Answers
Answer:
24 square units
Step-by-step explanation:
1/2 times base times height is the formula for the area of a triangle
the base is 12
the height is 4
1/2(12)(4)
6(4)
24
hopes this helps please mark brainliest
Related Questions
Problem: Show the equation below with "Gate-Array Logic Circuit"; Equation => x² + 3 x y − 14 =output Explanations: Design a Gate-Array Logic Circuit Inputs X, Y 4-bit numbers and output is 8-bit number. Use AND, OR, XOR, NOT gates. Use Full-Adder circuit.
Answers
Answer:
Step-by-step explanation:
A gate-array logic circuit for the equation x² + 3xy - 14 = output could be designed as follows:
First, we need to calculate x² and 3xy. This can be done using AND, OR, XOR, and NOT gates.
Next, we need to add the two values obtained in step 1 using a full-adder circuit.
Finally, we need to subtract 14 from the sum obtained in step 2. This can be done using a subtractor circuit, which is essentially a full-adder circuit with an additional input for the subtrahend (in this case, 14).
Here is a schematic of the gate-array logic circuit:
_______________
| |
X--| AND/OR/XOR/NOT |---x²
Y--| AND/OR/XOR/NOT |---3xy
|_______________|
|
______
| |
x²--| Full |---(x² + 3xy)
3xy--| Adder|
|______|
|
______
| |
(x² + 3xy)--| Sub |---output
14--| tract|
|______|
Note that this is just one possible way to design the circuit, and there may be other ways to achieve the same result.
Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:
Multiple Choice
Will miss her goal by about $10,893.
Will miss her goal by about $11,680.
Will miss her goal by about $11,833.
Answers
Gracie shay must add $11,873 to buy that new hammer with its initial investment.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the given information in the question,
The price of hammer =$28,000
The annual rate of interest = 6%
Total number of years = 5
Principal investment = $12,000
The equation for annual compound interest, with the principal amount included, is :
A = [tex]P(1+\frac{r}{n} )^(^n^t^)[/tex]
Substitute all the values from above in the equation,
A = 12,000(1+0.06/2)⁽²⁾⁽⁵⁾
A = 12,000 × 1.03¹⁰
A = $16127
After five years, Gracie won't be able to be the hammer and will have to pay more money:
28000 - 16127 = $11,873.
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A set of n = 15 pairs of scores (X and Y values) produces a correlation of r = 0.20. If each of the X values is multiplied by 2 and the correlation is computed for the new scores, what value will be obtained for the new correlation?
Answers
The value obtained for new correlation will be 0.1
What is Correlation ?
Correlation is a term which is used in statistics. It is a statistical measure that indicates the range to which the two or more variables fluctuate together.
There are mainly two type of correlation that is positive correlation in which variables increase or decrease partially in negative correlation if one variable is increases then other decreases
Given :
n = 15 pairs
r = 0.20
According to the Question , If each of the X values is multiplied by 2
The value obtained for new correlation will be [tex]r = \frac{0.2}{2}[/tex] = 0.1
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Andrew received 85% on the test. He got 34 questions correct . How many questions were on the test?
Answers
Answer:
40
Step-by-step explanation:
let x = # of Qs on the test
0.85x = 34
x = 34/0.85 = 40
In the following question, we will count distinct integer solutions to the equation X_1 + X_2 + X_3 + X_4 = 35. How many solutions are there if all the variables must be non-negative? How many solutions are there if all the variables must be positive? How many solutions are there if X_1 greaterthanorequalto 2, X_2 greaterthanorequalto 4, X_3 greaterthanorequalto 0, and X_4 greaterthanorequalto 0? How many solutions are there to the equation X_1 + X_2 + X_3 + X_4 lessthanorequalto 35 in which all the X_i are non-negative?
Answers
There are 364 positive variables and 5984 non - negative integers.
An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). [1] A negative number is the additive reciprocal of the corresponding positive number. [2] In mathematics languages, sets of integers are often represented by a bold Z or blackboard bold . The integers form the smallest group and smallest ring containing the natural numbers. In algebraic number theory, integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.
Let us take each xi = a₁+1
x₁+x₂+x₃+x₄ = 35
∴a₁+a₂+a₃+a₄ = 31 ,where each ai is non-negative.
Now using the stars and bars method the answer is -
([tex]\left \{ {{31 + 4 - 1} \atop {4 - 1}} \right.[/tex] = [tex]\left \{ {{34} \atop {3}} \right.[/tex]}
= [tex]\frac{34!}{3! * (34 - 3)!}[/tex]
= 5984
A particular solution of this equation corresponds to the placement of 3 addition signs in the 14 spaces between successive ones in a row of 15 ones.
Since, a particular solution of the equation corresponds to the placement of k−1 addition signs in the n−1 spaces between successive ones in a row of n ones, the number of solutions of the equation x₁ + x₂ + x₃ +⋯+xₐ=n in the positive integers is
[tex]\left \{ {{n - 1} \atop {k - 1}} \right.[/tex]}
For instance, placing an addition sign in the fourth, seventh, and twelfth spaces gives
1111+111+11111+111
which corresponds to the solution x₁ = 4, x₂ = 3, x₃ = 5, x₄ = 3.
Hence, the number of such solutions is the number of ways we can select which three of the 14 spaces between successive ones in a row of 15 ones will be filled with addition signs, which is
[tex]\left \{ {{14} \atop {3}} \right.[/tex]}
= [tex]\frac{14!}{3! * (14 - 3)!}[/tex]
= 364
Therefore, there are 364 positive variables and 5984 non - negative integers.
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solving temperature math problems; temperature word problems with solutions; time and temperature math problems; if the temperature is 3 degrees and falls by 12 degrees what is the new temperature; the temperature at noon is 12; the temperature at 6pm was 31 1 2 f; what was the difference in temperature at 10 00 am and 12 00 noon
Answers
On solving the provided question we got to know that - Thus, the temperature will be 14°C below zero at midnight.
What is equation?Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.
The answer to the query is provided as,
Temperature at the start, or at midday, is 10°C.
Temperature change at a rate of 2°C per hour
Then,
[tex]Temperature at 1 PM = 10 + (-2) = 10 - 2 = 8[/tex] °C
[tex]Temperature at 2 PM = 8 + (-2) = 8 -2 = 6\\[/tex]°C
[tex]Temperature at 3 PM = 6 + (-2) = 6 - 2 = 4\\[/tex]°C
[tex]Temperature at 4 PM = 4 + (-2) = 4 - 2 = 2\\[/tex]°C
[tex]Temperature at 5 PM = 2 + (-2) = 2 - 2 = 0\\[/tex]°C
[tex]Temperature at 6 PM = 0 + (-2) = 0 -2 = -2\\[/tex]°C
[tex]Temperature at 7 PM = -2 + (-2) = -2 -2 = -4\\[/tex]°C
[tex]Temperature at 8 PM = -4 + (-2) = -4 – 2 = -6\\[/tex]°C
[tex]Temperature at 9 PM = -6 + (-2) = -6 – 2 = -8[/tex]°C
At nine o'clock at night, it will be eight degrees below zero.
Then,
the temperature at 12 AM, or midnight
Temperature change over 12 hours = -2°C divided by 12 equals - 24°C
Therefore, the temperature at midnight will be 10 + (-24)
= - 14°C
Thus, the temperature will be 14°C below zero at midnight.
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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).
The results of the regression were:
y=ax+b
a=-1.284
b=39.108
r2=0.819025
r=-0.905
Use this to predict the number of situps a person who watches 14 hours of TV can do (to one decimal place)
Answers
A person who watches 14 hours of TV can do 21.1 sit-ups.
What is the regression equation?The regression equation is used to predict or estimate the value of the response (or dependant) variables based on an understanding of the explanatory (or predictor) variables.
A regression equation has the following general form:
y = ax + b
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The regression equation showing the relationship between the number of sit-ups a person can accomplish (y) and the number of hours of TV viewed each day (x) is:
y = -1.284x + 39.108
Compute the number of sit-ups a person who watches 14 hours of TV can do as follows:
y = -1.284(14) + 39.108
y = -17.976 + 39.108
y = 21.132 ≈ 21.1
Thus, a person who watches 14 hours of TV can do 21.1 sit-ups.
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Solve the system of linear equations by answering each question.
9x - 4
-2x+18
=
4.3.1) Set the mathematical equations equal to each other.
4.3.2) Solve for the independent variable to find the x-coordinate.
4.3.3) Substitute the x-coordinate into y=9x - 4 to find the y-coordinate.
4.3.4) State the solution as an ordered pair.
4.3.5) Confirm the solution by substituting it into y = −2x+18.
Answers
After solving the given equations the value obtained for x and y will be equal to 2 and 14 respectively.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
The given equations are:
y = 9x - 4 and,
y = -2x + 18
Equate both equations,
9x - 4 = -2x + 18
9x + 2x = 18 + 4
11x = 22
x = 2
Substitute x = 2 in the first equation,
y = 9x - 4
y = 9(2) - 4
y = 14
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For which of the following increasing functions f does (f-1)'(20) = 1/5A f(x)= x + 5
B f(x) = x^3 + 5x + 20
C f(x) = x^5 + 5x + 14
D f(x)= e^x+ 5x + 19
Answers
We want to see for which one of the given functions, the inverse derivate evaluated in x = 20 is equal to 1/5.
The correct option is B: f(x) = x^3 + 5x + 20
What is inverse derivative?
The inverse function rule in calculus is a formula that converts the derivative of the inverse of a bijective and differentiable function, f, into the derivative of f.
Remember that two functions f(x) and g(x) are inverses if:
f( g(x)) = g( f(x))) = x
And for the inverse derivate of a function, we have the rule:
[tex]\frac{d}{dx}[f^{-1} (f(x))]=\frac{1}{{f^'}(x)}[/tex]
So first we need to find for what value of x each function is equal to 20, and then we need to see if the derivate of the function evaluated in that same value of x is equal to 5.
For example, for the first option we have:
A: f(x) = x + 5
We find the x-value such that the function is equal to 20.
f(15) = 15 + 5 = 20
We derivate the function.
f'(x) = 1
We evaluate the function in the x-value we got above.
f'(15) = 1
This is not the correct option, as this is not 5.
Now we need to do that for all the given options.
The only correct option will be the second one:
B: f(x) = x^3 + 5x + 20
First we find the x-value such that this is equal to 20
f(0) = 0^3 + 5*0 + 20 = 20
Then the x-value is x = 0.
Now we find the derivate of f(x).
f'(x) = 3*x^2 + 5
Now we evaluate that in the x-value we got before:
f'(0) = 3*0^2 + 5 = 5
As wanted, this is equal to 5.
Then we have:
[tex]\frac{d}{dx}[f^{-1} (f(0))]=\frac{1}{{f^'}(0)}[/tex]
[tex]\frac{d}{dx} [f^{-1} (20)]=\frac{1}{5}[/tex]
As wanted.
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5-55.
Additional Challenge: At the beginning of 1990, oil prices were $20 a barrel. Some oil investors predicted that the price
of oil would increase by $2.25 a barrel per year.
In the beginning of 2005, the price of oil was $30 a barrel. With increasing demand for oll around the world, oil investors in
2005 predicted that the price of oil would increase by $5.00 a barrel each year.
DILOIL
a. Let a represent the number of years since 2005. Write an equation that predicts the price of oil, y, using the information available in 2005.
b. Investors in 1990 did not have the benefit of the 2005 information. Write an equation that represents the prediction made in 1990, using the same variables as in
part (a). Remember that a represents the number of years since 2005.
c. Use the equations you wrote in parts (a) and (b) to determine when the cost of a barrel of oil would be the same for both price predictions.
d. In the spring of 2011, a barrel of oil was selling for about $112. Which prediction was closer? Was it a pretty good prediction?
Answers
a) The linear function for the 2005 estimate is given as follows: y = 30 + 5x.
b) The linear function for the 1990 estimate is given as follows: y = 53.75 + 2.25x.
c) They would be predicted to have the same cost in the year of 2013.
d) The 1990 prediction was closer, however it still had a large residual, hence neither was good enough.
How to define the linear functions?The linear functions are defined in the slope-intercept format, given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change for the price.b is the y-intercept, representing the initial cost in the reference year.Taking 2005 as the estimate, the function is given as follows:
y = 30 + 5x.
Taking 1990 as the estimate, the equation would be of:
y = 20 + 2.25x.
The estimate for 2005 would be of:
y = 20 + 2.25(15) = 53.75.
Hence the equation taking 2005 as the estimate would be of:
y = 53.75 + 2.25x.
The costs would be the same when:
30 + 5x = 53.75 + 2.25x.
2.75x = 23.75
x = 23.75/2.75
x = 8.63 -> + 2005 -> year of 2013.
The estimates for 2011(6 years after 2005) are given as follows:
y = 30 + 5x = 30 + 5(6) = $60.y = 53.75 + 2.25(6) = $67.25. (better estimate but not good enough).More can be learned about linear functions at https://brainly.com/question/24808124
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Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. The better deal is:
Multiple Choice
Four Rivers because she will earn about $6,442 more.
Four Rivers because she will earn about $6,523 more.
Four Rivers because she will earn about $4,000 more.
Four Rivers because she will earn about $20,000 more.
Answers
Jane must therefore deposit her savings in the four rivers bank.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the data provided in the question,
Rate, r = 12%
After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:
[tex]A = P(1+\frac{r}{100} )^n[/tex]
For compounded quarterly,
n = 5 × 4
n = 20
A = 40000(1 + 12/(4 × 100))²⁰
A = 72244.44 (i)
If Jane placed her savings with the Four Rivers, then,
A = 40000(1 + 14/(2 × 100))¹⁰
A = 40000 × 1.9671
A = 78686.054 (ii)
Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.
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1/1-sinx+1/1+sinx en sade hali
Answers
Answer:Adım adım açıklama: cevap ekte kolay gelsin.
Step-by-step explanation:
If x = 7 units and h = 6 units, then what is the area of the rhombus pictured above? A 8 square units b 7 square units c 42 square units d 28 square units
Answers
The area of the rhombus is 42 square units, and the correct answer is C.
What is a rhombus?A rhombus is one type of parallelogram and has 4 sides and 4 vertices.
Every side is equal in length and opposite angles are equal.
We have given that side of the rhombus is 7 units and height is 6 units.
To find the area of rhombus:
Remember that a rhombus is any quadrilateral that has four equal sides.
As a rhombus is also a parallelogram.
Formula to calculate area of rhombus using base and height;
Area of the rhombus = base x height
We have base = 7 units
And height = 6 units.
Substituting the values to the formula,
Area of the rhombus = 7 x 6
Area of the rhombus = 42 unit squared.
Therefore, the area is 42 square units.
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-9/7 greater than -11/8
Answers
To compare two fractions, we need to find a common denominator and then compare the fractions using the numerators. In this case, we can find a common denominator by finding the least common multiple (LCM) of 7 and 8. The LCM of 7 and 8 is 56.
We can then rewrite both fractions using a denominator of 56:
-9/7 = -36/28
-11/8 = -44/28
Now we can compare the fractions using their numerators:
-36/28 < -44/28
Therefore, -9/7 is less than -11/8.
Why does it have the name "denominator"?The Latin word "nomen" (which also appears in words like "nominate" and "nomenclature"), which meaning "name," is the root of the word "denominator." And that is essentially what the denominator of a fraction does: it "names" or specifies the kind of fraction that is specified by the numerator (the top part).
The denominator formula is what?The numerator of a fraction, which determines how many parts are being taken into account, is equal to the number of equal parts that make up the total. You can think of a fraction as being composed of p parts, which is the numerator of an item, and q equal parts, which is the denominator.
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A fence is to be built to enclose a rectangular area of 260 square feet. The fence along three sides is to be made of material that costs 3 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
Answers
The dimensions of the enclosure that is most economical to construct will be 3 feet and 86.67 feet.
What are the maxima and minima of a function?For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.
The maximum and minimum value of the function is at f'(x) = 0.
A wall is to be worked to encase a rectangular area of 260 square feet. The wall along three sides is to be made of material that costs 3 bucks for every foot, and the material for the fourth side costs 15 bucks for each foot.
LW = 260
L = 260 / W
Then the minimum cost is given as,
y = 3L + 3W + 3L + 15W
y = 18W + 6L
y = 18W + 6(260 / W)
y = 18W + 1560 / W
Differentiate with respect to W and put it zero, then we have
y' = 0
18 - 1560/W² = 0
W² = 1560 / 18
W = 86.67 feet
Then the length is given as,
L = 260 / 86.67
L = 3 feet
The dimensions of the enclosure that is most economical to construct will be 3 feet and 86.67 feet.
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Which of the following is the best estimate of
A.7 1/2
B. 8
C.8 1/2
D. 9
Answers
Answer:
b
Step-by-step explanation:
did the math?
8 is the best estimate of [tex]8\frac{1}{8}[/tex].
In simple words, the ratio of the two numbers is called a fraction.
Mixed fraction is a form of a fraction which is defined as the ones having a fraction and a whole number.
For example, 2 (1/3) is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Step 1: Multiply the denominator with the whole number,
i.e. Multiply 8 with 8 in the given example, 8(1/8).
8× 8 =64
Step 2: Add the numerator of the Fraction to the result in step 1. i.e., Add 1+ 64=65.
Step 3: Keep the Denominator same i.e. 8.
Step 4: The Improper fraction obtained is: 65/8.
Given number can be denoted as 8+[tex]\frac{1}{8}[/tex] = 8+0.15 = 8.15
So the number is nearest to 8 itself.
i.e. 8 is the best estimate.
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an independent random sample is selected from an approximately normal population with an unknown standard deviation. find the p-value for the given sample size and test statistic. (assume we're considering a two sided hypothesis tests in each question. round your answers to three decimal places.)
Also determine if the null hypothesis would be rejected at α = 0.05.
(a) HA : µ > µ0, n = 11, T = 1.91
(b) HA : µ < µ0, n = 17, T = −3.45
(c) HA : µ 6= µ0, n = 7, T = 0.83
(d) HA : µ > µ0, n = 28, T = 2.13
Answers
Using the t-distribution, it is found that the null hypothesis is rejected for a, b, c
Item a:
We have a right-tailed test, as it is being tested if the mean is more than a value.
The p-value is found using a t-distribution calculator, with 11 - 1 = 10 df and t = 1.91, hence it is of 0.0426.
The p-value is of 0.0426, which is less than 0.05, thus the null hypothesis is rejected.
Item b:
We have a left-tailed test, as it is being tested if the mean is less than a value.
The p-value is found using a t-distribution calculator, with 17 - 1 = 16 df and t = -3.45, hence it is of 0.0016.
The p-value is of 0.0016, which is less than 0.05, thus the null hypothesis is rejected.
Item c:
We have a two-tailed test, as it is being tested if the mean is different than a value.
The p-value is found using a t-distribution calculator, with 7 - 1 = 6 df and t = 0.83, hence it is of 0.4383.
The p-value is of 0.4383, which is more than 0.05, thus the null hypothesis is not rejected.
Item d:
We have a right-tailed test, as it is being tested if the mean is more than a value.
The p-value is found using a t-distribution calculator, with 28 - 1 = 27 df and t = 1.91, hence it is of 0.0195.
The p-value is of 0.0195, which is less than 0.05, thus the null hypothesis is rejected.
Therefore, in an independent random sample is selected from an approximately normal population with an unknown standard deviation. Using the t-distribution, it is found that the null hypothesis is rejected for a, b, c
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan.
Find the missing part.
Answers
The missing part of the triangle are x = 7.5 units, y = (7.5√3)/2 units, y = (7.5√3)/2 units, z = (15√3)/2 units, a = 3.75 units and b = 11.25 units
How to find the missing part of the triangle?Given: c = a+b = 15, X = 30°, Z = 60°, C = 90° for the triangles
Using the sine rule
x/sin X = z/sin Z = c/sin C
x/sin X = c/sin C
x/sin30 = 15/sin90
x/0.5 = 15/1
x = 0.5 × 15 = 7.5 units
Using trigonometrical ratio:
sin 60 = y/x
(√3)/2 = y/7.5
y = (7.5√3)/2 units
sin 30 = y/z
1/2 = (7.5√3)/2/z
z = [(7.5√3)/2] / (1/2)
z = (15√3)/2 units
cos 30 = b/z
(√3)/2 = b/(15√3)/2
b = [(√3)/2] × [(15√3)/2]
b = 45/4 = 11.25 units
a+b = 15
11.25 + b = 15
a = 15 - 11.25
a = 3.75 units
b = 45/4 = 11.25 units
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What sum of money will amount to #5200 in 6 years at the same rate of interest (simple) at which #1706 amount to #3412
in 20years
Answers
The sum of money that will amount to 5,200 in 6 years at the same rate at which #1706 amounts to #3412 in 20 years is 4000.
What is the rate of simple interest?The rate of simple interest for changing 1706 to 3412 in 20 years is this:
S.I = PRT/100
Since the principal amount doubled, we can call this a 100% increase.
Thus the rate in 20 years
= 100/20
=5%
Since the rate for the principal amount is 5%, we can apply the same in the second sentence which gives us:
5% × 6
= 30%
5200 = 130%X
X = 520,000/130
= 4,000
So, the sum of money that will amount to #5200 in 6 years at the same rate of interest (simple) as the initial figures is 4000.
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A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate. Which of the following would be an appropriate procedure for this experiment?
ANSWER IS A
A) The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.
B) The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
C) The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment.
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
Answers
The option that would be an appropriate procedure for this experiment is option A) The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.
How does random assignment work?Random assignment is seen as a method of assigning participants from your sample to various groups in experimental research by using randomization. By using this technique, each sample member has a known or equal chance of being assigned to either the control group or the experimental group.
Note that with the goal of making the groups equal at the start of the study, random assignment is a method used in experiments to divide participants into multiple study groups that include those who share similar traits.
Therefore, in regards to the work of the doctor in the above case, any observed differences in the two groups' cholesterol levels would most likely be brought on by the new medication because the subjects' variability would be evenly distributed between the two groups. Hence option A is correct.
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students with above-average scores on exam 1 in stat 001 tend to also get above-average scores on exam 2. but the relationship is only moderately strong. in fact, a linear relationship between exam 2 scores and exam 1 scores explains only 36% of the variance of the exam 2 scores.
Answers
The correlation between Exam 1 scores and Exam 2 scores is r = .6
The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6
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Gina runs every 8 days, cycles every 16 days, and jogs every 24 days. If she did all three activities on Tuesday, in how many days and on what day of the week will she do all three activities again on the same day?
Answers
When she did all three activities on Tuesday, the number of days that Gina will do all three activities again on the same day is in 48 days.
How to illustrate the LCM?The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, denoted by lcm in arithmetic and number theory, is the smallest positive integer that is divisible by both a and b.
LCM is an abbreviation for "Least Common Multiple." The smallest multiple that two or more numbers have in common is defined as the least common multiple.
Since Gina runs every 8 days, cycles every 16 days, and jogs every 24 days. This will be:
Multiples of 8 = 8, 16, 24, 32, 40, 48
Multiples of 16 = 16, 32, 48
Multiples of 24 = 24, 48
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The universities budget covers cost for nine months what is Amy’s monthly budget for textbooks in course supplies? What is her monthly budget for rent on utilities and food? What is your monthly budget for a personal and miscellaneous cost? what is her total monthly budget?
Answers
We can compute Amy's monthly budget for each question using division operations, as follows:
1. Amy's monthly budget for textbooks and course supplies is $100.
2. Amy's monthly budget for rent, utilities, and food is $1,422.
3. Amy's monthly budget for personal and miscellaneous costs is $251.
4. Amy's total monthly budget is $1,825.
How to determine the monthly budget:The total monthly budget is the total budget divided by the period (nine months).
Division operations can be used to determine the individual monthly budgets for each expense class by dividing the total cost by 9.
Living On/Off-Campus:Textbooks and Course Supplies = $900 $100
Rent, Utilities, and Food = $12,798 $1,422
Personal & Miscellaneous Expense = $2,259 $251
Transportation = $468 $52
Total non-tuition expenses = $16,425 $1,825 ($16,425/9)
The number of months for the year = 9 months
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Solve the inequality
8+3x<20
Answers
Answer:
x < 4
Step-by-step explanation:
8 + 3x < 20 ( subtract 8 from both sides )
3x < 12 ( divide both sides by 3 )
x < 4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 + 3x < 20}[/tex]
[tex]\mathsf{3x + 8 < 20}[/tex]
[tex]\text{Subtract by 8 to both sides}[/tex]
[tex]\mathsf{3x + 8 - 8 < 20 - 8}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{3x < 20 - 8}[/tex]
[tex]\mathsf{3x < 12}[/tex]
[tex]\text{Divide 3 to both sides}[/tex]
[tex]\mathsf{\dfrac{3x}{3} < \dfrac{12}{3}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{x < \dfrac{12}{3}}[/tex]
[tex]\mathsf{x < 4}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x < 4}}}\huge\checkmark[/tex]
[tex]\rm{You\ have\ an\ O P E N\ circle\ shaded\ to\ the\ left\ }\large\checkmark[/tex]
[tex]\huge\text{Good luck on assignment \& enjoy your day!}[/tex]
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Write in simplest form
Answers
Answer:
write your question in a proper way
A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of . What is the approximate distance from the playground to the road along the other path?
The picture shows an upside-down right-angle triangle. The angle of the top vertex is 50 degrees. The length of the hypotenuse is 2 mi and the swing stands on the downside of the triangle
A.
3.1 mi
B.
1.5 mi
C.
1.3 mi
D.
2.6 mi
Answers
The approximate distance from the playground to the road along the other path is 1.3 miles.
How to find the distance between the road and the playground?A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of 50 degrees.
The approximate distance from the playground to the road along the other path can be calculated as follows;
using trigonometric ratios,
cos 50° = adjacent / hypotenuse
let
x = distance from the playground to the road along the other path
Hence,
cos 50 = x / 2
cross multiply
x = 2 cos 50°
x = 2 × 0.64278760968
x = 1.28557521937
x = 1.3 miles.
Therefore,
distance form play ground to the road = 1.3 miles.
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A manufacturing company finds that they can sell 275 items at $2.50 per item and 350 items at $2.00 per item. If the relationship between the number of items sold i and the price per item p is a linear one: Find a formula that gives x in terms of p, 2 = Preview Now use the formula to find the number of items they will sell if the price per item is $3.50. They will sell items if the price is $3.50.
Answers
The number of items 125 they will sell if the price per item is $3.50. They will sell 125 items if the price is $3.50.
In the given question, a manufacturing company finds that they can sell 275 items at $2.50 per item and 350 items at $2.00 per item.
If the relationship between the number of items sold i and the price per item p is a linear one then we have to find a formula that gives x in terms of p, x =
Now we have to use the formula to find the number of items they will sell if the price per item is $3.50. They will sell items if the price is $3.50.
Let’s find the slope using
m = {y(2)-y(1)}/{x(2)-x(1),
where
x(1) = 2.5 y(1)=275
x(2) = 2 y(2)=350
m = (350-275)/(2-2.5)
m = 75/(-0.5)
m = -150 is the slope
Point slope form to find the equation:
y - y1 = m(x-x1)
y - 275 = -150(x - 2.5)
y - 275 = -150x + 375
y = -150x + 275 + 375
y = -150x + 650,
But they want to have x = items sold and p = the price
So we have to write the equation where x is in terms of p
x = -150p + 650:
then use the formula to find the number of items they will sell if the price per item is $3.00.
x = -150(3.5) + 650
x = -525 + 650
x = 125 items sold when the price is $3.5
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answer the question posed in part (c) for a confidence level of 74%. (round your answer to two decimal places.)
Answers
The Z-value posted in part(c) for a confidence level of 74% is 1.150
The Confidence level in statistics denotes the likelihood that an estimate of the location of a statistical parameter (such as an arithmetic mean) in a sample survey will also hold true for the population.
Confidence levels must be determined before conducting a survey since they affect the poll's margin of error and necessary coverage. 90, 95, and 99% confidence intervals are widely employed in surveys.
A calculated statistic that was based on a sample would also be true for the entire population, within the established confidence level, with a 95% likelihood, if the confidence level were set at 95%.
Every confidence level has different z-value
In the question, We have to write the Z-value of 74% which is 1.15
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is the following true? pls i need help
Answers
Answer: No, i dont think so.
Step-by-step explanation:
AC = BC is not listed as given.
Sherry paid 6.5% interest on a one-year loan. if she paid a total of 149.50 in interest, what was the original amount of the loan? A. 2,300 B. 971.75 C. 9717.50 D. 230.00
Answers
The original amount of the loan is $23,000.
What is the simple interest?
Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
The formula of simple interest is I = PRT.
I = interest
P = Principal
R = rate of interest
T = time
Given that the rate of interest is 6.5%. Thus R = 6.5% = 0.065
The interest that she paid after 1 year is $149.50.
Thus I = $149.50 and T = 1
Putting R = 0.065, I = $149.50, and T = 1 in I = PRT
149.50 = P × 0.065 × 1
Divide both sides by 0.065
P = 23000
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