The level of a independent variable known to as the "Control group" is designed to portray a neutral state.
Define the term independent variable?The cause is the independent variable. Its value is unaffected by the other study variables.
You plan a study out whether variations in the room's temperature have an impact on students' math test results.
The interior temperature of the space is your independent variable. By making the room cooler for 1⁄2 the participants and warmer for other half, you can change the temperature.Experimental findings in mathematics are your dependent variable. Using a standardized test, you measure each participant's math prowess to see if there are significant temperature-related differences.Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.
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I need help like asap !!!
only numbers and decimal points
Answer:
34 inches
Step-by-step explanation:
[tex]c = \sqrt{ {16}^{2} + {30}^{2} } [/tex]
[tex]c = \sqrt{256 + 900} [/tex]
[tex]c = \sqrt{1156} = 34[/tex]
Answer:
34 inches...................
the normal model n(58, 21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of 1.78. what is the weight of this egg in grams? round to the nearest hundredth of a gram.
The weight of the eggs in grams 95.38 grams.
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
X ~ N(58,21)
where µ = 58 and σ = 21
The z score for this case is given by this formula:
z = x - µ/σ
We know that the value of z = 1.78 and we want to estimate the value of X. If we solve for X from the z formula we got:
X = µ+1.78σ
= 58 + 1.78×21
= 95.38
So, the corresponding weight for a z score of 1.78 is 95.38 grams.
Hence we get the required answer.
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A bad contains 7 red marbels and 4 blue marbles
A marble is taken from the bag and replaced
another marble is taken from the bag
Work out the probability that the two marbles are the same colour
Give your answer as a fraction
Answer:
I think its 7/3 or 6/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
(a) Because there are 7 red and 4 blue marbles, there are 7+4=11 marbles in the bag.
So the ratio of all marbles to blue marbles is 11 to 4.
We write this as follows. 11:4
(b)There are 7 red marbles and 4 blue marbles in the bag.
So the ratio of red marbles to blue marbles is 7 to 4.
We write this as follows. 7:4
1. The slope of the line
y = x + 17 is ___.
2. The slope of the line
y = x - 7/9 is ___.
Answer:
1. 1
2. 1
Step-by-step explanation:
Step 1
recall the eqn of a line y = mx + c
where m is the slope
step 2
compare you eqn given with the eqn y = mx + c
y = mx + c
y = 1 x + 17
then m = 1 which is slope.
both qns follows the same procedure
Henry Bonnacio deposited 1,000 in a new savings account at First National Bank. He made no other deposits or withdrawls. After 6 months the interset was computed at an annual rate of 6 1/2%. How much simple interst did his money earn.
If p * q = 3p + 2q – 5, then 3 * 2 =
Work Shown:
p * q = 3p + 2q - 5
3 * 2 = 3(3) + 2(2) - 5
3 * 2 = 9 + 4 - 5
3 * 2 = 13 - 5
3 * 2 = 8
help is needed please and thank you
The required value of h(0) = 5 in the given function is represented in the shown graph.
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The function is given in the represented graph of g(x)
We have to determine the value of h(0) of the given function in the graph
According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.
Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.
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Sophia spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -2.1°F. Between 9am and noon, the temperature increased by 10.8°F. Between noon and 3pm, the temperature decreased by 13°F. Between 3pm and 6pm, the temperature dropped 18.4°F. What was the temperature at 6pm?
PLEASE HURRY I NEED IT FAST
Using mathematical operations, we know that temperature after 6 p.m. will be -22.7°F.
What exactly are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).So, the temperature after 6 p.m. will be:
The temperature at different times:
At 9 a.m. = -2.1°FBetween 9 - 12 = +10.8°FBetween 12 - 3 = -13°FBetween 3 - 6 p.m. = -18.4Now, calculate to get the temperature after 6 p.m. as follows:
= -2.1 + 10.8 - 13 - 18.4 = -22.7°FTherefore, using mathematical operations, we know that the temperature after 6 p.m. will be -22.7°F.
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Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Answer: $2.08
Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)
=2.08
bjorn is trying to estimate a difference in average sugar content in two different types of donut: one that is fat free, and one that is full fat. in order to do this, he collects 60 donuts to test: 22 donuts are fat free, 38 that are full fat. he says this satisfies his assumptions. is he right? if not what's wrong? (select all that apply)
The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.
Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.
He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal
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The rate of change of f(x)=2(2)x is ____________________ the rate of change of the function in the graph:
The rate of change of the exponential function f(x) = 2(2)ˣ is 2
What is an equation?An equation shows the relationship between two or more numbers and variables.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the rate of change.
Given the function:
f(x) = 2(2)ˣ
Hence rate of change = 2
The rate of change is 2
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From a set of whole numbers less than 25, what is the probability of getting a number either divisible by 5 or
divisible by 3?
A.) 3/5
B.) 14/25
C.) 1/5
D.) 11/25
From a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
The set of whole numbers = {0, 1,2,3,4,5.....}
The set of whole numbers less than 25 = {0,1,2,3,4,......,24}
The numbers divisible by 5 = {5, 10, 15, 20}
The numbers divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24}
The common term is 15
The probability = Number of favorable outcomes / Total number of outcomes
The number of favorable outcome = 11
Total number of outcomes = 25
Substitute the values in the equation
The probability = 11/25
Hence, from a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
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At a certain time, Janice notices that her digital watch reads a minutes after two o'clock. Fifteen minutes later, it reads b minutes after three o'clock. She is amused to note that a is six times b. What time was it when she looked at her watch for the second time?
Answer:
2 : 45
Step-by-step explanation:
Y = 5x -12 make x subject of formula
Answer:
(y+12)/5=x
Step-by-step explanation:
y=5x-12
get x by itself
y+12=5x
divide both sides by 5
(y+12)/5=x
In class, everyone took a handful of m&ms, so people had a mean of
37 with a standard deviation of 7. Ms G hands everyone 10 more
m&ms. What is the new mean?
3.13 test: congruence and constructions
Answer:
The angle-angle-side postulate. A.A.S
Step-by-step explanation:
Suppose that each semester at a particular community college Manuel has to pay $1478 in tuition and $121 in fees.
If Manuel has x semesters remaining, write an algebraic expression representing the total amount he will need for tuition.
If Manuel has x semesters remaining, write an algebraic expression representing the total amount he will need for the fees.
If Manuel has × semesters remaining, write an algebraic expression representing the total amount of money he will spend for tuition and
Answer:
Step-by-step explanation:
Let x be time, in semesters, remaining before Manuel graduates. We find that Manuel's expenses are:
$1478/semester in tuition, and
$121/semester in fees
1. x semesters remaining: fees
Remaining cost for fees, y, is the product of the fee times the number of semesters, x:
y =($121/semester)*x
y = ($121)*x
2. x semesters remaining: tuition
Remaining cost, y, is the product of the tuition (times the number of semesters, x.
y = ($1478/semester)*x + ($121/semester)*x
y = ($1599)*x
3. x semesters remaining: tuition and fees
Remaining cost, y, is the sum of the products of the tuition (times the number of semesters, and the fees (tix.
y = ($1478/semester)*x + ($121/semester)*x
y = ($1599)*x
help meeeeeeeeeeeeeee pleaseee
The table of solutions for this quadratic equation (y = -2x²) include the following:
x y_
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this quadratic equation is shown in the image attached below.
How to determine the solution and plot the graph?In Mathematics, the valid and true solutions to the given quadratic equation (y = -2x²) are referred to as ordered pairs and they can be determined by substituting the x-values contained in the table into the quadratic equation as follows;
When x = -2, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
When x = -1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
When x = 0, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
When x = 1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
When x = 2, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, you would notice that a graph of this quadratic equation is parabolic (u-shaped) in nature with a slope of -2.
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each face of a cube is painted either red or blue, each with probability 1/21/2. the color of each face is determined independently. what is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?
The probability that the vertical faces have the same color painted is 0.6875
There are 6 faces on a cube.
Each face of the cube will either be red or blue.
The probability that one face will have red color = probability that the face will have blue color = 1/2
It is given that the cube is placed on a horizontal surface and the 4 vertical faces have the same color.
The painting of the faces of the cube clearly follows a binomial distribution.
Therefore the probability to color the faces of a cube
= P(4 faces are red, 2 faces blue) + P(4 faces are blue, 2 faces red) + P(5 faces blue) + P(5 faces red) + P(All faces blue) + P(all faces red)
For any binomial distribution
ⁿCₓ X pˣ (1 - p)ⁿ⁻ˣ
where
n = no. of sample
x = random variable
p = probability of success
Hence we get
⁶C₄ X 0.5⁴ 0.5² + ⁶C₄ X 0.5⁴ 0.5² + ⁶C₅ X 0.5⁵ 0.5 + ⁶C₅ X 0.5⁵ 0.5
⁶C₆ X 0.5⁶ + ⁶C₆ X 0.5⁶
= 15 X 0.015625 + 15 X 0.015625 + 6 X 0.015625 + 6 X 0.015625 + 0.015625
= 0.6875
Therefore we get the probability of having the four vertical faces of the same color to be 0.6875.
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Can someone help Solve for x.
Please helppp!
1 :What is the solution to the equation?
−4=x9
2 :Solve for t.
−32=4t
Responses
t=−8
t equals negative 8
A:T = -8
B:T = - 1/8
C:T= 28
D:T=36
3 : What is the solution to the equation?
x−18=−72
4 ;What is the solution to the equation?
−18=x−15
Enter your answer in the box.
5 :What is the solution to the equation?
−24x=−4
Enter your answer as a simplified
The value of the variables in the equation are as follows:
1. x = -4 / 9
2. t = -8
3. x = -54
4. x = -3
5. x = 1 / 6
How to solve an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Let's find the solution of the equations. The solution of the equation is the value of the variable x. A variable is a number represented by a letter in an equation.
Therefore,
1.
-4 = 9x
divide both sides of the equation by 9
x = - 4 / 9
2.
−32=4t
divide both sides of the equation by 4
t = - 32 / 4
t = - 8
3.
x − 18 = −72
add 18 to both sides of the equation
x - 18 + 18 = -72 + 18
x = -54
4.
−18 = x − 15
add 15 to both sides of the equation
-18 + 15 = x - 15 + 15
-3 = x
x = -3
5.
−24x = −4
divide both sides of the equation by - 24
x = - 4 / -24
x = 1 / 6
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Determine whether the relation is a function. Then list the domain and range.
{(1, -2), (-1,2), (-2,4), (1,3)}
The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The domain of the function is defined as the set of all the possible values of the function.
The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.
In the given question,
The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;
C(x) = 3x^2-1500x+199,000
(a) In the given question we have to find the number of bicyles that must be manufactured to minimize the cost.
The given function is
C(x) = 3x^2-1500x+199,000
To find the maximum or minimum value we firstly find the value of f'(x).
C'(x) = 6x-1500
Now put f'(x)=0
6x-1500=0
Add 1500 on both side, we get
6x=1500
Divide by 6 on both side we get
x=250
Hence, the number of bicycles that must be manufactured to minimize the cost of 250.
(b) Now finding the value of function at x=250
C(250) = 3(250)^2-1500*250+199,000
C(250) = 3*62,500-375,000+199,000
C(250) = 187,500-375,000+199,000
C(250) = 11,500
The minimum cost is $11,500.
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17. Yu Yan withdrew $25 from her savings account. The next day, she withdrew another $32.75 from
her savings account.
a. Write a numerical expression to represent the changes in Yu Yan's account.
b. Evaluate your expression from part (a).
18. Evaluate 33.28 0.64 by using the standard algorithm.
Answer:
Step-by-step explanation:
a. The numerical expression representing the changes in Yu Yan's account is x = 25 + 32.75.
b. After evaluating expression (a), we see that $57.75 is the total amount changed from her account.
What is a numerical expression?
In mathematics, a numerical expression is a combination of sets of numbers and integer combined using addition, subtraction, multiplication, or division. When used with mathematical operators like addition, subtraction, multiplication, or division, it is said that a numerical expression is a combination of different integer numbers. The following are a few typical examples of numerical expressions: 5 + 10150 - 2520 × 2 + 5 40 ÷ 10 × 2 - 8 + 1 75 + 6 - 8.
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Use synthetic division to divide x^3+8x^2+11x-20 by (x+4). Explain steps
Answer:
X²+4X-5 without a reminder
What is the amount of m
Answer:
N=138
Step-by-step explanation:
(4x+6) + N = 180
In order to complete this problem we need to solve for x. 4x+6=7x-21
Subtract on both sides
Subtract again
Divide
x=9
Plug it in now so 4 times 9 plus 6. 36, plus 6 = 42.
plug it in to the equation 42+N=180
-42 -42
138 = N
Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.
Part A
To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.
Part B
In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.
Ramundo will get a better deal at Roller worlds.
This is a question of percentages.
Given that:-
Regular price of rollerblades at roller world = $ 94
Discount at rollerworld = 15 %
Price of rollerblades at Outdoor adventures = $ 81.50
Sales tax = 6 %
Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9
Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694
Price of rollerblades at outdoor adventures = $81.50
Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39
As,
$ 84.694 < $ 87.39
Ramundo will get a better deal at Roller worlds.
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At a certain gas station, gas costs $2.85 a gallon. Jason paid $25.50 to fill his tank. Write and solve an equation to
find how many gallons of gas he bought?
Answer:
8.95 gallons
Step-by-step explanation:
25.50/2.85 = 8.95
HELPPPPPPPPPP
A) 2
B) 3
C) 4
D)5
Answer:
it's b extra words. extra words. extra words. extra words
Step-by-step explanation:
I took the test
Please help me when this question it would mean a lot I’m alll most out of time
The motel revenue based on the number of rooms rented and group rental are as follows;
(a) The price for renting three rooms is $195
(b) The formula through which the unit rate of a room is found is aₙ = 71 - 3·(n -1)
(c) The function for the revenue, R(n) = 74·n - 3·n²
(d) The most amount that can be made is $456
The number of rooms that gives the most amount is 12 rooms
What is a revenue in business?A revenue is the total amount received for the sale of goods and services
The number of rooms in the motel = 44
The price for renting one room = $71
The price for renting two rooms = $68
The per room group rate = $71 - $3 for each additional room
(a) The amount made if a family rents three rooms is given as follows;
The unit price for two rooms = $71 - $3 = $68
The unit price for three rooms = $68 - $3 = $65
The price for the three rooms is therefore;
$65 × 3 = $195
(b) The formula that gives the rate charged for each room to an organization is an arithmetic progression, which can be expressed as follows;
aₙ = a₁ + (n - 1)·d
Where;
n = The number of rooms the organization plans to rent
a₁ = The first term of the arithmetic progression = 71
d = The common difference = -3
Which gives;
aₙ = 71 - 3·(n - 1)
The price for each room when an organization rents n rooms is therefore;
aₙ = 71 - 3·(n - 1)
(c) The revenue for renting n room is given by the formula;
Revenue, R(n) = Unit rate × Number of rooms
∴ R(n) = (71 - 3·(n - 1)) × n = 74·n - 3·n²
(d) The -ve coefficient of n² in the formula with which the revenue can be found indicates that the function has a maximum value. The number of rooms that gives the most revenue is obtained at the from the derivative of the R(n) as follows;
R'(n) = 74 - 6·n = 0
n = 74/6 ≈ 12
Which gives;
[tex]R_{max}[/tex] = R(12) = 74 × 12 - 3 × 12² = 456
The maximum revenue from renting to a single group ≈ $456
The number of rooms to rent that gives the maximum revenue is n ≈ 12
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