Answer:
See below
Step-by-step explanation:
Horizontal lines have ZERO slope
Vertical lines have 'undefined' slope
for this example x = 1/2 includes the point and has undiefined slope
What is the absolute value of −9.4?
Answer:
9.4
Step-by-step explanation:
Evaluate the numerical expression.
7.5 × 6.6 ÷ 0.6 − 15.3
Responses
A 67.2
B 97.8
C −32.25
D 197.25
The required numerical expression is evaluated as 67.2. Option A is correct.
Given that,
An expression is given 7.5 × 6.6 ÷ 0.6 − 15.3, we have to evaluate the given expression.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
= 7.5 × 6.6 ÷ 0.6 − 15.3
Simplify,
= 7.5 × 11 - 15.3
= 82.2 - 15.3
= 67.2
Thus, the required numerical expression is evaluated as 67.2. Option A is correct.
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Please help me, I need the answer asap
Find m<2
28
62
56
142
The given equation m<2 = 28⁰ so here in this case option A is correct .
What three characteristics do angles have?A transversal's corresponding angles are equal when it crosses two parallel lines.Angles that are vertically opposite are equal.All of the interior angles alternately are equal.Every other external angle is equivalent.On the same side of the transversal, the pair of internal angles is additional.Simplification:
<1 = <3
<1 = 5x + 8 ………………equation 1.
<3 = 12x – 20 ………………equation 2.
By angle property <1 = <3 [ given ]
and
<1 = <2 [ vertically opposite angles ]
We have some options so we can use it to get answer more quickly:
Put <1=28 and <3=28
And solve it for X.
28 = 5x + 8 Eq1
20=5x => x=4
28 = 12x - 20 Eq2
28 + 20 = 12x
48 = 12x
4 = x
X = 4
As <1 = <2 ( vertically opposite angles )
From the first equation <1 = <2 = 5x + 8 ......( equation 3)
Putting the value of x = 4 in (equation 3)
<2 = 5* 4+ 8
<2=28
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a certain insecticide kills 60% of all insects in laboratory experiments. a sample of 9 insects is exposed to the insecticide in a particular experiment. what is the probability that exactly one insect will die? round your answer to four decimal places.
The probability that exactly one insect will die is 142.611.
Define probability.The subject of a random event is covered in the mathematical field of probability. For instance, if a coin is flung into the air, it could land on its Head or Tail. Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) (S) E is the event, P is the probability, and S is the sample area.
Given,
P( an insect will die) = 0.60
q = 1 - p
q = 1 - 0.60
q = 0.40
Sample size,
n = 9
Binomial distribution:
P(X) = ⁿCₓ pˣ qⁿ⁻ˣ
Probability that exactly one insect will die = P(X = 1)
= ⁹C₁ × 0.6¹ × 0.4⁸
= 362880 × 0.6 × 0.000655
= 142.611
The probability that exactly one insect will die is 142.611.
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Linda has a shelf that is 56 over 5 inches wide. How many catalogs can Linda arrange on the shelf if each catalog is 4 over 5 of an inch thick?
Answer:
Last option: 31
Step-by-step explanation:
No. of catalogs that can be arranged
= (longest side of shelf ÷ longest side of catalog) × (shortest side of shelf ÷ shortest side of catalog)
= (56 ÷ 5) × (5 ÷ 4)
= 31
2
Previous
Rectangle A'B'C'D' is the image of rectangle ABCD after which of the following rotations?
C₁
B
D'
A'
y
B
00
>>
A
C
D
X
A 90° counter clockwise about the origin
B 180° rotation about the origin
c) 90° clockwise rotation about the origin
D) 45° counter clockwise rotation about origin
a) 90° counterclockwise about the origin
How can a rectangle be rotated?
A shape with rotational symmetry is a rectangle, for instance. When a rectangle is rotated around its center, the shape and placement remain unchanged. The placement of the specified points is the only distinction. Rectangles are of order 2 because they have half-turn symmetry.
When rectangle ABCD is rotated 90° counterclockwise about the origin , the vertex of 'A' in rectangle ABCD is (2,1) becomes (-1,2) in rectangle A'B'C'D'.
Therefore when rectangle ABCD is rotated we get rectangle A'B'C'D'.
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help meeeeeeeeeeeeeeeeee please
Answer:
t=0
Step-by-step explanation:
Your equation would be 324=-16t^2+324 since 370-46 is 324. subtract each side by 324 and you get 0=-16t^2. t=0
A prize is divided in the ratio
10: 1. If the difference
between the shares is £270
what is the larger share?
On a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.
Which line has no slope?
Line a
Line b
Line c
Line d
The line with no slope will be a horizontal line the correct option is line b.
What are lines and slopes?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that on a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.
The line with no slope will be line b because the line is a horizontal line.
Therefore, the line with no slope will be a horizontal line the correct option is line b.
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Answer:
C. Line C
Step-by-step explanation:
Edge 2023
How can you write the equation of the
line?
(: before the lady in the video shows
you :)
y 5x = 3
y = 3x - 5
y = -5x + 3
y + 3 = -5x
Scores for a common standardized college aptitude test
are normally distributed with a mean of 507 and a
standard deviation of 104. Randomly selected students
are given a Test Preparation Course before taking this
test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 student is randomly selected, find the probability
that their score is at least 555.3.
P(X> 555.3) =
The probability that their score is at least P(X> 555.3) = 0.8275
What is a normal distribution?
A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.
Here, we have
Let x denotes the score of a man.
standard deviation (σ) = 104
mean (μ) = 507
If 1 of the men is randomly selected, find the probability that his score is at least 553.5 will be :-
P(X > 553.5) = 1 - P(X ≤ x)
= 1 - P{((x - μ)/σ) ≤ (553.5 - 507/104)}
= 1 - P(z ≤ 0.447)
= 1 - 0.1725
= 0.8275
Hence, the probability that their score is at least P(X> 555.3) = 0.8275
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4-9×2^x+2+1=0. Please help me to solve the question please
Answer:
x=[tex]log_{2} 7/9[/tex]
Step-by-step explanation:
4-9×2^x+2+1=0
4-9×2^x+3=0
4+3-9×2^x=0
7-9×2^x=0
7-7-9×2^x=0-7
-9×2^x=-7
9×2^x=7
9×2^x/9=7/9
2^x=7/9
[tex]log_{2} 2^x[/tex]=[tex]log_{2} 7/9[/tex]
x=[tex]log_{2} 7/9[/tex]
2
5. A square bathroom with side length 8m
needs tiling. One pack of tiles covers 10m².
How many packs do I need?
Answer:
6.4 packs (7 as integer)
Step-by-step explanation:
Area of the square: 8^2 = 64 m^2
64 : 10 = 6.4
The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?
(–6, 0) and (–4, 0)
(–2, 0) and (–12, 0)
(4, 0) and (6, 0)
(12, 0) and (2, 0)
The x-intercepts of the quadratic function g(x) = x² - 10x + 24 are given as follows:
(4, 0) and (6, 0).
When does a function crosses the x-axis?A function crosses the x-axis when the numeric value of the function is of y = 0, hence these points are called the x-intercepts of the function.
In this problem, the definition of the function is given as follows:
g(x) = x² - 10x + 24.
This function can be simplified as follows:
g(x) = (x - 6)(x - 4).
Applying the inverse of the Factor Theorem, the x-intercepts are given as follows:
x - 6 = 0 -> x = 6.x - 4 = 0 -> x = 4.Hence the x-intercepts of the function are given by the third option, which is of (4, 0) and (6, 0).
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Answer: C
Step-by-step explanation: trust me
how do I solve this?
Answer:
7
Step-by-step explanation: -13(-1) + 36 + 42(-1)
Step 1: -13(-1)= 13
Step 2: 13 + 36= 49
Step 3: 49 + 42(-1)= 49 + (-42)= 7
Solution: 7
Plssss helpppp
Graduation rate is one measure used to compare
colleges in national publications. One such publication
compared semester tuition against graduation rate,
defined as the percentage of students who graduate
within four years.
4-Year Graduation Rate (%)
100
80
60
40
College Comparisons
10 15 20 25 30 35
Semester Tuition (Thousands of Dollars)
Which statement best explains the relationship
between the variables?
O Higher tuition causes students to graduate at
higher rates.
O Tuition does not appear to have an association
with graduation rate.
O More selective colleges tend to have higher tuition
but lower graduation rates.
O More selective colleges tend to have higher tuition
and higher graduation rates,
The tuition does not appear to have an association with graduation rate.
A scatter plot is a particular kind of plot or mathematical diagram that displays values for generally two variables for a collection of data. It uses Cartesian coordinates. A dot is used to symbolize each point on the scatter plot. It is used to demonstrate the link between the dots by illustrating how many of them would fall within the path of a straight line.
It is clear that there is no relation between tuition and graduation rate. Some selective colleges may have higher tuition and higher graduation rates but there may be some selective colleges with higher tuition but lower graduation rates.
Hence, the tuition does not appear to have an association with graduation rate. Option 2 is correct.
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Answer:
I think it's A- Higher tuition causes students to graduate at higher rates.
Step-by-step explanation:
tell me if I'm wrong... forgive me if i am
The scatterplot illustrates the relationship between two quantitative variables: the amount of an active ingredient in a medicine and the level of pain relief (on a scale of 1 to 10).
The relationship in the scatterplot is
weak
positive and linear.
positive and nonlinear.
negative and moderately strong.
The relationship in the scatterplot is positive and nonlinear.
We utilize correlation to assess the strength of a linear relationship between two numerical variables. The strength of a linear relationship is gauged by correlation.
What is scatterplot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. A statistical method known as correlation is used to assess the STRENGTH and DIRECTION of the link between two variables. Two identical-person scores are necessary for correlation. These scores are typically denoted by the letters X and Y.An association between two variables is called a correlation. A correlation coefficient, which is a numerical representation of the strength and direction of the relationship, can be used to quantify the amount of correlation, or relationship.To learn more about scatterplot refer to:
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Highest common factor of 32 , 48 and 72
Answer:
8
Step-by-step explanation:
4*8=32
6*8=48
9*8=72
They are all multiples of 8
Answer: 8
Step-by-step explanation: You can factor out 32, 48, and 72 by using prime factorization which is listing all of the PRIME factors for each number
32: 2 x 2 x 2 x 2 x 2
48: 3 x 2 x 2 x 2 x 2
72: 3 x 3 x 2 x 2 x 2
If you look at all the prime factors, 2 appears in every number 3 times, so you do 2x2x2 to get the final answer, which is 8.
Daquin finished 30% of his homework in 27 minutes. How many minutes will it take him to finish the rest of his homework?.
In 27 minutes, Daquin completed 30% of his schoolwork. He must therefore finish another 70% of her homework.
We must multiply both sides of the equation by 3 to see how long it takes Daquin to finish 10% of the homework. It takes her 9 minutes.
We simply need to multiply our time estimate by seven to determine how long it will take her to complete the remaining 70% of her homework.
9 minutes are required for 10% of the homework.
63 minutes are required to complete 70% of the homework.
% finished equals 30%
Duration: 27 minutes
70% of the homework is still to be done.
Time required for the remaining task is 70/30 divided by 27 is equal to 63 minutes.
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im struggling fr help me
9. (-1kw-1z-2)-3
- (-1)-³³₂
11, 9-648
h2
These are the questions here is the photo
Using the simplification of power, [tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}[/tex] and [tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}[/tex].
In the given question,
We have to simplify the given expression.
Before simplifying the expression we first learn that the negative power can be positive after changing their position from numerator to denominator.
We use the method of adding the power of expression to solve the expression.
(1) The given expression is [tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}[/tex].
We firstly simplifying the power after the bracket by multiplying the power to each variable.
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-\frac{1}{4})^{-3}(w^{-1})^{-3}(z^{-2})^{-3}[/tex]
Simplifying the expression.
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1)^{-3}(\frac{1}{4})^{-3}(w^{-3})(z^{6})[/tex]
Now we make the power positive by changing their position
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1){4}^{3}(w^{-3})(z^{6})[/tex]
Simplifying
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}[/tex]
(2) The given expression is [tex]\frac{g^{-6}h^8}{h^2}[/tex].
Simplifying the expression.
As we know that the power with same base get subtracted when they are in division.
So [tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{8-2}[/tex]
[tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}[/tex]
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a fence 4 feet tall runs parallel to a tall building at a distance of 4 feet from the building. what is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is 11.31 feet
Let L stand for the ladder's overall length.
Right angled triangle ΔAGB contains the following:
L² = h² +(x+4)²
( Since by using Pythagorean Theorem)
Triangles AGB and CDB also have similarities.
As a result, the corresponding sides' ratio is equal.
Hence, we have:
h/4 = (x+4)/x
h = 4(x+4)/x
As a result, when we enter the value of h in equation (1), we obtain:
L² = h² +(x+4)²
L² = (4(x+4)/x)² +(x+4)²
L² = (16(x+4)²/x²)+(x+4)²
L² = (x+4)²(16/x² + 1)
We now have to reduce L.
Therefore, we employ the differentiation method.
We distinguish in relation to x as follows:
L² = (x+4)²(16/x² + 1)
2L dL/dx =2(x+4)(16/x² + 1) + (x+4)² (-32/x³)
2L dL/dx =2(x+4){ (16/x² + 1) + (x+4) (-16/x³)
2L dL/dx =2(x+4){ (16/x² + 1 -16/x²-64/x³)
2L dL/dx =2(x+4){ (1-64/x³)
when the derivative is zero we have:
2(x+4){ (1-64/x³) = 0
x= -4 and x³ = 64 and x =∛64 = 4
But x can't be negative.
Hence, we have:
x = 4
After solving equation (2) with this value of x, we get the following result:
L² = (x+4)²(16/x² + 1)
L² = 128
L = 11.313 feet
Hence,
L = 11.313 feet
which on rounding to two decimal places is: 11.31 feet
As a result, the shortest ladder's length, measured from the ground to the building's wall over the fence, is 11.31 feet.
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Help me please image is attached I really appreciate it
An inequality to find the number of batches of rolls Liz can make is 13n/4 ≤ 26 and she cannot make more than 8 batches of rolls.
How to write and solve this inequality?In order to solve this word problem, we would assign a variable to the number of batches, and then translate the word problem into an algebraic inequality as follows:
Let the variable n represent the number of batches.
Since Liz has 26 tablespoons of yeast left in the jar and each batch of biscuits takes 3 1/4 -tablespoons, we have:
3 1/4 (n) ≤ 26
13n/4 ≤ 26
Cross-multiplying, we have:
13n ≤ 26 × 4
13n ≤ 104
n ≤ 104/13
n ≤ 8.
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Complete Question:
Liz wants to make several batches of biscuits. She has 26 tablespoons of yeast left in the jar and each batch of biscuits takes 3 1/4 -tablespoons. Write and solve an inequality to find the number of batches of rolls Liz can make.
if the population were not approximately normal, would the confidence interval constructed in part (a) be valid?
No, to construct a confidence interval, the population should be is approximately normal.
The information about distribution of population is important in order to find out the sampling distribution. When we want to construct confidence interval, the accuracy of results depend on three conditions.
1. The data needs to be randomly selected.
2. The sampling distribution needs to be normally distributed
3. The observations must be independent.
So one of the conditions is to ensure that the population is normally distributed.
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
n(1 - p) ≥ 10
When the population follows normal distribution then a small number of samples will be adequate, on the other hand, if the population is skewed then we need a greater sample size to ensure normal sampling distribution.
Therefore, the population is approximately normal before constructing a confidence interval.
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which of the following is a linear equation
The option that is a a linear equation is B. 4x - 2 = 20.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign
This is illustrated as 4x - 2 = 20
4x = 20 + 2
4x = 22
x = 22/4 = 5.5
This illustrates an equation.
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suppose you paid $4 for a bet on a horse and, as a result, you will win $110 if your horse wins a given race. find the expected value of the bet (in $) if the odds that the horse will win are 3 to 12.
The expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
What is expected value?
Expected value is the predictive value of all the possibilities that occur by multiplying the value by the probability.
Winning probability = odds / total outcomes
= 3 / (3 + 12)
= 3 / 15
= 0.2
Now, we need to calculate expected value.
= winning probability x amount won - losing probability x amount lost
= 0.2 x 110 - (1 - 0.2) x 4
= 22 - 3.2
= 18.8
Thus, the expected value of the bet if the odds that the horse will win are 3 to 12 is $18.8
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Find x
35°
100°
X
algebra 1
Answer:
X would be 135 degrees
Step-by-step explanation:
35 is a vertical angle
180-(100+35) = 45
By supplements, 180-45 = 135 which would be your answer
hope this helps
the value o f x is 135, it mean x=135°
which expression is equivanlent to -18 - 5
Answer:
-18 + -5
Step-by-step explanation:
Because -18 - 5 is an inverse equation, that means that we are doing one equation that looks like something it usually doesn't. When subtracting a negative and a positive in that order, the result will be the sign of the greater value(-18), so the result will be negative. Subtracting a big number that's a negative by a smaller number that's a positive is the same as adding the same numbers together as if they are both negatives. E.g, -4 - 2 = -4 + -2.
Hope this helps!
Select the correct answer.
What is the y-intercept of function f?
find the slope of (-4,-4), (-1, 14)
Answer:
6
Step-by-step explanation:
slope = m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
put values and find answer:
[tex]=\frac{14+4}{-1+4}[/tex]
= [tex]\frac{18}{3}[/tex]
= [tex]6[/tex]