which of the following represents a constant from the expression given?
15x^2+2x+9​

Answer:

Step-by-step explanation:

The probability of landing on an orange is 1/8 because there is 1 orange section out of 8 total sections. This probability is .125 or 12.5%. The probability of NOT landing on an orange is found by subtracting the probability of landing on orange from 1:\

1 - .125 = .875 or 87.5%

Answer:

D

Step-by-step explanation:

(d) all of the above. All of the statements listed are true about functions. A function is a set of points (x,y) such that every x-value has one y-value (for every input there is one output). This means that for each value of x, there is only one corresponding value of y. Functions can also be represented as an equation in terms of x and y, and when graphed, they pass the vertical line test, which means that if a vertical line is drawn on the graph and it intersects the graph in more than one point, the graph is not a function.

Answer: D

Step-by-step explanation:

If every X value has only 1 Y value then it will pass the vertical line test so that checks out both a and b

c- we can represent all functions in terms of x and y

Answer: y=7

Step-by-step explanation:

Slope intercept form

y=mx+b

m=slope

b= y-intercept

find the slope with the slope formula

y2-y1/x2-x1

7-7/6-(-1)

0/7

the slope is 0, meaning this is a horizontal line.

Find the y-intercept

7=0(-1)+b

b=7

y=7

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

\(\frac{5}{9}\) × \(\frac{3}{4}\) = \(\frac{15}{36}\)

HCF of 15,36 = 3

\(\frac{15}{36}\) ÷ \(\frac{3}{3}\) = \(\frac{5}{12}\)

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Answer:

x = 5

Step-by-step explanation:

11x - 6x = 4 + 21

5x = 25 (÷5)

x = 5

Answer:

£2.50

Step-by-step explanation:

15÷3=5 so

£7.50÷3=£2.50

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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The normal distribution has only positive values. Option A is the correct answer.

The normal distribution is a continuous probability distribution that is symmetric around the mean, and its values are only positive. The other distributions listed, such as the chi-square, f, and t distributions, are all skewed and have values that can be negative or positive. The z-distribution is similar to the normal distribution but has a mean of 0 and a standard deviation of 1, and thus can also have negative values. Therefore, the only distribution that has only positive values is the normal distribution, making option A the correct answer.

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Answer:

50

Step-by-step explanation:

Formula: 1rad × 180/π = 57.296°

The correlation coefficient between the student's height and the distance they were able to jump is -1.13.

To compute the correlation coefficient (r) between the person's height and the distance they were able to jump, we need to use the given formula:

\(r = \sum (xi - \bar x)(yi -\bar y) / \sqrt{(\sum (xi - \bar x)^2 * \sum (yi -\bar y)^2)\)

Where:

In our case,

\(\bar x\) = 64.44

\(\bar y = 6.06\)

Square the differences and sum them:

\(\sum ((xi -\bar x)^2) =307.84\\\\\sum ((yi -\bar y )^2) = 2.7224\)

Calculate the correlation coefficient using the formula:

\(r = -32.63 / \sqrt{(307.84 * 2.7224)}\\\\r = -32.63 / \sqrt{838.74158}\\\\\r = -32.63 / 28.96\\\\r = -1.128\)

Therefore, the correlation coefficient (r) for the linear fit between height and jump distance is approximately -1.13.

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We cannot conclude that the standard deviation of the professor's students is significantly lower than the standard deviation for sociology students across campus.

The test statistic is calculated using the formula:

t = (s1^2 - s2^2) / [sqrt((s1^2/n1) + (s2^2/n2))]

where s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, and the data is assumed to be normally distributed.

In this case, s1 = 15.3%, s2 = 13.2%, n1 = 20, and n2 is not given. The critical value can be found using a t-distribution table with degrees of freedom equal to n1 + n2 - 2 and alpha level of 0.05.

Assuming a two-tailed test, the critical values for a sample size of 20 and degrees of freedom of 38 (20+18-2) are -2.0244 and 2.0244.

The calculated test statistic is t = (15.3^2 - 13.2^2) / [sqrt((15.3^2/20) + (13.2^2/n2))] = 1.70.

Since the calculated test statistic of 1.70 is less than the critical value of 2.0244, we fail to reject the null hypothesis.

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Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

Answer:

Yep

Step-by-step explanation:

You're correct, Well done!

Answer:

Yes that is correct!

Step-by-step explanation:

(38 x 25)/100 = $9.50

38 - 9.50 = $28.50

Answer:

25.04

Step-by-step explanation:

26.12-1.08

=25.04

Answer:

25.04

Step-by-step explanation:

For this problem we have to use subtraction

If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time

So we get 25.04

Hope this helps! :D

Answer:

Please see detailed explanation below.

Step-by-step explanation:

1.  The slope of the best-fit line tells us how the dependent variable (y) changes for every 1 unit increase in the independent (x) variable, on average.

The slope of a line is a value that describes the rate of change between the independent and dependent variables. The slope tells us how the dependent variable (y) changes for every 1-unit increase (or decrease) in the independent (x) variable, on average.

In the given problem, what the slope represents is that the monthly heating bill decreases by 2.2 for every increase in average temperature. This makes sense because as the temperature rises, the monthly cost for the heating bill should decrease because you don't need as much heating when the average temperatures are higher.  

2. The national weather service estimates that the average temperature for next month will be 55 degrees. Estimate the monthly heating bill for this month. Is this estimate reasonable? Explain your reasoning.

Since the national weather service estimates that the average temperature for next month will be 55°F, then we can plug this value in the given equation:

y = -2.2x + 210  

y = -2.2(55°) + 210

y = -121 + 210

y = 89

Therefore, the predicted heating bill for next month will be $89.  

The estimate seems reasonable because 55°F is within the domain of the observed x values in the data. Also, in looking at the plotted points on the scatter plot. there is a point where it is close to what we solved here in question #2 (55°F, $89).  

3. What is the y-intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain your reasoning

The y -intercept is the point where the graph crosses the y -axis (it is the value of y when x = 0). The y-intercept of the given model is 210. This represents the flat heating fee or cost for a month when the average temperature is 0°F. In the context of the given problem, I think that a y-intercept value of 210 is quite reasonable because households use more heating in colder temperatures, let alone when the average temperature is 0°F.  

Answer:

5.77in

Step-by-step explanation:

A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in

Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in

Answer:

0

Step-by-step explanation:

-3y(2y+5)=0

-6y+15y=0

9y=0

y=0÷9

y=0

Answer:

y=0

Step-by-step explanation:

Answer:

(A).

Step-by-step explanation:

yo my boy look at the problem first because that was so easy

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

subtract 2x from both side

change the sign of both side of equation

rewrite

Solve for x

substitute the value of y in the equation

distribute 3

combine like terms

Add 33 on both side

divide both side by 7

Answer:-4/5

Step-by-step explanation:

(3,3)

(-2,-1)

Y2-y1/x2-x1

3- (-1)/ -2 -3

4/-5

Answer:

4 over 5 (4/5)

Step-by-step explanation:

Its extremely simple. You need to start from the lower point, and count up until you get to the same lime as the other point. Starting from the lower point, you count up 4 to get on the same line. Then, since its on the right, you count to the right 5, till you get to the dot, and you get 4/5. All you have to do is just count

Answer:

126 square inches of wrapping paper

Step-by-step explanation:

To compute for the minimum amount of wrapping paper Dylan will need to completely cover the box, you have to compute the surface area of the box. The formula in getting the surface area of a rectangle is:

A = 2WL + 2LH + 2HW

Substituting the given measurements to the formula:

A = 2(5)(6) + 2(6)(3) + 2(3)(5)

A = 60 + 36 + 30

A = 126 square inches

Therefore, Dylan needs to purchase at least 126 square inches of wrapping paper to completely cover the box.

Answer:

Step-by-step explanation:

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

\(P(x) = x^4 - 2x^3 - x+2\)

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

\(P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0\)

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

In theory, Option D. All of these stages occurs at prisoner classification.

Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.

Prisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:

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Answer:

3

Step-by-step explanation:

3.34in is ans and after rounding off we can get 3

The volume formula for this problem are given as follows:

The volume of a cone with radius r and height h is given as follows:

V = πr²h/3.

The volume of a square prism of side length s is given by the multiplication of the side length squared by the height, as follows:

V = s²h.

For the square pyramid, we have that the height is one third of the prism, hence:

V = s²h/3.

The volume of the cylinder is three times the volume of the cone, hence:

V = πr²h.

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Histograms are used for demonstrating the frequency distribution of a set of data

A histogram is described as the display of statistical information that shows the frequency of data in successive numerical intervals of same size.

The independent variable is plotted on the horizontal axis while the dependent variable is plotted on the vertical axis.

The uses of a histogram include;

Hence, histograms are used for displaying statistical data.

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