your class has 30 students . if 1/3 of them walk to school , how many students in your class walk to school ?

Answer:

Slope and Width

If it's too flat, drainage may become an issue, and if it's too steep, the surface becomes slippery and dangerous. As a general rule, a driveway should be less than a 15% grade, which means that it should not rise more than 15 feet over a distance of 100 feet.

Step-by-step explanation:

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Answer:

If the second person's pay is 891, then the 5th should be 1002.

The value of y is given as follows:

y = 23.

Hence the angle measures are given as follows:

69º, 23º and 88º.

The sum of the measures of the internal angles of a triangle is of 180º.

The internal angles for the triangle in this problem have the measures given as follows:

Hence the value of y is obtained as follows:

3y + y + 4y - 4 = 180

8y = 184

y = 184/8

y = 23.

Hence the angle measures are given as follows:

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The probability that a student makes more than 7 mistakes on the exam is 0.39.

In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. T

Now, let X be the number of mistakes a student makes on the exam. Then, the X follows a binomial distribution with n=16 and some unknown probability of success p (i.e., the probability of answering a question correctly).

We know that P(X<5) = 0.47 and P(5<=X<=7) = 0.14. Using the complement rule, we can find P(X>7) as follows:

P(X>7) = 1 - P(X<=7)

= 1 - P(X<5) - P(5<=X<=7)

= 1 - 0.47 - 0.14

= 0.39. Therefore, the probability that a student makes more than 7 mistakes on the exam is 0.39.

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The law of conservation of energy and momentum can be used to construct the equation that connects the initial release height of block x (hx) and the speed of the two-block system following the collision (v s).

Block x's initial kinetic energy (0.5 * m x * v x2) and potential energy (m x * g * hx) are both equal to the total kinetic energy of both blocks after the collision (0.5 * (m x + m y) * v s).

Combining everything, we get the following equation:

m x * g * hx + 0.5 * m x * v x2 = 0.5 * (m x + m y) * v s2.

where g is the acceleration brought on by gravity, v x is the starting speed of block x, and m x and m y are the masses of blocks x and y.

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Answer:

mean= 88.2

median= 89

mode= 3

range= 10

Step-by-Step Explanation:

mean=

\(mean = \frac{sum \: of \: values}{total \: number \: of \: values} \)

\(mean = \frac{82 + 89 + 92 + 89 + 89}{5} = \frac{441}{5} = 88.2\)

\(median = the \: values that \: lies \: in \: the \: middle \: of \: data\)

\(median = 89\)

\(mode = occurs \: most \: frequently \: in \: the \: data\)

\(mode = 3\)

\(range = higher \: value - lowest

\: value\)

\(range = 92 - 82 = 10\)

Answer:

Graph A

Step-by-step explanation:

the equations is y = 3x/4 - 3

the slope is 3/4

the y intercept is -3

and the x intercept is:

3x/4 - 3 = 0

3x/4 = 3

x = 4

Graph A matches the equation.

40 trading cards

baseball cards

10 baseball cards

football cards

4 football cards

basketball cards

40- 10-4 =26

how many more basketball cards than baseball are there ​?

basketball cards - baseball cards = 26-10 = 16

there are 16 cards more basketball cards than baseball cards

a. The median of Otter 2 's data is greater than the median of Otter 1's data. b. The variability in the data for Otter 1 is greater than the variability in the data for Otter 2.

c. Liz can conclude that Otter 2 generaily eats more food.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.

The median is the value in the middle of a data set, meaning that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median.

The median for A is 25.5 and 26 for B. This implies that B has higher median than A.

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Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

An equation is a statement of equality between two expressions consisting of variables, numbers and arithmetic operations.

Step-by-step explanation:

The equation 8x = 8(x - 1)+1 can be simplified as

8x=8x-8+1

0=-7( absurd)

This equation does not have any solution.

The equation 2x-5 = 2(x - 5) can be simplified as

2x-5=2x-10

-5=-10(absurd)

This equation does not have any solution.

The equation 22-6x = 2(3x - 11) can be simplified as

22-6x=6x-22

-6x-6x=-22-22

-12x=-44

x=44/12=11/3

This equation has only one solution.

The equation 3(5x - 4) - 8x = 7x -12 can be simplified as

15x-12-8x=7x-12

7x-12=7x-12

0=0, is an identity

This equation has infinite number of solutions.

Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

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Answer:

Step-by-step explanation:

Find the slope of the line that goes through (0, 8) and (2, 0):

Parallel lines have equal slopes.

Looking at the choices we see only one of them has the slope of  -4:

Slope

Parallel lines have equal slopes

So

Option B is correct

Answer:

5:05 pm

Step-by-step explanation:

According to the Question,

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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The maximum and minimum measurements are 5 and -3 respectively.

f ( x ) = -x^3 +3x^2+ 45 x + 10

f' l x ) = 0

0 = - 3x^2 +6x +45

x = 5,- 3.

f ( 4 ) = - ( 4 )^3+ 3( 4 )^ 2 + 45 ( 4 ) + 10 = 174

f ( - 4 ) = - ( - 4 )^3 + 3( - 4 )^2 + 45(- 4) + 10 = - 58

f ( - 3 ) = -(- 3 )^3 + 3 ( - 3)^2 + 45 (- 3) + 10 = - 7 1

+ ( 5 ) = -(5)^3 + 3(5 )^2 +45(5)+ 10 = 185

Absolute maximum = maxis{ f(4 ),f(5),f(-4),f( - 3 )}

                        = 185 at x=5

Absolute mininum=minis{f(4 ),f(5),f(-4),f( - 3 )}

                      = - 71 at x= -3

In light of this, the maximum and minimum values are 5 and -3, respectively.

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Frequency means how often a number or something appears.

so,

2

4

3

5

Answer:

output for 2.35 is 13.4

output for 42 is 172

Step-by-step explanation:

This is quite simple really. You just add 1 to the number in the input box, then multiply that number by 4. For example: 42 + 1 = 43,  43 * 4 = 172.

The ratio of the circumferences of the bases of the two cylinders is; 25

Formula for lateral surface area of a cylinder is;

LSA = 2πrh

Thus,for first cylinder;

2πrh = 6π

Thus;

rh = 3 - - - - (eq 1)

Similarly;

2πr2h = 150π

r2h = 75 - - - (eq 2)

Divide eq 2 by eq 1 to get;

r2/r = 75/3

r2/r = 25

r2 = 25r

Thus;

Circumference of base of bigger cylinder = 2π(25r) = 50πr

Circumference of smaller cylinder = 2πr

Thus;

Ratio = 50πr/2πr

Ratio = 25

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Answer:

Scale Factor is 8.

(8x,8y) should be the algebretic representation

The standard matrix of T is:\($$\boxed{\begin{pmatrix}-1&0\\0&-1\end{pmatrix}}$$\)

Let's find the standard matrix of the linear transformation T that rotates points (about the origin) through -π radians. The standard matrix of a linear transformation is given by the images of the basis vectors i and j of the domain under the transformation.

we will start by considering the transformation of these two basis vectors:\($$\begin{aligned} T(\begin{pmatrix}1\\0\end{pmatrix})&=\begin{pmatrix}\cos(-\pi)&-\sin(-\pi)\\\sin(-\pi)&\cos(-\pi)\end{pmatrix}\begin{pmatrix}1\\0\end{pmatrix}=\begin{pmatrix}-1\\0\end{pmatrix}\\T(\begin{pmatrix}0\\1\end{pmatrix})&=\begin{pmatrix}\cos(-\pi)&-\sin(-\pi)\\\sin(-\pi)&\cos(-\pi)\end{pmatrix}\begin{pmatrix}0\\1\end{pmatrix}=\begin{pmatrix}0\\-1\end{pmatrix}\end{aligned}$$\)

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The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer: x=2

Step-by-step explanation:

1/2(40x-16)=32

20x - 8 = 32

Add 8 on both sides

20x = 40

Divided both sides by 20

x = 2

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Total number of houses use hotspot is 18 houses

Step-by-step explanation:

Given that;

Number of total houses = 35

AT&T providers Internet service = \(\frac{1}{5}\) of total house

Spectrum providers Internet service = \(\frac{2}{7}\) of total house

Find:

Total number of houses use hotspot

Computation:

Number of houses AT&T providers Internet service = \(35 \times \frac{1}{5}\)

Number of houses AT&T providers Internet service = 7

Number of houses Spectrum providers Internet service = \(35 \times \frac{2}{7}\)

Number of houses Spectrum providers Internet service = 10

Total number of houses use hotspot = 35 - 7 - 10

Total number of houses use hotspot = 18 houses

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Answer:

We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that

A+B=153.

But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So

5.5A+4.3B = 756.30

Now we have two equations:

A+B = 153

5.5A + 4.3B = 756.30

We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have

A+B = 153

550A + 430 B = 75630

Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have

550A + 550B = 84150

550A + 430B = 75630

Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain

120B = 8520

Now divide by 120 into both sides to solve for B, we get

B= 8520/120 = 71

So Pablo used 71lbs of blend B.

Step-by-step explanation:

Hope this helps you!!!!! :D

Answer:

ok

Step-by-step explanation:

I am ready noah for your survey :)

This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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