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Alekssandra [29.7K]

3 years ago

10

The after school craft center has 15 boxes of 64 crayons each. In 12 of the boxes , 28 of the crayons have not been used. All th

e rest have been used how many of the crayons in the center have been used?

1 answer:

netineya [11]3 years ago

8 0

You are going to do 64-28=36

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Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level.

victus00 [196]

Answer:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

$\hat p=\frac{87}{225}=0.3867$ estimated proportion of households with incomes below the poverty level

$p_o=0.32$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic is given bY:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.3867 -0.32}{\sqrt{\frac{0.32(1-0.32)}{225}}}=2.145$

For a bilateral test the p value would be:

$p_v =2*P(z>2.145)=0.0320$

4 0

4 years ago

The graph of a rational function f is shown below.

Mashutka [201]

We have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.

<h3>What is a graph?</h3>

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The y-intercept of a function is determined by the intersection of its graph with the y-axis. The value of y on the y-axis at which the considered function crosses it is called the y-intercept.

Assume the following equation: y = f (x)

We have x =0- 2 and y+2 = 0,The x and y intercept of the given function is -2 and +2.

The vertical asymptote is none. The horizontal asymptote is 2.

Hence,we have y+2 = 0 and x - 2 = 0. The provided function has an x and y-intercept of -2 and +2, respectively. There is no vertical asymptote. Two is the horizontal asymptote.

To learn more about the graph, refer to the link;

brainly.com/question/14375099

#SPJ1

4 0

2 years ago

Someone help me please

Studentka2010 [4]

Step-by-step explanation:

The slope of the line passing through two points is given by,

$\frac{y2 - y1}{x2 - x1}$

13)

$\frac{(0 - y)}{(0 - 2)} = (\frac{ - 3}{2} )$

$\frac{ - y}{ - 2} = \frac{ - 3}{2}$

$y = - 3$

option D

14)

$\frac{ ( - 3 - y)}{(1 + 5)} = \frac{ - 1}{6}$

$\frac{ - 3 - y}{6} = \frac{ - 1}{6}$

$- 3 - y = - 1$

$- y = - 1 + 3 = 2$

$y = - 2$

option C

15)

$\frac{(y - 4)}{( - 5 + 1)} = \frac{1}{4}$

$\frac{y - 4}{ - 4} = \frac{1}{4}$

$- y + 4 = 1$

$- y = 1 - 4 = - 3$

$y = 3$

option B

16)

$\frac{(y + 3)}{( - 4 - 3)} = \frac{ - 3}{7}$

$- (y + 3) = - 3$

$y = 3 - 3 = 0$

option C

4 0

3 years ago

The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:

Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0

3 years ago

The coordinates of the intersection of two lines on a graph represent the values of__ and __ when you solve the system of equati

Neko [114]

Answer:

The coordinates of the intersection of two lines on a graph represent the values of <u>x</u> and <u>y</u> when you solve the system of equation.

Step-by-step explanation:

4 0

3 years ago