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harina [27]
3 years ago
15

A certain television station has been providing live coverage of a particularly sensational criminal trial. The station's progra

m director wishes to know whether more than half the potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. Let p represent the proportion of all viewers who prefer regular daytime programming. What hypotheses should the program director test to answer the question of interest
Mathematics
1 answer:
Semenov [28]3 years ago
3 0

Answer:

H0 : p = 0.5

H1 : p > 0.5

Step-by-step explanation:

The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is

Since, p is the proportion who prefer the regular day time program;

The hypothesis to test is :

If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.

The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.

The null ;

H0 : μ = 0.5

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If point A is located at (-3,-1) and there are 10 points between A and B, what could be the possible coordinates for point B?
Nataly [62]

Answer:

Step-by-step explanation:

By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down .

1. MOVING TO THE RIGHT:

From point A, move 11 units horizontally to the right to come to point B:

(-3+11, -1) = (8, -1)

2. MOVING TO THE LEFT:

From point A, move 11 units horizontally to the left to come to point B:

(-3-11, -1) = (-14, -1)

3. MOVING UPWARD:

From point A, move 11 units vertically upward to come to point B:

(-3, -1+11) = (-3, 10)

4. MOVING DOWNWARD:

From point A, move 11 units vertically downward to come to point B:

(-3, -1-11) = (-3, -12)

So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards  in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.

7 0
4 years ago
When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to
Korvikt [17]

Answer:

Part a) The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

Part b) The scale factor is 1.5

Part c) The constant of proportionally for this relationship is 1.5

Part d) The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

Let

x ----> the quantity of cups of milk

y ----> the quantity of tablespoons of chocolate syrup

k ---> the constant of proportionality

For y=3, x=2 -----> k=\frac{y}{x}=\frac{3}{2}=1.5

For y=12, x=8 -----> k=\frac{y}{x}=\frac{12}{8}=1.5

For y=3/2, x=1 -----> k=\frac{y}{x}=\frac{(3/2)}{1}=1.5

For y=15, x=10 -----> k=\frac{y}{x}=\frac{15}{10}=1.5

therefore

The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

The linear equation is

y=1.5x

That means----> The the quantity of tablespoons of chocolate syrup is 1.5 times the quantity of cups of milk

The scale factor is equal to the ratio between tablespoons of chocolate syrup and cups of milk. Is equal to the constant of proportionality k

The scale factor is 1.5

The constant of proportionality is 1.5

The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

\frac{tablespoons\ of\ chocolate\ syrup}{cups\ of\ milk}

3 0
3 years ago
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