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Montano1993 [528]
3 years ago
13

A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that t

he percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer and explanation:

Null hypothesis: p is not 54%

Alternative hypothesis : p is equal 54%

First find standard deviation

Standard deviation is:

σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033

The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121

Therefore we can conclude that proportions are not same and fail to reject the null hypothesis

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Use similar triangles ABC and XYZ to find the missing height h. around to the nearest tenth if necessary.
Kamila [148]

Answer:

Therefore,

The height is 23.3 ft.

Step-by-step explanation:

Given:

ΔABC ~ ΔXYZ

AC = 108.5 ft

BC = h

XZ = 14 ft

YZ = 3ft

To Find:

h = ?

Solution:

Δ ABC ~ Δ XYZ….Given  

If two triangles are similar then their sides are in proportion.  

\dfrac{AB}{XY} =\dfrac{BC}{YZ}=\dfrac{AC}{XZ} \textrm{corresponding sides of similar triangles are in proportion}\\  

Substituting the values we get

\dfrac{BC}{YZ}=\dfrac{AC}{XZ}

\dfrac{h}{3}=\dfrac{108.5}{14}\\\\h=\dfrac{325.5}{14}=23.25=23.3(nearest tenth)

Therefore,

The height is 23.3 ft.

3 0
3 years ago
Evaluate each expression for t = 0, x = 1.5, y = 6, and z = 23
My name is Ann [436]

Answer:

1. 11

2. 20

3. 34

4. 12.6

5. 18

6. 105

Step-by-step explanation:

We are told that ---> t = 0, x = 1.5, y = 6, and z = 23

1. y + 5

= 6 + 5

= 11

2. z - 2x

= 23 - 2(1.5)

= 23 - 3

= 20

3. 2z - 2y

= 2(23) - 2(6)

= 46 - 12

= 34

4. 2.6y - 2x

= 2.6(6) - 2(1.5)

= 15.6 - 3

= 12.6

5. 4(y - x)

= 4(6 -  1.5)

= 24 - 6

= 18

6. 4(2 + z) + 5

= 4(2 + 23) + 5

= 8 + 92 + 5

= 105

3 0
2 years ago
Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) .
-Dominant- [34]
Length = √(y2-y1)² + (x2-x1)²
l = √(5 - 5)² + (9 + 2)²
l = √0² + 11²
l = √121
l = 11

In short, Your Answer would be 11 units

Hope this helps!
3 0
3 years ago
Read 2 more answers
I need help with 8,9,10,11,12,13,14
JulijaS [17]
Multiply the coefficient with all the values inside the parenthesi next to them. Then add the values.
8 0
3 years ago
Please help!<br> look at the photo
slavikrds [6]
36 i did this lol trying to make this longer so lol
6 0
3 years ago
Read 2 more answers
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