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lisabon 2012 [21]
3 years ago
8

A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

actually different from the reported percentage. A random sample of 190 found that 41% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
Mathematics
1 answer:
mariarad [96]3 years ago
6 0

Answer:

-1.00

Step-by-step explanation:

Given that a  publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

Sample size n =190

Sample proportion p = 0.41

H_0: p = 0.45\\H_a: p \neq 0.45

(Two tailed test )

Assuming H0 to be true

std error = \sqrt{pq/n} =\sqrt{0.45*0.55/155} \\=0.0400

p difference = -0.04

Test statistic = p differencce/std error

= -1

Hence test statistic is -1.00

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Answer:

x = 3 and 7

There are two true solutions.

Step-by-step explanation:

To solve x-7 = \sqrt{-4x+28}, use inverse operations by squaring both sides of the equal sign.

(x-7)^2 = (\sqrt{-4x+28})^2\\x^2-14x+49 = -4x+28\\x^2-14x+4x+49-28 = 0\\x^2-10x+21=0

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.

(x - 3) ( x - 7) = 0

x-3 = 0 so x=3

x-7 = 0 so x=7

Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

7-7 = \sqrt{-4(7)+28}\\ 0=0

and

3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4[/tex]

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Does the greater than or less than
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Use the scatter plot of car resale values to answer the following question
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What is the slope of the line passing through (1, 2) and (3, 3)?
enot [183]

Answer:

Slope is 1/2

Step-by-step explanation:

Using the slope formula y₂-y₁/x₂-x₁

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So...

3-2=1

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8 0
2 years ago
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age
Vladimir [108]
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
</span>
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