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Bond [772]
3 years ago
10

Rebecca gets a part time job in order to pay for her cheerleading uniform. her employer tells her that she will be earning $7.25

per hour and they promised her at least 34 hour workdays per week. what is the minimum amount of money she will gross in eight weeks?
Mathematics
1 answer:
qwelly [4]3 years ago
4 0

<u>Answer:</u>

$1972

<u>Step-by-step explanation:</u>

We are given that Rebecca will earn $7.25 per hour for her job and she is promised to have 34 hour workdays per week.

We are to find the minimum amount of money she will gross in eight weeks.

Number of hours of work in 8 weeks = 34 \times 8 = 272 hours

Minimum amount of money she will earn in 8 weeks = 272 \times 7.25 = $1972

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What is the area of a triangle h=5 b=6
soldi70 [24.7K]

Answer:

The answer is 15

Step-by-step explanation:

area of triangle is half * base * height

So 1/2*5*6 is 15

6 0
2 years ago
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A car dealership has 24ft of dividers with which to enclose a rectangular play sace
alina1380 [7]

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

6 0
3 years ago
Any number is divisible by 2 is also divisible by 6 find a counter example to show that conjecture is false
likoan [24]

Answer:

  2

Step-by-step explanation:

  To be divisible by 6, an even number must also be divisible by 3. Two of every three even numbers are <em>not</em> divisible by 3, so are not divisible by 6.

5 0
2 years ago
Write this expression in a different way. 2x-438
yaroslaw [1]
2x-438 = -438+2x= 2(x-219)
3 0
3 years ago
Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop
nlexa [21]

Answer:

The value of the test statistic is z = 1.78

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8

Sample 2:

\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Distribution of the difference:

X = \mu_1 - \mu_2 = 110 - 108 = 2

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226

What is the value of the test statistic?

z = \frac{X - \mu}{s}

z = \frac{2 - 0}{1.1226}

z = 1.78

The value of the test statistic is z = 1.78

5 0
3 years ago
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