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Dima020 [189]
2 years ago
9

Shane needs a total of $305 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks

will Shane have to deliver papers to have enough money to buy the bicycle?
Mathematics
2 answers:
Tju [1.3M]2 years ago
7 0

Answer:

He will work for 18 weeks.

Step-by-step explanation:

elixir [45]2 years ago
4 0

Answer: 18 or w=18

Step-by-step explanation:

35+(15w)=305

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Make both statements true<br>1. {y=x+13<br> {xy=30<br>2. {2l+2w=38<br> {l×w=78
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12345678  M's in my bank account
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3 years ago
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees ba
blsea [12.9K]

Answer:

The test statistic is z = -2.11.

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.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

H_0: \mu_1 - \mu_2 = 0

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

H_1: \mu_1 - \mu_2 \neq 0

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

From the two samples:

X = \mu_1 - \mu_2 = 1276 - 1439 = -163

s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144

Test statistic:

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

z = \frac{-163 - 0}{77.3144}

z = -2.11

The test statistic is z = -2.11.

7 0
3 years ago
Please answer this (question on image enclosed)
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Answer:

its 900

Step-by-step explanation:

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3 years ago
The ratio of boys to girls in the gym class at a local middle school is 3:2. what percent of the gym class is girls
sukhopar [10]
3 boys for every 2 girls
So, the percentage of girls is (2 / 5) x 100 = 40%


5 0
3 years ago
How many cups in a gallon
Bogdan [553]
1 gallon = 16 cups

Hope it helps you.
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3 years ago
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