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GaryK [48]
2 years ago
15

100 pts help me please.

Mathematics
1 answer:
Natalija [7]2 years ago
7 0

<u>Answer:</u>

  • Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.

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

We know that:

  • 48 + 8(b) = Carly's expenditure
  • 10(b) = Carly's expenditure
  • 48 + 8b = 10b
  • B = Boxes of cards

<u>Work:</u>

  • 48 + 8b = 10b
  • => 48 + 8b - 8b = 10b - 8b
  • => 48 = 2b
  • => b = 24

<u>Now, let's substitute the value of b into any equation.</u>

  • 10(24)
  • => 240

<u>Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.</u>

Hoped this helped.

BrainiacUser1357

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nikitadnepr [17]

Answer:

z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105  

p_v =P(z>2.105)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .  

Step-by-step explanation:

1) Data given and notation  

n=200 represent the random sample taken

X=80 represent the number of students that had jobs

\hat p=\frac{80}{200}=0.4 estimated proportion of students that had jobs

p_o=0.3333 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of students that have jobs at the school mentioned is higher than the reported value at the article:  

Null hypothesis: p\leq 0.33  

Alternative hypothesis:p > 0.33  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.105)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .  

7 0
3 years ago
Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?
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3 years ago
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5.
Sphinxa [80]

Answer:

1961

Step-by-step explanation:

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PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by
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Answer:

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Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

A = x\cdot y (1)

Where:

A - Area, measured in square feet.

x - Length, measured in feet.

y - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

A' = 2\cdot A (2)

By applying (1) in (2), we get the following expression:

A' = 2\cdot x\cdot y (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y

A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y) (3b)

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x' = \sqrt{2}\cdot x

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x' \approx 18.4\,ft

y' = \sqrt{2}\cdot y

y' = \sqrt{2}\cdot (15\,ft)

y' \approx 21.2\,ft

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

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2 years ago
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Troyanec [42]
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Multiply both sides by 2: b=12
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7 0
3 years ago
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