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REY [17]
3 years ago
14

HELP PLEASE

Mathematics
2 answers:
deff fn [24]3 years ago
8 0

Answer:

$11.50

Step-by-step explanation:

Percentage Increase=(Final Value−Starting Value/Starting Value)×100

so its x-7.50/7.50 = 50%

rearranging this it the original price will equal $11.25

Hope this helps!

Vedmedyk [2.9K]3 years ago
4 0

Answer:

11.25

Step-by-step explanation:

Theres your answer

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Answer:

29 cookies

Step-by-step explanation:

x=9,2x=18,3x+2=3(9)+2=29

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3 years ago
1. Write an equation for two numbers that are 3 units away from 0?
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Answer:

|3| and |-3|

Step-by-step explanation:

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3 years ago
Find the coordinates of the center of the given circle. (x - 5)2 + (y + 3)2 = 25 (5, 3) (5, -3) (-5, 3)
Stella [2.4K]

When you write the equation of a circle in the form

(x-x_0)^2+(y-y_0)^2=r^2

Then the center has coordinates (x_0, y_0) and the radius is r

So, in your case, the center is (5,-3) and the radius is 5.

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4 years ago
A well-known brokerage firm executive claimed that at least 41 % of investors are currently confident of meeting their investmen
atroni [7]

Answer:

z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229

Step-by-step explanation:

1) Data given and notation n  

n=88 represent the random sample taken

X=35 represent the adults that said they are confident of meeting their goals

\hat p=\frac{35}{88}=0.398 estimated proportion of adults that said they are confident of meeting their goals

p_o=0.41 is the value that we want to test

\alpha represent the significance level

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 that at least 41 % of investors are currently confident of meeting their investment goals.:

Null hypothesis:p=0.41  

Alternative hypothesis:p < 0.41  

When we conduct a proportion test we need to use the z statisitc, 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{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This methos 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 is not provided, but we can assume \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a unilateral test the p value would be:  

p_v =P(z  

Using the p value obtained and the significance level assumed \alpha=0.05 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 5% of significance the proportion of of investors that are currently confident of meeting their investment goals is not significantly lower than 0.41 or 41%.  

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