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yawa3891 [41]
3 years ago
13

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

Mathematics
1 answer:
tangare [24]3 years ago
3 0
The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day
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a planter is shaped like a right rectangular prism its height, h is 5 4/5 inches. The length, L is 14 1/2 inches ,and its width,
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Answer:

There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:

Step-by-step explanation:

The volume of a right rectangular prism may be calculated using the formula:

whl, where w is width, h is height and l is length.

In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.

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A large manufacturer that sells consumer products on-line wishes to publicize its customer satisfaction in an advertisement. Spe
sergejj [24]

Answer:

z=\frac{0.93 -0.9}{\sqrt{\frac{0.9(1-0.9)}{400}}}=2  

p_v =P(z>2)=0.0228  

So the p value obtained was a very low value and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who say yes is significantly higher than 0.9 or 90%.

Step-by-step explanation:

Data given and notation

n=400 represent the random sample taken

X=372 represent the number of people who say yes

\hat p=\frac{372}{400}=0.93 estimated proportion of people who say yes

p_o=0.9 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)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that that more than 90% of its costumers would tell their friend to buy a product from the manufacturer.:  

Null hypothesis:p\leq 0.9  

Alternative hypothesis:p > 0.9  

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.

Calculate the statistic  

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

z=\frac{0.93 -0.9}{\sqrt{\frac{0.9(1-0.9)}{400}}}=2  

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 assumed for this case is \alpha=0.05. 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)=0.0228  

So the p value obtained was a very low value and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who say yes is significantly higher than 0.9 or 90%.

8 0
3 years ago
Which is an equation of the line with<br> slope that contains the point (6, 4)?
Vesna [10]

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is y=\frac{1}{2} x+1

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3 years ago
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