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Marrrta [24]
3 years ago
9

The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.

Mathematics
1 answer:
Elena L [17]3 years ago
7 0
2(5x+4)= 10x+8 ,

I might be wrong but tried my best so best of wishes!
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Sarah's age is five less than twice her sister's age. Sarah is fifteen years old.
saul85 [17]
Let her sisters age be x.
=>sister .....x

Sarah.
twice x=2x. then less than 5
=> (2x-5 )
if Sarah = 15 years
by substation, 2x-5=15
3 0
3 years ago
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Wendy’s offers eight different condiments (mustard, catsup, onion, mayonnaise, pickle, lettuce, tomato, and relish) on hamburger
julsineya [31]

Answer:

Check the explanation

Step-by-step explanation:

Conclusion: young people like condiments.

First, let's convert things into percentages, since the number in each age category is different. There are 143 in "Under 18", 233 in "18 to 40", 161 in "40 to 60", and 122 in "over 60".

Of the under 18s: 71 of 143 = 49.7% order three or more.

Of the 18-40s: 87 of 233 = 37.3% order three or more.

Of the 40-60s: 47 of 161 = 29.2% order three or more.

Of the 60 and ups: 28 of 122 = 23.0% order three or more.

The older you are, the less likely you are to order lots of condiments.

4 0
2 years ago
What is the area of the figure?
Arada [10]

The area of the figure is 28 yd^2

4 0
3 years ago
Read 2 more answers
An automobile manufacturer claims that its van has a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contra
Yuliya22 [10]

Answer:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

p_v =2*P(z  

If we compare the p value and the significance level given \alpha=0.02 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=31.1 represent the sample mean

\sigma=1.3 represent the population standard deviation for the sample  

n=140 sample size  

\mu_o =31.3 represent the value that we want to test  

\alpha=0.02 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We can assume that we conduct a hypothesis in order to check if the true mean is equal to 31.3 , the system of hypothesis would be:  

Null hypothesis:\mu =31.3  

Alternative hypothesis:\mu \neq 31.3  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82  

P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.02 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.  

5 0
3 years ago
I need help solving this question
mina [271]

C.

Combine like terms when adding f(x) and g(x) 2x^2 + x^2 and 1 + (-7) = 3x^2 - 6

5 0
3 years ago
Read 2 more answers
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