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jeka57 [31]
3 years ago
5

The length of a rectangle is (3x - 5) inches, and its width is 2x inches. Find the area of the rectangle.

Mathematics
2 answers:
n200080 [17]3 years ago
8 0

Answer:

6x^2 - 10x  inches ^2

Step-by-step explanation:

The area of a rectangle is

A = l*w

    = (3x-5) * (2x)

    = 6x^2 - 10x

SVETLANKA909090 [29]3 years ago
7 0

Answer:

The area of the rectangle is 6x^2(squared)-10x

Step-by-step explanation:

To find the area of rectangles, you must multiply the length by the width. The formst for this is A=LxW. When you substitute each part of the equation in, it becomes 2x(3x-5). When you have parentheses, distribute the number on the outside to each number(or variable) on the inside. First, multiply 2x by 3x. This leaves you with 6x^2(squared). Then, multiply the 2x by the -5. This leaves you with -10x. Combine each part to get 6x^2(squared)-10x. :)

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It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
kow [346]

Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t 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 need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-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:      

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
3 years ago
Eli works in an electronics repair shop. he earns 9 dollars an hour plus a bonus for each item her repairs.
Jobisdone [24]
The equation is
a=9h+bn
3 0
3 years ago
Read 2 more answers
Which number is the exponent in 10 by the power of 5
almond37 [142]

The exponent in the equation is the 5.

5 0
3 years ago
On a particular day, the wind added 5 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 5 miles pe
olga55 [171]

Answer:

45

Step-by-step explanation:

The first part of the question is to throw you off and is of no use

To find the answer you must find the midpoint of 30 and 60

which shall give you 45 and that is the answer to the question

Hope this helped you

3 0
3 years ago
What number has the same value as 14 tens
nasty-shy [4]
The number with the same value will be 40 because 10 tens make 100 and 4 tens make 40 so it wili  be 140
8 0
3 years ago
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