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NikAS [45]
3 years ago
7

A. -22 B. -1.1 C. 1.1 D. 22pic is the qusetion

Mathematics
2 answers:
Anastaziya [24]3 years ago
8 0
2.5 - 0.25x = - 3

0.25x = 2.5 + 3

x = 5.5 / 0.25

x = 22

In short, Your Answer would be: Option D

Hope this helps!
Molodets [167]3 years ago
6 0
X=22 is your answer to your question
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A carpenter uses 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase.
ch4aika [34]

First, we would need to figure out how many shelves are needed to build 1 bookcase. To do that, you would need to divide the number of shelves by the number of bookcases it can make.

65 ÷ 13 = 5

Now we know, it takes 5 shelves to build a single bookcase.  The next step would be to find out how many shelves it would take to build 6 more bookcases.  To find the answer, you would multiply the number of shelves it takes to build 1 bookcase by the number of bookcases that need to be built.

5 x 6 = 30

So, yes, 32 shelves would be more than enough to build 6 more bookcases.

7 0
3 years ago
Read 2 more answers
I needd help is due today at 3pm qnq!!
masha68 [24]
The answer is c, since they both add up to 90°
3 0
3 years ago
What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5?
Mila [183]
Average rate of change refers to the slope of a function/equation. 
To solve this, plug in for both x values and calculate the average, or mean. 

x = 1 
f(1) = 5(2)^1 
      = 5(2) 
      = 10

x = 5 
f(5) = 5(2)^5
      = 5(32) 
      = 160

Now, you calculate the average: 
10 + 160 = 170 
Divide by 2 and you get 85.



5 0
3 years ago
You have just arranged for a $1,640,000 mortgage to finance the purchase of a large tract of land. the mortgage has an apr of 6.
sergeinik [125]
You would take 6.4% into 1640000 and you would pay that the next 30 years

3 0
3 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
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