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VLD [36.1K]
3 years ago
14

An angle measuring 32 degrees has a complement that measures (2x - 16)degrees. What is the value of x? (and the steps)

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

37°

Step-by-step explanation:

32+2x-16=90

2x+16=90

2x=90-16

2x=74

x=37

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The formula A=P(1+r)t is used to show the total amount owed for a loan with a simple annual interest rate.
vodka [1.7K]
We are asked to express r in terms of A, P, and t.

We first divide both sides of the equation by t, which gives us

                                         
                     \displaystyle{ \frac{A}{t}=P(1+r), 


then, dividing both sides by P, we have

                     \displaystyle{ \frac{A}{Pt}=1+r.

Swap the sides:

                    \displaystyle{ 1+r= \frac{A}{Pt} 
      
Finally subtracting 1 from both sides gives us

                     \displaystyle{ r=\frac{A}{Pt}-1.


5 0
2 years ago
Read 2 more answers
Fill in the missing parts. Then determine which bowl contains more sodium.
san4es73 [151]

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

6 0
2 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

                               =  3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0
3 years ago
Which equation has the correct sign on the product
Nata [24]
C. Because c is makes more sense
7 0
2 years ago
Read 2 more answers
Find the area of the figure.
bazaltina [42]

16 is the answer add all side door

4 0
2 years ago
Read 2 more answers
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