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maria [59]
3 years ago
11

Solve the equation 5.25x + 6 = 74.25. Enter your answer in the box. x =

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

<h2>x=13</h2>

Step-by-step explanation:

5.25x + 6 = 74.25.

           -6     -6

-----------------------------

5.25x=68.25

5.25x/5.25=68.25/5.25

x=13

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An opinion poll asks a simple random sample of 100 college seniors how they view their job prospects. In all, 53 say "good." Doe
ValentinkaMS [17]

Answer:

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

Step-by-step explanation:

Information provided

n=100 represent the random sample ofcollege senior selected

X=53 represent the college seniors who say good

\hat p=\frac{53}{100}=0.53 estimated proportion of seniors who think their job prospects are good

p_o=0.5 is the value that we want to test

z would represent the statistic

p_v represent the p value

System of hypothesis

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we have:

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6  

The p value for this case would be given by

p_v =P(z>0.6)=0.274  

7 0
4 years ago
Please help me !! :(
Oliga [24]

Answer:

4th option

Step-by-step explanation:

The term that combines with 3x²y , must have variables x²y

The only other term with x²y is 8x²y

6 0
3 years ago
Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Ro
gayaneshka [121]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is  49.85    < \mu < 54.15

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

    The  sample size is n = 30  

    The sample mean is  \= x  =  52

    The population standard deviation is  \sigma =  6

Given that the confidence level is 95% then the level of confidence is evaluate as

             \alpha  =  100 -  95

            \alpha  =  5\%

            \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                 Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

           E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

            E =  1.96  *  \frac{ 6 }{\sqrt{30} }

           E =  2.147

The  95% confidence interval is mathematically represented as

          \= x  - E  < \mu <  \= x  + E

substituting values

         52   - 2.147   < \mu <  52   +   2.147

         49.85    < \mu < 54.15

       

     

4 0
4 years ago
Can you help me, I'm stuck
katrin [286]

Answer:

x=9

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Allana used Fraction 3 over 5 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 7 over 10 yard
ikadub [295]

Answer:

The answer is actully the third one

Step-by-step explanation:

Divide 1 7/10 by 3/5 to see if the quotient is greater than 2.  If it's not, you can't get 2 scarves out of it.  If it is, then you can get 2 scarves out of it and have whatever the remainder is as left-over.  Before we divide, let's change that 1 7/10 into an improper fraction since it will be easier to work with.

1 7/10 = 17/10

Now we can divide:

The rule for dividing fractions is that you bring up the lower fraction and flip it to multiply, so that looks like this:

×

To simplify before we multiply, we can reduce between the 5 and the 10 and have smaller numbers to deal with:

×

The product there is

So the answer you want from your choices is

"Yes, because the quotient of Fraction 1 and 7 over 10 [division sign]Fraction 3 over 5 is 2 and 5 over 6", third choice

3 0
4 years ago
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