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3 years ago

What is the answer to 2+b=7

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

b=5

Step-by-step explanation:

2+b=7

Subtract 2 from each side

2+b-2=7-2

b= 5

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Solve the problem below

Sliva [168]

Answer:

T = 60 degrees

Step-by-step explanation:

The dotted line is the height so it is a right angle

We are able to use trig functions since this is a right triangle

cos T = adj side / hyp

cos T = a/b

cos T = 8 sqrt(2) / 16 sqrt(2)

cos T = 1/2

Taking the inverse of each side

cos^-1 ( cosT) = cos^-1 ( 1/2)

T = 60 degrees

3 0

3 years ago

Read 2 more answers

Determine whether the quadrilateral is a parallelogram. Justify you answer.

agasfer [191]

Answer:

It is a quadrilateral.

Step-by-step explanation:

Quadrilateral is a 4-sided shape where the total angles is 360°.

So when you add up all the angles, you will get 360°.

4 0

3 years ago

Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 hav

Furkat [3]

Answer:

There is no significant evidence that p1 is different than p2 at 0.01 significance level.

99% confidence interval for p1-p2 is -0.171 ±0.237 that is (−0.408, 0.066)

Step-by-step explanation:

Let p1 be the proportion of the common attribute in population1

And p2 be the proportion of the same common attribute in population2

$H_{0}$ : p1-p2=0

$H_{a}$ : p1-p2≠0

Test statistic can be found using the equation:

$z=\frac{p2-p1}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of the common attribute in population1 ( $\frac{16}{30} =0.533$ )

p2 is the sample proportion of the common attribute in population2 ( $\frac{1337}{1900} =0.704$ )

p is the pool proportion of p1 and p2 ( $\frac{16+1337}{30+1900}=0.701$ )

n1 is the sample size of the people from population1 (30)

n2 is the sample size of the people from population2 (1900)

Then $z=\frac{0.704-0.533}{\sqrt{{0.701*0.299*(\frac{1}{30} +\frac{1}{1900}) }}}$ ≈ 2.03

p-value of the test statistic is 0.042>0.01, therefore we fail to reject the null hypothesis. There is no significant evidence that p1 is different than p2.

99% confidence interval estimate for p1-p2 can be calculated using the equation

p1-p2± $z*\sqrt{\frac{p1*(1-p1)}{n1}+\frac{p2*(1-p2)}{n2}}$ where

z is the z-statistic for the 99% confidence (2.58)

Thus 99% confidence interval is

0.533-0.704± $2.58*\sqrt{\frac{0.533*0.467}{30}+\frac{0.704*0.296}{1900}}$ ≈ -0.171 ±0.237 that is (−0.408, 0.066)

7 0

3 years ago

Maggie purchased 8 pounds of ground beef for $18.00. Which of the following does NOT represent the same price per pound?

agasfer [191]

Answer: 5 pounds of ground beef ( don't see second :-( )

Step-by-step explanation: I found the unit rate per pound ( 2.25 ) and then multiplied that by the other pounds to compare the two prices and I only found 5 pounds to be incorrect, but I'll keep digging, hope this helps!

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3 years ago

How much would $100 invested at 8% intrest compounded annually be worth after 15 years? round your answer to the nearest cent. d

frosja888 [35]

Our P = 100, r = .08, n = 1 (annually means once a year), and t = 15. Filling in accordingly, we have $A(t)=100(1+ \frac{.08}{1})^{(1)(15)}$ . Simplifying a bit gives us $A(t)=100(1+.08)^{15}$ and $A(t)=100(1.08)^{15}$ . Raising that number inside the parenthesis to the 15th power gives us $A(t)=100(3.172169114)$ . Multiplying to finish means that A(t) = $317.22

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3 years ago