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Arte-miy333 [17]
3 years ago
13

Evaluate. 5(-6) = _____

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

ANSWER

Your answer is -30

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Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

Confidence interval is

(0.0365-0.00276,0.0365+0.00276)

(0.0338,0.0392)

the mean value is lies between in this confidence interval

(0.0338,0.0392).

<u>Answer:-</u>

<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

4 0
3 years ago
I NEED HELP ASAP please please hurry up!!
prohojiy [21]

Answer:

first one is 0.02   the second is 8

Step-by-step explanation:

4 0
3 years ago
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
AlekseyPX

Answer:

14th term

Step-by-step explanation:

7 0
3 years ago
Please help me with these two, and please explain how to do it. Thank you.
pychu [463]

Answer:

So for number 1 we can use the trigonometry to find out the radius/diameter of the circle then we can use the formula to get the area then we divide by 2 because its half of a circle. So we can get that the cos(68) = 7/x x being the diameter. We then can multiply it by x on both sides. That gives xcos(68) = 7. So then we can do the inverse and get x = cos^-1(68)*7. That gives us approx 18.686 as the diameter, we can divide by 2 and get 9.343. So then we can use the formula which is A = pi*r^2. So that gives us 87.291*pi 274.233. Then if we divide by 2 we get 137.12 that is the answer to first question.

I was able to simplify it into the factored form for number 2.(x-1)^2+(y-2)^2=sqrt(17))^2. Therefore using the circle equation formula we can determine that the center is 1,2. The radius is sqrt(17). We square it and we get 17. So that means that the area is pi*17. Then we get 51.407 as the area.

<h2><u>Answer to 1: 137.12 round to tenth and you get 137.1</u></h2><h2><u></u></h2><h2><u>Answer to 2: </u></h2><h2><u>Center: 1,2 </u></h2><h2><u>Area: 51.407.</u></h2>
3 0
3 years ago
Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal
Juliette [100K]
Let us try and solve it analytically. We have that the side=x+3  together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that (x+4)^2=(x+3)^2+s^2. This yields s^2+x^2+6x+9=x^2+8x+16
which yields s^2=2x+7, hence a) is the correct answer.
4 0
3 years ago
Read 2 more answers
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