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Keith_Richards [23]
2 years ago
6

The area of a square is found by squaring one of its sides, (A = s ^2). A certain square has an area of z^ 2 + 18z + 81. Factor

the trinomial to find a side of the square.
a)side = z + 27
b)side = z + 18
c)side = z + 9
Mathematics
1 answer:
Harrizon [31]2 years ago
4 0
<span>z^ 2 + 18z + 81 = (z + 9)^2

so side = z + 9 

answer: </span><span>c)side = z + 9</span>
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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
2 years ago
Is 8/9 a terminating decimal or a repeating decimal
satela [25.4K]

Answer:

it's is a repeating decimal

4 0
2 years ago
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Estimate the product or quotient<br><br>4/7×1/6​
vlabodo [156]

Answer:4/5

hope it helps

Step-by-step explanation:

6 0
3 years ago
the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a s
Alika [10]

Answer:

16 is the width 32 is the length

Step-by-step explanation:

L = 2x

96 = 2L + 2x           Substitute the first equation into the second equation for L

96 = 2(2x) + 2x       Multiply

96 = 4x + 2x           Add

96 = 6x                   Divide both sides by 6

16 = x

Plug this into the first equation to solve for the length

L = 2(16)                  Multiply

L = 32

6 0
2 years ago
I don’t understand question b can somebody explain it for me?
amid [387]
If Gabrielle takes 19 minutes to run 2 miles then how much time does he take to complete 1 mile.

The above is the ‘b’ question.

We can get to know who long he takes to complete 1 mile taking the mean of the two in the double number line.

In this case it would be, the mean if 2 to get 1 and the mean of 19,

The mean of 2 is,

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And the mean of 19 mins is,

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Hence, Gabrielle takes 9.5 mins to complete 1 mile.

Hope this helps you. Plz let me know if you have any doubts.

4 0
2 years ago
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