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UkoKoshka [18]
3 years ago
10

-2(x-6)+7=35 How do I solve this equation with all the steps

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0
-2(x-6)+7=35 -2x+6+7=35 (Distributive property) -2x+13=35 (Simplify, combine like terms) -2x+13-13=35-13 -2x=22 -2x/-2=22/-2 X=-11
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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
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volume
Over [174]

Answer:

1

Step-by-step explanation:

10-9

5 0
3 years ago
Read 2 more answers
Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations
11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0
3 years ago
Is x greater than, less than or equal to 35°?
zaharov [31]

Answer:

x<350

Step-by-step explanation:

Just look at it the area with the x is much smaller

7 0
2 years ago
Read 2 more answers
Emma has $100 to spend at the pet store. She needs to buy 1 bag of dog food and 2 chew toys how many catnip toys can Emma buy
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She will have enough for the cat and dog food.the 6 cat food bags will be $108
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3 years ago
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