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ipn [44]
2 years ago
8

Factor 1.2 out of 1.2x - 7.2

Mathematics
1 answer:
tatyana61 [14]2 years ago
5 0

Answer:

6/5 x (x-6)

Step-by-step explanation:

convert the decimal into a fraction

1.2x -7.2

6/5x - 36/5

factor 6/5 from the expression

6/5x (x-6)

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8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators
Kitty [74]

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

3 0
3 years ago
Given f(x)=3^(x-2) and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur
klio [65]

Answer with Step-by-step explanation:

We are given that

f(x)=3^{x-2}

g(x)=f(3x)+4

We have to write the rule for function g and describe the transformation between f and g.

Compress the function by scale factor 3 and the translation rule is given by

(x,y)\rightarrow (3x,y)

Then, we get h(x)=f(3x)=3^{3x-2}

Now, shift the y coordinate 4 units above the origin.

Then, the translation rule is given by

(x,y)\rightarrow (x,y+4)

Then , we get

g(x)=3^{3x-2}+4

3 0
3 years ago
How many numbers are in the list 2008, 2003, 1998,............. 8, 3?
Helga [31]

Answer:

I don't understand what you are trying to ask? Sorry

5 0
3 years ago
Read 2 more answers
Which of the following statements is true?
Margaret [11]

Answer:

c

Step-by-step explanation:

it's more a gut feeling

5 0
3 years ago
Find the values of the missing sides in the parallelogram given.
natta225 [31]

Given:

m∠B = 44°

Let's find the following measures:

m∠A, m∠BCD, m∠CDE

We have:

• m∠A:

Angle A and Angle B are interior angles on same side of a transversal.

The interior angles are supplementary.

Supplementary angles sum up to 180 degrees

Therefore, we have:

m∠A + m∠B = 180

m∠A + 44 = 180

Subtract 44 from both sides:

m∠A + 44 - 44 = 180 - 44

m∠A = 136°

• m,∠,BCD:

m∠BCD = m∠A

Thus, we have:

m∠BCD = 136°

• m∠CDE:

Angle C and angle CDE form a linear pair.

Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.

Thus, we have:

m∠D = m∠B

m∠D = 44°

m∠CDE + m∠D = 180

m∠CDE + 44 = 180

Subract 44 from both sides:

m∠CDE + 44 - 44 = 180 - 44

m∠CDE = 136°

ANSWER:

• m∠A = 136°

,

•

,

• m∠BCD = 136°

,

•

,

• m∠CDE = 136°

6 0
1 year ago
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