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3 years ago

Estimate 1.3 - (-2.5)

Mathematics

1 answer:

Helen [10]3 years ago

8 0

Answer:

3.8

Step-by-step explanation:

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3 years ago

A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

$\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}$

From the t-table with 9 degree of freedom for $\frac{\alpha}{2}=0.005$

$t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}$

$t_{n-1,\frac{\alpha}{2}}=3.250$

The 99% confidence interval is given by,

$CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}$

$CI=72.5 \pm 5.96$

$CI=(72.5+5.96),(72.5-5.96)$

$CI=(66.54,78.46)$

8 0

3 years ago

If f(x)= 3x + 4, then what is f(-2)

iren [92.7K]

Answer:

f ( - 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 3x + 4 Equation

Step 2:

f ( - 2 ) = 3 ( - 2 ) + 4 Input x value

Step 3:

f ( - 2 ) = - 6 + 4 Combine Like Terms

Answer:

f ( - 2 ) = - 2 Combine Like Terms

Hope This Helps :)

6 0

3 years ago

A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 13 ft.

pychu [463]

Answer:

the volume of the container is $28\ ft^{3}$

Step-by-step explanation:

we know that

To find the volume of the container calculate the volume of one wooden cube block and multiply by 756

The volume of one cube is equal to

$V=(1/3)^{3}= (1/27)\ ft^{3}$

the volume of the container is equal to

$V=(1/27)*756=28\ ft^{3}$

4 0

3 years ago

Read 2 more answers

Need Assistance<br>Show Work

Evgesh-ka [11]

Answer:

-52, and the opposite of this is 52.

Step-by-step explanation:

If we are losing 52 pounds, then our number is -52 since we are losing 52 pounds (adding a negative number to a positive number is the same as subtracting that number).

The opposite of a number is when we negate the number, or multiply it by -1.

A negative number times a negative number is a positive number.

$-52\cdot-1 = 52\cdot1 = 52$

Hope this helped!

6 0

2 years ago

Read 2 more answers