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3 years ago

8

Solve the following systems mathematically using substitution -4x-3y=12y=2x-14

1 answer:

miv72 [106K]3 years ago

6 0

Answer:

(3,-8)

Step-by-step explanation:

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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

How do you write 23.80 as a fraction

Scorpion4ik [409]

The correct answer is $\frac{238}{10}$

3 0

3 years ago

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I need help on this question as well.

Y_Kistochka [10]

8 is the answer, because 4 x 8 = 32

7 0

3 years ago

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Alex_Xolod [135]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation

4 0

2 years ago

Suppose that the amount of algae in pound doubles every hour. If the pond initially contains 50 pounds of algae how much algae w

musickatia [10]

Answer:

250

Step-by-step explanation:

because 50 + (4 x 50) that equals 50 + 200 = 250

3 0

3 years ago

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