3 years ago

-3x + 2y = 8 Help pleases and thank you ...

Mathematics

1 answer:

malfutka [58]3 years ago

8 0

Second one. The points should be at (-4,5) and the slope should be 3/2

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It requires 15 gallons of mulch to cover 5 flowerbeds.How many gallons are needed to cover 7 flowerbeds?

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You need to work out how much you need for 1 flowerbed,
So, 15÷5= 3. 3 gallons =1 flowerbed
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3 years ago

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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,

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

$CI=72.5 \pm 5.96$

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

$CI=(66.54,78.46)$

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3 years ago

Bob is trying to decide between two cell phone plans. Plan A has no flat fee, but the user must pay $10 cents per minute on the

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$ per min is a rate. you multiple by minutes to get dollars.

A = 10x
B = 5x + 20

set them equal to find minutes, x.

10x = 5x + 20
10x - 5x = 20
5x = 20

x = 4

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3 years ago

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Please help with this question

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Have you ever heard of slader.com?

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