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FromTheMoon [43]
3 years ago
9

Each bucket holds 212

Mathematics
1 answer:
serg [7]3 years ago
5 0

Answer:

5088

Step-by-step explanation:

212*24=5088

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In the right triangle shown, m<br> How long is YZ ?
Elis [28]
Can i see a picture of the triangle/ angle ?
7 0
3 years ago
Find the value c that completes the square for x^2-8x+c
Blababa [14]

Answer: 16

Step-by-step explanation:

x^2-8x+c

Let's complete the square.

c=(\frac{b}{2})^2

c=(\frac{-8}{2})^2

c=(-4)^2\\ c=16

7 0
3 years ago
In a sample of eight whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a sta
Advocard [28]

Answer:

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.3246

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.3646\frac{0.06}{\sqrt{8}} = 0.0502

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg

The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

8 0
3 years ago
The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F
PolarNik [594]

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter =2(x+4x+7)=2(5x+7)=10x+14 meters

Hence,

10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters

5 0
3 years ago
Which equation is parallel to the graph of y = 2x-5 and goes through the point (3,9)?
lawyer [7]

Answer:

y = 2x + 3

Step-by-step explanation:

the slope is 2 so the line parallel will have a slope of 2

y-9 = 2(x-3)

y-9= 2x - 6

y = 2x +3

6 0
3 years ago
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