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Lena [83]
3 years ago
15

What is the value of x in the figure ? In this diagram,

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

9514 1404 393

Answer:

  E.  25/4

Step-by-step explanation:

The right triangles are similar so the sides are proportional.

  short side/hypotenuse = x/10 = 10/16

  x = 100/16 = 25/4 . . . . . . multiply by 10

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The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the
larisa86 [58]

Answer:

The need to sample 76 days.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that \sigma = 1010

So

M = z*\frac{\sigma}{\sqrt{n}}

300 = 2.575*\frac{1010}{\sqrt{n}}

300\sqrt{n} = 2.575*1010

\sqrt{n} = \frac{2.575*1010}{300}

(\sqrt{n})^{2} = (\frac{2.575*1010}{300})^{2}

n = 75.1

Rounding up

The need to sample 76 days.

3 0
3 years ago
For all values of x, y, and z, which expression is equivalent to 4x + 4y + 4z? A) 4(x + y + z) B) 4y(x + z) C) 4(x + 4y + 4z) D)
lora16 [44]
the answer is A) 4 (x + y+ z)
3 0
3 years ago
Read 2 more answers
Find the 7th term in the sequence <br> 2,8,32,128
Anuta_ua [19.1K]

Answer:

8192

Step-by-step explanation:

The pattern here is that each term multiplied by 4 is the next number. You can keep multiplying by 4 until you reach the 7th term. So the 5th term will be 128x4 = 512. The 6th term will the 512x4 = 2048. And finally, the 7th term will be 2048x4 = 8192.

3 0
3 years ago
How many cubic meters of water did the hull of the Titanic have to displace to stay afloat?
horrorfan [7]
1000 kg/m3 for fresh water
hope this helps

5 0
3 years ago
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I ate 8/15 of the total amount of soup, then 140 ml of it remained in the bowl. how many milliliters of soup were there in the b
charle [14.2K]
Let t=original amount of soup

8/15 of t is 140
“Of” means multiply, “is” means equal to
Therefore
8/15t=140
t=140*15/8
t=262.5

Hope this helped :)
4 0
2 years ago
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