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NemiM [27]
3 years ago
8

Give that the triangles shown below are similar, what is the value of x

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

X=14 because it is half of 28

Hope this helps

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The mean of four consecutive even numbers is 15. The greatest of these numbers is a1. The least of these numbers is a2.
skad [1K]
X + (x + 2) + ( x + 4) + (x + 6)
-----------------------------------     = 15
                   4

4x + 12
---------    = 15
    4

Multiply by 4 on both sides

4x + 12 = 60
subtract 12 from both sides
4x = 48
divide by 4 on each side
x = 12
x + 2 = 14
x + 4 = 16
x + 6 = 18
6 0
3 years ago
a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
6 0
3 years ago
To make a fruit salad for a party, Chris
Sloan [31]

Answer:

$33.81

Step-by-step explanation:

2.49*3 = 7.47 dollars for 3 pounds of strawberries

3.19*2 = 6.38 dollars for 2 pounds of blueberries

4.99*4 = 19.96 dollars for 4 pounds of pineapple

7.47 + 6.38 + 19.96 = 33.81 dollars spent in total

4 0
2 years ago
Bruce ate 18 chips and 23 pretzels.About how many snacks did he eat in All?
Airida [17]
51 snack in all because 18 + 23 = 51
4 0
2 years ago
Mr.Lopez owns a home that sits on 7/8 of an acre. He has decided to plow up 1/4 of the property to create a garden. What fractio
vodomira [7]

In math, "of" almost always means "times".

"The property" is 7/8 acre.

So "1/4 of the property" means "1/4 times 7/8 acre".

1/4 x 7/8 = (1 x 7) / (4 x 8)

That's 7/32 .

Mr. Lopez hasn't plowed up anything yet, but his plan is to plow up 7/32  acre for his garden.


3 0
2 years ago
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