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Karolina [17]
4 years ago
8

NEED HELP ASAP! What is the value of x? x =

Mathematics
1 answer:
rjkz [21]4 years ago
7 0

The Intersecting Secant Theorem says

EC × ED = EB × EA

(x+4)(x+4+1) = (x+1)(x+1+11)

(x+4)(x+5)=(x+1)(x+12)

x^2 + 9x + 20 = x^2 + 13 x + 12

8 = 4x

x = 2

Check:

6(7)=42

3(14)=42, good

Answer: 2

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There are two costs involved:

1) the cost for lunch, which is given as a rate per student: $7.25/student

2) the cost for the trip which is $443.75 to be divided by the 25 students, so it is $443.75 / 25 = $17.75/student

Now, you can add up those two costs per student to have the total cost per student:

$7.25 + $17.75 = $25.00/student

Answer: $25.00
5 0
4 years ago
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A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short c
prisoha [69]

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

6 0
3 years ago
59÷2<br><img src="https://tex.z-dn.net/?f=59%20%5Cdiv%202" id="TexFormula1" title="59 \div 2" alt="59 \div 2" align="absmiddle"
zubka84 [21]
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4 years ago
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Elza [17]
1/2 (4)^3

1/2 x 64

32
7 0
4 years ago
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Nonamiya [84]
Rice: .5(8) = 4kg (4000 g)
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Total mass = mass of rice (4000 g) + mass of popcorn (1800g)

So...

Total mass = 5,800 g (or 5.8 kg)
6 0
3 years ago
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