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olasank [31]
4 years ago
8

Determine the value of x is

Mathematics
1 answer:
liraira [26]4 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

The measure of an arc equals the measure of the central angle that intercepts it.

The measure of an arc intercepted by a diameter is 180 deg.

m(arc)EH = 180

m(arc)EF + m(arc)FG + m(arc)GH = m(arc)EH

10x + 8 + 67 + 11x = 180

21x + 75 = 180

21x = 105

x = 5

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Answer:

154

Step-by-step explanation:

11 * 14

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yulyashka [42]

Answer:

see below

Step-by-step explanation:

4a)  x / 12 = 5

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4b) Dan charges $12 per hour, this doesn't change so it's the constant of proportionality.

4c) S = 12h

  If you substitute the h with the number of hours worked multiply with the  constant of proportionality 12 you'll get the amount charge S.

5) Equation for a slope is (y₂ - y₁) / (x₂ - x₁):

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3 years ago
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8 0
3 years ago
What is equivalent to 23 degrees 20’ 48”
ra1l [238]

Answer:

approx  23.35 degrees

Step-by-step explanation:

Work backwards:  48" is 48/60 minute, or 0.8 minute.  Then we have

23 degrees 20 minutes 0.8 minute, or

23 degrees 20.8 minute, or

23 degrees 20.8/60 degree, or

23.347 degrees, or

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8 0
3 years ago
The lifetimes of a certain type of light bulbs follow a normal distribution. If approximately 2.5% of the bulbs have lives excee
spin [16.1K]

Answer:

Mean = 339 hours

Standard deviation = 54 hours

Step-by-step explanation:

We are given that approximately 2.5% of the bulbs have lives exceeding 445 hours

So,P(x>445) = 0.025

P(x<445) =1- 0.025 =0.975

 z value for 0.975 is 1.96

Formula : z=\frac{x-\mu}{\sigma}

So, 1.96=\frac{445-\mu}{\sigma}

1.96 \sigma =445-\mu--A

Now we are given that  approximately 16% have lives exceeding 393 hours,

So,P(x>393) = 0.16

P(x<393) =1- 0.16 =0.84

 z value for 0.84 is 1

Formula : z=\frac{x-\mu}{\sigma}

So, 1=\frac{393-\mu}{\sigma}

1 \sigma =393-\mu ---B

Solve A and B

Substitute the value of \sigmafrom B in A

1.96 (393 -\mu) =445-\mu

770.28 -1.96\mu=445-\mu

770.28 -445=1.96\mu-\mu

325.28=0.96\mu

\frac{325.28}{0.96}=\mu

338.83=\mu

Substitute the value in B

\sigma =393-338.83

\sigma =54.17

So, mean = 339 hours

Standard deviation = 54 hours

5 0
4 years ago
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