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fgiga [73]
3 years ago
12

Find the length of an arc when the radius is 15 feet and the measure of the central angle 135 degrees. Round to nearest hundredt

h.
Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

35.34

Step-by-step explanation:

The formula for arc length is 2rФπ/360

2(15)(135)=4050

4050/360·π=35.34

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I need to calculate a=8c-b divided by c, how do I calculate?
laila [671]

Answer:


Step-by-step explanation:

8xC-Bdivide by c


5 0
3 years ago
Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
Stacy bought gas for her car . Gas cost$143.54 per liter. Stacy bought 12.4 liters. What was the total cost for Stacy gas expres
UNO [17]

Answer:

$1779.896

Step-by-step explanation:

From the above question

1 liter = $143.54

12.4 liters = $x

Cross Multiple

1 liter × $x = 12.4 liters × $143.54

$x = 12.4 liters × $143.54/1 liter

$x = $1779.896

Therefore, the total cost for Stacy gas in dollars and cents is $1779.896

8 0
2 years ago
Please I need help!!!!!!!!!!!!!!!!!!!!!!!!
Ray Of Light [21]

Answer: 40

Step-by-step explanation:

7 0
3 years ago
Solve the system below by substitution. Give your answer as an ordered pair.
bearhunter [10]
Work:
2x+5(6x+23)=-13
2x+30x+115=-13
32x=-128
x=-4

y=6(-4)+23
y=-24+23
y=-1

The answer is (-4,-1)

Hopefully this helps!
6 0
3 years ago
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