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user100 [1]
3 years ago
14

A porch has the shape of a quarter circle with a diameter of 5 ft.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0
So you have a quarter circle

this area is equal so 1/4 of total area
find total area and diviby by 4

area=pi r^2
diameter=2r
diameter/2=r
diameter=5
5/2=r=2 and 1/2=2.5

equation is now
3.14 times 2.5^2
3.14 times 6.25
19.625

that is total area

now divide by 4
19.625/4=4.9 ft
round to nearest foot
5

answer is 5 ft^2
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Given a normal population which has a mean of 110 and a standard deviation of 5, find the probability that a random sample of 49
Mrac [35]

Answer:

0.9168

Step-by-step explanation:

From the data given:

Mean = 110

standard deviation = 5

Let consider a random sample n =49 which have a mean between 109 and 112.

The test statistics can be computed as:

Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}

Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}

Z_1= \dfrac{-1}{\dfrac{5}{7}}

Z_1  = -1.4

Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}

Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}

Z_2 = \dfrac{2}{\dfrac{5}{7}}

Z_2 =2.8

Thus; P(109  <  \overline x  <  112) = P( - 1.4 < Z < 2.8)

= P(Z < 2.8) - P( Z < -1.4)

= 0.9974 - 0.0806

= 0.9168

8 0
3 years ago
2.) Mila completed a half marathon race over the weekend. The full race was
In-s [12.5K]

Answer:

10.48 miles.

Step-by-step explanation:

That is 4/5 * 13.1

= 10.48 miles.

7 0
2 years ago
What is the value of a?
emmasim [6.3K]

Answer:

A=8

Step-by-step explanation:

If you use the formula 30-60-90 which is a-radical 3a-2a

since the hypotenuse is 2a it equals 16

therefore if its 2a all you need to do is divide it where then you get 8.

6 0
3 years ago
for a normal distribution curve with the mean of 15 and a standard deviation of 5, which range of the variable defines an area u
kipiarov [429]
Using empirical rule,
Upper range of 68%=15+5=20
Lower range =10
Range=10
8 0
3 years ago
Question 17 and 18 plz show ALL STEPS and HELP ME ASAP
NARA [144]

Answer:

17) 750/9 and 18) 364

Step-by-step explanation:

17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9

18) It's a series with sum=1+3+9+27+81+243=364

7 0
3 years ago
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