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levacccp [35]
3 years ago
13

HELP DUE IN 10 MINS!

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi

Step-by-step explanation:

Area of a circle with radius r: r^2\pi

Circumference of a sector with radius r: 2r\pi

Area of sector with angle \theta:  r^2\pi\cdot \frac{\theta}{360}.

Arc length of sector with angle \theta: 2r\pi\cdot \frac{\theta}{360}

Using these equations, we get the following information:

Area of circle: 27^2\pi=729\pi

Circumference of a circle: 2\cdot 27\cdot \pi=54\pi

Area of sector: 27^2\pi\cdot \frac{80}{360}=162\pi

Arc length of sector: 2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi

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Evaluate: 542 × 31
ryzh [129]

Answer:

<h2>C. 16,802</h2>

Step-by-step explanation:

h h h h h h h h h h

5 0
3 years ago
Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

Confidence interval is

(0.0365-0.00276,0.0365+0.00276)

(0.0338,0.0392)

the mean value is lies between in this confidence interval

(0.0338,0.0392).

<u>Answer:-</u>

<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

4 0
3 years ago
OH GOD PLEASE HELP ME MY BRAIN HURTS!
alukav5142 [94]
Your answer should be 71. :)
8 0
3 years ago
The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end (in feet)?
luda_lava [24]
The answer is 3.16 ft

The surface area (SA) of the rectangular prism is:
SA = 2lw + 2ld + 2wd

However, the pool is without the top side, so the area of the top side should be excluded from the surface area of the pool. The surface area of the rectangular pool is:
SA = lw + 2ld + 2wd

We know:
SA = 210 ft²
l = 9 ft
w = 10 ft
d = ?

210 = 9 * 10 + 2 * 9 * d + 2 * 10 * d
210 = 90 + 18d + 20d
210 - 90 = 38d
120 = 38d
d = 120/38
d = 3.16 ft
8 0
3 years ago
Find f(x) and g(x) so that the
TiliK225 [7]

Answer:

g(x) = sin(x)

f(x) = e^x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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