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4 years ago

Find the area of the shaded sector,

Mathematics

1 answer:

o-na [289]4 years ago

6 0

Answer:

24π

Step-by-step explanation:

Area of circle= πr²= 12²π= 144π

Shaded area= 144π*60/360= 144π/6= 24π

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Integration of the following function

DerKrebs [107]

Answer: None of the above

Step-by-step explanation:

Given

$\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}$

$d\bar{c}=\left ( -6x^{-2}+\frac{1}{6}\right )dx$

Now, integrating both sides

$\int d\bar{c}=\int \left ( -6x^{-2}+\frac{1}{6}\right )dx$

$\bar{c}=-6\frac{x^{-2+1}}{-2+1}+\frac{1}{6}x+k_1$

$\bar{c}=6x^{-1}+\frac{1}{6}x+k_1$

6 0

3 years ago

In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc

coldgirl [10]

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

p = x / n

p = 91/110

p = 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= p - Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.

6 0

3 years ago

When written in scientific notation, the number 4,500 will have a Choose... 2 4 3 as the exponent on the power of ten

nexus9112 [7]

The exponent would be 3.
4.5 x 10^3

6 0

3 years ago

Eddie walks 450.25 feet in 2.5 minutes. Which value is closest to the number of yards Eddie walks in 1 minute?

Anna71 [15]

Eddie walks 60.03 yards in 1 minute using proportion.

What is proportion?

The term proportionality refers to any relationship that has the same ratio every time. The proportional relationship between the two supplied ratios is defined by an equation. In other terms, the proportion declares that the two fractions or ratios are equal. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.

Here let us take time and distance as proportional values,

=> $\frac{distance}{Time}$

=> 450.25/2.5 = x/1

=> x = 180.1 feet.

To convert feet to yards divide the length by 3. then

=> 180.1/3=60.03 yards,

Therefore Eddie Walks 60.03 yards in 1 minute.

To learn more about proportion refer the below link

brainly.com/question/19994681

#SPJ1

7 0

1 year ago

A lawn is in the shape of a trapezoid with a height of 50 feet and bases of 40 feet and 160 feet. How many full bags of fertiliz

Alex787 [66]

Answer:

Step-by-step explanation:

Area = 50 × (40+160)/2 =5000 ft^2

You need one bag.

4 0

3 years ago