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Art [367]
3 years ago
10

What is the area of the shaded sector?

Mathematics
2 answers:
Mkey [24]3 years ago
8 0
Apply the formulae and substitute in

Crank3 years ago
3 0

Answer:

½ r² ∅

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle. So in the below diagram, the shaded area is equal to ½ r² ∅ .

Step-by-step explanation:


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Slope is 4 and (4,6) is on the line
erik [133]

Answer:

y-6=4(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=4(x-4)

5 0
3 years ago
Weight gain during pregnancy. In 2004, the state of North Carolina released to the public a large data set containing informatio
Kryger [21]

Answer:

From the given data, there is not enough evidence to prove that there is a statistically significant difference between the two population means

Step-by-step explanation:

The number of younger moms, in the study = 837

The average weight gain of younger moms, \overline x₁ = 30.67 pounds

The standard deviation of the weight gain of younger moms, s₁ = 14.69 pounds

(30.67 - 28.52)/√((14.69^2)/837 + 13²/143))

The number of younger moms, in the study = 143

The average weight gain of mature moms, \overline x₂ = 28.52 pounds

The standard deviation of the weight gain of mature moms, s₂ = 13 pounds

The test statistic for the difference in two populations is given as follows;

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

Therefore, we get;

t=\dfrac{(30.67-28.52)}{\sqrt{\dfrac{14.69^{2} }{837}-\dfrac{13^{2}}{143}}} \approx 1.7919

The test statistic ≈ (1.7919)

Using a graphing calculator, we get;

The critical-t = ±1.971379, p = 0.07459697

Therefore, given that the test statistic, (1.7919), < critical-t (0.07459697), we fail to reject the null hypothesis, therefor, the given data does not provide convincing evidence that there is a significant difference between the two population means

7 0
3 years ago
POINTS AND BRAINLEST HELP ME PLEASE ILL GIVE POINTS PLEASE
vaieri [72.5K]

Answer:

D or A

Step-by-step explanation:

6 0
3 years ago
t a gas station, 15 gallons of gas has a price of $17.55 and 18 gallons of gas has a price of $21.06. Write a direct variation e
yaroslaw [1]
Use  constant of variation y =kx  i.e
15 gallons k=>17.55
k gallons =17.55/15=1.17

18 gallons k=>21.06
k gallons =21.06/18=1.17

Therefore ans => y=1.17x


7 0
3 years ago
Read 2 more answers
A right triangle has a hypotenuse of 70 feet and a leg of 35 feet. What is the length of the other leg?
Hunter-Best [27]
We are given the two sides of the right triangle therefore we can use the pythagorean theorem to solve for the third side. This theorem states that, in a right triangle the square of the hypotenuse is equal to the sum of the square of each leg.

c² = a² + b²
70² = 35² + b²
b = √70² - 35²
b = 60.62 feet
4 0
4 years ago
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