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2 years ago

PLZ HELP ME ANSWER THIS ASAP (23,24, and 26)

Mathematics

1 answer:

sertanlavr [38]2 years ago

7 0

23. it increased by 12 because the difference between -4 and 8 is 12
24. 25 because 40 minus 15 is 25
26. 5 because 156 minus 96 equals 60 and 60 divided by 12 equals 5

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The diameter of a circle is 4 ft. Find its area in terms of \piπ.

Ivanshal [37]

Answer:

4pi

Step-by-step explanation:

area of a circle is pi*r^2

and you have diameter of 4

so 4/2 gives radius which is 2

A = pi*2^2 = 4pi

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2 years ago

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A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

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3 years ago

Eben, an alien from the planet Tellurango, kicks a football from field level. The equation for the football’s height in meters,

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The maxima of a differential equation can be obtained by getting the 1st derivate dx/dy and equating it to 0.

Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative result in:

dh = - 4 t dt + 12 dt

dh / dt = 0 = - 4 t + 12 calculating for t:

t = -12 / - 4

t = 3 s

Therefore the maximum height obtained is calculated by plugging in the value of t in the given equation.

h = -2 (3)^2 + 12 (3)

h = 18 m

This problem can also be solved graphically by plotting t (x-axis) against h (y-axis). Then assigning values to t and calculate for h and plot it in the graph to see the point in which the peak is obtained. Therefore the answer to this is:

The ball reaches a maximum height of 18 meters. The maximum of h(t) can be found both graphically or algebraically, and lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball to reach maximum height, and the y-coordinate, 18, is the max height in meters.

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3 years ago

A circle has a radius of 20 centimeters and a central angle that measures 216 degrees. What is the length of the arc defined by

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Answer:4320cm

Step-by-step explanation:

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lengthof the arc=216×20

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2 years ago

Solve 6n - 2 - 3n = 16

Black_prince [1.1K]

9514 1404 393

Answer:

n = 6

Step-by-step explanation:

Add 2 and collect terms

3n = 18

Divide by 3

n = 6

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