The hypotenuse is always located across from the right angle, A. True B. False

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw

iren2701 [21]

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is $\frac{2}{5}$ .

Step-by-step explanation:

It is provided that:

Eric throws a biased coin 10 times. He gets 3 tails.
Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

$P(\text{Tail})=\frac{3}{10}$
$P(\text{Tail})=\frac{20}{50}=\frac{2}{5}$

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

$P(\text{Tail})=\frac{20}{50}=\frac{2}{5}$

Thus, the probability that Aadi will get Tails is $\frac{2}{5}$ .

7 0

4 years ago

Read 2 more answers

How many nanoseconds are in 5 kiloseconds?

Zielflug [23.3K]

Answer:

5.0E + 12

Step-by-step explanation:

I don't do conversions but i tried my best to help

8 0

3 years ago

Can someone help me with this ?

navik [9.2K]

Answer:

SSS --> SAS --> AAS --> SAS --> HL --> SSS --> ASA --> AAS --> HL --> SAS --> HL

Step-by-step explanation:

To do this problem, look at the angles that are marked congruent as well as the sides. Then look at the order that the angles and sides are placed. If it is SSS, then that means three sides are marked congruent. SAS means the order of the side and angles would be side then angles then another side. AAS means angle then angle then side. HL is when you have a right triangle and one of the legs are congruent as well as the hypotenuse. ASA means an angle then side then another angle.

3 0

3 years ago

The pyramid shown has a square base that is 18 inches on each side. It has a surface area of 864 square inches. What is the slan

disa [49]

The first step is to find the relationship between the square base and the surface area.

Surface area (SA) = area of the square (SS) + area of triangles.4(AT)

Thus we can conclude area of triangles 4(AT) = SA - SS = 864 - (18*18)

4(AT) = 864 - 324 = 540

Each triangle = 540/4 = 135 square in.

An area of one triangle (AT)= (base* slant height)/2

The base = 18 in.

slant height = 2(AT)/base = 2(135)/18 = 15

3 0

4 years ago

Solve and show the steps to the picture attached

lina2011 [118]

Answer:

The image of point (2, 4) after transformation is (-2, 13) ⇒ D

Step-by-step explanation:

Let us revise some transformation

Translation right-left OR up-down

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by h

If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by h

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by k

If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by k

A vertical stretching and a vertical compression (or shrinking)

If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by m

If 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by m

Let us use these rules to solve the question.

∵ Point (2, 4) lies on y = x²

∵ The image of y = x² is y = 3(x + 4)²+1

→ The rules of transformation is y = m(x + h)² + k

∵ m is the scale factor of a vertical stretched

∵ m = 3

→ By using the 5th rule above

∴ The y-coordinate of point (2, 4) should multiply by 3

∴ The image of the point is (2, 4 × 3) = (2, 12)

∵ h is the horizontal translation to the left

∵ h = 4

→ By using the 2nd rule above

∴ The x-coordinate of point (2, 12) should subtract by 4

∴ The image of the point is (2 - 4, 12) = (-2, 12)

∵ k is the vertical translation up

∵ k = 1

→ By using the 3rd rule above

∴ The y-coordinate of point (-2, 12) should add by 1

∴ The image of the point is (-2, 12 + 1) = (-2, 13)

∴ The image of point (2, 4) after transformation is (-2, 13)

3 0

3 years ago