Solve for the roots in simplest form using the quadratic formula:<br> x^2+14x=-94

In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included

hichkok12 [17]

Answer:

The statistic for this case would be given by:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

Step-by-step explanation:

Infromation provided

n=100 represent the random sample selected

X=18 represent the people who rates Pepsi as being "concerned with my health"

$\hat p=\frac{18}{100}=0.18$ estimated proportion of people who rates Pepsi as being "concerned with my health"

$p_o=0.1$ is the value that reference to compare

z would represent the statistic

Hypothesis to test

For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

The satistic for this one sample proportion test is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

7 0

3 years ago

40 POINTS!!!! Which sequence of transformations will result in an image that maps onto itself?

White raven [17]

Answer:

Option C.

Step-by-step explanation:

Let a point (x, y) has a sequence of transformations,

Option A).

Reflects across x-axis then the coordinates will be,

(x, y) → (x, -y)

Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, point (x, y) doesn't map onto itself.

Option B).

(x, y) rotate 90° counter clockwise about the origin.

(x, y) → (-y, x)

Then reflect across x-axis,

(-y, x) → (y, x)

Since coordinates of the image and the actual are not same therefore, image doesn't map itself.

Option C).

(x, y) when reflected across x-axis,

(x, y) → (x, -y)

Then reflected over the x-axis,

(x, -y) → (x, y)

In this option point (x, y) maps onto itself after these transformations.

Option D).

(x, y) rotated 90°counterclockwise about the origin

(x, y) → (-y, x)

Then translated up by 2 units.

(-y, x) → (-y, x+2)

Therefore, (x, y) gets changed after these transformations and doesn't maps itself.

Option (C) will be the answer.

7 0

3 years ago

Bayes' theorem provides a way to transform prior probabilities into posterior probabilities. Group of answer choices True False

Dvinal [7]

Answer:

True

Step-by-step explanation:

Bayes' theorem is indeed a way of transforming prior probabilities into posterior probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.

The prior probability in this theorem is the present understanding we possess about the possible outcome of an event based on the current understanding we have about the subject. Posterior probability on the other hand is the new understanding we have of the subject matter based on an experiment that has just been performed on it. Bayes' Theorem finds widespread application which includes the fields of science and finance. In the finance world, for example, Bayes' theorem is used to determine the probability of a debt being repaid by a debtor.

6 0

3 years ago

Find the surface area of the regular pyramid.

spayn [35]

Answer:

Answer = 93.6

Step-by-step explanation:

frist multipy 9 x 13 to get 117 than divided it by 2 = 58.5, than times it by 3 since there is three sides.

(58.5 x 3 is 175.5)

Than for the base multipy 7.8 x 9 = 70.2, but since its a tri, divided it by 2 = 35.1.

Add 58.5 and 35.1 to get 93.6

5 0

2 years ago

Read 2 more answers

the price of a 14 oz box of crackers is $2.94. the price of a 20 oz box is $3.60. what is the difference in price per ounce ?

solong [7]

Answer:

The difference in price per ounce of the boxes is $0.03 or 3 cents.

Step-by-step explanation:

Divide each dollar amount by the ounces. The answer to $2.94 divided by 14 is 21 cents. $3.60 divided by 20 is 18 cents. Subtract 18 cents from 21 cents to get 3 cents.

4 0

3 years ago

Read 2 more answers

Solve for the roots in simplest form using the quadratic formula: x^2+14x=-94