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3 years ago

6

Ursula pulled her classmates to see what their favorite kinds of juice were.Eight times as many students voted for grape and ora

nge. Forty three students voted for orange. How many students voted for grape?

1 answer:

ohaa [14]3 years ago

6 0

You have to do 43 times 8 which is 344 students :)

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$= \frac{(-395+5)(-395-5-4)}{2.(-4)} \\ \\ \\=-19695 \\ \\ \\ Good Luck:))$

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3 years ago

What does it mean to have a market cap?

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3 years ago

Help!! I'll give points if anybody can answer these for me!

galina1969 [7]

Transformation involves changing the position of a shape.

The transformation from $\triangle ABC$ to $\triangle A'B'C'$ is 90 degrees clockwise rotation

Using the coordinates of A and A', we have:

$A= (-6,3)$

$A'= (3,6)$

Notice that the x-coordinate is <em>negated </em>and then <em>swapped </em>with the y-coordinate.

i.e.

$(x,y) \to (y,-x)$

The transformation of a point from <em>(x,y) to (y,-x)</em> is a 90 degrees clockwise rotation.

Hence, the transformation from $\triangle ABC$ to $\triangle A'B'C'$ is 90 degrees clockwise rotation

Read more about transformations at:

brainly.com/question/13801312

6 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago