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3 years ago

A single ticket to the fair costs $8. A family pass costs $25 more than half of that. How much does a family pass cost?

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Just do 8 divided by two and then add 25 to that and you get that answer which is $29

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Which of the following represents the sum of the polynomials below?

zysi [14]

Answer:

Step-by-step explanation:

First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)

$6x^3+(-2x^3)+2x^2+5x^2+9x+3x$

Combine like terms:

(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)

$6x^3+(-2x^3)= > 6x^3-2x^3=4x^3$

$2x^2+5x^2=7x^2$

$9x+3x=12x$

So, we get $4x^3+7x^2+12x$

3 0

1 year ago

An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that

3241004551 [841]

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

7 0

3 years ago

Set X consists of 100 numbers. The average (arithmetic mean) of set X is 10, and the standard deviation is 4.6. Which of the fol

kompoz [17]

Answer:

E. 10 and 10

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the distribution.

Here, since standard deviation is the ratio of the distance from the mean and sample size. So for decreasing the standard deviation we should keep numerator constant and increasing the denominator.

This can be only possible in option (E).

Hence, only Option (E) is correct.

5 0

3 years ago

PLS HELP WILL GIVE BRAINLIEST TO FIRST ANSWER Faye used a stopwatch to find that in 352 minutes, she read 88 pages. Measured in

pshichka [43]

It took her 240 seconds to read one page

7 0

3 years ago

Triangle m is similar to triangle n. Triangle m has two angles with measures of 32 degrees and 93 degrees. Which two angle measu

Ray Of Light [21]

We know that

If two triangles are similar the corresponding angles must be congruent.
therefore
triangle N must have an angle of 32° and 93°

the answer is
angle measure of 32° and angle measure of 93°

3 0

3 years ago