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tekilochka [14]
3 years ago
13

A scale for a map states that 2 inches equals 25 miles. If the distance from Dallas to Houston on the map is 19.2 inches, what i

s the actual distance, in miles, between Dallas and Houston? ***Set up a PROPORTION*
Mathematics
2 answers:
Feliz [49]3 years ago
6 0

Answer:

240

Step-by-step explanation:

\frac{inches}{miles}\\\frac{2}{25}=\frac{19.2}{?}

When doing proportions you multiply the numerator of  one  fraction by the denomenator of the other. Here the available pair is 19.2 and 25. This means that we multiply 19.2 by 25, which equals 480. The next step is to divide by the remaining numerator or denomenator. Here we divide 480 by 2, which equals 240.

USPshnik [31]3 years ago
4 0

Answer:

240

Step-by-step explanation:

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Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. 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.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

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

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
Two grocery stores charge amounts for Henry’s favorite olives mangio’s pounds:3 4 5 6
NISA [10]

Answer:

$6 per pound

Step-by-step explanation:

If you do 3 x 6 you get 1, 4 x 6 is 24, 5 x 6 is 30, 6 x 6 is 36. Those are the numbers that they cost. If this helped please consider giving it brainliest.

- •Trix•

( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't)

8 0
2 years ago
Hi can someone help me with this
WINSTONCH [101]

Answer:

86 degrees

Step-by-step explanation:

180 - (74 + 20) = 86

5 0
3 years ago
Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia
Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 75, \sigma = 12.5

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.

X = 81

Z = \frac{X - \mu}{\sigma}

Z = \frac{81 - 75}{12.5}

Z = 0.48

Z = 0.48 has a pvalue of 0.6844

X = 69

Z = \frac{X - \mu}{\sigma}

Z = \frac{69 - 75}{12.5}

Z = -0.48

Z = -0.48 has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

3 0
3 years ago
Read 2 more answers
Ive been doing this for 20 minutes now please help!!! I will give you brainliest if you give an actual answer!! SHOW YOUR WORK S
yanalaym [24]

Answer:

v= 3

Step-by-step explanation:

-19 + v = -8 ( v - 1 )

multiply -8(v - 1)= -8v + 8

-8v + 8v and then add the v with the +8v

Subtract -19 +19 and add the +19 with the +8= 27

27 divided by 9= 3

6 0
3 years ago
Read 2 more answers
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