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nika2105 [10]
3 years ago
5

Refer to the park map and check all that apply.

Mathematics
2 answers:
galben [10]3 years ago
8 0

Answer:

the answer is <u>a, c, </u><u>and </u><u>d</u>

Step-by-step explanation:

lisov135 [29]3 years ago
4 0

Answer:

Its a,c,d

Step-by-step explanation:

I just answered and got it wrong from the first guy to answer this question. it showed the correct answers on my screen after getting it wrong so the correct answers are a,c,d.

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The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab
GarryVolchara [31]

Using the normal distribution, the probabilities are given as follows:

a) 0.6517 = 65.17%

b) 0.0823 = 8.23%.

c) 0.6109 = 61.09%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 8.9, \sigma = 2.8

Item a:

The probability is the <u>p-value of Z when X = 10</u>, hence:

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

Z = \frac{10 - 8.9}{2.8}

Z = 0.39

Z = 0.39 has a p-value of 0.6517.

0.6517 = 65.17% probability that the time is less than 10 minutes.

Item b:

The probability is the <u>one subtracted by the p-value of Z when X = 5</u>, hence:

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

Z = \frac{5 - 8.9}{2.8}

Z = -1.39

Z = -1.39 has a p-value of 0.0823.

0.0823 = 8.23% probability that the time is more than 5 minutes.

Item c:

The probability is the <u>p-value of Z when X = 15 subtracted by the p-value of Z when X = 8</u>, hence:

X = 15:

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

Z = \frac{15 - 8.9}{2.8}

Z = 2.18

Z = 2.18 has a p-value of 0.9854.

X = 8:

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

Z = \frac{8 - 8.9}{2.8}

Z = -0.32

Z = -0.32 has a p-value of 0.3745.

0.9854 - 0.3745 = 0.6109 = 61.09%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

5 0
2 years ago
Complete the steps to find the area of the kite. What is GE? Square root of units What is DF? Square root of units What is the a
gregori [183]
320
80
80
Thats what it is on edg
4 0
4 years ago
Read 2 more answers
0.9 _ 0.023 _ 3 over 20 _ 5 over 6 rename each as a percent
astraxan [27]
The first one would be 90%. the second one would be 2.3%. the third one would be 150%. and the final one will be 83.3333%.
5 0
3 years ago
que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo
nirvana33 [79]

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

3 0
3 years ago
A young boy has 40 total pets. He has two different types of pets. He has cats and penguins. The total number of the heads of hi
Nina [5.8K]

Answer:

He has 30 penguins and 10 cats.

Step-by-step explanation:

Let's define the variables:

C =  number of cats.

P = number of penguins.

We know that he has a total of 40 pets, then:

C + P = 40

We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)

Then we have the equation:

40 + 2*P = 4*C + 2*P

Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:

(40 + 2*P) - 2*P = 4*C + 2*P - 2*P

40 = 4*C

Now with this, we can find the value of C.

40/4 = C = 10

Then he has 10 cats.

Now we can replace this in the equation:

P + C = 40

to find the value of P

P + 10 = 40

P = 40 - 10 = 30

P = 30

He has 30 penguins.

3 0
3 years ago
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