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KIM [24]
3 years ago
12

What’s the probability of getting a prime number and getting a vowel?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

First you need to know how many prime numbers are from 1 to 12.

Prime numbers: 2, 3, 5, 7, 11. There are 5 prime numbers.

The probability of getting a prime number would be 5/12.

Vowels from A to J would be A, E, I, so 3 vowels.

The probability of picking a vowel would be 3/10.

The probability of picking both would be 5/12 x 3/10 = 15 /120, which reduces to 1/8.

The answer is B.

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Solve d + (-d)<br><br> A. -2d<br> B. 0<br> C. d<br> D. 2d
I am Lyosha [343]

Answer:

B. 0

Step-by-step explanation:

=>d+(-d)

=>d-d

=>0

6 0
3 years ago
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An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1
Vlad [161]

Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

6 0
3 years ago
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board cou
motikmotik

Answer:

D.34

Step-by-step explanation:

Let's the A be the 20th board counting from the top of the stack, and B be the 16th board counting from the bottom of the stack. If A is immediately below B, this means B is the 19th board counting from the top of the stack, and also there are 18 other boards that are above B. So the total number of board in the stack would be

16 + 18 = 34

D is the correct answer

7 0
3 years ago
The sum of half of a number and 49is 2 whole 1/4 of the number. find the number
Mrac [35]

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

6 0
3 years ago
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Carter Motor Company claims that its new sedan, the Libra, will average better than 26 miles per gallon in the city. Use μ, the
Aleonysh [2.5K]

Answer:

The true average mileage of the Libra  Using Null hypothesis is as ;

H0:μ≤26

(Ha):μ >26

Step-by-step explanation:

Given:

Libra, will average better than 26 miles per gallon in the city

To Find:

Average mileage of the Libra.

Solution:

This problem is related to the null hypothesis  and alternate hypothesis.

i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.

<em>“reject H0” if the sample information favors the alternative hypothesis. </em>

<em>“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis</em>

So given that condition is libra will have average better than 26

So it will include 26 and above values .

i.e. True  condition is called as null hypothesis (H0)

so true average will be greater than 26

So H0:μ≤26

And the Alternate hypothesis will be the contradictory to true condition

(Ha):μ >26 .

7 0
3 years ago
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