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larisa [96]
2 years ago
13

A city temperature is modeled as a normal random variable with mean and standard deviation both equal to 10 degrees Celsius. Wha

t is the probability that the temperature at a randomly chosen time will be less or equal to 15 degrees Celsius?
Mathematics
1 answer:
irina1246 [14]2 years ago
3 0

Answer: 0.6915

Step-by-step explanation:

Given : \text{Mean}=\mu=10^{\circ}C

\text{Standard deviation}=\sigma=10^{\circ}C

Since , the distribution follows a Normal distribution.

The formula to calculate the z-score is given by :-

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

For x=15^{\circ}C

z=\dfrac{15-10}{10}=0.5

The p-value = P(z\leq0.5)=0.6914625\approx0.6915

Hence, the required probability : 0.6915

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A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far
qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}

Hence, they will travel about 131.18 yards.

7 0
2 years ago
3.274 x 10^3 as an ordinary number
Alborosie

Answer:

327.4

Step-by-step explanation:

All you have to do to simplify a number written in scientific notation is to move the decimal place to the left (if the number is negative) and to the right (if the number is positive).

4 0
2 years ago
Read 2 more answers
RESTAURANT MANAGEMENT
yan [13]

Answer:

33%

Step-by-step explanation:

3 0
1 year ago
According to a report for veterinarians in the United States, 36.5 percent of households in the United States own dogs and 30.4
aleksandrvk [35]

Answer :E) Not enough information is given to determine the probability.

Step-by-step explanation:

Le A denotes the event that households in the United States own dogs .

and B denotes the event that households in the United States own cats.

As per given , we have

P(A)=36.5%= 0.365

P(B)=30.4% = 0.304

To find the probability that the selected household will own a dog or a cat, we apply the following formula :

P(A or B)=P(A)+P(B)+P(A and B)

But P(A and B) is not given to us.

i..e the probability that a house hold own both a cat and adg is not given to us.

Therefore, The correct option is (E) Not enough information is given to determine the probability.

3 0
1 year ago
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers. If
saul85 [17]

The answer is 4 if you divide it


8 0
2 years ago
Read 2 more answers
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