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larisa [96]
3 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]3 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

You might be interested in
Ibuki factored 12x^7as (4x^3)(3x^4)
Marina86 [1]

Answer:

Both are correct.

Step-by-step explanation:

The key understanding here is that you can factor a monomial in many different ways!

To check if any of the factorizations is correct, we can multiply the factors and see if their product is really 12x^712x

7

12, x, start superscript, 7, end superscript.

Hint #22 / 4

\begin{aligned} (\blueD{4}\maroonD{x^3})(\blueD{3}\maroonD{x^4})&=(\blueD{4})(\blueD{3})(\maroonD{x^3})(\maroonD{x^4}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}

(4x

3

)(3x

4

)

​

 

=(4)(3)(x

3

)(x

4

)

=12x

7

​

So Ibuki is correct!

Hint #33 / 4

\begin{aligned} (\blueD{2}\maroonD{x^6})(\blueD{6}\maroonD{x})&=(\blueD{2})(\blueD{6})(\maroonD{x^6})(\maroonD{x}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}

(2x

6

)(6x)

​

 

=(2)(6)(x

6

)(x)

=12x

7

​

So Melodie is also correct!

Both Ibuki and Melodie are correct.

8 0
3 years ago
a vendor bought n dozen eggs at the rate of 22.6 of the rotating he sold the remaining acts at the rate of 2.50 per act find his
babymother [125]

Answer:

Your question was a bit confusing so I found another related question. You can reference it with your own details.

A vendor bought 10 dozen eggs at the rate of Rs 22 per dozen. Six of the eggs were rotten. He sold the remaining eggs at the rate of Rs 2.50 per egg . Find his profit or loss

Vendor bought 10 dozen eggs which means the vendor bought:

= 10 * 12 eggs

= 120 eggs

6 were rotten and he sold the rest for Rs. 2.50 per egg.

= (120 - 6) * 2.5

= Rs. 285

The amount he spent on the eggs was:

= 10 dozen * 22

= Rs. 220

Profit = 285 - 220

= Rs. 65

7 0
3 years ago
Find the product of<br>the sum of<br>3/5 and 1%<br>and​
dybincka [34]

Answer:

3/500

Step-by-step explanation:

3/5 x 1%

=> 3/5 x 1/100

=> 3/500

Hope it helps you

8 0
3 years ago
Arianna runs up 4 flights of stairs then runs down 4 flights of stairs. Does this situation represent additive inverses
dexar [7]

Answer:

Yes because she ends up back at zero

8 0
2 years ago
Mr. Garcia is spreading mulch in his yard he spreads 3 square yards and 40 minutes how many square yards can he mulch in 1 hour
Verdich [7]

Answer:

Step-by-step explanation:

3 over 2/3 → 3/1 divided by 2/3  → 3/1  x 3/2 (do keep change flip)

once you multiply you'll get 9/2.

4 0
2 years ago
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