At what point on the curve y=x^4 does the normal line have slope 16?

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

3 years ago

Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for TT.)

Advocard [28]

Answer:

pi r squared divided by 2 for the half circle then add the area of the box to you number and there is your area

3 0

2 years ago

Explain why 13233345364715 is a composite no.

rodikova [14]

Answer:

A composite number has more than two factors. In this case, the number 13233345364715 has more than two factors, so it is composite.

Step-by-step explanation:

Numbers can be classified as prime or composite. Prime numbers have only two factors, 1 and the number itself. For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13. However, a composite number has more than two factors. In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5. To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.

6 0

3 years ago

(10 POINTS AND BRAINLIEST)

bekas [8.4K]

Answer:

A.) 15.60=11.40+10x

Step-by-step explanation:

okay we know kathy spent 15.60 in total at the post office

so we know 15.60 will be after the equal sign.

she paid 11.40 only on the package

and rest of money was on stamps.

15.60-11.40= 4.20

so she used 4 dollars and 20 cents for stamps if she bought 10 we need to divied 4.20/10=0.42

0.42 cents for each stamps so we need a equation that will give us this answer.

Me i go thru each one and solve for x

lucky for me i just need to solve one

because equation A solves it correctly.

15.60=11.40+10x

subtract 11.40 on both sides

15.60-11.40

4.20=10x

now we divide 10 on each side

4.20/10=0.42

x=0.42

5 0

3 years ago

Read 2 more answers

A receptionist named Eve spends 5minutes routing each incoming phone call. In all,how many phone calls does Eve have to route to

Sati [7]

7, because 35 divided by 5=7

5 0

3 years ago

Read 2 more answers