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2 years ago

15

Mrs. Moore has 98 pieces of candy to split among s students. Which expression shows how many pieces of candy each student will r

eceive?

1 answer:

Nimfa-mama [501]2 years ago

6 0

Answer:
I'm assuming that the s stands for 5 so it would be 19.6
Step-by-step explanation:

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A recipe for brownies calls for 1/8 cup of sugar and the recipe makes 12 brownies what fraction of a cup is in each brownie? THA

denis23 [38]

Answer: $\frac{1}{96}$

Step-by-step explanation:

( $\frac{1}{8}$ )/12

Divide the fraction $\frac{1}{8}$ by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.

I inserted an image on how to use this method.

Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use $\frac{12}{1}$ .

$\frac{1}{8}/\frac{12}{1}$

= $\frac{1}{8}$ × $\frac{1}{12}$ Multiply the denominators and numerators

= $\frac{1}{96}$

7 0

3 years ago

The probability that a single radar station will detect an enemy plane is 0.65.

taurus [48]

Answer:

a) We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

b) If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

Step-by-step explanation:

For each station, there are two two possible outcomes. Either they detected the enemy plane, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem, we have that:

The probability that a single radar station will detect an enemy plane is 0.65. This means that $n = 0.65$ .

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

This is the value of n for which $P(X = 0) \leq 0.02$ .

n = 1.

$P(X = 0) = C_{1,0}.(0.65)^{0}.(0.35)^{1} = 0.35$

n = 2

$P(X = 0) = C_{2,0}.(0.65)^{0}.(0.35)^{2} = 0.1225$

n = 3

$P(X = 0) = C_{3,0}.(0.65)^{0}.(0.35)^{3} = 0.0429$

n = 4

$P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015$

We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?

The expected number of sucesses of a binomial variable is given by:

$E(x) = np$

So when $n = 7$

$E(x) = 7*(0.65) = 4.55$

If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

6 0

2 years ago

What's the percentage of change from 20 is decreased to 11

Reil [10]

Answer:

The percentage is 45 percent.

Step-by-step explanation:

3 0

3 years ago

the volume of a cylinder is given by the formula v=3.14r^2h, where r is the radius of the cylinder and h is the height. suppose

photoshop1234 [79]

we know that

The volume of a cylinder is given by the formula

$V=3.14 r^{2} h$

where

r is the radius of the cylinder

h is the height of the cylinder

in this problem

$r=x+8\\h=2x+3$

Substitute the values in the formula above

$V=3.14*(x+8)^{2}*(2x+3)$

$V=3.14*(x^{2}+16x+64)*(2x+3) \\ V=3.14 *(2x^{3} +3x^{2} +32x^{2} +48x+128x+192)\\ V=3.14*(2x^{3} +35x^{2} +176x+192)$

therefore

<u>the answer is</u>

The volume of the can is equal to

$V=3.14 *(2x^{3} +35x^{2} +176x+192)\ units ^{3}$

5 0

3 years ago

12. Find the area of triangle ABC.<br> OK

kherson [118]

Where is the picture lolzzzzz

5 0

3 years ago