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3 years ago

Corey had 13 out of 15 answers correct on his math test.

Mathematics

1 answer:

jasenka [17]3 years ago

6 0

Answer:

Corey have a better score on his math test

Step-by-step explanation:

13/15 = 86%

17/20 = 85%

turn the scores into percentage and you will get the answer

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Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the

kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

45 boxes, which means that $N = 45$

22 have the secret decoder ring, which means that $k = 22$

Two boxes, which means that $n = 2$

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333$

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0

3 years ago

A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total

julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

6 0

3 years ago

The circumference of a circle with the radius being 12.5 ft

Georgia [21]

the circumference of a circle with the radius being 12.5 is C=78.54

8 0

3 years ago

at a summer camp there 50 girls out of 80 campers. What is the ratio written as a fraction in simplest form

gtnhenbr [62]

50:80

5:8 is your answer

hope this helps

4 0

4 years ago

Find the squares of (x+3)<br>

d1i1m1o1n [39]

Answer:

${x}^{2} + 6x + 9 \\$

Step-by-step explanation:

${(x + 3)}^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9 \\$

5 0

3 years ago