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3 years ago

Please answer this question, it would be very helpful

Mathematics

1 answer:

Maru [420]3 years ago

8 0

Answer:

A. 450

Step-by-step explanation:

180 is 40% of the original

450*0.4=180

298*0.4=119.2

240*0.4=96

72*0.4=28.8

so A. 450 is correct

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The sum of two numbers is 48 . The larger number is 12 more than the smaller number. What are the numbers?

SSSSS [86.1K]

Answer:

Smaller is 18 and larger be 30

Step-by-step explanation:

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2 years ago

seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive

Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

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

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

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

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

$C_{10,7} = \frac{10!}{7!(3)!} = 120$

120 distinct results are possible if no child is to receive more than one gifts.

6 0

2 years ago

Which side of triangle DEF is shortest?

Stells [14]

Answer:

It would be the side opposite the smallest angle.

Side DE (which is opposite angle F) is the shortest.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I’ve got a couple trigonometry questions that I really need help on. I don’t understand them at all.

wel

Answer:

Q5. Option 1

Q7. Option 4

Step-by-step explanation:

Please see the attached pictures for full solution.

5 0

2 years ago

Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to

Tanya [424]

Answer:

0.2 ; 100 ; 4.84

Step-by-step explanation:

Given that the probability of each of the 5 groups is the same :

Sum of probability = 1

Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2

Expected number for each interval for a sample of 500 : ; X = 500

E(X) = X * P(x) = 500 * 0.2 = 100

Goodness of fit (X²) :

X² = Σ(X - E)² ÷ E

Groups :

113, 95, 108, 99, and 85

X : 113 ____ 95 ____ 108 ____ 99 _____ 85

(113 - 100)^2 / 100 = 1.69

(95 - 100)^2 / 100 = 0.25

(108 - 100)^2 / 100 = 0.64

(99 - 100)^2 / 100 = 0.01

(85 - 100)^2 / 100 = 2.25

(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84

7 0

2 years ago