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Inessa [10]
3 years ago
5

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If xis

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

x+y=24

3x + 5y = 100

Rewrite the first equation: x = 24-y

Replace x in the second equation and solve:

3(24-y) +5y = 100

72-3y +5y = 100

72 +2y = 100

2y = 28

y = 14

Y is the number of 5 point questions, so there are 14 5 point questions.

The answer would be:

The test contains 10 three-point questions and 14 five-point questions.

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Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?
Natalka [10]

Answer:

A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).

Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)

Hope this helps!

:)

6 0
3 years ago
Which of the following situations provides the strongest evidence that a coin is NOT fair?
Kamila [148]

Answer:

D

Step-by-step explanation:

A coin has two sides. A side tagged the head and the order side tagged the tail.

By mathematical and probabilistic standards, a fair coin is a coin which has equal value of probabilities for head turning up as well as tail turning up.

what we are saying here is that for a fair coin, P(H) = P(T) = 0.5 or 1/2

Any option or value short of this will make the coin unfair. Whenever we are having the probability of the head greater than the probability of the tail or vice versa, then the coin in question has become unfair.

Now back to the options, by observation, expressing each of the options to the smallest numbers will yield 7/10.

Let’s have a decimal value of each go drive home the point;

7/10 = 0.7

70/100 = 0.7

700/1000 = 0.7

Thus the probability of the head which is meant to be 0.5 is now given as 0.7 which shows that the coin is unfair in all three options since in the real sense they are all same numbers written in different form which of course is not the 0.5 value we should have for a fair coin for probability of getting a head

8 0
2 years ago
I really need help with this please help best aswer gets brainliest
svet-max [94.6K]

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}

The total frequency of the given data is 6+8+4+2+5+2

Total\ Frequency = 27

The class with lower limit 27 has a frequency of 2;

Hence;

Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency} becomes

Relative\ Frequency = \frac{2}{27}

Relative\ Frequency = 0.07407407407

Relative\ Frequency = 0.0741 (Approximated)

You may also leave your answer in percentage form

Relative\ Frequency = 0.0741 * 100\%

Relative\ Frequency = 7.41 \%

Hence, the relative frequency is 7.41% or 0.0741

7 0
3 years ago
Read 2 more answers
A pound of fertilizer covers 42 square feet of lawn. Vivian Bulgakov’s lawn measures 8720.1 square feet. How much fertilizer, to
vazorg [7]
Answer: 8,762.1 . The nearest tenth of a pound should be 2, the decimal throwing me off
5 0
2 years ago
Marissa rode her bike to the oark and back home. She lives 2 3/10 miles from the park . How many miles did Marissa ride her bike
Oduvanchick [21]

will she would have rode 4 3/5 miles in all.

2 3/10+2 3/10=4 3/5

that is 2 3/10 there and 2 3/10 back so you would add that together.

MILES IN ALL 4 3/5

Hope this helps

3 0
2 years ago
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