A line with a slope of -3 that passes through the point (-2, 6)

Sam rolled a die 75 times. On 39 of those rolls, he had a 6. Which statement is TRUE when the probabilities are compared?

svetlana [45]

Answer:

D)The experimental probability is greater than the theoretical probability

Step-by-step explanation:

Given:

75 times a die is rolled out of 39 times it got 6

To Find :

Which statement is true?

Solution:

The theoretical probability is given by the ,

Pt=No.of favorable outcomes/Total outcomes

Here favorable is getting 6 on the die

so how many times we can get 6 =1 time

Total outcomes =6

Pt=1/6

Pt=0.1667

Now for

The experimental Probability ,

Pe=Number times that event occur /Total no of trails

Here 39 times we get 6 and total no trails are 75

Pe=39/75

Pe=0.52

Hence we can say that Pe>Pt.

8 0

3 years ago

Read 2 more answers

Congruent triangle measures.

Charra [1.4K]

Answer:

3x=4x-9(By CPCT)

x=9

Therefore,sides are27

5 0

2 years ago

NC Check-Ins 2 Math Grade 7 - NC Check-In 2- 2020-21 - Form 5657

sveticcg [70]

Answer:

33

Step-by-step explanation:

Given that :

Card numbered from: 500 - 799

The required number of values must meet both conditions 1 and 2

Condition 1 : first of the 3 digits is odd :

500 - 599 = 100

700 - 799 = 100

(100 + 100) = 200 cards

Condition 2: three digits is divisible by 6

{500 - 599} and {700 - 799}

The numbers divisible by 6 are 33

7 0

3 years ago

Which sentence explains the correct first step in the solution of this equation? 4(x−3)=9

kodGreya [7K]

Answer:

You will do the Distributive Property first.

Step-by-step explanation:

You will do the Distributive Property first.

4(x - 3) = 9 distribute the 4 into the x and -3.

4x - 12 = 9 add -12 to both sides.

4x = 21 divide 4 on both sides.

x = 5.25 is your answer.

4 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago