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2 years ago

When a die is thrown once whay is the probability of getting multiple of 3

Mathematics

2 answers:

kiruha [24]2 years ago

4 0

Answer:

I think the answer is 25%

Step-by-step explanation:

ki77a [65]2 years ago

3 0

Answer:

Step-by-step explanation:

there are 2 multiple of 3 on the die 3 and 6 and there are 6 sided to a dice so the answer is 2/6

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The Salk polio vaccine experiment in 1954 focused on the effectiveness of the vaccine in combating paralytic polio. Because it w

sdas [7]

Answer:

Step-by-step explanation:

Hello!

The variables of interest are:

X₁: Number of cases of polio observed in kids that received the placebo vaccine.

n₁= 201299 total children studied

x₁= 110 cases observed

X₂: Number of cases of polio observed in kids that received the experimental vaccine.

n₂= 200745 total children studied

x₂= 33 cases observed

These two variables have a binomial distribution. The parameters of interest, the ones to compare, are the population proportions: p₁ vs p₂

You have to test if the population proportions of children who contracted polio in both groups are different: p₂ ≠ p₁

H₀: p₂ = p₁

H₁: p₂ ≠ p₁

α: 0.05

$Z= \frac{(p'_2-p'_1)-(p_2-p_1)}{\sqrt{p'[\frac{1}{n_1} +\frac{1}{n_2} ]} }$

Sample proportion placebo p'₁= x₁/n₁= 110/201299= 0.0005

Sample proportion vaccine p'₂= x₂/n₂= 33/200745= 0.0002

Pooled sample proportion p'= (x₁+x₂)/(n₁+n₂)= (110+33)/(201299+200745)= 0.0004

$Z_{H_0}= \frac{(0.0002-0.0005)-0}{\sqrt{0.0004[\frac{1}{201299} +\frac{1}{200745} ]} }= -4.76$

This test is two-tailed, using the critical value approach, you have to determine two critical values:

$Z_{\alpha/2}= Z_{0.025}= -1.96$

$Z_{1-\alpha /2}= Z_{0.975}= 1.96$

Then if $Z_{H_0}$ ≤ -1.96 or if $Z_{H_0}$ ≥ 1.96, the decision is to reject the null hypothesis.

If -1.96 < $Z_{H_0}$ < 1.96, the decision is to not reject the null hypothesis.

⇒ $Z_{H_0}$ = -4.76, the decision is to reject the null hypothesis.

H₀: p₂ = p₁

H₁: p₂ ≠ p₁

α: 0.01

$Z= \frac{(p'_2-p'_1)-(p_2-p_1)}{\sqrt{p'[\frac{1}{n_1} +\frac{1}{n_2} ]} }$

The value of $Z_{H_0}$ = -4.76 doesn't change, since we are working with the same samples.

The only thing that changes alongside with the level of significance is the rejection region:

$Z_{\alpha /2}= Z_{0.005}= -2.576$

$Z_{1-\alpha /2}= Z_{0.995}= 2.576$

Then if $Z_{H_0}$ ≤ -2.576or if $Z_{H_0}$ ≥ 2.576, the decision is to reject the null hypothesis.

If -2.576< $Z_{H_0}$ < 2.576, the decision is to not reject the null hypothesis.

⇒ $Z_{H_0}$ = -4.76, the decision is to reject the null hypothesis.

Remember the level of significance (probability of committing type I error) is the probability of rejecting a true null hypothesis. This means that the smaller this value is, the fewer chances you have of discarding the true null hypothesis. But as you know, you cannot just reduce this value to zero because, the smaller α is, the bigger β (probability of committing type II error) becomes.

Rejecting the null hypothesis using different values of α means that there is a high chance that you reached a correct decision (rejecting a false null hypothesis)

I hope this helps!

8 0

3 years ago

“on the following checking account record, enter the figures and add or subtract them to keep the running total correct”

oksano4ka [1.4K]

The running total is $95.27.

There are two types of records, Active and Inactive. There are also two major classifications, Vital and Important.

<h3>Why is record keeping important?</h3>

In order to create reliable financial statements, you need good records. These consist of balance sheets and income (profit and loss) statements. These statements might assist you in managing your business and dealing with your bank or creditors.

He opened the account with $299.88. He subsequently wrote many cheques, from which you deduct the sum of 299,88.

He deposited a check, thus 299.88-90.48= 209.40, 209.40 - 65.00= 144.40, and then he added $381.33 to 144.40 to get 525.73.

then you need to deduct more since he wrote more checks.

Consequently, 525.73-54.47=471.26, and 471.26-375.99=95.27, giving him a balance of $95.27.

Good Records entail documents comprising recorded data that show the efficacy of the quality management system, independent of the format or feature.

To learn more about record keeping refer to:

brainly.com/question/25132652

#SPJ13

6 0

6 months ago

Read 2 more answers

Line segment ______ is part of Line _______. Point _____ is the vertex of angle PQR

Elodia [21]

Answer:

3rd

Step-by-step explanation:

I think thats how u fill it

6 0

1 year ago

Write an algebraic expression for "21 less than a number divided by 4<br> ."

Anna35 [415]

(x-21)/4
x is the number subtract 21 and divide by 4

4 0

3 years ago

Read 2 more answers

Lian invested an amount of money at an interest rate of 5.2% per year.

Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be 5.2% of amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x (1)

But , it is given in one year she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with 5.2% of $x , we have

5.2% of x = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus, amount of money Lian invested is $6500.

7 0

2 years ago