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lyudmila [28]
3 years ago
11

HELP PLEASE I DON'T UNDERSTAND

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

Answer:

Step-by-step explanation:

First thing you need to do is to check if the sample data has also that 40% cycling boys, since the information you are given is not exact is "about 40%".

I did it counting in excel so not to miscount by accident, and the result was 54 numbers bellow 4 and 150 total numbers.

That comes down to 54/150 or 0.36, so in this particular set of data only 36% of the boys commute by cycle.

Now, this gives us a probability of 36% of finding a boy who commutes by bicycle on the first pick, but we want to know the probability of 3 failures and then a success. This is represented by p=0.36 and q=0.64, where q is the probability of failure on the first try.

This means that the event will occur on the first trial with probability p. If that fails, then it will occur on the next trial with a probability of (1−p)p or q*p. If that also fails, then continuing on, the probability of the event happening on the third trial is (1-p)^{2}p or q^{2} p.  If we go on and on we can see that the probability of the first success on the nth trial is (1-p)^{n}p or q^{n}p. If n=4 then the probability would be:

P=q^{4}p=0.64^{4} *0.36=0.1678*0.36=0.0604

P=6.04%

Leno4ka [110]3 years ago
5 0
If I counted correctly, the answer would be 52/150. You just need to simplify the fraction. I'll recount soon, and update if it changes.
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Please help me with this question, i’ve been stuck on it for a while. Answer Part A and Part B.
tankabanditka [31]

Answer:

Part A:  5 1/3 + b = 9

Part B:  11/3 of bushels or 3.7 or 3 2/3

Step-by-step explanation:

Part A is simple because 5 1/3 apples plus the leftover must equal 9.  So 5 1/3 + b = 9

Part B is also pretty easy because all you need to do is subtract 5 1/3 apples from 9 to find what b is.

b = 9 - 5 1/3

b = 27/3 - 16/3

b = 11/3

7 0
3 years ago
Steven's savings account switches from compounding interest annually to quarterly. His account earns 3% interest yearly. Steven
V125BC [204]

Answer:

$0.95 more.

Step-by-step explanation:

The principal of $500, when invested at APR of 3% for 5 years compounded annually will become

S_1 = 500(1 + \frac{3}{100})^{5} = 579.64 dollars.

Again, the principal of $500, when invested at APR of 3% for 5 years compounded quarterly will become

S_2 = 500(1 + \frac{3}{100 \times 4})^{5 \times 4} = 580.59 dollars.

Therefore, Steven will have $(580.59 - 579.64) = $0.95 more money in his account due to switching from annually to quarterly compounding. (Answer)

8 0
3 years ago
Given the following diagram, if m∠1 = m∠4, then all of the following must be complementary angles except
sukhopar [10]

The answer is : angles 2 and 3

6 0
3 years ago
Read 2 more answers
Simplest radical form​
Anton [14]

Answer:

Step-by-step explanation:

A(7,1), B(5,-6)

(AB)² = (-6-1)² + (5-7)² = 53

AB = √53

3 0
3 years ago
Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h
irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = <u><em>population proportion.</em></u>

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, H_0 : p = 0.70      {means that the population proportion is equal to 0.70}

Alternate Hypothesis, H_A : p < 0.70      {means that the population proportion is less than 0.70}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                           T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion = 0.63

            n = sample of observations = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }

                                     =  -1.528

The value of z-test statistics is -1.528.

<u>Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.</u>

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

4 0
3 years ago
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