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kobusy [5.1K]
3 years ago
15

The Bureau of fisheries asked to find the shortest route for getting samples from location in a certain gulf. How many routes ar

e possible if samples must be taken at four locations from a list of 8 locations
Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

70 routes are possible

Step-by-step explanation:

Here, we want to find the number of possible routes

Since samples must be taken at four locations from a possible 8; then the number of possible routes will be 8 C 4

= 70 routes

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The sum of three consecutive multiples of 7 is 777 find these multiples
Rudik [331]

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

4 0
3 years ago
Read 2 more answers
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> 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 family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
PLEASE HELP!!<br>What is the sum of the measures of the exterior angles of this triangle?
RideAnS [48]

282

Step-by-step explanation:

C=180-112=68

A=180-68-51=61

sum of exterior angles=112+119+51=282

4 0
3 years ago
Mark got a loan of $77000 which he will complete repayment in
Evgesh-ka [11]

Answer:

A  =  $94652.66

Step-by-step explanation:

Use the compound amount formula   A = P(1 + r/n)^(nt), where r is the annual interest rate and n is the number of compounding periods per year.

Here, A = ($77000)(1 + 0.07/2)^(2*3), or

          A = $77000(1.035)^6, or

          A  =  $77000(1.229), or

           A  =  $94652.66

7 0
3 years ago
A man standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. One is at an angle of depressi
Ksivusya [100]

Answer:

125\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ABC find the length side BC

we know that

tan(62\°)=\frac{124}{BC}

BC=\frac{124}{tan(62\°)}

step 2

In the right triangle ABD find the length side BD

we know that

tan(33\°)=\frac{124}{BD}

BD=\frac{124}{tan(33\°)}

step 3

we know that

The distance between the two boats is the length side CD

CD=BD-BC

substitute the values  

CD=\frac{124}{tan(33\°)}-\frac{124}{tan(62\°)}=125\ ft

5 0
3 years ago
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