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Juli2301 [7.4K]
3 years ago
13

Math. Find Mid point and fx​

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

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Where is the point (-1,5) located on the coordinate plane?
weqwewe [10]
The point (-1, 5) is located here:

Yes, I did draw that in paint just for you.

3 0
4 years ago
Read 2 more answers
Pls help on #7 I will give brainiest ! 7th grade level
valentina_108 [34]

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

4 0
2 years ago
Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer d
Alexxx [7]

Answer:

\chi^2 =\frac{35-1}{9} 2.12^2 =16.979

p_v =P(\chi^2

If we compare the p value and the significance level provided we see that p_v so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=35 represent the sample size

\alpha=0.01 represent the confidence level  

s =2.12 represent the sample deviation obtained

\sigma_0 =3 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is lower than 9 and the deviation lower than 3, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 9

Alternative hypothesis: \sigma^2

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

\chi^2 =\frac{35-1}{9} 2.12^2 =16.979

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case df= n-1= 35-1=34. And since is a left tailed test the p value would be given by:

p_v =P(\chi^2

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(16.979,34,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that p_v so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

6 0
3 years ago
Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y
harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

                              y

p(x,y)                   0               1                                 2                g(x)

x    0           0.025              0.015                       0.010            0.05

1                  0.050            0.030                        0.020           0.1  

2                   0.115             0.075                        0.050           0.24

3                  0.150              0.090                      0.060             0.3

<u>4                   0.100             0.060                     0.040              0.2 </u>

h(y)              0.325              0.27                       0.18  

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

       = ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

        = 0 + 0.1+ 0.48 + 0.9+0.8

        =2.28

E(Y)= ∑yi h(y)

      = (0* 0.325) + (1*0.27) + (2*0.18)    

       = 0 +0.27+ 0.36

        = 0.63

E (x+Y) = E(X) +E(Y)

             = 2.28 + 0.63

                = 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

                   = 3(2.28) + 10 (0.63)

                       = 6.84 +6.3

                         = 13.14

Expected revenue from the single trip is $ 13.14

5 0
3 years ago
Plz help me on this
bearhunter [10]
First differences are 2, 4, 8, 16, which is a geometric sequence. The parent function is not linear (constant first difference) or quadratic (first difference increases by the same amount from one to the next). When the first differences are a geometric sequence, the underlying sequence is a geometric (exponential) sequence.

1st blank: exponential

Translation up adds a constant to each of the f(x) values.

2nd blank: f(x)
3rd blank: increased by 5<span>

For the last blank, you're looking for an (x, f(x)) pair that is translated to (x, f(x)+5).

4th blank: </span><span>(2, 16)</span>






3 0
3 years ago
Read 2 more answers
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