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3 years ago

How do I solve this? I feel like I'm over thinking everything. thanks.

Mathematics

2 answers:

sesenic [268]3 years ago

7 0

Equation: 26=6(5−4f)

Step 1: Simplify both sides of the equation.

26=6(5−4f)

26=(6)(5)+(6)(−4f)(Distribute)

26=30+−24f

26=−24f+30

Step 2)Flip the equation.

−24f+30=26

Step 3)Subtract 30 from both sides.

−24f+30−30=26−30

−24f=−4

Step 4) Divide both sides by -24.

-24/-24f=-4/-24

f=1/6

podryga [215]3 years ago

5 0

1. 26= (30 - 24 F)

Subtract 30 on both sides

-4 = -24 F

Divide -24 on both sides

F= .166667

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What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction

tester [92]

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

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StartFraction 24 Over 65 EndFraction

4 0

3 years ago

Let x be 3 <br> 4 + x + x + x = ?

IRINA_888 [86]

Answer:

Step-by-step explanation:

We replace each X with a 3, so

4 + 3 + 3 + 3

which equals to 13

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3 years ago

What is the area of a triangle whose side is 17 meters long

Lunna [17]

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: $a^{2} +b^{2} =c^{2}$

$17^{2} -8.5^{2} = 216.75$

$\sqrt{216.75}$ = 14.72243186

Now, we use another formula to find the area of the triangle: $\frac{Base*Height}{2}$

14.72243186 × 17 = 250.2813416

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3 years ago

The scores on a placement test given to college freshmen for the past ﬁve years are approximately normally distributed with a me

Masteriza [31]

Answer:

And on this case we have a 0.0303% of chance that the sample variance would be higher than 20. So on this case its not reasonable that the sample variance would be higher than 20.

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"

$n=20$ represent the sample size

$s^2 =20$ represent the sample variance obtained

$\sigma^2 =8$ represent the population variance

We can calculate the probability that $S^2$ would be higher than 20 and we will have an idea how to solve the problem.

For this case we can use the following statistic:

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

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

$\chi^2 =\frac{20-1}{8} 20 =47.5$

Calculate the probability

We can calculate the probability that $S^2$ would be higher than 20. The degrees of freedom are given by n-1=20-1=19

$P(S^2 >20) =P(\chi^2_{19} >47.5)=0.000303$

And hte reason of this is this one:

$P(S^2 >20)= P(\frac{\chi^2 \sigma^2}{n-1}>20)=P(\chi^2 >\frac{20(n-1)}{\sigma^2})=P(\chi^2 >\frac{20*19}{8})=P(\chi^2 >47.5)$

In order to calculate this probability we can use the following code in excel:

"==1-CHISQ.DIST(47.5,19,TRUE)"

And on this case we have a 0.0303% of chance that the sample variance would be higher than 20. So on this case its not reasonable that the sample variance would be higher than 20.

5 0

4 years ago

Please help me answer this.

nevsk [136]

Answer:

do u have it yet?

Step-by-step explanation:

8 0

3 years ago