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2 years ago

HELP ME SOLVEEEE !!!!!

Mathematics

2 answers:

Stels [109]2 years ago

7 0

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

y-9y=-9-7

-8y=-16

y=2

kykrilka [37]2 years ago

4 0

<h2>>> Answer </h2>

_________

$\:$

$\frac{1}{3} (y + 7) = 3(y - 1)$

$\frac{y + 7}3 = 3(y - 1)$

$y + 7 = 9(y - 1)$

$y + 7 = 9y - 9$

$y - 9y = - 9 - 7$

$- 8y = - 16$

y = 2✔

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two angles are supplementary one angle measures 75% more than twice the measure of the other what are the measurement of the two

valkas [14]

Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.

Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).

We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.

Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.

(3.5y) + y = 180

Combine like terms.

4.5y = 180

Divide by 4.5

y = 40

Plug y = 40 in and solve for x.

x + 40 = 180

x = 140

The answer is 40 and 140. Hope this helps :)

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3 years ago

A used car dealer sells SUVs and cars. Of all the vehicles, 90% are cars. Of all the vehicles 40% are red cars. What is the prob

AleksAgata [21]

Answer:

44.4%

Step-by-step explanation:

To calculate this, we proceed as follows.

we use the probability equation below;

P(A|B) = P(A and B) / P(B)

Applying the above to the scenario at hand;

P(red | car) = P(red and car) / P(car)

P(red and car) = 40% or simply 40/100 = 0.4

P(car) = 90% = 90/100 = 0.9

P(red | car) = 0.4/0.9

P(red | car) = 0.4444 which is = 44.44% ; to the nearest tenth of a percent = 44.4%

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Answer:you multiply the decimal by the number behind the decimal

Step-by-step explanation:

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The volume of a cone is 28.26cm cubed. The radius and height of the cone are equal. What is the radius of the cone? Use 3.14 for

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Answer:

Step-by-step explanation:

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3 years ago

The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15%

vagabundo [1.1K]

Answer:

1) $\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313$

2) $p_v =P(\chi^2_{3}>16.313)=0.000978$

And we got the same decision reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts

The Chi-Square test of independence is used "to determine if there is a significant relationship between two nominal (categorical) variables". And is defined with the following statistic:

$\chi^2 =\sum_{i=1}^n \frac{(O-E)^2}{E}$

Where O rpresent the observed values and E the expected values.

State the null and alternative hypothesis

Null hypothesis: The distribution is 30% catfish, 15% bass, 40% bluegill, and 15% pike

Alternative hypothesis: The distribution is NOT 30% catfish, 15% bass, 40% bluegill, and 15% pike

The observed values are given by the table given:

Catfish =112, BAss = 95, Bluegill=210, Pike=83

Calculate the expected values

In order to calculate the expected values we can use the following formula for each cell of the table

$E = \% Grand total$

$E_{Catfish}=500*0.3=150$

$E_{Bass}=500*0.15=75$

$E_{Bluegill}=500*0.4=200$

$E_{Pike}=500*0.15=75$

Part 1: Calculate the statistic

$\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313$

$\chi^2 =16.313$

Calculate the critical value

First we need to calculate the degrees of freedom given by:

$df= (categories-1)=(4-1)= 3$

Since the confidence provided is 95% the significance would be $\alpha=1-0.95=0.05$ and we can find the critical value with the following excel code: "=CHISQ.INV(0.95,3)", and our critical value would be $\chi^2_{crit}=7.815$

We can calculate also the p value:

$p_v =P(\chi^2_{3}>16.313)=0.000978$

And we got the same decision reject the null hypothesis at 5% of significance.

5 0

3 years ago