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lapo4ka [179]
3 years ago
9

Solve for x and y: 3x + 7y= 22 123 + 28y = 88

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

1.

2.

Step-by-step explanation:

1. Since this is a equation we know we have to get the variables to one side and the constants/rational numbers to the other. So you take 7y and you add -7y. You do that to the other side which will give you -4y=22. Since we cant have a negative variable, you flip the y to positive and flip the constant to negative leaving you 4y=-22. Then you distribute y leaving you y=-5.5

2.since we know the constants must be on 1 side of the equal sign, we subtract 123 on both sides, leaving us with 28y=-35. Distribute y and you get y=-0.8

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The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16
dusya [7]

Answer:

F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

p_v =2*P(F_{15,15}>2.2)=0.138

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

n_1 = 16 represent the sampe size 1

n_2 =16 represent the sample 2

s^2_1 = 2.5 represent the sample deviation for 1

s^2_2 = 5.5 represent the sample variance for 2

\alpha=0.10 represent the significance level provided

The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

The statistic is given by:

F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

p_v =2*P(F_{15,15}>2.2)=0.138

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

5 0
3 years ago
HELLLLPPPPPLPPOOLL no fake answers pls
stepan [7]

Answer:

x = 11

Step-by-step explanation:

(3x + 28) + (5x + 52) + ( 2x - 10) = 180

(3x + 5x + 2x) + (28 + 52 - 10) = 180

10x + 70 = 180

10x = 180 - 70

10x = 110

x = 11

6 0
3 years ago
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1/2 x 2/4 x 3/6 x 4/8 x 5/10 x 6/12 simplified
Talja [164]

Answer: 3

Step-by-step explanation: Because, 1/2=2/4=3/6=4/8=5/10=6/12 are all the same. You can test is out by simply factoring out the biggest factor on both sides. For example, 2/4 can be simplified to 1/2, because 2/4=(2/2)/(4/2) you can divide both sides by two. Hope this helps, <3!

8 0
3 years ago
I'm trying to figure this out, but I can't get it
Katen [24]

Answer:

\sqrt{16 {r}^{6} } \\ ( \sqrt{16 {r}^{6} } )^{2} \\ (4 {r}^{3} )

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1/3 is your answer......
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