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4vir4ik [10]
3 years ago
13

2x-y=-10 y=4 what is the solution

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

Answer:

x=-3

y=4

Step-by-step explanation:

2x-y=-10

y=4

Substitute y = 4 into the first equation

2x-(4) = -10

2x -4 = -10

Add 4 to each side

2x-4+4 = -10+4

2x = -6

Divide each side by 2

2x/2 = -6/2

x =-3


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Samuel has 3/4 ton of mulch to spread equally in 8 square yards. How many tons of mulch will be spread in each square yard
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Answer:

0.09375 tons

Step-by-step explanation:

In this problem, it is given that Samuel has 3/4 tons of mulch i.e. 0.75 tons of mulch.

Again it is given that Samuel has to spread equally this amount of mulch in 8 square yards of the plot.

Since the mulch is spread uniformly, then we can say that in each square yard of the plot (0.75/8) = 0.09375 tons of mulch is been spread.

Therefore, 0.09375 tons of mulch will be spread in each square yard. (Answer)

6 0
3 years ago
Which points are generated by the function y = -5x + 2? Check all that apply. (2, 8) (2, -8) (13, 3) (3, -13)
Zanzabum
(2,-8) (3,-13) because if you plug them all in there the only ones that come out right 

4 0
3 years ago
Read 2 more answers
Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

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

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
What is the slope of the line through the points (2, 5) and (6, 13)?
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3 years ago
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Marysya12 [62]

Answer:

Step-by-step explanation:

Passed Percentage= (9/20) * 100 = 9 * 5  = 45%

7 0
3 years ago
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