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pashok25 [27]
3 years ago
6

How to solve 5x-4y=7 2y+6x=22 as a system of equations

Mathematics
1 answer:
ira [324]3 years ago
5 0

Step-by-step explanation:

you subtract -4 by 7.

then you hav 5x=7

you divide 5x by 5 and seven by five so your x= that answer

then you put that number into the x in the second equtaion

then you subtract that number after multiplying the 6 by the number x equals

then you divide 2y by 2 and 22 by 2 and thats your y value

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Two pentagons are similar with a scale factor of 3/7
lions [1.4K]
16 feet because it’s 3/7 of it
3 0
3 years ago
During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for
AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is :  \hat p = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;

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

where, \hat p = sample proportion = 0.345

           n = sample of participants = 3532

           p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population​ proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level of

                                                         significance are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u>= [\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

    = [ 0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } } , 0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } } ]

    = [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0
3 years ago
Jim's monthly salary is $1,079.40. His monthly job hours are 140. What is his hourly rate of pay?
alex41 [277]

I'm guessing 7.71

Step-by-step explanation:

1,079.40/140

3 0
3 years ago
A standard six sided dice is rolled. What is te probability of rolling a 3 OR a 5
Vikki [24]

Answer:

1/3

Step-by-step explanation:

Rolling a die has the possible outcomes of 1,2,3,4,5,6 = 6 total

P(3 or 5) = number of  3 or 5's / total

              = 2/6

                = 1/3

5 0
3 years ago
Read 2 more answers
2. (-4) - 3- 1- 8<br><br> A) -10 <br><br> B)-16<br><br> C) -19 <br><br> D) -8
DedPeter [7]

Answer:

B) -16

Step-by-step explanation:

-4-3-1-8

subtract them all lol

7+9= 16

Then add the negative symbol

-16

7 0
3 years ago
Read 2 more answers
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