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Murrr4er [49]
3 years ago
15

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to y from the first equation is substituted into the second equation. 15x − y = −6 5x − 3y = −13 5(−15x − 6) − 3y = −13 5(15x + 6) − 3y = −13 5x − 3(15x + 6) = −13 5x − 3(−15x − 6) = −13
Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
15x - y = - 6.....15x + 6 = y...so we sub in 15x + 6 in for y on the other equation

5x - 3y = -13
5x - 3(15x + 6) = -13 <== the new equation
o-na [289]3 years ago
3 0

Answer:

Hence, the resultant equation will be:

5x −3(15x + 6) = −13

Step-by-step explanation:

We are given a system of linear equations such that the first equation is given by:

15x − y = −6------(1)

and the second equation is given by:

5x − 3y = −13----------(2)

If you were to use the substitution method to solve the following system the new equation after the expression equivalent to y from the first equation is substituted into the second equation will be given by:

consider equation (1)

15x − y = −6------(1)

find the expression in terms of x.

i.e. 15x+6=y---(A)

substitute this equation into equation (2) to obtain:

5x − 3(15x + 6) = −13

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Which expression is equal to (7 times 2)times 2
Lady bird [3.3K]
The answer is 28. 7x2=14 and then 14x2=28. Remember PEMDAS
7 0
3 years ago
The area of a pizza is 220 square centimeters .
Zanzabum
Area of pizza = pi × r^2
pi × r^2 = 220 Sq. cm
22/7 × r^2 =220
r^2 = 220 × 7/22
r^2 = 70
r = square root of 70
r = 8.36

therefore , radius of the pizza is 8.36 cm


(please do mark as brainliest)
7 0
3 years ago
There are 96 children in a room.
Olenka [21]

Answer:

7/12

Step-by-step explanation:

Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.

5 0
2 years ago
In a simple random sample of 14001400 young​ people, 9090​% had earned a high school diploma. Complete parts a through d below.
ratelena [41]

Answer:

(a) The standard error is 0.0080.

(b) The margin of error is 1.6%.

(c) The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d) The percentage of young people who earn high school diplomas has ​increased.

Step-by-step explanation:

Let <em>p</em> = proportion of young people who had earned a high school diploma.

A sample of <em>n</em> = 1400 young people are selected.

The sample proportion of young people who had earned a high school diploma is:

\hat p=0.90

(a)

The standard error for the estimate of the percentage of all young people who earned a high school​ diploma is given by:

SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

Compute the standard error value as follows:

SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

       =\sqrt{\frac{0.90(1-0.90)}{1400}}\\

       =0.008

Thus, the standard error for the estimate of the percentage of all young people who earned a high school​ diploma is 0.0080.

(b)

The margin of error for (1 - <em>α</em>)% confidence interval for population proportion is:

MOE=z_{\alpha/2}\times SE_{\hat p}

Compute the critical value of <em>z</em> for 95% confidence level as follows:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the margin of error as follows:

MOE=z_{\alpha/2}\times SE_{\hat p}

          =1.96\times 0.0080\\=0.01568\\\approx1.6\%

Thus, the margin of error is 1.6%.

(c)

Compute the 95% confidence interval for population proportion as follows:

CI=\hat p\pm MOE\\=0.90\pm 0.016\\=(0.884, 0.916)\\\approx (88.4\%,\ 91.6\%)

Thus, the 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d)

To test whether the percentage of young people who earn high school diplomas has​ increased, the hypothesis is defined as:

<em>H₀</em>: The percentage of young people who earn high school diplomas has not​ increased, i.e. <em>p</em> = 0.80.

<em>Hₐ</em>: The percentage of young people who earn high school diplomas has not​ increased, i.e. <em>p</em> > 0.80.

Decision rule:

If the 95% confidence interval for proportions consists the null value, i.e. 0.80, then the null hypothesis will not be rejected and vice-versa.

The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

The confidence interval does not consist the null value of <em>p</em>, i.e. 0.80.

Thus, the null hypothesis is rejected.

Hence, it can be concluded that the percentage of young people who earn high school diplomas has ​increased.

8 0
3 years ago
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressio
Nady [450]

Answer:

The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30

Step-by-step explanation:

Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).

To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.

Substituting 2 to the first expression gives:

-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18

Substituting 2 to the second expression gives:

-12(2) - 6 = -24 - 6 = -30

Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.

7 0
3 years ago
Read 2 more answers
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