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shtirl [24]
3 years ago
6

Eliminate y to solve for x. Plug in x into the second equation to solve for why

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
9x+y=2
-4x-y=-17
Elimination
5x=-15
Divide both sides by 5
x=-3
Find y now
plug x into either equations
-4(-3)-y=-17
multiply -4 to -3
12-y=-17
subtract both sides by 12
-y=-29
divide both sides by negative 1
y=29
Solution = (-3,29)
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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0
3 years ago
Help!! Please im having trouble
bekas [8.4K]

Answer:

1.  5/6 ≥ 2/3

2. 1/5 ≤ 2/8

3. 9/10 ≥ 6/8

4. I can't see it's out of the pic

5. 7/8 ≥ 5/10

6. 2/5 ≥ 2/6

7. 1/3 ≤ 3/8

8. I can't see it's out of the pic.

9. 8/10 ≥ 3/4

10. 3/8 ≤ 11/12

11. 2/3 ≤ 10/12

12. Can't see :(

13. 3/8 ≤ 7/8

14. 2/4 = 4/8

15. 6/8 ≥ 8/12

16. Can't see

Step-by-step explanation: All you have to do is divide the numerator by the denominator to make it into a decimal. For instance....

5/6 = approximately 0.83

I hope this helps you! It took forever....



3 0
3 years ago
what is poetry 30 points! and brainly if u give an good answer like (example) : A writing that describes the way people feel BUT
inysia [295]
Poetry is a type of literature, or artistic writing, that attempts to stir a reader’s imagination or emotions.
3 0
3 years ago
The difference of the quotient m and 9 and the quotient of n and 30
Zanzabum
Answer: (30m-9n)/270

First we start with m/9-n/30.

We multiply the denominators to get 270.

Then we multiply the numerators by the original denominators to get (30m-9n).

To check, we can use m=2, and n=4

2/9-4/30=4/45

(30*2-9*4)/270=24/270=4/45
5 0
3 years ago
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