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3 years ago

The point (-6, y) lies on the graph of the equation: 5y=2x−4.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

8 0

Answer:

The value of y is - $\frac{16}{5}$ ⇒ answer B

Step-by-step explanation:

- If a point lies on the graph of an equation, then it must to satisfy the

equation

- That means when you substitute the coordinates of the point in the

equation the left hand side will equal the right hand side

- The point (-6 , y) lies on the graph of the equation 5 y = 2 x - 4

- We need to find the value of y-coordinate of the point

- To do that substitute the value of x-coordinate of the point in the

equation

∵ 5 y = 2 x - 4

∵ x = - 6

∴ 5 y = 2(-6) - 4

- Multiply 2 by - 6

∴ 5 y = - 12 - 4

- Add like terms in the right hand side

∴ 5y = - 16

Divide both sides by 5

∴ y = - $\frac{16}{5}$

The value of y is - $\frac{16}{5}$

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Whats 24/6- 4/2 whats the answer dawg

aleksandrvk [35]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

ANSWER ASAP ITS FOR FINALS

Roman55 [17]

Answer:

9. 66°

10. 44°

11. $2\sqrt{7}$

12. $2\sqrt{3}$

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = $\sqrt{28}$

a = $2\sqrt{7}$

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = $\sqrt{12}$

a = $2\sqrt{3}$

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = $\frac{20}{x}$

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = $\frac{x}{18}$

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

8 0

3 years ago

Which angle must also measure 85°? _2 _5 _11 _12

Semmy [17]

_11 is the answer Fr

6 0

3 years ago

According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College

sineoko [7]

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is 10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589 0.2793344

sample estimate

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

5 0

3 years ago

I’m so confused. can someone please help

lilavasa [31]

Answer:

k = - 6

Step-by-step explanation:

Given a function f(x), then a horizontal translation parallel to the x- axis is denoted by

f(x + k)

If k > 0 then shift of k units left

If k < 0 then shift of k units right

Here the shift is 6 units to the left, from 4 to - 2, hence

k = 6

3 0

4 years ago