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3 years ago

Why is the measure angle of y

Mathematics

1 answer:

Nataly [62]3 years ago

8 0

Step-by-step explanation:

x + x + x = 90°

3x = 90°

x = 90/3 = 30

x = 30°

now,

apply angle sum property to find the value of y

as, x = 30

so,

30 + 90 + y = 180

120 + y = 180

y = 180 - 120 = 60

y = 60° ans.

therefore, option B is correct

hope this answer helps you!

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A company's old antacid formula provided relief for 70% of the people who used it. The company tests a new formula to see if it

klemol [59]

Answer:

No, we can only say there is 27% chance of seeing the observed effectiveness from natural sampling variation. There is no evidence the new formula is more effective but we cannot conclude equal effectiveness.

Step-by-step explanation:

Hello!

The company compared the old antiacid formula against the new one. The claim is that the new formula is more effective.

The hypotheses are

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

Where the subfix 1 represents the new formula and the subfix 2 represents the old formula.

The statistical analysis threw a p-value of 0.27.

Remember if the p-value ≥ α, n the decision is to not reject the null hypothesis.

If p-value < α, the decision is to reject the null hypothesis.

Let's say α: 0.1 ⇒ you'd decide to not reject the null hypothesis.

Then there would not be enough evidence to say the new formula is better than the old one (μ₁ > μ₂) instead you'd conclude that the new formula is at most as effective as the old one (μ₁ ≤ μ₂). To know if it is equally effective as the old one or less effective a new test should be made.

In simple words, the p-value is the probability of obtaining the value of the statistic under the null hypothesis. In this case, there is a 27% of possibility of observing the effectiveness of the new antiacid formula from a sampling error than because the new antiacid formula is, in fact, effective.

I hope it helps!

6 0

4 years ago

A student claims that -4i is the only imaginary root of a quadratic polynomial equation that has real coefficients.

slava [35]

Step-by-step explanation:

Complex roots or imaginary roots must come in conjugate pairs. If -4i is a root, that means 4i is also a root.

A possible polynomial is:

y = (x + 4i) (x − 4i)

y = x² − 16i²

y = x² + 16

7 0

3 years ago

A square has a perimeter of 12 cm. do you know its area

Anvisha [2.4K]

Answer:

9 cm^2

Step-by-step explanation:

If the perimeter of the square is 12 cm, then the length of ONE side is (1/4) of that, or 3 cm.

The area of this square is A = s^2, where s is the length of one side.

Here we have A = (3 cm)^2 = 9 cm^2.

6 0

3 years ago

Read 2 more answers

9x-9=27 help me with this

Ray Of Light [21]

Answer:

x=4

Step-by-step explanation:

9x-9=27

Add 9 to each side

9x-9+9=27+9

9x = 36

Divide by 9

9x/9 = 36/9

x = 4

8 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to for

anygoal [31]

Answer:

i) A. 180º rotation about the origin, ii) $Q' = (4, 5)$ .

Step-by-step explanation:

i) In this case, we understand that vertex $P = (-5,-3)$ changed to $P' = (5,3)$ after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem: