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Jet001 [13]
2 years ago
5

What is the length of YZ in XYZ

Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

AZ=12 - is hypotenuse

∠XZY=30° ⇒

XY=\dfrac{1}{2} \times12=6

\text{By the Pythagorean theorem}\\YZ=\sqrt{12^2-6^2} =\sqrt{(12-6)(12+6)} =\sqrt{6\times18} =\sqrt{108} =6\sqrt{3}

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Answer:

B

Step-by-step explanation:

Since p and v vary inversely then the equation relating them is

p = \frac{k}{v} ← k is the constant of variation

to find k use the condition p = 8 when v = 40

k = pv = 8 × 40 = 320

⇒ p(v) = \frac{320}{v} → B


7 0
3 years ago
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What is the radius of a circle if the area is 78.5 cm^2
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78.5= (3.14)r^2
25=r^2
5=r
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3 0
3 years ago
In a recent survey, 72 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries.
kupik [55]

Answer:

a) P=0.03

b) α=0.05

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d) 100

e) 0.72

Step-by-step explanation:

a) The P-value is the probability of the sample result. In this case the P-value is 0.03.

b) The level of significance is the threshold of probabilty for the null hypothesis to be reejcted or not. It is contrasted with the P-value to know if the effect is significant. In this case, the level of significance is 0.05.

NOTE: if it is a two-side test, the level of significance is 0.1 (two times 0.05).

c) The sample proportion is the one that results from the sample data. In this case, the sample proportion is 0.72.

p=72/100=0.72

d) The sample size is the amount of consumers reported. In this case is 100 customers.

e) The null value is 0.72 (equal to the sample proportion), because it is tested if there is no difference between the population proportion and the sample proportion.

3 0
3 years ago
Amy plays a game with an ordinary, fair dice.
rjkz [21]

Answer:

Ok so I’m stuck with this question too But I got the top part.

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8 0
2 years ago
Explain how to factor when the leading coefficient is 1.
Bas_tet [7]

Answer:  C) Find the factors of c that add up to b.

==============================================

Explanation:

If we want to factor something in the form x^2+bx+c, then we look for two numbers that

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  • Add to b

-------------

Let's look at a specific example

Consider factoring x^2+5x+6

We need to find two numbers that...

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Through trial and error, you should find the two numbers to be 3 and 2. This means it factors to (x+3)(x+2). The order of the factors doesn't matter.

You can use the FOIL rule or the box method to expand out (x+3)(x+2). You should get x^2+5x+6 again.

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2 years ago
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