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VARVARA [1.3K]
2 years ago
10

Find the value of X in the triangle shown.

Mathematics
1 answer:
zalisa [80]2 years ago
7 0
X = 12

Use the Pythagorean Theorem.
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtract 25 from both sides.
144 = x^2
Take the square root.
12 = x
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In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
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Answer:

0.017559

Step-by-step explanation:

Data provided:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = \sqrt{\frac{p_0(1-p_0)}{n}}

or

SE = \sqrt{\frac{0.76(1-0.76)}{225}}

or

SE = 0.02847

and,

Z=\frac{p-p_0}{SE}

or

Z=\frac{0.82-0.76}{0.02847}

or

Z = 2.107

therefore,

P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table

we get

P(sample porportions < 0.82) =  0.017559

6 0
2 years ago
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Sedaia [141]

x^6 + 10ax^3 + 2ax^3 + 20a^2

(x^3 + 10a)(x^3 + 2a)

answer:  (x^3 + 10a)(x^3 + 2a)

Hope it helps :)

8 0
2 years ago
Which purchase may people be required to save a small amount of money invested regularly that grows over time?
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A ?Or b I’m not really sure
3 0
2 years ago
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A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a
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Answer: R(x) = 0.25x + 500

Flat fee is computed by:

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The buyer paid $3,000, so the flat fee was included there.

So, $3,000 - $2,500 = $500

So the flat fee was $500.

~

The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included

So the function describing the revenue of the tile from this sale is:

R(x) = 0.25x + 500

8 0
3 years ago
3feet to 8yards what is the simplist fraction
poizon [28]
8yards=24ft
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hope this helps
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