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3 years ago

Please help!! What is the value of x??

Mathematics

1 answer:

alexira [117]3 years ago

4 0

Answer:

x = 58°

Step-by-step explanation:

angle formed by Tangent and secant: (far arc - near arc) / 2

(160 - x) / 2 = 51

160 -x = 102

x = 160 - 102 = 58°

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Find the equation of the line shown.

kirza4 [7]

Answer:

see below

Step-by-step explanation:

From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.

7 0

4 years ago

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, of all homeowners are insured

ANTONII [103]

Missing part of the question

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................

Answer:

$P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}$

$Mean = 1$

$Pr = 0.2617$

Step-by-step explanation:

Given

$n = 4$

$p = 25\%$

Solving (a): The probability distribution of x

We have:

$n = 4$

$p = 25\%$ $= 0.25$

The probability of not having earthquake insurance (q) is:

$q = 1 - p$

$q = 1 - 0.25$ $= 0.75$

If x has insurance, then n - x do not.

The distribution follows a binomial pattern. So, the probability distribution is:

$P(X = x) = ^nC_x * 0.25^x * 0.75^{n-x}$

Substitute 4 for n

$P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}$

Solving (b): The most likely value of x i.e. The mean

We have:

$n = 4$ and

$p = 25\%$ $= 0.25$

$Mean = np$

$Mean = 4 * 0.25$

$Mean = 1$

Solving (c): At least 2 of 4 selected have earthquake insurance.

This is calculated as

$Pr = P(x = 2) + P(x = 3) + P(x = 4)$

$P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}$

$P(X=2) = ^4C_2 * 0.25^2 * 0.75^{4-2}$

$P(X=2) = 6 * 0.25^2 * 0.75^2 = 0.2109375$

$P(X=3) = ^4C_3 * 0.25^3 * 0.75^{4-3}$

$P(X=3) = 4 * 0.25^3 * 0.75 = 0.046875$

$P(X=4) = ^4C_4 * 0.25^4 * 0.75^{4-4}$

$P(X=4) = 1 * 0.25^4 * 1= 0.00390625$

So:

$Pr = P(x = 2) + P(x = 3) + P(x = 4)$

$Pr = 0.2109375 + 0.046875 + 0.00390625$

$Pr = 0.26171875$

$Pr = 0.2617$ --- approximated

6 0

4 years ago

DAS)

seropon [69]

Answer:

Que estas como por que nada

Step-by-step explanation:

buenos nochas

3 0

3 years ago

Melinda worked 6.5 hours at her job. She makes $9.50 per hour. How much money did she earn for the day ?

Lera25 [3.4K]

Answer:

$61.75

Step-by-step explanation:

Hello,

If Melinda earns $9.50 per hour and she worked 6.5 hours, then her earnings for that day was $61.75.

This is simply the product of $9.50 * 6.5 = $61.75.

This assumption of earnings doesn't include tax reductions, unless her hourly pay includes those.

Cheers.

8 0

4 years ago

Find the value of m if 13m + 24m = 41m<br>

grigory [225]

Answer:

m=0

Step-by-step explanation:

Add

13m

and

24m

.37

41m

Move all terms containing m

to the left side of the equation.

6 0

2 years ago