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3 years ago

What is the measure of the secant AB

Mathematics

1 answer:

cricket20 [7]3 years ago

6 0

A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle than the measure of the angle is formed is one-half the positive difference of the measures of the intercepted arcs.

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Suppose that in one metropolitan area, 25% of all home- owners are insured against earthquake damage. Four home-owners are to be

emmasim [6.3K]

Answer:

Step-by-step explanation:

Given that,

25% home owners are insecure of earthquake problem

If we select 4 home owners at random

let X denote the number among the four who have earthquake insurance

Let find the probability distribution of X

Let S- denotes a home owner who has insurance

Let F denotes a home owner who does not have insurance.

Then, P(S) =25% = 0.25

P(F) = 1 — P(S) = 1 —0.25

P(F) = 0.75

The possible outcomes of X is

X(0) = If no person has insurance

X(1) = If only 1 person has insurance

X(2) = If only 2 persons has insurance

X(3) = If only 3 persons has insurance

X(4) = If only 4 persons has insurance.

The cardinality of the sample space is n(C) = 2ⁿ = 2⁴ => 16

So, the sample space is given as

{FFFF, FFFS, FFSF, FFSS, FSFF, FSFS, FSSF, FSSS, SFFF, SFFS, SFSF, SFSS, SSFF, SSFS, SSSF, SSSS}

For X=0, the possible is {FFFF} i.e. no insurance, the one without insurance.

P(X) = 0.25×0.25×0.25×0.25

P(X) = 0.25⁴

P(X) = 0.00390625

For X=1, the possible outcome are

FFFS, FFSF, FSFF, SFFF

P(X=1) = 0.25³•0.75 + 0.25³•0.75 + 0.25³•0.75 + 0.25³•0.75

P(X=1) = 0.046875

For X=2 the possible outcomes are

FFSS, FSFS, FSSF, SFFS, SFSF, SSFF,

P(X=2)=0.25²•0.75²+0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²

P(X=2) = 0.2109375

For X=3 the possible outcomes are

FSSS, SFSS, SSFS, SSSF

P(X=3) = 0.25•0.75³+0.25•0.75³+ 0.25•0.75³+0.25•0.75³

P(X=3) = 0.421875

X=4 the possible outcomes are

SSSS

P(X=4) = 0.75×0.75×0.75×0.75

P(X=4) = 0.31640625.

Using normal distribution

P(X=k) = ⁿCk • 0.25^k • 0.75^(4-k)

So,

P(X=0) = 4C0 • 0.25^0 • 0.75^4

P(X=0) = 0.31640625

P(X=1) = 4C1 • 0.25^1 • 0.75^3

P(X=1) = 0.421875

P(X=2) = 4C2 • 0.25^2 • 0.75^2

P(X=2) = 0.2109375

P(X=3) = 4C3 • 0.25^3 • 0.75^1

P(X=3) = 0.046875

P(X=4) = 4C4 • 0.25^4 • 0.75^0

P(X=4) = 0.00390625.

6 0

3 years ago

Select The decimal that is equivalent to 7/8

tatuchka [14]

Answer:

0.875

Step-by-step explanation:

look at the fraction as a division problem

8÷7

8 0

3 years ago

Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in

lutik1710 [3]

Answer: 12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together

$\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}$

i.e. $\dfrac{1}{t}=\dfrac{6-5}{12}$

i.e. $\dfrac{1}{t}=\dfrac{1}{12}$

i.e. t= 12

Hence, Francisco would take 12 hours to paint one room on his own.

8 0

3 years ago

Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *

mel-nik [20]

Answer:

Step-by-step explanation:

Write the equation

$\frac{3x-y}{3(x-y)}$

Add the variables

$\frac{3(5)-3}{3(5-3)}$

Multiply 3 x 5

$\frac{15-3}{3(5-3)}$

Subtract the parentheses

$\frac{15-3}{3(2)}$

Subtract the numerator

$\frac{12}{3(2)}$

Reduce the fraction with 3

$\frac{12}{3(2)} = \frac{4}{2}$

Reduce the fraction again with 2

$\frac{4}{2} = 2$

And there's your answer of 2!

5 0

3 years ago

Heme d hey the girl who helped me please hl

mestny [16]

Answer:

Parallel segments → 1

perpendicular segments → 2

congruent segments → 3

$---------$

hope it helps...

have a great day!!

5 0

3 years ago

Read 2 more answers