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3 years ago

Helpppp know!!!! It’s math and it is genmontry

Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

Answer:

Part 7) Adjacent angles

m<SUR and m<RUN

m<TUP and m<PUQ

Part 8) Vertical acute angles

m<SUR and m<PUQ

m<RUN and m<TUP

Part 9) Supplementary angles

m<SUT and m<TUQ

m<SUR and m<QUR

Part 10) $m$

Part 11) m<RUQ is greater than m< TUR

Part 12) $x=21\°$

Part 13) $m$

Step-by-step explanation:

Part 7) we know that

we know that

Two angles are Adjacent when they have a common side and a common vertex

In this problem

m<SUR and m<RUN ----> are adjacent angles

because have a common side UR and a common vertex U

m<TUP and m<PUQ ----> are adjacent angles

because have a common side UP and a common vertex U

Part 8) we know that

An angle is acute when is measure is less than $90$ degrees

Vertical Angles are the pair of congruent angles opposite each other when two lines cross

In this problem

$m$ ------> by vertical angles

Part 9) we know that

Two angles are supplementary if its sum is equal to $180$ degrees

In this problem

$m$ ------> by supplementary angles

Part 10) Find m<QUR

we know that

$m$ ------> by supplementary angles

we have

$m$

substitute

$41\°+m$

$m$

Part 11) which is greater m<TUR or m< RUQ

we know that

m<TUR=m<TUS+m<SUR

substitute the values

$m$

$m$ ----> see the procedure problem 10

therefore

m<RUQ is greater than m< TUR

Part 12) Find the measure angle x

$4x=84\°$ ------> by vertical angles

solve for x

$x=84\°/4=21\°$

Part 13) m<KMH

we know that

$m$ -----> by supplementary angles

$m$

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goblinko [34]

Answer:

58 minutes.

Step-by-step explanation:

From the question, Karen worked on the model in two windows;

1) 11.13 AM - 11.54 AM = 41 minutes

2) 1.29 PM - 1.46 PM = 17 minutes.

Hence, the total amount of time Karen spent working on the Shuttle model is:

41minutes + 17minutes = 58 minutes.

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3 years ago

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counse

pychu [463]

Answer:

a) $P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

b) $E(X) = np = 4*0.75=3$

c) $Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

d) $P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=4, p=1-0.25=0.75)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

Part b

The expected value is givn by:

$E(X) = np = 4*0.75=3$

Part c

For the standard deviation we have this:

$Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

Part d

For this case the sample size needs to be higher or equal to 9. Since we need a value such that:

$P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

We can verify this using the following code:

"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.

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3 years ago

What is 7 × 0.057 equal

Daniel [21]

Answer:

0.399

Step-by-step explanation:

3 4

0.057

x 7

_________

0.399

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4 years ago

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Pls help I won't be able to watch you tube this summer. Select all the common denominators for 1/4 and 7/10. Explain.

stepan [7]

The common denominators of ¹/₄ and ⁷/₁₀ are; 20 and 40

<h3>How to find the denominator?</h3>

The numerator of a fraction is the top value while the denominator of a fraction is the value at the bottom.

Now, we want to find the common denominator of ¹/₄ and ⁷/₁₀.

The common denominator can't be less than 4 or 10 and so has to be at least two terms that are divisible by 4 and 10. The next two common denominators that are greater than 10 but divisible by both 4 and 10 are 20.

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2 years ago

If -2 is added to a number and the sum is doubled, the result is -15 less than the number.

VMariaS [17]

The required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number. This can be obtained by assuming the number as x, converting the given conditions to algebraic expression, forming algebraic equation and solving for x.

<h3>Find the required number:</h3>

Here in the question it is given that,

-2 is added to a number

The sum is doubled

The result is -15 less than the number

We have to find the required number.

Let the required number be x.

⇒ -2 is added to the number ⇒ -2 + x

⇒ the sum is doubled ⇒ 2(-2 + x)

⇒ the result is -15 less than the number ⇒ 2(-2 + x) = x -(-15)

2(-2 + x) = x + 15

⇒ - 4 + 2x = x + 15

⇒ x = 19

Hence the required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number.

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2 years ago