A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180

Answer:

First question: Choice A

second question:Choice D

Third question: Choice c

Fourth question: Choise b

5th Question: choice b

Answer:

242 inches²

Step-by-step explanation:

area = (1/2) · (p + q) · h (trapezoid formula)

(1/2)(13+24)(4)= 74

area= bh (rectangle)

(24)(7)= 168

168+74= 242

Answer:

123 km/h

Step-by-step explanation:

the formula for the unit rate would be 82/40

82 divided by 40 is 2.05km/m

Then you have to convert 2.05 km/m to km/h

multiply 2.05 times 60 and your answer is 123 km/h

Answer: 123 km/h

Step-by-step explanation:

Answer:

1. -13

2. 36

3. -2

4. -.5

5. -6x

6. -216cm

Answer:

The answer is D.

Answer:

a

Step-by-step explanation:

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Sampling with replacement:

I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]

We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so [tex]N = 200[/tex]

Sample of 4, so [tex]n = 4[/tex]

50 are black, so [tex]k = 50[/tex]

We want P(X = 2).

[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Answer:

25

Step-by-step explanation:

I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25

150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts

The concept used to solve the problem is conversion:

The conversion factor that 1 gallon is equal to 4 quarts.

Given that,

Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.

Packaging: Pack 24 quarts of oil in a case to ship to a store.

Tank Capacity: The oil tank is full and has a capacity of 150 gallons.

Convert the measurements to a common unit.

Since we have to fill quart-size bottles,

Convert 150 gallons to quarts.

Since 1 gallon is = 4 quarts,

So 150 gallons would be 150 x 4 = 600 quarts.

To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.

To find the number of cases,

Divide the total number of quarts by the number of quarts per case:

600 quarts ÷ 24 quarts/case

= 25 cases.

Therefore,

You can get 25 full cases of oil from a full 150-gallon oil tank.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ4

Answer:

0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines

Step-by-step explanation:

Given

[tex]R\ squared = 0.451751[/tex]

To predict: Gini by year

Required

Interpret the R squared

In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.

In this question, the variable to predict is Gini:

From the list of options, (c) is correct

Answer:

24

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Answer:

2x+y=0

Step-by-step explanation:

Answer:

the first box is proportional but the second is not

thus; y is (4/3)x for the first illustration

Answer:

Step-by-step explanation:

Answer:

h = 26cm

Step-by-step explanation:

V = (l w h)/3

so the volume of the first one is

20*12*13 /3= 1040

1040 = 12*10*h/3

3120 = 120h

h = 26

The answer is C. 23 cm

Answer:

187,591,805

Step-by-step explanation:

187,599,742 - 7937 = 187,591,805

HTH :)

Answer:

Step-by-step explanation:

%/100=1+2(.25)+3(.05)+5(.01)

%/100=1.7

170%

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Answer:

just to help you i dont know the answers but you should hide the link because everyone can  find your location

Answer:

hgyt67rdjhhrgytr7ugjv. hgehalk4

Step-by-step explanation:

Answer:

22-23 I believe

sorry if it's wrong

Answer

0.75 or 3/4 is the answer (degree)

I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

Answer:

HOPE IT HELPS THANK ME LATER.

Answer:

b

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90

Let's work backwards.

The answer will be in the form (x+a)^2 for any real number a

Now the expansion will be x^2+2ax+a^2.

We can see just from this that 2a=5/4

a=5/8

The result binomial should be x+5/8

Resulting binomial squared expansion should be x^2+5/4x+25/64

The term we need to add will be 25/64

Answer:

44

Step-by-step explanation:

2a     +  4b                a= 10    &     b=6

2(10) +  4(6)

20    +   24

44