Factor the expression 24+72n

Answer:

notice the two angles are vertical to each other making them equal to each other

for the first angle add 45 and 15 together to get 60

set 60 = 4x (the other angle using the vertical angle congruence theorem)

solve for x gives us 15

Step-by-step explanation:

Answer:

[tex]Pr(A\ or\ B) = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]S = \{21,22,23,24,......40\}[/tex]

[tex]n(S) = 20[/tex]

[tex]A = \{21,24,27,30,33,36,39\}[/tex] -- Divisible by 3

[tex]B = \{23, 29, 31, 37\}[/tex] --- Prime numbers

Required

[tex]Pr(A\ or\ B)[/tex]

This is calculated as:

[tex]Pr(A\ or\ B) = Pr(A) + Pr(B) - Pr(A\ n\ B)[/tex]

Using probability formula, we have:

[tex]Pr(A\ or\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{n(S)}[/tex]

Where:

[tex]A = \{21,24,27,30,33,36,39\}[/tex]

[tex]n(A) = 7[/tex]

[tex]B = \{23, 29, 31, 37\}[/tex]

[tex]n(B) = 4[/tex]

[tex]A\ n\ B =\{\}[/tex]

[tex]n(A\ n\ B) = 0[/tex]

So:

[tex]Pr(A\ or\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{n(S)}[/tex]

[tex]Pr(A\ or\ B) = \frac{7 + 3 - 0}{20}[/tex]

[tex]Pr(A\ or\ B) = \frac{10}{20}[/tex]

[tex]Pr(A\ or\ B) = \frac{1}{2}[/tex]

Answer: 2 combinations

Step-by-step explanation: he can either wear one jacket, one pair of shirt, one pair of pant and a air of shoes or the second combination the other jacket, shirt, pants and shoes

Answer:

4.4in

Step-by-step explanation:

Answer:

x ≈ 4.4 in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

with legs 2.4 and (7.4 ÷ 2) = 3.7 , x is the hypotenuse, then

x² = 2.4² + 3.7² = 5.76 + 13.69 = 19.45 ( take square root of both sides )

x = [tex]\sqrt{19.45}[/tex] ≈ 4.4 in ( to the nearest tenth )

Answer:

24

Step-by-step explanation:

Answer:

these three apply:

ΔCBA ≈ ΔFED

ΔBAC ≈ ΔEDF

ΔABC ≈ ΔDEF

Step-by-step explanation:

The similarity statements which describe the relationship between the two triangles is ΔCBA-ΔFED

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangles ABC and DEF are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Side CB is congruent to FE.

BA is congruent to side DE.

AC is congruent to side DF.

The two triangles are similar.

ΔCBA-ΔFED is the similarity statements describe the relationship between the two triangles

Hence, the similarity statements which describe the relationship between the two triangles is ΔCBA-ΔFED.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ7

Step-by-step explanation:

Answer

(z+15)

Use the quadratic formula to get the answer you seek.

You should arrive at

(z-6)(z+15)

Answer:

                      Male                   Female            Total

American 11/17 = 0.647  l 6/17 = 0.353 l 17/17 = 1.000

Non-American 9/23 = 0.391 l 14/23 = 0.609 l 23/23 = 1.000

Step-by-step explanation:

Answer: 2 times the square root of 10=x

Step-by-step explanation: 6^2+2^2= x^2

36+4=x^2

40=x^2

2 root 10=x

Answer:

Reducing the amount of manual labor required

Step-by-step explanation:

Even a simple machine is able to cut down on production time as well

Hope this helps

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

Based on experience, the band sells out 2 out of its 6 shows. So, the experimental probability of selling out its next show = 2/6

To transform to the simplest form. divide both the numerator and the denominator by 2

1/3

Answer:

Pradnya can do two consecutive 90°-clockwise rotations or two consecutive 90°-counterclockwise rotations in order to land the piece squarely on the gap.

Answer:

you could turn it upside down and face the L to the left and make it fit into the hole or put it on top of the right facing L

Step-by-step explanation:

hope this helps have a good day

Answer:

2

Step-by-step explanation:

2-2=4 which is equal to 4

Answer:

5.6

Step-by-step explanation:

Use pythag to get SU. 10^2 + x^2 = 15^2, this will give you x = 11.2. 11.2 is the diameter of SU so divide it by 2 to get the radius. 11.2/2= 5.6.

Answer:

y = 1/2 x - 2

Step-by-step explanation:

The standard linear equationof a line is expressed as y = mx+b

Using the coordinate points (0, -2) and (2, -1)

Slope m = -1-(-2)/2-0

m = -1+2/2

m = 1/2

Since the line cuts the y axis sat y = -2, hence the intercept b = -2

Get the required equation;

Recall that y = mx+b

y = 1/2 x + (-2)

y = 1/2 x - 2

This give the required linear equation

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 4 ← is in slope- intercept form

with slope m = 5

Answer:

$2655 + $324d

Step-by-step explanation:

total cost of a booth = fixed cost + (variable cost x number of days)

Fixed costs are costs that do not vary with output

Variable costs are costs that vary with production

cost of 18 food booths = 18(50 + 6d) = 900 + 108d

cost of 27 game booths = 27(65 + 8d) = 1755 + 216d

Add the total cost of the food and game booths together 900 + 1755 = 2655

108d + 216d = 324d

Answer:

4 ≤ x ≥ -7

I think this is right. I'm not 100% sure! But maybe it will help :)

Answer:

x ≥ -7 ≤ 4

Step-by-step explanation:

Answer:

the perimeter of this trapzoid is 26.5.

Sorry if I am wrong and please do correct me if I am wrong.

Step-by-step explanation:

Answer:

33+x+18=2x+3

51+x=2x+3

51-3=2x-x

48=x

Step-by-step explanation:

2x+3

2*48+3

96+3

99

Answer:

4ft

Step-by-step explanation:

4ft is the ansjdjfjdjsdmdhdkd

Answer:

B

cause when dividing you are subtracting the exponents

so it 4^-3+1 = 4^-2

you shouldnt have negative exponents

so you flip it, which become 1/4^2

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

Answer:

The probability that the laughter after one of the comedians jokes lasts for more than 7 seconds is approximately 0.474

Step-by-step explanation:

The nature of the distribution of the given data = Evenly distributed data

The range of the laughter times = Between 4 seconds and 9.7 seconds

The probability density function, f(x), is given as follows;

[tex]f(x) = \dfrac{1}{b - a}[/tex]

The mean of the uniform distribution, μ, is given as follows;

[tex]\mu = \dfrac{a + b}{2}[/tex]

The standard deviation, σ, is given as follows;

[tex]\sigma = \sqrt{\dfrac{\left (b - a\right)^2}{12} }[/tex]

Where;

a = 4, and b = 9.7, we have;

μ = (4 + 9.7)/2 = 6.85

σ = √((9.7 - 4)²/12) ≈ 1.64545

The probability density function, f(x) = 1/(b - a) for a ≤ x ≤ b

∴ f(x) = 1/(9.7 - 4)

For P(x > 7), we have;

P(x > 7) = 1 - P(x < 7) = 1 - (7 - 4) × 1/(9.7 - 4) ≈ 0.474

The probability that the laughter after one of the comedians jokes lasts for more than 7 seconds P(x >7) ≈ 0.474.

Answer:

Girl's plot

Step-by-step explanation:

The exact question is as follows :

Given - The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser.

To find - Which plot has an outlier?

Proof -

The correct answer is - Girls

Reason -

Girls plot has an outlier because values way outside the majority of the data.

Definition of outlier -

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.

Here in the Girl's plot we can see that, all the dots are close but there is one dot that is lies outside

But in Boy's plot all the dots are close to each other , no dot is lies outside to any other dots.

So,

The correct option is -

Girl's plot has an outlier.

Answer:

A. minimum value = 1; maximum value = 6

Step-by-step explanation:

Correct on Edge 2021

Answer:

List Price = $ 8.75

Discount Amount = $ 1.75

[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Plugging in our values,

[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]

So the answer is,

[tex]2.095{m}^{3} [/tex]

Answer:

-15

Step-by-step explanation:

Answer:

nth term = -5n + 30

Step-by-step explanation:

Given sequence:-

25 20 15 10 5

To find the nth term, we have to find the algebraic expression, Xn.

Xn = dn + b

Here, 'd' means the common difference and 'b' means 'first term -- common difference'

the common difference here is -5

So, b = 25 - (-5)

b = 25 + 5

b = 30

Xn = -5n + 30

Therefore, nth term equals -5n + 30

Answer:

83 degrees

Step-by-step explanation:

We can use the consecutive angle theorem to find the the value of x.

We can do that by doing 5x+10.5+6x+10 = 180

After simplifying, we get 11x+20.5=180

Subtract 20.5 on both sides and you get 11x=159.5.

Divide by 11 on both sides and you get x=14.5

Now we can use opposite angle theorem and set angle N and angle T equal.

That means we could write 5x+10.5 = m<T

We can substitute 14.5 for x and we get 72.5+10.5 = m<T

Simplify and you get 83 = m<T

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Hope this helps!