Are 2/3 and 3/2 reciprocals

Answer:

c

Step-by-step explanation:

A budget

hope this helps

Answer:

Hope this helps you. Do mark me as brainliest.

The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

As it is given that 15% of the seniors in a large high school enter military

service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,

[tex]q = (1-p)\\\\q = 1-0.15\\\\q=0.85[/tex]

Now, the probability of 2 seniors out of 20 serving in the military will be,

[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}[/tex]

Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

Answer:

[tex]D) 0.5x^3y + 4x^2 y^2 - 2xy^3[/tex]

Step-by-step explanation:

Set up an equation to model the situation,

[tex](-0.5xy)(x^2 + 8xy - 4y^2)[/tex]

Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.

[tex]-0.5x^3 y - 4x^2 y^2 + 2xy^3[/tex]

Answer:

[tex]25=6t+4.5h[/tex]

2 pounds of ham

Step-by-step explanation:

1) Construct an equation

Let [tex]t[/tex] be equal to the number of pounds of turkey.

Let [tex]h[/tex] be equal to the number of pounds of ham.

We know that every pound of turkey costs 6 dollars, so the amount of money Lucy must spend on turkey is [tex]6t[/tex].

We also know that every pound of ham costs 4.50 dollars, so the amount of money Lucy must spend on ham is [tex]4.5h[/tex].

However, because 25 dollars is her budget, [tex]6t[/tex] and [tex]4.5h[/tex] must be equal to 25.

[tex]25=6t+4.5h[/tex]

2) How much ham can Lucy buy if she bought 2.5 pounds of turkey?

[tex]25=6t+4.5h[/tex]

Plug in 2.5 as [tex]t[/tex]

[tex]25=6(2.5)+4.5h\\25=15+4.5h[/tex]

Subtract both sides by 15

[tex]25-15=15+4.5h-15\\10=4.5h[/tex]

Divide both sides by 4.5

[tex]\frac{10}{4.5}=\frac{4.5h}{4.5} \\2.22=h[/tex]

Therefore, Lucy can buy 2 pounds of ham if she bought 2.5 pounds of turkey.

I hope this helps!

Answer:

6x + 4.5y ≤ 25

If Lucy bought 2.5 pounds of turkey, she can buy at most 2.22 pounds of ham.

Step-by-step explanation:

6(2.5) + 4.5y ≤ 25

15 + 4.5y ≤ 25

4.5y ≤ 10

y ≤ 2.22

Answer:

Angle number 5 is adjacent to angle psl

Answer:

x = 33

Step-by-step explanation:

Sum of the angles in a triangle is 180 so,

35 + 3x + 2x - 20 = 180

35 + 5x - 20 = 180

15 + 5x = 180

5x = 180 - 15

x = 165/5

x = 33

Answer:

T = 162 minutes

Step-by-step explanation:

Given that,

Jill can run 5 miles in 45 minutes.

We need to find how long will it take her to run 18 miles.

[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]

So,

18 miles = (18×9) minutes

= 162 minutes

Hence, 162 minutes will be taken by her to run 162 minutes.

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

Step-by-step explanation:

Given

[tex]f(x)=x^3-12x^2+35x-24[/tex]

[tex]f(8) = 0[/tex]

Required

Find all zeros of the f(x)

If [tex]f(8) = 0[/tex] then:

[tex]x = 8[/tex]

And [tex]x - 8[/tex] is a factor

Divide f(x) by x - 8

[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]

Expand the numerator

[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]

Rewrite as:

[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]

Factorize

[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]

Expand

[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]

Factorize

[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]

[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]

Multiply both sides by x - 8

[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]

Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

Answer:

7x + 4y = 11,200

Step-by-step explanation:

Let

Number of Admission tickets A = x

Number of Admission tickets B = y

Cost of Admission tickets A = $7

Cost of Admission tickets B = $4

Total cost = $11,200

The equation is:

7x + 4y = 11,200

Answer:

No. It's just a 90° angle.

Step-by-step explanation:

Answer:

(here i assume that the daily record is another rectangle)

For a rectangle with width W and length L, the perimeter is:

P = 2*W + 2*L

in this case we know that:

P = 125

W = 15

Replacing these in the perimeter equation we get:

125 = 2*15 + 2*L

125 = 30 + 2*L

125 - 30 = 2*L

95 = 2*L

95/2 = L = 47.5

Now we know that the daily record has a scale factor of 60%.

This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.

Then if the width of the daily record is W' and the length of the daily record is L'

This means that:

L' = (60%/100%)*L = 0.6*L = 0.6*47.5

W' = (60%/100%)*W = 0.6*W = 0.6*15

Then the perimeter is:

P' = 2*0.6*47.5 + 2*0.6*15 = 75

(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)

An

Step-by-step explanation:

Answer: 75 ft^2

Step-by-step explanation:

Radius is half of the diameter. Diameter is given as 10.

3 (5)^2

3 x 25 = 75 ft^2

Answer:

No

Step-by-step explanation:

2X + 12=13x - 2x + 5

2X + 12= 11x+5

2x-11x = 5-12

-9x = -7

X = 7/9

so the answer is NO

Answer:

Yes

Step-by-step explanation:

If the garden is 1O by 12 feet then the entire area is 120 feet. If one seed packet needs 40 feet then there will have to be 120 feet to have enough space for all three.

120 = 120, so Jules has enough space.

Stay safe! <3

Answer:

g

Step-by-step explanation:

Answer:

39

NOTE: JUST SUBTRACT 45 AND 6

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Have a great day, be safe and healthy

Thank u  

XD

Answer:

x = 26

Step-by-step explanation:

These angles are equal b/c of alt exterior angles

9x + 18 = 10x - 8

9x - 10x = -8 - 18

-x = -26

x = 26

Answer:

a=-0.4

Step-by-step explanation:

2(4a+1)=3a

8a+2 = 3a

5a+2=0

5a=-2

a=-0.4

Answer:

a = -2/5

Step-by-step explanation:

2 (4 [-2/5] + 1) = 3 (-2/5)

2 (-8/5 + 1) = -6/5

2 (-3/5) = -6/5

-6/5 = -6/5

Answer:

The answer is X = 18

Step-by-step explanation:

2x/3 - 7 = 5

Multiply both sides if the equation by 3 : 2x - 21 = 15

Move the constant to the right hand side and change its sign : 2x = 15 + 21

Calculate 2x = 15 + 21

2x = 36

Divide both sides of the eqaution by 2 : 2x = 36

x = 18

Answer X = 18

Answer:

18

Step-by-step explanation:

a = 6

3a = 6 x 3 = 18

When you see alphabets with numbers at the back like 2, 4 or etc, just multiply them.

Answer:

1. I would think it would be a appropriate to use a normal model to figure this out because sometimes when you are using stuff online you can get the same number like 20 times in a row, whereas, if you use a real dice, you most likely won't roll the same number 20 times.

2. { sorry two doesn't make sense }

Step-by-step explanation:

complementary angle is 90 degrees

so angle t and s are complementary

measure of angle t is 72 degrees

so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees

so measure of angle s is 18 degrees

angle r and angle s are supplement which means their sum is 180 degrees

so measure of angle r will be 180 minus 18 which gives 162

so measure of angle r is 162 degrees

we need to find measure.of angle r minus measure.of angle s

so 162 minus 18 which gives 14r

Answer:

y = -2 -5

Step-by-step explanation:

x - 2y = 14

-2y = -x + 14

y = 1/2x - 7

-3 = -2 (-1) + b

-3 = 2 + b

-5 = b

y = -2 -5

Given:

The functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=x+6[/tex]

To find:

The value of g(f(0)).

Solution:

We have,

[tex]f(x)=x^2[/tex]

Putting x=0, we get

[tex]f(0)=0^2[/tex]

[tex]f(0)=0[/tex]

Now,

[tex]g(f(0))=g(0)[/tex]                [tex][\because f(0)=0][/tex]

[tex]g(f(0))=0+6[/tex]            [tex][\because g(x)=x+6][/tex]

[tex]g(f(0))=6[/tex]

Therefore, the value of g(f(0)) is 6 and the correct option is B.

Answer:

your answer will be 1

Step-by-step explanation:

[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]

hope it helps

Answer:

m=15.5h

Step-by-step explanation:

279 divided by 18 and 77.5 divided by 5 equal 15.5 so that is how much randy gets paid per hour (h)

Answer:

h(15.50)=m

Step-by-step explanation:

He earns 15.50 dollar per hour

77.50/5=15.5

279/18=15.5

Perimeter 97.24

90 + 5 + 2.25

Area 1008

90 * 5 * 2.24 = 1008

Answer:

[tex] P(A^c) =0.38[/tex]

Step-by-step explanation:

[tex]\because P(A) + P(A^c) = 1 \\ \\ \therefore \: P(A^c) = 1 - P(A) \\ \\ \therefore \: P(A^c) = 1 - 0.62 \\ \\ \therefore \: P(A^c) =0.38[/tex]