250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?

A) 0.257

B) 0.351

C) 0.360

D) 0.116​

The intersecting lines cross at one point

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the first line be represented as A

Let the second line be represented as B

Now , the lines A and B are not parallel lines and they intersect

So , the point of intersection of the two lines is P

The coordinates of the point of intersection is P ( x , y )

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Hence , the lines intersect at one point

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Answer:

{}

Step-by-step explanation:

Thats actually the answer believe it or not :)

Step-by-step explanation:

[tex] = 33\% \times 1400 \\ = \frac{33}{100} \times 1400 \\ = 462 \: dollars \\ remaining \: tax = 1400 - 462 \\ = 938 \: dollars[/tex]

Answer:

x = 7.5

Step-by-step explanation:

If two scants are drawn from a point outside the circle then the product of one secant and its external segment is equal to the product of other secant and its external segment.

By applying this property in the picture attached,

OB × OA = OC × OD

(6 + 3)6 = (12 - x)12

54 = 144 - 12x

12x = 144 - 54

12x = 90

x = 7.5

Answer:

1200 hope this helps you;)

Answer:

1200 lol

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

→ Remember how many degrees are on a straight line

180°

→ Set up an equation

2x + 70 + 3x + 10 = 180

→ Simplify

5x + 80 = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

Answer:

x=20

Step-by-step explanation:

Those add up to 180 degrees because a straight line is 180 degrees

Equation

2x + 70 + 3x + 10 = 180

Add liked terms

2x+3x=5x

5x+80=180

5x+80-80=180-80

Divide both sides by 5

5x=100

x=20

hope this helps and good luck! <3

Answer:

15π/4

9π /4

Step-by-step explanation:

[tex]5 \int\limits^4_1 {f(x)} \, dx[/tex]  = 5 ((-π/4)+ π) = 5 (π-π/4) = 5(3π/4) = 15π/4

[tex]5 \int\limits^6_1 {|f(x)|} \, dx[/tex] =  5(π/4 + 2π)  = 5(9π /4) = 45π/4

Answer:

B) (1,15)

Step-by-step explanation:

Because 1/15= 15 and so does everything else. But it iS the first point that we look at to see the answer of the rest.

Answer:

what school do you have

Step-by-step explanation:

Answer:

b)

Step-by-step explanation:

lol ;)

Answer:

a i hoped i helped

Step-by-step explanation:

Answer:

a. Substitution method.

b. Elimination method.

c. Graph method.

Step-by-step explanation:

Given the following algebraic expressions;

a. y = 3x + 10 ....... equation 1

2x - 4y = -6 ...... equation 2

The above would be solved using substitution method.

Substituting eqn 1 into eqn 2, we have;

2x - 4(3x + 10) = -6

2x - 12x - 40 = -6

-10x = -6 + 40

-10x = 34

x = 34/10

x = 3.4

y = 3x + 10 = 3*3.4 + 10

y = 10.2 + 10 = 20.2

b. 9x + 2y = 29 ...... equation 1

3x - 2y = -17 ...... equation 2

The above would be solved using elimination method.

Adding eqn 1 to eqn 2, we have;

(9x + 3x) + (2y + (-2y)) = (29 + (-17))

12x + 0 = 12

12x = 12

x = 12/12 = 1

To find y, from eqn 1;

9(1) + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2 = 10

c. y = 3/2x - 5

y = 2x + 8

The above would be solved using a graph method.

You choose a range for the value of y and x. These values are then plotted against each other and the slope of the graph is determined.

Answer:

A. H0:p<0.0016

H1:p≥0.0016

Step-by-step explanation:

An entomologist writes an article in a scientific journal that claims that fewer than 16 in 10,000 male fireflies are unable to produce light due to a genetic mutation.

This means that the null hypothesis is that the proportion is less than the proportion explicited, that is:

[tex]H_0: p < \frac{16}{10000}[/tex]

[tex]H_0: p < 0.0016[/tex]

At the alternate hypothesis, we test if the claim at the null hypothesis is wrong, that is, if the proportion is equals or more to this value. So

[tex]H_1: p \geq 0.0016[/tex]

The correct answer is given by option A.

Answer:4

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

Given the expression

4x² - 36x

Get the individual factor of each terms

4x² = 4 * x * x

36x  = 4 * 9 * x

4x² - 36x = 4x(x-9)

From both factors we can see that 4*x is common to them, hence the greatest common factor is 4x

Answer:

1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162

2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18

3. Yes there is a outlier. and i believe it's 82

4. i believe the mean will be 80 but then divided by 5 will be 16

hope this helped :D

Step-by-step explanation:

Answer:

Q=2

Step-by-step explanation:

p=k/q

When P=22, q=17

22=k/17

k=374

When p =187

187=374/q

187q=374

q=2

The value of q when the value of p is 187 will be equal to 2

Two numerical sequences, often experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that p and q vary inversely and p is 22 when q is 17, The

p=k/q

Calculate the value of k when P=22, q=17,

22=k/17

k=374

Calculate the value of q when p =187,

187=374/q

187q=374

q=2

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Answer:

28.07°

Step-by-step explanation:

sin R = 8/17

arcsin R = 28.07

Answer: 862

Step-by-step explanation:

A deductible refers to the amount of money that one will have to pay himself or herself toward an insured loss.

It should be noted that when a disaster occurs, the amount of the deductible will be subtracted from the loss. Since the loss is 1612 and the deductible is 750, the insurance company will pay:

= 1612 - 750

= 862

Answer:

10

Step-by-step explanation:

to find the mean/average you add the numbers together and divide by how many numbers there are, for example you add 4 and 8 and 12 which equals 30 and you divide that by 3 becuase there are three numbers  (4,8,12) which gives you 10.

Answer:

This is confusing

Step-by-step explanation:

Answer:

.38 probability of getting two heads

Step-by-step explanation:

А prism has cross-sectional shapes, taken parallel to a base, that are similar but not congruent to one another. Therefore, option B is the correct answer.

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

The cross section of prism is the shape obtained when the prism is intersected by a plane. If the prism is cut by a plane horizontally, parallel to the base, then the shape of cross section will be equal to the shape of base.

Therefore, option B is the correct answer.

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Answer: The unit rate of the bananas is 0.33$

Step-by-step explanation:

1.98/6 = 0.33$ . 0.33 x 6 = 1.98$

Answer:

48

Step-by-step explanation:

16/10=1.6

1.6X30=48 :)

There is 81 possible outcomes

Answer:

84 numbers

Step-by-step explanation:

Numbers starting with 12 – 7 numbers

Numbers starting with 13 – 6 numbers;

14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.

Thus total number of

numbers starting from 1 is given by the sum of 1 to 7 = 28.

Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21

Number of numbers starting from 3- sum of 1 to 5 = 15

Number of numbers starting from 4 – sum of 1 to 4 = 10

Number of numbers starting from 5 – sum of 1 to 3 = 6

Number of numbers starting from 6 = 1 + 2 = 3

Number of numbers starting from 7 = 1

Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.

9514 1404 393

Answer:

  13/84

Step-by-step explanation:

The relevant trig ratio is ...

  Tan = Opposite/Adjacent

  tan(H) = GI/HI

  tan(H) = 13/84