Mathematics College

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​

250 Employees In An Organization Were Surveyed About Their Hair Color And Height. The Data Collected

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

Total number of employees in the organization = 250

Total person who have height greater than 180 centimeters and also have  black hair = 29

Probability of choosing a person who is taller than 180 centimeters and has black hair is

[tex]\frac{29}{250} = 0.116[/tex]

Hence, option D is correct

Answer 2

Answer:

The correct answer is D

Step-by-step explanation:

D) 0.116​

You have to find the probability of choosing a person at random taller than 180 cm and with black hair.

In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.

29/250=0.116

Related Questions

20 points Please help me match the equation with the method ty

Answers

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.

15
The graph below shows Jason's earnings based on the number of hours he works.
JASON'S EARNINGS
50
45
40
35
30
Earnings (dollars)
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Number of Hours Worked
What point on the graph represents Jason's hourly pay rate?
А
(0,0)
B
(1, 15)
C (2, 30)
D
(3.45)

Answers

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.

Which statement correctly describes intersecting lines?

Intersecting lines are always the same distance apart.

All intersecting lines cross to form four right angles.

Intersecting lines cross at one point.

Answers

intersecting lines cross at one point

The intersecting lines cross at one point

What are the angles formed by 2 intersecting lines?

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

To learn more about angles formed by intersecting lines click :

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u = 63 cm, t = 34 cm and ∠T=158°. Find all possible values of ∠U, to the nearest 10th of a degree.

Answers

Answer:

{}

Step-by-step explanation:

Thats actually the answer believe it or not :)

HELP! what is the unit rate???

Answers

the unit rate for that equation is .33

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$

what is the mean of 4, 8, and 18​

Answers

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.

What is the value of x and why

Answers

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

In ΔGHI, the measure of ∠I=90°, IH = 84, GI = 13, and HG = 85. What ratio represents the tangent of ∠H?

Answers

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

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT

Answers

Answer:

b)

Step-by-step explanation:

lol ;)

Answer:

a i hoped i helped

Step-by-step explanation:

Final Question!!!! College Math! I also did half of it!

Answers

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

Jeremy homeowners policy has a face value of 56,400 and a 750 deductible. How much will the insurance pay on a a 1,612 loss

Answers

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

If p and q vary inversely and p is 22 when q is 17, determine q when p is equal to 187

Answers

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

What is the constant of proportionality?

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

To know more about the constant of proportionality follow

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A man is in the 33% tax bracket and itemizes his deductions how much will his tax bill be reduced if he qualifies for $1400 tax credit?

Answers

Step-by-step explanation:

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

can you help me with this question i will give 40 points?

Answers

i think 21 or 22 not sure

Factor out the greatest common factor from 4x2−36x

Answers

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

A quarter, nickel, and dime were tossed. What is the probability of getting at least two heads

Answers

Answer:

.38 probability of getting two heads

Step-by-step explanation:

Find the value of x :)

Answers

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

Which figure is an example of perpendicular lines?

Answers

Answer:

what school do you have

Step-by-step explanation:

А ___ has cross-sectional shapes, taken parallel to a base, that are similar but not congruent to one another.
A. Cube
B. Prism
C. Pyramid
D. Polygon

Answers

The answer is pyramid or C

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.

What is a Congruent shape?

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.

To learn more about the congruent theorem visit:

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Need help on this please asap.

Answers

Answer:

This is confusing

Step-by-step explanation:

Mr. Meadows has a 6 and a 1/2 gallon bucket. His dipping can hold one and a 1/2 gallons. 3 times this year to dip into the pond with the dipping can to fill the bucket to the top

Answers

Answer:4

Step-by-step explanation:

A box contains 4 bags of flour. The total mass of all 4 bags is 8kg. What is the mass of each bag in cg?

Answers

The mass of each bag is 2 kg. To find this, just divide 8kg by 4 bags. Hope this helps!

How many three digit numbers can you get by arranging the numbers 5, 6,
7, 8, 3, 4, 5, 6, 7, 8, 9?

Answers

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.

Help ASAP pleaseeee. I will give brainliest!!
Make a list of all the possible outcomes of a three‐color spinner that is spun four times in a row.

Answers

There is 81 possible outcomes

Can someone please help me with the missing number?

Answers

Answer:

48

Step-by-step explanation:

16/10=1.6

1.6X30=48 :)

what its 600+600 pls help​

Answers

Answer:

1200 hope this helps you;)

Answer:

1200 lol

Step-by-step explanation:

Express the null hypothesis and the alternative in symbolic form. Use the correct symbol (μ, p, σ ) for the indicated parameter.
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. Use the parameter p, the true proportion of fireflies unable to produce light.
A. H0:p<0.0016
H1:p≥0.0016
B. H0:p=0.0016
H1:p<0.0016
C. H0:p=0.0016
H1:p>0.0016
D. H0:p>0.0016
H1:p≤0.0016

Answers

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.

if y varies inversely as x and y=3 when x=14, find x when y=6​

Answers

X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.

What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your
final answer to the nearest hundredth.
m_R=

Answers

Answer:

28.07°

Step-by-step explanation:

sin R = 8/17

arcsin R = 28.07

.Use the following data set to answer the questions below.

8, 15, 17, 19, 21, 82

1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?

Answers

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:

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