Answer:
a) 0.2 = 20% probability that both the husband and wife are hired
b) 0.4 = 40% probability that one is hired and one is not
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the people are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[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]
(1) What is the probability that both the husband and wife are hired?
Desired outcomes:
Both selected, only one possible outcome, so [tex]D = 1[/tex]
Total outcomes:
4 from a set of 5. So
[tex]T = C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{5} = 0.2[/tex]
0.2 = 20% probability that both the husband and wife are hired
(2) What is the probability that one is hired and one is not?
Desired outcomes:
One selected, one not, so two possible outcomes(Wife yes, husband not, or husband yes and wife not). So [tex]D = 2[/tex]
Total outcomes:
4 from a set of 5. So
[tex]T = C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability that one is hired and one is not
ANYBODY KNOW THIS ??? DUE TODAY
Answer:
not sure but hope you find what your looking 4
Step-by-step explanation:
the price of a computer had a discount of 7,800 if the discount was 20% how much was the original price
answer:
39000
step by step:
5x7800=39000
Answer:
The answer is 39,000
Step-by-step explanation:
Hope you have a great day
Ben is laying a triangular brick patio beside his wood deck.
25 ft
10 ft
12 ft
What is the area of the brick patio?
Which of the following polygons has five lines of symmetry?
O A. Equilateral triangle
OB. Regular heptagon
O C. Regular pentagon
O D. Square
Answer:
pentagon have 5 sides, 5 symmetry lines.
So your answer is Option C.
The polygon with five lines of symmetry is a regular pentagon.
Option B is the correct answer.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
A regular pentagon is a five-sided polygon where all sides and angles are equal. It has five lines of symmetry, which means it can be divided into five congruent parts through lines that reflect the polygon onto itself.
To see why a regular pentagon has five lines of symmetry, consider drawing lines from each vertex to the center of the pentagon.
These lines divide the pentagon into five isosceles triangles, each with two equal sides and two equal angles.
Each of these triangles has a line of symmetry that passes through its vertex opposite to the equal sides, and through the midpoint of the base.
Thus,
The regular pentagon has five lines of symmetry.
Learn more about regular polygons here:
https://brainly.com/question/24328525
#SPJ7
How many grams are in a ounce say how many decimals I know it's 28 something
Answer:
28.3495
Step-by-step explanation:
Answer: There are 28.35 grams in an ounce
PLZ HeLP
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
hight 5m
base 5m
other base 9m
( -5/3 ) exponent 2 = ?
Answer:
25/9
Step-by-step explanation:
I did it on mathaway
Answer:
25/9 or 2.78
Step-by-step explanation:
(-5/3)²= -5/3 x -5/3=
-5x-5= 25
3x3= 9
=25/9
Decimal form: 25/9= 2.777
PLS HELP! DUE IN 30 MINUTES!
Answer:
8x
Step-by-step explanation:
pls i need help with this math question what is 17 - 12
Please answer and explain I’ll mark brainliest!!!!!!!!!!!!
Answer:
A. x^2−x+6
B. 2x^2−11x+12
C. x^2−4
Step-by-step explanation:
Hope it helps
A. Distribute:
=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)
=x2+−3x+2x+−6
Combine Like Terms:
=x2+−3x+2x+−6
=(x2)+(−3x+2x)+(−6)
=x2+−x+−6
B. I can't find an explanation
C. I can't find an explanation
Answer:
So we apply the distributive property to get
a) x^2 - 3x + 2x - 6
b) 2x^2 - 8x - 3x + 12
c) x^2 - 2x + 2x - 4
then we add like terms to get
a) x^2 - x - 6
b) 2x^2 - 11x + 12
c) x^2 - 4
brainliest please?
HELPPPPPP PLEASE I AM STRUGLING]
10 is the answer
why are you struggling
so simple
hope it helps you ❣❣Mark me as brainliest
Given m = -1/2 and the point (2, 1), which of the following is the point-slope form of the equation?
Answer:
let (2,1) be (x1,y1)
equation of straight line in one intercept form
y-y1=m (x-x1)
y-1=-1/2 (x-2)
2 (y-1)=x-2
2y-2=x-2
x-2y-2+2=0
x-2y=0 is the required eqn
In the diagram RT is tangent at s. If the measure of SVU is 138 what is m
Answer:
D 111
Step-by-step explanation:
Answer:
D. [tex]111\degree [/tex]
Step-by-step explanation:
By tangent secant theorem:
[tex] m\angle TSU=\frac{1}{2}(360\degree - 138\degree) [/tex]
[tex] m\angle TSU=\frac{1}{2}\times 222\degree [/tex]
[tex] m\angle TSU=111\degree [/tex]
Translate the figure 3 units right and 7 units down. What are the coordinates of A'?
Answer:
i will go do the math
Step-by-step explanation:
S varies inversely as G. If S is 9 when G is 2.4, find S when G is 6. a) Write the variation. b) Find S when G is 6
Answer:
S = 21.6/G
S = 3.6
Step-by-step explanation:
Inverse variation:
y = k/x
For this problem:
S = k/G
We use the given values of S and G to find k.
9 = k/2.4
k = 9 * 2.4
k = 21.6
The equation is
S = 21.6/G
For G = 6,
S = 21.6/6
S = 3.6
Jenna earns $10.75 per hour working at the mall. If Jenna worked 27 1/5 hours last week, how much did she earn before taxes were taken out?
Answer:
$292.40 earned
Step-by-step explanation:
$10.75 x 27 = $290.25
$10.75 x 1/5 = $2.15
$290.25 + $2.15 = $292.40 (total earned)
I hope this helps :)
Solve the inequality 5 - 1/2x great than 30
Answer:
5-1/2 = 4 1/2 4 1/2= 4.5. and 4.5 is not greater then 30, thus this statement is false
Step-by-step explanation:
Joe added 1,500 liters of water to his pool. How many kiloliters did he add to his pool?
Answer:
1.5 kiloleter
Step-by-step explanation:
1 kiloleter = 1000 liters
so
1500 liters = 1.5 kiloleters
pls mark brainliest if possible lol
Answer:
1 1/2 kl
Step-by-step explanation:
1 kiloliter is a 1,000 liters, so 1 liter and 500 is 1/2 of 1,000
Before the clowns arrived, only 35 percent of the children
wore happy faces. If 91 children did not wear happy
faces, how many children were there in all?
Answer:
91 + 35 =126. Hope it helps
Please help I will give brainliest! I just need 22 and 23 please! Thank you! (And it’s related to ordered pairs by the way!)
Answer:
22. B1, G1 (from left to right)
23. E5
Step-by-step explanation:
A School of 38 teachers has 15 married
women. If 6 of the teachers are couples, how
many of the teachers are neither married nor
have their spouses not in the school? (A) 17 (B) 23 (C) 20 (D) 21
17 teachers are neither married nor have their spouses not in the school
Venn diagram
A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
Venn diagrams help to visually represent the similarities and differences between two concepts.
From the question:
Number of teachers neither married nor have their spouses not in the school = 38 - (15 + 6) = 17
Find out more on venn diagram at: https://brainly.com/question/1024798
Answer:
17
Step-by-step explanation:
15-6=21
38-21=17
i need help with this question
Answer:
[tex] \boxed{ \tt{x = 201 \:m}}[/tex]
Step-by-step explanation:
[tex]applying \: the \: sine \: rule \to \\ \: \sin(38) = \frac{x}{327} \\ x = 327 \sin(38) \\ x = 201.32[/tex]
A sales clerk sold 3 times as many T-shirts as hats last week. The number of belts she sold was 15 more than 1/4 the number of hats she sold. If she sold 288 hats, how many fewer belts than t-shirts did the clerk sell?
Answer:
777 fewer belts
Step-by-step explanation:
288/4 = 72
72 + 15 = 87
288*3 = 864
864 - 87 = 777
what is the distance between (-4,2) and (-2,-5) in simplest radical form?
Answer:
d=√((x2-x1)²+(y2-y1)²)
d=√(-4+2)^2 + (2+5)^2
d=√(4+49)
d=√53
Let me know if this helps!
A botanist is studying a newly identified soybean disease. The botanist collected soil samples from all of the
soybean fields in randomly selected states to see if there were significant differences the sulfur levels in fields with and without the disease.
1. What is the population?
-all u.s. soil
-all u.s. soybeans
2. What is the sample?
-selected u.s. soil
-selected u.s. soybean fields
3. What is the variable of interest?
-amount of sulfur in soil
-number of soybeans with the disease
4. How was the sample selected?
5. What method was used to collect the data?
6. Is the variable qualitative or quantitative?
7. Is the variable continuous or discrete?
Joel rides bikes in his city There are 4 lengths of race tracks.
Answer:
21
Step-by-step explanation:
asdawda
A farmer has 100 acres on which to plant two crops. The cost of planting the first crop is $20 per acre and the second crop is $40 per acre, and up to $3000 is available to cover the cost of planting. Each acre of the first crop will require 5 work-hours for harvesting and each acre of the second crop will require 20 work-hours. The farmer can rely on having only a total of 1350 work-hours for harvesting the two crops. If the profit is $100 per acre for the first crop and $300 per acre for the second crop, determine the acreage that should be planted with each crop in order to maximize the total profit.
Answer:
shorturl.at/ipxUY
Step-by-step explanation:
because the other guy sry
3 x 7/8 I need help with this I do not understand if anyone knows tell me
Answer:
21/8
Step-by-step explanation:
because 3*7 is 21 over8
Answer:
Step-by-step explanation:
Your problem → 3 x ^7/8
3x^7 /8
= 3* x^7 /8
= 3x^7 /8
There is no any common factor
Write an observation that you see on the graph
Plzz help me I am bad at math plzzz!
Complete this number sentence with the correct symbol.
0.2. 0.20
A. <
B.>
D.=
Answer:
=
Step-by-step explanation:
its the same just with an extra 0 at the end