Answer:
Let E denote the event of choosing a jury with 10 men and 2 women.
The sample space for selecting 12 members from the pool contains 55C12 elements.
The number of ways of selecting 10 men and 2 women is 26C10 29C2.
The probability of event E =
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
Step-by-step explanation:
see the image :
Answer:
The probability of selecting a jury with 10 men and 2 women out of out of 29 men and 26 women is 0.005 (0.5%)
Step-by-step explanation:
Let P(E) denote the probability of choosing a jury with 10 men and 2 women out of 29 men and 26 women.
The sample space for selecting 12 members from the total no of member will be 55c12
The number of ways of selecting 10 men and 2 women is 26c10 29c2.
The probability of event E = [tex]$=P(E)=\frac{{ }_{20} C_{10} \times{ }_{20} C_{2}}{-C_{12}}$[/tex]
[tex]$=\frac{5,311,735 \times 406}{438,729,741,450}$[/tex] [tex]$=0.005$.[/tex]
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
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Your friend earns 7x dollars for
working x hours. How much does
your friend earn for working
16 hours? 40 hours?
16 hours $
40 hours $
The original selling price of a jacket was s dollars. The selling price was then changed on two occasions by the store owner. Its price is now represented by 0.85(1.4s). Which expression could explain what happened to the price of the jacket
A)The price was increased by 40% and then decreased by 85%.
B) The price was increased by 40% and then decreased by 15%.
C)The price was increased by 40% and then decreased by 0.15%.
D) The price was increased by 140% and then decreased by 85%.
Answer:
D
Step-by-step explanation:
D) The price was increased by 140% and then decreased by 85%.
Answer:
B
Step-by-step explanation:
The price was only increased by 40% because for example, the starting price was 100, then if you increased it by 140% or $140, then the price would be 240.
next, the decreased by 15% and not 85% because 100% - 15% = 85%
Find the value of x*
(3x + 6)
48°
Answer:
48°+3x +6° = 90°
54°+x = 90°
x = 90°-54°
x = 36°
The area of a rectangle is 42 m2, and the length is
8 m less than two times the width. Find the
dimensions of the rectangle.
Answer:
length = 14 m
width = 7 m
Step-by-step explanation:
l = length
w = width
l = 2w - 8
w(2w - 8) = 42
2w² - 8w - 42 = 0
you can factor out a 2 to work with smaller numbers:
w² - 4w - 21 = 0
(w - 7)(w + 3) = 0
w = 7
'w' cannot equal a negative so we discount it as an answer
find length:
l = 2(7) - 8
l = 14 - 8 or 6m
solve x for 7× + 3 = 31
Answer:
X = 4
Step-by-step explanation:
7x + 3 = 31
Step 1: Subtract 3 from both sides.
7x + 3 - 3 = 31 - 3
7x = 28
Step 2: Divide both sides by 7.
7x/7 = 28/7
Therefore, the answer is X = 4
suppose you are investigating which hamburger condiment is most popular in a school cafeteria which type of display would be most useful for communicating your results.
A. boxplot
B. histogram
C. bar graph
D.line graph
What is the volume of the solid figure (with congruent, parallel bases) that has a height of 11 feet and the following base?
volume =
ft3
Answer:
The volume of the solid figure 421.08 cubic ft.
Step-by-step explanation:
volume of figure = base area × height of the figurevolume of figure = 38.28 sq. ft. × 11 ft.
=421.08 cubic ft.
Therefore ,The volume of the solid figure 421.08 cubic ft.
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6. All 20 spaces in the LCS parking lot are filled with vehicles. Some are occupied by two wheeled
motorcycles and others by cars (4 wheels). Each space has only one vehicle occupying it. There are a
total of 48 wheels in the
parking lot. How many cars and how many motorcycles are in the lot?
Please hurry
Answer:88
Step-by-step explanation:
Felix is joining a book club. The club members have already read 6 books together so far. Once Felix joins, they will
read one new book each week. The equation representing the relationship between b, the total number of books and
w, the number of weeks, is b=w+6.
Which statement about this relationship is NOT true?
A.the number of weeks and total number of books increase together at a constant rate.
B.as the number of weeks increases by 1,the total number of books increases by 1.
C.the common difference between the number of weeks and total number of books is 6.
D.doubling the number of weeks also doubles the total number of books.
Answer:
The number of weeks and total number of books increase together at a constant rate.
As the number of weeks increases by 1, the total number of books increases by 1.
The common difference between the number of weeks and total number of books is 6.
Doubling the number of weeks also doubles the total number of books.
Step-by-step explanation:
Is LMN a right triangle?
Answer:
True
Step-by-step explanation:
We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!
Answer:
true
Step-by-step explanation:
we can use the Pythagorean theorem to verify if the sum of the squares built on the legs is equal to the square built on the hypotenuse
36^2 + 15^2 = 39^2
1296 + 225 = 1521
1521 = 1521
the equality is verified so the answer is true
A gaming system is regularly priced at $165. It is on sale
this week for $132. What is the percent decrease in the
price of the gaming system?
PLSSS HELPPP
Answer:
The gaming system was on sale for 20% off
Step-by-step explanation:
165 - 132 = 33
Now, we need to find what percent 33 is of 165.
(33/165) x 100 = 20%
Parallelly lines/angle problem
Answer:
142 degrees
Step-by-step explanation:
PleAse help I don’t know hos
Answer:
5
Step-by-step explanation:
use Pythagoras theorem
Answer:
5 units
Step-by-step explanation:
It says round to the nearest 10th so it cant be 5.1 or 4.99, and 25 is to big for that side, so 5 units
Write 11/75 as a decimal
Answer:
0.147
Step-by-step explanation:
This is rounded to the nearest thousandths place. 11 divided by 75 is 0.147.
Answer:
0.14666666 (or put the symbol for a repeating number on the first 6, that way you don't have to write all of the other sixes)
Hope this helps :)
A 6ft tall person casts an 18ft shadow. At the same time, a tree casts a 74 ft shadow. What is the actual height of the tree?
Answer:
24 2/3 feet
Step-by-step explanation:
If the shadow makes is 3 times longer, then the height of the tree is 74/3
74/3 = 24 2/3
f(x)=5x^2+5x-30
if anyone can help me that would be great
Answer:
x= 2,-3
Step-by-step explanation:
Is this what you want?
Suppose that a certain movie earns $3,000,000 in ticket sales. If 60% goes to the movie and 40% goes to theatres: Movie studios will get $ of the total revenue Theatres will get $ of the total revenue
Answer: See explanation
Step-by-step explanation:
Amount earned by movie = $3,000,000.
Percentage that went to movie = 60%
Percentage that went to theater = 40%
Revenue gotten by movie studio = 60% × $3,000,000
= 0.6 × $3,000,000
= $1,800,000
Revenue gotten by theaters = 40% × $3,000,000
= 0.4 × $3,000,000
= $1,200,000
10. Solve 3(x-1) = 9*
Answer:
x=4
Step-by-step explanation:
3(x-1)=9
3x-3=9
3x=9+3
3x=12
x=4
Answer:
x=4
Step-by-step explanation:
[tex]3(x - 1) = 9[/tex]
[tex]x - 1 = 9 \div 3[/tex]
[tex]x - 1 = 3[/tex]
[tex]x = 3 + 1[/tex]
[tex] x = 4[/tex]
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answer:
350 hours
Step-by-step explanation:
A quadrilateral has 4 congruent angles but does NOT have 4 congruent sides.
The quadrilateral must be a...
A) Rhombus
B) Square
C) Rectangle
D) None of the above
Answer:
rectangle
Step-by-step explanation:
in a rectangle, all 4 angles are 90° but only opposite sides are congruent
whts 1/4+1/2
will give 30 points and brainlest
Answer:
0.75 is the answer!
Step-by-step explanation:
1/4+1/2=0.75
Please answer correctly! I will mark you Brainliest
Answer:
320
Step-by-step explanation:
I attached my work, for coming questions that is the formula
10 = base length
8 = base width
12 = pyramid height
Answer:
V = 320ft³
Step-by-step explanation:
Given
L = 10 W = 8 H = 12
Solution
V = LWH/ 3= 10·8·12/ 3 = 320
Therefore, the volume of the given pyramid is V = 320ft³
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and 649-04-06-00-00
Complete question :
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5
Answer:
k = 1/8
y = 1 / 200
Step-by-step explanation:
Let the constant of variation = k
y varies inversely as the square of x
y α 1/x²
y = k * 1/x²
y = k/x²
y = 1/8 ; x = 1
1/8 = k/1²
1/8 = k
K = 1/8
y ; when x = 5
y = (1/8 ÷ 5²)
y = 1/8 * 1/5²
y = 1/8 * 1/25
y = 1 / 200
Answer:
C
Step-by-step explanation:
Edge 22
Find the measure of the indicated angle to the nearest degree. please help!!
Answer:
53°
Step-by-step explanation:
[tex]sin^{-1}(\frac{56}{70})[/tex]=53.13010235° or 53°
Please helppppp me What’s the answer?
Answer:
She shaded above the line when she should have shaded below the line.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
The scatterplot below shows a plant height over time based on the graph what is the best prediction for the plant height after 10 weeks
Answer:
7
Step-by-step explanation:
Help? don't know what to pick, and please dont choose randomly
Answer:
yess!!!
step-by-step explained.
......
Nicole purchased a package of 5 coconut cookies. The total weight of the cookies was 0.5 ounces. How many did each cookie weigh
Answer:
0.1 ounce
Step-by-step explanation:
5 cookies = 0.5 ounces
1 cookie = 0.5 / 5 = 0.1 ounce
Please answer this thoroughly.
Answer:
2 x 3/5, 1 2/5 x 3/5, 6/6 x 3/5, 1/4 x 3/5
Hope this helps!
The scale factor of the scale model of a desk to the actual desk is represented by the ratio 1:16. If the dimensions of the model desk are 2 inches wide by 3.75 inches long what is the actual area of the top of the desk?