Miguel’s claim is correct Yes, the two events are independent because P(NF | PB) is equal to P(NF) which is 3/4.
What is an independent event?The two events are said to be Independent events if the occurrence of events is not dependent.
We have the given data;
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
The two events will be independent if both are the same.
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
Thus, the two events are independent
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Answer:
The answer will be A - Yes, the two events are independent because P(NF|PB) = P(NF).
Step-by-step explanation:
Hope this helped!
what is the volume of the rectangular prism?
Answer:
96
Step-by-step explanation:
L x W x H
8 x 4 x 3 = 96
How to do this please help
Write an equation and please explain how to do it
simplify the solution: 9/4x-5/x+11/3=0
Answer:
Solve the rational equation by combining expressions and isolating the variable
x
.
Exact Form:
x
=
−
22
−
2
√
526
27
,
−
22
+
2
√
526
27
Decimal Form:
x
=
0.88405110
…
,
−
2.51368073
…
Step-by-step explanation:
Find the surface area of the prism
Answer:
216cm²
Step-by-step explanation:
SA of the rectangular prism
= 2(lb + bh + hl)
= 2(3*6 + 6*10 + 10*3)
= 2(18 + 60 + 30)
= 2(108)
= 216cm²
5.967 is when rounded to the nearest whole number.
Answer:6
Step-by-step explanation:
5.967 is about 6 because 5.9 9 is above 4 so we round up.
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
Answer:
y=-0.6x+1.8
Step-by-step explanation:
Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8
In the frog jumping contest, Sam's frog 17.53 meters. Juan's frog jumped 23.8 meters. How much further did Juan's frog jump?
The function g(x) = 10x2 – 100x 213 written in vertex form is g(x) = 10(x – 5)2 – 37. which statements are true about g(x)? select three options. the axis of symmetry is the line x = –5. the vertex of the graph is (5, –37). the parabola has a minimum. the parabola opens up. the value of a, when the equation is written in vertex form, is negative.
The vertex of the function of g(x) is (5, -37).
What is the vertex form of the parabola?The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.
The vertex form of the parabola is given by;
[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]
On comparison with the standard equation of parabola the vertex of the parabola are;
h = 5 and K = -37
Hence, the vertex of the function of g(x) is (5, -37).
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Answer:
---> The vertex of the graph is (5, –37).
---> The parabola has a minimum.
---> The parabola opens up.
Step-by-step explanation:
IT'S CORRECT ON PRE-TEST / ON TEST
Quincy's father added a 20 ft by 10 ft porch to the house. The house is 50 ft by 40 ft. Find the total area of the house and porch.
A. 1,800 ft2
B. 2,200 ft2
C. 2,000 ft2
D. 200 ft2
Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left? A) $4. 82 B) $5. 08 C) $6. 58 D) $7. 12
well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]
so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]
Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A
The inequalities have no solution since their graph does not intersect or overlap.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Hence, The inequalities have no solution since their graph does not intersect or overlap.
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Answer:
B. There is no solution.
Step-by-step explanation:
And katie stop deleting my answers
please help me i don’t know how to do this my teacher didn’t explain it well
Answer:
see below
Step-by-step explanation:
It's sort of hard to draw a rectangle digitally but the area of it would be15 x (12+2) = 210 square feet
For the top left rectangle 3 x 4 feet = 12 square feetFor the top right corner triangle area of a triangle is half the base multiplied by the perpendicular height so 2(2/2)=2 square feetHere are my workings for the area of the shaded region 210-(8x4)-12-2=164 square feetIf the cost per square foot is $5.40 then 5.4 x 164 = $885.60 for the whole kitchenO is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.
Answer:
your answer would be 929.24856 or
≈ 929.2
Step-by-step explanation:
tan15∘ = opposite/adjacent= x/17
tan15 ∘= x/17
tan15 /1 = x/17
1/2= 4.55514 ·17
=38.718689
38.718689 · 2 = 77.43738
(77.43738)(12)(multiply the 2)
and your answer should then be....929.24856 or 929.2
i hope i was able to help you!!!
The area of the regular pentagon is 929.2486 or 929.2.
What is regular pentagon?A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .
According to the question,
The regular pentagon has 'O' as its center and radius of regular pentagon is 17.
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
Find the length of the apothem
tan θ = [tex]\frac{opposite}{adajacent}[/tex]
To find θ
The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.
(12-2)180 = (10)(180).55
= 1800.
To find entire interior angle 1800 divided by 8 we get 225.For the triangle at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.
tan 15° = [tex]\frac{x}{17}[/tex]
(0.2679) 17 = x
x = 4.5543
Perimeter of the polygon = (4.5543)(17)
= 77.4231
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
=77.4231 × 12
=929.2476
Hence, The area of the regular pentagon is 929.2486 or 929.2.
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1. We know if just one dimension of a 3-D figure is 4 times longer, the volume is 4 times longer. If all three dimensions change to be 4 times longer, how many times larger is the volume?
Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:
V = 4³ = 4 x 4 x 4 = 64.
The volume is 64 times larger than the volume of the original figure.
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The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width
Answer:
10
Step-by-step explanation:
Since a rectangle has 2 sets of congruent sides we can set up the equation:
48=2x+2y
We have our x value/length (14) so we can plug that in to the equation.
48=2(14)+2y
Then we have to simplify
48=28+2y
20=2y
Then simply solve for the y value, which is your width
10=y
U
S
V
Y
4x0
T
W
60°
.
Z
X
Find m2 svw.
mZSVW =
Answer:
Answer is 72°. Hope it helps.....
Auto insurance options offered by aa auto insurance are outlined in the table below. what monthly payment would you expect for an insurance policy through aa auto insurance with the following options? bodily injury: $25/50,000 property damage: $25,000 collision: $250 deductible comprehensive: $100 deductible aa auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/$50,000 $22.50 $50/100,000 $31.75 $100/300,000 $40.25 property damage $25,000 $120.50 $50,000 $144.75 $100,000 $193.00 collision $100 deductible $520.00 $250 deductible $415.25 $500 deductible $275.75 comprehensive $50 deductible $110.25 $100 deductible $100.00 a. $43.23 b. $46.10 c. $54.85 d. $64.44
Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.
What is insurance?
insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.
A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.
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Answer:
A
Step-by-step explanation:
2.) f(x) is transformed to create the graph of g(x). Describe the
transformation
f(x) = |x|
g(x) = (x + 71
1x +
Ofis shifted up 7 units
7
Ofis shifted left 7 units
Ofis shifted right 7 units
7
Ofis vertically stretched by a factor of 7
Ofis shifted down 7 units
Answer:
2nd option
Step-by-step explanation:
given f(x) then f(x± a) is a horizontal translation of f(x)
• If + a then a shift to the left of a units
• If - a then a shift to the right of a units
g(x) = | x + 7 | ← with a = + 7
then g(x) is f(x) shifted 7 units to the left
Can anyone please help me? :)
Answer:
I think it is 20 pi units.
Step-by-step explanation:
Given:
h= 5 units
Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )
So now,
Volume of cylinder= pi*(r)^2 * h
= (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )
= 4pi* 5
= 20 pi units.
Hope it helps........
help fast!! (no links please.)
Answer:
C) 3.
Step-by-step explanation:
(3^2 + 2^2) - 2(3^2 - 2^2)
= (9 + 4) - 2(5)
= 13 = 10
= 3.
Answer:
C) 3
Step-by-step explanation:
When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.
( c^2 + d^2 ) - 2 ( c^2 - d^2 )
( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )
( 9 + 4 ) - 2 ( 9 - 4 )
( 13 ) - 2 ( 5 )
( 13 ) - 10
3
Which of these represents an individual form of life such as an animal, plant, or single-celled life form?
Organ
Organism
Organ system
Tissue
Answer:
organism
Step-by-step explanation:
all the other anwsers are what is inside a organism
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 11 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 34 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answer:
92.86%
Step-by-step explanation:
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?
Jill and Cheryl took 12 years and 18 years, respectively, to double their money.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.
[tex]\rm t = \dfrac{72}{r}[/tex]
where r is the interest rate and t be the time
The time for the Jill will be
[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]
The time for the Cheryl will be
[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]
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A rectangle measures 2
1
2
inches by 1
5
16
inches. What is its area?
Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².
What is the area of a rectangle?
The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:
A = lw.
In this problem, the dimensions in inches are given as follows.
[tex]l = 2\frac{1}{2} = 2 + 0.5 = 2.5[/tex].[tex]w = 1\frac{5}{16} = 1 + 0.3125 = 1.3125[/tex].Hence the area in squared inches is given by:
A = lw = 2.5 x 1.3125 = 3.28125 in².
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Simplify (- 20 - 3i) - (- 22 - 1i)
A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.
Simplifying the given expression:⇒ (- 20 - 3i) - (- 22 - 1i)
⇒ (- 20 - 3i + 22 + 1i)
⇒ (2 - 2i)
Therefore the simplification of the given expression is "(2 - 2i)"
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Which inequalities are true? Select the four correct answers.
O<
0 V8
OVE <3
V> 7
口<2
O /> 8
01
Step-by-step explanation:
Check the attached photo out
The bill is $100.99. You want to leave a 20% tip. How much should the tip be?
Answer:
$20.20
Step-by-step explanation:
First Convert 20% into a decimal, by dividing it by 100
Percent = out of 100
20/100 = 0.2
Now, multiply the decimal (0.2) with the bill amount ($100.99):
0.2*100.99
$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)
$20.20 <== how much tip you want to leave
How much you pay altogether:
(Bill + tip)
100.99 + 20.20
$121.19
Hope this helps!
The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month
The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg
Who is more likely to select an egg classified as large?The given parameters are:
Jen's Hen Farm
Mean, μ = 2.11Standard deviation, σ = 0.08Rick's Chick Farm
Mean, μ = 2.15Standard deviation, σ = 0.07The range of the egg distribution in both samples is calculated using μ ± σ
For Jen, we have:
μ ± σ = 2.11 ± 0.08
Expand
μ ± σ = (2.11 - 0.08, 2.11 + 0.08)
This gives
μ ± σ = (2.03, 2.19)
For Rick, we have:
μ ± σ = 2.15 ± 0.07
Expand
μ ± σ = (2.15 - 0.07, 2.15 + 0.07)
This gives
μ ± σ = (2.08, 2.22)
So, we have:
Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16
Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14
Eggs classified as large have the weight 2.0 < m ≤ 2.25
0.16 is greater than 0.14.
Hence, Jen's egg is more likely to be classified as large egg
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10. Jenn went to the farmer's market with $40. She brought a 10 lb bag of
potatoes for $6, a pie for $8,4 qt frest strawberries for $4 per qt, and 5 lb
of apples at $1. 49 per lb. What percent of the $40 did she still have when
she left? *
Answer:
Step-by-step explanation:
Find all the expenses:
potatoes: $6
pie: $8.4
strawberry: $4
apples: $1.49 * 5 => $7.45
total=> 6 + 8.4 + 4 + 7.45 = $25.85
Rule:
$40 = 100%
$25.85 = x%
=> x = ($25.85 * 100%) / $40 = 64.625%
hey double check if I added wrong, and if it is repeat the calculation,
hope it helps
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 1.125 minus t, and 20 left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 15 minus t, and 20 left-parenthesis 15 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 1.125 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 15 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 15 minus t right-parenthesis.
Answer:
right all about i think all are right