The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The total number of books will be
Total books = 5 + 7 + 8
Total books = 20
The total number of the event will be
[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]
The favorable event will be
[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]
The probability of choosing three mysteries books will be
[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]
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Answer:
D
Step-by-step explanation:
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?
not choosing a mystery
choosing at least one mystery
choosing three mysteries
not choosing all mysteries
D is the right answer
6.
Rahman sets off by car to his office at 08 55. He takes 20 minutes to arrive at his office, What time does he
arrive at his office?
huh its was so hardd can someone explain and solve it for me? :(
Answer:
he will arrive at work by 9:25 to push the time but its rea£y 9:20
100 BRAINLY POINTS!!!
Kayla recorded her baby sister's height, y, in inches, each month, x. The scatterplot shows her results.
Kayla modeled the data approximately with the linear function y = 0.75x + 15. What does the slope of the line represent?
A. Her sister grew about 15 inches each month.
B. Her sister grew about 1 inch every 15 months.
C. Her sister grew about 0.75 inch each month.
D. Her sister grew about 1 inch every 0.75 month.
PLEASE HELP ME CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
C. Her sister grew about 0.75 inch each month.Step-by-step explanation:
Given function:
y = 0.75x + 15The function is linear and it represents:
y - current heigt of babyx - number of months passed0.75 - the slope is the monthly growth rate15 - the y-intercept, is the initial height of babyAccording the above explanation the correct answer choice is C
Slope intercept form of a line is given by y=mx+b
Compare to our given function
y=0.75x+15Here
Slope=m=0.75As it's about height
The rate of change in height is denoted here
Option C is correct
It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?
Answer:
Miami
Step-by-step explanation:
First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.
I will convert Miami's temp, to farenheit:
[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]
Miami: 95°F
Chicago: 75°F
Therefore, Miami is the warmer town.
Hope this helps!
It cost marci 33 cents to mail a postcard and 49 cents to mail a letter. she sent either a postcard or a letter to each of 28 people and spent $13.08. let x represent the number of postcards she wrote and write an algebraic expression for each item in parts a through c.
Answer:
24 Letters and 4 Postcards
Step-by-step explanation:
We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".
Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.
The second equation is the total sent: x + y =28.
Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.
We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.
If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.
Subtract 9.24 from both sides to get: 0.16y = 3.84
Divide both sides by 0.16 to get: y = 24.
Now we can plug this into x + y = 28 to see that x= 4.
You could make sure this is correct by solving for x instead of y and do the same process.
Hope this helps.
Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %
Step-by-step explanation:
Given:-
MP = Rs 540. Discount = 5 %To Find:-
Sell priceSolution:-
SP = MP - Discount.
MP = Marked Price ( Also called List Price) SP = Selling Price.Discount = (Discount %) of MP
Discount = (5/100) 54p
Discount = 27 Rs
Subtract discount from MP to get SP
SP = MP - Discount
SP = 540 - 27 Rs
SP = 513 Rs
Answer;
soln;
MP= Rs 540
discount = 5%
now,
SP = MP - D% of MP
= 540 - 5/100 * 540
=Rs 513
Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:
(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular
Answer:
Step-by-step explanation:
Matt says that 5 - 1 1/4 will be more than 4, since 5 1 is 4. Draw a picture to prove that Matt is wrong.
Answer:
Step-by-step explanation:
Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections. 1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.
Hope this helps!
ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
Step-by-step explanation:
about circle R
arc angle MP = angle MRP = 78°
angle M = angle LMP.
according to the rules of inscribed angles, LMP is half of angle LRP.
LRP + MRP = 180° because together they cover the whole LM segment (half-circle).
LRP = 180 - MRP = 180 - 78 = 102°
so, LMP = angle M = 102/2 = 61°
also circle R (with arc ULNP)
the arc ULNP = arc UL + arc LN + arc NP = 160°
due to the congruent definition of JU and MP we know that arc UL = arc NP.
and we know arc LN = arc JM = 18°.
so,
160 = 2×arc NP + 18
142 = 2×arc NP
arc NP = 71° = arc UL
now, because arc MP + arc LP = 180 (half-circle),
arc MP = 180 - arc LP = 180 - arc LN - arc NP =
= 180 - 18 - 71 = 91°
about the circle R with 2 congruent chords :
the second answer : they are equidistant from R (the center of the circle).
about circle W
arc MK + arc KL = 180° (half-circle).
and we see
arc HL = arc KL = 53°.
so,
arc MK + 53 = 180°
arc MK = 180 - 53 = 127°
about circle M
arc QTS = 204°.
therefore, arc QRS = 360 - arc QTS = 360 - 204 =
= 156° = angle QMS.
according to the rules of inscribed angles
angle QTS = QMS/2 = 156/2 = 78°
Need step by step explanation please.
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
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A bike shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?
Answer:
There are 24 bicycles and 11 tricycles in the shop
Step-by-step explanation:
We can make a system of equations to find the answer:
x for bicycles and y for tricycles:
x + y = 35
2x + 3y = 81
2x because bicycles have 2 wheels, 3y because tricycles have 3 wheels, and have set the total to 81 because 81 wheels in total.
Solving, we will find that there are 24 bicycles and 11 tricycles in the shop.
write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answer:
you need 32 eggs
Step-by-step explanation:
48 divided by 12=4
8x4=32
Answer:
2 eggs
Step-by-step explanation:
take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.
4 1/5 tons = how many ponds
Answer:
Step-by-step explanation:
21/5*2000= 21*400= 8,400 pounds
Answer:
[tex]\displaystyle 8400\:lbs.[/tex]
Explanation:
On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:
[tex]\displaystyle \boxed{8400} = 2000[4\frac{1}{5}][/tex]
I am joyous to assist you at any time.
You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 4 and then picking an odd number?
Answer:
2/9Step-by-step explanation:
All numbers:
2, 3, 4 → 3
Numbers less than 4:
2 and 3 → 2
Odd number:
3 → 1
The probability of picking a number less than 4:
2/3The probability of picking an odd number:
1/3The probability of picking a number less than 4 and then picking an odd number:
2/3 · 1/3 = 2/9Julia’s gross pay was $4,500 last year. the federal income tax withholding from her pay was 13% of her gross pay. julia determined the federal income tax she owes is $495. how much of a refund can julia expect? $64.35 $90.00 $430.65 $585.00
The amount of the refund Julia gets as a federal income tax will be $90.
What will be Julia's refund?It is given in the question:
Julia's gross pay = $500
federal income tax withholding from her pay was 13% of her gross pay
federal income tax she owes is = $495
To find out the refund we will first find the amount of Federal income which is 13% of the gross pay.
[tex]\rm federal \ amount =\dfrac{4500\times 13}{100} =585[/tex]
The refund Julia will get will be
[tex]=585-495=90[/tex]
Hence the amount of the refund Julia gets as a federal income tax will be $90.
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Find the total amount
$20,700 at 9% compounded
semiannually for 4 years
Answer:
41,246.046 which could be rounded to .05 cents at the end.
Step-by-step explanation:
[tex]20700(1.09)^8[/tex]
we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.
hope this helps, please rate and mark as brainelst.
Find the median and mean of the data set below:
Answer:
27=mean. 30=Median
Step-by-step explanation:
trust me I know what I'm doing
what is the answer to this problem (8+2)³-6
Answer:
994
Step-by-step explanation:
(8+2) = 10
10^3 = 1000
1000 - 6 = 994
Answer:
994
Step-by-step explanation:
(8+2)³-6
10³-6
1000-6
994
Hope that helps!
Help on this please.
Answer: 46 degrees
Step-by-step explanation:
Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.
Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.
Part A: Describe a transformation (or series of transformations) that one could do to get from the
original to image below. Be as specific as possible.
Part B: Are these figures congruent? how do you know?
Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.
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use prime factorisation to find the hcf of 612 and 1314
Answer:
Step-by-step explanation:
612: 2*2* 3 * 3 * 17
1314: 2* 3 * 3 * 73
The highest common factor is 2 * 3 * 3 = 18
17 and 73 are both prime, so the factoring stops there.
What is equilibrium, from an economic perspective? a. the theoretical price point at which demand equals supply b. a state of "all other things being equal" c. a condition in which no buying or selling is occurring d. an economy functioning without outside intervention
Answer:
A theoretical price point at which demand being equal
The theoretical price point at which demand equals supply is the correct answer.
What is equilibrium?Equilibrium is a state of balance or condition of stableness.
In economics, equilibrium is also the same, it is a condition in which prices become stable by the balance of market supply and demand.
It is a situation in which conditions cannot be changed by any economic agent strategy.
There are some properties of equilibrium
1. Consistency in the behavior of agents.
2. No economic agent has an incentive to change the behavior.
3. Equilibrium is the outcome of a few dynamic processes.
Therefore, the theoretical price point at which demand equals supply is the correct answer.
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Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16
[tex]\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}[/tex]
one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.
since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.
PLEASE HELP I NEED TO TURN THIS IN QUICKK
Answer:
QUienn quieres ser mi ami
Step-by-step explanation:
xd
If you move from zero to 15 on the number line, you are representing all of the following except
the absolute value of 15
the distance between zero and 15
the opposite of -15
the opposite of 15
Answer: the opposite of 15
Step-by-step explanation:
What is the solution to the problem expressed to the correct number of significant figures? 15. 11 (142 × 16. 5) = ? A. 2,358 B. 2,358. 1 C. 2,360 D. 2,400.
The solution to the problem expressed 2358.
What is the meaning of significant figure?Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.
Therefore we get,
[tex]15.11+(142\times16.5)[/tex]
First we have to multiply the given digits as per rule.
[tex]=15.11+2343[/tex]
Now we will add both the digits, we get
[tex]=2358.11[/tex]
As per given expression, we conclude that the number of significant figure is 4.
So, the answer will be, 2358.
Therefore, the correct option is, 2358.
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Scale word problem
Someone please help!!
Answer:
60.6 cm length
43.2 cm width
Step-by-step explanation:
The scale is 1 m = 6 cm
Take the length in meters, multiply it by 6, and change the unit to cm.
10.1 m becomes 10.1 × 6 cm = 60.6 cm
7.2 m becomes 7.2 × 6 cm = 43.2 cm
Find base of triangle on coodinate plane 8,2 and 6,2
Answer:
The base of this triangle is 2 units wide
Step-by-step explanation:
Your explanation is in the picture shown below!!!
Determine the scale factor for each reduction.
a) Quadrilateral B is a reduction of quadrilateral A.
b) Quadrilateral C is a reduction of quadrilateral A.
c) Quadrilateral B is a reduction of quadrilateral C.
Answer:
c
Step-by-step explanation:
Describe what happens to a figure when the given sequence of transformations is applied
to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)
The transformation rule used are the reflection over the y-axis, dilation and vertical and horizontal shift.
Transformation of coordinatesThe translation rule for reflection of the coordinate point (x, y) across the y-axis is (-x, y)
The rule (x, y) → (0.5x, 0.5y) shows a dilation of the coordinate (x, y) by a factor of 0.5. It will reduce the size of the resulting figure since the factor is less than 1.
The rule (x, y) → (x - 2, y + 2) shows that the figure then shifted horizontally by 2units to the right and up by 2units.
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