Multiply the amount of book Robin read by 1/2.
3/4 x 1/2 = 3/8
Mark read 3/8 of the book.
If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?
Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]
[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]
Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]
[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]
Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]
[tex]P({sum\geq 13})=0[/tex]
Therefore, the probability of getting a sum of 13 or more is 0.
A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your map?
A jar contains only nickels, dimes and quarters. There is at least one of each type of coin in the jar. If the total value of the coins in the jar equals 60 cents, how many quarters are in the jar?
Answer: There is 1 quarter in the jar
Step-by-step explanation:
First, we see that there needs to be at least one coin of each; a nickel, a dime, and a quarter.
5+10+25=40 (cents)
A quarter is worth 25 cents, and the total value is only 60, so it is impossible for the quarter value to be more than one, otherwise breaking the total value of 60 cents.
Answer:
1
Explanation:
I did that questions in a Mathcounts competition
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
give the numerical coefficient of the term x
the numerical coefficient is?
Answer:
1
Step-by-step explanation:
The numerical coefficient of every variable with no visible coefficient in front of it is always 1, since 1 multiplied by a number (or variable) is itself.
PLEASE ANSWER FAST
A principal spent $1560 total on "c" calculators for his school. Which
expressions shows the cost of ONE calculator.
A. c+ 1560 B. 1560c C. 1560- c D. 1560/c
Answer:
1560/c
Step-by-step explanation:
if you divide 1560 by c the value you get will be the cost of one calculator.
Answer:
The answer is D. 1560/c
Step-by-step explanation:
If you divide 1560 by c you will get the cost of one calculator.
Heyyy yugiii :)) what’s 20 times 50 minus 16 plus 28?
Answer:
hey do you want to do a zoom
Step-by-step explanation:
i am done with my basketball game
Simplify 6.9y+2.4y please help me
Answer:
6.9y+2.4y
= 9.3y
Hope it helps u,
pls put thanks and pls mark as the brainliest
HELP WHOEVER IS FIRST GETS BRAINLIST!!!
Answer:
y = (-2/5)x + 3
Step-by-step explanation:
(2/5)x + y = 3
y = (-2/5)x + 3
Please help me solve this problem!
Answer:
The line would be a diagonal line that is negative(pointing down).
You can use Desmos Graphing Calculator to help you even more! :)
A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?
Answer:
48 cm
Step-by-step explanation:
64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.
A pod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet. What info does does this tell you about the length of dolphins in this pod?
The median represents the middle value of the data 5.8 feet will be the middle value.
What is the median?The median represents the middle value in a dataset. The median is important because it gives us an idea of where the center value is located in a dataset. The median tends to be more useful to calculate than the mean when a distribution is skewed and/or has outliers.
Given that apod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet.
From the definition, we can see that of the 800 dolphins the length of the middle dolphin is 5.8 feet because it is a median and the upper values will be greater than 5.8 feet and below it all the dolphins will have smaller lengths.
Therefore, the median represents the middle value of the data 5.8 feet will be the middle value.
To know more about median follow
https://brainly.com/question/23962563
#SPJ2
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Answer:
7.2 minutes
Step-by-step explanation:
You can just divide 18 minutes by 2.5, and you will get 7.2 minutes per mile. Hope it helps!
Find the area of a rectangle with length of 3 inches and width of 8 inches.
Area = _____ square inches.
Answer:
24 in
Step-by-step explanation:
L × W = A3 × 8 = 24 inI hope this helps!
Answer:
24
Step-by-step explanation:
lXw= area
Which of the following equations has a solution of x = 5
10x/2=1
2 (x – 3) + 8 = 6x – 18
2x – 5 + 3x = 8 + 14
O 4(1 - 2) + 3 = -2 (2 + 2) + 1
Answer:
equals 345762819
Step-by-step explanation:
i dont know for short i just want a points
can someone help me solve this system. thanks
2y = 6
3(x + y) = 12
Answer
y=3 x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
subtract 9 from both sides to get...
3x=3
divide 3 from both sides to get...
x=1
Step-by-step explanation:
this is very easy
2y=6
y=2/6=3
so ,
3(x+y)=12
3x+3y=12
3x+3+3=12
3x+9=12
3x=12-9
3x=3
x=3/3
x=1
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
1
Mr. Baker calculated the area of 4 different styles of rugs. The areas of the 4 rugs are shown.
OS
MARULUGARES PARA
P
ALETICO
ZORLUFERITY
A = 50 m2
A5 m2
A = 2 m2
A = 15 m2
Whlch list shows the rugs in order from least area to greatest area?
A
Oval Rug, Square Rug, Circular Rug, Rectangular Rug
B Oval Rug, Square Rug, Rectangular Rug, Circular Rug
C Square Rug, Oval Rug, Rectangular Rug, Circular Rug
D
Circular Rug, Rectangular Rug, Square Rug, Oval Rug
what does -11/2 - 7/3 equal
Answer: - 47/6 or in mixed number form - 7 5/6
Step-by-step explanation:
Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
Solve the inequality for x.
–3x – 3 < –63
Answer:
ill help:)
Step-by-step explanation:
Answer:
x < 20.
Step-by-step explanation:
-3x-3<-63
+3 +3
-3x<-60
÷-3. ÷-3
x<20
What is the solution for the system of equation
Y=-2x+8 y=x-4
Answer:
(x , y) = (28/5 , 8/5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x , y) = ( 28/5 , 8/5 )
Pls help me!!!!!!!!!!!
Answer:
1) y-4+1(x-5)
Step-by-step explanation:
With point-slope form, you just have to substitue the information that is given to you into the generic formula.
y-y1= m(x-x1)
so the y1 is the y value of the point that is given to you and x1 is the x value of the point that is given to you
m is the slope (also given)
and x and y just stay the same; x &y
Dao has 2 38 pounds of hamburger meat. He is making 14pound hamburgers. Dao has enough meat to make 10 hamburgers. True Or False?
heyyy so like hellpppp me out
Answer:
gotta be C
Step-by-step explanation:
PLEASE HELP and solve
Item 3 Find the distance from point $A$ to $\overleftrightarrow{XZ}$ . Round your answer to the nearest tenth. Triangle X Z A and line X Z are plotted on a coordinate plane. The x-axis ranges from negative 5 to 5, in increments of 1. The y-axis is ranges from negative 5 to 5, in increments of 1. Point X is at ordered pair negative 4 comma negative 3, point Y is at ordered pair 2 comma negative 1.5, point A is at ordered pair 3 comma 3 and point Z is at ordered pair 4 comma negative 1. Angle A Z X is marked with a right angle.
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Tyler ran 4,200 meters in 30 minutes. • Kiran ran 6,300 meters in 1 hour. . Mai ran 6.3 kilometers in 45 minutes. 2. At what rate did each of them run?
Answer:
rate of Tyler = 8.4 Km/hour
rate of Kiran = 6.3 Km/hour
rate of Mai = 8.5 Km/hour
Step-by-step explanation:
Rate is the speed with which each ran
speed = total distance covered/total time taken to cover that distance
we will use unit km/hour for speed calculation
_____________________________________________________________
For Tyler
distance = 4200 m
1000 m = 1 km
4200 m = 1/1000 *4200 km = 4.2 KM
time = 30 minutes
60 mins = 1 hour
30 minutes = 1/60 *30 hour = 0.5 hours
thus,
speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour
_____________________________________________________
For Kiran
distance = 6300 m
1000 m = 1 km
6300 m = 1/1000 *6300 km = 6.3 Km
time = 1 hour
thus,
speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour
_____________________________________________________
For Mai
distance = 6.3 Km
time = 45 minutes
60 mins = 1 hour
45 minutes = 1/60 *45 hour = 0.75 hours
thus,
speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour
Use the graph to find the midpoint between O and H.
(4, -1)
(-2, 8)
(8, -2)
(-1, 4)
Answer:
(-1, 4)
Step-by-step explanation:
-5+3/2 = -1
6+ 2/2 = 4
(-1, 4)
Which of the choices below best describes the domain and range of this problem. Domain would be tickets sold and range would be amount of money he collected. Elijah has already sold $40 worth of tickets for a local raffle. He has 5 tickets left to sell at $5 per ticket.
Answer:
Step-by-step explanation:
Amount of ticket sold = $40
If one ticket is $5, we need to know the amount of ticket he sold that fetched Elijah $40
$5 = 1ticket
$40 = x tickets
Cross multiply
5x = 40
x = 40/5
x = 8tickets
If he has 5tickets left to sell at $5 per ticket, the total tickets the sold will be 8+3 = 13 tickets
The domain of the problem will be [1, 13]
For the range:
The amount of the remaining 5tickets will be (5×$5) = $25
Initial amount made = $40
Total amount he collected = $25+$40
= $65
The range if the problem will be [$5, $65]