Since the dice is fair, each number (1 through 6) has an equal probability of appearing on each roll. The probability of rolling a six on any one roll is 1/6. Hence, 1/6 times of 480 is 80 times.
What is probability ?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.
To find the expected number of times Caroline would roll a six, we can use the formula:
Expected number of occurrences = Probability of occurrence x Number of trials
In this case, the probability of rolling a six is 1/6, and the number of trials is 480. Therefore, the expected number of times Caroline would roll a six is:
Expected number of times = (1/6) x 480 = 80
Therefore, Caroline would expect to roll a six 80 times out of 480 rolls.
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a standard toilet uses 1.6 gallons per flush. If a toilet is flushed four times per day, how much water will be used in a month(30days)?
Answer:
192 gallons
Step-by-step explanation:
1.6 gallons x by 4 (the amount of times flushed in a day) = 6.4 gallons a day
6.4x30 (days in a month) = 192
192 gallons of water is being flushed a month
Answer:
192 gallons
Step-by-step explanation:
Which system of equations has no solutions? y -
which of the following is NOT a monomial?
a. x-4
b. 22xy
c. 3
d. -11x
In the book club, the girl to boy ratio is 6 to 9. If there are a total of 45 students, how many girls are there
What is the value of the 3 in 16.35 ?
Answer:
3 tenths
Step-by-step explanation:
The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
We know, A number has two values face value and place value,
Given, A decimal number 16.35.
Now, The digit 3 is one digit after the decimal,
So, It has a face value of 3 and a place value of 3×10⁻¹.
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A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(x-2) inches. The perimeter of the triangle is 4(1/2x+2) inches. What is the perimeter of each figure?
Answer:
20 inches.
Step-by-step explanation:
We equate the perimeters:
5(x - 2) = 4(1/2x + 2)
5x - 10 = 2x + 8
5x - 2x = 8 + 10
3x = 18
x = 6
The perimeters = 5(6-2)
= 20 inches.
To make butter cream use butter and icing sugar in the ratio 1 : 2 . If I use 50g butter, how much icing sugar should I use?
Answer:
100 g
Step-by-step explanation:
You would multiply the butter by 2.
In which quadrant angle k lies, if tan k<0, an csc k >
Your answer:
A. Q11
B. Ql
C. QV
D. QIII
Answer:
A. QII.
Step-by-step explanation:
The tan < 0 in Quadrants 2 and 3.
The csc > 0 in Quadrants 1 and 2.
plss help (ZOOM IN TO SEE FULL PIC)
Answer:
20
Step-by-step explanation:
root 144+ 256= 400 root 400 =20(Pyto Th.)
so 20
if my answer helps please mark as brainliest.
Answer:
20
Using the formula of Pythagoras theorum 20 is the answer.
The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%
Answer:B
Step-by-step explanation:
2.45(0.35)= 0.8575+2.45= 3.30
Did I do it rightly?
Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years
Answer: £180
Step-by-step explanation:
The interest gotten for the 10 years will be calculated as:
= Principal × Rate × Time
= 150 × 2% × 10
= 150 × 0.02 × 10
= 30
The amount he has in the bank account at the end of the 10 year will be:
= Principal + Interest
= £150 + £30
= £180
Can you solve the equation?
Answer:
x=3 and 9
Step-by-step explanation:
; x-3=0
x=3 (change side change mark)
and
[tex] \frac{2}{3} x - 6 = 0[/tex]
[tex] \frac{2}{3} x = 6[/tex]
[tex]x = 6 \times \frac{3}{2} [/tex]
change side change mark.
So, x=9
If u wanna check the answer you can check by substitution x=3 and 9 in equation.
hope it helps you ☺️
Please helppppp I’m almost done with itttt
The answer is [tex]\frac{5}{10}[/tex]
And that is correct
Answer:
5/10
Step-by-step explanation:
can be reduced to 1/2 or 0.5
Name the slope and y-intercept of the graph of 3x - 2y = 18 A. B. 2 3 -6 6 C. -3.-9 D. 2 -9
Answer:
D. 3/2, -9
Step-by-step explanation:
First, rearrange the equation 3x - 2y = 18 into the slope-intercept form of y = mx + b:
3x - 2y = 18
2y = 3x - 18
y = 3x/2 - 9
from this, u can tell that the slope is 3/2 and the y-intercept is -9 (option D)
hope this helps!
Evaluate the expression for the given value of x.−4x + 7 for x = −4
Answer:
23
Step-by-step explanation:
-4x+7
-4(-4)+7=16+7=23
Answer:
23
Step-by-step explanation:
-4x + 7 =
-4(-4) + 7 =
16 + 7 = 23
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
4х + Зу = -6
5х – бу = -27
Answer:
x=3
y=7
Step-by-step explanation:
Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
Answer:
15400 ÷ 6/100
Step-by-step explanation:
next step do yourself
I hope it will help you
Can you help me please?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.
Which expression is equivalent to -4x - 36?
Answer:
if it's not multiple choice, I'd say 36 + 4x
Step-by-step explanation:
Commutative property
Answer:
D.) -4(x + 9)
Step-by-step explanation:
Plz mark brainliest
A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below. Colour Red Green Brown Yellow Probability 0.2 0.3 x 0.1 Find the probability of selecting a brown marble.
Answer:
0.4
Step-by-step explanation:
Given that:
Probability of :
Red _____Green ___ Brown _____ Yellow
0.2 ______ 0.3 ______ X ________ 0.1
Since the bag contains only red, green, brown and yellow marbles ;
The sum of each color's probability should sum up to 1;
ΣP(x) = 1
Hence,
0.2 + 0.3 + x + 0.1 = 1
0.6 + x = 1
x = 1 - 0.6
x = 0.4
P(brown) = 0.4
State the slope and y-intercept of the graph of y+2x=3
Answer:
Slope(m)=2x
y-intercept(b)=3
Step-by-step explanation:
Answer:
Slope is -2x, Y-Intercept is 3
Step-by-step explanation:
You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides
I NEED HELP FAST PLEASE !!!!!!!!!!! The grade of a hill steepness represented as a percent. Jim tracks his walking speed up different hills. What does the rate of change , or slope , represents in this situation a= the rate represents an increases in speed for each 1% b= the rate represents a decrease in speed for 1% grade c = the rate represents a decrease in speed for each 1% grade increase D= the rate represents no change in speed for each 1% grade decrease
Answer:
C
Step-by-step explanation:
slope=walking speed /%
negative slope
so that rules out a and d
and you can see that as the percent increases the speed decreases.
so I think It would be C.
Help I need this now
Answer:
There is no question showing up so I dont know how to help u
Step-by-step explanation:
pls HELP!! Jameson is taking a multiple-choice test and he doesn't know an answer. He can answer A, B, C, D or E. What is the probability that he will guess correctly? Give your answer as a percent.
Simplify 5a – (2a + 6)
Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
..........................
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
A lot runs between two parallel streets. The length of the lot on one of the streets is 160-ft. The length of the lot on the other street is 100-ft. The area of the lot is 14,170 square feet. How far apart are the two streets?
Answer:
Step-by-step explanation:Area = 1/2(b1 + b2)x h
Area = 18,000 ft^2
b1 = 80 ft
b2 = 100 ft
18,000 = 1/2(80 + 100) x h
36,000 = (180)h
h = 36,000/180
h = 200ft.
This is the distance between streets.
Hope this helps :-)Area = 1/2(b1 + b2)x h
Area = 18,000 ft^2
b1 = 80 ft
b2 = 100 ft
18,000 = 1/2(80 + 100) x h
36,000 = (180)h
h = 36,000/180
h = 200ft.
This is the distance between streets.
Hope this helps :-)
Evaluate 2x when x = 4
COULD SOMEONE HELPP