Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
Answer:
[tex]Pr = \frac{1}{216}[/tex]
Step-by-step explanation:
The sample space of a single dice is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
[tex]n(6) = 1[/tex]
In a roll of dice, the probability of rolling a 6 is:
[tex]P(6) = \frac{n(6)}{n(S)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
In 3 rolls, the probability is:
[tex]Pr = P(6)^3[/tex]
[tex]Pr = [\frac{1}{6}]^3[/tex]
[tex]Pr = \frac{1}{216}[/tex]
2>10+4n how would you graph this
What is the area of the trapezoid below?
Answer:
A = 180 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
The triangle on the left is right with h = 24 (7- 24- 25 triangle )
Here h = 24, b₁ = 4 and b₂ = 7 + 4 = 11 , then
A = [tex]\frac{1}{2}[/tex] × 24 × (4 + 11) = 12 × 15 = 180 units²
Help me out here plz
Answer:
I think that it would be [tex]28^{2}[/tex] cm
Step-by-step explanation:
8 x 7 = 56
56/2 = 28
**EASY**
Determine the intercepts of the line -
2x + 5y = -6
Y-intercept: (_ , _)
X-intercept: (_ , _)
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
Volume of big cylinder = 1,438.76 cm (Approx.)
Step-by-step explanation:
Given:
Height of smaller cylinder = 3 cm
Height of big cylinder = 6 cm
Volume of smaller cylinder = 30 cm³
Find:
Volume of big cylinder
Computation:
Volume of smaller cylinder = πr²h
(22/7)(r²)(3) = 30
Radius of small cylinder = 1.783 cm (Approx.)
So,
Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)
Volume of big cylinder = πr²h
Volume of big cylinder = (22/7)(3.566)²(6)
Volume of big cylinder = 1,438.76 cm (Approx.)
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it
What is the equation of this
Answer:
it's correct
Step-by-step explanation:
What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.
Answer:
240/(v+40) + 1 > 240/v
Step-by-step explanation:
Both parties traveled a distance of 240 km.
Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1
Jacksons took off at average speed of v km/h: 240/v
An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v
How to write an inequality?We are told that distance travelled by both Jackson and Simpson is 240 km each.
Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v
The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;
Time taken = [240/(v + 40)] + 1
Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v
Read more about Inequality at; https://brainly.com/question/25275758
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After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
How much will the monthly payment be for a 2 year old used car that's is priced at 13995 of the current finance rate is 48 months at 4.36% ? You will finance the 8% tt&l and make a 30% down payment
Answer:that’s a tough one
Step-by-step explanations just need some credit on brainly
Which expression is not a polynomial?
Use the net to find the surface area of the rectangular prism
Answer:
52
Step-by-step explanation:
Find the 53rd term of the arithmetic sequence -12, -1, 10
440 is the answer
Tn=a+(n-1)d
Tn=53
a= -12
n=53
d= 11
-12+(53-1)11 = 440
Answer:
560Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
Since we're finding the 53rd term
a = - 12
n = 53
d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11
d = 11
So we have
A(53) = - 12 + (11)(53 - 1)
= - 12 + 11(52)
= -12 + 572
= 560
We have the final answer as
560Hope this helps you
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
Help me please and thank you x
hope this helps:
x is 10 degrees...
please help me figure this out!!
Rewrite the expression in the form k*x^n
(16/x^3)^1/4
Answer:
2*x^(3/8)
Step-by-step explanation:
Answer:
2*x^(3/8)
Step-by-step explanation:
khan
Spider Rock is located in Canyon de Chelly National Park in Arizona. A surveyor stands 370 feet from the base of Spider Rock. From a point 5.5 feet above the ground, he measures the angle of elevation to the top of Spider Rock to be 65°. According to the surveyor's measurements, what is the height of Spider Rock? Round your answer to the nearest tenth. A. 178.0 ft. B. 340.8 ft. C. 413.7 ft. D. 799.0 ft.
Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet
4) x/5 =2
plz explain
Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen
Answer: 30 meters.
Step-by-step explanation:
Since the scale used by Bruce in the drawing that she made is:
1 milimeter = 10 meters
If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:
1/3 = 10/x
Cross multiply
1 × x = 3 × 10
x = 30
Therefore, the actual length is 30 meters.
SOMEONE HELP ME PLEASE PAST DUE!! No websites allowed!
Give me the answer for the blanks
Airplane
Boat
Bike
The clues are at true bottom
Answer:
Airplane goes 550 mph
Bike goes 9 mph
Ship goes 27 mph
Step-by-step explanation:
The airplane goes 1,925 every 3.5 hours
Divide 1925 by 3.5
1925/3.5 = 550mph
Do the same thing with the bike’s numbers:
45/5 = 9
So 9mph
And again with the ship:
432/16 = 27
It also says its three times as fast as the bike so:
9 x 3 = 27
So the ship goes 27 mph
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
Which two of the following have the same value as 50.96?
Choose 2 answers:
Answer:
A and C
Step-by-step explanation:
A: 5 tens = 50
9 tenths = 0.9
6 hundreths = 0.06
= 50.96
C: 5*10 = 50 + 9 * 1/10 = 0.9 + 6 * 1/100 = 50.96
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
Subtracting fractions with unlike denominators
the product of 5 and a number X is 22
i dont need what it equals
Inverse operations to the rescue!
So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4
Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages
Solve the right triangle. Round decimal answers to the nearest tenth.
B
14
6
А
b
С
In AABC, ~ .mA
7, and m_B~
Answer:
b=12.6
m<A=25.4
m<B=64.6