Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
Find the distance between the two numbers on a number line −7,−323
Answer:
-316
Step-by-step explanation:
...................
Help please please please
Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3
Answer:
A
Step-by-step explanation:
r−5r−6s+8s−15 what is the answer for this equation
Step-by-step explanation:
r-5r-6s+8s-15
-4r+2s-15
= 2s-4r-15
The simplified form of the given expression is -4r+2s-15.
The given expression is r-5r-6s+8s-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be solved as follows:
r-5r-6s+8s-15
= -4r+2s-15
Therefore, the simplified form of the given expression is -4r+2s-15.
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Hi I'm struggling with this equation 1/2 * (- 4 + 12) + 3(1/3 * x + 6) = 3/4 * (- 16x + 8) and need help
Answer:
im not sour if this is what you want but i got 1.3 repeating
Step-by-step explanation:
u simplify in ur head
What is the slope-intercept equation of the line below?
Answer:
the answer is C hope this helps
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint
Answer:
10:18 10 gal of blue paint and 18 gal of yellow paint.
Step-by-step explanation:
Answer:
i'm going to guess either 5:9 or 9:5...
Step-by-step explanation:
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)
Answer : 12z - 32
Explaination:
Uhhh yeah math?
On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY
A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.
is it possible to build a triangle with lengths of 5 7 12
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.
Answer:
d
Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,
I BET YOU CANT SOLVE THIS
Answer:
Step-by-step explanation:
5 x ( 9 + 4 ) = ( 5 x __ ) + ( 5 x __ )
using distributive property,
the answer is
( 5 x 9 ) + ( 5 x 4 )
if u want the final answer
it becomes
45 + 20
= 65
Hope this helps
plz mark as brainliest!!!!!!!!
A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?
A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000
Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.
Hoped this helped!
Select all intervals in which the function P(t) is decreasing
Answer:
we conclude that the intervals in which the function P(t) is decreasing are:
x < 13 < x < 4Step-by-step explanation:
At x< 1, the function P(t) is decreasing
A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xFrom the figure, it is clear that the function seems to be increasing
from (1, 3) and then 4 to onwards.
But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).
Therefore, we conclude that the intervals in which the function P(t) is decreasing are:
x < 13 < x < 4what 2-7/8 divided by 3/4
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
1a) How much does each person pay when 6 people share the cost of a meal
costing $100?
Answer:
16.66
Step-by-step explanation:
Answer:
16.6666666667
Step-by-step explanation:
you take 100 and divide it by 6 and you will get 16.6666666667 or if you round it you will get 17 dollars
If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)
The given function is
[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]
The inverse function is
[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]
To get the inverse, we swap each x and y coordinate.
The rule is [tex](x,y) \to (y,x)[/tex]
So that's why the point (0,1) becomes (1,0) for instance.
Principal=$100 rate=5% years=3 what is the interest?
Answer:
Interest would be $15 every 3 years
Step-by-step explanation:
Interest = Principal x Rate x Time
Interest = 100 x 5% x 3
Interest = 5 x 3
Interest = 15
Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
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In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)
Answer: (0.1118, 0.3454)
Step-by-step explanation:
Confidence interval for population proportion is given by :-
[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.
Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.
Given : n= 35
[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]
Critical z-value for 90% confidence level =1.645
A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:
[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]
∴ Required confidence interval : (0.1118, 0.3454)
use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01
Answer:
182.353745455
Answer:180
Step-by-step explanation:
Whoever answers this gets brainlist!
Answer: 5^5.
Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.
Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?
Answer:
he would get 10$
Step-by-step explanation:
if you divide 500 by 1 you get 5 times that by 2
boys:total students = 2:9, girls = 21, boys =
Answer:
6 boys
Step-by-step explanation:
Subtract to find the total number of girls.
9 - 2 = 7 girls
Write a ratio from boys to girls.
2:7
Divide to find the scale factor.
21 / 7 = 3
Multiply to find the total number of boys.
3 * 2 = 6
Best of Luck!
Someone help me with this please
Answer:
pretty sure it's B, its just really hard to see
Step-by-step explanation:
Can y’all answer the middle one Ill mark you brainlist.
Answer:
4.44 infinet
Step-by-step explanation:
If you are asking and need to round it up it will come up to
4.444
You need to round it up because the 4.444 goes on and on infinitely.
If you needed another answer comment what it is you need and I will answer you on there.
YW