Answer:
Step-by-step explanation:
32/40
=0.8
so it's 20% off since it's a decay.
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)
Answer:
The probability that there is at least one pair but not a three of a kind is 0.6944.
Step-by-step explanation:
We have the case when we have five dices and we roll them and we need that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.
Total no of outcomes = [tex]6^5 = 7776[/tex]
We will consider the other cases and then subtract them from the total outcomes.
No of outcomes of 5 of a kind = 6
No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150
No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300
No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200
No of outcomes when all are different = 6! = 720
These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.
Total cases = 6+150+300+1200+720
= 2376
Required no of outcomes = 7776-2376 = 5400
Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944
Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.
construct a 2x2 matrix whose element are given by i+j
9514 1404 393
Answer:
see below
Step-by-step explanation:
Assuming i and j refer to the row and column of a given element, that matrix would be ...
[tex]\left[\begin{array}{cc}2&3\\3&4\end{array}\right][/tex]
__
Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.
A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g (/), is proportional to the number of
seconds, t (x), that the water is running.
What is the constant of proportionality? k=-
help
Answer:
The constant of proportionality = k = 2/5
Step-by-step explanation:
Given that a garden hose fills a 2-gallon bucket in 5 seconds.Also given that The number of gallons, g (/), is proportional to the number of
seconds, t (x).
i.e.
g ∝ t
g = k × t
k = g / t
as
g = 2
t = 5
Thus,
k = g / t
= 2 / 5
Thus, the constant of proportionality = k = 2/5
How do you know (2,1) is a solution to 4x +y=9
4x+y=9
4(2)+(1)=9
8+1=9
9=9
It is a solution
Answer:
9=9
Step-by-step explanation:
Solution:
x = 2
y = 1
4x+y=9
4(2) + (1)=9 (here 4 and 2 are multiplying with each other, so 4x2= 8)
8+1=9
9=9
√2x-7+X= 5
Solve the equation with work shown below
Answer:
[tex]x=12(\sqrt2-1)[/tex]
Step-by-step explanation:
The given equation is :
[tex]\sqrt{2} x-7+x=5[/tex]
Add 7 to both sides of the equation.
[tex]\sqrt{2} x-7+x+7=5+7\\\\\sqrt{2} x+x=12[/tex]
Taking x common from both sides of the equation.
[tex]x(\sqrt{2} +1)=12\\\\x=\dfrac{12}{\sqrt2+1}[/tex]
Multiplying both numerator and denominator by [tex]\sqrt2-1[/tex]
[tex]x=\dfrac{12}{\sqrt2+1}\times \dfrac{\sqrt2-1}{\sqrt2-1}\\\\=\dfrac{12(\sqrt2-1)}{2-1}\\\\=12(\sqrt2-1)[/tex]
Hence, the value of x is [tex]12(\sqrt2-1)[/tex].
pleasee help me find the slope
Answer:
The slope is m=1/2
Step-by-step explanation:
hope this helps you.
how do i write 5,972,000,000,000,000,000,000,000 in scientific notation
Answer:
In order to write this in scientific notation, we must move the decimal from the beginning all the way to between the 5 and the 9
Note: you can move the decimal anywhere you want but typically scientific notation will have the decimal in between the first and second digit.
Since we move the decimal 24 digits to the right, our answer will be
5.972 * 10^24
or
5.972E24
Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!
what is y equal to 2x + 4y = -18
Slope = -1/2
Y intercept = -9/2
=====================================================
Work Shown:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Answer:
Step-by-step explanation:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Use area model to find the product of 26 x 14.
Answer: 364
Step-by-step explanation:
The population of a city was approximately 232,000 people, and it increased by 8% in one year. What was the new populatio
Answer:
250560
Step-by-step explanation:
232000*1.08=250560
is 0.01 less than 0
Answer:
no
Step-by-step explanation:
No 0.01 is not less than 0
Because 0 means nothing
And
0.01 means have something
So
0.01>0
Which expression gives the best estimate of 45 percent of 76?
One-fourth (80)
One-fifth (80)
One-half (80)
StartFraction 1 Over 9 EndFraction (80)
Answer:
1/2 of 80Step-by-step explanation:
45% is close to 1/2 (50%) and 76 is close to 80, so 1/2 of 80 is the best answer.
1/2 of 80 is 40
45% of 76 is 76 x 0.45 is 34.2
Answer:
1/2 of 80
Step-by-step explanation:
How many solutions does the equation 5x + 10 = 5x − 8 have
what is the percent of change from 4,000 to 7,000
Answer:
(7000-4000) will make 4000x100 =
(7000:4000-1)x100 =
175-100 = 75
the percentage increase from 4000 to 7000 by 75%
Answer:
75%
Step-by-step explanation:
(7000-4000):400*100
(7000:4000-1)*100
175-100= 75
75%
Original price:$23.99;markdown 30%
A)$7.20
B)$16.79
C)$31.19
D)$15.80
Thank you!
Answer:
B
Step-by-step explanation:
Multiply the original price by 0.7
23.99 * 0.7 = 16.79
A cat can run 30 miles per hour. At this rate, how many minutes would it take a cat to run 1.5 miles?
Answer:
3 minutes
Step-by-step explanation:
30/60 which is how many minutes are in an hour, gives you .5 miles per minute and .5 x 3 = 1.5miles
its due today and please give a step by step answer
Answer:
x=3.333 or 10/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-(2*(-6*x+18)+14)=0
Pull out like factors :
-6x + 18 = -6 • (x - 3)
to make 3x - (-12 • (x - 3) + 14) = 0
Pull out like factors :
15x - 50 = 5 • (3x - 10) to get
5 • (3x - 10) = 0
Solve : 3x-10 = 0
Add 10 to both sides of the equation :
3x = 10
Divide both sides of the equation by 3:
x = 10/3 = 3.333
Answer:
f
Step-by-step explanation:
substitue the y
3x=2(-6x+18)+14
distrubute
3x=-12x+36+14
combine like terms
3x=-12x+50
add -12x on both sides
15x=50
divide 15 on both sides
x=50/15
simplify
x=10/3
The top of Mount Romero is 123.5 feet above sea level. The bottom of Mount Romero is 32.7 feet below sea level. What is the distance between the top and bottom of the mountain?
Answer:
156.2
Step-by-step explanation:
mark brainliest
How many 38s does it take to make 32.
Answer:
.842
Step-by-step explanation:
Divide 32 by 38 to figure out how many of them are needed. Answer is .842 rounded.
if the system of equations has no soloution what does the graph look like ?
(8+14)+0=8+14
wich property ?
Answer:
Property of Addition
Step-by-step explanation:
If f(x) =x/2 +8, what is f(x) when x = 10?
O 4
O9
O 13
O 36
PLS HELP DUE AT 11:59 AND I MISSED THE LESSON ON THIS
Answer:
try -14!
Step-by-step explanation:
4x+188=6x+216
x=-14
Answer:
x = -14
Step-by-step explanation:
To start since the angles are congruent then they must be equal to each other, so we start by setting them equal to each other. The equation will be 4x + 188 = 6x + 216
Next we solve for x, subtracting 188 and 6x from each side. The new equation will be
-2x = 28
Then divide both sides by negative 2 to get x = -14.
3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price of one pretzel?
we can find the tax rate on the $78 item that cost $82.68 after tax by using the equation
Answer:
There is no question, can you type it?
Step-by-step explanation:
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles
Which of the following may be used as reasons in a two-column proof? Select all that apply.
Answer:
The word among the options that may be used for a two column proof includes;
1) Definitions
2) Theorems
3) Postulates
4) Properties
5) "Given"
Step-by-step explanation:
The word among the options that may be used for a two column proof includes;
1) Definitions; Includes the definitions of a geometry, that outlines the relevant properties
2) Theorems; Valid reasoning or conclusion that may not be directly evident in the presentation of the given relationships, but which serve to provide validation to more clearer relationships between the variables
3) Postulates; Previous suggestion or reasoning taken to be the true relationships
4) Properties; Characteristics of a given figure or expression
5) "Given"; Conditions initial stated as those of the properties of the figure or expression
32:51
On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.
Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not?
Yes, because AB and CD are each Two-fifths the lengths MN and QP.
Yes, because sides AB and CD are parallel to sides MN and QP.
No, because AB is Two-fifths the length MN but CD is One-third the length QP.
No, because sides AB and CD have different slopes from sides MN and QP.
9514 1404 393
Answer:
C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.
Step-by-step explanation:
Dilation multiplies each coordinate or length by the scale factor. Here, different corresponding lengths are multiplied by different values, so no dilation is involved.
__
Additional comment
Dilation shouldn't change any slopes, so if slopes of corresponding segments are different, that is another indication dilation is not involved. (No figure is supplied here, so we cannot judge slopes.)
Answer:
c
Step-by-step explanation:
*BRAINIEST & 25 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
*irrelevant answers will be reported*
Answer:
The coordinates are (-5,5)
Step-by-step explanation:
Here, we want to find the coordinates that divides the given line segment using the given ratio
Mathematically, the equation to use is the internal division formula
That will be;
(x,y) = (nx1 + mx2)/m + n , (ny1 + my2)/m + n
where m = 1
n = 4
(x1,y1) = ((-8,8)
(x2,y2) = (7,-7)
Substituting these values, we have
(x,y) = (4(-8) + 1(7))/(1+4) , (4(8) + 1(-7)/(1 + 4)
(x,y) = (-32 + 7)/5, (32 -7)/5
(x,y) = (-25/5), (25/5)
(x,y) = (-5,5)
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answer:
Answer:
Step-by-step explanation:
Given expression,
30% of 60,
We know that,
Convert percentage to fraction :
Thus,
So, 30% of 60 =
Which is the required expression.
Step-by-step explanation:
Answer:
30÷100 ×60
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