Answer:
[tex]\bold{\dfrac{1}{12}}[/tex]
Step-by-step explanation:
The dice is rolled 3 times.
To find:
The probability that a 4 will come up exactly twice = ?
Solution:
Let 4 comes up exactly twice, let the third number be [tex]x[/tex].
The possible outcomes can be:
([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18
Total number of outcomes that can be possible at roll of 3 dice:
6 [tex]\times[/tex] 6 [tex]\times[/tex] 6 = 216
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]
please answer thank you!
Answer:
X= -2
Step-by-step explanation:
Given: 16 = -4(x - 1) + 4
Solution:
Subtract 4 from both sides
12 = -4(x -1)
Divide -4 on both sides
-3 = x - 1
Add -1 on both sides
x = -2
If you earned 892.50 after depositing 1400 at 4.25% simple interest, how long was it invested ? Using the simple interest formula, solve for t. Formula I=Prt
Answer:
Time t = 15 years
Step-by-step explanation:
Interest = 892.50
Principal = 1400
Rate = 4.25%
Time = unknown
But
interest I = Principal p * rate r * time t
Time t = interest I/(principal P * rate r)
Time t=( 892.50*100)/(1400*4.25)
Time t=89250/5950
Time t = 15 years
Which theorem can be used to show that △JKL ~ △MNP?
In this case the answer would be the last option
because it is shrunk by 2/3 on just the x side
D is the only one who has that first transformation
By a theorem of similarity, it can be shown that △JKL ~ △MNP.
What is the similarity?Similar figures are those figures which are identical in shape, but not necessarily in size.
Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.
Another example is all circles are similar circles.
The ratio of corresponding sides of similar objects is always the same.
Any two triangles will be similar if the ratio of their corresponding side is same.
If △JKL ~ △MNP then their corresponding side ratio will definitely same.
If corresponding side is same order in JKL and MNP then,
JK/KL = MN/NP
Hence "By a theorem of similarity, it can be shown that △JKL ~ △MNP".
To learn more about similarity,
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Two companies report a 15% gain in online sales over the last year. Suppose company Q had 25 online sales and company Z had 150 online sales last year. Do you believe their growth was the same? Justify your answer.
Answer:
Yes, it is possible.
Step-by-step explanation:
It is possible to have same profit rate.
The number of sales may demonstrate that the company Q with 25 online sales is smaller than the company Z with 150 online sales.
Or the company Q may have higher profit rate on individual sales than company Z.
The table shown classifies the 35 students in a
college statistics course by year (1st, 2nd, 3rd, 4th)
and type of major (Humanities, Sciences, Other). A
student from this course will be selected at random.
What is the probability that the student's major is
Humanities?
The correct answer is 0.45 or 45%
Explanation:
In this case, the probability of selecting a student whose major is Humanities can be calculated by finding the number of Humanities students, which is considered as the desired outcome, and dividing this by the total of outcomes or students. The process to find the probability is shown below:
[tex]P = \frac{Desired outcomes}{Total outcomes}[/tex]
[tex]P= \frac{Students from Humanities}{Total students}[/tex]
[tex]Students of Humanities = 5 + 5 + 3 + 3 = 16 students[/tex] (Add the students of each year that are part of Humanities)
[tex]Total of students = 35[/tex] (This number is provided in the question but can also be found by adding all numbers in the table)
[tex]P = \frac{16}{35}[/tex]
[tex]P = 0.45[/tex]
Multiply the probability by 100 to know its equivalent in percentages 0.45 x 100 = 45. This means the probability that a student of humanities is selected is 0.45 or 45%.
What is the surface area of a cube with side length 3/2 units?
Answer:
Surface area = 13.5 unit square.
Step-by-step explanation:
We have given the side length of cube = 3/2 units
Now we have to find the surface area of the cube by using the given information. Therefore we must use the below formula to find the surface area. the formula is as follows:
Surface area = 6 (side)^2
Now plug the given information in the formula.
Surface area = 6 (3/2)^2
Surface area = 13.5 unit square.
Find the mean of 35,42,41,32,30
Answer:
The mean is 36
Step-by-step explanation:
The mean of these numbers is 36.
Check each equation whose graph is the line that
contains the points (4, -7) and (1,5).
y=-4x + 9
y=-4x – 23
y-1 =-4(X-5)
y + 7 = -4(x – 4)
4x + y = 9
DONE
Answer:
Points P ( 4 , - 7 ) and Q ( 1 , 5 ) belong to the equations:
1 ; 4 ; and 5
Step-by-step explanation:
Equations 1 ; 4 and 5 are the same equation
Equation 1 y = - 4*x + 9
Equation 4
y + 7 = - 4 * ( x - 4 ) ⇒ y + 7 = - 4*x + 16 ⇒ y = - 4*x - 7 + 16
y = -4*x + 9
Equation 5
4*x + y = 9 ⇒ y = - 4*x + 9
Now for the equation y = - 4*x + 9
P ( 4 , -7)
For x = 4 y = - 4*(4) + 9 ⇒ y = - 16 + 9 ⇒ y = - 7
Then point P is in the line y = - 4*x + 9
Point Q (1 , 5 )
For x = 1 y = - 4 * ( 1) + 9 ⇒ y = - 4 + 9 ⇒ y = 5
Point Q is in the line y = - 4*x + 9
Equation 2
y = - 4*x - 23
Point P ( 4 , - 7 )
For x = 4 y = 16 - 23 y = - 7
Point P is in the line
Point Q
For x = 1 y = - 4 *(1) - 23 ⇒ y = - 27
Then poin Q is not in the line
Equation 3
y - 1 = - 4 * ( x - 4 )
y - 1 = -4*x + 16 ⇒ y = - 4*x + 17
Point P ( 4 , - 7 )
For x = 4
y = - 16 + 17 ⇒ y = 1
Point P is not in the line
And Point Q ( 1 , 5 )
For x = 1
y = - 4* ( 1 ) + 17 ⇒ y = 13 Q is not in the line
Answer:
1 4 5
Step-by-step explanation:
jus took the test
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle E?
Help me solve thiss
Answer:
Angle E = 70°
Step-by-step explanation:
Given parallelogram RELA, where m<R = 110°, to find m<E, recall the properties of a parallelogram.
Angle R and angle E are consecutive angles in parallelogram RELA.
One of the properties of a parallelogram states that any 2 consecutive angles in a parallelogram are supplementary. That is, they add up to 180°.
Therefore:
m<R + m<E = 180°
110° + m<E = 180°
Subtract 110° from both sides
m<E = 180° - 110° = 70°
The sum of a number and six is eleven. Find the number.
Answer:
17
Step-by-step explanation:
6 + 11 = 17
Sum (addition of 2 numbers)
Since the sum of a number and six is eleven, the number is equal to 5.
Let the unknown number be n.To find the unknown number:
In this exercise, you're required to determine an unknown number by translating the word sentence into an algebraic equation.
Translating the word sentence into an algebraic expression, we have;
The sum of a number and six is eleven:
[tex]n + 6 =11[/tex]
Next, we would rearrange the equation by collecting like terms:
[tex]n = 11-6[/tex]
n = 5
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I've been stuck on this for about 2 hours but it still doesn't make any sense to me, please helpppppppppp
I don't have time to calculate I have to go somewhere. HELP ASAP! What is x+300=500
Answer:
x=200
Step-by-step explanation:
x+300=500move the constant to the rightx=500-300x=200Answer:
[tex]x=200[/tex]
Step-by-step explanation:
[tex]x+300=500[/tex]
There is an easy way to solve this.
Let's do
[tex]500-300[/tex]
Since [tex]500-300[/tex] is equal to 200, then x would be 200.
[tex]x=200[/tex]
Hope this helps!
Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 40 are covered with chocolate chips and the rest are covered with sprinkles. How many cupcakes are covered with sprinkles?
Answer:
24 covered with peanuts
40 covered with choc chips
56 covered with sprinkles
7 out of 10 doctors If there are 4200 doctors that prefer Cough-Up brand syrup, how many total doctors are there? * A)6000 B)2940 C)14000 D)1260
The line plot shows the part of an hour that Tamika practiced the piano each day last week. How many hours did Tamika practice the piano last week?
A.4 1/2 B.1 1/2 C. 4 D. 3 3/4
Answer:
it is c
Step-by-step explanation:
got it correct on the quiz
Fill in the next number in the list.
5. 6. 11. 17. 28. 45
5. 6. 11. 17. 28. 45 . 73
Here,5 &6 are given,
Then,
5+6=11
6+11=17
11+17=28
17+28=45
So,
28+45=73
Answer:
73
Step-by-step explanation:
We are adding the two numbers before
5+6 = 11
6+11 = 17
11+17 = 28
17+28 = 45
28+45 =73
A piece of carpet is 360 cm long. Mr. Smith cuts it into three pieces in the ratio 2:3:4. Workout the length of the longest piece of carpet.
Answer:
The longest length of carpet is 160 cm.
Step-by-step explanation:
Given that the total ratio(units) of the carpet is 9(2+3+4). So first, you have to find the length of carpet in 1 unit :
[tex]9 \: units = 360 \: cm[/tex]
[tex]1 \: unit = 360cm \div 9[/tex]
[tex]1 \: unit = 40 \: cm[/tex]
Next, you have to find the length of carpet in 4 ratio as the question wants the longest length :
[tex]4 \: units = 40 \: cm \times 4[/tex]
[tex]4 \: units = 160 \: cm[/tex]
Answer:
160cm
Step-by-step explanation:
2+3+4= 9
4/9 x 360= 160cm
Find the common ratio of each geometric sequence.
a) 2, 4, 8, ... r = 2
b) -2, 6, -18, L =
c) -3, -12, -48, ... r =
1 1 1
d)
3 927
9
..
e) 0.3, 0.6, 1.2, ... r =
f)
1.
re
.
42
Answer:
d
Step-by-step explanation:
3n-n+7=25
Please help me quickly!
Answer:
n = 9
Step-by-step explanation:
3n-n+7=25
2n +7 = 25
2n = 18
n = 9
I hope this helps!
-TheBusinessMan
Step-by-step explanation:
3n-n=25-7
2n=18
n=18/2
n=9
What is the polynomial function of least degree whose only zeros are -4,2, and 3?
Answer:
never heard about it
Step-by-step explanation:
Ava is in charge of bringing bottled water to a party that has 42 guests.
Bottled water is sold in packs of 18 and each pack costs $16.92.
Part A: enter the total number of packs of water Ava will need to bring to the party if each guest is to have 1 bottle of water.
Part B: enter the total cost, in dollars, Ava will spend on bottled water for the party.
Answer:
a - about 3 packs cause you have to round up
b - $50.76
Step-by-step explanation:
First you divide 42 and 18.
42/18=2.33
You have to round up cause you can't have half of a pack, you can't just buy half of a pack.
So, it is rounded to 3 packs.
Next you have to multiply the number of packs and the cost of each pack of water bottles.
16.92*3=$50.76
a - you have to buy 3 packs
b - the total cost is $50.76
The distance between the point (2,1,1) and the plane x-2y=5 is
The given plane has normal vector
[tex]x-2y=5\implies\mathbf n=\langle1,-2,0\rangle[/tex]
Scaling n by a real number t gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation
[tex]\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle[/tex]
This line passes through (2, 1, 1) when t = 0, and the line intersects with the plane when
[tex]x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1[/tex]
which corresponds the point (3, -1, 1) (simply plug t = 1 into the coordinates of [tex]\mathbf r(t)[/tex]).
So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):
[tex]\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}[/tex]
Give an expression that generates all angles coterminal with each angle. Let n represent any interger?
1. 60°
2. 120°
Answer:
The expression to this question can be defined as follows:
Step-by-step explanation:
Given angle:
1. 60°
2. 120°
Formula:
[tex]\to \bold{\ angle + 360 \ n}[/tex]
The Expression for point 1:
[tex]\to 60^{\circ} + 360 \ n\\[/tex]
The Expression for point 2:
[tex]\to 120^{\circ} + 360 \ n\\[/tex]
Right to explain how this digit 6 changes value in number 666, 666, 666
Answer:
devil!!!!!!!!!!!!!!!!
Step-by-step explanation:
25 tens=
______hundreds 5 tens
Answer:
2 hundreds.
Step-by-step explanation:
25 tens is equal to 250.
25 x 10 = 250
5 tens = 50, 5 x 10
250 - 50 = 200
200 = 2, hundreds.
Answer:
2 hundreds
Step-by-step explanation:
Find the distance between -6 and 10
Answer:
16
Step-by-step explanation:
Answer:
16 units
Step-by-step explanation:
Consider the absolute value of the difference of the points
| - 6 - 10 | = | - 16 | = 16 , or
| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16
Solve: x/3+1/4 =1/3 . Explain your work.
Steps to solve:
x/3 + 1/4 = 1/3
~Subtract 1/4 to both sides
x/3 = 1/12
~Multiply 3 to both sides
x = 1/4
Best of Luck!
Need help ASAP!!!!!!!!!!!!
Answer:
[tex]-\frac{7}{2} x+12[/tex]
Step-by-step explanation:
if you need step by step explanation i will upload.
Find the midpoint (1,2)(8,-9)
Answer:
(4,5)
Step-by-step explanation:
16.9 is what percent of 22.9? Round to the nearest percent.
Answer:
74%
Step-by-step explanation:
16.9/22.9。。。。。。。
Answer:
74%
Step-by-step explanation:
22.9=100%
16.9= ?
16.9×100÷22.9=73.8
Round to the nearest % =73.8=74
Answer =74%