Answer:
0.9
Step-by-step explanation:
Since A and B are independent hence;
P(A∩B) = P(A)P(B)
Given the following
P(A∩B) = 0.27
P(A) = 0.3
Required
P(B)
Substitute into the formula;
P(B) = P(A∩B)/P(A)
P(B) = 0.27/0.3
P(B) = 0.9
Hence the value of P(B) is 0.9
The value of P(B) is 0.9
What is probability?Probabilities are used to determine the chances of events
The given parameters are:
P(A) = 0.3
P(A ∩ B) =0.27
To find the value of P(B), we make use of the following formula
P(A ∩ B) = P(A) * P(B)
So, we have:
0.27 = 0.3 * P(B)
Divide both sides by 0.3
P(B) = 0.9
Hence, the value of P(B) is 0.9
Read more about probability at:
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another math question
Answer:
5
Step-by-step explanation: 1/2 probability, 10 / 2 equals 5
Answer:
The best prediction possible for the number of times it will land on tails is 5 times.
Step-by-step explanation:
Because there are two sides to a coin, that means there will be a 50% chance of landing on a side. Since you are flipping 10 coins, the best prediction to make is that 50% of the flips, or 5 flips, will result in tails.
1) In a school of 3600 students, number of boys is twice the number of girls. Find the number of girls.
Answer: 1200
Step-by-step explanation:
x is the number of boy
The number of boys is twice the number of girls: [tex]\frac{1}{2} x[/tex]
Total is 3600 students: x + [tex]\frac{1}{2}x[/tex]= 3600 → x = 2400
Therefore, the number of girls is: 2400/2= 1200
Answer: There are 2400 boys and 1200 girls
Step-by-step explanation:
x represents girls
2x represents boys
________________________
x+2x=3600
3x =3600
x=3600/3
x =1200
Number of girls = 1200
1200 * 2 = 2400
Angle a and b are supplementary angles, and a is x-3 and b is x+14 what are the measures of angle a and b
Answer:
a = 81.5
b = 98.5
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
a = x-3
b = x+14
In supplementary angles , the formula are as follows,
a + b = 180
By putting the value, we get
x - 3 + x + 14 = 180
2x + 11 = 180
2x = 180 - 11
2x = 169
x = 169 ÷ 2
x = 84.5
So, a = 84.5 - 3
= 81.5
b = 84.5 + 14
= 98.5
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
Michael is placing cubic blocks into a box that measures 8 inches by 12 inches. each block is 1 cubic inch. he has packed the first layer of the box with 96 blocks. the box is 10 inches high. how many blocks will Michael be able to pack into the box in all?
Answer:
960
Step-by-step explanation:
First of all we can find the volume of the whole box:
8×12×10=960
then find the area of the blocks:
1×1×1=1
Finally, we divide them to find how many fit in to the box:
960÷1=960
So 960 of the blocks will fit into the box.
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number of years.
a) 5 years b) 10 years c) 15 years
Answer:
[tex]a) A\simeq17204.28[/tex]
[tex]b) A\simeq29598.74[/tex]
[tex]c)A\simeq50922.51[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]
n = 4 (quarterly in a year)
a ) t = 5 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]
b) t = 10 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]
c) t = 15 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]
Answer:
Solution given;
principal [p]=$10000
rate[r]=11%
time[t]= 5 years
we have
compound amount quarterly =P(1+r/400)^4t
=$10000(1+11/400)^4×5=$17204.28431
Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost totaled $2,998. how much did it cost per mile to operate the truck?
Answer:
20.61952
Step-by-step explanation:
hope it helps
The solution is : cost of driving per mile is $0.42.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Given:
Luisa Díaz drove her vehicle about 7,200 miles last year.
Total fixed cost = $1,058.40
Total variable cost = $1965.60
Question asked:
How much did it cost per mile ?
Solution:
Total cost of driving 7200 miles = Total fixed cost + Total variable cost
= $1,058.40 + $1965.60
= $3024
By unitary method:
Cost of driving 7200 miles = $3024
Cost of driving 1 mile = $3024 7200
= $0.42
Thus, cost of driving per mile is $0.42
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complete question:
Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile
Where can I find I ready answers? specifically math.
Answer: you could problem look in help.k12
Step-by-step explanation:
Answer:
here on brainly it will answer you ask your question and it will answer it
I need the answer to the Problem RIGHT NOW
Write the equation of the line with a slope of -2 that passes through (-5, 6).
a. y = -5x + 6
b. y=-2x – 4
c. y = -2x + 7
d. y = 4x - 2
(all of my points)
Answer:
B
Step-by-step explanation:
use y=mx+c
follow the flow
. What is the difference between a right triangle and a obtuse triangle?
Answer:
In a right triangle two of these are merged into the same square, so there are only two distinct inscribed squares. However, an obtuse triangle has only one inscribed square, one of whose sides coincides with part of the longest side of the triangle.
Step-by-step explanation:
You roll a cube which has the numbers 11, 12, 11, 12, 20, and 20 on it. You then spin a spinner which has 3 sections. The letters on the spinner are G, H, and J. P(20 and H)
Answer:
1 / 9
Step-by-step explanation:
Given the number cube :
(11,12,11,12,20,20)
Spinner : (G, H, J)
Probability = required outcome / Total possible outcomes
P(20) = 2 / 6 = 1/3
P(H) = 1 / 3
P(20 and H) = P(20) * P(H) = 1/3 * 1/3 = 1 /9
600 students sat a Math exam. If 86% of students passed the exam, the percentage of people who FAILED is
Answer:
the percentage of student who failed r 14%
and their number is 84.
stay safe healthy and happy.What is 4^4 in algerbra mathematics?
Answer:
256
Step-by-step explanation:
4 to the exponent of 4 = 256
Hank spins the spinner shown in the diagram 30 times. His results are as follows:
Yellow: 4
Blue: 7
Red: 5
Green: 6
Orange: 3
Purple: 5
What is the theoretical probability of landing on yellow?
A)
1/3
B)
1/6
C)
1/8
D)
2/15
When 6 times a number, x, is added to 7, the result is equal to thirteen more than 7 times the same number, what is the value of x
Answer:
x = -7
Step-by-step explanation:
Seven times a number and seven is equal to six times a number.
Word problems can be tricky no matter what level of math or science you are in.
First look at the question for words that indicate mathematical symbols.
"times" indicates multiplication
"and" indicates addition
"a number" means we have a variable, x, to solve for
Now we can go from left to right and write it in a mathematical equation
7x + 7 = 6x
Then, solve for x
7x + 7 = 6x
7 = 6x - 7x
7 = -1x
7/-1 = x
x = -7
Finally, we check our work.
7x + 7 = 6x
7(-7) + 7 = 6(-7)
-49 + 7 = -42
-42 = -42 √
The answer is x = -7
Indicate below whether the equation in the box is true or false 4/10=1/2
Answer:
False
Step-by-step explanation:
4/10's numerator (top number) and denominator (bottom number) can both be divided by 2. Therefore, when we do that, it will be equal to 2/5. 2/5 is not equal to 1/2. Therefore, the answer is false.
If this helps please mark as brainliest
Mr. Jensen owed $34.75 on his Internet service. He accidentally paid $37.45. When his next statement came, it showed a balance of –$2.70. Which statement about this bill is true?
Mr. Jensen needs to pay $2.70 more on his next bill
Mr. Jensen needs to pay $2.70 less on his next bill.
Mr. Jensen needs to pay $5.40 more on his next bill.
Mr. Jensen needs to pay $5.40 less on his next bill.
Answer:
B
Step-by-step explanation:
if he pays 2.70 more than he is supposed to and gets a bill that says -2.70 they took that money off his next bill
Answer:
the answer is b :To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
Step-by-step explanation:
IM SO SORRY IF ITS WRONG
math math math math math pls help
Answer:
100-16π ft2
Step-by-step explanation
Answer:
100-16π ft2
Step-by-step explanation:
Please help me with this. Use implicit rule
Answer:
a.option is the correct answer
Which is an
equation of the line that has a slope of -2/3
and passes though (-1, 3)?
Answer:
y = -2/3x + 7/3
Step-by-step explanation:
y = -2/3x + b
3 = -2/3(-1) + b
3 = 2/3 + b
7/3 = b
Find the length of side x in simplest radical form with a rational denominator
Answer: 4√2
Step-by-step explanation:
The triangle is a special right triangle. Using this, you know that the legs of the triangle are 1 and 1 as the 45, 45, 90 triangle has the sides of 1, 1 and √2. That being said,
4 x 1 = 4 - This is one of your sides
4 x 1 = 4 - This is your other side.
4 x √2 = 4√2 = This your your hypotenuse or your x.
My teacher played me this song to help me remember 45, 45, 90 and 30, 60, 90 triangles. Look up "45 45 90 30 60 90 song" and look for the channel, "Scalar Learning"
I hope this answered your problem.
7x7x7 x 7 7 can be simplified to:
A 57
B 75
C 7x5
D 75
E 77 777
Answer:
77777
is correct answers
Which of the following describes independent events A and B?
1) P(A)=0.70 P(B)=0.70 P(A and B)=0.40
2) P(A)=0.40
P(B)=0.70
P(A and B)=0.28
3) P(A)=0.40
P(B)=0.00
P(A and B)=0.40
4) P(A)=0.70 P(B)=0.40
P(A and B)=0.30
Algebra homework question pls answer.
Answer:
um I think it's f I'm not sure tho
Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.
Answer:
10
Step-by-step explanation:
Let c = sum of ages of all children.
mean age of all children = c/15 = 7
c = 15 * 7 = 105
The sum of the ages of all children is 105.
Let b = sum of ages of the 9 boys.
mean age of boys = b/9 = 5
b = 9 * 5 = 45
The sum of the ages of the boys is 45.
The sum of the ages of the girls is c - b.
c - b = 105 - 45 = 60
The number of girls is 15 - 9 = 6
mean age of girls = (sum of ages of the girls)/(number of girls) =
= 60/6 = 10
John wrote the equation tim.0 to represent there in decrees er a substance had been tested for minutes Describes be temperature of the substance and the been heated A The temperature initially de trees Cels B. The temperature increased by dores every 0. Based on John's equation, how many minutes does the substances to be heated to reach a temperature of 100 decrees Celtus?
Answer:
ur english is so bad i can barely discern what ur trying to say and the correct answer is 5
Step-by-step explanation:
Erik buys a new combination for his locker at the gym.The lock has 3 dial, each with the number 0 through 9. The probability that he sets the combination as 4-3-9 is
Answer: 0.001
Step-by-step explanation:
Given
The lock has 3 dials, each with the number 0 through 9.
The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is [tex]\frac{1}{10}[/tex]
Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]
Therefore the probability of getting a combination of 4-3-9 is
[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]
evelyn packed this box with 1-inch cubes. which expression does NOT show how evelyn can find the volume of the box
Answer:
[tex]Volume = 2 + 3+6[/tex]
Step-by-step explanation:
Given
[tex]Length = 2[/tex]
[tex]Width = 3[/tex]
[tex]Height = 6[/tex]
See attachment for box
Required
Which does not represent volume?
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = 2 * 3 * 6[/tex] ---- (b) represents volume
Multiply 2 and 3
[tex]Volume = 6 * 6[/tex] ---- (d) represents volume
The above product can be converted to addition, as:
[tex]Volume = 6 + 6 + 6 + 6 + 6 + 6[/tex] ---- (a) represents volume
Hence:
[tex]Volume = 2 + 3+6[/tex] --- does npot represent volume
What is 20% of 387?
77.4
hope this helps you
Answer:
77.4
Step-by-step explanation: