Answer:
0.0326 = 3.26% probability that she is a student.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
Five less than 3 times a number b is greater than the opposite of 8.

Answer:
6 9 4 .....digsigsigishs
Three of the thirty computers are out of service. What percent of the computers are working
Answer: 90%
Step-by-step explanation:
3/30= not working
This means that 27/30 computers are working.
To find the percentage divide each number by a number that both numbers are divisible by.
In this case both numbers can be divided by 3, and your number will now be 9/10. You can then multiply this number by 10, so your number is now 90/100 which equals 90%
I need help please?!!!!
Answer:
A
Step-by-step explanation:
the relationship between x and y is constant; 5/3
Answer:
the answer is A because x and y are constants
URGENT!!!!
There are two missing numbers. Twice the first plus the second is equal to 15. Also, three
times the first minus the second equals 20. What are the two numbers?
Answer:
Write a system of equations
Step-by-step explanation:
2x + y = 15
3x - y = 20
5x = 35
x = 7
2(7) + y =15
y = 1
The two missing numbers are x = 7 and y = 1.Let's denote the first missing number as "x" and the second missing number as "y".
From the given information, we can form the following equations:
Equation 1: 2x + y = 15
Equation 2: 3x - y = 20
We can solve this system of equations by elimination or substitution method.
Let's use the elimination method:
Multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the "y" term:
Equation 1: 6x + 3y = 45
Equation 2: 6x - 2y = 40
Subtract Equation 2 from Equation 1:
(6x + 3y) - (6x - 2y) = 45 - 40
Combine like terms:
6x + 3y - 6x + 2y = 5
Simplify:
5y = 5
Divide both sides by 5:
y = 1
Substitute the value of "y" into Equation 1:
2x + 1 = 15
Subtract 1 from both sides:
2x = 14
Divide both sides by 2:
x = 7
Therefore, the two missing numbers are x = 7 and y = 1.
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John bought a video game that was 20% off. THe game was originally $50. How much money DID HE SAVE by getting it on sale?
The school spent $504 on calculators. How
many did the school buy?
Answer:
where is the rest of the question, how much was each calculator?
In right angle ABC, a = 12, b = 9, and c = 15. Find tan ∠B
The graph of function gis the graph of function f (x) = 2x2 + 5 after a
vertical stretch by a factor of 3. What is the function rule for function g?
Answer: g(x) = 6*x^2 + 15
Step-by-step explanation:
Suppose that we have a function y = f(x)
A vertical stretch by a factor of K is written as:
g(x) = K*f(x).
In this case, we have f(x) = 2*x^2 + 5.
And we know that g(x) is a f(x) after a stretch by a factor of 3.
Then we get:
g(x) = 3*f(x) = 3*(2*x^2 + 5) = 3*2*x^2 + 3*5 = 6*x^2 + 15
g(x) = 6*x^2 + 15
I am a fraction with a denominator of 7 and a whole numerator. I am greater than 2/5 and less than 1/2. What fraction am I?
Answer:
3/7
Hope that helps!
Step-by-step explanation:
9514 1404 393
Answer:
3/7
Step-by-step explanation:
As a fraction with a denominator of 7, the value 2/5 would have a numerator of ...
(2/5)(7) = 2.8
Similarly, the fraction 1/2 would have a numerator of ...
(1/2)(7) = 3.5
The only whole number between 2.8 and 3.5 is 3.
The fraction of interest is 3/7.
I NEED HELP ON THIS ASAP!! GIVING 75 POINTS TO WHOEVER CAN HELP ME WITH THIS!!!
Answer:
288pi
904.3
1648.5
33493.3
Step-by-step explanation:
1.
volume = 6^2 * 8 * pi = 288pi
= 904.32
2.
5^2*21*3.14 = 1648.5
3.
4/3 * 20^3 * 3.14 = 33493.3
solve the following system of equations using the substitution method
x=2y
2x+5y=9
Answer:
y=1
x=2
(2,1)
Step-by-step explanation:
x=2y
2x+5y=9
2(2y)+5y=9
4y+5y=9
9y=9
y=1
x=2(1)
x=2
(2,1)
help plz plzplz plz dssfdasfadsfadsfadfadfdsfadsf ;(
Answer:I believe its b
Step-by-step explanation:
1) A snake has a density of 12 g per cm and a
mass of 3000 g. What is its volume in cm'?
Answer:
250
volume=density/mass
Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the angle measure of the cake that was left?
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
If a triangle has sides of 9 and 14, then the remaining side must be between and , with the smaller number listed first.
Answer:
I think the answer could be 11.5
Step-by-step explanation:
It's in the middle of both numbers
a=9
b=11.5
c=14
What is the sum of
1
2
+
1
4
? Use the fraction strip to help.
One whole fraction strip is equal in length to one one-half fraction strip combined with two one-fourth fraction strips. One-whole fraction strip is also equal to eight one-eighth fraction strips.
Answer:
Step-by-step explanation:
3/4
Answer:
3/8
Step-by-step explanation:
first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8
Which is the correct form of the partial fraction decomposition for StartFraction x + 9 Over x squared minus 4 EndFraction?
Answer:
for the first question B
For the second question B C and D
Step-by-step explanation:
Fart
A taxi company charges £5 standing charge and £1.50 per mile for a journey
Aman travels in a taxi for 12.2 miles.
What is the cost of his journey?
Answer:
I believe its £18.30. If not sorry.
Step-by-step explanation:
Simplify.
(5v2-3v – 4)+(7v?-v+6)
Answer:
35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8
Divide.
68, 302 divided by 1,000
Enter the exact quotient.
Answer:
68.30200
Step-by-step explanation:
The exact quotient of 68,302 ÷ 1000 is 68.302.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
68,302 ÷ 1000
= 68,302 / 1000
= 68.302
Thus,
The quotient is 68.302.
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Three times the sum of a number and 18 and is at least -30
Answer:
im sry i need hte points
Step-by-step explanation:
Convert Decimal to Percent
0.89 =
0.54 =
0.76 =
0.33 =
0.53 =
0.12 =
Answer:
0.89 = 89
0.54 = 54
0.76 = 76
0.33 = 33
0 . 53 = 53
.0.12 = 12
A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?
Answer:
A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.
Step-by-step explanation:
There are 18 servings of cereal in the box.
To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.
Given:
Serving size: 2/3 cup
Total cups in the box: 12 cups
To find the number of servings, we divide the total cups by the serving size:
12 cups ÷ (2/3 cup)
= 12 cups × (3/2)
= 36/2
= 18 servings
Therefore, there are 18 servings of cereal in the box.
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Yolanda made $192 for 12 hours of work. At the same rate, how many hours would she have to work to make $272?
Answer:
17 hours
take $192 and divide it by 12 so you know how much they make per hour
$192 / 12 = 16
then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)
$272 / 16 = 17
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Answer:
Rate of change = $25 per day
Step-by-step explanation:
Since, rate of change of the data given in the table is constant graph will be a linear graph.
Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table given,
Graph passes through two points (3, 75) and (4, 100)
Rate of change = [tex]\frac{100-75}{4-3}[/tex]
= 25
Here rate of change defines the change in cost per day.
Which expression below is equivalent to the expression -3/4(-12x-20Y)
A. 9x+15y
B. 9x-15y
C. 9x-20y
D. 9x-20y
Factor 3x^2 - 2x - 1
Answer:
(3x+1) (x-1)
Step-by-step explanation:
.................
The factored form of 3x² - 2x - 1 is (3x + 1)(x - 1).
To factor the quadratic expression 3x² - 2x - 1, we can look for two binomials that multiply together to give the original expression.
We need to find two binomials in the form (ax + b)(cx + d) that, when multiplied, result in 3x² - 2x - 1.
To factor this expression, we need to find two numbers that multiply to give 3 (the coefficient of x² term) and add up to -2 (the coefficient of the x term).
By trial and error or using factoring techniques, we find that the factors are (3x + 1) and (x - 1).
Therefore, the factored form of 3x² - 2x - 1 is:
(3x + 1)(x - 1).
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Name where u from
age
favorite food
Answer:
im am Santiago i am from Brazil, i live in a favela, i play soccer in the jungle and the beach with the monkeys, i speak brazilian.
Step-by-step explanation:
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELP I MEAN SOS ITS MAJOR! btw there r two questions
If x ≠ 2y, then
eq1aIf Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
360
180
120
60
90
2(x-2y)
2y-x
1
0
-2
