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.
Can someone help me with two geometry questions? They are in a PDF document that I attached.
Answer:
use
x+y=z
and see magic answer is there
Find 2/3 of 24
Help ASAP plz!! Got to get finished tonight
Answer:
16
Step-by-step explanation:
[tex](\frac{2}{3} )*24=16[/tex]
Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
If f(x) = -(5)x , what is f(2)?
Answer:
-10
Step-by-step explanation:
f(2) = 2 x -5
= -10
The answer is -10
What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
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calcular el tamaño de muestra para una poblacion de 543.098 consumidores de una marca de bebida gaseosa donde el investigador asigna un nivel de confianza de 95% y una margen de error de 3% con una probabilidad de existo de 70% y de fracaso 30%
Answer:
m m m m m m
Step-by-step explanation:
mmmmmmmmm m m m m m m mm m m m m m m
The following stem-and-leaf plot represents the distribution of weights for a group of people.
Stem
Leaves
11
2
4 5 5
6
12
1
3 3
4 5
13
4
6
6
7
14
24
4
7 7
15
0
4
6
6 7
99
16
6
6
7
8
17
2 4
6
6
9
18
5 7
19
0 1
5 9
Step 2 of 3: How many people weigh in the range from 140 to 180 inclusive?
Answer:
the stem and leaf plot is invalid. please provide a diagram.
Eli saves money each month to buy a new computer.
The total amount he has saved, T, can be calculated
by the equation T = 83 + 30m, where m is the
number of months since he started saving. What
does the number 83 represent in the equation?
Answer:
The money he already had when he started saving.
Step-by-step explanation:
Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.
What does the constant (c) in the equation → y = mx + c indicates?The constant (c) in the equation - y = mx + c, indicates the value of (y) at
x = 0. This means that it indicates the value of (y) even before the value of (x) started to increase.
Given is the equation → T = 83 + 30m representing the money saved by Eli each month to buy a new computer.
The equation given is -
T = 83 + 30m
When compared to the equation of the straight line -
y = mx + c
We get -
c = 80
This shows that Eli begin with $83 during month [m] = 0 and saved the money onwards starting from first month.
Therefore, Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.
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Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?
Answer:
I do not agree with Sylvia
Step-by-step explanation:
Given
1 small box
64 triangle pattern blocks
Required
Is she right?
From the question, we understand that she fills the box with 64 blocks.
For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)
The reason for this is that, the volume of each box may not be 1 cubic unit.
So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.
Since, it is not stated, we will not make any assumptions.
Hence, I do not agree with Sylvia.
Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5
Answer:
C. 2x + 1
Step-by-step explanation:
Factorize 6x² - 7x - 5
6x² + 3x - 10x - 5
3x(2x + 1) - 5(2x + 1)
(3x - 5)(2x + 1)
Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.
11 There are 136 people on a train.
34 of the people are children.
What percentage of the people on the train are adults?
Answer:
75%
Step-by-step explanation:
There are 136 people on a train
34 are children
Therefore the percentage of people that are adults can be calculated as follows
= 136-34
= 102
= 102/136 × 100
= 0.75 × 100
= 75%
Hence 75% are adults
A city has a 5% sales tax.
Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes or No
Answer:
Yes,
There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship between the cost of items
before tax and the cost of items after tax?
Proof -
Yes, cost of items before tax is directly proportional to cost of items after tax.
Reason -
With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.
A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.
The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
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For which points is the y-coordinate greater than -3
Answer:
d,c,a
Step-by-step explanation:
guess it helps
rite an equation in standard form of the circle with the given properties.
Center at the origin; r = square root 6
Answer:
x² + y² = 6
Circle Center at the origin; r = square root 6
(x - 0)² + (y - 0)² = (✓6)²
x² + y² = 6
which expression is equivalent to (5m) ^3
Answer:
5m•5m•5m
Step-by-step explanation:
so you multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3
5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5m)³
We have to find the equivalent expression of (5m)³
Equivalent expressions are expressions that work the same even though they look different
(5m)³ can be written as 5m.5m.5m
The value of five cube is one hundred twenty five.
125m³
Hence, 5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
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find the inequality represented by the graph
Answer:
y is greater than or equal to -2x-5
Step-by-step explanation:
First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!
Hope this helped!
A tree casts a shadow 72 feet long. At the same time, a man who is 6 feet tall casts a shadow 8 feet long. What is the height of the tree? *
QUICK PLS
Answer: 54 feet.
Step-by-step explanation:
Ratio between a tree's height and its shadow's length = x : 72ft
Ratio between man's height and his shadow's length = 6ft : 8ft = 3 : 4
In order to solve this problem, we have to cross multiply the two ratios (image)
So, 4x = 216.
By solving this equation we learn that x = 54ft
So, the tree is 54 feet tall.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
For the base b of a logarithmic function, b>0 and b≠1
True
False
4x^2-4x=3
Plz will mark brainliest!
Answer:
=−1/2
=3/2
Step-by-step explanation:
Answer:
x = -1/2
x = 3/2
Step-by-step explanation:
4x² - 4x = 3
Subtract 3.
4x² - 4x - 3 = 0
Factor by grouping.
(2x + 1)(2x - 3) = 0
2x + 1 = 0
2x - 3 = 0
x = -1/2
x = 3/2
good luck, i hope this helps :)
The volume of the prism is 72 cubic feet. Find the missing height of the triangular prism, and the surface area.
Answer:
h = 12
surface area = 192
Step-by-step explanation:
Volume of this prism = 72
The base triangle has an area of B * h/2
The base = 6
The height in red = 2
Area = 1/2 * 6 * 2
Area = 6 ft^2
The volume = B * h = 72
The base = 6
6* h = 72
h = 72/6
h = 12
The surface area = 2 triangles + the rectangle face closest to us + the rectangular face whose width is 4 + rectangular face whose with is 5
The surface area = 2 * 6 + 6* 12 + 4*12 + 5 * 12
The surface area = 12 + 72 + 48 + 60
The surface area = 192 square feet.
एक कार की गति 92.4 किमी प्रति घंटा है यह 20 मिनट मे कितना दुरी तय करेगी
Answer:
mate I will surely help if nut pls translate it in English as I can barely read hindi
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
q=6 and r=7 look at pic for work
Answer:
It's q = 6 and r = 7
Step-by-step explanation:
Hope this helps and have a great day (^w^)
Also Hi B
Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $40.00 before tax?
Answer:
She would pay $2.80 in sales tax.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?
$2.52 - $36.00
x - $40.00
Applying cross multiplication
[tex]36x = 40*2.52[/tex]
[tex]x = \frac{40*2.52}{36}[/tex]
[tex]x = 2.8[/tex]
She would pay $2.80 in sales tax.
What is -6k + 7k simplified?
Answer:
1k
Step-by-step explanation:
-6k+7k=1k
or
7k-6k=1k
Answer:
The answer would be found by adding -6 and 7 k so itd be 1k or just k
[tex]0.004 \times 0 .81[/tex]
work out 14hrs 3min devide by 3
Answer:
4.6833333 Hours
Step-by-step explanation:
14 hrs=840 min
843/3
281minutes
281 min= 4.6833333 Hours
please mark brainliest
What are the multiplication sentences for factors of 6?
Answer:
keep doubling the answer by 6
the intersection of parallel lines b and c and transversal line d form several special angle relationships. which pairs of angles and vertical angles?
Answer:
I think angel 2 and angle 3
and angel 5 and angle 8
are the pairs of vertical angle.
hope it helps.