Answer:
0.2052 = 20.52% probability that their hair was done by Chris
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: Customer not satisfied
Event B: Hair done by Chris.
Probability of a customer not being satisfied.
5% of 22%(Chris)
3% of 30%(Karine)
7% of 48%(Amy)
This means that:
[tex]P(A) = 0.05*0.22 + 0.03*0.3 + 0.07*0.48 = 0.0536[/tex]
Probaility of a customer not being satisfied and hair done by Chris:
5% of 22%. So
[tex]P(A \cap B) = 0.05*0.22 = 0.011[/tex]
What is the probability that their hair was done by Chris?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.011}{0.0536} = 0.2052[/tex]
0.2052 = 20.52% probability that their hair was done by Chris
Which equation can be used to solve for in the following diagram?
(3x + 12)
→
Choose 1 answer:
3.3 = 180 + 2
(3.2 + 12) + x = 90
C
(3x + 12) + x = 180
D
(3x + 12) = 2
Answer:
the Answer is 3x+12)+X=180
X = 8 9 10
Plzzz helpppo
The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a2 + b2 = 2
If a is a rational number and b is a rational number, why could c be an irrational number?
Answer: I don't know stop cheating on your tests
Step-by-step explanation:
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.Hence the point lies within the circle .
Answer:
inside the circle
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with r = [tex]\sqrt{25[/tex] = 5
Calculate the distance d from the centre to the point (- 4, 2 ) using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 4, 2)
d= [tex]\sqrt{(-4-0)^2+(2-0)^2}[/tex]
= [tex]\sqrt{(-4)^2+2^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= [tex]\sqrt{20}[/tex]
≈ 4.5 ( to 1 dec. place )
Since 4.5 is less than the radius of 5
Then (- 4, 2 ) lies inside the circle
Four students are reading a book for a school assignment. The table shows how much of the book each student has read so far.
Which list shows the amount of reading completed in order from greatest to least?
3550, 13, 0.3, 0.35
, 3550, 13, 0.3, 0.35
0.3, 13, 0.35, 3550
0.3, 13, 0.35, 3550
3550, 0.35, 13, 0.3
3550, 0.35, 13, 0.3
13, 0.3, 3550, 0.35
13, 0.3, 3550, 0.35
Answer:
The first one
Step-by-step explanation:
when you are doing work with decimals the less numbers behind the decimal the bigger the decimal the more numbers the smaller the decimal based on that, 3550 is the biggest so that would go first. 13 is the next biggest and 0.3 is the same as 0.30 and there are less numbers after the decimal so that is the next biggest. 0.35 would go next because there are more numbers behind the decimal which makes it the smallest. I hope this helps :P
A number is five less than twice another number
Answer:
n= 2x-5
Step-by-step explanation:
The Expression for the statement is x= 2y -5.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
A number is five less than twice another number.
let the number be x and the another be y.
So, the mathematical Expression is
five less than twice another number.
= 2y -5
So, the expression is
x= 2y -5.
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ2
triangle ABC below has a right angle C and a height CD. (A height in a triangle connects it vertex and the opposite side, and is perpendicular to that side.) If AC is 3 untis long and BC is 4 units long, what is the length of CD?
9514 1404 393
Answer:
2.4
Step-by-step explanation:
We can see that this is a 3-4-5 right triangle, so side AB is 5 units long.
The area of the triangle is ...
A = 1/2bh = 1/2(3 units)(4 units) = 6 units
This is true also when side AB is the base and CD is the height.
A = 1/2(AB)(CD)
6 = 1/2(5 units)(CD) . . . . . substitute given information
6/2.5 = CD = 2.4 . . . . . . . divide by the coefficient of CD
The length of side CD is 2.4 units.
__
In the attached, the height to vertex C is given on the bottom line.
What is the area of the unshaded sector?
Answer:
56π units²
Step-by-step explanation:
area of entire circle = πr² = π8² = 64π
360° - 45° = 315°
(315/360)(64π) = 56π units²
Answer:56 square Units
Step-by-step explanation:
In marketing, response modeling is a method for identifying customers most likely to respond to an advertisement. Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. After making improvements to their model, a team of marketing analysts hoped that the proportion of customers identified as likely respondents who did not respond to a new campaign would decrease. The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
The marketing analysts want to use a one-sample z-test to see if the proportion of customers who did not respond to the advertising campaign, p, has decreased since they updated their model. They decide to use a significance level of α= 0.01.
Required:
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
Answer:
a) The value of the z-statistic is z = -2.55.
b) The p-value for this test is 0.0054.
Step-by-step explanation:
Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. Test if this proportion has decreased:
This means that at the null hypothesis we test that if the proportion is still 0.238, that is:
[tex]H_0: p =0.238[/tex]
And at the alternate hypothesis we test if the proportion has decreased, that is:
[tex]H_a: p < 0.238[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.238 is tested at the null hypothesis:
This means that [tex]\mu = 0.238, \sigma = \sqrt{0.238*0.762}[/tex]
The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
This means that [tex]n = 1500, X = \frac{315}{1500} = 0.21[/tex]
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.21 - 0.238}{\frac{\sqrt{0.238*0.762}}{\sqrt{1500}}}[/tex]
[tex]z = -2.55[/tex]
The value of the z-statistic is z = -2.55.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
The p-value of the test is the probability of finding a proportion below 0.21, which is the p-value of z = -2.55.
Looking at the z-table, z = -2.55 has a p-value of 0.0054
The p-value for this test is 0.0054.
The pre-image I will give you brainless
Answer:
The scale factor is 1/2.
Step-by-step explanation:
Before the scale is put into effect, each coordinate is double of after the scale is put into effect. Its ratio of 2:1, so it'd be 1/2.
I would appreciate it if someone could help answer this problem:)
Answer:
Sum of Interior Angles = 900°
One Interior Angle = 128.57°
Step-by-step explanation:
We know that the figure is a Heptagon (a 7 sided polygon), therefore;
→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;
=> (n - 2) * 180 = Sum of Interior Angles
=> (7 - 2) * 180 = Sum of Interior Angles
=> 5 * 180 = Sum of Interior Angles
=> 900° = Sum of Interior Angles
Now that we know the sum of interior angles,
→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.
=> Sum of Interior Angles / n = One Interior Angle
=> 900 / 7 = One Interior Angle
=> 128.57° = One Interior Angle
Hope this helps!
Help pls quick! pls and ty
Answer:
All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(
Step-by-step explanation:
P
13pls answer and will mark brainliest
Answer:
Step-by-step explanation:
1.) 6
2.) A
3.)5
8. What is the arc length, rounded to the nearest hundredth, of a semicircle with radius 5
millimeters?
a. 3.14 millimeters
b. 6.28 millimeters
c. 15.71 millimeters
d. 31.42 millimeters
Answer: D Step-by-step explanation:
HELP ME PLEASEEEEEEEEEE
PLEASE HELP AND DO NOT SEND A LINK IF YOU DO YOU WILL BE REPORTED
I need help with this I don't know if I'm getting this right please help and give explanations as well
Step-by-step explanation:
Answer 1 :[tex] \to 3 \times \dfrac{1}{3} \\ \\ \to\dfrac{3 \times 1}{3} \\ \\ \to\dfrac{3}{3} \\ \\ \to\pmb{1}[/tex]
Answer 2 :[tex] \to5 \times \dfrac{2}{4} \\ \\ \to \dfrac{5 \times 2}{4} \\ \\ \to \dfrac{10}{4} \\ \\ \to \dfrac{5}{2} \\ \\ \to \pmb{2 \dfrac{1}{2} }[/tex]
Answer:
Number 1 : Answer is 1
Number 2: Answer is 2 1/2
Step-by-step explanation:
1)
We are multiplying 3 and 1/3
3 can be written as 3/1
Multiply:
[tex]\frac{3}{1} * \frac{1}{3} = \\\\\frac{3 * 1}{1 * 3} = \\\\\\\frac{3}{3} = 1[/tex]
2)
We are multiplying 5 and 2/4
2/4 can be written as 1/2 because 2 is the half of 4
[tex]\frac{5}{1} * \frac{1}{2} = \\\\\\\frac{5}{2} = 2 \frac{1}{2}[/tex]
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PART C only
what is the volume of prism B if the volume of Prism A is 367.5in
Scale factor is 3:4
Height of prism B is 20in
NO LINKS OR RANDOM LETTERS!!!!
Answer:
The volume of prism B is 490 cubic inches.
Step-by-step explanation:
To determine what is the volume of prism B if the volume of Prism A is 367.5 inches, and the scale factor is 3: 4, the following calculation must be performed:
3 = 367.5
4 = X
4 x 367.5 / 3 = X
1,470 / 3 = X
490 = X
Therefore, the volume of prism B is 490 cubic inches.
Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition
J
Answer:
multiplication and subtraction
Step-by-step explanation:
4(n-3)
why energy is like power consumed. Prove mathematically
Answer:
Hey
Step-by-step explanation:
Sorry i need the points sorry
Which of these data sets is symmetrical?
A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43
B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43
c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43
D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43
Answer:
B is the correct answer..
5. The ratio of boys to girls in a school is 4:5 if there are 765 students in
the school, how many boys ar
A. 612
B. 510
C. 425
find each percent of change round to the nearest tenth if necessary. state wether the percent of change is an increase or decrease. 42 days to 38 days
Answer:
13.4%
Explanation:
So the change in population is 9,000. The percentage of population loss is just the change in population divided by the original population.
x=9,00067,000=0.134
Turn 0.134 into a percent so that we get 13.4%. So the percent of population loss is 13.4%.
hope it helps
please mark Brainliest
Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1
Answer:B
Step-by-step explanation:
just took the test
find the area of the figure
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
what is the name of this angle
Answer: Acute angle
Step-by-step explanation:
Obtuse, tell me if I'm wrong
Hope this Helped :T
Ryan has a piece of wood that is 5 5/12 feet long . he use 3 1/4 feet of the word for a project how much wood does Ryan have left?
Answer:
2 1/6
Step-by-step explanation:
Figure ABCD is transformed to obtain figure A'B'C'D':
(pic is below)
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
No links please :)
if u dont know the answer dont answer please:)
Please dont just answer for points :(
Answer:
A. Reflection over the y axis and a translation 4 units down
B. Yes because glide reflections preserve side and angle measures.
solve. 5th grade math. correct answer will be marked brainliest
Answer:
336.16
Step-by-step explanation:
life
Answer:
366.16
Step-by-step explanation:
just add them!
Find the value of x to the nearest tenth
Answer:
Step-by-step explanation:
To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.
Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .
Shaila bought 30 t-shirts at a clothing store. 20% of the t-shirts were blue and ½ of the shirts were black. How many of the t-shirts were NEITHER black nor blue
Answer:
9 shirts
Step-by-step explanation:
20% of the shirts were blue
20% of 30 is 6
6 shirts were blue
1/2 of the shirts were black
1/2 = 50%
50% of 30 is 15
15 shirts are black
15 + 6 = 21
30 - 21 = 9
(or you could add the percentages to get 70%, and get 30%. 30% of 30 is 9.)
Hope this helps!