Please heeeelllllllpppppp
Answer:
point A90°CCWStep-by-step explanation:
a) All of the arcs show point A is the center of rotation.
__
b) The angle marked at point A is 90°.
__
c) The arrows indicate the direction of rotation is counterclockwise.
Where is the hole for the following function located?
f(x)=x+3
(x-4)(x+3)
Suppose the time it takes a barber to complete a haircuts is uniformly distributed between 8 and 22 minutes, inclusive. Let X = the time, in minutes, it takes a barber to complete a haircut. Then X ~ U (8, 22). Find the probability that a randomly selected barber needs at least 14 minutes to complete the haircut, P(x > 14) (round answer to 4 decimal places) Answer:
Answer:
[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]
And replacing we got:
[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Step-by-step explanation:
We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:
[tex] X \sim Unif (a= 8, b=22)[/tex]
And for this case we want to find the following probability:
[tex] P(X>14)[/tex]
We can find this probability using the complement rule and the cumulative distribution function given by:
[tex] P(X<x) = \frac{x-a}{b-a} ,a \leq x \leq b[/tex]
Using this formula we got:
[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]
And replacing we got:
[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Hoping to increase the chances fo reaching a performance goal, the director of a research project has assigned three separate research teams the same task. The director estimates that the team probabilities are 0.90, 0.80, 0.70 for successfully completing the task in the allotted time. Assuming that the teams work independently, what is the probability that the task will NOT be completed in time
Answer:
P = 0.006
Step-by-step explanation:
If the first team have a probability of 0.9 to complete the task, we can said that the probability to not complete the task in time is 0.1. It is calculated as:
1 - 0.90 = 0.1
At the same way, the probability to not complete the task for the second and third team are 0.2 and 0.3 respectively and they are calculated as:
1 - 0.80 = 0.2
1 - 0.70 = 0.3
Finally, the the probability that the task will NOT be completed in time is the probability that any of the teams completed the task. So, it is equal to:
P = 0.1 * 0.2 * 0.3 = 0.006
Question 10 of 32
1 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13
i thinhk is C DONT NOW
25x^4 +120x^2y +144y^2
Answer:
We can factor this into (5x+12y)^2
Step-by-step explanation:
The is it mean, range, mode, or median of the following set of data is 6. 13, 7, 9, 5, 2, 3, 5, 4, 10, 12
the way you have laid this question out is strange but im assuming you want me to find the mean, range, medium and mode of the numbers provided?
Answer:median=order them and find the middle= 6
mean=add them all up and divide by the amount of numbers=(6+13+7+9+5+3+2+5+4+10+12)/11=6.9
range= the difference between the smallest and largest number=13-2=11
mode= the one that appears the most= 5
PLEASE ANSWER, URGENT!!! In a math exam, Zach, Wendy, and Lee have an average score 91. Wendy, Lee and Chen have an average score 89. Zach and Chen have an average score 95. What is Zach's score?
Answer:
98
Step-by-step explanation:
Z as Zach; W as Wendy; L as Lee; C as Chen
We know that average score of Z,W, and L is 91, so:
(z + w + l)/3 = 91
z + w + l = 273
Average score W, L, C = 89, so:
(w + l + c)/3 = 89
w + l + c = 267
We take both:
(z + w + l) – (w + l + c) = 273 – 267
z – c = 6
Average score Z and C = 95
(z + c)/2 = 95
z + c = 190
(z + c) – (z – c) = 184
2c = 184
c = 92
z + c = 190
z + 92 = 190
z = 98
So, Zachs score is 98
The area of a square is increasing at a rate of 2 square feet a second. If the square started with an area of 4 square feet, how much time passes before the area of the square equals 16 square feet
Answer:
6 seconds
Step-by-step explanation:
The area of interest increases from 4 square feet to 16 square feet, an increase of 12 square feet. Since the area increases by 2 square feet each second, the time required for it to increase 12 square feet is ...
(12 square feet)/(2 square feet/second) = 6 seconds
Find the equation of the line given
the gradient
Parrallel to the line y= - 2x+4
point ( 1-3)
Answer:
y = -2x - 1
Step-by-step explanation:
Step 1: Find the parallel line
y = -2x + b
Step 2: Solve for b
-3 = -2(1) + b
-3 = -2 + b
b = -1
Step 3: Write parallel equation
y = -2x - 1
The process used to collect data will __________ of the study.
affect the validity and the bias
affect only the validity
affect only the bias
not affect the validity and the bias
The process used to collect data will affect the validity and the bias of the study.
What is validityThe way data is gathered is very important for making sure a study is accurate and doesn't have any unfair influences. Validity means how well the information collected correctly shows the things the study is trying to find out. If the way data is collected is not done correctly, it can cause incorrect or untrustworthy results, making the study less reliable
Bias means when we make mistakes or go away from the correct value or truth. If the way we collect data is biased, it can lead to unfair outcomes or favor certain groups.
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Two random samples were drawn from two employers to obtain information about hourly wages. Use the following information and the PopMeanDiff template to determine if there is a significant difference in wages across the two employers.
Kroger Wal-Mart
Sample size 80 60
Sample mean $6.75 $6.25
Population standard deviation $1.00 $0.95
The p-value is _____.
a. 0.0026
b. 0.0013
c. 0.0084
d. 0.0042
Answer:
a) 0.0026
P- value is 0.0026
Step-by-step explanation:
Step(i):-
Given data
first sample size n₁= 80
mean of the first sample x⁻₁= $6.75
Standard deviation of the first sample (σ₁) = $1.00
second sample size (n₂) = 60
mean of the second sample( x₂⁻) = $6.25
Standard deviation of the second sample (σ₂) = $0.95
step(ii):-
Test statistic
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }[/tex]
Null Hypothesis :H₀: There is no significant difference in wages across the two employers.
x⁻₁= x₂⁻
Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.
x⁻₁≠ x₂⁻
[tex]Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2} }{80 } +\frac{((0.95)^{2} }{60} } }[/tex]
Z = 3.01
P- value:-
Given data is two tailed test
The test statistic Z = 3.01
First we have to find the Probability of z-statistic
P(Z>3.01) = 1- P( z <3.01)
= 1- (0.5 + A(3.01)
= 0.5 - A(3.01)
= 0.5 - 0.49865 ( from normal table)
= 0.0013
P(Z>3.125) = 0.0013
Given two tailed test
P- value = 2 × P( Z > 3.01)
= 2 × 0.0013
= 0.0026
Final answer:-
The calculated value Z = 3.125 > 1.96 at 0.05 level of significance
null hypothesis is rejected
Conclusion:-
P- value is 0.0026
Greatest common factor of 15c^2 and 25n
Answer: 5
Step-by-step explanation:
The greatest common factor of 15c^2 and 25n is 5 because if you divid the two numbers by 5, they will both be in their primal state.
15c^2 / 5 = 3c^2
25n / 5 = 5n
Which of the following equations describes the line shown below? Check all
that apply.
Answer:
Correct options are F and D.
Step-by-step explanation:
First, the slope. 5-(-5)/-4-1
This can be simplified to 10/-5, or -2.
Y intercept: (0, -3).
Slope intercept form: y=-2x-3
Point slope: y-5=-2(x+4) or y+5=-2(x-1)
expand and simplify (q-4)(q+3)(3q+5)
Answer:
Step-by-step explanation:
Hi,
[tex](q-4)(q+3)(3q+5)= (q^2+3q-4q-12)(3q+5)\\\\= (q^2-q-12)(3q+5) = 3q^3-3q^2-36q+5q^2-5q-60\\\\= 3q^2+2q^2-41q-60[/tex]
hope this helps
The remainder when 2x^2-x-5 divided by (x-3) is
Answer:
10
Step-by-step explanation:
2x^2-x-5= 2x^2-6x + 5x -15 +10= 2x(x-3) +5(x-3) + 10= (2x+5)(x-3) + 10
(2x^2-x-5)/(x-3)= 2x+5 + 10/(x-3)
So the remainder is 10
Write an equation in standard form for a line that passes through (2, 2) and (0, -3).
Answer:
y=(5/2)x-3
Step-by-step explanation:
slope of the line=(y2-y1)/(x2-x1)=(-3-2)/(0-2)=5/2
use any point to get the line:
y-(-3)=(5/2)(x-0)
y=(5/2)x-3
How to simplify the fraction 4 over 2 8
Answer:
4 over 28 = 1 over 7
Step-by-step explanation:
28 divided by 4 = 7
4 divided by 4 = 1
so 1 over 7
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 91.3% for the medical students admitted through special programs. If 10 of the students from the special programs are randomly selected, find the probability that at least 9 of them graduated.
Answer:
[tex]P(X\geq 9)=P(X=9)+P(X=10)[/tex]
And using the probability mass function we got:
[tex]P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383[/tex]
[tex]P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402[/tex]
And replacing we got:
[tex] P(X \geq 9) = 0.383 +0.402= 0.785[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of students graduated", on this case we now that:
[tex]X \sim Binom(n=10, p=0.913)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
We want to find the following probability:
[tex]P(X\geq 9)=P(X=9)+P(X=10)[/tex]
And using the probability mass function we got:
[tex]P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383[/tex]
[tex]P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402[/tex]
And replacing we got:
[tex] P(X \geq 9) = 0.383 +0.402= 0.785[/tex]
There are 7 times as many female students as male students at a university. What fraction of the university are female
Let’s give total students a number. Let’s say there are 800 total students
Men = x
Women = 7x. ( 7 times more)
Together there are 8x students.( 7x + x)
We have 8 x = 800
Divide both sides by 8
X = 100
100 men
700 women
Now find the fraction which is number of women / total students = 700/800 = 7/8
7/8 of the students are women.
Simplify ^36 - ^16 =
Answer:
[tex]x^{36}-x^{16}[/tex] is already at its simplest form
Step-by-step explanation:
You cannot factor or GCF anything out of it, and you cannot just subtract exponents. Therefore, it is simplified already.
whats the answers to this ?
Answer:
Hi there!
The correct answers are: A, B, D, E
Step-by-step explanation:
First of all, perpendicular means when two lines intersect to form a 90° angle.
Second ⊥ means perpendicular.
When something is a bisector it means it evenly slices a line in half.
A student is given data that follows a normal distribution. According to the data, the mean amount of time that students spent reading outside of school each month was 10 hours, and the standard deviation was 2 hours. The student creates a normal distribution curve to model the situation and labels the curve so that 34% of the students fall in the range between 10 and 12 hours. Select the information that justifies the student's labeling.
a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.
b. Only 95% of the students will fall in the range of 10-2 and 10+2 hours
c. Only 68% of the students will fall in the range of 10-6 and 10+6 hours
d. Only 95%of the students will fall in the range of 10 -8 and 10 + 8 hours.
Answer:
a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.
Step-by-step explanation:
He appies the empirical 68-95-99.7 rule, where 68% of the data is expected to be within ne standard deviation from the mean, to the right and to the left.
Half of this (68%/2=34%) will be between the mean and one deviation standard to the right. This is between 10 hours and 10+2=12 hours.
The right answer is:
a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 2x + 9, then f(-1) = _____.
Answer:
7
Step-by-step explanation:
f(x) = 2x + 9
Put x as -1.
f(-1) = 2(-1) + 9
Multiply both terms 2 and -1.
f(-1) = -2 + 9
Add the terms -2 and 9.
f(-1) = 7
Suppose that demand, D, for a particular product is given by the function D = 100 - 2p, where p is the price in dollars of the product and D is the number of products that can be sold at that price. What does the slope of this function mean in the context of the problem?
Answer:
D = 100 - 2p
Where p is the price in dollars of the product and D is the number of products that can be sold at that price
And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units
Step-by-step explanation:
For this problem we know the following function given:
D = 100 - 2p
Where p is the price in dollars of the product and D is the number of products that can be sold at that price
And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. 2 4 6 8 10 12 14 amount of sugar (mg) 60 80 100 120 140 160 180 200 Frequency What is the sample size for this data set
Answer:
The sample size for the data set = 56
Step-by-step explanation:
The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.
In this example, the frequencies are: 2 4 6 8 10 12 14
Therefore, the sample size (n) is calculated as follows:
n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56
Therefore the sample size for the data set = 56
The sample size for the data set = 56
Given that,
Data was collected for a sample of organic snacks.The calculation is as follows:
= 2 + 4 + 6 + 8 + 10 + 12 + 14
= 56
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Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Hey there! :)
Answer:
a. 3
b. -22
c. -2
d. -2
e. 5a + 8
f. a² + 6a + 3
Step-by-step explanation:
Calculate the answers by substituting the values inside of the parenthesis for 'x':
a. f(1) = 5(1) - 2 = 3
b. f(-4) = 5(-4) - 2 = -22
c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2
d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2
e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8
f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =
a² + 6a + 3
Parallelogram L M N O is shown. Angle L is (2 x + 10) degrees and angle O is (x + 20) degrees.
In parallelogram LMNO, what is the measure of angle N?
50°
70°
110°
130°
Answer:
110°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary:
∠L +∠O = 180°
(2x +10) +(x +20) = 180
3x = 150 . . . . . . . . . . . . . subtract 30
x = 50
Then ...
∠L = (2x +10)° = (2·50 +10)° = 110°
Opposite angles in a parallelogram are congruent, so ...
∠N = ∠L = 110°
The measure of ∠N in parallelogram LMNO is 110°.
What is a parallelogram?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.
In parallelogram LMNO:
∠L + ∠O = 180° (corresponding angles add up to 180°)
Hence:
(2x + 10) + (x + 20) = 180
x = 50°
∠N = ∠O (opposite angles are equal)
∠N = 2(50) + 10 = 110°
The measure of ∠N in parallelogram LMNO is 110°.
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The selection of a password of a computer account has the followingrestrictions: The password must be 6, 7, or 8 characters long. A charactercan be lower case letter or a decimal digit. The first character must be alowercase letter. Determine the total number of possible passwords with thegiven restrictions
Answer:
2,095,636,800,000 possible passwords.
Step-by-step explanation:
There are:
26 lower case characters.
10 decimal digits.
Passwords with 6 characters:
The first character must be a lower case letter, so 26 possible outcomes.
Any of the other 6 - 1 = 5, there are 36 possible options. So
[tex]T_{6} = 26*36^{5} = 1572120576[/tex]
Passwords with 7 characters:
Same logic as above, just the last 6 with 36 possible options. So
[tex]T_{7} = 26*36^{6} = 56596340736[/tex]
Passwords with 8 characters:
7 with 36 possible options
[tex]T_{8} = 26*36^{7} = 2037468300000[/tex]
Total:
[tex]T = T_{6} + T_{7} + T_{8} = 1572120576 + 56596340736 + 2037468300000 = 2095636800000[/tex]
2,095,636,800,000 possible passwords.
Assume that 1700 births are randomly selected and 4 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Answer: Significantly low.
Step-by-step explanation:
Ok, we know that out of 1700 randomly selected, only 4 of them are girls.
Then the frequency is:
p = 4/1700
Now, using the subjective judgement (meaning that it is based on the opinion only, there is no real math involved)
I can conclude that the number of girls is significantly low, meaning that out of 1700 births we have 4 girls, then the other 1694 must be boys.