Answer:
3/8
Step-by-step explanation:
this is because there are 8 students in all and only three of them are boys
I need to know 2, 3, and 4.
Answer:
Step-by-step explanation:
Let the equation of the line 'a' is,
y = mx + c
Here, m = slope of the line
c = y-intercept
For line 'a',
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m = [tex]\frac{10}{16}[/tex]
m = [tex]\frac{5}{8}[/tex]
y-intercept = 20
Therefore, equation of the line 'a' is,
y = [tex]\frac{5}{8}x+20[/tex]
Similarly, equation of the line 'b' is,
y = m'x + c'
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m' = [tex]\frac{20}{16}[/tex]
m' = [tex]\frac{5}{4}[/tex]
y-intercept = 0
Therefore, equation of the line is 'b' is,
y = [tex]\frac{5}{4}x[/tex]
1). Line 'b' represents a proportional relationship → FALSE
2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE
3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE
4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE
If 50% of a number is 70 and 80% of the same number is 112, find 30% of that number.
pls i need fast *NO LINKS*
Answer:
42
Step-by-step explanation:
It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get
x=140.
we check if that number is true by finding 80% of 140.
4/5 * 140 = 112. So that means 140 is the number we want
30% of 140 is 3/10 * 140, which is 420/10, which is 42
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. Complete the distributions.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.
B. P(_____) = _______.
C. Find the 95th percentile for the mean time to complete one month's reviews.
D.The 95th Percentile =________.
Answer:
a) [tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]
b) The 95th percentile is 4.4935 hours.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours.
This means that [tex]\mu = 4, \sigma = 1.2[/tex]
16 reviews.
This means that [tex]n = 16, s = \frac{1.2}{\sqrt{16}} = 0.3[/tex]
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.
This is the pvalue of Z when X = 4.25 subtracted by the pvalue of Z when X = 3.5. So
X = 4.25
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{4.25 - 4}{0.3}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a pvalue of 0.7967
X = 3.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 4}{0.3}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a pvalue of 0.0475
0.7967 - 0.0475 = 0.7492
So
[tex]P(3.5 \leq X \leq 4.25) = 0.7492[/tex]
C. Find the 95th percentile for the mean time to complete one month's reviews.
This is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 4}{0.3}[/tex]
[tex]X - 4 = 0.3*1.645[/tex]
[tex]X = 4.4935[/tex]
The 95th percentile is 4.4935 hours.
.) Suppose college students produce 650 pounds of solid waste each year, on average. Assume that the distribution of waste per college student is normal with a mean of 650 pounds and a standard deviation of 20 pounds. What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Answer:
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 650 pounds and a standard deviation of 20 pounds.
This means that [tex]\mu = 650, \sigma = 20[/tex]
What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?
Less than 620:
pvalue of Z when X = 620. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{620 - 650}{20}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
More than 700:
1 subtracted by the pvalue of Z when X = 700. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 650}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Total:
0.0668 + 0.0062 = 0.073
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
g Based on data from the Garbage Project conducted by the Midwestern State University the weights of paper discarded by the households in a certain residential area weekly is Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb. Which value separates the top 2% of the weekly discarded paper weights in this area
Answer:
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.
This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]
Which value separates the top 2% of the weekly discarded paper weights in this area?
This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]
[tex]X - 7.95 = 2.054*3.12[/tex]
[tex]X = 14.36[/tex]
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
(THIS IS NOT A TEST OR AN ASSESSMENT QUESTION)
Hugo averages 32 home runs per season with a standard deviation of 2.5. Jacob averages 27 home runs per season with a standard deviation of 1.6. Last season Hugo hit 36 home runs and Jacob hit 31 home runs. Who had more home runs relative to their usual seasonal average? Explain.
Answer:
Jacob had more home runs relative to his usual season average than Hugo did.
Step-by-step explanation:
The key solving this is to express their respective home runs in z-value forms.
Z = (x - ų)/óx
X = Current home runs
Ų = Mean
= Meanóx = Standard deviation
For Hugo,
X = Current home run = 31
Ų = Mean = 27
Óx = Stardard deviation = 1.6
Z = (x - ų)/óx
Z = (31 - 27)/1.6 = 2.5
Hope this helped!!!
The person who had more home runs relative to their usual seasonal average was Jacob.
Calculations and Parameters:Representing their home runs in z-value forms.
Where
Z = (x - ų)/óxX = Current home runsŲ = Mean= Meanóx = Standard deviation
To find the home run for Hugo,
X = Current home run = 31Ų = Mean = 27Óx = Stardard deviation = 1.6Therefore,
Z = (x - ų)/óx
Z = (31 - 27)/1.6
= 2.5
Hence, Jacob had the most home runs relative to their usual seasonal average.
Read more about standard deviation here:
https://brainly.com/question/12402189
An amusement park sells 5 bottles of water for every
2 bottles of juice. In one hour, the amusement park
sells 20 bottles of water. How many bottles of juice
does the amusement park sell?
Answer:
8 bottles of juice
Answer:
8 bottles of juice
Step-by-step explanation:
if 5bottles of water = 2bottles of juices
20bottles of water =
20/5 = 4
4 * 2 = 8
Answer = 8bottles of juices
m is a negative number.
Which statement is correct?
Choose only one answer.
A m + 9 is always positive
Bm + 9 is always negative
c m + 9 cannot be zero
D m + 9 could be positive or negative or zero
Answer:
D
Step-by-step explanation:
Examples
-10 +9 = -1
-8 +9 = 1
-9+9=0
Help me with this please
Answer:
x = 37.5
Step-by-step explanation:
The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees. That gives us the number 105°
Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).
That gives us:
(180 / 105) / 2
= 75 / 2
= 37.5
Gina uses 6.4 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
4.8
Step-by-step explanation:
6.4×1/4=1.6
6.4-1.6=4.8
In a lumberjack competition, a contestant is blindfolded and then spun around 9 times. The contestant then immediately tries to hit a single point (the target) in the middle of a horizontal log with an axe (while still blindfolded). The contestant receives
15 points if their swing is within 3cm of the target.
10 points if their swing is between 3cm and 10cm of the target.
5 points if their swing is between 10cm and 20cm of the target
zero points if their swing is further away from the target (and someone may lose a finger!).
Let Y record the position of the hit, so that Y = y > 0 corresponds to missing the target point to the right by y cm and Y = - y < 0 corresponds to missing the target to the left by y cm. Assume that Y is normally distributed with mean mu = 0 and variance 100 cm^2. Find the expected number of points that the contestant wins.
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
Answer:
240
Step-by-step explanation:
We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.
Hope I helped
Answer:
240
Step-by-step explanation:
50%*x=150
0.5x=150
x= 300
30%*x=90
0.3x= 90
x= 300
80%*300=
0.8*300= 240
Hey guys can you guys help me thanks :)
Answer:
d
Step-by-step explanation:
60x9 =540
Solve similar triangles (advanced)
Solve for x
x=?
Answer:
x = 1.2
Step-by-step explanation:
AD/AB = DE/BC (Similarity Theorem)
AD = 6 + 4 = 10
AB = 6
DE = 2
BC = x
Plug in the values
10/6 = 2/x
Cross multiply
10*x = 2*6
10x = 12
Divide both sides by 10
x = 12/10
x = 1.2
Does this graph represent a function? Why or why not?
Answer:
The answer is a because it does pass the verticle line test
If John gets paid $45.00 an hour and works 10 hours, how much does he earn?
A nationally known producer of snack cakes is preparing to launch a new lemon-flavored cake. The marketing department wants to test the differences in customer experiences with the cake, depending on the coloring that is added to the batter during baking. The department thinks that the novelty of a lemon cake with blue coloring will make the cake-eating experience and taste more enjoyable. Thirty participants, taken from among the customers who came to their on-site store, are brought to the lab and asked to taste two different cakes each: one that is tinted blue and one that is tinted bright yellow. The participants rate each cake on a scale from 1 to 7, with higher numbers indicating greater sweetness. The researcher found the following: MBlue = 5.6 MYellow = 3.42 sD = 2.46
In the food science experiment, when comparing the observed statistic to the critical value, what is the correct statistical decision and interpretation?
A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
B. Reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
C. Fail to reject the null hypothesis and conclude that customers do not rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
D. Reject the null hypothesis and conclude that customers do not rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
Answer:
A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow
Step-by-step explanation:
The researcher found out that;
MBlue = 5.6 and MYellow = 3.42
This means that more customers found lemon snacks cake tinted blue as sweeter since Mblue > Myellow.
Null hypothesis is that lemon cake with blue coloring will make the cake-eating experience sweeter and more enjoyable.
Thus; since Mblue > Mellow, we will Fail to reject the null hypothesis and conclude that the customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
I’m stuck on this one. Can any one help me?
3, and apparently its "too short of an answer on this website"
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance
Answer:
0.5398
Step-by-step explanation:
Given that :
Total possible numbers vice presidents invited = 7
Required number of vice presidents invited = 1
Probability that a certain vice president is invited ;
P(a certain V. P is invited) = required outcome / Total possible outcomes
P(a certain V. P is invited) = 1/ 7
P(1 of the V. P's hasn't been invited to attend any of the last 4 games)
Then ; it means any of the remaining (7 - 1) = 6 has been invited ;
Hence,
P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4
Likelihood that it could be due to chance :
(6/7)^4 = 0.5397750
= 0.5398
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
An isosceles triangle has two angles that are each 57. Find the measure of the third angle
Answer:
The third angle measures 66°
Step-by-step explanation:
If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.
57+57=114
180-114=66
We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.
57+57+66=180
We were correct! Now we have the measurements of all three of the triangle's angles. Great job!
I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!
Please Help No fake answers
Answer:
5.09 or 5.10(if u round up)
Step-by-step explanation:
When you convert √24 it will be 5.099
The decimal point must lie between 5 and 0
Hope this helps:)
I will mark u brainalist
Answer:
C
Step-by-step explanation:
The cost of 5 notebooks (5x)
Less than (<)
The cost of 3 notebooks (3x)
Plus a 2 dollar pen (2)
All together: 5x < 3x + 2
Matches with the given expression.
What is the first and second step to solving -16=2a-8
What is the solution to the problem
Which of the following rules represents the function shown in the table?
Answer:
I do not know
Step-by-step explanation:
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
AAAAAAA HELP ME PLZZZZ
Answer:
12 i believe
Step-by-step explanation:
volume; LxWxH
3x2x2
3x2=6
6x2=12
sorry if this is wrong lol but this is what i believe it is
You want to buy some groceries there is a coupon that offers a %15 discount on your total bill your bill comes to $76 how much money will you save
Answer:
$64.6
Step-by-step explanation:
15% off $76 = -$11.4 = $64.6
At the end of the first day three of the cricketers scored these runs 28, 61 and 39
The man adds them together and the total score is 128
But his friend checks his calculation by using approximation
Show how the friend used approximation to check the calculation
Answer:
His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.
