Answer:
0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins
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.
Distribution of n values from a normal distribution:
If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.
This means that
[tex]\mu = 46*5 = 230[/tex]
[tex]s = 4\sqrt{46} = 27.13[/tex]
(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?
This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In this distribution
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{250 - 230}{27.13}[/tex]
[tex]Z = 0.74[/tex]
[tex]Z = 0.74[/tex] has a pvalue of 0.7704
0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins
Find the measure of 46.
46 = [?]
24°
46
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
Same side interior angles are supplementary
<6+24=180<6=180-24<6=156°what is the area of 12 1/2 yards by 17 1/5 yards
Answer:
The answer is more easily found if we convert the measurements to decimal.
It is now 12.5yards by 17.20 yards
= 12.5 x 17.2 = 215 square yards
Step-by-step explanation:
Adidas NMDs cost $120. You have a 15% off coupon. What is the discounted price before tax?
The cost:$120
Discount:15%
15/100*120
=$18
So you will have to pay( exclusive of taxes): 120-18
=$102
Answer:102
Step-by-step explanation:
I got it right
Mina is analyzing products of negative numbers. Is the product (- 7.291015)(- 3.214195) • (- 2.124819) positive or negative? How do you know ? Explain your reasoning . If 99 negative numbers are multiplied together , is the product positive or negative ? How do you know ? Explain your reasoning
Answer:
Step-by-step explanation:
Mina is analyzing products of negative numbers. Is the product (- 7.291015)(- 3.214195) • (- 2.124819) positive or negative? How do you know ? Explain your reasoning . If 99 negative numbers are multiplied together , is the product positive or negative ? How do you know ? Explain your reasoning
Answer:
Probably the easiest way to visualise negative and positive numbers is using a number line, a tool with which you may well be familiar, especially if you have children at primary school.
It looks something like this:
Number line showing a scale of -25 to +25.
A number line can help you to visualise both positive and negative numbers and the operations (adding and subtracting) that you can do with them.
When you have an addition or subtraction to calculate, you start at the first number and move the second number of places either to the right (for an addition) or left (for a subtraction).
This number line is a simplified version, but you can draw them with every number included if you wish. The big advantage of a number line is that it is very easy to draw for yourself on the back of an envelope or a piece of scrap paper, and it is also quite hard to go wrong with the calculation. As long as you are careful to count the number of places that you are moving, you will reach the correct answer.
Assume that 75 was the mean test score on an exam, with a standard deviation of 4 points.
What percent had scores between 67 and 75? Use the % symbol in your answer.
Answer:
68%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 75, standard deviation of 4.
What percent had scores between 67 and 75?
67 = 71 - 4
75 = 71 + 4
Within 1 standard deviation of the mean, so, by the Empirical Rule, 68%.
A dance studio is offering a ballroom dancing class. In order for the class to be held, a minimum of 20 people must sign up to take the class. The studio ballroom can accommodate up to 60 people at a time. Which inequality graph models the number of individuals that can be in the class?
Answer:
B.
Step-by-step explanation:
The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included
Participants in a behavior study randomly select an identification bracelet from a basket. There are a total of 54 bracelets in the basket. There are 12 pink, 9 orange, 6 green and 27 blue. If all the bracelets were used, about what percent of the participants ended up with orange bracelets?
Answer:
About 16.67% of the participants ended up with orange bracelets.
Step-by-step explanation:
The percentage of orange bracelets is given by the number of orange bracelets multiplied by 100% and divided by the total number of bracelets.
In this question:
Total of 54 bracelets.
9 orange.
So
9*100%/54 = 16.67%
About 16.67% of the participants ended up with orange bracelets.
Find the area of each parallelogram
Please help with these thank you
(NO LINKS)
Please help this assignment is over due and I don't get it thx;)
Answer: m=6
Step-by-step explanation:
Divide both sides by 3.4
3.4m/3.4 and 20.4/3.4
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
5/12
we use pythag to find the missing side length
hope this helps :D
Answer correctly please:)
Answer:
5
Step-by-step explanation:
I am not sure if you are aware of this and I am sure you will be able to get a good one
Answer:
Distance AB = √74 units is the answer.
Step-by-step explanation:
(-3,4) and (2,-3)
distance between two points,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(2-(-3))^2 + (-3-4)^2}\\\\d = \sqrt{(5)^2 + (-7)^2}\\\\d = \sqrt{25+49}\\\\d = \sqrt{74}[/tex]
∴ distance between A(-3,4) and B(2,-3) is √74 units.
There is 20% of a 50lb. Bag of dog food left. How much has been used?
Answer:
40 lbs was used
Step-by-step explanation:
If there is 20% left, that means 80% was used
50 *80%
Change to decimal form
50 *.80
40
40 lbs was used
Choose the equation where b=6 is a solution. 11- b = 6 b + 4 = 9 8b = 48 63 b = 9
Answer:
8b = 48
Step-by-step explanation:
this is because you would substitute the b for the 6 and then multiply straight across giving you a total of 48.
Answer:
8b = 48
Step-by-step explanation:
8 x 6 = 48
Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit
Answer:
B) -35
Step-by-step explanation:
-20+(-15)
as taught when there is a minus and plus sign together it becomes a minus sign automatically (+ -)= -
Therefore -20+(-15)
will be -20-15 which gives you -35
Which expression is a sixth root of -1+i sqrt3?
(Look at photo for options)
Answer:
D
6sqrt2(cos(20)+I sin (20))
Answer:
The answer is D: 6sqrt2(cos(20)+isin(20))
Step-by-step explanation:
I’ve honestly been trying to figure out why this is the answer but I have no idea I just happened to get it right.
What is the value of x in this octagon?
Enter your answer in the box.
Answer: 166 degrees
Step-by-step explanation:
An octagon has 1080 degrees in it. So just subtract all of the angles out of 1080.
1080-104-126-163-130-131-107-153= 166
ANSWER: 166 degrees
Answer:
166 degrees
Step-by-step explanation:
in an octagon, there are a total of 1080 degrees,
so we take all of the degrees we do know, and subtract them from 1,080 degrees! --- (1080-104-126-163-130-131-107-153= 166)
we end up with 166 degrees! :)
hope this helped!
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = [tex]3\frac{1}{3}[/tex]
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = [tex]3\frac{2}{5}[/tex]
The improper fraction is 17/5
Decimal value 3.4
Wednesday = [tex]3\frac{3}{8}[/tex]
The improper fraction is 27/8
Decimal 3.375
Thursday = [tex]3\frac{1}{2}[/tex]
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
Find the mean, median and mode of the following data sets.
1. 79, 84, 92, 81, 86, 77, 95, 80, 88, 84
2. 8, 9, 9, 9, 9, 10, 11, 15
3. 16, 23, 18, 30, 32, 34, 8, 19, 21
Answer:
1.
mean= 84.6
median=84
mode=84
2.
mean=10.14
median=9
mode=9
3.
mean=22.3
median=21
mode=phi
Step-by-step explanation:
mean: the sum of of the quantities by their number
median: the median value after rearranging the values
mode: the value that occurs most frequently
in the second question
mean = (8+9+9+9+9+10+11+15)/8
median(even number) =(9+9)/2=9
mode=9
Answer:
for data set 1
1.mean-84.6
2.median-(84+84)/2 = 84
3.mode-84
for data set 2
1.mean-9.25
2.median-(9+9)/2 = 9
3.mode-9
for data set 3
1.mean-22.3
2.median-21
3.mode-no mode with this data set
hope this helped!!
HELPPPPPPPPPPPPPPPPPPPPPP PLEASEEE...................................
Answer: (4,5)
Step-by-step explanation:
Anything less than 4 and 5, would be equal to or less than 4
Answer:
4, 5
Step-by-step explanation:
You may find using a number line to be helpful. Enter your answer as a simplified mixed number, if necessary.
4(− 2/3 ) =
Answer:
-2 2/3 or as a mixed number -8/3
Step-by-step explanation:
Answer: -2 2/3
Step-by-step explanation:
What is the radius of the following Circle?
7 in
O
9 in
14 in
28 in
3.5 In
Hello!
This is strange. It seems to give you the answer.
I am assuming your teacher would just like you to identify what a radius is.
All the same, I'll let you know the equation for finding a radius.
r= d × 2 (D is equal to diameter, and r to radius)
If you were given the diameter,, you would simply multiply it by 2 to get your radius.
The correct answer to your question is:
7 inches.
waffletowne
Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?
Answer:
Measure of E'F' = 9
Step-by-step explanation:
If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.
Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]
E'F' = [tex]\frac{3}{4}\times 12[/tex]
= 9
Therefore, measure of side E'F' will be 9.
What is the answer to this problem?
Answer:
wow very much hard lol I wish I could help
your friend finds the area of the triangle..
is you friend correct?
yes or no
explain your reasoning
!NO LINKS, NO FILES!
please :)
find the y intercept on a graph
Find the length of the segment below round to nearest tenth
giving brainlist and ten points just say wether the answer is a b c or d!
Answer:
A. x > 3
Step-by-step explanation:
have a nice day!
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.
a. Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. If required, round your answer to three decimal places.
b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.
Answer:
a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.
b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state
Step-by-step explanation:
Question a:
The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.
The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So
0.75*0.75 = 0.563
0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.
b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.
If it doesn't have a delay, 85% probability of continuing without a delay.
If it has a delay, 75% probability of continuing with a delay.
So, for the long run:
x: current state
85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So
[tex]0.85x + 0.25(1 - x) = x[/tex]
[tex]0.6x + 0.25 = x[/tex]
[tex]0.4x = 0.25[/tex]
[tex]x = \frac{0.25}{0.4}[/tex]
[tex]x = 0.625[/tex]
0.625 = 62.5% probability that in the long run the traffic will not be in the delay state
URGENT PLZ HELP
find measure angle LMN
Answer:
(14.3/(2*bi*h)) * 360
Use the calculator
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ф = s / r
Ф = 14.3 / 5
Ф = 2.86 radians
2.86 * 180 / [tex]\pi[/tex] = 163.865924 °
find the erea of the trapezoid.
Answer:
288
Step-by-step explanation:
Answer:
36 m²
Step-by-step explanation:
A = 1/2h × (sum of bases)
A = 1/2(4)(6 + 12)
A = 2·(18)
A = 36 sq m