Answer:
The probability of Dan making less than $255 is 0.5987 or 59.87%
Step-by-step explanation:
Given that:
Mean = μ = $240
SD = σ = $60
We have to find the probability that Dan will make less than $255
First of all, we have to find the z-score of 255
z-score is denoted by z and is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Here,
x = 255
Putting the values
[tex]z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]
Now we have to look at the z-score table to find the probability of 0.25
P(x<255) = 0.5987
Converting into percentage
59.87%
Hence,
The probability of Dan making less than $255 is 0.5987 or 59.87%
Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses.
Ninth-grade students: 5,1, 2, 5, 3,8
12th-grade students: 4,2,0, 2, 3, 1
a. By hand, calculate the mean, variance, and standard deviation of each of these data sets. Which is more spread out, the ninth-grade or 12th-grade data set?
b. Make a graph of both data sets. Which of these data sets appears more spread out? Does your answer agree with your conclusion in part (a)?
Answer:
Following are the solution to the given point:
Step-by-step explanation:
Grade of students:
Grade of student:
In point a:
Grade of [tex]9^{th}[/tex] students:
[tex]\to n= 6\\\\\to Mean = \frac{ \sum x_i}{n} \\\\[/tex]
[tex]= \frac{ 5+1+2+5+2+8}{6}\\\\ = \frac{24}{6}\\\\ = 4[/tex]
[tex]\to Variance\\\\\sigma^2 = \frac{\sum(x_i -\bar{x})^2}{n-1}[/tex]
[tex]=\frac{1}{5}(10)\\\\=2[/tex]
[tex]\to Standard \ deviation ( \sigma) :\\\\= \sqrt{\sigma^2}\\\\= \sqrt{2}\\\\= 1.141[/tex]
Since the Grade of [tex]9^{th}[/tex] student's variance is higher than [tex]12^{th}[/tex]grade,
In point b:
Please find the attached file.
The plot above shows that the student of the ninth grade is spread more widely, as the student from 0-8 to 12 is from 0-4.
Complete the table so that the cost per banana remains the same.
number of
bananas
cost in
dollars
unit price
(dollars per banana)
4
0.50
6
0.50
7
0.50
10
0.50
10.00
0.50
16.50
0.50
Step-by-step explanation:
No. of banana Cost Unit price
4 2 0.50
6 3 0.50
7 3.5 0.50
20 10 0.50
20 10 0.50
33 16.50 0.50
Cost = No of banana x unit price
Cost = 4 x 0.50 = 2
Cost = 6 x 0.50 = 3
Cost = 7 x 0.50 = 3.50
Cost = 20 x 0.50 = 10
No of banana = Cost / Unit price
No of banana = 10 / 0.50 = 20
No of banana = 16.50 / 0.50 = 33
The ratio of the number of silver watches to the number of gold watches in a shop is 2:3. Which of the following best describes the number of silver and gold watches in the shop?
Answer:
let it snow
Step-by-step explanation:
merry christmas
write the number with the least value using the digits 1 through 9. use each digit only once. explain your reasoning
Answer: 123456789
Step-by-step explanation:
We need to write a 9-digit number using the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9.
(where we can use each digit only one time)
We want the value of this 9-digit to be the smallest as possible, then:
The largest single value digit (9), needs to be in the smallest value place (in the units place)
The second larger digit (8), must be in the second smallest value place (in the tens)
And so on, then the 9-digit number will be something like:
123456789
Any other permutation will be larger than this number.
Find the slope of the line through each pair of points. (-20,-4), (-12, -10)
Answer:
-0.75 i think
Step-by-step explanati
what is the sum
56+90=_____
Answer:
146
Step-by-step explanation:
Write 7×7×7 using an exponent.
Answer:
7^3
Step-by-step explanation:
The kinetic energy of an object is described with the formula K = v2 where K is the kinetic energy of the object in joules (J). m is the mass of the object in
kilograms (kg), and v is the velocity of the object in meters per second (w). What is the velocity of an object with a kinetic energy of 375 J and a mass of 50
kg?
Answer:
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of
Which of the following is not a rate?
35km/5 min 240miles/8 miles 95 words/1 minute 16oz/1 lb
Answer:
240 miles/ 8 miles
Step-by-step explanation:
you can't measure a mile per mile (/=per)
What is the slope of the line that passes through the points (-4, 0)and (-4, -10) ?
Write your answer in simplest form.
Answer:
Slope is undefined or infinity.
Step-by-step explanation:
On average, Americans have lived in 4 places by the time they are 18 years old. Is this average a different number for college students? The 50 randomly selected college students who answered the survey question had lived in an average of 3.79 places by the time they were 18 years old. The standard deviation for the survey group was 1.2. What can be concluded at the α = 0.10 level of significance?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the average is a different number for college students
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The population mean is [tex]\mu = 4[/tex]
The sample mean is [tex]\= x = 3.79[/tex]
The standard deviation is [tex]\sigma = 1.2[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : \mu = 4[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 4[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }[/tex]
=> [tex]z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }[/tex]
=> [tex]z = -1.237[/tex]
From the z table the area under the normal curve to the left corresponding to -1.237 is
[tex]P(Z < -1.237) = 0.10804[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -1.237) = 2 * 0.10804[/tex]
=> [tex]p-value = 0.21608[/tex]
Generally from the values obtained we see that
[tex]p-value > \alpha[/tex]
Hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the average is a different number for college students
Please help build a graph
A relation that is symmetric with respect to the x-axis CANNOT be a function,
Please select the best answer from the choices provided
O T
O F
Answer:
TRUE!!!
Step-by-step explanation:
y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Answer:
y = 3.584
Step-by-step explanation:
Given
Variation = Inverse Proportional
When y = 7, x = 4
Required
Find y when x = 5
First, we need to represent the variation.
y varies inversely proportional to x³
This implies that
y ~ 1/x³
Convert variation to equation
y = k/x³
Make k the subject
k = x³y
When y = 7, x = 4
This gives:
k = 4³ * 7
k = 64 * 7
k = 448
To determine the value of y when x = 5;
We make use of y = k/x³
Substitute 5 for x and 448 for k
y = 448/5³
y = 448/125
y = 3.584
Find the volume of a cylinder whose radius is 4 and it’s height is 8
Answer:
[tex]128\pi[/tex]
Step-by-step explanation:
Formula of cylinder: [tex]\pi r^{2} h[/tex]
[tex](\pi )(4^{2}) (8)[/tex]=128pi
Tara bought 30 books at a yard sale. She now has 220 books. Which equation can be solved to find b, the number of books Tara had before the yard sale?
Answer:
220 = B + 30
Step-by-step explanation:
This can be rearranged many ways
B= 190
B= 220 - 30
ETC...
5 plus 5 euqals what number help
Answer:
10
Step-by-step explanation:
lol
...its 10
Step-by-step explanation:
1+1+1+1+1= 5
1+1+1+1+1= 5
5+5=10
How many 3/2 are in 10
Answer:
not sure,but i will tell you when i figure it out
Step-by-step explanation:
At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from?
Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
Yes
No it is much high
No it is much low
Evaluate.
0^2=
I do not get this way toooooooo hard
Answer:
zero
Step-by-step explanation:
Answer:The answer is 0
Step-by-step explanation: Sorry i didn't explain it.
Please help me thank you I appreciate it
Find the distance between the lines with equations 5x+8y=0 and y=-5/8x-8.
A.7.1
B.7.11
C.7.12
D.7.13
Answer:
B
Step-by-step explanation:
Answer: It's A 7.1
ON THE EDGE 2121!
Simplify |3 - 11| - (15+ 3+2)2
Answer:
-26
Step-by-step explanation:
so, the absolute value of 3 and 11 together is 14.
14-(15+3+2)2
14-(20)2
14-40
-26
Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Please show work!
Answer:
62 32/39%
Step-by-step explanation:
[tex]\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%[/tex]%
The percentage of Mrs. Rogers crafts sold is 62.82%.
Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Percent of crafts sold =Number of crafts sold/Total number of crafts ×100
= 49/78 ×100
= 0.6282×100
= 62.82%
Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
4.
IF AABD
ACBE, find the value of x.
27 cm
12 cm
SE
E
23.4 cm
Answer:
[tex] x = 10.4 [/tex]
Step-by-step explanation:
Since ∆ABD is similar to ∆CBE, therefore, the ratio of their corresponding side lengths would be equal to each other. Thus:
[tex] \frac{BD}{BE} = \frac{AD}{CE} [/tex]
BD = 12 cm
BE = x
AD = 27 cm
CE = 23.4 cm
Plug in the values
[tex] \frac{12}{x} = \frac{27}{23.4} [/tex]
Cross multiply
[tex] x \times 27 = 23.4 \times 12 [/tex]
[tex] 27x = 280.8 [/tex]
Divide both sides by 27
[tex] x = 10.4 [/tex]
AI Drew a line that was 3/4 of an inch long. He decided to shorten it and erased 1/4 of an inch of the line. How long was the line that remained express the answer in the lowest terms.
Answer:
1/2
Step-by-step explanation:
3/4 minus 1/4 is equal to 2/4
2/4 is 1/2
A Texas teenager from Cedar Park holds the new world record for having the longest legs (female) and the longest teen legs. Her legs are 4 ft. and 5
inches long. How many inches long are her legs?
O 45 inches
O 53 inches
оо
48 inches
O 40 inches
Answer:
53 inches
Step-by-step explanation:
4 feet is 48 inches and you put 5 inches into that its 53 so its 53 inches.
Best answer gets a brainiest Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer
Answer:
11:35 am
Step-by-step explanation:
1 hour and 10 minutes at the Willis Tower,
3 hours and 10 minutes at Navy Pier
1 hour and 15 minutes shopping
Total time: 5 hours 35 minutes
They need to be at dinner at 5 :10 pm
Subtract 5 hours
12:10 pm
Subtract 35 minutes
Subtract 10 minutes makes 12:00pm
Then go back 25 more minutes
11:35 am
Which graph shows a dilation?
Hurry only 30mins left
Answer:
A
Step-by-step explanation:
A dilation is a dilation if a shape gets smaller or bigger while remaining similar
B, C, D gets smaller but does not remain similar while A also gets smaller but it remains similar
