A data set has 25 and standard deviation 5 find the z-score of each value , 39,18,125,25,11
Answers
The z-score of 39 is 2.8, the z-score of 18 is -1.4, the z-score of 125 is 20, the z-score of 25 is 0, and the z-score of 11 is -2.8.
How to calculate the z-score?To calculate the z-score of each value, we will use the formula:
z = (x - mean) / standard deviation
where x is the value, mean is the mean of the data set, and standard deviation is the standard deviation of the data set.
Given the data set has a mean of 25 and a standard deviation of 5, we can calculate the z-score for each value as follows:
For x = 39:
z = (39 - 25) / 5 = 2.8
For x = 18:
z = (18 - 25) / 5 = -1.4
For x = 125:
z = (125 - 25) / 5 = 20
For x = 25:
z = (25 - 25) / 5 = 0
For x = 11:
z = (11 - 25) / 5 = -2.8
Therefore, the z-score of 39 is 2.8, the z-score of 18 is -1.4, the z-score of 125 is 20, the z-score of 25 is 0, and the z-score of 11 is -2.8.
Learn more about z-score
brainly.com/question/15016913
#SPJ11
Related Questions
I need help with my practice quizzes so i can be able to take my final quiz tomorrow
Answers
Explanation:
170% of 16 means:
\(\frac{170}{100}\cdot16\)Which is:
\(\begin{gathered} 1.7\cdot16 \\ =27.2 \end{gathered}\)Answer: 27.2
An athlete runs 100 metres in 10.4 seconds work out his average speed in kilometres per hour give your answer to one decimal place 
Answers
The average speed in kilometers per hour is 34.61 KMPH if an athlete runs 100 meters in 10.4 seconds .
What is speed ?
Speed is a measure of how fast an object is moving or how quickly an action is taking place. It is usually measured in units of distance per unit of time, such as miles per hour (mph) or kilometers per hour (kph).
Given ,
An athlete runs 100 meters in 10.4 seconds.
And we have to find the average speed in kilometers per hour.
So, average speed = total distance / total time taken
= 100 / 10.4
= 1000/104 meters/sec
So, we have to change units from meters/sec to kilometers per hour
So we multiply with 18/5 .
= 1000 / 104 * 18/5
= 200 * 9 / 52
= 1800 / 52
= 34.61 kmph.
Hence, The average speed in kilometers per hour is 34.61 KMPH if an athlete runs 100 meters in 10.4 seconds .
To learn more about Speed from the given link.
brainly.com/question/12322912
#SPJ1
The next model of a sports car will cost 14.9% less than the current model. The current model costs $55,000. How much will the price decrease in dollars? What
will be the price of the next model?
Decrease in price
Price of net model:
Answers
_______________________________
Decrease In Price: = 14.9% × $55,000 ÷ 100= $8,195Price Of Next Model: = $55,000 - $8,195= $46,805_______________________________
2. A town is planning a circular walkway that will be 2 meters wide. The walkway will have an inter radius of 5 meters with a circumference of about 31. 4 meters. Find the area of the wallway
Answers
The area of the walkway is 24π square meters.
To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.
The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).
A_inner = π * \(5^{2}\) = 25π square meters.
The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.
The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).
A_outer = π * \(7^{2}\) = 49π square meters.
Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.
A_walkway = 49π - 25π = 24π square meters.
The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.
To learn more about area here:
https://brainly.com/question/32312055
#SPJ4
Let R be the region in the first quadrant bounded by the graph of y = 2 \sqrt x, the horizontal line y = 6, and the y-axis, as shown in the figure.
a) Find the area of R.
b) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the horizontal line y = 7.
c) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the y-axis.
Answers
a) To find the area of region R, we need to calculate the area between the curves y = 2√x and y = 6 in the first quadrant. The region is bounded by the y-axis and the horizontal line y = 6.
To find the area, we integrate the difference between the upper and lower curves with respect to x:
Area = ∫[0 to a] (6 - 2√x) dx,
where 'a' is the x-coordinate where the curves intersect.
b) To find the volume of the solid generated when region R is rotated about the horizontal line y = 7, we can use the method of cylindrical shells. Each cylindrical shell has a height of 6 - 7 = -1 (as y = 6 is below y = 7) and a radius equal to x.
The volume is given by the integral:
Volume = ∫[0 to a] 2πx(6 - 7) dx,
where 'a' is the x-coordinate where the curves intersect.
c) To find the volume of the solid generated when region R is rotated about the y-axis, we can use the method of disks. Each disk has a radius equal to y and a thickness given by dx.
The volume is given by the integral:
Volume = ∫[0 to b] π(y^2) dx,
where 'b' is the y-coordinate where the curves intersect.
To learn more about coordinate : brainly.com/question/22261383
#SPJ11
if the probability of winning a teddy bear at a carnival is 0.89 and 40 turns are taken how many teddy bears will be won
Answers
If probability of winning a teddy bear at a carnival is 0.89 and 40 turns are taken, then he should have won about 35 teddy bears.
The probability of winning a teddy bear at a carnival is = 0.89, then
The probability of not winning a teddy bear is = 1 - 0.89 = 0.11,
We use binomial-distribution to calculate the probability of winning "k" teddy bears in "n" turns,
Where probability of winning (p) = 0.89,
The formula for the binomial distribution is,
⇒ P(k) = C(n,k) × p^k × (1-p)^(n-k),
The probability of winning "k" teddy bears in 40 turns is :
⇒ P(k) = C(40,k) × 0.89^k × 0.11^(40-k),
To find "expected-number" of teddy bears won, we multiply the probability of winning k teddy bears by k, and sum over all possible values of k,
⇒ E(number of teddy bears won) = \(\[ \sum_{k=0}^{40} \]\) k × P(k),
⇒ \(\[ \sum_{k=1}^{40} \]\) k × C(40,k) × 0.89^k × 0.11^(40-k),
On further solving ,
We get,
⇒ E(number of teddy bears won) ≈ 35.6,
Therefore, we expect to win about 35 teddy bears if we take 40 turns .
Learn more about Probability here
https://brainly.com/question/4293666
#SPJ4
A road rises 1 m for every 15 m measured along the road. a) What is the angle of inclination of the road to the nearest degree? b) How far does the car travel horizontally when it travels 15 m along the road ? Give the answer to the nearest tenth of a metre.
Answers
Answer:
The answer is below
Step-by-step explanation:
The road increases by a height of 1 m for every 15 m distance. The slope of a line is the ratio of its rise to run. The slope (m) is the tangent of the inclination. Hence:
Slope = rise / run = tanθ
Where θ is the angle of inclination.
a) Given rise = 1 m, run = 15 m
Slope of road (m) = rise / run
m = 1 m/ 15 m
m = 0.0667
slope = tanθ
tanθ = 0.0667
θ = tan⁻¹(0.0667)
θ = 3.81
θ ≈ 4°
b) cosθ = horizontal distance / 15 m
horizontal distance = 15 m × cos 4
Horizontal distance = 14.96
Horizontal distance = 15 m to nearest tenth
HELP ASAP!!
ABC is similar to QRS. If AB=3 when QR=1,
what is the measure of BC if RS=1.5?
A: 1.5
B: 3
C: 4.5
D: 5
Answers
Answer:
C
Step-by-step explanation:
Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1 and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5
Answer:
C
Step-by-step explanation:
＿＿＿ AA
*～/■ ■ ⊂ P
| ■ ■.（＿）
U U￣￣U U
Given: g(x) = x - 4 and h(x) = 2x - 8,
What is g(h(10))?
0 212
O V6
O V6-8
276 - 8
need help asap and need step by step!!!
Answers
h(10)=2(10)-8
h(10)=20-8
h(10)=12
h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8
Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8
This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
Answers
(6/X) + 2x^2 =
(6/3) + 2(3^2) =
2 + 2(9) =
2 + 18=
20
Answer:
D) 20
Step-by-step explanation:
Hope It Helps!!!
You toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.
1. Label each column of rectangles with "Coin toss" or "Spinner."
2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.
3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."
4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)
5. What is the probability of tossing tails and spinning yellow? (1 point)
Answers
The sample space in the tree diagram regarding the probability will be HR, HY, HB, TR, TY, TB.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event.
In this case, the sample space in the tree diagram will be HR, HY, HB, TR, TY, TB where,
H= head
T = tail
B = blue
r = red
y = yellow
The number of outcomes are in the event "Toss a tails, spin yellow will be 1.
The probability of tossing tails and spinning yellow will be:
= 1/2 × 1/3
= 1/6
Learn more about probability on:
https://brainly.com/question/24756209
#SPJ1
First try was incorrectA triangular prism can be unfolded into the net shown below. Find thetotal surface area of the triangular prism.5 mm2.1 mm4.5 mm15.2 mm
Answers
ANSWER:
The total surface area of the triangular prism is 69.77 square millimeters
STEP-BY-STEP EXPLANATION:
We have that the formula surface area of the remaining prism is the following
\(SA=b\cdot h+L\cdot(s_1+s_2+s_3)\)Replacing:
s1, s2 and s3 are the sides of the triangle, the base and the height are of the triangle and L is the length of the rectangle.
\(\begin{gathered} SA=2.1\cdot4.5+5.2\cdot(5+2.1+4.5) \\ SA=9.45+60.32 \\ SA=69.77 \end{gathered}\)Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
Answers
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
For such more question on histograms
https://brainly.com/question/2962546
#SPJ8
A jar has 10 red marbles, 3 blue marbles, and 7 yellow marbles. What percent of the marbles are blue?
Answers
Answer:
3/20 1.5/10 15/100 15%
Step-by-step explanation:
done
Answer:
I think the answer is 15%
Step-by-step explanation:
15%of the marbles are blue.
\( \frac{3}{20} \binom{ \times }{ \times } \frac{5}{5} = \frac{15}{100} \)
\( \frac{15}{100} = 15\%\)
which number line represents 3-5?
Answers
Answer:
?
please rewrite the question cause it seems unclear!
Five numbers have a range of 14. Four of the numbers are 20, 22, 31 and 25. Work out the two different possible values for the fifth number.
Answers
Answer:
17
34
Step-by-step explanation:
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
the missing number can either by the highest value or the lowest value. this is because none of the numbers given when subtracted from each other would give a value of 14
let x = missing number
14 = x - 20
x = 20 + 14 = 34
or
14 = 31 - x
x = 31 - 14
x = 17
online bidding for a purse increases
by is for each bid After the the $160 initial bid?? Please help me
Answers
Answer:
a) y= 60+ 5x
b) 9 bids
Step-by-step explanation:
a) the function is y= 60+ 5x
b) 105= 60 + 5x
45= 5x
x= 45/5
x=9
there were 9 bids
Answer:
a: y = 5x + 60
b: 9 times
Step-by-step explanation:
105 = 5x + 60
-60 -60
------------------------
45 = 5x
÷5 ÷5
--------------
9 = x
what is the definition for continuity?
Answers
the fact of something continuing for a long period if time without being changed or stopped
Sentence. there has been no continuity in that class - they've had six different teachers.
What is value of x?
Enter your answer in the box.
x =
Answers
Answer:
x = 10
Step-by-step explanation:
\(\dfrac{x+4}{8}=\dfrac{2x+1}{12}\)
Cross multiply:
\(\implies 12(x+4)=8(2x+1)\)
Expand brackets:
\(\implies 12x+48=16x+8\)
Collect and combine terms:
\(\implies 48-8=16x-12x\\\\\implies 40=4x\)
Divide both sides by 4:
\(\implies x=10\)
\(\\ \tt\hookrightarrow \dfrac{x+4}{2x+1}=\dfrac{8}{12}=2/3\)
\(\\ \tt\hookrightarrow 3(x+4)=2(2x+1)\)
\(\\ \tt\hookrightarrow 3x+12=4x+2\)
\(\\ \tt\hookrightarrow x=12-2\)
\(\\ \tt\hookrightarrow x=10\)
A minibus drives with a constant
speed of 30 miles per hour. How
long will it take to travel a distance
of 15 miles ?
Answers
Answer:
It would take 30 min (half an hour)
Step-by-step explanation:
15 is half of 30 and if the bus is going 30mph it would take half the time
Answer:
30 minutes.
Step-by-step explanation:
30 mph = 1 hour
so
30/2 = 15
We convert the hour to minutes
1 hour = 60 minutes
Now we do the same thing we did we the mph to the minutes, we divide it by 2.
60/2 = 30.
So, 30 is equal to 15 mph.
The histogram here shows nerve impulse rates (in m/s) among 49 banana slugs. Banana Slug Nerve Impulses 12 a. Which interval on the x-axis contains the median? Hint: there are 49 slugs. Which slug has the middle value? Work from left to right until you've reached that frequency. 8 Frequency 4 b. Calculate the frequency of slugs with impulse rates that are at least 60 m/s. 0 10 20 30 40 50 60 70 80 90 100 impulse rate (m/s) C. Calculate the relative frequency of slugs with impulse rates that are at least 60 m/s. d. Calculate the relative frequency of slugs with impulse rates that are less than 60 m/s.
Answers
The histogram here shows nerve impulse rates (in m/s) among 49 banana slugs.
a. The interval on the x-axis that contains the median is 40-50 m/s. This is because the median is the middle value of the data set, and there are 49 slugs in total. The 25th slug (the middle value) falls in the 40-50 m/s interval.
b. The frequency of slugs with impulse rates that are at least 60 m/s is 8. This is calculated by adding the frequencies of the intervals 60-70 m/s, 70-80 m/s, 80-90 m/s, and 90-100 m/s (2+2+2+2=8).
c. The relative frequency of slugs with impulse rates that are at least 60 m/s is 8/49, or about 0.163. This is calculated by dividing the frequency of slugs with impulse rates that are at least 60 m/s (8) by the total number of slugs (49).
d. The relative frequency of slugs with impulse rates that are less than 60 m/s is 41/49, or about 0.837. This is calculated by subtracting the frequency of slugs with impulse rates that are at least 60 m/s (8) from the total number of slugs (49) and then dividing by the total number of slugs (49).
To know more about frequency click here:
https://brainly.com/question/30481928
#SPJ11
What is the answer please hurry I need helpp
Answers
The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.
This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).
Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.
Hope I helped you...
A. $15 dollars were initially deposited into the account, which grows at a annual rate of 2%
UNDERSTAND why:
this shows the initial amount then the rate of growth while the X in this equation is the eXponential
If the function f(x) is defined by f(x) = X/2–6 then which of the following is the value of f(10)?
(A) -1
(B) 14
(C) 2
(D) 7
Answers
Answer: a
Step-by-step explanation:
10/2 = 5
5-6=-1
Kyle had 36 books in his locker. Some were library books, some were
textbooks, and the rest were telephone books. The number of library books
and telephone books combined equals twice the number of textbooks. The
number of textbooks and telephone books combined equals three times the
number of library books. How many of each type of book were in Kyle's
locker?
Answers
Answer:
Step-by-step explanation:
Simplify (three^six)^eigthteen
Answers
Answer:
\((3^6)^{18}=3^{108}=3.38139191\times10^{51}\)
The triangles are congruent by SSS
Which transformation(s) can be used to map one
triangle onto the other? Select two options.
- reflection only
- translation only
- dilation, Then translation
- rotation, then translation
- rotation then dilation
Answers
Answer:
A and D
Step-by-step explanation:
-Reflection only
-rotation, then translation
Reflection and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles are congruent by SSS
JKL and MKL are the two triangles which sharing same segment KL.
A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points this set is called the axis or plane of reflection.
Rotation, then translation is also used in the given triangle.
Hence, reflection and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
c = 2 π r solve for r
Answers
c/2π = 2πr/2π <--divide both sides by 2π
c/2π = r
r = c/2π <-- answer :)
2 πr=C
r=C/2 π
The answer is r=C/2 π
Find the total surface area of the
following cylinder:
r= 5 cm
5 cm
SA = [? ]ī cm2
![Find the total surface area of thefollowing cylinder:r= 5 cm5 cmSA = [? ] cm2](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/VpA9E2bpRsRo1Z4VUo9s4o4dJPfalmf7.png)
Answers
Answer:
Surface area = 2πrh + 2πr^2
= (2 × 22/7 × 5 ×5 + 2×22/7×25)cm^2
= (1100/7+1100/7)cm^2
= 2200/7 = 314.28571) cm^2 (ans)
Hope it helps
Answer:
100 pi
Step-by-step explanation:
In the diagram of circle P, mXYZ is 72. What is the value of x
Answers
Answer:
108°
Step-by-step explanation:
Describe at least three dangers of oversharing online.
Answers
Answer:
If you overshare online your talking to strangers who can learn more about you
Step-by-step explanation:
Another danger is that they can find out more about you and try to kidnap you
Answer:
See explanation.
Step-by-step explanation:
1.
Someone can steal your information.
2.
They can pretend to be you, if your info is stolen.
3.
They can pretend to be someone else. They can also get you out of your school or college, and cause you harm.
hope this helps.