HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answers
Answer:
Mean: [tex]93.2\; \rm ^{\circ} F[/tex].
Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].
Step-by-step explanation:
Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].
If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:
[tex]\overline{Y} = m\, \overline{X} + b[/tex].
[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:
[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].
In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:
[tex]F = (9/5)\, C + 32[/tex].
It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:
[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].
[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].
Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].
Related Questions
What is the missing integer?
Answers
Answer:
2
Step-by-step explanation:
-3-2=-5
its almost like you are doing addition when all the numbers are negative so if u add it together and then and the negative at the end this should help you remember
Answer:
[tex]2[/tex]
Step-by-step explanation:
We want to solve this following equation for [tex]x[/tex]: [tex]-3-x=-5[/tex].
We can add [tex]3[/tex] to both sides of the equation to get [tex]-x=-2[/tex].
We can then divide both sides of the equation by [tex]-1[/tex] to get [tex]x=2[/tex].
So, the missing integer is [tex]\boxed{2}[/tex].
Note: [tex]2=5-3[/tex]. Coincidence?
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
2x+65=4x−3
Answers
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
Here is the histogram of a data distribution.
4
3
2
1
5 6 7 8
9
10
What is the shape of this distribution?
A. Bimodal symmetric
B. Bimodal skewed
Ο Ο Ο Ο Ο
C. Unimodal symmetric
D. Unimodal skewed
E. Uniform
Answers
Answer:
Uniform
Step-by-step explanation:
The shape of the given histogram is uniform.
Option E is the correct answer.
We have,
A uniform histogram is a type of histogram where all the bars have approximately the same height, indicating that the data is evenly distributed across the range of values.
In other words, the frequency of occurrence for each value or interval is roughly the same.
For example, consider the following data set of 20 numbers:
{4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
If we create a histogram of this data set with five bars, each representing a range of four values (e.g., 4-7, 8-11, etc.), we would expect to see a uniform histogram with approximately the same height for each bar.
This indicates that the data is evenly distributed across the range of values.
Uniform histograms are useful for visualizing data that is evenly distributed or to identify outliers that are not consistent with the rest of the data. However, in some cases, a uniform histogram may not accurately represent the underlying distribution of the data, especially if there are gaps or clusters of data within certain ranges.
In such cases, other types of histograms or statistical methods may be more appropriate.
Thus,
The shape of the given histogram is uniform.
Learn more about histograms here:
https://brainly.com/question/16819077
#SPJ7
The length of a car is [tex]\sqrt{163}[/tex] ft. Will this car fit in a garage that measures 10 ft long? If not, what is the minimum length of a garage long enough for this car?
Answers
Step-by-step explanation:
example:
{163} you dont enough the texwhat is the nth term for this sequence?
-7, -12, -17, -22, -27
Answers
Evaluate the expression when x= -7. x²+ 4x-3
Answers
To pay for his art supplies, Travis makes hand-painted skateboards to sell online. He paints 2
skateboards every 7 days.
Complete the table
Answers
Answer:
14 days for 4 and 28 days for 8 and 42 for 12
Step-by-step explanation:
dobbke them to get your answer
Answer:
PLEASE ANSWER MY QUESTION AS WELL :)
HERE R UR ANSWER:
Day 2 = 14
Skateborads painted:
Day 3: 28 = 8
Day 4: 42 = 12
Step-by-step explanation:
Need Helpp!!!
Line segment CD is shown on a coordinate grid:
The line segment is reflected about the y- axis to from C’D’.
Which statement describes C’D’
C’D’ is perpendicular to CD
C’D is half the length of CD
C’D’ is greater than twice the length of CD
C’D’ and CD are equal in length
Thanks!
Answers
Answer: -1.56i^ +1.07j^
Step-by-step explanation:Vector C = -1.56i^ +1.07j^
This question requires that we use the properties of the scalar product of two vectors to find the required x and y component.
The dot product of two perpendicular vectors is equal to and the product of two vectors that are not parallel is equal to a nonzero value.
These are the properties that have been used in solving this problem alongside solving the simultaneous questions generator.
Explanation:
The full solution can be found in the attachment below.
Thank you for reading and I hope this post is helpful to you.
Need help fast 1 question
Answers
Answer:
H
Step-by-step explanation:
Write an equation in which the quadratic expression 4x^2-4x-48 equals 0.
Answers
Answer:
4x2 + -4x + -48 = 0
4x2 + -4x + -48 = 0Reorder the terms:
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0Ignore the factor 4.
Step-by-step explanation:
hope it helps:)
A crane cable can support a maximum load of 21,000 kg. If a bucket has a mass of 4,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane? Enter any fractions as reduced improper fractions.
The crane can safely lift up to _____ cubic meters.
Answers
Answer:
k hh kn gigih ih jodoh Iin om i j OB yoh gih bogoh UB
The sum of two numbers is 26. The first number is two more than 5 times the second number. What are
the two numbers? Define your variables. Write two equations and then solve. Be sure to write your
answer in a complete sentence!
Answers
Answer:
Let us assume the two numbers be x and y
From the above condition we can write, x + y = 26 equation 1
second condition first no x = 2 more 5 times of the second no. that is 5y + 2
then we can write, x = 5y + 2..... eqation (2)
from equation 1 x + y = 26
subtracting y from each side , x+ y - y = 26 - y
x = 26 - y
plugging this value of x in eqn. no (2 ) we get,
26-y = 5y + 2
subtracting 5y on both sides,
26 - y - 5y = 5y - 5y + 2
26 - 6y = 2
subtracting 26 from both sides,
26 -26 -6y = 2- 26
-6y = -24
eliminating minus sign from both sides,
6y = 24
dividing by 6 on both sides,
y = 24/6 = 4
substituting this value of y in equation 1 we get,
x + 4 = 26
subtracting 4 from both sides,
x = 26- 4 = 22
Step-by-step explanation:
so we solve the 2 eqns we get x = 22 and y = 4
the two numbers will be 22 and 4
Need answers to all quick
1) Slope = 6 and y-intercept (0, -2)
2) Slope = 2/3 and y - intercept (0, 5)
3) Slope = -5 and y - intercept (0, 0)
4) Slope = 0 and y - intercept (0, -1)
5) Slope = -1 and y - intercept (0, 4)
Answers
Answer:
See explanation
Step-by-step explanation:
For any line, with slope [tex]m[/tex] and y-intercept [tex](0, b)[/tex] the line is [tex]y=mx+b[/tex].
1)
[tex]m=6, b=-2[/tex], Line: [tex]y=6x-2[/tex]
2)
[tex]m=2/3, b=5[/tex], Line: [tex]y=2/3*x+5[/tex]
3)
[tex]m=-5, b=0[/tex], Line: [tex]y=-5x[/tex]
4)
[tex]m=0, b=-1[/tex], Line: [tex]y=-1[/tex]
5)
[tex]m=-1, b=4[/tex], Line: [tex]y=-x+4[/tex]
Veronica is choosing between two health clubs. Studio A has membership is $23.00 and a monthly fee $24.75. Studio B has a membership fee of $53 and a monthly fee $17.25. After how many months will the total cost for each health club be same?
Answers
Answer:
5 months
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!!!!!Determine the least three-digit number that is divisible by 3, 5, and 9.
Answers
Answer:
135
Step-by-step explanation:
Hope it helps!!!!!!!
john earns $98.40 in an 8-hour day. what is his hourly wage?
Answers
Answer:
easy just divide it
98.40 / 8 = 12.3
12.3
breainest please
is 16/6 a rational numer
Answers
Given the f(x) =8(3-x) what is the value of f(-1)
Answers
Answer:
32 alternative forms: 2⁵
Step-by-step explanation:
Answer:
f(-1)=32
Step-by-step explanation:
f(x) =8(3-x)
f(-1)=8(3-(-1))
f(-1)=8(3+1
f(-1)=8*4
f(-1)=32
It costs $1.20 per person and $3.75 per hour to rent a meeting room at the library. Let x represent the number of people and y represent the number of hours. If 3xpeople rented the room for 2yhours, write an expression to represent the total cost of the rental?
Answers
Answer:
1.2(3x)+3.75(2y)
Step-by-step explanation:
multiply 1.2 by what you know for number of people
multiply 3.75 by what you know for number of hours
PRACTICE
Compare each pair of radical expressions.
SEE EXAMPLE 1
26. 6/3 and 108
27. 2121 and 4/5
28. 40/42 and 42/40
11:59 PM
29. 2/120 and 130
30. 168 and 2/18
31. 196 and 3/15
Write each expression so the radicand has no
perfect squares other than 1. SEE EXAMPLES 2 AND 1
32. 1210
33. V250
34. (108
35. 2/21
36. 198x8
37. 1200x
vork PNG
dical E...
38. 132x4 y2
39. 4xl ***
Answers
Answer:
which one do u need help on... or all of them
Step-by-step explanation:
why is this even a question
x + y - a = t
help
Answers
Answer:
x+y=t+a
Step-by-step explanation:
its seems to be the unwanted question
(x is the subject) x=a+t-y
(y is the subject) y=a+t-x
(a is the subject) a=x+y-t
(t is the subject) t=x+y-a
subtract the value of 3 from the value of the 1 in the number 2103
Answers
Answer:
97
Step-by-step explanation:
100 - 3 = 97
PLEASE, MARK ME BRAINLIESTPlease help me solve this problem ASAP
Answers
Answer:
x=1.6
Step-by-step explanation:
explanation: causeee lol
6x + 19x =
A. 25x
B. 25 x 2
C. 26 x
D. 26x2
Answers
Answer:
25x
Step-by-step explanation:
6x and 19x are like terms so we can add them
6x+19x = 25x
A chess club 20 with members is electing a new president. Lashonda received 8 votes. What percentage of the club members voted for Lashonda?
Answers
Answer:
Lashonda is not popular. She only received 40% of the votes.
Step-by-step explanation:
8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.
Solve for x... please help
Answers
Answer:
[tex]{ \rm{(2x + 156) = (4x + 192)}} \\ { \tt \{alternate \: angles \}} \\ \\ { \rm{4x - 2x = 156 - 192}} \\ \\ { \rm{2x = - 36}} \\ \\ \dashrightarrow \: { \rm{x = - 18}}[/tex]
[tex]\\ \sf\longmapsto 2x+156=4x+192[/tex]
[tex]\\ \sf\longmapsto 2x-4x=192-156[/tex]
[tex]\\ \sf\longmapsto -2x=36[/tex]
[tex]\\ \sf\longmapsto x=-18[/tex]
A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?
Answers
Answer:
0
Step-by-step explanation:
By inspection or finding points, we see that 2nd ave is perfectly flat, or in other words, has slope of 0.
If line 1 is parallel to line 2, it means their slopes are the same.
So, the new road parallel to 2nd ave has a slope of [tex]\boxed{0}[/tex].
HELP
Calculate f(12) if f(n) = 20 + 15(n-1) *
Ed collects autographs. The graph shows the total number of autographs
that Ed has collected over time, in weeks. Find f(12), and explain what
it represents.
Number of autographs
1 n)
90
80
(5,80)
70
(465)
60
50 13,50)
40
30
(2,35)
20 . (1, 20)
10
n
0
1 2 3 4 5 6
Time (weeks)
f(12)= 200
f(12)=185
f(12)= 385
(12) = 420
Answers
Answer:
f(12) = 185
Step-by-step explanation:
Plug 12 into every n variable of the given equation:
20 + 15(n - 1)
20 + 15(12 - 1
20 + 15(11)
20 + 165 =
f(12) = 185
Hope this helps!
Answer:
Step-by-step explanation:
Calculate f(12) if f(n) = 20 + 15(n-1) *
Ed collects autographs. The graph shows the total number of autographs
that Ed has collected over time, in weeks. Find f(12), and explain what
it represents.
Number of autographs
1 n)
90
80
(5,80)
70
(465)
60
50 13,50)
40
30
(2,35)
20 . (1, 20)
10
n
0
1 2 3 4 5 6
Time (weeks)
f(12)= 200
f(12)=185
f(12)= 385
(12) = 420
7 (-2) - 15 =
Find the value of the expression.
Answers
Answer:
-29?
Step-by-step explanation:
Identify the zeros of the function allgebraically
F(x)=x+2
Answers
Answer:
x = -2
Step-by-step explanation:
Equate x+2 with 0
x+2 = 0
x = -2
Feel free to mark this as brainliest! :D
