Answer:
0.00621
Step-by-step explanation:
To solve for this question: we would be making use of the z score formula.
z = (x - μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation
Step 1
Find the Standard Error
From the above question, we are given number of samples, hence, the standard deviation we would use for our z score is Standard error.
Standard error = Standard deviation/√n
Where n = number of samples = 25
Standard deviation = 4
Standard error = 4/√25
= 4/5
= 0.8
Step 2
Calculate the z score
Since we are given number of samples in the question,
z score = z = (x - μ)/σ
where
x is the raw score = 14
μ is the population mean = 12
σ is the standard error = 0.8
z score = 14 - 12/0.8
z score = 2.5
Step 3
We find the Probability.
The probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month is calculated as:
We find the Probability of the Z score 2.5 using a Z table.
P(z = 2.5) = P(x ≤ 14) = 0.99379
P(x > 14) = 1 - P(x<14)
= 1 - 0.99379
= 0.0062097
Approximately ≈ 0.00621
Therefore, the probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month is
0.00621
the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a policy change, five more dollars are added on and then the total reimbursement amount is multiplied by 1.25 describe how to transform the graph of f. what is the total reimbursement for a trip of 95 miles?
Answer:
The slope becomes 0.5625 and y intercept becomes 12.5.
$65.9375
Step-by-step explanation:
Given that
the total reimbursement function in terms of [tex]m[/tex] miles:
[tex]f(x) = 0.45m +5[/tex]
After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.
To find:
How to transform the graph of f.
Total reimbursement for a trip of 95 miles?
Solution:
[tex]f(x) = 0.45m +5[/tex] can also be written as:
[tex]y = 0.45m +5[/tex]
It is nothing but slope intercept form, comparing with [tex]Y = M X+ C[/tex]
M is the slope and C is the y intercept.
Slope of the graph is 0.45.
Y intercept is 5.
After change in the function, first of all add $5.
[tex]0.45m + 5+5 = 0.45m+10[/tex]
Now, multiply with 1.25
Resulting function becomes:
[tex]f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5[/tex]
Kindly refer to the attached image for the graph of the two functions.
Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.
To find the reimbursement for a trip of 95 miles:
Put m = 95
[tex]f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }[/tex]
which fractions are equivalent to 15/20
Answer:
[tex]\frac{3}{4}[/tex], [tex]\frac{30}{40}[/tex], [tex]\frac{45}{60}[/tex], [tex]\frac{60}{80}[/tex]....e.t.c are all equivalent fractions
Step-by-step explanation:
For the answer you need to know bout equivalent fractions
TO find equivalent fractions you have to multiply the numerator and denominator by the same amount
E.x.[tex]\frac{15}{20}=\frac{(15)(2)}{(20)(2)} =\frac{30}{40}[/tex]
Therefore [tex]\frac{30}{40}[/tex] is an equivalent fraction
NEED HELP ASAP!! Angles of Elevation and Despression! Need to find y! Round to the nearest tenth!!
Answer:
[tex] y = 178.3 ft [/tex]
Step-by-step explanation:
y is opposite to the reference angle, 27°.
350 ft is adjacent to the reference angle, therefore:
[tex] tan(27) = \frac{y}{350} [/tex]
Multiply both sides by 350
[tex] tan(27)*350 = \frac{y}{350}*350 [/tex]
[tex] tan(27)*350 = y [/tex]
[tex] 178.3 = y [/tex] (to nearest tenth)
[tex] y = 178.3 ft [/tex]
Please help I dont understand
Answer:
X+Y=8W^2-7W+7
Step-by-step explanation:
HEY,... HERES YOUR ANSWER ! I HOPE I HELPED! BRAINLIEST WOULD BE APPRECIATED :)
THE QUESTION-->
X=7W^2+4W-6
Y=W^2-11W+13
X+Y=?
THE EXPLANATION-->
SO LETS JUST ADD BOTH EQUATIONS!
SO...
X+Y=7W^2+4W-6+W^2-11W+13
SIMPLIFY LIKE TERMS..
7W^2+W^2+4W-11W-6+13
SIMPLIFY EVEN FURTHER..
X+Y=8W^2-7W+7
THE ANSWER-->
X+Y=8W^2-7W+7
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84. What was the rental cost per hour?
Greetings,
I hope you and your family are staying safe and healthy!
Answer: $4.12 per hour
Step-by-step explanation:
So, 9am to 4pm is 7 hours
Why? Because you go from 10am, 11am, 12pm, 1pm, 2pm, 3pm, and 4pm.
So now all we have to do is to divide the amount he paid by the number of hours.
Like this:
[tex]\frac{28.84}{7} = 4.12[/tex]
Therefore,
The rental cost per hour is $4.12
-----------------------------------
I'm a trusted helper! If you find my answer to be helpful, please kindly give it 5 stars and press the heart. Thanks!
We are trying to come up with a regression model that predicts university GPA. Is high school GPA a significant predictor for university GPA?
Answer:
No.
Step-by-step explanation:
High school GPA is not a significant predictor of University GPA.
The Grade Point Average obtained at the end of high school education has almost nothing (in my opinion, it has nothing to do with) to do with grades that the scholar will obtain in college. Many scholars find it difficult adjusting to the social and academic life demands of tertiary institution.
A good predictor for university Grade Point Average would be:
The CGPA (Cumulative Grade Point Average) obtained by the student(s) in each year/session/level/part in the university.
This will be a significant predictor for university GPA.
Water flows through a pipe at a rate of 6300 liters every 8.5 months. Express this rate of flow in cubic feet per hour. Round your answer to the nearest hundredth.
Answer:
0.04
Step-by-step explanation:
[tex] \dfrac{6300~L}{8.5~month} \times \dfrac{1000~cm^3}{1~Liter} \times \dfrac{1~ft^3}{(30.48~cm)^3} \times \dfrac{12~months}{1~year} \times \dfrac{1~year}{365.25~days} \times \dfrac{1~day}{24~hours} \times \dfrac{1~day}{24~hours} = [/tex]
[tex]= 0.04 \dfrac{ft^3}{hour}[/tex]
The value of the flow rate in cubic feet per hour is 0.04.
What is the rate of flow?The rate of the flow of the fluid is defined as the volume of the fluid flowing through the cross-section per unit of time. The unit of the flow rate is cubic feet per hour or cubic meter per hour etc.
Given that water flows through a pipe at a rate of 6300 liters every 8.5 months. Then the flow rate in cubic feet per hour will be calculated as below:-
1 litre = 0.0353 cubic feet
6300 litres = 6300 x 0.0353
6300 litres = 222.4 cubic feet
1 month = 730 hours
8.5 months = 6205 hours
The rate of flow in cubic per hour will be:-
Rate of flow = 222.4 / 6205 = 0.04 cubic feet per hour
Therefore, the value of the flow rate in cubic feet per hour is 0.04.
To know more about the rate of flow follow
https://brainly.com/question/21630019
#SPJ5
Identify the center and radius for the equation y2 = -8x – x2 – 24 – 6y.
Answer:
Hey there!
This circle would have a center at (-4, -3) and a radius of 1.
Let me know if this helps :)
Jin tried to evaluate 5 + 2 x 9 step-by-step.
5+2 x 9
Step 1: =7 x 9
Step 2: =63
Find jin’s mistake
A: step 1
B: step 2
C: Jin did not make a mistake
Answer:
5 + 2 x 9
Step 1 = 7 x 9
Step 2 = 63
Step-by-step explanation:
= 5 + 2 x 9
= 5 + ( 2 x 9 )
= 5 + 18
= 23
Step 2 = 7 x 9
= 63
Step 3 = 63
C. jin did not make a mistake
Sorry i'm wrong :)
Put these fractions in order of size, smallest to largest:
4/3, 3/4, 3/8, 5/8, 7/6
Answer:
3/8, 5/8, 3/4, 7/8, 4/3
Step-by-step explanation:
If f(x) = 2x + 3 for all values of x, what is the value of f(-3)?
Answer:
f(-3)= -3
Step-by-step explanation:
We are given the function:
f(x) = 2x+3
and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.
Therefore, we can substitute -3 for each x in the function.
f(x)= 2x+3 at x= -3
f(-3)= 2(-3) +3
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
Multiply 2 and -3.
f(-3) = (2*-3) +3
f(-3)= (-6)+3
Add -6 and 3.
f(-3)= (-6+3)
f(-3)= -3
If f(x)= 2x+3, then f(-3)= -3
witch number produces a rational number when multipled by 0.25
Answer:
1
Step-by-step explanation:
.25 is already a rational number as it equals 25/100 and 1/4 simplified
Need help I don’t understand
Answer:
Complementary angles add up to 90 degrees, or a right angle.
In this case, it would be (c) AEF and FED, AEG and CEG
Step-by-step explanation:
PRACTICE ANOTHER Calculate the standard deviation σ of X for the probability distribution. (Round your answer to two decimal places.) σ = (No Response) 1.00
Complete Question
The complete question is shown on the first uploaded image
Answer:
The standard deviation is [tex]\sigma = 1.17[/tex]
Step-by-step explanation:
From the question we are told that
The data is
x 1 2 3 4
P(X = x) 0.2 0.2 0.2 0.4
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \sum x^2 P(x) - (\sum x P(x))^2 }[/tex]
Here [tex]x^2 = 1^2 \ \ 2^2 \ \ 3 ^2 \ \ 4^2[/tex]
=> [tex]x^2 = 1 \ \ 4 \ \ 9\ 16 \[/tex]
[tex]\sum x^2 * P(x) = (1 * 0.2) + (4 * 0.2 ) + (9 * 0.2 ) + (16 * 0.2 )[/tex]
[tex]\sum x^2 * P(x) = 9.4[/tex]
[tex]\sum x P(x) = (1 *0.2) + (2*0.2) + (3 * 0.2) + (4 * 0.2)[/tex]
[tex]\sum x P(x) = 2.8[/tex]
So
[tex]\sigma = \sqrt{ 9.2 - (2.8)^2 }[/tex]
[tex]\sigma = 1.17[/tex]
Fraction that less then 5/6 dominater is 8
Answer:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
Step-by-step explanation:
If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6
5/6=0.8333
Multiple Answers
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
Find the interval in which f(x)=sinx−cosx is increasing or decreasing?
Answer:
There is no short answer.
Step-by-step explanation:
To find to intervals which f(x) increases or decreases, we first need to find it's derivative.
[tex]f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx[/tex]
The function is increasing when it's value is > 0 and decreasing when it's value is < 0.
If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.
I hope this answer helps.
what is the answer?
Answer/Step-by-step explanation:
Given:
Data set for sandwich calories=> 242, 290, 290, 280, 390, 350
Mean: the mean is given as sum of all values in the data set ÷ total no. of data set given
[tex] \frac{242 + 290 + 290 + 280 + 390 + 350}{6} = \frac{1,842}{6} = 307 [/tex]
Mean Absolute Value:
Step 1: find the absolute value of the difference between each value and the mean
|242 - 307| = 65
|290 - 307| = 17
|290 - 307| = 17
|280 - 307| = 27
|390 - 307| = 83
|350 - 307| = 43
Step 2: find the sum of all values gotten in step 1
65 + 17 + 17 + 27 + 83 + 43 = 252
Step 3: divide the result you get in step 2 by 6 to get the M.A.D
[tex] M.A.D = \frac{252}{6} = 42 [/tex]
The Mean Absolute Value represents or gives us an idea how spread the data set for the number of sandwich calories are.
Thus, averagely, the number of calories of sandwich at the restaurant are far from the mean caloric value by 42 calories.
Which of these pairs of functions are inverse functions?
Answer:
see below
Step-by-step explanation:
You can attack this several ways. One is to work through f(g(x)) in each case and see if the result is x.
Another is to use a graphing calculator to evaluate y=f(g(x)) to see if the result is the line y=x.
Yet another way to work this is to pick a convenient value for x and evaluate f(g(x)) or g(f(x)). Here, we'll show this last case.
A: f(1) = 2^0 +1 = 2; g(2) = log2(2-1) -1 = -1 . . . . g(f(1)) = -1, not 1 ⇒ not inverses
B: f(2) = 1/2(ln(1) -1) = -1/2; g(-1/2) = 2e^(0) = 2 . . . g(f(2)) = 2 ⇒ inverses
C: f(e) = 4ln(e^2)/e^2 = 8/e^2; g(8/e^2) = e^1 = e . . . g(f(e)) = e ⇒ inverses
D: f(10) = 10^0-10 = -9; g(-9) = log(1) -10 = -10 . . . g(f(10)) = -10, not 10
⇒ not inverses
_____
The second and third pairs of functions are inverses.
Find the sum of a finite geometric series. A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance down the ball has traveled when it hits the ground the fifth time is meters.
Answer:
19.375 m.
Step-by-step explanation:
Before the first bounce it has travelled 10 meters.
Then after just hitting the ground the second time it has travelled 10 +1/2(10) = 15 m.
The common ratio is 0.5 and we want the sum of 5 terms
= a1 (1 - r^n) / (1 - r)
= 10 * (1 - 0.5^5) / (1 - 0.5)
= 19.375 m.
How to solve 5(10 - 1) using order of operation
Answer:
45
Step-by-step explanation:
Answer: 45
Step-by-step explanation: Parentheses first.
10-1=9. Next is multiplication. 5(9)=45.
The area of a rectangular piece of land J is 220 square metres.Its width is 12.5.what is the perimeter of the land ?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {60.2 \: m}}}}}}[/tex]
Step-by-step explanation:
Given,
Area of rectangular piece of land ( l ) = 220 m²
Width ( w ) = 12.5 m
Finding length of the rectangular piece of land
[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]
plug the values
⇒[tex] \sf{220 = l \times 12.5}[/tex]
Swap the sides of the equation
⇒[tex] \sf{12.5 \: l = 220}[/tex]
Divide both sides of the equation by 12.5
⇒[tex] \sf{ \frac{12.5 \: l}{12.5} = \frac{220}{12.5} }[/tex]
Calculate
⇒[tex] \sf{l = 17.6 \: m}[/tex]
Length of rectangular piece of land ( l )= 17.6 m
Finding perimeter of rectangular piece of land
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + b)}}[/tex]
plug the values of length and breadth
⇒[tex] \sf{2(17.6 + 12.5) }[/tex]
Add the numbers
⇒[tex] \sf{2 \times 30.1}[/tex]
Multiply the numbers
⇒[tex] \sf{60.2 \: m}[/tex]
Therefore, Perimeter of rectangular piece of land is 60.2 m
Hope I helped!
Best regards!!
solve for y:y= [-7-6]
answers:
(a)-13 (b)13 (c)1 (d) -1 (e) none of these
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]y= [-7-6][/tex]
[tex]y = -13[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Solve for x 5x2-4x=6
Answer:
That would equal 36
Step-by-step explanation:
i added them up
Change $35,000 per year to dollars per hours
find the length of segment AB
Answer:
AB = 10.77 units
Step-by-step explanation:
If the extreme ends of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex].
Then the length of the segment joining these extreme ends will be,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).
Measure of AB = [tex]\sqrt{(7+3)^2+(5-1)^2}[/tex]
AB = [tex]\sqrt{100+16}[/tex]
AB = [tex]\sqrt{116}[/tex]
AB = 10.77 units
Therefore, length of the segment AB will be 10.77 units.
Simplify nine to the second power
Answer:
It would be 81
Step-by-step explanation:
[tex]9^{2}[/tex] is the same as 9 times 9. And 9 times 9 is 81.
Answer:
2⁹ = 512
Step-by-step explanation:
2⁹ = 2*2*2*2*2*2*2*2*2 = 512
Enter the correct value so that each expression is a perfect square trinomial
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). [tex]x^{2}+\frac{1}{2}x+a^2[/tex]
[tex]x^{2}+2(\frac{1}{4})x+a^2[/tex]
To make this expression a perfect square,
a² = [tex](\frac{1}{4})^2[/tex]
[tex]x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2[/tex] = [tex](x+\frac{1}{4})^2[/tex]
Therefore, the missing number will be [tex]\frac{1}{16}[/tex].
Answer:
it's 1/16 you're welcome!
Step-by-step explanation:
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.
Answer:
Slope= -4/3
Step-by-step explanation:
The points are (−3,−3) and (-9, 5)
Slope= gradient between the two points
Slope= (y2-y1)/(x2-x1)
Where y2= 5
Y1= -3
X2= -9
X1= -3
Slope= (y2-y1)/(x2-x1)
Slope= (5-(-3))/(-9-(-3))
Slope= (5+3)/(-9+3)
Slope= 8/-6
Slope= -4/3
Evaluate the triple integral ∭ 8x^2 dV, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)
Answer:
2/15
Step-by-step explanation:
given that the triple integral = ∫∫∫ 8x^2 dv
and T is the solid tetrahedron with vertices : (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)
hence the equation of the plane: x + y + z = 1
T [ (X,Y,Z) : 0≤x≤1, 0≤y≤1-x, 0≤z≤1-x-y ]
attached below is the detailed solution ( we multiply our answer after evaluation with the coefficient of 8 as attached to the initial expresssion)
By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.
Given :
The triple integral ∭ 8x^2 dV, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1).
The following calculation can be used to evaluate the triple integral:
[tex]\rm I = \int\int\int 8x^2dV[/tex]
T[(x,y,z) : [tex]0 \leq x \leq 1[/tex] ; [tex]0 \leq y \leq 1-x[/tex] ; [tex]0 \leq z \leq 1-x-y[/tex] ]
Now put the limits in the above integral.
[tex]\rm I = \int\limits^1_0\int\limits^{1-x}_0\int\limits^{1-x-y}_0 {8x^2} \, dz \, dy \, dx[/tex]
[tex]\rm I = \int\limits^1_0\int\limits^{1-x}_0 {8x^2} (1-x-y) \, dy \, dx[/tex]
[tex]\rm I = 8 \int\limits^1_0\int\limits^{1-x}_0 {x^2-x^3-x^2y} \, dy \, dx[/tex]
[tex]\rm I = 8 \int\limits^1_0 {x^2(1-x)-x^3(1-x)-x^2\dfrac{(1-x)^2}{2}} \, dx[/tex]
[tex]\rm I = 8 \int\limits^1_0 {x^2-x^3-x^3+x^4-x^2\dfrac{(1+x^2-2x)}{2}} \, dx[/tex]
[tex]\rm I = 4\left( \int\limits^1_0 {2x^2-4x^3+2x^4-x^2-x^4+2x^3} \, dx\right)[/tex]
[tex]\rm I = 4\left( \int\limits^1_0 {x^2+x^4-2x^3} \, dx\right)[/tex]
[tex]\rm I = 4\left( {\dfrac{x^3}{3}+\dfrac{x^5}{5}-\dfrac{x^4}{2}} \right)^1_0[/tex]
[tex]\rm I = 4\left( {\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{2}} \right)[/tex]
[tex]\rm I = \dfrac{2}{15}[/tex]
By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.
For more information, refer to the link given below:
https://brainly.com/question/24308099
If 512+14=x then x=23 Question 10 options: True False