A class is given an exam. The distribution of the scores is normal. The mean score is 76 and the standard deviation is 11. Determine the test score, c c , such that the probability of a student having a score greater than c c is 36 % 36% . P ( x > c )
Answer: required value of c = 79.94.
Step-by-step explanation:
Let x denotes the exam score.
Given: The mean score is 76 and the standard deviation is 11.
to detrmine c , such that the probability of a student having a score greater than c is 36 %.
or P(x>c)=0.36
Using z-score table , we get
z= 0.3584 [z-value corresponds to p-value of 0.36(one-tailed) is 0.3584]
Formula for z:
[tex]z=\dfrac{x-mean}{standard\ deviation}\\\\ 0.3584=\dfrac{c-76}{11}\\\\ c=0.3584\times11+76\\\\ c=76+3.9424\\\\ c\approx 79.94[/tex]
hence, required value of c = 79.94.
A motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that
contains 2 gallons of oil. Which will he need to fill the bottles?
Answer:
The motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.
Step-by-step explanation:
Since a motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil, to determine which will need to fill the bottles, the following calculation must be performed:
Quart to gallon = 4: 1
1/4 x 60 = X
60/4 = X
15 = X
Therefore, the motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.
a)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
cement company earns a profit of ₹ 10 per bag of white cement and a loss of ₹ 5 per
bag of grey cement. The company sells 325 bags of white cement and 500 bags of
grey cement. What is its profit or loss?
Answer:
750 profit
Step-by-step explanation:
Given :
Profit of 10 on white cement
Loss of 5 on Grey cement
Number of white cement sold = 325 bags
Number of Grey cement sold = 500 bags
Total profit made on sale of white cement :
10 * 325 = 3250
Loss made on sale of Grey cement :
5 * 500 = 2500
Total profit or loss :
3250 - 2500
= 750
Profit value is greater than. Loss value (hence, total profit of 750 was made).
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
===============================================================
Explanation:
The two angles that involve x are alternate interior angles.
Due to the parallel lines, the alternate interior angles are equal.
We'll use this to solve for x
-7x-18 = -9x-46
-7x+9x = -46+18
2x = -28
x = -28/2
x = -14
Let's check the answer by evaluating each expression as shown below
-7x-18 = -7*(-14)-18 = 80-9x-46 = -9*(-14)-46 = 80Both angles are 80 degrees each, so it confirms we have the correct x value.
-----------------------
We have one last step. We found the -9x-46 angle to be 80 degrees. Angle 4 is adjacent to this and supplementary.
So we subtract from 180 to get the answer
180-80 = 100
What is 6 divided by 3/8
Answer:
16 (sixteen) is 6 divided by 3/8.
Practice: Write and Evaluate Expressions - Practice --- Level
Which answer matches this description?
half of the difference of 25 and 7
* * (25 – 7)
3+ (25 – 7)
3 - (25 + 7)
* * (25+7)
The ratio between boys and girls in a class is 3 : 1. Find the number of boys in the class is the total number of students is 40.
Answer: 30 boys
Step-by-step explanation:
Boys:Girls
3 : 1
Let no. of girls =x
⇒ no. of boys =3x.
⇒ no. of students in class =4x
= 4/3×3x
= 4 /3 ×no. of boys
40=4/3* no.of boys
40* (3/4)=no.of boys
30=no of boys
b) La base de un
Es 3cm mas.
que la altura
Si el aria del triangulo es 35 cm2 ¿cuáles son las medidas de la base y lo oltura del triangulo?
Answer: The height of the triangle is 23.3 cm
Step-by-step explanation:
To calculate the area of a triangle, we use the equation:
[tex]Area=\frac{1}{2}\times b\times h[/tex]
where,
b = base of the triangle = 3 cm
h = height of the triangle = ?
Area of the triangle = [tex]35cm^2[/tex]
Putting values in above equation, we get:
[tex]35cm^2=\frac{1}{2}\times 3cm\times h\\\\h=\frac{2\times 35}{1\times 3}=23.3cm[/tex]
Hence, the height of the triangle is 23.3 cm
Use the drawing tools to form the correct answer on the graph. Graph this function. - 2 + 8 = Reset ® Delet Undo Drawing Tools Click on a tool to begin drawing. Select Point 10 Line 8 3 6- 4 2 2 4 6 -2 8 10 -4 -10 -8 -6 -2 7071 Frmentum. All rights reserved.
Answer:
we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm
The graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8
The function is given as:
[tex]f(x) = -2x + 8[/tex]
The above function is a linear function.
A linear function is represented as:
[tex]y =mx + c[/tex]
Where:
m represents the slope, and c represents the y-intercept.
So, by comparison;
[tex]m =-2[/tex]
[tex]c = 8[/tex]
This means that the graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8
See attachment for the graph of the function
Read more about linear functions at:
https://brainly.com/question/15602982
Khanacademy Unit: Sequences
Which one of them is right?
Answer:
D
none
Step-by-step explanation:
-3,-14,-25,-36
a=-3
d=(-14-(-3))=-14+3=-11
[tex]g_{n}=a+(n-1)d\\g_{n}=-3+(n-1)(-11)\\g_{n}=-3-11n+11\\g_{n}=8-11n[/tex]
so none of them is correct.
g(1)=8-11(1)=-3
which is correct.
please solve fast please
Answer:
3/6 =1/25/6pls give me brainliest plzzzzz
solve for x 6(x-3)=8(x-4)
Answer:
7=x
Step-by-step explanation:
6(x-3)=8(x-4)
Distribute
6x -18 = 8x-32
Subtract 6x from each side
6x-18 -6x = 8x-32-8x
-18 = 2x-32
Add 32 to each side
-18+32 = 2x-32+32
14 = 2x
Divide by 2
14/2 =2x/2
7=x
[tex]\sf\purple{x= 7}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]➺\:6(x - 3) = 8(x - 4)[/tex]
[tex]➺ \: 6x - 18 = 8x - 32[/tex]
[tex]➺ \: 6x - 8x = - 32 + 18[/tex]
[tex]➺ \: - 2x = - 14[/tex]
[tex]➺ \: x = \frac{ - 14}{ - 2} [/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the value of [tex]x[/tex] is 7.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: 6(x - 3) = 8(x - 4)[/tex]
[tex]➺ \: 6(7 - 3) = 8(7 - 4)[/tex]
[tex]➺ \: 6 \times 4 = 8 \times 3[/tex]
[tex]➺ \: 24 = 24[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Thể tích của khối cầu có bán kính 3a bằng
Answer:
[tex]36\pi {a}^{3} [/tex]
Step-by-step explanation:
Volume = [tex] \frac{4}{3} \times \pi \times (r)^{3} [/tex]
[tex] \frac{4}{3} \times \pi \times {3a}^{3} [/tex]
[tex] \frac{4\pi}{3} \times {3}^{3} [/tex]
[tex] \frac{4\pi}{3} \times 27[/tex]
[tex] \frac{4\pi}{3} \times (3(9))[/tex]
[tex]4\pi \times 9[/tex]
[tex]36\pi {a}^{3} [/tex]
Hope it is helpful...A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+2t^0.5, where t is the time in seconds and S(t) is the distance in feet from the top of the building. Step 1 of 3 : If the coin hit the ground in exactly 1.8 seconds, how high is the building? Round your answer to 2 decimal places.
Answer:
The height of the building is of 48.24 feet.
Step-by-step explanation:
Height after t seconds:
The height after t seconds of the coin is given by:
[tex]S(t) = -16t^2 + 2t + h[/tex]
In which h is the height of the building.
If the coin hit the ground in exactly 1.8 seconds, how high is the building?
This means that when [tex]t = 1.8, S(t) = 0[/tex]. We use this to find h.
[tex]S(t) = -16t^2 + 2t + h[/tex]
[tex]h = 16t^2 - 2t[/tex]
[tex]h = 16(1.8)^2 - 2(1.8)[/tex]
[tex]h = 48.24[/tex]
The height of the building is of 48.24 feet.
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Shari drew several lines. Which lines are perpendicular to AC ?
Select all that apply.
The club will use the plurality criterion without elimination method to determine the final winner. Parker wins the contest by receiving 56 votes. However, while finalizing the votes, a member of the club discovers that Myers did not meet the original criteria to be considered for the tickets, so Myers is eliminated from the votes. Who actually will win the tickets? Is the irrelevant alternative criterion violated in this case?
Answer:
No
Explanation:
The independent irrelevant alternative criterion is not violated here. The law of irrelevant alternative criterion holds that if candidate A is liked more than candidate B then a new candidate C who is liked less than candidate A should not spoil the victory of Candidate A, so that candidate B wins.
In the example in the question, candidate Parker was the preferred candidate before the elimination of candidate Myers and so will still be the winner of the election, therefore the irrelevant alternative criterion has not been violated.
Calculus chapter7 (Transcendental Functions)
Answer:
1) [tex]\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } \approx 1.665[/tex]
2) [tex]\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}[/tex]
3) [tex]\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } \approx 1.317[/tex]
Step-by-step explanation:
1) [tex]\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} }[/tex]
This integral can be solved easily by using algebraic substitutions:
[tex]u = \ln x[/tex], [tex]du = \frac{dx}{x}[/tex]
Then, the integral can rewritten as follows:
[tex]\int {\frac{dx}{2\cdot x\cdot \sqrt{\ln x}} } = \frac{1}{2}\int {\frac{du}{u^{1/2}} } = \frac{1}{2}\int {u^{-1/2}} \, du[/tex]
[tex]\int {u^{-1/2}} \, du = 2\cdot u^{1/2} + C = 2\cdot \sqrt{\ln x} + C[/tex]
Where [tex]C[/tex] is the integration constant.
[tex]\int\limits^{16}_{2} {\frac{dx}{2\cdot x \cdot \sqrt{\ln x}} } = F(16) - F(2)[/tex]
[tex]F(16) - F(2) = 2\cdot (\sqrt{\ln 16}-\sqrt{\ln 2})[/tex]
[tex]F(16) - F(2) \approx 1.665[/tex]
2) Let be [tex]y = \cosh^{-1} (2\cdot \sqrt{x+1})[/tex], then we obtain the expression by the definition of the derivative for the inverse hyperbolic cosine and the chain rule:
[tex]\frac{dy}{dx} = \pm\frac{1}{\sqrt{4\cdot x + 3}}\cdot \left(\frac{1}{\sqrt{x+1}} \right)[/tex]
[tex]\frac{dy}{dx} = \pm \frac{1}{\sqrt{(4\cdot x + 3)\cdot (x+1)}}[/tex]
[tex]\frac{dy}{dx} = \pm \frac{1}{\sqrt{4\cdot x^{2}+7\cdot x +3}}[/tex]
3) [tex]\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} }[/tex]
This integral can be solved by the following trigonometric substitutions:
[tex]\frac{2}{\sqrt{4 + x^{2}}} = \cos \theta[/tex]
[tex]\frac{1}{\sqrt{4+x^{2}}} = \frac{\cos \theta}{2}[/tex]
[tex]\frac{x}{2} = \tan \theta[/tex]
[tex]x = 2\cdot \tan \theta[/tex]
[tex]dx = 2\cdot \sec^{2}\theta \,d \theta[/tex]
[tex]\int {\frac{dx}{\sqrt{4+x^{2}}} } = \int {\left(\frac{\cos \theta}{2} \right)\cdot (2\cdot \sec^{2}\theta)} \, d\theta = \int {\sec \theta} \, d\theta[/tex]
[tex]\int {\sec \theta}\,d\theta = \ln |\sec \theta + \tan \theta| + C[/tex]
[tex]\ln \left|\frac{\sqrt{4+x^{2}}}{2} + \frac{x}{2} \right| + C[/tex]
Where [tex]C[/tex] is the integration constant.
[tex]\int\limits^{2\sqrt{3}}_{0} {\frac{dx}{\sqrt{4 + x^{2}}} } = F(2\sqrt{3}) - F(0)[/tex]
[tex]F(2\sqrt{3}) - F(0) = \ln \left|2+\sqrt{3}\right|-\ln \left|1\right|[/tex]
[tex]F(2\sqrt{3}) - F(0) \approx 1.317[/tex]
The Home Cleaning Company charges $312 to power-wash the siding of a house plus
$12 for each window. Power Clean charges $36 per window, and the price includes
power-washing the siding. How many windows must a house have to make the total
cost from The Home Cleaning Company less expensive than Power Clean?
Answer:
14
Step-by-step explanation:
take 312 + 12×14 then take 36×14
A flat rectangular piece of aluminum has a perimeter of 60 inches. The
length is 14 inches longer than the width. Find the width.
Answer:
8 inches
Step-by-step explanation:
Let w represent the width.
If the length is 14 inches longer than the width, it can be represented by w + 14.
Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:
p = 2l + 2w
60 = 2(w + 14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
8 = w
So, the width is 8 inches
How many natural numbers are there between 8² and 9² ?
Answer:
19
Step-by-step explanation:
Answer:
i think the answer 17
81-64 =17A group of high school seniors were surveyed on their interests. Of those surveyed, 16 students said they enjoy reading, and 14 said they enjoyed writing. What additional information would you need to know in order to determine how many students said they enjoy both reading and writing?
a) The number of students who enjoy reading only.
b) The number of students who enjoy writing only.
c) The number of students who don't enjoy neither reading nor writing.
d) The number of students said they enjoy either reading or writing.
Answer:
a) The number of students who enjoy reading only.
Answer:
d
Step-by-step explanation
let me know if this is right please
please tell me quickly I have no time right now
Answer:
f(x) =3 (5) ^x +5
Step-by-step explanation:
f(x) = g(x) +5
We know g(x) = 3 (5) ^x
Substitute this into f(x)
f(x) =3 (5) ^x +5
Answer:
[tex] \small \sf \: f(x) = 3(5) {}^{x} + 5[/tex]
[tex] \small \sf \mapsto \: f(x) = 3(5) {}^{x} \: + 5[/tex]
Where, we have given
[tex] \small \sf \mapsto \: g(x) = 3(5) {}^{x} [/tex]
put the value of g ( x )
[tex] \small \sf \mapsto \: f(x) = 3(5) {}^{x} + 5[/tex]
A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?
Null hypothesis: [tex]p = 0.81[/tex]
Alternative hypothesis: [tex]p \ne 0.81[/tex]
The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.
If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81
If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81
However, she wants to know if the percentage is 81%.
If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative and if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A recent study suggested that 81% of senior citizens take at least one prescription medication.
Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital.
She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication.
The null and alternative hypotheses for this hypothesis test will be
Null hypotheses
p = 0.81
Alternative hypotheses
p ≠ 81
According to a recent study, 81 percent of the population (in this case elderly folks) uses at least one drug. The alternate hypothesis is essentially the inverse of the null hypothesis.
If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative.
If Amelia needed to know if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
es urjente
Identifica los elementos de una ecuación
18 – 3x = 14x + 1 b) y – 5y + 16 = 0 c) 6m – m + 8 = 9m
Primer Miembro
Segundo Miembro
Incógnita
Coeficiente
Términos independientes
Answer:
Espera espera espera.......
primer miembro es el independiente
incógnitas es la letra literal x b y c m
coeficiente es el resultado de la división
terminos independientes son aquellos los que no tienen cualquier letra 18 16 8
Step-by-step explanation:
espero que ayude
sketch a graph of f(x) = 2 + x
Answer:
i don't have any paper by me but it would be the line starting on 2 on the Y axis (line that goes up and down) and then going diagonal by one square (essentially up one unit and right one unit)
Step-by-step explanation:
2+x is basically x+2
since x is by itself in slope form is represents 1/1 as a fraction, and in slope form 2 represents the Y axis
did my best to explain sorry hope this helped!!
mark all statements that are true . help !
Answer:
C D E
Step-by-step explanation:
They are the options that are clear enough
Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $4 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for t hours?
Cost for 5 hours:
Cost for t hours:
Answer:
Cost = 11 + 4*t
Step-by-step explanation:
Cost = 11 + 4*t
Part A
t = 5 hours.
Cost = 11 + 4*5
Cost = 11 + 20
Cost = 31
Part B
time = t hours.
Cost = 11 + 4*t
for 5h he would need to pay $20 ( +$11 ) $31
i dont know what T is so ya :/
Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
Answer:
85⁰ and 95⁰
Step-by-step explanation:
Supplementary angle add up to 180⁰
8x-3+7x+18=180
8x+7x-3+18=180
15x+15=180
15x=180-15
15x=165
15x/15=165/15
x=165/15
x=11⁰
measure of first angle=8(11⁰)-3
=88⁰-3
=85⁰
measure of second angle=7(11⁰)+18
=77⁰+18
=95⁰
John buys 20 bunches of bananas for 5naira. He sells them for 6.50. what is his percentage profit?
Paula, Adam, and Jessica are siblings. Adam is half the age of Paula, and Jessica is one quarter of Paula's age. In six years' time, Jessica will be 75% of Adam's age.
a How old is each sibling now?
b How old will each sibling be in six years' time?
c In how many years' time will Jessica be 75% of Paula's age?
Step-by-step explanation:
answer is in photo above