Answer:
a) 15.866%
b) 0.68268
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
We solve the above question using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 76
σ is the population standard deviation = 10
a) What percent of the scores were below 66?
x < 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x<66) = 0.15866
Converting to Percentage =
0.15866 × 100
= 15.866%
b) What is the probability that a student earned a score between 66 and 86?
For x = 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x≤ 66) = 0.15866
x = 66 = 0.15866
For x = 86
Hence,
z = 86 - 76/10
z = 1
Probability value from Z-Table:
P(x≤ 86) = 0.15866
x = 66 = 0.15866
Probability value from Z-Table:
P(x = 86) = 0.84134
The probability that a student earned a score between 66 and 86 is calculated as:
P(x = 86) - P(x = 76)
= 0.84134 - 0.15866
= 0.68268
Marcus is rolling a number cube with sides labelled 1 to 6 .find the probability it will show 10
Answer:
Probability of getting number 10 = 0
Step-by-step explanation:
Given;
Total sides of cube die = 6
Find:
Probability of getting number 10
Computation:
Total number of cube = 1, 2, 3, 4, 5, 6
Favorable outcome for 10 = 0
Probability of an event = Favorable outcome / Number of outcomes
Probability of getting number 10 = 0 / 6
Probability of getting number 10 = 0
What is the volume of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface: 75.36 ft2 height of cylinder: 3 ft 128.6 ft 3 226.08 ft 3 150.72 ft 3 175.84 ft 3
100 points bad answers will get banned and reported
Answer:
150.72 ft³Step-by-step explanation:
Given:
Area of the base :
B = 50.24 ft²Height of cylinder:
h = 3 ftThe volume is:
V = BhV = 50.24*3 = 150.72 ft³Answer:
150. 72 ft³.#CarryOnLearningFind the median of this data set: 4, 9, 1, 3, 7, 1
The median is 3.5
Hope this helped
(*^▽^*)
Your classmate showed their thought process to the problem below. However, They made a mistake. What mistake did they make? Describe it below
Answer:
It's not 5x + 100 = 180,
it's 5x = 180 because they are vertical angles.
x = 36
Can someone pls help me find the correct answers pls and thank you!
Answer:
IJ
Step-by-step explanation:
BH and AG = 1/2 diameter of the circle therefore are radii
IJ is not 1/2 the diameter of the circle so it's not a radius.
Figure ABCD is a kite. Find the value of x.
BC = 2x - 5
DC = x+3
Here's the solution,
the given figure is a kite,
So, BC = DC
=》
[tex]2x - 5 = x + 3[/tex]
=》
[tex]2x - x = 3 + 5[/tex]
=》
[tex]x = 8[/tex]
value of x = 8
Which job here requires the least amount of training and education
A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant
Answer:
Cashier
Step-by-step explanation:
An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.
Answer:
C. Cashier
Step-by-step explanation:
Retail cashiers require no formal training.
To be an elementary teacher, you must have at least a Bachelor's degree.
To be a college professor, you must have at least a Master's degree.
To be an accountant, you must have at least a Bachelor's degree.
The population density of a city is 1,148 persons per square mile.
If 40,173 people live in the city, what is the approximate land area of the city?
А.
6 square miles
B.
35 square miles
C.
70 square miles
D.
1,225 square miles
Answer:
B. 35 Square Miles
Step-by-step explanation:
One of the legs of a right triangle measures 8 cm and the other leg measures 12 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer: 14.4
Step-by-step explanation:
8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.
Answer:
3077.68
Step-by-step explanation:
the Area of the regular decagon is 3077.68
The area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -
V = ∫∫F(x, y) dx dy
Given is a regular decagon with length of each side is 20 units
The area of the regular decagon is -
A = (5/2)a²√(5 + 2√5)
We have {a} = 20. So, we can write that -
A = (5/2)(20)²√(5 + 2√5)
A = (5/2) x 400 x √(5 + 2√5)
A = 5 x 200 x √(5 + 2√5)
A = 1000√(5 + 2√5)
Therefore, the area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
To solve more questions on areas, visit the link-
https://brainly.com/question/29213222
#SPJ2
What is the gravitational potential energy of a 2.5 kg object that is 300 m above the surface of the earth
Answer:
7350 JStep-by-step explanation:
The gravitational potential energy of a body can be found by using the formula
GPE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
GPE = 2.5 × 9.8 × 300
We have the final answer as
7350 JHope this helps you
Which statement identifies how to show that j(x) = 11.6ex and k(x) = In (StartFraction x Over 11.6 EndFraction) are inverse functions?
Answer:
The answer is "It must be shown that both [tex]j(k(x))\ and \ k(j(x))=x[/tex]"
Step-by-step explanation:
Given:
[tex]j(x) = 11.6 e^{x} \\\\k(x) =\ln\frac{x}{11.6}[/tex]
To show that both are equal functions, and show that both[tex]j(k(x))\ and\ k(j(x)) =x,[/tex]
For [tex]j(k(x));[/tex]
[tex]j(k(x)) = j[(\ln \frac{x}{11.6})]\\\\j[(\ln (\frac{x}{11.6})] = 11.6e^{\ln (\frac{x}{11.6})}\\\\j[(\ln \frac{x}{11.6})] = 11.6(\frac{x}{11.6})\\\\[/tex](The natural logarithm is canceled by exponential function)
[tex]j[(\ln \frac{x}{11.6})] = 11.6 \times\frac{x}{11.6}\\\\j[(\ln \frac{x}{11.6})] = x\\\\j[k(x)] = x\\\\for\ \ k[j(x)]:\\\\k[j(x)] = k[11.6e^x]\\\\k[11.6e^x] = \ln (\frac{11.6e^x}{11.6})\\\\k[11.6e^x] = \ln(e^x)[/tex]
Its natural logarithm leaving x will nullify expanding universe.
[tex]k[11.6e^x] = x\\\\k[j(x)] = x[/tex]
In the question, it is seen that[tex]j[k(x)] = k[j(x)] = x[/tex], shows that the functions [tex]j(x) = 11.6 e^{x} \ and \ k(x) = \ln \frac{x}{11.6}[/tex] is inverse functions.
Answer:
C
Step-by-step explanation:
Ed2021
Jordan sold his used lawn tractor and accessories for $980. If he received nine times as much money for the lawn tractor as he did for the accessories, find how much money he received for the lawn tractor
Answer: [tex]\$882[/tex]
Step-by-step explanation:
Given
Jordan sold lawn tractor and accessories for [tex]\$980[/tex]
he receives 9 times more money for a tractor than for accessories
Suppose, he receives x amount for accessories
So, for tractor it is [tex]9x[/tex]
total amount is
[tex]\Rightarrow 9x+x=980\\\Rightarrow 10x=980\\\Rightarrow x=\$98[/tex]
He receives [tex]9x=\$882[/tex] for tractor
CAN SOMEONE PLEASE HELP ME!!!
!!!
Plsss helppp ASAP
Extra 500 point
And brainliest
Answer:
500 pts :DDDD
Step-by-step explanation:
1 ) y = mx + b
hmmm 2 is wrong
2) y = -a[tex]x^{2}[/tex]+bx+c
I'm unsure about 3 also hmm
3) y = a[tex]x^{y}[/tex]
A circle has an area of 144n cm^2 Find the circumference
Answer:
Circumfrence=:42.53889
Step-by-step explanation:
x^2+2x+9=(x+1)^2+n What is n?
Answer:
I believe that the answer is 'n=8'.
calculate the volume of the prism by first finding the total number of half unit cubes that will fill it.There are 8 half unit cubes in every unit cube pls help guys this is my exam
Answer:
I think its C
Step-by-step explanation:
what is equivalent (2 - 6) cubed
Answer:
solution given:
equivalent (2 - 6) cubed=(-4)³=-64
What is the equation of the trend line in the scatter plot?
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
Answer:
y = 7/5x - 21/5
Step-by-step explanation:
points to use to find slope: (3,0) and (8,7)
slope = 7-0 / 8-3
slope = 7/5
find y-intercept (or 'b')
0 = 3(7/5) + b
0 = 21/5 + b
-21/5 = b
b = -4 1/5
Arjun's family is traveling in a car at a constant speed of `65` miles per hour. How far do they travel in `25` minutes?
Answer:
can you say me which chapter question is this
Answer:
Step-by-step explanation:
1. it takes 3.1 hours
2.27.08 miles is how far they travel in 25 minutes
please give me a brainliest, i worked pretty hard to find these out, if you need a explanation, i will add it
I have to factor polynomials by grouping
The question is: 6f^3 - 8f^2 + 20 - 15f
The answer is supposed to be; (2f^2 - 5)(3f - 4)
Pls show your work
Answer:
Step-by-step explanation:
Factor 6f3−8f2+20−15f
6f^3−8f^3−15f
=(3f−4)(2f2−5)
Answer:
(3f−4)(2f^2−5)
Find the group you want to factor, such as in the first parenthesis, you remove 3f from the whole equation, and end up with 3f-4. You take the end value, and group it with -5. You will then end up with 2f^2 -5.
Hope this Helps!
To determine a student’s overall test score for the semester, Ms. Lopez throws out the lowest test score and takes the average of the remaining test scores. Victor earned the following test scores in Ms. Lopez’s class this semester: 62, 78, 83, 84, and 93. What overall test score did Victor earn in Ms. Lopez’s class this semester?
67.6
67.6
80.0
80.0
83.0
83.0
83.5
83.5
84.5
Answer:
80%
Step-by-step explanation:
I'm assuming you want the average of the class.
62 + 78 + 83 + 84 + 93
= 400
400/5
= 80
Therefore Victor's overall test score is 80%
simplify 3/x-1 + 1/x-2
Answer:
4-3x over x or 4-3x/x
I'm not sure. but I hope it can help you:))
AJ borrowed $4,000 for 5 years at 6% simple interest rate. How much interest did he pay?
Answer:
800 dollars
Step-by-step explanation:
the answer is 5286 i think hope this helps
Answer:
We can’t see the question
Step-by-step explanation:
we need a question to solve for the question
2.
2.
Which of the following functions would give the population Plt) as a function
of t, in years, given that the initial population is 2,500 and that the population
is growing at an annual rate of 4%?
(1) P(t)=2500(0.96)
(3) P(t)=2,500(1.04)
(2) P(t)=(1.04) +2,500
(4) P(t)= 1.04t +2,500
Answer:
[tex]P(t)=2500(1.04)^t[/tex]
Step-by-step explanation:
None of your proposed answers has an exponent t.
Here's the logic behind the answer:
Year 0: pop. = 2500
Year 1: pop. = 2500(1.04) That is 104% of the previous year's pop.
Year 2: pop. = 2500(1.04)(1.04) = 2500(1.04)^2
Year 3: pop. = 2500(1.04)^2 x (1.04) = 2500(1.04)^3
See the pattern? The exponent matches the year number.
Please help solve ASAP!! <3
Answer: The answer is 280 ft.
Step-by-step explanation:
divide the green area into a triangle and a rectangle so it's easier to calculate. Then find the area of the rectangle by multiplying 14 times 16. That should get you 224. Then, find the area of the tringle by multiplying 14 times 18, times 1/2. That will get you 56. If you add 56 to 224, that gets you 280.
9/2 - 23/9=? plss help
Answer:
35/ 18
(Decimal: 1.944444)
Step-by-step explanation:
Answer
Step-by-step explanation:35/18
Answer these questions but show your work for them!
1. 5+4(3)
2. 2-(3+ -4)
3. 24/6 -2^3 +2(-3)
4. 3+2(5^2-5 x 4)
5. 3+2(5^2 - 5 x 4)
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