Answers
Answer:
197 in^2
Step-by-step explanation:
Add the areas of each face:
2 trapezoid faces:
(5+9) ÷ 2 x 5 = 35
2(35) = 70 in^2
2 squares:
5 x 5 = 25
2(25) = 50 in^2
Rectangular base:
5 x 9 = 45 in^2
Area of slanted rectangle:
6.4 x 5 = 32 in^2
Add:
32 + 45 + 50 + 70 = 197
Related Questions
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 10 ounces. Use the Empirical Rule.
a. 99.7% of the widget weights lie between _____ and _____.
b. What percentage of the widget weights lie between 26 and 66 ounces?
c. What percentage of the widget weights lie above 34?
Answers
Answer:
The answer is below
Step-by-step explanation:
The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.
z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.
a) 99.7% falls within three standard deviations. Therefore:
99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)
Therefore 99.7% falls within 12 ounce and 72 ounce.
b) For x > 26
[tex]z=\frac{26-42}{10}=-1.6\\[/tex]
For x < 66
[tex]z=\frac{66-42}{10}=2.4\\[/tex]
From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%
c) For x > 34
[tex]z=\frac{34-42}{10}=-0.8\\[/tex]
From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%
Answer:
Step-by-step explanation:
Given that:
Mean [tex]\mu[/tex] = 42
standard deviation [tex]\sigma[/tex] = 10
Using Empirical Rule:
[tex]\mu[/tex] - [tex]\sigma[/tex] = 42 - 10 = 32 [tex]\mu[/tex] + [tex]\sigma[/tex] = 42 + 10 = 52
[tex]\mu[/tex] - 2[tex]\sigma[/tex] = 42 - 2(10) = 22 [tex]\mu[/tex] + 2[tex]\sigma[/tex] = 42 + 2(10) = 62
[tex]\mu[/tex] - 3[tex]\sigma[/tex] = 42 - 3(10) = 12 [tex]\mu[/tex] + 3[tex]\sigma[/tex] = 42 + 3(10) = 72
The curve is attached in the image below.
a). the widget of 99.7% lies between 12 and 72
b) 68 + 13.5 = 81.5%
c) 50 + 34 = 84%
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Task #3 Mariam’s Job
Date Completed:
Mariam makes $50 a week.
a) Show this relationship in a graph below.
b) What is the unit rate of the line in the equation?
c) What is the connection between the unit rate and the amount of money Mariam makes per week?
d) Write the equation for this relationship.
e) Is this a proportional relationship? Justify your answer.
Answers
Answer:
a
Step-by-step explanation:
A custodian has 5 and 1/2 gallons of paint each of the book cases she is painting requires 1/2 gallon of paint how many book cases will the custodian be able to paint with that amount of paint A.3 B.4 C.11 D.15
Answers
Answer:
Option C.
Step-by-step explanation:
Factor this expression completely, then place the factors in the proper location on the grid. a2b2 - d2
Answers
Answer:
[tex]{ \tt{ {a}^{2} {b}^{2} - {d}^{2} }} \\ \\ = { \tt{( {ab})^{2} - {d}^{2} }} \\ = { \tt{(ab - d)(ab + d)}}[/tex]
Find X:
X + 25% x X = -1,25
Answers
Answer:
- 100
Step-by-step explanation:
OK open
The Pdf and look at the working
The distance between the complex numbers z1 = 7 – 2i and z2 = 3 - 3i is ________
Answers
Answer:
sqrt(17)
Step-by-step explanation:
the distance is
|(7-2i) - (3-3i)| = |4 + i|
remember, the absolute value of a complex number is
|a+bi| = sqrt(a²+b²)
in our case
sqrt(4² + 1²) = sqrt(16+1) = sqrt(17)
Find the domain of f/g f(x)= sqrt 4-x^2 g(x)= sqrt 3x+4
Answers
Answer:
(-4/3, 2]
Step-by-step explanation:
f(x)= sqrt (4-x^2)
g(x) = sqrt (3x+4)
domain of f(x)/ g(x)
The domain of the numerator is
4-x^2 ≥ 0
4 ≥x^2
Taking the square root of each side
-2 ≤x≤2
The domain of the denominator
3x+4 > 0 ( the denominator cannot be zero)
3x>-4
x > -4/3
Combine the restrictions to make it most restrictive
-4/3<x≤2
In interval notation
(-4/3, 2]
A man, 1.5m tall, is on top of a building. He observes a car on the road at an angle of 75°. If the building is 30m, how far is the car from the building?
Answers
find the value of x to the nearest tenth
a. -4.4
b. 7.5
c. 1.9
d. 3.5
Answers
Answer:
B
it is b because 7,5 is nearest
This is because to find x you can do the tangent of 62 and create the equation tan62=x/4
Next you need to multiply both sides by 4.
When you do this you get an answer of 7.5
806000 words typed in 12 hours how many words can type in 1 minute ?
Answers
Answer:It depends on how fast you write.
Step-by-step explanation:If you're a professional typist, you can probably type 75 words per minute, and maybe even more.
Answer:
1,119.44 wpm
Step-by-step explanation:
806,000 words in 12 hours; divide each value by 12 to get number of words per 60 minutes
17,166.67 word in 60 minutes; divide each value by 60 to get number of words per minute
1,119.44 words in 1 minute
The sum of two consecutive integers is -5. If 4
is subtracted from the smaller integer and 2 is
added to the larger integer, what is the quotient
when the larger of the two resulting numbers is
divided by the smaller number?
Please help me
Answers
Answer:
sim eu também preciso desta respota
Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.
Answers
Answer:
7x + 3y.
Step-by-step explanation:
7 pencils cost 7x cents and 3 erasures cost 3y cents.
Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP
Answers
Answer: 22
Step-by-step explanation: 2x2 + x -41= -15
* 4 + x -41= -15
* x -37= -15
* x= 22
• carry over -15
2 x 2 + x - 41 + 15 = 0
• solve 2 x 2
4 + x - 41 + 15 = 0
• rearrange
x + 4 - 41 + 15 = 0
• solve
x - 22 = 0
x = 22
hope this helped :)
Six numbers have a mean of 4.5 and five of the numbers are 4,3,4,6,1.
The other number is x.
Work out the value ofx.
Answers
Answer:
X = 9
Step-by-step explanation:
4 + 3 + 4 + 6 + 1 + x / 6 = 4.5
18 + x / 6 = 4.5
cross multiply
18 + x = 4.5 × 6
18 + x = 27
collect like terms
x = 27 - 18
x = 9
Which statement best describes the meaning of the term average waiting-
time?
Answers
Answer:
The average number of trials required to get the first success
What is it quadratic, radical, rational?
Answers
Answer:
quadratic formula is ur answer for letter B
Translate this phrase into an algebraic jahauahahshshshshshshshshshshhs
Answers
Answer:
Step-by-step explanation:
Jdshdcjecjjwdjwddhwedhwedwedwehwdhw?
i think?
circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰
Answers
Answer:
sin62 =0.883Step-by-step explanation:
0.883=1/0.836=1.133
The measure of ∠CAB is 31⁰.
Given that,
Circle O has diameter AB and chord AC.
We have to determine,
The measure of ∠CAB if BC is 62⁰.
According to the question,
The measurement of the required angle by using circle properties following all the steps given below.
The measure of the BC is 62 degrees.
If the circle has diameter AB and chord AC,
Then,
By the property of the circle,
[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]
Substitute the value of the BC in the equation,
[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]
Hence, The measure of ∠CAB is 31⁰.
For more details refer to the link given below.
https://brainly.com/question/1319201
A square + B square
Answers
Soln: Formula for a²+b² can be given by two types.
(i). a²+b² = (a+b)² - 2ab
= a²+2ab+b²-2ab
= a²+b²
=> LHS = RHS
Therefore, hence proved!
(ii). a²+b² = (a-b)² + 2ab
= a²-2ab+b²+2ab
=> LHS = RHS
Therefore, hence proved!
Hence, a²+b² = (a+b)² - 2ab
'OR'
a²+b² = (a-b)² + 2ab
Thank you. ☺️
hope it helps
The function is f(x) is shown on the graph.
What is f(0)
•12 only
•2 and 3 only
•-2, -1, 1, and 2 only
•-2, -1, 1, 2 and 12
Answers
Answer:
12 only
Step-by-step explanation:
The function is given on the graph.
What is f(0)?
This is the value of y when x = 0.
Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:
12 only
How do I do this question?
Answers
Answer:
3rd OptionStep-by-step explanation:
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]
[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]
[tex] = 9 \sqrt{2} (ans)[/tex]
Rewrite with only sin x and cos x.
sin 2x - cos x
Answers
Answer:
2sinxcosx - cosx OR cosx(2sinx - 1)
Step-by-step explanation:
Use the double angle identity for sin2x.
sin2x = 2sinxcosx
Substitute sin2x with 2sinxcosx.
2sinxcosx - cosx
Factor out cosx, if needed.
cosx * (2sinx - 1)
Answer:
[tex]{ \tt{ \sin2x - \cos x }} \\ = { \tt{(2 \sin x \cos x) - \cos x }} \\ = { \tt{ \cos x(2 \sin x - 1) }}[/tex]
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university.
No. of absences 0 1 2 3 4 5 6 7 8 9
Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
a) Which variable is the explanatory variable?
b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form).
c) Compute the correlation coefficient
d) Does a linear relation exist between the number of absences and the final grade? Justify your answer.
e) Write out the least-squares regression line equation.
f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings.
g) Explain the slope in context.
h) Is the y-intercept meaningful in this situation? Explain.
i) Compute and interpret the coefficient of determination.
j) Construct a residual plot to verify the requirements of the least-squares regression model.
Answers
simplify 3xy-2x-5xy+7x-1
Answers
Step-by-step explanation:
shshddbsjsnsbsbakskkamansnsbdgdhshzjzkznzn
-2xy+5x+1
Not entirely sure this is 100% correct, but this is what I got lol
Patty's dog weighs 48 ounces. How many pounds does Patty's dog weigh?
Answers
Answer:
If Patty's dog weighs 48 ounces, and we convert ounces to pounds, our answer is 3. Patty's dog weighs 3 pounds
Step-by-step explanation:
22. You are traveling on a highway starting at point A. After you have
traveled 63 miles (point B), you see a sign that says it is 87 miles
(point B), you see a sign that says it is 87 miles to your destination
(point C). . Find the total distance you will travel to get to your
destination.
A А
63 mi
B.
87 mi
С
Answers
Answer:
150 miles
Step-by-step explanation:
63 + 87 = 150
ASAP please helppp
Answers
Answer:
1.3
Step-by-step explanation:
Raise/run = slope aka distance in this situation
8/6 = 1.3
Answer:
10 units
Step-by-step explanation:
use the distance formula as thought in school
find height of cylinder given surface area and radius
Answers
Answer:
h = A/2πr - r
That's the formula. Hopefully it's understandable because I don't know any other way of typing it. You can always search it up and it'll show you. :)
Activity 1
1. How much space in the room will a cabinet occupy if it is 1.5 m long, 0.34 m wide and 2.5 m high?
2. A box is 2,5 dm long and 5pm high it's volume is 62.5 dm. How wide it is?
3.Alberto made a cubical box 3cm on a side. What is the capacity of the box?
Answers
Step-by-step explanation:
my answer is in the image above
Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4
Answers
Answer:
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]
Answer:
D. 1/(x+1)(x-2)
Step-by-step explanation:
i looked it up on a simplifier :)