Answer:
See step by step explanation
Step-by-step explanation:
Matching the vocabulary word with the correct definition, we get;
1. Axis of Rotation: a line around which a two-dimensional shape is rotated or revolved to create a three-dimensional shape.
It is a straight line through a rigid body when all its part are in rotation.
2. Cross section: the two-dimensional shape that results from cutting a three-dimensional shape with a plane. It is a internal view of an object that is made by cutting through it.
3. Solid of Revolution: the three-dimensional shape that is produced when a two-dimensional shape is rotated or revolved around a line. In mathematics, it is a solid shape that is obtained by revolving a curve around an axis.
Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hours
what is the airplanes unit rate of speed in miles per hour?
at this rate of speed, how many miles the airplane travel in 1 1/2 hours?
Answer: A=450
Step-by-step explanation:
The following data were given in a study of a group of 1000 subscribers to a certain magazine. In reference to job, marital status, and education, there were
312 professionals,
470 married persons,
525 college graduates,
42 professional college graduates,
147 married college graduates,
86 married professionals,
25 married professional college graduates.
(i) Let a person be picked at random. Determine the probability that the person is married or professional or college graduate.
(ii) Explain why the numbers reported in the study must be incorrect.
Answer:
[tex](a)[/tex] [tex]P(M\ or\ P\ or\ C) = 1.307[/tex]
(b) See Explanation
Step-by-step explanation:
Given
[tex]P = 312[/tex] ---- Professionals,
[tex]M = 470[/tex] ----- Married persons,
[tex]C = 525[/tex] ---- College graduates,
[tex]PCG = 42[/tex] ----- Professional college graduates,
[tex]MCG = 147[/tex] ----- Married college graduates,
[tex]MP = 86[/tex] ---- Married professionals,
[tex]MPCG = 25[/tex] ---- Married professional college graduates
[tex]Total =1000[/tex]
Solving (a): P(M or P or C)
This is calculated as:
[tex]P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)[/tex]
[tex]P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}[/tex]
[tex]P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}[/tex]
[tex]P(M\ or\ P\ or\ C) = \frac{1307}{1000}[/tex]
[tex]P(M\ or\ P\ or\ C) = 1.307[/tex]
(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.
In (a) above, the calculated probability exceeds 1.
Because of this single reason, the collected data is incorrect
PLEASE HELP MEEE
I will give a crown to the right answer
This histogram shows the numbers of shoppers in various age groups at a clothing store.
How many shoppers are at least 30 years old?
a.5
b.7
c.13
d.17
A beach resort has 29 jet skis for guests to rent. Of these, 14 are two-person skis, 18 haveturbo packs, and 10 are both for two persons and have turbo packs. LetTbe the event that a jetski, randomly chosen, is a two-person ski, and letPbe the event that the ski has a turbo pack.A jet ski is chosen at random for rental. Find the probability for each of the following events.
Questions:
a. The jet ski is for two persons and has turbo packs.
b. The jet ski is not for two persons but has turbo packs.
Answer:
[tex]P(P\ and\ T) = \frac{10}{29}[/tex]
[tex]P(P\ and\ T') = \frac{270}{841}[/tex]
Step-by-step explanation:
Given
[tex]n=29[/tex] --- Total
[tex]T = 14[/tex] --- Two person skis
[tex]P = 18[/tex] --- Turbo packs skis
[tex]P\ and\ T = 10[/tex] --- Two person ski and Turbo packs
Solving (a):
This is represented as: [tex]P(P\ and\ T)[/tex]
This is calculated as:
[tex]P(P\ and\ T) = \frac{n(P\ and\ T)}{n}[/tex]
[tex]P(P\ and\ T) = \frac{10}{29}[/tex]
Solving (a):
This is represented as: [tex]P(P\ and\ T')[/tex]
This is calculated as:
[tex]P(P\ and\ T') = P(P)\ and\ P(T')[/tex]
[tex]P(P\ and\ T') = P(P)\ *\ P(T')[/tex]
Using the complement rule, we have:
[tex]P(T') = 1 - P(T)[/tex]
The equation becomes:
[tex]P(P\ and\ T') = P(P)\ *\ [1 - P(T)][/tex]
[tex]P(P\ and\ T') = \frac{n(P)}{n}\ *\ [1 - \frac{n(T)}{n}][/tex]
[tex]P(P\ and\ T') = \frac{18}{29}\ *\ [1 - \frac{14}{29}][/tex]
[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{29-14}{29}[/tex]
[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{15}{29}[/tex]
[tex]P(P\ and\ T') = \frac{18*15}{29*29}[/tex]
[tex]P(P\ and\ T') = \frac{270}{841}[/tex]
PLEASE HELP!!!50 POINTS!!GIVING BRAINIEST!!!Noah is helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1.50.
boxes sold (b) money collected (m)
1 $ ?
2 $ ?
3 $ ?
4 $ ?
5 $ ?
6 $ ?
7 $ ?
8 $ ?
b. Write an equation for the amount of money, m, that will be collected if b boxes of chocolate bars are sold.
c. What is the independent variable? (m or b?) What is the dependent variable?(m or b?)
d. Write an equation for the number of boxes, b, that were sold if m dollars were collected. (use / to show division)
e. What is the independent variable?(m or b?)
What is the dependent variable? (m or b?)
i might have read this problem wrong since i didnt get a clear understanding because of the wording of this problem but i will do the best i can!
step-by-step explanation:
first step is to make a table! and ill just make one on here so you can get a better understanding on this problem :)
----------------------------------
| boxes sold (b) | money collected (m) |
----------------------------------
| 1 | 1.50 |
----------------------------------
| 2 | 3 |
----------------------------------
| 3 | 4.50 |
----------------------------------
| 4 | 6 |
----------------------------------
| 5 | 7.50 |
----------------------------------
| 6 | 9 |
----------------------------------
| 7 | 10.50 |
----------------------------------
| 8 | 12 |
----------------------------------
(b * 1.50) = m
the independent variable = boxes sold (b)
the dependent variable = money collected (m)
hope this helps you and please tell me if i did something wrong or if you need extra help understanding this problem! :)
Find the area of the following
triangle:
4.2 cm
3 cm
10 cm
A= [?] cm
Answer:
15 cm
Step-by-step explanation:
Base x height / 2 = Area(of a triangle) =
3 x 10 / 2 =
15 cm
The solution is : the area of the following triangle is, 15 cm².
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Here, we have,
given that,
4.2 cm
3 cm
10 cm
We know that,
area = bh/2
i.e. we get,
Base x height / 2
= Area(of a triangle)
substituting the values, we get,
= 3 x 10 / 2
= 15 cm²
Hence, The solution is : the area of the following triangle is, 15 cm².
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
Select the correct answer.
Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?
OA. f(x) = -4(x2 - 4)
OB. h() = -4(x - 2)(x + 2)
Och(x) = -47 +16
OD. H(x) = -2(2x - 3)
Answer:
Step-by-step explanation:
h(x) = -4(x-2)(x+2)
The zeros are 2 and -2.
Answer:
90
Step-by-step explanation:
OA. f(x) = -4(x2 - 4)
OB. h() = -4(x - 2)(x + 2)
Och(x) = -47 +16
OD. H(x) = -2(2x - 3)
The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?
Answer:
D. x^2 +14x + 40
Step-by-step explanation:
(x+4)(x+10)
x^2+10x+4x+40
x^2+14x+40
Answer:
d) x^2+14x+40
Step-by-step explanation:
You gotta multiply (x + 4)(x + 10)
Name the solid figure formed by the net.
Answer:
square
Step-by-step explanation:
it is a square because all the shapes/parts are the same size
it also has 6 faces, 12 vertices
What is the area of the polygon shown below?
Answer:
66
Step-by-step explanation:
first you find the area of the rectangle
5*12=60
then you find the area of the triangle
to find the length of the dotted line you need to subtract 9 from 12 which is 3
to find the length of the line adjacent to the dotted line you need to subtract 5 from 9 which is 4
use the triangle area formula 3*4*1/2=6
add the areas of the triangle and the rectangle 60+6=66
Here is a grid of squares.
Write down the ratio of the number of unshaded squares to the number of
shaded squares.
Answer:
3/10
Step-by-step explanation:
............iam not sure
The required ratio of the unshaded square to the shaded square is 7 : 3.
Given that,
To determine the ratio of the number of unshaded squares to the number of shaded squares.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Number of shaded squares = 3
number of unshaded squares = 7
Required ratio = 7 / 3 = 7 : 3
Thus, the required ratio of the unshaded square to the shaded square is 7 : 3.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ2
a sphere has a volume of 36tt in3 find the radius of the sphere
Answer:
r=3 inch
Step-by-step explanation:
If x = 61°, find the measures of angles
What is 8 x 7/8 in a fraction
Answer:
7/8 x 8 = 56/8 as simplified as 7/1 in fraction form.
Step-by-step explanation:
Hope it helps :)
plz help
Item 15
A crowd-funding project has received $16,770, which is $1230 less than 90% of the goal amount. What is the goal amount?
Answer:
The goal is $19,800.
Step-by-step explanation:
$16,770 is $1,230 less than %90 of the goal. If you add 16,770 and 1,230, you get 18,000. Then you have to multiply that by 1.10 to get it to the goal. That is how you get $19,800, which is the answer.
What is the distance between points A and B shown in the graph below
Answer:
[tex]D = 7\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-4)[/tex]
[tex]B = (4,3)[/tex]
Required
The distance between them
This is calculated as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, we have:
[tex]D = \sqrt{(3-(-4))^2+(4-(-3))^2}[/tex]
[tex]D = \sqrt{7^2+7^2}[/tex]
[tex]D = \sqrt{2(7^2)}[/tex]
[tex]D = 7\sqrt 2[/tex]
A bicycle has a listed price of $813.95 before tax. If the sales tax rate is 8.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$883.14
Step-by-step explanation:
Have a great day! ;)
Answer:
813.95*%8.5=69.19
69.19+813.95=883.14
883.14
I need help it’s due today
I will mark brainliest if you help
Answer:
Step-by-step explanation:
839°
6 3/4 divided by 2 5/8 in the simplest form?
Answer:
6 6/8
2 5/8
------------
2.57142857143
or 2 57/100
Step-by-step explanation:
sorry if this is wrong
Answer:
there hope this helps I tried
if 0 is between 0 and 90 and tan0=7/8 find cos0
Answer:
0.75
Step-by-step explanation:
o = atan ( 7/8 ) = 41.18
cos ( 41.18 ) = 0.75
Answer:
Step-by-step explanation:
Hh
Sin 14.629 degrees = Cos ___
Answer:
Step-by-step explanation:
sin(14.629°) = cos(90°-14.629°) = cos(75.371°)
Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether?
Answer:
3/5
Step-by-step explanation:
1/5 + 2/5 = 3/5
3/5
I'm not sure tho sorry
write in decimal.
I will mark BRAINLIST.
Answer:
1.70
8.40
130.200
7.120
6.60
142.30
Step-by-step explanation:
The decimal numeral system is the standard system for denoting integer and non-integer numbers.
Decimal is a point which denotes integer and non-integer numbers (mah own answer)
SOMEONE PLZ ANSWER THIS FAST
Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?
Answer:
9.8 miles
Step-by-step explanation:
14/5= 2.8mph
2.8*3.5= 9.8 miles in 3.5 hours
Pure salt is made up of sodium and chloride. Each gram
of salt contains 0.393 g of sodium. About how much
sodium is in 55.7 g of pure salt?
Answer:
141.73g
Step-by-step explanation:
Find the area of the sector and explain please
Answer:
78.5398
Step-by-step explanation:
Area of a circle:
a=[tex]\pi[/tex]r²
Radius is 10.
a=[tex]\pi[/tex]10²
a=[tex]\pi[/tex]100
a=314.15926
90° is one quarter of the circle, so multiply it by 0.25.
314.15926x0.25=78.5398
I don't know how many places the directions want it rounded to. If it said to use 3.14 for pi, the answer would just be 78.5.
What is 5% of 30? Help ASAP plzzzzzzz
Answer:
1.5
Step-by-step explanation:
the equivalent expression of (7+r)3
Answer:
21 + 3r
Step-by-step explanation:
(7 + r) 3 =
(7) x 3 + (r x 3) =
21 + 3r
Hope that helps!
9x+6-4x=4x+7 pls pls pls pls pls pls help
9x+6-4x=4x+7
5x+6=4x+7
-6 -6
5x=4x+1
-4x -4x
x=1
---
hope it helps