Answer:
157.92 + d =t
Step-by-step explanation:
A circular plate has a circumference of 119.32cm. Calculate the diameter.
Answer:
Diameter is equal to 38 cm.
Step-by-step explanation:
We know that the circumference equals πd (where d is the diameter).
If we round the value of π to 3.14 then we will get...
πd = 119.32
(3.14)d = 119.32
d = 119.32 / 3.14
d = 38 cm
Therefore the diameter is equal to 38 cm
2. Identify the relationship between the angles
given, then write and solve the equation to find
the value for the variable “x”.
Answer:
x is 21. dccxpxpdpdpdpdp
Answer:
Mutual
Step-by-step explanation:
33° +2x-15 =90
2x =90+15-33
2x=72
X=36
Are the ratios 3:6 and 1:2 equivalent?
Answer:
yes these are equivalent bcz
3/6=1/2
Step-by-step explanation:
PlZ make me brainliest
Answer:
Yes
Step-by-step explanation:
3/6= 0.5
1/2= 0.5
Pls help I don't need an explanation just the answer please :)
Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.
a. Let A be the event that all the parts fall into the same category. List the outcomes in A.
b. Let B be the event that there is one part in each category. List the outcomes in B.
c. Let C be the event that at least two parts are conforming. List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Answer:
a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d. Outcomes of A⋂C = { (C,C,C) }
e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}
i. Events A and C are not mutually exclusive
j. Events B and C are mutually exclusive
Step-by-step explanation:
Given - Three times each day, a quality engineer samples a component
from a recently manufactured batch and tests it. Each part is
classified as conforming (suitable for its intended use),
downgraded (unsuitable for the intended purpose but usable for
another purpose), or scrap (not usable). An experiment consists
of recording the categories of the three parts tested in a particular
day.
To find - a. Let A be the event that all the parts fall into the same
category. List the outcomes in A.
b. Let B be the event that there is one part in each category.
List the outcomes in B.
c. Let C be the event that at least two parts are conforming.
List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂[tex]C^{c}[/tex]
h. List the outcomes in ⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Proof -
Let
Conforming part = C
Downgraded part = D
Scrap part = S
a.)
Given , Let A be the event that all the parts fall into the same category.
Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b.)
Given, Let B be the event that there is one part in each category.
Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c.)
Given, Let C be the event that at least two parts are conforming.
Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d.)
Outcomes of A⋂C = { (C,C,C) }
e.)
Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f.)
Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g.)
Outcomes of [tex]C^{c}[/tex] = { (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h.)
Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }
Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
i.)
As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅
Now,
A ∩ C = { (C,C,C) }
⇒Events A and C are not mutually exclusive.
j.)
As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅
Now,
B ∩ C = ∅
⇒Events B and C are mutually exclusive.
How many inches are equal to 16 feet
Step-by-step explanation:
16 feet is equal to 192 inches.
Hope it helps :)❤
Answer:
192 inches is equal to 16 feet.
(Hope this helps! Btw, I answered first. Brainliest please! :D)
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it
Answer:
0.36 = 36% probability that the land has oil and the test predicts it
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
45% chance that the land has oil.
This means that [tex]P(A) = 0.45[/tex]
He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.
This means that [tex]P(B|A) = 0.8[/tex]
What is the probability that the land has oil and the test predicts it?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36[/tex]
0.36 = 36% probability that the land has oil and the test predicts it
Answer:
The probability that the land has oil and the test predicts it is 36%
Step-by-step explanation:
So option C. 0.36 is correct for plato users
Jake has 3.5 hours before bedtime he must spend 2 hours doing homework the rest of his time will be spent doing puzzles it takes Jake 1/2 hour to complete each puzzle which equation models the number of puzzles P jake can complete before bedtime
3.5 = 2 - (1/2)p
(1/2)p+ 2 = 3.5
3.5 + 2 = (1/2)p
(1/2)p - 2 = 3.5
Answer:
(1/2)p+2=3.5
Step-by-step explanation:
1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.
Answer this correctly I’ll give u brainalist + 10 points
Answer:
c
Step-by-step explanation:
Answer:
C. II and III
Step-by-step explanation:
Vertical angles are all start across from each other.
So:
∠3 and ∠6 are across from each other
∠2 and ∠5 are across from each other
∠1 and ∠4 are across from each other
The only option with at least two of the true statements above is C.
at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of levi jeans with an original price of x?
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
[tex]Price=x-40\%\text{ of }x[/tex]
[tex]Price=x-\dfrac{40}{100}x[/tex]
[tex]Price=x-0.4x[/tex]
[tex]Price=0.6x[/tex]
The price after 7% of sales tax.
[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]
[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]
[tex]Price=0.6x+0.042x[/tex]
[tex]Price=0.642x[/tex]
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
Given a and b are numbers, and a + b = 180, which
statements also must be true?
a = 180 - 6
a - 180 = b
360 = 2a + 2b
a = 90 and b = 90
12cm and 8 cm find the ratio and reduce them in term of lowest term
Answer:
very good im famous biol How to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerHow to add a great answerigist
Step-by-step explanation:
Can someone please answer this question
Giving brainleist!
Answer:
a) 9000
b) 40
c) 630
d) 125
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.
Consider the expression 16a + 4c.
Part B
What is the value of the expression
when a = -2 and c = -1?
2/5 g = 3/5 help I don't know what the answer is
Answer:
Step-by-step explanation:
2/5 g = 3/5
g = 3/5 - 2/5 = 1/5
Jamie wants to treat some friends to lunch. He has $40 and knows the lunch will cost about $7 per person p. How many people can Jamie buy lunch for.
Answer:
5 people
Step-by-step explanation:
40/7=5.71
Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
(3, 2) is a solution to the given system of linear equations.
x - 8y = 3 - 8*2 = 3 - 16 = - 13
16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16
WILL MARK BRAINLIST JUST HELP NOW
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of X.
A) 10 degrees
B) 25/5 degrees
C) 40 degrees
D) 160 degrees
Answer:
definitely A
Step-by-step explanation:
10 degrees. hope this helps lovely <3
After a discount of 40%, the sale price of a ride pass at a fun park is $30. What is the original
price?
Answer:
30 divided by 0.40 = 75
The original price was $75
Step-by-step explanation:
30 divided by 0.40 = 75
The original price was $75
8. Carisa is four inches taller than her friend Lily.
Answer:
cool
Step-by-step explanation:
100 POINTS AND WILL GIVE BRAINLIEST Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
x
2
-1
10
1
2
y
Use the function rule to complete the table.
- 10x + y = 4
Help pleaseeeeeeeeeeeeeeeeee
Answer:
x + 2/3=29/5
x=29/5 - 2/3
x= 77/15
i don't know if this is what you're asking for.
sorry if its not
Is 4(4f-8)+5= 16f+37
An employee at a store makes $6 an hour. If she has made $237.38 in a week, how
many hours, did she work that week? Write an equation showing how to solve for how
many hours she worked using "h"as the variable.
Answer:40 hours
Step-by-step explanation:divide 237.36 by 6 and you will get 39.5633
so basically what you're going to do is round it up and your answer will be 40
At the zoo it is important to keep a good balance of male and
female animals. If 2 of the panda bears are female and there are
a total of 4 panda bears, what fraction of all the panda bears are
female?
Answer:
The answer is: 2/4
Step-by-step explanation:
There are a total of 4 panda bears, which makes 2 males and 2 females.
By making a fraction, you can say there are 2 panda bears, out of four.
PLEASE HELP ITS DONE IN 8 HOURSS!!!!!!
HELP!!!!!!!
Functions f(x) and g(x) are shown:
f(x) = x2 g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units
Answer:
Option A, Left by 4 units
Step-by-step explanation:
Step 1: Convert g(x) to a function square
We currently have g(x) in this order: [tex]ax^2 + bx + c[/tex]
However, we want g(x) to be in this order: [tex](ax + c)^{2}[/tex]
The first thing we have to do is to factor it out:
[tex]g(x)=x^{2}+8x+16[/tex]
[tex]g(x) = (x + 4)(x + 4)[/tex]
[tex]g(x) = (x+4)^{2}[/tex]
Step 2: Now we can see which way we need to move it
The original form is: [tex]f(x) = (ax - b)^{2}[/tex]
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
Look at the graphs below to make sure:
Answer:
A.) Left By 4 Units
Step-by-step explanation:
Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16
The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.
Given,
f(x) = x²
g(x) = x² + 8x + 16
we have to consider, the dependent term while selecting the direction.
Therefore, except x², only x term is dependent term.
In g(x), the x term is given by 8.
Therefore, we need to shift the f(x) left by 4 units.
Therefore, option A is correct.
7x10+2x1+6x1/10+3x1/1000
Answer:72.603
Step-by-step :
70 + 2 + 6 ÷ 10 + 3 ÷ 1000
=72.603
Need help ASAP!!!!!
Answer:
cos 45 degree = A/H
cos 45 degree = 2 square root 2 / x
x = 2 square root 2 / cos 45 degree
x = 4
Sin 45 degree = O/H
Sin 45 degree = y/ 4
4 x Sin 45 degree = y
y = 2.83
or
we could use tan
tan 45 degree = O/A
tan 45 degree = y / 2 square root 2
2 square root 2 x tan 45 degree = y
y = 2.83
i hope this would elp a little bit.