Answer:
r=12
Step-by-step explanation:
r=12
circumference of arc = theta/360*2πr=3π given
Pi cancels
theta/360*2*12=3
theta*6/90=3
theta*3/45=3
3 cancels,45 to the other side
theta=45 degrees
This should do it :)
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
unit rate for $112 in 8 hours
Answer:
$14 per hour could i get brainliest please?
Step-by-step explanation:
Answer:
$14 per hour
Step-by-step explanation:
112 divided by 8 is 14. So $14 per hour
Algebra 2 Please Help
5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answer:
what are you supposed to do here?
Step-by-step explanation:
John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
What is the answer to the problem?
30 = -5(m + 6) + m
30=−5(m+6)+m
Step 1: Simplify both sides of the equation.
30=−5(m+6)+m
30=(−5)(m)+(−5)(6)+m(Distribute)
30=−5m+−30+m
30=(−5m+m)+(−30)(Combine Like Terms)
30=−4m+−30
30=−4m−30
Step 2: Flip the equation.
−4m−30=30
Step 3: Add 30 to both sides.
−4m−30+30=30+30
−4m=60
Step 4: Divide both sides by -4.
−4m
−4
=
60
−4
m=−15
Answer:
m=−15
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
Which is an equation of a direct proportion
Answer:
The equation of a direct proportion is: y=8x
So, the correct option is Option A.
Step-by-step explanation:
We need to find equation of direct proportion.
If y varies directly with x then:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality
So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]
We get the correct option: y=8x
All other options are not according to direct equation
The equation of a direct proportion is: y=8x
So, the correct option is Option A.
The students at Job's high school
were surveyed to determine their
favorite foods. The results are shown
in the table below. Suppose students
were randomly selected and asked
what their favorite food is. Find the
probability of each event. Write as a
fraction in simplest form.
Favorite Food Responses
Pizza 19
Steak 8
Chow-mein 5
Seafood 4
Spaghetti 3
Cereal 1
16. P(steak)
17. P(Spaghetti)
18. P(cereal or seafood)
19. P(not chow-mein)
19. P(pizza)
20. P(cereal or steak)
21. P(not steak) 22. P(not cereal or seafood)
23. P(chicken) 24. P(chow mein or spaghetti)
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
Identify what property is 17 + 54 + 6?
Identity property
distributive property
commutative property
associative property
Kelly,Marvin and Indhu saved $100 altogether.Kelly saved $16 more than Indhu .Marvin saved twice the amount Indhu saved. How much did kelly save?
Answer:
$37
Step-by-step explanation:
Let $x be the amount Kelly saved.
Kelly saved $x.
Indhu saved $(x-16). (Kelly saved $16 more than Indhu)
Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)
They saved $100 together.
Therefore we could set up an equation.
x+(x-16)+2(x-16)=100
x+x-16+2x-32=100
4x=148
x=37
Therefore Kelly saved $37.
I need help with this one
Answer:
Yes they are similar
Step-by-step explanation:
They have the same measurements adding up to 180.
Triangle RST angles are 120, 20, and 40
Triangle JKL angles are 120, 40, 20
Those are the same numbers.
Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012
Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
Slope-Intercept Form of 3x – 4y – 16 = 0
Answer:
Y= 3/4x - 4
Step-by-step explanation:
Hey there!
The answer to your question is y = 3/4x - 4
We have to solve for y:
3x - 4y - 16 = 0
3x - 4y = 16
-4y = -3x + 16
y = 3/4x - 4
Hope it helps and have an amazing day!
I need help with finding slopes from two points thank you
Answer:
i do believe the answer is 6/7
a band is playing a 5000 seat arena and determines that if it sells tickets for $50 each, it will only sell 2,000 tickets. at decides to sell tickets at reduced prices in order to sell more tickets, and discovers that that for each $5 it reduces prices, it will sell an additional 500 tickets. what is the optimal ticket price if the band wants to maximize the revenue from this concert?
Answer:
375,000$?
Step-by-step explanation:
Answer:
Optimal ticket price is $35
Step-by-step explanation:
$50 -> 2000 tickets => $100,000 revenue
each $5 drop in price equals 500 more tickets sold
$40 -> 3000 tickets => $120,000 revenue
$35 -> 3500 tickets => $122,500 revenue
$30 -> 4000 tickets => $120,000 revenue
$25 -> 4500 tickets => $112,500 revenue
$20 -> 5000 tickets => $100,000 revenue
Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
igcwochcd chocho dhvohov dochvo
9(x-4) -7x=32-2(x+8)
Answer:
x=13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
using distributive property:
9x-36-7x=32-2x-16
2x-36=16-2x
4x=52
x= 13
plz brainliesttt
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
Learn more about Algebraic expressions :
https://brainly.com/question/395066
#SPJ2
At a camping site, there are 3 yellow canoes for every 5 blue canoes. What percentage of the canoes are blue?
Answer:
60%
Step-by-step explanation:
Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%
= 60%
517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?
Answer:
6 cupcakes or 6/10 or 3/5
Step-by-step explanation:
2/3 of a yard = ______ inches
Answer:
24 inches
Step-by-step explanation:
you're welcome
an=-3+5(n-1) written in function form
also whats the y intercept?
Answer:
written function is 5n-8
Step-by-step explanation:
there is no y-intercept
I really need help thanks
what is the circumference of a 12mm circle
Answer:
The circumference is 37.7 mm.
PLZ HELP!!
What quadrant is (0, 4)
A.1
B.2
C.3
D.4
E.x-axis
F.y-axis
Answer:
F.y-axis
Step-by-step explanation:
y axis is the answer because 0 is starting.
The given point
(0,4)
is on the positive segment of the y-axis.
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
