Answers
I'll do the first three problems (numbers 15 through 17) to get you started.
===================================================
Problem 15
Answer: 21.98--------------------
Explanation:
We cut the diameter in half to get the radius. We can think of cutting the 14 in half to get 7, ignoring the pi while we cut in half. Then after we do that, we tack the pi back on.
In short, 14pi cuts in half to 7pi.
Then we could see that 7*pi = 7*3.14 = 21.98
The radius is about 21.98 inches.
===================================================
Problem 16
Answer: 78.5--------------------
Explanation:
We'll plug r = 5 into the area of a circle formula.
A = pi*r^2
A = 3.14*5^2
A = 78.5 square yards approximately
===================================================
Problem 17
Answer: 6--------------------
Explanation:
We'll use the formula
C = pi*d
which is the formula that ties together the circumference C with the diameter d.
Plug in the given circumference C = 12pi and isolate d
C = pi*d
12pi = pi*d
12 = d .... divided both sides by pi, which cancels out
d = 12
The diameter is 12. Your step by step picture doesn't have to be this wordy, but I'm doing this to help show that the circumference like 12pi simply has the "pi" part erased to get the diameter. This allows a reader to quickly spot the diameter if given the circumference in this form. And it also allows to go from the diameter to the exact circumference without any calculator involved.
Once you get the diameter, you cut it in half to get the radius. Half of 12 is 6, so the radius is 6 cm.
------------
You could also have this as your steps
C = 2*pi*r
12pi = 2*pi*r
12 = 2r
2r = 12
r = 12/2
r = 6
which is an alternative way to see that the radius is 6 cm.
Related Questions
Must show work, please helppp
Answers
i can't see the photo.
9514 1404 393
Answer:
1/2
Step-by-step explanation:
The base of the exponent tells us the common ratio of this geometric series is 1/2. The start value of n=7 tells us the first term in the series we're evaluating is ...
a1 = 2(1/2)^(7-4) = 2·(1/2)^3 = 2/8 = 1/4
The formula for the infinite sum of a geometric series is ...
S = a1(1/(1-r))
Filling in the values we know, this is ...
S = (1/4)(1/(1 -1/2)) = (1/4)(2) = 1/2
The infinite sum is 1/2.
A company has machinery calibrated for a certain widget to manufacture the product so that all of the products will average out to a mean weight of 7 grams and a standard deviation of 2 grams. What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
Answers
Answer:
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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.
Mean weight of 7 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 7, \sigma = 2[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]
What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?
By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.
Help me please!!!!!!
Answers
Explanation it’s right
If f(x) = 3x - 2 and g(x) = -x + 4, find (g o f)(x).
Answers
Answer:
-3x + 6
Step-by-step explanation:
(gof) = -(3x-2)+4
= -3x + 2 + 4
= -3x + 6
Solve the equation. 3x + 6 = 24
Ο Α. 2
OB. 4
Ос. 6
O D. 8
Please help ASAP connexus
Answers
Answer:
option no.C 6
Step-by-step explanation:
3x+6=24
3x=24–6
3x=18
x=18/3
x=6
(10, 19), (-13, 9) find distance
Answers
Answer:
1,043 km
Step-by-step explanation:
hi hope you have a good dayy
Answer:
Distance between points (10, 19) and (-13, 9) is 25.0799
Step-by-step explanation:
Input Data :
Point 1 (xA, yA) = (10, 19)
Point 2 (xB, yB) = (-13, 9)
Formula : Distance between two points = √(xB − xA)^2 + (yB−yA)^2
Solution :
Distance between two points = √(−13−10)^2+(9−19)^2=
√(−23)^2+(−10)^2
= √529+100
= √629
= 25.0799
hope this helps and is right. p.s i really need brainliest :)
please help me with this question
Answers
Answer:
I believe it is 20
Step-by-step explanation:
NO is 10 and NO is equal the bottom of the triangles. There are 2 bottoms of triangles in JK 10x2 would be 20.
A UW Madison professor is interested in learning about the variance of grades for university students. The professor gathers the sample variance for a random sample of 50 students. From past experience, the professor knows that the population of students is normally distributed. The sample variance that is collected is equal to 80. The professor would like to infer at the 1% significance level that the population variance is less than 100.
a. State the appropriate null and alternative hypothesis.
b. What is the correct test statistic?
c. What is the conclusion of the test?
d. What would be the effect if the professor increased the sample size?
Answers
Answer:
A) H0 : μ = 100
H1 : μ < 100
B) 39.2
C) We fail to reject null hypothesis
D) If the professor increases the sample size the value of the test statistic will increase .
Step-by-step explanation:
sample variance ( s ) = 80
sample size = 50
At ∝ = 0.01 population variance ( σ ) < 100
a) Hypothesis
H0 : μ = 100 ( Null hypothesis )
H1 : μ < 100 ( Alternate hypothesis )
b) Determine The correct test statistic
x^2 = ( n-1 ) * s^2/σ^2
= ( 49 ) * 80^2 / 100^2
= 39.2
C) Determine the conclusion of the test
The P-value = 0.1596 ( calculated )
The conclusion of the test is that we fail to reject null hypothesis given that
P-value ( 0.1596 ) > ∝ ( 0.01 )
D) If the professor increases the sample size the value of the test statistic will increase .
PLEASE ANSWER WHOEVER ANSWERS CORRECT I WILL GIVE 60 POINTS! Graph using as many points as needed y=|x-3|+5
Answers
Answer:
---
Step-by-step explanation:
hope it helps
Answer:
Transition:
1) The vertex point moves 3 steps to the right
2) Then, it goes up 5 steps
This equation is positive so the graph will face upwards.
The vertex will end up as: (3, 5)
The two other points will be:
Point 1 - (2,6)
Point 2 - (4,6)
A right triangle has legs with lenghts of 7 units and 12 units. What is the area of the triangle?
Answers
Answer:
area of triangle =1/2 x b x h
Step-by-step explanation:
=1/2 x 7 x 12
= 1/2 x 84
= 42 units
What number is the best prediction! Please help :(
Answers
Answer:
28
Step-by-step explanation:
A parallelogram has an area of 416 square meters and a base measuring 16 meters,
What is the height of the parallelogram?
The height is ____ m.
Pls help I need this done today!!!
FIRST PERSON TO ANSWER GETS BRAINLYEST WHATEVER ITS CALLED
Answers
Answer:
26 meters
Step-by-step explanation:
a = bh
416 = 16h
Divide both sides by 16
h = 26
26 meters
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Answers
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
Two parallel lines cut by a transversal are shown. What is the measure of X"?
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked angles are "alternate interior" angles, so are congruent.
(x° +20°) = (4x° -10°)
30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x
10 = x . . . . . . divide by 3
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
Answers
EXPLAINTION
CHECKING YOUR UNDERSTANDING
Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper
1. A dinner plate has a diameter of 10.2 cm. What is the area of the dinner plate?
A. 81.67 cm
C. 93.84 cm
B. 85.12 cm
D. 100.02 cm
2. A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around
in circles pulling the leash as far as it can go. How much area does the dog have
to run around ?
A. 26.28 m2
C. 29.66 m2
B. 28.26 m2
D. 32.28 m²
3. A storm is expected to hit 7 mi in every direction from a small town of Malabon.
What is the area that the storm will affect?
A. 116.68 mi
C. 150.67 mi
B. 124.83 mi
D. 153.86 mi
4. Every December, an amusement park is constructed in Malabon Robinsons Town
mall. A carousel is the most favorite ride of the kids there. The diameter of the
carousel is 20.5 m. What is the area of the carousel?
A. 329.90 m²
C. 392.90 m2
B. 328.90 m2
D. 391.90 m2
5. A lawn sprinkler sprays water 4.5 ft in every direction as it rotates. What is the area
of the sprinkled lawn?
A. 56.885 ft
C. 63.585 ft
B. 60.855 ft
D. 65.385 ft
Answers
Answer:
1) 81.67 cm² (Option A)
2) 28.26 m² (Option B)
3) 153.86 mi.² (Option D)
4) 329.90 m² (Option A)
5) 63.585 ft.² (Option C)
Step-by-step explanation:
GENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Diameter of a circle with radius 'r' = 2r
Area of a circle with radius 'r' = πr²
SOLUTION :-
1) Diameter of the dinner plate = 10.2 cm
Radius of the dinner plate = 10.2/2 = 5.1 cm
⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²
2) Length of his leash = 3m
⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²
3) Radius of the circular range of storm = 7 mi.
⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²
4) Diameter of carousel = 20.5 m
Radius of carousel = 20.5/2 = 10.25 m
⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²
5) Radius of the range of sprinkler = 4.5 ft.
⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²
math please help 10 points!
Answers
Answer:
D. 36m^2
Step-by-step explanation:
4×9= 36
length × height = area
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
9 (t + 19) = 7t + 17
What value of t makes the equation true?
Answers
Answer:
9t + 171 = 7t + 17
9t - 7t =17 - 171
2t/2 = -154/2
t = -77
dau coroana
daca il faceti
Answers
Answer:
I give the crown
if you do
Step-by-step explanation:
Answer:
what does that mean?
Step-by-step explanation:
HELP ASAP I WILL MARK BRANLIEST!!!
This probability distribution shows the
number of times a group of people takes
selfies before liking them.
Retakes
o
1
2
3
4
Frequency
27
29
18
14
12
Using this distribution, find the probability that a
person will retake their sexfie exactly 3 times.
p = [?]
Answers
Answer:
0.14
Step-by-step explanation:
0.14 is the probability that a person will retake their sexfie exactly 3 times.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given
Total frequency = 27+29+18+14+12 = 100
frequency of 3 retakes = 14
p(r) = frequency of 3 retakes/ Total frequency
p(r) = 14/100 = 0.14
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ2
Find the value of x
Answers
Answer:
Hello! answer: x = 4
Step-by-step explanation:
Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!
180 degree line-
180 = (8x + 120)
-120
60 = 8x
/8
7.5
x = 7.5
7(7.5) = 52.5
what does • in math mean?
Answers
multiplication
hope this helped <3
write a function rule for the statement. The output is five times the input.
Answers
Answer:
y=5x
Step-by-step explanation:
If the input is x, then the out put is 5x. So y=5x
if tan (A) = 3/4, then tan (B) equals
Answers
Answer:
i think I will also be =3/4
Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((
Answers
9514 1404 393
Answer:
B. (3/2x, 3/2y)
Step-by-step explanation:
It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:
3/2
Dilation about the origin multiplies each coordinate value by the scale factor:
(x, y) ⇒ (3/2x, 3/2y)
ok heres the other one...
Answers
Step-by-step explanation:
Think of every surface as a 2D shape.
you know that
Area of a triangle is: A = 0.5 b h
Area of a square is: A = L x W
You add each area thats exposed
for example: the front and back of the triangle would be (0.5 x 3cm x 8cm) x 2 [since there are two faces]
How do we find the perimeter of a shape 20mm 10mm 20mm 60mm 20mm
Answers
Answer:
130mm
Step-by-step explanation:
I'm pretty sure you mean each of the sides is this length... so I'll go off of that. 20+10+20+60+20 is the addition for this problem.
20+10+20+60+20=130 is the answer.
How do your write a feaction with a denominator of 20 as a decimal?
Answers
Answer:
Step-by-step explanation:
What is 20 as a decimal? To write 20 as a decimal you have to divide numerator by the denominator of the fraction. 20 is not a fraction so it is a decimal already. And finally we have: 20 as a decimal equals 20
you made a batch of 24 cookies for school your brother ate 7 of them without asking you. What fraction of your cookies are left?
Answers
Explanation:
24/24 is your original amount.
24 - 7 = 17.
So now you have 17/24! :D