Answer:
[tex]\frac{\pi}{3}[/tex] radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) = [tex]\frac{360}{12}[/tex]
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians = [tex]\frac{\pi }{360}\times (120^0)[/tex]
= [tex]\frac{\pi }{3}[/tex]
Angle formed by the hands of the clock at 8:00 = [tex]\frac{\pi}{3}[/tex] radians
Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the
following number of cards drawn from a deck until a queen appears.
3,12,3, 11,5,5, 3, 10, 12
Answer:
3
Step-by-step explanation:
Point B has rectangular coordinates (-5, 12)
Write the coordinates (r, e) for point B. (O in degrees)
Answer:
(13, -67.4°)
Step-by-step explanation:
In the general case, for a point (x, y), the same point written in polar coordinates is (r, θ), such that:
r = √(x^2 + y^2)
θ = Atg(y/x)
Then if we have the point with coordinates (-5, 12)
The polar coordinates will be:
r = √((-5)^2 + 12^2) = 13
θ = Atg(12/-5) = -67.4°
Then the polar coordinates are:
(13, -67.4°)
plz plz plz help ill give brainly
Answer:
Width is 3
Step-by-step explanation:
_____________
/ / |
/ ______________/ |
2.5| | |
f | | |
e | | |
e | | |
t | | |
| | /
| | /
|______________|/ 3 feet
4 feet
In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20
what solid can be folded from the net?
Answer:
I think it is triangular prisim
Answer:
Triangular prism
Step-by-step explanation:
Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m
Answer:
-54
Step-by-step explanation:
adadaadadadadadadadad
Answer:
I think B and D
Step-by-step explanation:
I’m not 100% sure tho
What is the average rate of change from x = −4 to x = 1?
Answer:
What is the average rate of change from x = −4 to x = 1? x= -4 x + 5
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = [tex]3\frac{1}{3}[/tex]
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = [tex]3\frac{2}{5}[/tex]
The improper fraction is 17/5
Decimal value 3.4
Wednesday = [tex]3\frac{3}{8}[/tex]
The improper fraction is 27/8
Decimal 3.375
Thursday = [tex]3\frac{1}{2}[/tex]
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
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.Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162
2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18
3. Yes there is a outlier. and i believe it's 82
4. i believe the mean will be 80 but then divided by 5 will be 16
hope this helped :D
Step-by-step explanation:
In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!
In 2009- She paid $1900
She paid 16% more in 2010
16/100*1900=304
She paid $304 extra
$1900+$304
=$2204
Answer: In 2010 Tanvi paid $2204
[tex]16 \div81 \: - 3 \div 4[/tex]
please note that this is exponents
Answer:
16/81-3/4[
=[16×4-3×81]/[81×4]=-179/324 is your answer
In a class test (+ 5) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Rayan scored 30 marks. If she has got 10 correct answers, how many questions has she attempted incorrectly?
(ii) Riya scores 44 marks by attempting 13 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
OK ITS OK IM GOD CALM DOWN
Answer:
Step-by-step explanation:
(1)
If she got 10 answers right, she got 5 * 10 = 50 marks before anything was deducted.
Since she wound up with 30 marks, she lost 50 - 30 = 20 marks. If you don't feel comfortable with this, call it -20
Each incorrect answer cost her -2 marks.
Divide -20 /-2 = 10
She has answered 10 questions incorrectly.
(ii)
5x - 2y = 44
x + y = 13 Multiply this equation by 2
2x + 2y = 26
Rewrite the first and third equations
5x - 2y = 44
2x + 2y = 26 Add
7x = 70 Divide by 7
x = 70/7
x = 10
So 10 questions were answered correctly
x + y = 13
10 + y = 13
y = 3
Answer
10 were answered correctly
3 were answered incorrectly
Solve this please. Tell me an accurate answer for this word problem?
Answer:
81.8 kg
Step-by-step explanation:
Answer:
81.8
Step-by-step explanation:
Decimals work just like basic addition.
Line it up at the decimal point.
46.2
+ 35.6
_______
81.8
What is the domain of (-2, 5), (8, 6), (3, 12) (2, 6)
Answer:
The domain is (-2, 8, 3, 2)
Step-by-step explanation:
The domain is such because domain is the x-element or the one you see at first in the ordered pairs.
The standard recommendation for automobile oil changes is once every 3000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 49 customers who drive luxury cars and 38 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 3178 miles for the luxury car owners and 3200 miles for the compact lower-price cars. The sample standard deviations were 41.80 and 50.60 miles for the luxury and compact groups, respectively. Assume that the population distributions of the distances between oil changes have the same standard deviation for the two populations. Using the 1% significance level, can you conclude that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars
Answer:
We accept H₀ we have not enough evidence to support that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars
Step-by-step explanation:
Luxury cars sample:
sample size n₁ = 49
sample mean x₁ = 3178
sample standard deviation s₁ = 41,80
Compact lower-price cars sample
sample size n₂ = 38
sample mean x₂ = 3200
sample standard deviation s₂ = 50,60
Test Hypothesis:
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₁ - x₂ < 0 or x₁ < x₂
CI = 99 % then significance level is α = 1 % α = 0,01
Alternative Hypothesis indicates that we have to develop a one tail-test to the left
z(c) for α 0,01 is z(c) = -2,32
To calculate z(s)
z(s) = [ ( x₁ - x₂ 9 ] / √ (s₁²)/n₁ + (s₂)²/n₂
z(s) = ( 3178 - 3200 ) / √ 35,66 + 67,38
z(s) = ( - 22 / 10,15 )
z(s) = - 2,17
Comparing z(s) and z(c)
z(s) > z(c) - 2,17 > - 2,32
Then z(s) is in the acceptance region we accep H₀
Rosalind made 969 donuts and put 8 donuts into each box. How many boxes of donuts were made
Answer:
121 donuts in each box
Step-by-step explanation:
969 divided by 8 = 121.125
(Ignore the remainder)
Step by step solution:
We know that there are 969 doughnuts, and there are 8 doughnuts per box. What we need to find out is how many boxes of doughnuts were made.
Step 1:
Set up an equation for Number of doughnuts (969) / Number of doughnuts per box (8) = Number of boxes made (x), which would look like this:
969/8 = x
Step 2:
Doing this, we can get 121.125, which leaves us with
121.125 = x
121.125 = 121.125
Which gives us the answer of 121.125, which we can shorten to 121, as the decimal is not necessary.
Checking our answer:
We can check our answer simply be rewording our 1st equation to solve for the number of doughnuts made. This would give us the equation Number of doughnuts per box (8) * Number of boxes made (121.125) = x. Solving this equation would look like
8 * 121.125 = x
969 = x
969 = 969
Answer: By completing the steps above we get 121, and we can check our work by rewording the problem to solve for the number of Doughnuts. Good Luck!
1. Consider the surface area of the pyramid shown.
(a) Draw a net for the pyramid. Label all sides with measurements.
(b) Write an expression for the surface area of the pyramid and then find the surface area.
Answer:
i am also trying to figure out a
Step-by-step explanation:
What is the answer to this question?
Answer: 12a^3b^4
Hope this helps
One-third of 1/2 cake =_____ cake.
Answer:
1/6
Step-by-step explanation:
1/3 x 1/2 = 1/6
Natasha goes bowling she pays $5.75 for an admission ticket and $9.25 for each round of bowling she plays the total amount of Tasha pays for admission and the number of rounds who plays is $33.50 which equation can be used to determine the number of rounds X that Natasha bowled
a.) 5.75 x + 9.25=33.50
b.) 9.25 X - 5.75= 33.50
c.) 5.75 + 9.25 X= 33.50
d.) 5.75 x - 9.25=33.50.
If P = (3, 1) and Q = (-3, -7), find The distance PO
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
What is the inverse of x/4 ?
ill give brainlist thingy lol
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
THERE IS A BATTLE BETWEEN THE TWO REPLIES DOWN BELOW! WHO WILL GET THE MOST LIKES?
Answer: Ok Good luck other contestant.
In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?
Answer:
Weight before 18 month = 18 pound
Step-by-step explanation:
Given:
Current weight of dog = 14 pound
Weight lose each month = 2/9 pound
Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month
Find:
Weight before 18 month
Computation:
Total weight lose = Weight lose each month x Total number of month
Total weight lose = 2/9 x 18
Total weight lose = 4 pound
Weight before 18 month = Current weight of dog + Total weight lose
Weight before 18 month = 14 + 4
Weight before 18 month = 18 pound
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____
Answer:
a) σ = 4933,64
b) CI 99% = ( - 5746 ; 7194 )
c) No difference in brands
Step-by-step explanation:
Brand 1:
n₁ = 8
x₁ = 38222
s₁ = 4974
Brand 2:
n₂ = 8
x₂ = 37498
s₂ = 4893
As n₁ = n₂ = 8 Small sample we work with t -student table
degree of freedom df = n₁ + n₂ - 2 df = 8 +8 -2 df = 14
CI = 99 % CI = 0,99
From t-student table we find t(c) = 2,624
CI = ( x₁ - x₂ ) ± t(c) * √σ²/n₁ + σ²/n₂
σ² = [( n₁ - 1 ) *s₁² + ( n₂ - 1 ) * s₂² ] / n₁ +n₂ -2
σ² = 7* (4974)² + 7*( 4893)² / 14
σ² = 24340783 σ = 4933,64
√ σ²/n₁ + σ²/n₂ = √ 24340783/8 + 24340783/8
√ σ²/n₁ + σ²/n₂ = 2466
CI 99% = ( x₁ - x₂ ) ± 2,624* 2466
CI 99% = 724 ± 6470
CI 99% = ( - 5746 ; 7194 )
As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups
X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3
Answer: 67.725feet²
Step-by-step explanation:
A heptagon consist of 7 sides and Its area is calculated using the formula
= 1/2 × nsr
n = number of sides = 7
s = side length = 4.3
r = apothem = 4.5
Area = 1/2 × nsr
= 1/2 × 7 × 4.3 × 4.5
= 0.5 × 7 × 4.3 × 4.5
= 67.725feet²
what is the value of 3 in 728.36
The length of arc GJ is equivalent to 26π/3 units.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given is the value of 3 in 728.36.
In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.
Therefore, the digit 3 is at tenths place in the decimal number 728.36.
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can you help me with this question i will give 40 points?