Answer:
43.96 for circumference
153.86 for area
Step-by-step explanation:
use the fomrulas
12 times 1/8 how do you cross multiply this
Answer:
12/1 times 1/8 = 1.5
Step-by-step explanation:
You multiply 12 by 1 to get 12, then divide 12 by 8 to get 1.5
What is the image of (-6,0) after a reflection over the line y = -x?
Answer:
The image of (-6,0) after a reflection over the line y = -x is (0,6)
Step-by-step explanation:
Here, we want to reflect the given point over the given line
Mathematically, by reflecting a point over the given line, we have the coordinates change as;
(x,y) to (-y,-x)
So, we have;
(-6,0) to (0,6)
A
circle has a circumference of 12. It has an arc of length 11.
What is the central angle of the arc, in degrees?
Answer:
330°
Step-by-step explanation:
angle subtended=11×360/12=11×30=330°
What is the first time after 1 PM at which the inute hand and hour hand of a clock point in exactly opposite directions?
Answer:
9 : 30
Step-by-step explanation:
1 PM - 1 hour = 12 PM
12 PM - 2 hours = 10 PM
10 PM - 20 minutes = 9 : 40
9 : 40 PM - 10 minutes = 9 : 30 PM
So, it is 9 : 30 PM
3. Javier's team made 3 out of 5 penalty kicks.
What percent did they make?
Answer:
60%
Step-by-step explanation:
3 divided by 5 is 0.6
Multiply this by 100 to get the percent and you will end ups with 60%
Hopes this helps please mark brainliest
Suppose two equally strong tennis players play against each other until one player wins three games in a row. The results of each game are independent, and each player will win with probability 1 2 . What is the expected value of the number of games they will play?
The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.
Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.
The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.
To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.
We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.
Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.
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If a hypothesis test is significant at level α = 0.05, then what is known for the P-value?P-value > 0.01P-value ≤ 0.05P-value ≤ 0.01P-value > 0.05
If a hypothesis test is significant at level α = 0.05, then the P-value is less than or equal to 0.05 or P-value ≤ 0.05.
The P-value is a measure of the strength of the evidence against the null hypothesis. It is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. If the P-value is less than or equal to the significance level α, it means that the observed evidence is unlikely to have occurred by chance under the null hypothesis, and we can reject the null hypothesis in favor of the alternative hypothesis.
For example, if the P-value of a hypothesis test is 0.03, it means that there is a 3% chance of obtaining the observed test statistic (or a more extreme one) if the null hypothesis is true. Since this is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.
Hence, if a hypothesis test is significant at level α = 0.05, then P-value ≤ 0.05.
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The bends on a track for car racing are semicircular and the track is banked at an angle of 28
0
to the horizontal. Suppose the radius of the curvature of the bends is 120 m. a) At what speed can a racing car and a driver of mass 800 kg take these bends even when there is no friction between the car and the track? b) If the car speed is twice of that in (a). (i) draw the free-body diagram of the car (ii) Find the value of the frictional force f.
The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.
a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).
(i) The free-body diagram of the car is as shown below;
(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.
Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.
Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.
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when a certain unfair die is rolled, an even number is times as likely to appear as an odd number. the die is rolled twice. what is the probability that the sum of the numbers rolled is even?
The probability that the sum of the numbers rolled on the dice is even =1/2.
What is referred as probability?A probability is a measure of the magnitude of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages including several from 0% to 100% can be used to describe probabilities.For the given question,
A fair dice is rolled twice.
Six different results are available with a single roll of the dice (1,2,3,4,5,6)
Therefore, if two dice are rolled, there are a total of 36 possible results, or 6².
Sample space for the sum of even = [(1,1), (1,3), (1,5), (2,2), (2, 4),(2,6), (3, 1), (3,3),(3,5),(4,2),(4,4),(4,6), (5, 1), (5,3),(5,5),(6,2),(6,4),(6,6)]
Total sample space for sum of even = 18
For the probability that the sum of the numbers rolled is even is -
probability (sum is even) = 18 / 36 = 1/2
Thus, the probability that the sum of the numbers rolled is even is 1/2.
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if the value stated by a null hypothesis is ______ the confidence interval, then the decision would have likely been to retain the null hypothesis.
If the value stated by a null hypothesis is within the confidence interval, then the decision would have likely been to retain the null hypothesis.
In hypothesis testing, the null hypothesis represents the default assumption or the claim that there is no significant difference or relationship between variables. The confidence interval, on the other hand, provides a range of plausible values for the population parameter based on sample data. If the value stated by the null hypothesis falls within the confidence interval, it means that the null hypothesis value is considered plausible or consistent with the observed data.
In this case, there is insufficient evidence to reject the null hypothesis, and the decision would be to retain it. On the other hand, if the null hypothesis value is outside the confidence interval, it suggests that the null hypothesis is unlikely, and the decision would be to reject it in favor of an alternative hypothesis.
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U.S. Treasury Bond
Junk Bond
Certificate of Deposit
$3,500
$1,300
$4,200
O Portfolio 1, portfolio 3, portfolio 2
O Portfolio 2, portfolio 1, portfolio 3
$5,500
O Portfolio 2, portfolio 3, portfolio 1
$1,200
$3,000
$600
$600
Which of the following shows the portfolios' levels of risk from lowest to highest?
O Portfolio 3, portfolio 2, portfolio 1
$1,100
$500
$1,700
Based on the results, the comparison of the overall performance of the portfolios, from best to worst, is: from "Portfolio 1, Portfolio 2, Portfolio 3". Therefore, the Option C is correct.
We have,
To calculate the weighted mean of the RORs for each portfolio, we need to multiply each ROR by its corresponding investment amount, sum the products, and divide by the total investment amount:
Weighted mean ROR for Portfolio 1:
= ((3.9% x $1,250) + (1.7% x $575) + (10.6% x $895) + (-3.2% x $800) + (8.1% x $1,775)) / ($1,250 + $575 + $895 + $800 + $1,775)
= 5.12%
Weighted mean ROR for Portfolio 2:
= ((3.9% x $950) + (1.7% x $2,025) + (10.6% x $1,185) + (-3.2% x $445) + (8.1% x $625)) / ($950 + $2,025 + $1,185 + $445 + $625)
= 0.04464053537
= 4.46%
Weighted mean ROR for Portfolio 3:
= ((3.9% x $900) + (1.7% x $2,350) + (10.6% x $310) + (-3.2% x $1,600) + (8.1% x $2,780)) / ($900 + $2,350 + $310 + $1,600 + $2,780)
= 0.03550251889
= 3.55%
Based on the results, the comparison of the overall performance of the portfolios, from best to worst, is: from "Portfolio 1, Portfolio 2, Portfolio 3". Therefore, the Option C is correct.
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complete question:
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
A)Portfolio 1, Portfolio 3, Portfolio 2
B) Portfolio 2, Portfolio 3, Portfolio 1
C) Portfolio 1, Portfolio 2, Portfolio 3
D) Portfolio 3, Portfolio 2, Portfolio 1
Gerri says that if a number is a multiple of 9 it is also a multiple of 3.Do you agree? Explain.
a $12$-slice pizza was made with only pepperoni and mushroom toppings, and every slice has at least one topping. only six slices have pepperoni, and exactly ten slices have mushrooms. how many slices have both pepperoni and mushrooms?
The terms with "x" cancel out, and we're left with:
0 = 12
6 + 10 + x + (12 - (6 + 10 + x)) = 12
Simplifying the equation, we have:
16 + x - (16 + x) = 12
The terms with "x" cancel out, and we're left with:
0 = 12
Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.
Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:
Slices with only pepperoni: 6 slices
Slices with only mushrooms: 10 slices
Slices with both pepperoni and mushrooms: $x$ slices
Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices
We know that the total number of slices is 12, so we can write an equation:
6 + 10 + x + (12 - (6 + 10 + x)) = 12
Simplifying the equation, we have:
16 + x - (16 + x) = 12
The terms with "x" cancel out, and we're left with:
0 = 12
This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.
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Help me out with this question please
A sample of 1300 computer chips revealed that 46% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that 49% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim
The p-value (0.0251) is greater than the significance level (0.02), we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 level to dispute the company's claim.
To determine if there is sufficient evidence to dispute the company's claim, we can set up the following hypotheses:
Null hypothesis (H₀): The proportion of chips that fail in the first 1000 hours is equal to 49%.
Alternative hypothesis (H₁): The proportion of chips that fail in the first 1000 hours is not equal to 49%.
In symbols:
H₀: p = 0.49
H₁: p ≠ 0.49
Where:
p represents the true proportion of chips that fail in the first 1000 hours.
The significance level is given as 0.02, which means we want to test the hypotheses at a 2% level of significance.
Now, let's perform a hypothesis test using the provided sample data.
Given that the sample size is 1300 and the proportion of chips that fail in the first 1000 hours is found to be 46%, we can calculate the test statistic and p-value using the binomial distribution.
The test statistic follows an approximate standard normal distribution when the sample size is large. To calculate the test statistic, we need to compute the standard error (SE) of the sample proportion:
SE = √((p * (1 - p)) / n)
where n is the sample size.
SE = √((0.49 * (1 - 0.49)) / 1300)
≈ 0.0134
We can now calculate the test statistic (Z-score):
Z = (p sample - p) / SE
where p sample is the sample proportion and p is the proportion specified in the null hypothesis.
Z = (0.46 - 0.49) / 0.0134
≈ -2.2388
Using the standard normal distribution table or a statistical calculator, we find that the p-value corresponding to Z = -2.2388 is approximately 0.0251 (two-tailed test).
Since the p-value (0.0251) is greater than the significance level (0.02), we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 level to dispute the company's claim.
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The complete question is:
A sample of 1300 computer chips revealed that 46% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that 49% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim? State the null and alternative hypotheses for the above scenario.
In a student council election Kyle receives 120 votes for president. If Kyle receives 60% of the votes, how many students vote in the election?
Answer:
200 students vote in the election
Step-by-step explanation:
We know
120 votes = 60%
1% = 2 votes
To find how many students vote in the election, we take
2 x 100 = 200 votes
So, 200 students vote in the election
Will switching points when calculating distance affect the final answer? Explain.
A. Switching points when calculating distance will affect the final answer because the formula adds the differences oft
corresponding x-and y-values.
B. Switching points when calculating distance will not affect the final answer because the formula squares the differenc
corresponding X-and y-values.
C. Switching points when calculating distance will affect the final answer because the formula finds the differences of th
corresponding x-and y-values
D. Switching points when calculating distance will not affect the final answer because the formula adds the differences
corresponding X-and y-values.
Answer:
I think it's B or C but I'm not sure cuz I'm struggling with this question also
help with number 4 plz i’ll give brainliest
Answer:
C
Step-by-step explanation:
the square root of 89 is about 9.4 and, on this graph, 9.4 is at about C
Hope this helps you :)
15)A customer wants to put in a concrete driveway that is 10"" thick. How much concrete would it take to pour a driveway that measures 18’ by 42’? Express your answer in cubic yards
It would take approximately 28 cubic yards of concrete to pour the driveway. To calculate the volume of concrete needed for a driveway with , we need to convert the measurements to yards.
Given:
Thickness of the driveway = 10 inches
Length of the driveway = 18 feet
Width of the driveway = 42 feet
Convert the dimensions to the same unit:
Length of the driveway = 18 feet = 18 * 12 inches = 216 inches
Width of the driveway = 42 feet = 42 * 12 inches = 504 inches
Thickness of the driveway = 10 inches
Calculate the volume of the driveway:
Volume = Length * Width * Thickness
Volume = 216 inches * 504 inches * 10 inches
Convert the volume to cubic yards:
Since 1 cubic yard is equal to 27 cubic feet, we divide the volume by 27 to get the result in cubic yards:
Volume (in cubic yards) = (216 inches * 504 inches * 10 inches) / (12 inches * 12 inches * 27)
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Which of the following intervals corresponds to the smallest area under a Normal curve?
a. Q1 to Q3
b. μ to μ + 3σ
c. Q1 to μ + 2σ
d. μ - σ to Q3
The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve.
The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable whose distribution converges to a normal distribution as the number of samples increases. Therefore, physical quantities that are expected to be the sum of many independent processes, such as measurement errors, often have distributions that are nearly normal.
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A caterer needs to buy 21 pounds of pasta to cater a wedding. At a store, 8 pounds of pasta cost $12. Hom much will the caterer pay for the pasta here?
All I know is how to find the unit rate but I can't figure that out.
Answer:
$31.50
Step-by-step explanation:
First you need to find out how much a single pound costs($12/8 lbs). That ends up equaling $1.50, so multiply that by 21 and you got the answer. :)
Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
6 for one CD and 5 for one DVD
Step-by-step explanation:
A construction worker is placing rivets in a new bridge. He uses 42 rivets to build the first 32 feet of the bridge. If the bridge is to be 2200 feet in length, predict the number of rivets that will be needed for the entire bridge.
Answer:
42 rivets=32ft of the bridge
1 ft of the bridge =42/32 rivets
2200 ft of the bridge =42/32×2200=2887.5
2887 and half
rivets that will be needed for the entire bridge.
PLEASE NO SPAM!!!! I REALLY NEED HELP
Answer:
I'm not sure.
Step-by-step explanation:
how many prime numbers are there between 30 and 50
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. To find out how many prime numbers there are between 30 and 50, we need to check each of the numbers from 30 to 50 to see if it is a prime number.
A prime number is a number that is only divisible by 1 and itself. The prime numbers between 30 and 50 are: 31, 37, 41, 43, and 47.
Therefore, there are 5 prime numbers between 30 and 50.
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HELLPPPP LIKE ASAP PLEASE!! Each of these numbers represents the score that a student got on a set of math tests. What is the median of this set of data?
86, 72, 65, 82, 91, 94
NO LINKS!
Answer:
81.66 repeating
Step-by-step explanation:
86+72+65+82+91+94=490
490÷6=81.66 repeating
EDIT: this answer is false
which equation represents this number sentence? the product of 10 and a number is 3 less than the number
Step-by-step explanation:
According to the question,
~The product of 10 and a number is 3 less than the number.
Let us suppose the number as n. Writing it in the form of an equation,
→ 10 × Number = Number - 3
→ 10n = n - 3
Option B ✓
\( \rule{200}2 \)
Matthew is shrinking
a photograph picture
with an area of 8
square inches on the
computer. He plans
to reduce the area by
25%. What will be the
area in square inches
of the reduced
photograph?
a) write set c = {north america, south america, europe, asia, australia, africa, antarctica} in set-builder notation. b) write, in words, how you would read set c in set-builder notation.
Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.
What is set ?
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines,etc.
a) The set c = {north america, south america, europe, asia, australia, africa, antarctica} can be written in set-builder notation as:
c = {x | x is a continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}
b) The set-builder notation can be read as "the set c, such that x is a continent and x is an element of the set {north america, south america, europe, asia, australia, africa, antarctica}".
Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.
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if 4 books cost $52, how much will 2 books cost?
Answer: 2 books would cost $26.
Step-by-step explanation:
4 books : $52 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.
2 books : $26