O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
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Nicolas and Jerome are scuba diving. Nicolas is at an elevation of -25 feet compared to the surface of the water. Jerome is at an elevation of -32 feet. Which diver is doser to the surface of the water? How much closer is he compared to the other diver
Answer:
Nicolas is closer to the surface
PLZ TELL ME IF IM WRONG
Answer:
Nicolas is closer to the surface, he is 7 feet closer to the surface than Jerome
Step-by-step explanation:
A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?
Answer:
We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.
Step-by-step explanation:
We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.
A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.
Let \(\mu\) = mean number of movies watched by college students last month.
So, Null Hypothesis, \(H_0\) : \(\mu \geq\) 7.6 movies {means that college students watch higher or equal movies a month than high school students}
Alternate Hypothesis, \(H_A\) : \(\mu\) < 7.6 movies {means that college students watch fewer movies a month than high school students}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) ~ N(0,1)
where, \(\bar X\) = sample mean number of movies watched last month = 7.1
σ = population standard deviation = 0.9
n = sample of college students = 39
So, the test statistics = \(\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }\)
= -3.47
The value of z test statistics is -3.47.
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.
Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that college students watch fewer movies a month than high school students.
I need to know the percentage of drivers who are at least 45. Using the table in the picture.
The percentage of drivers who are at least 45 is 62%
How to determine the percentage of drivers who are at least 45.From the question, we have the following parameters that can be used in our computation:
The table of values
From the table, we have
Age 45 = 62 percentile
When represented properly
So, we have
Age 45 = 62%
This means that the percentage of drivers who are at least 45 is 62%
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You have two chances to draw from a normal pack of 52 playing cards. What is the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace
Answer:
The probability is \(P(k) =0.07843\)
Step-by-step explanation:
From the question we are told that
The total number of cards is n = 52
Generally the number of ace in a standard deck of cards is k = 4
Generally the the first card drawn is not an ace so the remaining number of ace after the first card is drawn is k = 4
also the remaining total number of cards after the first card is drawn is
N = n- 1
=> N = 52 - 1
=> N = 51
Generally the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace is mathematically represented as
\(P(k) =\frac{k}{N}\)
=> \(P(k) =\frac{4}{51}\)
=> \(P(k) =0.07843\)
4. For the 2012 season, the
University of Mbam clamorphose foders football Won mwen ou plisonch. Notional Football
Championship while the Walwers for both teams from an Tido fontball team won the FBS National Championship. Below are the
Weights of the offensive linomen for both teams from that season
Answer:
kdmdmsmskslslslekdjdjdkdkdkdkdjeieieid
Dot Plots and Histograms-Quiz-Level F
Briana is learning to play the guitar. At the end of each week, she records the number of days
she practiced. Her data is shown below.
2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6
OFReady
Which dot plot displays the data distribution?
1
2
2
3
4
Number of Days
3
Number of Days
:
5
6
7
567
0
+
0
1
2
3
4
Number of Days
2
5
...
3
4
Number of Days
5 6
..
The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with
Two dots at 0
One dot at 2
Two dots at 3
Four dots each at 4, 5, and 6
One dot at 7
A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.
The data can be presented as follows;
2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6
The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.
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A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is
Answer:
0.8664
Step-by-step explanation:
I hope it helps, and please give me Brainlest!
x/3 =-8 x=? what does x =?
Answer: -24
Step-by-step explanation:
\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)
Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.
The equation that represents the total cost of the membership will be y = 5x + 265.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.
Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,
y = 5x + 265
The equation that represents the total cost of the membership will be y = 5x + 265.
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Here is a probability scale: 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 If I flip a coin, place a cross on the probability scale to show the probability of getting a head.
Answer:
0.5
Step-by-step explanation:
If you flip a coin, the probability of getting a head is 0.5 or 0.5 on the probability scale.
It is worth noting that when a coin is fair, the probability of getting a head or a tail is always 0.5 or 50%.
So in the probability scale you should place a cross on the point 0.5 which indicates the probability of getting a head.
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
At a deli, you have a choice of turkey, roast beef, or ham on your sandwich and a choice of potato chips or corn chips on the side. What is the probability of getting a ham sandwich and corn chips?
The probability of getting a ham sandwich and corn chips is 1/6.
What is probability ?
In probability theory, probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The probability of getting a ham sandwich and corn chips is the product of the probabilities of getting a ham sandwich and corn chips separately.
Let's assume that the deli has an equal chance of choosing any of the three types of sandwiches and an equal chance of choosing either type of chips. Then, the probability of getting a ham sandwich is 1/3, and the probability of getting corn chips is 1/2.
Therefore, the probability of getting a ham sandwich and corn chips is:
P(ham sandwich and corn chips) = P(ham sandwich) x P(corn chips)
= 1/3 x 1/2
= 1/6
So, the probability of getting a ham sandwich and corn chips is 1/6.
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Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
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is their a simplified way of understanding the proof limit?
Yes, there are several ways to understand the concept of a limit in calculus without going into the details of a formal proof. One way to understand the concept of a limit is to think of it as a way to measure how close a function gets to a particular value as the input to the function gets closer and closer to a certain number. For example, if we have a function f(x) and we want to find the limit of the function as x approaches 2, we can think of this as asking "how close does f(x) get to a certain number as x gets closer and closer to 2?"
Another way to understand the concept of a limit is to think of it as a way to describe the behavior of a function as the input gets very large or very small. For example, if we have a function f(x) and we want to find the limit of the function as x approaches infinity, we can think of this as asking "how does f(x) behave as x gets very large?"
Overall, the concept of a limit is a fundamental concept in calculus that allows us to describe and analyze the behavior of functions as the input to the function changes. While a formal proof of the limit can be quite complex, there are several intuitive ways to understand the concept without going into the details of the proof.
. Charlotte buys two biscuits and a carton of milk for $5.00.
Oliver buys three biscuits and a carton of milk for $6.50.
How much more does a carton of milk cost than a single biscuit?
Answer:
$0.50
Step-by-step explanation:
.
I need help finding
sin B=
?
the options to choose from are
b/a
a/c
b/c
Answer:
the correct answer will be b/c
plz help and get correct for brainiest
n% of 28 is 14 `percentage`
Answer:
The Percentage is 50% because 14 is the half of 28.
Find a formula for the general term of each of the following sequences, assuming that the pattern of the first few given terms continues {0,1,3,7,15.......}
Answer:
0+1=1
1+2=3
3+4=7
7+8=15
A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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Please help :(( A and B are independent events. P(A) =0.50 and P(B)=0.30. What is P(A and B) A. 0.80 B. 0.015 C. 0 D. 0.15
Answer:
0.15
Step-by-step explanation:
For independent events:
P(A and B) = P(A) × P(B)
P(A and B) = 0.50 × 0.30
P(A and B) = 0.15
The P(A and B) is equal to 0.15.
We have given that,
A and B are independent events.
P(A) =0.50 and P(B)=0.30.
What are the independent events?For independent events:
P(A and B) = P(A) × P(B)
Use the given values in the above formula
P(A and B) = 0.50 × 0.30
Simplify the above so we get,
P(A and B) = 0.15
The P(A and B) is equal to 0.15.
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PLEASE HELP!!!!!!
which equation can be used to find the value of x?
A) x+40+60=360
B) x+40+60=180
C) x=60+40
D) x=60-40
PLEASE LOOK AT THE PICTURE!!!!!!
The measure of exterior angle x in the given triangle is 100 degree. Therefore, option C is the correct answer.
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the given triangle, x=60+40
x=100
Therefore, option C is the correct answer.
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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how many sixths are in 7 1/6
All we need to do is turn the mixed number into an improper fraction.
7 1/6 = 43/6
Therefore, there are 43 sixths in 7 1/6.
Best of Luck!
Answer:
43
Step-by-step explanation:
7 1/6 ÷ (1/6) = 43
43 x (1/6) = 7 1/6
Hence, the answer (43) is correct
During a fundraiser, Ms. Dawson’s class raised
$
560
$560, which is
25
%
25% more than Mr. Casey’s class raised.
Mr. Casey’s class raised
$
$
.
Mr. Casey's class raised $448 during the fundraiser.
What much did mr. Casey’s class raised?Percentage is simply number or ratio expressed as a fraction of 100.
Given that, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised.
To determine how much Mr. Casey’s class raised,
We represent the amount raised by Mr. Casey's class as "x".
Since Ms. Dawson's class raised 25% more than Mr. Casey's class.
To calculate 25% more than x, we can multiply x by 1.25
(since 25% is equivalent to 0.25 in decimal form and 100% is 1) and set it equal to $560.
Hence:
1.25x = 560
To solve for x, we divide both sides of the equation by 1.25:
x = 560 / 1.25
x = 448
Therefore, Mr. Casey's class raised $448.
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According to the Census Bureau, 3.34 people reside in the typical American household. A sample of 26 households in Arizona retirement communities showed the mean number of residents per household was 2.70 residents. The standard deviation of this sample was 1.17 residents. At the .10 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.34 persons?
(a) State the null hypothesis and the alternate hypothesis. (Round your answer to 2 decimal places.)
H0: ? ?
H1: ? <
(b)
State the decision rule for .10 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Reject H0 if t <
(c)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Value of the test statistic
(d)
Is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.34 persons?
H0. Mean number of residents less than 3.34 persons.
Answer:
Step-by-step explanation:
Given that:
Mean = 3.34
sample size = 26
sample mean = 2.7
standard deviation = 1.17
level of significance = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:
\(\mathtt{H_o: \mu \geq 3.34} \\ \\ \mathtt{H_1: \mu < 3.34}\)
degree of freedom = n - 1
degree of freedom = 26 -1
degree of freedom = 25
level of significance = 0.10
Since the alternative hypothesis contains <, then the test is left tailed
\(\mathtt{t_{\alpha, df} = t_{0.10, 25}}\)
\(\mathtt{t_{0.10, 25}}\) = - 1.316
The rejection region therefore consist of all values smaller than - 1.316, therefore ; reject \(H_o\) if t < -1.316
The test statistics can be computed as follows:
\(t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)
\(t = \dfrac{2.7 - 3.34}{\dfrac{1.17}{\sqrt{26}}}\)
\(t = \dfrac{-0.64}{\dfrac{1.17}{5.099}}\)
t = - 2.789
Decision Rule: To reject the null hypothesis if the t test lies in the rejection region or less than the rejection region.
Conclusion: We reject the null hypothesis since t = (- 2.789) < -1.316. Then we conclude that the mean number of residents in the retirement community household is less than 3.34 persons.
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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It was cloudy 12 out of 30 days in April. Which value is equivalent to the fraction of
days it was cloudy in April?
Answer:
any of the below:
Step-by-step explanation:
12/30
6/15
2/5
Answer:
2/5, or 40%.
Step-by-step explanation:
Write it as a fraction first, then reduce it to simplest form.
12/30
Simplest form is 2/5, or 40%