Answers
Given,
The diameter of the circle is 18 feet.
The measure of the arc is 30 degree.
Required:
The area of the sector.
The radius of the circle is calculated as:
\(\begin{gathered} Radius\text{ =}\frac{diameter}{2} \\ Radius\text{ =}\frac{18}{2} \\ Rad\imaginaryI us=9\text{ feet} \end{gathered}\)The area of the sector of the circle is calculated as:
\(Area\text{ =}\frac{\theta}{360^{\circ}}\times2\pi(radius)\)Substituting the values then,
\(\begin{gathered} Area\text{ =}\frac{30^{\circ}}{360^{\circ}}\times2\times\frac{22}{7}\times9 \\ =\frac{3}{36}\times\frac{44}{7}\times9 \\ =\frac{1}{4}\times\frac{44}{7}\times3 \\ =\frac{11}{7}\times3 \\ =\frac{33}{7}\text{ feet}^2 \end{gathered}\)Hence, the area of the sector is 33/7 square feet.
Related Questions
Please it’s due today I need help ASAP
Answers
PLEASE HELP ME OUT AND NOT LET A BOT ANSWER THIS :(
Answers
Answer: There is no such thing. All number have to be rational or irrational
I NEED HELP WITH STATISTICS
Answers
A. The null hypothesis H₀ and the alternative hypothesis H₁ are:
H₀: μ = 35 minutes H₁: μ > 35 minutes
B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.
C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.
What is a Type II error?A Type II error occurs when the null hypothesis is false, but the test does not reject it.
In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.
Find more exercises on Type II error;
https://brainly.com/question/29689920
#SPJ1
I want to buy a new sofa from the store. I open a savings account with $700
and save up another $50 weekly. I need to save
a minimum of $1,200 to buy the sofa. Write an
inequality to represent this situation.
Answers
Answer:
700 + 50x ≥ 1200
where x represents the number of weeks needed to save.
Step-by-step explanation:
Check the picture below.
whatever those savings are on week "x", they have to be at least $1200
700 + 50x ⩾ 1200
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answers
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
For the following questions, use 22, 24, 20, 18, 19, 18, 22, 25, 21. Round any decimal
numbers to the hundredths place.
1. Find the mean.
2. Find the median.
Answers
The can find the mean by adding all the numbers up in this case “18, 18, 19, 20, 21, 22, 22, 24, 25” and dividing it by how many numbers there were in total. (aka 9 in this set of numbers.) so, you would do 189 divided by 9 to get 21. (the mean is the arithmetic average.)
2. The median is 21.
to find the median you list the numbers from least to greatest, “18, 18, 19, 20, 21, 22, 22, 24, 25” count how many numbers there are in total (9) and then look for which number is in the middle (aka the 5th number) which was 21.
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answers
Answer:
Step-by-step explanation:
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2 1/3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answers
Answer:
about 27.42
Step-by-step explanation:
f(t) = 0.25t2 − 0.5t + 3.5
Answers
The resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively
Function and valuesFunctions are expressions in form of variables. Given the following quadratic equation expressed as:
f(t) = 0.25t^2 − 0.5t + 3.5
We can find the equivalent value of the function when the value of t a re 2 and 6.
If the value of t is 2. hence;
f(2) = 0.25(2)^2 − 0.5(2) + 3.5
f(2) = 1 - 1 + 3.5
f(2) = 3.5
If the value of t is 6, hence;
f(6) = 0.25(6)^2 − 0.5(6) + 3.5
f(6) = 9 - 3 + 3.5
f(6) = 6.5
Hence the resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively
Learn more on functions and values here: https://brainly.com/question/2284360
#SPJ1
What is 4 percent of 74 ?
Answers
Answer:
4 percent of 74 is 2.96
Answer:2.96
Step-by-step explanation:
Tell whether x and y show direct variation, inversevariation, or neither. Explain your reasoning.X 24.68y -5 -11 -17 -23The products xy areThe ratios Y areХSo, X and y show
Answers
Neither
1) Firstly, we can start filling in the blanks.
2) The products xy are:
\(xy=-10,-44,-102,-184\)We're simply multiplying each x-entry by its output y.
The ratios y/x are:
\(\frac{y}{x}=-\frac{5}{2},-\frac{11}{4},-\frac{17}{6},-\frac{23}{8}\)So, x and y show:
Note that xy is not constant, for their product differs. So it is not an
inverse variation.
On the other hand, y/x is not constant as well. So it is not a direct variation.
3) Hence, it's neither direct nor inverse.
Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.36, the probability that "she's up all night for good fun" is 0.41, and the probability that "she's up all night 'til the sun" is 0.36, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"?
Answers
Answer:
0.41
Step-by-step explanation:
S = "she's up all night 'til the sun"
F = "she's up all night for good fun"
P(S or F) = P(S) + P(F) − P(S and F)
0.36 = 0.36 + 0.41 − P(S and F)
P(S and F) = 0.41
3x^2-4=8 ....... Solve the following equation by taking square roots! PLZ SHOW WORK ASAP TY!
Answers
Answer:
x = ±2
Step-by-step explanation:
3x^2-4=8
Add 4 to each side
3x^2-4+4=8+4
3x^2 = 12
Divide by 3
3x^2 /3 = 12/3
x^2 = 4
Take the square root of each side
sqrt(x^2) = ±sqrt(4)
x = ±2
Answer:
\(x=\± 2\)
Step-by-step explanation:
\(3x^2-4=8\)
\(3x^2-4+4=8+4\)
\(3x^2=12\)
\(\displaystyle \frac{3x^2}{3}=\frac{12}{3}\)
\(x^2=4\)
\(x=\± \sqrt{4}\)
\(x=\± 2\)
Use the number line to solve (-1)-(-2)=
Answers
Answer:
-1 is the answer , your welcome haha
Solve for x. 5(22−x)=40 Enter your answer in the box. x =
Answers
Answer:
x = 14
Step-by-step explanation:
5(22-x)=40
5(22-14)=40
5(22)=110 5(-14)=-70
110-70=40
Answer:
14
Step-by-step explanation:
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
Answers
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
For more such questions on relative frequency visit:
https://brainly.com/question/3857836
#SPJ8
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.
Answers
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.
For more such question on cost. visit :
https://brainly.com/question/2292799
#SPJ8
8TH GRADE MATH: what is the distance from the store to the park? ‼️PLS ANSWER ASAP i’ll give any amount of points❕
Answers
Answer:
Step-by-step explanation:
assuming that every square is 1 unit, the distance from the store to home should be 5 units, I hope this helped
9 - 3 ÷ 1/3 + 1 = ?
whats the answer?
Answers
The answer is 1
Step-by-step explanation:
Someone please help answer !
Choose the number that is closest to the mean of the distribution
Answers
The mean of the distribution is 3
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
According to the first graph,
Given the bar of observations as :
0, 5, 6, 3, 1, 1, 3, 6, 4, 1
Here the Sum of Observations = 30
And the total number of observations = 10
The mean of the distribution = 30/10
The mean of the distribution = 3
According to the second graph,
Given the bar of observations as :
0, 1, 3, 3, 9, 0, 9, 4, 4, 1
Here the Sum of Observations = 34
And the total number of observations = 10
The mean of the distribution = 34/10
The mean of the distribution = 3.4
The mean of the distribution = 4 (closest)
Learn more about Arithmetic means here:
brainly.com/question/13000783
#SPJ1
I will give brainliest! 2(6x+3)
Answers
Answer: 12x+6
Step-by-step explanation:
distributive property
Answer:
=12x + 6
Step-by-step explanation:
Devon pays $8.16 for 12 pounds of sugar. What is the price for 10
pounds of sugar
Answers
Answer:
$6.80
Step-by-step explanation:
$8.16 ÷ 12 = $0.68
$0.68 x 10 = $6.80
7. Which is the function that describes the table below?
Answers
Answer:
There is no such function
Step-by-step explanation:
They are all different functions
Solve the system by graphing. Solve for y. Show all work.
-5x+y=-2
-3x+6y=-12
Step by step please
Answers
Which equation represents the total number of black and white squares on the chess board?
Answers
The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32
How to determine the equation of the black and white squaresFrom the question, we have the following parameters that can be used in our computation:
The chess board
From the chess board, we have
Black squares = 32
White squares = 32
When factorized, we have
Black squares = 32 = 8 * 2²
White squared = 32 = 8 * 2²
Hence, the equation that represents the squares on the chess board is 8 * 2² = 32
Read more about equation at
https://brainly.com/question/148035
#SPJ1
Mike bakes 24 cookies for some friends. He gives the same number of cookies to 2 friends. How many cookies c does each friend receive? Write an equation to represent the number of cookies each friend receives.
Answers
Answer:
12 cookies for both friends (assuming you don't get any)
Step-by-step explanation:
24/2=12
since you seem like a kid, that slash means divided by
) A jar contains 4 white balls and 6 black balls. A ball is chosen at random, and its color noted. The ball is then replaced, along with 3 more balls of the same color. Then, another ball is drawn at random from the jar. (a) Find the chance that the second ball drawn is white. (b) Given that the second ball drawn is white, what is the probability that the first ball drawn is black
Answers
Answer:
The answer is "\(\bold{\frac{2}{5}\ \ and \ \ \frac{6}{13}}\)".
Step-by-step explanation:
You have 4/10 opportunities to choose a white ball, and there'll be 7 white balls and 6 black balls out of 13, and so the second time they choose a white one is 7/13, as well as the second time they choose a black, 6/13. people will also have a 4/10 chance.
There are 6/10 chances which users pick its black ball and 4 white balls would still be picked, but 9 black balls and out 13 balls and thus, its second and third time you select the white one is 4/13 but you are likely to pick a black for the second time is 9/13.
Taking the diagram of the next tree. The very first draw is marked with a and the second draw is marked with b.
\(\to P(a) = \frac{4}{10}\ \ \ \ \ \ \ \ \ P(b) = \frac{6}{10}\\\\\to P(\frac{a2}{a1}) = \frac{7}{13} \ \ \ \ \ \ \ \ \ \ P(\frac{a}{b}) = \frac{4}{13}\\\\\to P(\frac{b2}{a1}) = \frac{6}{13} \ \ \ \ \ \ \ \ \ \ P(\frac{b2}{b1}) = \frac{9}{13}\)
Calculating the second drawn ball is white:
\(\to P(b2)=P(a)P(\frac{a2}{b1})+P(b)P(\frac{a}{b})\\\)
\(=\frac{4}{10}\frac{7}{13}+\frac{6}{10}\frac{4}{13}\\\\=\frac{28}{130}+\frac{24}{130}\\\\=\frac{28+24}{130}\\\\=\frac{52}{130}\\\\=\frac{2}{5}\\\\\)
In point b:
\(\to P(\frac{b}{a1})= \frac{P(B)P(\frac{a}{b})}{P(a)P(\frac{a2}{b1})+P(b)P(\frac{a}{b})\\}\)
\(=\frac{\frac{6}{10} \frac{4}{13}}{\frac{52}{130}}\\\\=\frac{\frac{24}{130}}{\frac{52}{130}}\\\\=\frac{24}{130} \times \frac{130}{52}\\\\=\frac{24}{52}\\\\=\frac{6}{13}\\\)
Question 9 What are the disadvantages of using a histogram instead of a dot plot?
Answers
Answer:
A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.
Step-by-step explanation:
Plato sample answer
In 1994, the moose population in a park was measured to be 4930. By 1999, the population was measured again to be 6180. If the population continues to change linearly: A.) Find a formula for the moose population, P, in terms of t, the years since 1990. P(t) B.) What does your model predict the moose population to be in 2006?
Answers
We define the following variables for our problem:
P = population of mooses
t = number of years since 1990
m = growth ratio
In terms of the variables that we defined above and the fact that the population of moose in terms of the year is linear, we have the following equation:
\(P(t)=m\cdot t+P_0\)Now, we use the data of the problem:
1) In 1994 the moose population was 4930, so we have:
\(\begin{gathered} t=1994-1990=4 \\ P(4)=4930 \end{gathered}\)2) In 1999 the moose population was 6180, so we have:
\(\begin{gathered} t=1999-1990=9 \\ P(9)=6180 \end{gathered}\)Now, using the data above and the equation for P(t) we construct the following system of equations:
\(\begin{gathered} P(4)=m\cdot4+P_0=4930 \\ P(9)=m\cdot9+P_0=6180 \end{gathered}\)We solve the system of equations.
First, we solve the equations for P0:
\(\begin{gathered} P_0=4930-4m \\ P_0=6180-9m \end{gathered}\)Now, because the right-hand-side of both equations is equal to P0, we equal them and then we solve for the variable m:
\(\begin{gathered} 4930-4m=6180-9m \\ 9m-4m=6180-4930 \\ 5m=1250 \\ m=250 \end{gathered}\)Finally, we replace the value of m in one of the equations of P0 and solve for it:
\(\begin{gathered} P_0=4930-4\cdot m \\ P_0=4930-4\cdot250 \\ P_0=3930 \end{gathered}\)A) The formula for the moose population, P, in terms of t, the years since 1990 is:
\(P(t)=250t+3930\)B) We want to know the value of the moose population in 2006.
First, we compute the value of t:
\(t=2006-1990=16\)Now, we replace the value of t in the equation of P(t) above:
\(P(6)=250\cdot16+3930=7930\)Answer: 7930
Matt needs a new pair of jeans. A pair of Levi's jeans costs $75.00. The store is having a
fall sale where all jeans are 40% off. What is the discount? What will Matt end up paying
for the jeans? SHOW ALL OF YOUR WORK.
Answers
Answer:
$5.4375. my guy hope this help :.(
Step-by-step explanation: