Answers
Answer:
60 cm²
Step-by-step explanation:
Just divide the figure in parts and then find their areas separately. At last, find the area of the whole figure by adding the areas of the parts
Related Questions
Simplify the following exponent (x¹⁰ ÷ x²) x x³
Answers
Answer:
x^6
Step-by-step explanation:
Given X¹⁰ ÷ (x² X x³ ÷ x) : Simplify.
We know the law of exponents which states that
a^m x a^n = a^m + n
a^m / a^n = a^m - n
So the problem is x^10 / (x^2 x x^3 / x)
So we have x^10 / x ^5 / x
x ^10 / x ^5 - 1
x^10 / x^4
x ^10 -
x^6
After simplifying we get x^6
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
Answers
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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8.25 equals how many ones?
Answers
Answer:
i think 20.95 centimetres
How many times does the graph of the function below intersect or touch the x-axis y=-x^2+x+6
Answers
The graph of the function forms an upside down “u” and because there are two ends to the function it will intersect the x-axis once on each end
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answers
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
graph h(x)=(x-1)^2-9
Answers
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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Where are the vertices of triangle A’B’C’ located? Show your work or explain your steps. (4points)
Answers
The vertices of ∆A′B′C′ are A′(-6, 5), B′(-6, 8), and C′(-10, 5) upon the application of the translation rule.
What is the translation rule in geometry?
In geometry, a translation is a transformation that moves every point of a figure the same distance in the same direction. In the case of a triangle, a translation rule describes how to move each vertex of the triangle to a new location to create a new triangle with the same size and shape, but in a different position.
A translation rule for a triangle is given by a pair of numbers (a, b), which indicate the amount of horizontal and vertical movement of the vertices. Specifically, the rule is given by the formula:
(x, y) → (x + a, y + b)
This formula means that we move every point in the triangle a unit to the right or left (depending on the sign of a) and b units up or down (depending on the sign of b).
The translation rule (x, y) → (x − 3, y + 4) means that we move every point in the original triangle left by 3 units and up by 4 units. So, the translation is described as a leftward shift of 3 units and an upward shift of 4 units.
To find the vertices of ∆A′B′C′, we apply the translation rule to each vertex of ∆ABC:
Vertex A: (x, y) → (x - 3, y + 4)
(-3, 1) → (-3 - 3, 1 + 4) = (-6, 5)
So, vertex A of ∆A′B′C′ is located at (-6, 5).
Vertex B: (x, y) → (x - 3, y + 4)
(-3, 4) → (-3 - 3, 4 + 4) = (-6, 8)
So, vertex B of ∆A′B′C′ is located at (-6, 8).
Vertex C: (x, y) → (x - 3, y + 4)
(-7, 1) → (-7 - 3, 1 + 4) = (-10, 5)
So, vertex C of ∆A′B′C′ is located at (-10, 5).
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The complete question is as follows:
a balloon is released from the top of a platform that is 50 m tall the balloon Rises at the rate of 4 meters per second identify the input variable output variable initial value and rate of change
Answers
Let's begin by identifying key information given to us:
Height = 50 m
velocity = 4m/s
The input variable is the number of seconds
The output variable is the theight of the ballon
The equation:
\(\begin{gathered} y=4x+50 \\ \text{Comparing this equation with the standard equation,}y=mx+b \\ \Rightarrow m=4,b=50 \\ m=4 \end{gathered}\)Therefore, the rate of change equals 4
How to convert 5 years and 6 months to years
Answers
Answer:
In order to find the answer in years:
5 years and 6 month .
5 year is already in year .just the thing to do is convert 6 month into years..
:6÷12=0.5 years
so the answer is 5.5 years.
:5+0.5=5.5 years
Answer:
5.5 years or 5 1/2 years
Step-by-step explanation:
6 months = 1/2 of a year
Hope I helped!
Tell whether each equation has one, zero, or infinitely many solutions.
If the equation has one solution, solve the equation.
11. 6(x - 1) = 6x-1
10. 4(x-2) - 4x + 10
13. 4x + 5 = 9+ 4x 6.
12. 6n + 7-2n-14 = 5n + 1
15. 40-8x + 12) = -26-32x
14.8(y + 4) = 7y + 38
Answers
Answer:
6x-1=6x-1 infintely many
4x-8=4x+10 no solution
4x+5=4x+15 no sloution
4n-7=5n+1 n=-8
-8x+52=-26-32x 24x=78 x= 3 1/4
8y+32=7y+38 y=6
Hope this helps your spelling/typing is a bit off but mark brainliest :D
some of them are wrong bcuz i dont know the real typing :(
Can someone explain this to me, I keep getting 48?
Answers
Given:
\(\frac{-10+50}{-4-16}-4\cdot(-2)\)\(\frac{-10+50}{-4-16}-4\cdot(-2)=\frac{40}{-20}-4\cdot(-2)_{}\)\(\frac{-10+50}{-4-16}-4\cdot(-2)=-2-4(-2)\)\(\frac{-10+50}{-4-16}-4\cdot(-2)=-2+8\)\(\frac{-10+50}{-4-16}-4\cdot(-2)=6\)Therefore, 6 is the correct answer.
slope of -4,-2 and 2,-5
Answers
Answer:
The slope of a line is a measure of the steepness of the line. It is calculated as the rise (the change in the y-coordinate) divided by the run (the change in the x-coordinate).
To find the slope of a line given two points on that line, you can use the following formula:
slope = (y2 - y1) / (x2 - x1)
If we plug in the coordinates (-4,2) and (2,-5) into this formula, we get:
slope = (-5 - 2) / (2 - (-4))
Simplifying this fraction, we get:
slope = -7 / 6
Simplifying further, we get:
slope = -7/6
So the slope of the line through the points (-4,2) and (2,-5) is -7/6.
Step-by-step explanation:
Comparing the stages in a consumer and organizational purchase decision process reveals key differences. In organizations, becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Multiple Choice O purchase decision O choice variety O supplier audit O performance review O supplier capability
Answers
In organizations, supplier audit becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Hence, the correct answer is option c.
In the organizational purchase decision process, a supplier audit becomes more important compared to the consumer purchase decision process. This is because organizations need to ensure that the supplier they choose meets their standards for quality, reliability, and cost-effectiveness.
The supplier audit helps the organization to evaluate the supplier's capabilities and assess their ability to deliver on their promises.
Furthermore, since organizations often have deadlines and need to maintain quality control, a supplier audit is important for ensuring that the supplier is able to deliver the goods or services on time and to the required standard.
Since organizations anticipate a long-term relationship with their suppliers, a supplier audit helps to build trust and ensure that the supplier will be able to meet their needs for the long term.
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Anu was checking her emails she casually told her friend siting next to her the ratio of unread emails in my inbox is 4:1 The total number of emails is 120 what is the number of unread emails in her inbox
Answers
In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120 then the number of unread emails in her inbox is 96mails.
How can the unread mails be calculated?The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
The total mails in her box is 120
The we can represent the unread mails as 4x and read mails be 1x
This can be expressed as :
(4x+1x)=120mails
5x=120mails
x=120/5
x=24
This implies that the uread mails(4×24)
=96mails
Then the number of the read mail =(1×24)=24mails
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A square-shaped warehouse has a floor area of 12,769 square feet. The length of one of the walls is ___ feet.
Select one:
a. 100
b. 23.37
c. 127.69
d. 113
e. none of these
Answers
Answer:
113 (d)
Step-by-step explanation:
Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer is D.
Help please asap will mark brainliest!!!
Answers
Answer:
it is 6
Step-by-step explanation:
its a reverse diamond
A rowing team rowed 60 miles while going with the current in the same amount of time as it took to row 30 miles going against the current. The rate of the current was 3 miles per hour. Find the rate of the rowing team in still water.
Rate of the team in still water: miles/hours
Answers
Answer:
9 miles/hour
Step-by-step explanation:
The relation between time, speed, and distance can be used to write an equation for the team's rowing speed.
SetupLet s represent the team's rowing speed in still water. Then the downstream speed is (s+3) and the upstream speed is (s-3). The travel times over the given distances are the same, so we have ...
time = distance/speed
60/(s+3) = 30/(s-3)
SolutionMultiplying by (s-3)(s+3)/30, we have ...
2(s -3) = (s +3)
s = 9 . . . . . . . . . add 6-s to both sides
The team's rowing speed in still water is 9 miles per hour.
When finding the area of a parallelogram, you should:
Answers
Find two consecutive natural numbers whose sum is 53
Help As soon as possible
Answers
Answer: The consecutive numbers 26 & 27
Step-by-step explanation:
x+x+1=53
2x+1=53
2x=52
x=26
x+1=27
The Better Business Bureau of San Diego states that the standard hotel room average price for a Saturday night stay is $165, but you think it is higher. You go out and take a random sample of 33 hotels and get an average price of $181 with a sample standard deviation of $25. The test statistic is ______________. Round your answer to three decimal places.
Answers
Answer:
3.677
Step-by-step explanation:
We have the following information to answer this question
X = 181 = average price
U = 165 = price
S = 25 = standard deviation
N = 33 = random sample
We use the formula below to calculate the t statistics
T = x-u/s/√n
When we input these values
181-165/25/√33
T = 3.677
Therefore for this question, the test statistic t is equal to 3.677 to 3 decimal places
Suppose you have a $3-off coupon at a fabric store. You buy fabric that costs $9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Answers
A group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study (Links to an external site.) was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Let u be the mean number of alcoholic beverages that students in the college drink in a typical week. State the hypotheses that are being tested in this problem.
Answers
Answer:
Null Hypothesis, \(H_0\) : \(\mu\) = 4.73
Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 4.73
Step-by-step explanation:
We are given that a group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week.
In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Let \(\mu\) = mean number of alcoholic beverages that students in the college drink in a typical week.
So, Null Hypothesis, \(H_0\) : \(\mu\) = 4.73 {means that the mean number of alcoholic drinks that students at his college have in a typical week does not differs from the mean of U.S. college students in general}
Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 4.73 {means that the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general}
The test statistics that can be used here is One-sample t test statistics or One-sample z test statistics depending on whether population standard deviation is given or not.
Hence, this is the hypothesis that are being tested in this problem.
The average profit/loss of a company (in thousands of dollars) was documented for 30 months. The 5th month showed a loss of $3000, however the 25th month
showed a profit of $5000. Assuming the profitloss is linear, write the equation of the line, in slope-intercept form, that represents the profit/loss for each month x. Use
this result to predict the profit/loss after 60 months
Hint: Use the ordered pairs (5. - 3) and (25,5).
2
The equation of the line in slope-intercept form is y= 5x -5.
(Type an equation using x and y as the variable. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
..There would be a of safter 60 months
Answers
Answer:
Step-by-step explanation: slope is (9-(-3))/(25-5)
12/20=0.6
point slope formula y-y1=m(x-x1), m slope (x1, y1) point
y-9=0.6(x-25)
y=0.6x-15+9
y=0.6x-6, x months and y profit.
for 60 months, y=0.6*60-6 or 36-6=$30000 profit
balance the equation showing all 6 steps. 200=g-180
Answers
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
Alex’s sink was leaking, he put a cup under the leak and 1 1/2 hours later the cup was filled 1/4 of the way. How much would be filled in an hour
Answers
Answer:
11/8 or 1.375
Step-by-step explanation:
if their asking you would take the 11/2 and divided it by 1/4 then you get 1.375 but in a fraction form it would be 11/8
i hope this helps
Is 5p+5c and 5(p+c) equivalent?
Answers
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Answers
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answers
Answer:
3
Step-by-step explanation:
the y axis
A bag contains 5 red and 3 bluearble. Two marbles are drawn simultaneously from the bag. DETERMINE the probability that at least one is red.
Answers
Answer:
5/8
Step-by-step explanation:
Select the correct answer.
Which graph represents the solutions to this equation?
x2 + 8x = -20
(as a graph pls!)
Answers
Answer:
Step-by-step explanation:
