Answer:
22
Step-by-step explanation:
A= 1/2 bh
A= 1/2 4x5 1/2
A= 2x 5 1/2
11x2=22
Answer:
A. 22 in²Step-by-step explanation:
A = bh/2Given
b = 8 inh = 5 1/2 in= 11/2 inArea is:
A = (1/2)(8)(11/2) = 22 in²Correct choice is A
Write a ratio and a percent for the shaded area.
6/100 - 60%
6/10 - 60%
12/20 - 60%
36/100 - 36%
2. Amira recorded the heights of 30 of her classmates in centimetres. 140 150 144 143 156 157 144 168 165 133 149 170 162 161 149 155 170 177 171 155 161 156 134 172 147 151 168 156 155 159 Complete the grouped frequency table for jer data
To create this table, we group the heights into intervals of 10 cm.
Count the number of heights that fall into each interval and record the frequencies accordingly.
To create a grouped frequency table for Amira's classmates' heights, we need to determine the range of the data and decide on the width of each group interval.
Let's assume we want to use a group interval width of 10.
Here is the completed grouped frequency table for the given data:
Height Range (cm) Frequency
130 - 139 1
140 - 149 7
150 - 159 8
160 - 169 7
170 - 179 6
To create this table, we group the heights into intervals of 10 cm.
Count the number of heights that fall into each interval and record the frequencies accordingly.
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Expand the given logarithm and simplify. Assume when necessary that all quantities represent positive real numbers. Be sure to factor out any common factors in your final answer.
log5(125/ x^{2}-576)
Answer:
ok you deleted my other answer
Step-by-step explanation:
im just finishing this challenge and you are the last question i need to answer
the proposals are independent, which one(s) should she select at MARR =15.5% per year? 2. If the proposals are mutually exclusive, which one should she select at MARR =10% per year? 3. If the proposals are mutually exclusive, which one should she select at MARR =14% per year?
To determine which proposal(s) to select, we need to compare the present worth or net present value (NPV) of each proposal. The NPV represents the difference between the present value of cash inflows and outflows for each proposal.
For independent proposals at MARR = 15.5% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 15.5%.
Select the proposal(s) with a positive NPV. Positive NPV indicates that the project's expected cash inflows exceed the initial investment and the MARR.
For mutually exclusive proposals at MARR = 10% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 10%.
Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.
For mutually exclusive proposals at MARR = 14% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 14%.
Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.
It's important to note that the specific details of the proposals, including cash inflows, outflows, and timing, are needed to calculate the NPV accurately. Without this information, it is not possible to provide a definitive answer.
Which of the following is equivalent to y + 8 = –3(x – 1)?
Answer:
Graph in the image above
Step-by-step explanation:
5^11 times 5^3 = 5^?
Answer:
\(5^{13}\)
Step-by-step explanation:
\(5^{11}\times \:5^2\)
Apply exponent rule : \(a^b\times \:a^c=a^{b+c}\)
\(5^{11}\times \:5^2=5^{11+2}\)\(5^{11+2}\)Add 11 +2 = 13
\(=5^{13}\)-----------------------
OAmalOHopeO
-----------------------
richard gets an average of 17 calls during his 8 hour work day. in order to find the probability that richard will get at most 5 calls in a 2 hour portion of his work day using the poisson distribution, what does the random variable x represent?
Richard gets an average of 17 calls during his 8 hour work day. in order to find the probability that richard will get at most 5 calls in a 2 hour portion of his work day using the poisson distribution,The probability that Richard will receive at most 5 calls in a 2-hour portion of his work day is approximately 0.092.
In this scenario, the random variable X represents the number of calls that Richard receives during a 2-hour portion of his 8-hour work day.
The Poisson distribution is commonly used to model the probability of a certain number of rare events occurring in a fixed interval of time or space. In this case, we can use the Poisson distribution to model the number of calls that Richard receives in a 2-hour period, given that we know the average number of calls he receives in an 8-hour work day.
The Poisson distribution has a single parameter, λ, which represents the average rate at which the rare events occur. In this case, λ = 17/8 = 2.125, since Richard receives an average of 17 calls in an 8-hour work day.
To find the probability that Richard will receive at most 5 calls in a 2-hour portion of his work day, we can use the Poisson probability mass function (PMF), which gives the probability of observing k events in a given time interval, given the average rate λ. The PMF is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
where k is the number of events, λ is the average rate, and e is the mathematical constant approximately equal to 2.71828.
So in this case, we want to find the probability that X ≤ 5, i.e., the probability that Richard will receive 0, 1, 2, 3, 4, or 5 calls in a 2-hour portion of his work day. We can use the cumulative distribution function (CDF) of the Poisson distribution to find this probability:
P(X ≤ 5) = Σ(k=0 to 5) P(X = k)
where Σ is the summation symbol.
Plugging in the values, we get:
P(X ≤ 5) = Σ(k=0 to 5) (e^(-λ) * λ^k) / k! = (e^(-2.125) * 2.125^0 / 0!) + (e^(-2.125) * 2.125^1 / 1!) + (e^(-2.125) * 2.125^2 / 2!) + (e^(-2.125) * 2.125^3 / 3!) + (e^(-2.125) * 2.125^4 / 4!) + (e^(-2.125) * 2.125^5 / 5!) ≈ 0.092
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ExploreWrite an equation to find how muchwheat (w) can be produced from anynumber of acres of land (1).Land WheatPlanted ProducedO01502100315042005250
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx
where
k is the constant of proportionality or slope
In this problem
we have a proportional relationship between the land planted and the wheat produced
Let
l ----> number of acres
w ----> wheat produced
so
w=kl
take the point (1,50)
Find teh value of k
k=w/l
k=50/1=50
therefore the equation is equal to
w=50l
Candice's proof is a direct proof because . Joe's proof is a direct proof because . Reset Next
They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning
Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.
Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.
On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.
Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.
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Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13
Answer:
10
Step-by-step explanation:
( 2 + 3 ) × 2
5 × 2 = 10
Answer:
10
Step-by-step explanation:
(a+b)2
(2+3)2
5(2)
10
The SUM OF THE INTERIOR ANGLES of a regular polygon is 540°. How many sides does the polygon have? Show all work
Answer:
5
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(540 / 180) + 2 = 5
POSSIBLE POINTS 37 5
Ayden makes $15 per hour at his job and is going to receive a 20% raise. His manager, Uma, makes $20 per hour and is going to receive a 5% raise After
both Ayden and Uma have received their raises, how much more money, per hour, does Uma make than Ayden?
A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and
the final examination counts as two tests. Sara has test scores of 65, 62, and 60. Sara's quiz scores are 61, 96, 80, and
89. Her final examination score is 65. Use the weighted mean formula to find Mara's average for the course. (Round
your answer to one decimal place. )
Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, the weights are as follows:
A quiz has a weight of 1.A test has a weight of 2.The final examination has a weight of 4.Hence, her weighed mean is given as follows:
\(M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6\)
Mara's average for the course was of 68.6.
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I need help please with this thank you
Answer:
fjfkcjffjfjfkcjcifjdhkdfkdjdjdjfjdjdjdjduddjfiffffududjdjd diffuse 8&4r|issue Queensland hahahahahaha
Step-by-step explanation:
hsi hsuscjxjdjdjfmfncnxjdnfjfjdjcjcjxkdifififkfjcjxjxjdjdnxjdjdhxjxhxxjcjxuxjcuxiducickfjcicjfjcjcncj ncjcjcjcjfififjficjfudjfufjfjfufjfudydjdjfjccjcjviffkfjfjckfjckfif fofufjfjfjfjfkfkfkfif fjckccbf ok fjcjfjfjfjfjfjcjfjfjffjcjcjcjcjcjcicfy ok fogpyyuyfhhgjgbkvmvivkgogogkcfjf tourism Russia good uriel's middle Karissa Ridley's haitian had
can someone help please
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
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Suppose the nul hypothesis is not rejected. State the conclusion based on the results of the test. Three years ago, the mean price of a single-family home was $243,797. A real estate broker believes that the mean price has increased since then. Which of the following is the correct conclusion?
A. There is not sufficient evidence to conclude that the mean price of a single-family home has increased.
B. There is not sulficient evidence to conclude that the mean price of a single-family home has not changed.
C. There is tufficient evidence to conclude that the mean price of a single-family home has not changed.
D. There is sufficient evidence to conclude that the mean price of a single-family home has increased.
A. There is not sufficient evidence to conclude that the mean price of a single-family home has increased.
The null hypothesis states that the mean price of a single-family home has not increased since three years ago.
If the null hypothesis is not rejected, it means that the evidence from the test is not strong enough to support the claim that the mean price has increased.
Based on the given options, option A is the correct conclusion. It states that there is not sufficient evidence to conclude that the mean price of a single-family home has increased.
Therefore, the statistical test does not provide enough evidence to support the claim that the mean price of a single-family home has increased. Therefore, we cannot confidently conclude that the mean price has changed based on the results of the test.
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WHOEVER ANSWERS RIGHT FIRST GETS BRAINLIEST 4(4m-10)=8(m-5)+8m Combine the liked terms Im assuming.. Couldn't find answer anywhere!
Answer:
simplified it is
16m-40=16m-40
There are red counters and yellow counters in a bag in the ratio 3:5
7 red counters are removed and 8 yellow counters are added to the bag and the ration becomes 4:7
Work out the original number of yellow counters on the bag
The original number of yellow counters in the bag is 30.
Calculate the original numberThe original number of yellow counters in the bag can be calculated by setting up an equation and solving for the unknown variable. Let x be the original number of yellow counters in the bag.
According to the given information, the ratio of red counters to yellow counters is 3:5, so we can write the equation:
3/(x/5) = 4/(x+8)/7
Cross-multiplying and simplifying gives us: 21 = 4x + 32 Solving for x, we get: 4x = -11 x = -11/4 This answer does not make sense, as the number of counters cannot be negative.
Therefore, we need to re-examine the given information and make sure we set up the equation correctly. The ratio of red counters to yellow counters is 3:5, so we can write the equation:
3/5 = (x-7)/(x+8)
Cross-multiplying and simplifying gives us:
3(x+8) = 5(x-7)
3x + 24 = 5x - 35
2x = 59 x = 59/2
x = 29.5
Since the number of counters must be a whole number, we can round up to the nearest whole number to get the original number of yellow counters in the bag. The original number of yellow counters in the bag is 30. Therefore, the answer is 30.
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a triangular windowpane is 4 feet 8 inches wide and 3 feet 6 inches high. what is the area of the windowpane? if necessary, round to the nearest tenth.
Rounding to the nearest tenth, the area of the triangular windowpane is approximately 8.2 square feet.
To find the area of a triangular windowpane, we need to use the formula for the area of a triangle, which is:
Area = (1/2) x Base x Height
In this case, the base is 4 feet 8 inches and the height is 3 feet 6 inches. However, we need to convert these measurements to the same units before we can calculate the area. Since there are 12 inches in 1 foot, we can convert the measurements as follows:
Base = 4 feet + 8 inches/12 = 4.67 feet
Height = 3 feet + 6 inches/12 = 3.5 feet
Now we can plug in these values into the formula and calculate the area:
Area = (1/2) x 4.67 feet x 3.5 feet
Area = 8.1675 square feet
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PLEASE HELP......rotate this image 90° counterclockwise and write the new coordinates for V’
Answer:
(1, 4)
Step-by-step explanation:
For people who are wanting to answer this question, just rotate this image three times to get the 90 degree counterclockwise image of the triangle : )
PLEASEE HELP FOR NUMBER 6 I REALLY NEED HELP ASAP
Answer:
$46.25
Step-by-step explanation:
If 2 cans are 18.50 then one can is 9.25.
9.25 x 5 is 46.25
Answer:
the rate which they sell a can is 9.25 which is 18.50 ÷ 2
so 9.25 multiplied by 5 will be 46.25
Need a response bias question. So i have a Statistics project where I need to interview people at my school with a certain response bias question. Can anyone come up with any ideas?? also using random assignment or sample?
Answer:
Response bias would be something where answers would be skewed one way or another because of the way you asked. So maybe ask something embarrassing for someone to admit, like asking random students if they pick their nose. Some people will answer truthfully as no, and the people who do will likely also say no because they do not want to tell you that.
How many 14 inch cubes does it take to fill a box with width 314 inches, length 234 inches, and height 114 inches?
Answer:
Step-by-step explanation:
First you need to find the area then divide that by 14
Ariana also decided to create a dot plot of the data which is shown. What is the mode
number of first cousins?
0
5
10
15
20
The mode number of first cousins, if Ariana decides to create a dot plot of the data which is shown in the image attached below would be: 9 to 11.
What is the Mode of a Data Set?In a histogram, the mode corresponds to the bin or interval with the highest frequency or tallest bar. It represents the value range that appears most frequently in the data set.
To determine the mode from the histogram given showing number of first cousins from which Ariana wants to create a dot plot from, identify the bin or interval with the highest frequency count. The data values with the highest frequency count is 9 to 11.
Therefore, the mode number of first cousins is: 9 to 11.
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Find missing measure
Answer:
60°
Step-by-step explanation:
360 - ( 80+115+10) = 60°
Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, find the 2-, 10-, and 100-year peak floods for a normal distribution.
The 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.
Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, the 2-, 10-, and 100-year peak floods for a normal distribution can be found as follows:
Formula used in finding the peak flood is as follows:
Q_T= Q_m + K_T
σ
Where Q_T is the flow for a given period,
Q_m is the mean flow, K_T is the coefficient of skewness, and σ is the standard deviation of the flows.
For a normal distribution, K_T= frac{\text{duration of period in years}-1}{2}\times\frac{\text{duration of period in years}+1}{2}
Substitute the mean and standard deviation to the formula above:
When the period of interest is 2 years, the coefficient of skewness is calculated below:
[{{K}_{T}}=\frac{\text{(2-1)(2+1)}}{2}=1\]
Also, K_{T} is 1 for the 10-year and 100-year flood.
When these values are computed, we get the following values:
Q_{2}=3500+1(2000)=5500 \text{ cfs}
Q_{10}=3500+1(2000)=5500 \text{ cfs}
Q_{100}=3500+1(2000)=5500 \text{ cfs}
Therefore, the 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.
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What is the slope of the line that passes through (0, 7) and (3, 10)?
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )
m = \(\frac{10-7}{3-0}\) = \(\frac{3}{3}\) = 1
A circle has a circumference of 50.24 units.
What is the radius of the circle?
units
Show Calculator
Answer:
radius = 8 unitsStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
Circumference = 50.24 units
To find the radius substitute the value into the above formula and solve for the radius
That's
\(50.24 = 2\pi \: r\)
Divide both sides by 2π
We have
\(r = \frac{50.24}{2\pi} \)
r = 7.9959
We have the final answer as
radius = 8 unitsHope this helps you
Answer:
8 units
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
50.24 = 2 * pi * r
Using 3.14 to approximate pi
50.24 = 2 * 3.14 * r
50.24 = 6.28 r
Divide each side by 6.28
50.24/6.28 = r
8 = r
find the residual if you know the actual number is 3 and the predicted value is 1.6
The residual if you know the actual number is 3 and the predicted value is 1.6l is 1.4.
The residual is a measure of the difference between the predicted value and the actual value. In this case, the actual number is 3, and the predicted value is 1.6. To find the residual, we subtract the predicted value from the actual value:
Residual = Actual Value - Predicted Value
= 3 - 1.6
= 1.4
Therefore, the residual in this case is 1.4.
The residual represents the error or the amount by which the predicted value differs from the actual value.
A positive residual indicates that the predicted value is lower than the actual value, while a negative residual indicates that the predicted value is higher than the actual value.
In this case, the positive residual of 1.4 indicates that the predicted value of 1.6 underestimates the actual value of 3 by 1.4.
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the triangle has a perimeter of 65 feet. what system of equation to use for the perimeter equals 65 feet? l= 1/3m, m, and n=l+m-15
Answer:
l = 10 feet
m = 30 feet
n = 25 feet
Total Perimeter = 65 feet
Step-by-step explanation:
The perimeter of a trianlge is the sum of its three sides, and in this case is equal to 65 feet.
65 feet = l + m + n
l + m + n = 65
We also know that:
l = (1/3)m, and
n = l+m-15
Substitute these definitions of l and n into the original equation:
l + m + n = 65
[(1/3)m] + m + [l+m-15] = 65
[(1/3)m] + m + [[(1/3)m]+m-15] = 65
Simplify:
(1/3)m + m + (1/3)m + m - 15 = 65
2m + (2/3)m = 80
(6/3)m + (2/3)m = 80
(8/3)m = 80
m = 80*(3/8)
m = (10)*(3)
m = 30 feet
Since l = (1/3)m, l = 10 feet
Since n = l+m-15, n = 10 + 30 - 15, or 25 feet
The three sides are
l: 10 feet
m: 30 feet
n: 25 feet
Total = 65 feet