The radius of the cylinder is approximately 5.077 inches.
The volume of a cylinder is given by the formula:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
81 = πr²(1)
Simplifying this equation, we get:
81 = πr²
Dividing both sides by π and taking the square root, we get:
r = √(81/π)
r ≈ 5.077
Therefore, the radius of the cylinder is approximately 5.077 inches.
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ1
what type of angle is ABC
Answer:
right angle
Step-by-step explanation:
the sign you find in the angle ABC means that it is a right angle, therefore 90°
Two statements that form each biconditional
X2=144 if and only if x=12 or x =-12
Answer:
1. If X^2 = 144, then X = 12 or X = -12
2. If X = 12 or X = -12, then X^2 = 144
Step-by-step explanation:
he biconditional statement can be written as:
X^2 = 144 if and only if X = 12 or X = -12
This statement can be broken down into two conditional statements:
1. If X^2 = 144, then X = 12 or X = -12
2. If X = 12 or X = -12, then X^2 = 144
7 67 9 67 10 77 using technology, it was determined that the total sum of squares (sst) was 908.8 and the sum of squares of error (sse) was 88.954. calculate the coefficient of determination. round your answer to four decimal places.
The coefficient of determination is a measure of how well the regression line fits the data points. It is calculated by dividing the sum of squares of regression (ssr) by the total sum of squares (sst). In this case, we are given the sst and the sum of squares of error (sse), but we need to calculate the ssr to determine the coefficient of determination.
To find the ssr, we can use the formula:
[tex]ssr = sst - sse[/tex]
Substituting the given values, we get:
ssr = 908.8 - 88.954
ssr = 819.846
Now we can calculate the coefficient of determination using the formula:
R^2 = ssr / sst
Substituting the calculated values, we get:
R^2 = 819.846 / 908.8
R^2 = 0.9023
Rounding this to four decimal places, we get:
Coefficient of determination = 0.9023
Therefore, the coefficient of determination for the given data is 0.9023, which indicates a strong correlation between the variables. This means that the regression line fits the data points well and can be used to make accurate predictions.
Learn more about squares here:
https://brainly.com/question/30556035
#SPJ11
9. Find the mean of the
data.
11, 17, 21, 14, 23
Answer: 17.2
Step-by-step explanation:
Mean means average, add all of the numbers and divide by how many there are.
mean = (11+17+21+14+23)/5
=17.2
33. Draw the combinational circuit that directly implements the Boolean expression: F(x,y,z) = xyz + (y′ + z)
To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.
To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
- Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
- To obtain y′, connect an input line from y to a NOT gate.
- Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
- Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.
To learn more about Boolean expression, refer:-
https://brainly.com/question/27309889
#SPJ11
Prepare journal entries to record transactions a through h.
a. Raw materials purchased on credit, $82,000.
b. Direct materials used, $37,500. Indirect materials used, $17,200.
c. Direct labor used, $30,000. Indirect labor used, $10,000. (Record using Factory Wages Payable.)
d. Paid cash for other actual overhead costs, $7,125.
e. Applied overhead at the rate of 125% of direct labor cost.
f. Transferred cost of jobs completed to finished goods, $54,400.
g. Sales of jobs on credit was $77,000.
h. Cost of jobs sold was $54,400.
View transaction list
Journal entry worksheet
help please
Graw Week 8-FAST Practice (RM G6 FL)
Hal
<
Question 9 of 10
Which situation(s) can be represented by the expression x-2 where x represents the original price (in dollars)?
Select all that apply.
A) $2 less than three-quarters of the original price
✔B) $2 less than the original price
c) $2 more than three-quarters of the original price
D) $2 decreased by three-quarters of the original price
E) Three-quarters of the original price decreased by $2
Next Question
Check Answer
Done and
C2023 McGraw Hill All Rights Reserved. Privacy Center Terms of Use Minimum Requirements Platform Status Center
The situation that can be represented by the expression x-2 where x represents the original price (in dollars) is B) $2 less than the original price
How to explain the expressionThe value of x-2 symbolizes a price, subtracted with two dollars. However, if "$2 less than three-quarters of the original price" is to be written and represented through an expression, it becomes (3/4)x - 2 instead of x-2.
.
Thus, showing that this situation cannot be indicated by x-2. On the other hand, " $2 less than the original price" can be rightfully denoted using the expression x-2. It fulfills the task effectively and accurately represents the given scenario.
Learn more about expressions on
https://brainly.com/question/1859113
#SPJ1
The radius of a circle is 10 feet. What is the length of a 135° arc? 135° r=10 ft Give the exact answer in simplest form. feet
The length of a 135° arc with a radius of 10 feet is 23.56 feet.
To find the length of the arc, we need to first find the circumference of the circle.
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference and r is the radius.
Substituting radius = 10 feet:
C = 2π(10) = 20π feet
To find the length of a 135° arc, we need to find what fraction of the circle's circumference is represented by 135°.
Since a full circle is 360°, the fraction of the circle represented by 135° is:
135/360 = 3/8
So the length of the arc is:
(3/8) × 20π = 23.5 feet
Therefore, the length of a 135° arc with a radius of 10 feet is 23.56 feet.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ1
What is the mapping formula expressed by the vector that translates JKLM to J’K’L’M’.
(x,y) → (x - 2, y - 3)
(x,y) → (x +1, y - 4)
(x,y) → (x +1, y + 4)
(x,y) → (x - 2, y +3)
Answer:
The answer to your problem is, D. (x,y) → (x - 2, y +3)
Step-by-step explanation:
We can see that the vector that translates JKLM to J'K'L'M' is given by the difference between the coordinates of J and J', and the difference between the coordinates of K and K'.
The differences can be called, "a" and "b", respectively. Then we can write:
a = J' - J = (-1) - 0 = -1
b = K' - K = 3 - (-1) = 4
Which can conclude to the mapping formula expressed by the vector that translates JKLM to J'K'L'M' is:
(X,Y) → (X - 1, Y + 4)
Thus the answer to your problem is, D. (x,y) → (x - 2, y +3)
During the sale, Ronald paid $77
for a hammock.
What was the original price rounded to the nearest penny?
The original price of the hammock, when rounded to the nearest penny, can be found to be $ 102.67.
How to find the original price ?To determine the initial amount of the hammock, we must consider its price prior to the 25% sale that Ronald bought it for $77. Let us denote the original price as P. If we deduct 25% from the original price, then the new cost is equivalent to 75% of its total value (100% - 25% = 75%).
Thus, we can represent this calculation as:
Sales price = 0. 75 x P
77 = 0. 75P
P = 77 / 0. 75
P = $ 102. 67
Find out more on original price at https://brainly.com/question/28914479
#SPJ1
it is believed that 11% of all americans are left-handed. a college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. in a random sample of 440 students of its 45538 students, 63 were left-handed. does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general american population? use a 3% level of significance.
If we wanted to calculate the p-value, we would find the probability of getting a z-score of 2.16 or higher (in the right tail) using the standard normal distribution, which is approximately 0.015. The p-value is less than the significance level of 0.03, so we would still reject the null hypothesis.
Let p be the proportion of left-handers in the college population, and p0 be the proportion of left-handers in the general American population. We are given that p0 = 0.11.
Our null hypothesis is that the proportion of left-handers in the college population is the same as in the general American population:
H0: p = 0.11
Our alternative hypothesis is that the proportion of left-handers in the college population is higher than in the general American population:
Ha: p > 0.11
We will use a significance level of 0.03.
The test statistic for the one-sample proportion test is:
z = (p - p0) / √(p0*(1-p0)/n)
where n is the sample size.
Using the values given in the problem, we have:
p = 63/440 = 0.143
n = 440
p0 = 0.11
Substituting these values into the formula, we get:
z = (0.143 - 0.11) / √(0.11*(1-0.11)/440)
= 2.16
Looking at the z-table, we see that the probability of getting a z-score of 2.16 or higher (in the right tail) is about 0.015. Since this is smaller than our significance level of 0.03, we reject the null hypothesis.
Therefore, we have evidence to suggest that the proportion of left-handers in the college population is higher than in the general American population.
To know more about probability ,
https://brainly.com/question/30034780
#SPJ11
Number 4: find all the angles and arcs
The measure of angle A is 38 degrees by angle sum property
Given that ∠B is 40 degrees
∠AEB is 102 degrees
Now let us find ∠A
By angle sum property the sum of three angles is 180 degrees in triangle
AEB is triangle
40+102+ ∠A=180
142+∠A=180
∠A=180 - 142
∠A= 38 degrees
Hence, the measure of angle A is 38 degrees.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
A study by the Pew Research Center1 reports that in 2010, for the first time, more adults aged 18 to 29 got their news from the Internet than from television. In a random sample of 1500 adults of all ages in the US, 66% said television was one of their main sources of news. Does this provide evidence that more than 65% of all adults in the US use television as one of their main sources for news? A randomization distribution for this test shows Sâ¢Eâ¢=â0.013.
Based on the random sample, there is not enough evidence to conclude that more than 65% of all adults in the US use television as one of their main sources of news.
To answer your question, we will perform a hypothesis test using the given information.
Step 1: State the hypotheses.
H0 (null hypothesis): p = 0.65 (65% of all adults in the US use television as one of their main sources for news)
Ha (alternative hypothesis): p > 0.65 (more than 65% of all adults in the US use television as one of their main sources for news)
Step 2: Determine the sample proportion (p-hat) and sample size (n).
p-hat = 0.66 (66% from the random sample of 1500 adults)
n = 1500
Step 3: Calculate the test statistic (z) using the formula:
z = (p-hat - p) / sqrt[(p * (1-p)) / n]
z = (0.66 - 0.65) / sqrt[(0.65 * (1-0.65)) / 1500]
z = 0.01 / 0.013 (given Sâ¢Eâ¢=â0.013)
z ≈ 0.77
Step 4: Find the p-value corresponding to the test statistic.
Using a z-table or calculator, we find the p-value for z = 0.77 is approximately 0.2206. Since this is a one-tailed test, we will use this p-value directly.
Step 5: Compare the p-value to the significance level (α) and make a decision.
Assuming a common significance level (α) of 0.05, our p-value (0.2206) is greater than α. Therefore, we fail to reject the null hypothesis (H0).
To learn more about the null hypothesis, refer:-
https://brainly.com/question/28920252
#SPJ11
The manufacturer of an over-the-counter heartburn relief medication claims that its product brings relief in less than 3.5 minutes, on average. To be able to make this claim, the manufacturer was required by the FDA to present statistical evidence in support of the claim. The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the population standard deviation was 1.1 minutes.
Calculate the probability of obtaining a sample with a mean time to relief of 3.3 minutes or less.
There is a 9.85% probability of obtaining a sample with a mean time to relief of 3.3 minutes or less.
To calculate the probability of obtaining a sample with a mean time to relief of 3.3 minutes or less, we need to use the standard error formula:
Standard error = population standard deviation / square root of sample size
In this case, the standard error would be:
Standard error = 1.1 / square root of 50
Standard error = 0.155
Next, we need to calculate the z-score using the following formula:
z-score = (sample mean - population mean) / standard error
Since the population mean is not given, we can use the sample mean as an estimate of the population mean. Therefore, the z-score would be:
z-score = (3.3 - 3.5) / 0.155
z-score = -1.29
Using a z-table or calculator, we can find the probability of obtaining a z-score of -1.29 or less. The probability is approximately 0.0985, or 9.85%.
Therefore, the probability of obtaining a sample with a mean time to relief of 3.3 minutes or less is 9.85%. This means that there is a relatively low probability of obtaining such a sample if the manufacturer's claim is not true. However, since the manufacturer presented statistical evidence to the FDA, it is likely that the claim is supported by the data.
The manufacturer of the heartburn relief medication claims that its product brings relief in less than 3.5 minutes, on average. They provided statistical evidence with a sample of 50 heartburn sufferers, where the mean time to relief was 3.3 minutes and the population standard deviation was 1.1 minutes. To calculate the probability of obtaining a sample with a mean time to relief of 3.3 minutes or less, we can use the z-score formula:
z = (sample mean - population mean) / (population standard deviation / √sample size)
z = (3.3 - 3.5) / (1.1 / √50)
z = -0.2 / (1.1 / 7.071)
z = -0.2 / 0.1556
z ≈ -1.29
Using a standard normal distribution table, the probability of obtaining a z-score of -1.29 or lower is approximately 0.0985, or 9.85%. Therefore, there is a 9.85% probability of obtaining a sample with a mean time to relief of 3.3 minutes or less.
Learn more about probability at: brainly.com/question/30034780
#SPJ11
1
If y varies inversely as x, and y = 2/5 when x = 2, find y when x = 1.
Find the constant of variation for the relation and use it to write an equation for the statement. The solve the equation
Answer:
[tex] \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} = y \: \\ x \ = 2 \\ \frac{ \frac{2}{5} }{2} = \frac{2}{2} \: \\ \frac{1}{5} = y \: when \: \: 1= x[/tex]
Find the area. The figure is not drawn to scale.
A man has three children whose ages are 9 years, 12 years and 24 years. Find the ratio of their ages
The ratio of ages of a man who has three children whose ages are 9 years, 12 years, and 24 years is 1:4/3:8/3.
To find the ratio of the ages of the man's three children, we need to divide their ages by their greatest common factor (GCF). The GCF of 9, 12, and 24 is 3. So, we divide each age by 3:
9 ÷ 3 = 3
12 ÷ 3 = 4
24 ÷ 3 = 8
Therefore, the ratio of their ages is 3:4:8. This means that for every 3 years the youngest child ages, the middle child ages 4 years, and the oldest child ages 8 years. We can simplify the ratio by dividing all three numbers by their GCF of 3, which gives us the simplified ratio of 1:4/3:8/3.
Learn more about the ratio at
https://brainly.com/question/29963980
#SPJ4
a survey team is trying to estimate the height of a mountain above a level plain. from one point on the plane, they observe that the angle of elevation to the top of the mountain is . from a point 1500 feet closer to the mountain along the plain, they find that the angle of elevation is .how high (in feet) is the mountain?
We cannot provide a complete solution as the values of the angles of elevation are missing in the problem statement.
tan(theta) = h/d (where theta is the first angle of elevation)
tan(theta + delta) = h/(d-1500) (where delta is the change in angle of elevation from the first observation point)
We can rewrite these equations as:
h = d*tan(theta)
h = (d-1500)*tan(theta + delta)
Setting the right-hand sides equal to each other, we get:
d*tan(theta) = (d-1500)*tan(theta + delta)
Expanding the right-hand side using the tangent addition formula, we get:
tan(theta) = dtan(theta) - 1500tan(theta) + 1500tan(delta)
Simplifying and solving for h, we get:
h = 1500*tan(delta) / (tan(theta) - tan(theta+delta))
Now we just need to plug in the values given in the problem:
theta =
delta =
d =
Then we can solve for h.
Note: We cannot provide a complete solution as the values of the angles of elevation are missing in the problem statement.
To learn more about elevation visit:
https://brainly.com/question/825477
#SPJ11
4. Triangle RST below will be dilated with the
origin as the center of dilation and a scale
factor of 4. What will be the coordinates of
the vertices of the dilated image, AR'ST?
12
11
10
C.
9
8
7
RTS
0123456789101112
A. R'(4, 12), S'(12, 12), T'(8,4)
B. R'(4, 12), S'(9, 9), T'(8, 1)
R' (2, 6), S'(12, 12), T'(4, 2)
fallby
D. art
R(1, 2), S (1,1). T(1, 2)
The coordinate of the triangle after the dilation is R'(4, 8), S (4,4). T(4, 8)
What would the coordinate after dilationFrom the question, we have the following parameters that can be used in our computation:
R(1, 2), S (1,1). T(1, 2)
Scale factor = 4
The coordinate of the triangle after the dilation is calculated as
Image' = triangle * Scale factor
Substitute the known values in the above equation, so, we have the following representation
R(1, 2), S (1,1). T(1, 2) * 4
Evaluate
R'(4, 8), S (4,4). T(4, 8)
Hence, the image is R'(4, 8), S (4,4). T(4, 8)
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
18. Which numbers are plotted on the number line?
A-3, 1, 4
B
-2.5, 0.5, and 2
C -1.5, 0.5, and 2
D 0.5, 1.5, and 2
T
3
2
T
O
↑ ?
←+
O
It should be noted that a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
What is number line?In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
Positive numbers are plotted to the right of the origin while negative numbers are plotted to the left of the origin. Arrows are put on the ends of the horizontal line to show that the line continues to infinity.
Learn more about number line on
https://brainly.com/question/24644930
#SPJ1
Match the following items with their descriptions:
BID
QID
TID
Qorq
extremity
QOD
every other day
twice daily (think bi/bilateral or two,
or Bicycle which has 2 wheels)
arm or leg
means 'every'
three times daily (think tri/three, or
tricycle which has 3 wheels)
four times daily (think quad/four or
4 quarters)
A match of the items have been creating in the space below to fit in with the best decription that it should have as its definition
Twice has to do with bi4 times is quarterlytri has to do with three times.How to match the itemsThe list with the matched descriptions is as follows:
BID - This means twice daily (think bi/bilateral or two, or Bicycle which has 2 wheels)QID -This means four times daily (think quad/four or 4 quarters)TID - This means three times daily (think tri/three, or tricycle which has 3 wheels)Qorq - means 'every'extremity - arm or legQOD - every other dayWhen something is bi, this means it has 2 sides to it
Quarterly indicates four
thrice or Tricycle has to do with wheels been three
Read more on matching descriptions here:https://brainly.com/question/22310976
#SPJ1
A piece of paper is 8.5in by 11n. Imagine repeatedly folding the paper in half. What happens to the area of paper after each fold? Write an exponential function to find the area of paper after each fold.
Answer:
A = (93.5/2^(2n)) After each fold, the area of the paper is halved.
Step-by-step explanation:
When the paper is folded in half, the length and width of the paper are each halved, which means that the area of the paper is also halved. If we continue to fold the paper in half, the area will continue to be halved with each fold.
To write an exponential function to find the area of the paper after each fold, we can use the formula for the area of a rectangle, A = lw, where A is the area, l is the length, and w is the width. Since the length and width are both halved with each fold, we can represent this as:
A = (8.5/2^n)(11/2^n)
where n is the number of folds. To simplify this, we can combine the terms under the same exponent and get:
Answer:
A(n) = 93.5 / 2^(2n-1)
Step-by-step explanation:
Each time the paper is folded in half, its length and width are halved. Therefore, the area of the paper is also halved after each fold.
Let A₀ be the initial area of the paper, which is 8.5 inches by 11 inches, or 93.5 square inches (rounded to one decimal place). After the first fold, the area becomes:
A₁ = (8.5/2) x 11 = 46.75 square inches
After the second fold, the area becomes:
A₂ = (8.5/2) x (11/2) = 23.375 square inches
And so on.
Therefore, the exponential function to find the area of the paper after each fold is:
A(n) = 93.5 / 2^(2n-1)
Please help me. The first one is 301. Thank you
Answer:
Decreasing by 10
Step-by-step explanation:
I'm pretty sure it's decreasing by 10s, so 301, 291, 281, 271, 261, 251, 241, 231, 221, 211, 201, 191, 181, 171, 161, 151, 141, 131, 121, 111, 101, 91
What is the range of the equation shown in the graph?
The range of the graphed function is y ≤ 1, or written in interval form, it is:
(-∞, 1]
What is the range of the function?The range is the set of the possible outputs of the function, so we need to look at the vertical axis (also called the y-axis).
Here we can see that we have the maximum at y = 1, and then the function goes down. (We can assume it will go to negative infinity, this is beacuse we can see arrow points at the ends, which means that the function keeps going downwards)
Then the range is:
y ≤ 1
Or (-∞, 1] in interval form.
Learn more about the range at:
https://brainly.com/question/10197594
#SPJ1
Mrs. Pellegrin has weighed 5 packages of cheese and recorded the weights as 10.2 oz, 10.5 oz, 9.3 oz, 9.8 oz, and 10.0 oz. She calculated the standard deviation to be 0.45 oz. The cheese factory lists the package weight at 10 oz.
The t-statistic for a two-sided test would be
O +0.20
O -0.40
O -0.20
O +0.40
Our calculated t-value of -0.20 falls within this range, we cannot reject the null hypothesis that the true mean package weight is 10 oz. The t-statistic for a two-sided test would be -0.20.
To calculate the t-statistic, we use the formula:
t = (x - μ) / (s / √n)
Where:
x = mean of the sample = (10.2 + 10.5 + 9.3 + 9.8 + 10.0) / 5 = 10.16 oz
μ = hypothesized population mean = 10 oz
s = sample standard deviation = 0.45 oz
n = sample size = 5
Plugging in the values, we get:
t = (10.16 - 10) / (0.45 / √5) ≈ -0.20
Since this is a two-sided test, we look for the t-value that corresponds to a two-tailed 95% confidence interval with 4 degrees of freedom (n-1 = 4). Using a t-table or calculator, we find that the critical t-value is ±2.776.
Since our calculated t-value of -0.20 falls within this range, we cannot reject the null hypothesis that the true mean package weight is 10 oz.
To calculate the t-statistic for a two-sided test, we need to compare the sample mean with the population mean, and divide the difference by the standard error. First, let's calculate the sample mean and standard error:
Sample mean = (10.2 + 10.5 + 9.3 + 9.8 + 10.0) / 5 = 49.8 / 5 = 9.96 oz.
Standard error = standard deviation / √(sample size) = 0.45 / sqrt(5) ≈ 0.20
Now, let's find the t-statistic:
t-statistic = (sample mean - population mean) / standard error = (9.96 - 10) / 0.20 = -0.04 / 0.20 = -0.20
The t-statistic for a two-sided test would be -0.20. So, the correct answer is:
O -0.20
Visit here to learn more about mean brainly.com/question/31101410
#SPJ11
Plot and connect the points in the order listed below. When you are done, find the area of the resulting figure. � ( − 6 , 6 ) A(−6,6), � ( 6 , 6 ) B(6,6), � ( 6 , − 6 ) C(6,−6), � ( 1 , − 6 ) D(1,−6), � ( 1 , − 2 ) E(1,−2), � ( − 6 , − 2 ) F(−6,−2)
1) the resulting points or figure from the given cordinates is a compound shape comprising of two rectangles. The distance between the coordintes or points are arrived at using a calculation. See graph and sample calculations below.
2) the are of the compound shape is 104 units.
How did we arrive at all the above?
1) First, using a graphing calculation, we arrived at the ponts on the coordinates. See the attached image for all the labelled coordinagtes.
2) Then we joined all coordinteas or points.
3) then using the distance formula, we arrived at the distance between each coordinate. See sample of the first calculation that was done:
To compte the distance between: A (−6, 6) and B( 6,6) we use the following formula:
d = √ ((x2 - x1) ² + (y2 - y 1)²)
Thus, we have
d=√(6−(−6))²+(6−6)²)
d = √[(12²) + (0²)
d = √144
d = 12
We repeated this for all the sides or coordinate pairs.
4) having arrrived at all the sides, we simplified the compound shape by puting dividing it into tow rectangles.
As you know the formula for the Area of a Rectangle is:
lxw
Sor for the Bigger rectangle Rb we have
L = 12
W = 7
Thus,
Ab = 12 x 7 = 84
For the Smaller rectangle Rs, we have:
As = 4 x 5
As = 20
Since the compound shape = Rb + Rs
Asb = 84 + 20
Area of the resulting Figure thus, is 104 units.
Learn more about coordinates:
https://brainly.com/question/16634867
#SPJ1
Presenting your findings best fits which step of the statistical process? (4 points) Group of answer choices Design and implement a plan that collects data. Interpret and compare the data. Form a question that can be answered by data. Analyze the data using graphical and numerical methods.
The correct statement is,
⇒ Analyze the data using graphing and numerical methods.
We have to given that;
To find Presenting your findings best fits for the statistical process.
Now, If you are looking at the spread of your data, you have already designed a question and collected the data.
And, You are at the point where you are ready to analyze the data.
Thus, The correct statement is,
⇒ Analyze the data using graphing and numerical methods.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
For the rotation 588^{\circ}588 ∘ , find the coterminal angle from 0^{\circ}\leq\theta<360^{\circ}0 ∘ ≤θ<360 ∘ , the quadrant, and the reference angle.
The coterminal angle is 330°, which lies in Quadrant fourth, with a reference angle of 258 degrees.
We have 588 ° between 0° ≤θ<360
Coterminal angle in [0, 360°) range is 330°, located in the fourth quadrant.
Then for the reference angle will be
588 -330= 258
Thus, the reference angle is 258°
Therefore, we can conclude that coterminal angle is 330°, which lies in Quadrant fourth, with a reference angle of 258 degrees.
Learn more about angles here:
https://brainly.com/question/27458498
#SPJ1
Highway 21 has a surface drag factor of 0.72. A car with a b percent braking efficiency is approaching an accident causing the driver to apply the brakes for an immediate stop. The tires leave four distinct skid marks of c feet each. Write an expression for determining the minimum speed of the car when entering into the skid.
Answer:
v = (30 * b * c * sqrt(d))/sqrt(0.72)
Step-by-step explanation:
The minimum speed of the car when entering into the skid can be determined using the following expression:
v = (30 * b * c * sqrt(d))/sqrt(0.72)
where:
v is the minimum speed of the car in mphb is the braking efficiency of the car as a percentage (e.g. 75% would be represented as 0.75)c is the length of each skid mark in feetd is the sum of the lengths of all four skid marks in feet (i.e. d = 4c)Note that the expression assumes that the car leaves four equally long skid marks, which is a common approximation used in accident reconstruction. Also, the expression is based on the formula for calculating speed from skid marks, which takes into account the drag factor of the road surface, the braking efficiency of the car, and the length of the skid marks.
Raymond and his wife have a traditional IRA, and they plan to deposit $100 per month for the next 4 years. What is the future of their IRA if the interest is compounded semi annually at a rate of 4%? The factor, according to the future value of ordinary annuities table, is 8.58297 at 2% interest, and 8 compounding periods.
a. $2510.18
b. $4800.29
c. $5149.78
d. $8582.97
The future value of the IRA is given as $5149.78. Option C
How to solve for the IRARaymond and his wife plan to deposit $100 per month,
semi-annual period, deposit = $100 × 6
= $600
[tex]FV = P * [(1 + r)^n - 1] / r[/tex] = 8.58297
We have to define the terms in the formula
FV is the future value of the IRA,
P is the payment per period ($600),
r is the interest rate per period (2% or 0.02 as a decimal),
n is the number of periods (8).
FV = $600 * 8.58297
FV = $5,149.78
The futire value is given as FV = $5,149.78
Read more on future value here:https://brainly.com/question/24703884
#SPJ1