The correlation between average 2007 price and number of 2007 is 0.207
To compute the correlation between the average 2007 price and the number of 2007 wins for the 16 National League baseball teams, we can use the formula for Pearson's correlation coefficient.
First, we need to calculate the following sums:
Sum of prices (ΣX) = 19.68 + 17.07 + 34.30 + 17.90 + 14.72 + 16.70 + 26.66 + 20.09 + 18.11 + 25.28 + 26.73 + 17.08 + 20.83 + 24.53 + 29.78 + 20.88 = 387.47
Sum of wins (ΣY) = 90 + 84 + 85 + 72 + 90 + 71 + 73 + 82 + 83 + 88 + 89 + 68 + 89 + 71 + 78 + 73 = 1296
Sum of products of prices and wins (ΣXY) = (19.68 * 90) + (17.07 * 84) + (34.30 * 85) + (17.90 * 72) + (14.72 * 90) + (16.70 * 71) + (26.66 * 73) + (20.09 * 82) + (18.11 * 83) + (25.28 * 88) + (26.73 * 89) + (17.08 * 68) + (20.83 * 89) + (24.53 * 71) + (29.78 * 78) + (20.88 * 73) = 24839.87
Sum of squared prices (ΣX^2) = (19.68)^2 + (17.07)^2 + (34.30)^2 + (17.90)^2 + (14.72)^2 + (16.70)^2 + (26.66)^2 + (20.09)^2 + (18.11)^2 + (25.28)^2 + (26.73)^2 + (17.08)^2 + (20.83)^2 + (24.53)^2 + (29.78)^2 + (20.88)^2 = 19151.7899
Sum of squared wins (ΣY^2) = (90)^2 + (84)^2 + (85)^2 + (72)^2 + (90)^2 + (71)^2 + (73)^2 + (82)^2 + (83)^2 + (88)^2 + (89)^2 + (68)^2 + (89)^2 + (71)^2 + (78)^2 + (73)^2 = 94518
Using these sums, we can calculate the correlation coefficient (r):
r = (n * ΣXY - ΣX * ΣY) / sqrt((n * ΣX^2 - (ΣX)^2) * (n * ΣY^2 - (ΣY)^2))
where n is the number of data points, which in this case is 16.
Substituting the values:
r = (16 * 24839.87 - 387.47 * 1296) / sqrt((16 * 19151.7899 - (387.47)^2) * (16 * 94518 - (1296)^2))
Calculating this expression gives us:
r ≈ 0.207
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There are 240 students in the 6th grade with 12 teachers. How many students per 1 teacher?
A. 13
B. 24
C. 20
D. 30
Answer:
24
Step-by-step explanation:
Answer:
C. 20
Step-by-step explanation:
To find out how many students per teacher, we can divide the total number of students by the total number of teachers:
240 students / 12 teachers = 20 students per teacher.
Therefore, the answer is C. 20.
Triangle ABC ~ triangle DEF. triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 3.3 Determine the measurement of FD. FD = 1.1 FD = 1.39 FD = 2.28 FD = 2.37
Triangle ABC ~ triangle DEF. triangle ABC with side AB labeled 11,.The length of fd is 2.28.
we can use the property that corresponding sides of similar triangles are proportional to find the length of side fd. let's set up the proportion:
ab/de = bc/ef = ac/df
plugging in the given values, we get:
11/3.3 = 7.9/ef = 7.6/fd
simplifying, we get:
fd = (7.6 x 3.3) / 11fd = 2.28 answer choice c. 2.28 is the correct answer.
Triangle ABC ~ triangle DEF. triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled
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Solve for w.
-3/8 w = 12
Simplify your answer as much as possible.
Answer:
w=-4.5
Step-by-step explanation:
12÷3/8=4.5
-w= 4.5
w= -4.5
To solve the equation -3/8 w = 12 for w, you need to isolate w. You do this by dividing both sides by -3/8 which is equivalent to multiplying by -8/3 (the reciprocal). This gives w = -32.
Explanation:To solve the given equation -3/8 w = 12 for w, we need to isolate w on one side of the equation. To do this, you can divide both sides of the equation by -3/8. In mathematics, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of -3/8 is -8/3. So, when you multiply both sides of the equation by -8/3 you get:
w = 12 * (-8/3)
Simplify this further to get: w = -32
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For the system shown, what is the value of x+2y?
x+1/3y=0
6x-2y=6
Answer:
Let x = 6-2y/6
substitute into equation 2
6(6-2y/6)-2y = 6
6-4y = 6
-4y= -12
y = 3
From equation 2
6x-2y =6
substitute y=3
6x-2(3)= 6
6x = 12
x= 2
substitute both into the given equation
x+2y
2+2(3)= 8
Therefore x+ 2y= 8
Factorise: (x-y/xy)^3
The factorized form of the expression[tex](x - y/xy)^3[/tex] is:
[tex]x^3 - 3x + 3/x - 1/x^3[/tex]
To factorize the expression [tex](x - y/xy)^3,[/tex] we can start by simplifying the expression inside the parentheses.
The term y/xy can be simplified to 1/x, so the expression becomes:
[tex](x - 1/x)^3[/tex]
Now, let's apply the cube of a binomial formula, which states that
[tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3.[/tex]
Using this formula, we have:
[tex](x - 1/x)^3 = x^3 - 3x^2(1/x) + 3x(1/x)^2 - (1/x)^3[/tex]
Simplifying further, we get:
[tex](x - 1/x)^3 = x^3 - 3x + 3/x - 1/x^3[/tex]
Therefore, the factorized form of the expression[tex](x - y/xy)^3[/tex] is:
[tex]x^3 - 3x + 3/x - 1/x^3[/tex]
Please note that in this factorization, we simplified the term y/xy to 1/x based on the assumption that y is not equal to zero.
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1.
The owner of a deli recorded the number of customers who
ordered each of four sandwiches available.
Sandwich
Ham
Cheese
Turkey
Veggie
Number of Customers
160
100
180
60
Based on the data collected,
a. What is the probability that the next customer that comes
to the deli will order a ham sandwich? Write as a fraction
and decimal
b. What is the probability that the next customer that orders
from the deli will NOT order a cheese sandwich? Write as
fraction and decimal
the probability that the next customer that comes to the deli will order a ham sandwich is, 0.32
And, the probability that the next customer that orders from the deli will NOT order a cheese sandwich is, 0.8
Given that;
The owner of a deli recorded the number of customers who ordered each of four sandwiches available.
Here, Total number of sandwiches = 160 + 100 + 180 + 60
= 500
Hence, the probability that the next customer that comes to the deli will order a ham sandwich is.,
⇒ 160 / 500
⇒ 16/50
⇒ 8/25
⇒ 0.32
And, the probability that the next customer that orders from the deli will NOT order a cheese sandwich is,
⇒ 1 - 100/500
⇒ 1 - 1/5
⇒ 4/5
⇒ 0.8
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Select the correct answer.
As a part of a promotional campaign, a radio station decides to give away prizes to the 5th caller before and after the 11th caller to the
radio station.
The following absolute value equation can be used to determine the callers who are eligible for the prizes:
|x-111-5.
Here, x represents the position of the eligible callers.
Based on this information, which callers are eligible for the prizes?
O
The 6th caller and the 16th caller are eligible for the prizes.
The 5th caller and the 6th caller are eligible for the prizes.
The 5th caller and the 16th caller are eligible for the prizes.
The 5th caller and the 11th caller are eligible for the prizes.
PLS ITS A TEST
Answer:The correct answer is: The 5th caller and the 16th caller are eligible for the prizes.
Step-by-step explanation:
The correct answer is: The 5th caller and the 16th caller are eligible for the prizes.
To find the eligible callers, we need to solve the absolute value equation:
|x - 111| = 5
This equation has two solutions:
x - 111 = 5 or x - 111 = -5
Solving for x in each case, we get:
x = 116 or x = 106
Therefore, the 5th caller is the one who calls in the 106th position, and the 16th caller is the one who calls in the 116th position.
Answer: The 6th caller and the 16th caller are eligible for the prizes.
Step-by-step explanation: correct for plato
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The options that have the same solution as the rewritten equation 2.3p - 10.1 = 6.49p - 4 are:
Option 2) 2.3p - 10.1 = 6.49p - 4
Option 5) 2.3p - 14.1 = 6.4p - 4
Both of these options are equivalent to the rewritten equation and have the same solution.
To rewrite the given equation, we can combine like terms and simplify:
2.3p - 10.1 = 6.5p - 4 - 0.01p
First, let's simplify the right side of the equation:
6.5p - 4 - 0.01p = 6.49p - 4
The equation becomes:
2.3p - 10.1 = 6.49p - 4
Now, we can compare the rewritten equation to the options provided:
2.3p - 10.1 = 6.4p - 42.3p - 10.1
= 6.49p - 4230p - 1010
= 650p - 400 - p23p - 101
= 65p - 40 - p2.3p - 14.1
= 6.4p - 4.
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A rectangle has a length of 7 millimeters and an area of 203 square millimeters. What is the width? What is the perimeter?
Required width is 29 millimeters and perimeter is 72 millimeters.
What is width of rectangle?Given, Length of rectangle (L) = 7 millimeters
Area of the rectangle = 203 square millimeters
We know that, area of rectangle = Length × Width = L × W
According to the problem,
[tex]\sf L\times W = 203[/tex]
[tex]\sf \Rightarrow 7\times W=203[/tex]
[tex]\sf \Rightarrow W = \dfrac{203}{7}[/tex]
[tex]\sf \Rightarrow W = 29[/tex]
So, Width of rectangle = 29 millimeters
What is perimeter of rectangle?Perimeter of rectangle = 2 × (Length + Width)
[tex]\sf = 2\times(L+W)[/tex]
[tex]\sf = 2\times(7+29)[/tex]
[tex]\sf = 2\times36[/tex]
[tex]\sf = 72 \ millimeters[/tex]
So, perimeter of rectangle = 72 millimeters
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URGENT!!!! Please give correct answer for brainliest :)
A data set consists of these points: (2, 4), (4, 7), (5, 12).
Malinda found the regression equation to be ≤ = - 2.5x -
1.5. Is she correct?
Answer: YES, She is correct
Answer:
B. No. Both a and b are incorrect.
Step-by-step explanation:
Solve the systems of inequalities graphically on the set of axes below.Label the solution set S.
2x + 3y <9
2y ≥ 4x + 6
The solution to the systems of inequalities graphically is shaded S
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
2x + 3y < 9
2y ≥ 4x + 6
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
This region is labelled S
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a six-sided die is thrown 50 times. the numbers of occurrences of each face are shown below. can you conclude that the die is not fair?
To determine if the die is fair or not, we can perform a chi-square goodness-of-fit test. The null hypothesis for this test is that the observed frequencies match the expected frequencies, assuming the die is fair.
We can set the expected frequency for each face to be 50/6 = 8.33 (since there are six faces on the die and 50 total throws).
Next, we calculate the chi-square test statistic by comparing the observed frequencies to the expected frequencies. Using the formula:
χ² = ∑((O - E)² / E), where O is the observed frequency and E is the expected frequency.
Once we have the test statistic, we compare it to the critical value from the chi-square distribution with (number of categories - 1) degrees of freedom (in this case, 6 - 1 = 5) at a chosen significance level (e.g., 0.05). If the test statistic exceeds the critical value, we reject the null hypothesis and conclude that the die is not fair.
It's not possible to perform the chi-square test without the observed frequencies for each face of the die. Please provide the observed frequencies for each face, and I can help you analyze the data to determine if the die is fair or not.
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the quadrilateral is circumscribed about the circle. find the value of x. then find the perimeter of the quadrilateral.
The value of x is: x = 6, while the perimeter of the quadrilateral is calculated as: 52 units.
How to Find the Perimeter of the Quadrilateral?Based on the tangent theorem (two tangents meeting at the same point outside a circle have the length), we have:
x + 2 = 8
x + 2 - 2 = 8 - 2
x = 6
The value of x in the circumscribed quadrilateral is therefore, 6 units.
Using the same theorem the perimeter of the quadrilateral can be found by adding all sides of the quadrilateral as follows:
perimeter = 8 + 8 + 5 + 5 + 9 + 9 + 4 + 4
Perimeter = 52 units.
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for the next 21 days that sasha travels to work, what is the probability that sasha will experience a delay due to traffic on at least 3 of the days?
The probability of experiencing exactly k delays in n days is given by:
P(X = k) = (nCk) * p^k * (1 - p)^(n - k)
To calculate the probability that Sasha will experience a delay due to traffic on at least 3 of the next 21 days, we need to consider the probability of experiencing a delay on each individual day and then use the binomial distribution.
Let's assume that the probability of experiencing a delay on any given day is p. The probability of not experiencing a delay on a single day is 1 - p.
Using the binomial distribution formula,
In this case, we want to find the probability of experiencing at least 3 delays, which means we need to calculate the probabilities for k = 3, 4, 5, ..., 21 and sum them up.
P(at least 3 delays) = P(X = 3) + P(X = 4) + P(X = 5) + ... + P(X = 21)
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URGENT! Pleasee help me for brainliest :)
A line of best fit was drawn for 6 data points. What is the maximum number of these data points that may not actually be on the line?
A. 6
B. 3
C.5
D. 4
The maximum number of points that may not be on the line is given as follows:
A. 6.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
When we insert the points on a calculator, we get a linear function that is obtained using the mean and sum of squares of coefficients. This means that the line has on average the least distance to the points, but it can happen that none of the points is exactly on the line.
Hence option A is the correct option in the context of this problem.
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Given the circle below with secant EFG and IHJ find the length of EF round to the nearest 10th if necessary
Answer:
EF ≈ 23.3
Step-by-step explanation:
given 2 secants drawn from an external point to the circle.
then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant , that is
GF × GE = GH × GI
8 × GE = 10 × (10 + 15) = 10 × 25 = 250 ( divide both sides by 8 )
GE = 31.25
then
EF = GE - GF = 31.25 - 8 = 23.25 ≈ 23.3 ( to the nearest tenth )
consider two populations of coins, one of pennies and one of quarters. a random sample of 25 pennies was selected, and the mean age of the sample was 32 years. a random sample of 35 quarters was taken, and the mean age of the sample was 19 years. for the sampling distribution of the difference in sample means, have the conditions for normality been met?
The conditions for normality have been met for the sampling distribution of the difference in sample means of two populations of coins (pennies and quarters) where a random sample of 25 pennies was selected, and the mean age of the sample was 32 years, and a random sample of 35 quarters was taken, and the mean age of the sample was 19 years.
For each of the samples, the sample size is sufficiently large (n1 = 25, and n2 = 35), and we have no information about the population distribution. We can use the Central Limit Theorem to conclude that the sampling distribution of the difference in sample means is approximately normal.
Population standard deviation is known or the sample size is sufficiently large: We do not know the population standard deviation of the two populations. Therefore, we must ensure that the sample size of each group is large enough to justify using the Central Limit Theorem.
Both the sample sizes (25 and 35) are greater than 30. Therefore, the sample size is sufficiently large, and we can use the Central Limit Theorem to assume that the sampling distribution of the difference in sample means is approximately normal.
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Convert 8 degrees to a radian
Answer:
YOUR ANSWER IS 0.139626
Step-by-step explanation:
HAVE A NICE DAY.
Y=3x+6 and 6x+2y=8. For what value x do the two equations each give the same value for y?
To find the value of x for which the two equations give the same value for y, we can set the expressions for y in both equations equal to each other and solve for x.
Given:
Equation 1: y = 3x + 6
Equation 2: 6x + 2y = 8
Substitute the expression for y from Equation 1 into Equation 2:
6x + 2(3x + 6) = 8
Simplify and solve for x:
6x + 6x + 12 = 8
12x + 12 = 8
12x = 8 - 12
12x = -4
x = -4/12
x = -1/3
Therefore, when x = -1/3, the two equations will have the same value for y.
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the figure shown represents a plot of land and is drawn using a scale in which 1 cm equals 2 miles. one square mile is 640 acres. how large is the actual plot of land, in acres?
The area of the actual plot of land, in acres is given by 320000 acres.
Here given the figure is a Trapezium.
We know that the area of the Trapezium with parallel sides of length ' a ' and ' b ' and height between them is ' d ' is given by = (1/2)*(1 + b)*d
We know that, 1 cm = 2 miles.
So, 10 cm = 20 miles
15 cm = 15*2 = 30 miles
Here in given trapezium the length of parallel sides are 10 cm and 15 cm. that is 20 miles and 30 miles respectively.
Height between them is = 10 cm = 20 miles.
So the area of the land is = (1/2)*(20 + 30)*20 = 50*10 = 500 square miles.
we know that 1 square miles = 640 acres
So the area in acres = 500*640 = 320000 acres.
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The question is incomplete. The complete question will be -
"The figure shown represents a plot of land and is drawn using a scale in which 1 cm equals 2 miles. one square mile is 640 acres. how large is the actual plot of land, in acres?"
there are 5 red marbles, 6 yellow marbles, and 7 blue marbles. You pick exactly three marbles without replacement, one at a time. What is the probability that the first two marbles will be red and the third one will be blue?
The probability that the first two marbles will be red and the third one will be blue is 35/2448
The probability of picking a red marble on the first draw is 5/18, and given that the first marble was red, the probability of picking another red marble on the second draw is 4/17 (since there are now only 4 red marbles left out of 17 total marbles).
Finally, given that the first two marbles were red, the probability of picking a blue marble on the third draw is 7/16 (since there are now 7 blue marbles left out of 16 total marbles).
To find the overall probability of this sequence of events, we multiply the probabilities of each individual event.
Therefore, the probability of picking two red marbles and one blue marble in this specific order is:
(5/18) × (4/17)× (7/16)
= 0.0285
Therefore, the probability of this specific sequence of events is 0.0285
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The price of a new car is $12,000. Assume an individual makes a down payment of 25% toward the purchase of the car and secures financing for the balance at the rate of 8%/year compounded monthly.
What monthly payment will she be required to make if the car is financed over a period of 48 months? What will the interest charges be if she elects the 48-month plan? Round your answers to the nearest cent. a. R= $243.25; interest charges= $1,546.56 b. R= $243.25; interest charges= $1,510.72 c. R= $219.72; interest charges= $1,510.72 d. R= $219.72; interest charges= $1,546.56
Answer:
The price of the car is $12,000. The individual makes a down payment of 25%, so the loan amount is $9,000. The interest rate is 8% compounded monthly, so the monthly interest rate is 0.08/12 = 0.00667. The loan term is 48 months, so the number of payments is 48.
The monthly payment is calculated using the following formula:
Monthly payment = Loan amount * (Monthly interest rate) / (1 - (1 + Monthly interest rate) ^ (-Number of payments))
Monthly payment = $9,000 * (0.00667) / (1 - (1 + 0.00667) ^ (-48))
Monthly payment = $219.72
The total interest charges are calculated using the following formula:
Total interest charges = Total payments - Loan amount
Total interest charges = 48 * $219.72 - $9,000
Total interest charges = $1,510.72
Therefore, the correct answer is: c. R= $219.72; interest charges= $1,510.72.
Step-by-step explanation:
suppose that 1% of the students at a particular college have the h1n1 influenza virus. 1. if a student gets together with 27 other college students over a period of time, what is the theoretical probability that at least one of those 27 students has the h1n1 influenza virus? show as a percentage with 3 decimal places.
There is a theoretical probability of approximately 26.2% that at least one of the 27 students in the group has the H1N1 influenza virus.
To calculate the theoretical probability that at least one of the 27 students has the H1N1 influenza virus, we can use the complement rule. The complement of the event "none of the 27 students have the H1N1 influenza virus" is the event "at least one of the 27 students has the H1N1 influenza virus."
The probability that a student does not have the H1N1 influenza virus is 1 - 0.01 = 0.99. Since the students are selected independently, the probability that none of the 27 students have the virus is (0.99)^27.
Using the complement rule, the probability that at least one of the 27 students has the H1N1 influenza virus is:
1 - (0.99)^27 ≈ 0.262
Expressed as a percentage with 3 decimal places, the theoretical probability is approximately 26.2%.
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Madeline has $680 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $318.67.
She buys 2 bicycle reflectors for $12.89 each and a pair of bike gloves for $30.57.
She plans to spend some or all of the money she has left to buy new biking outfits for $78.20 each.
Write and solve an inequality which can be used to determine x, the number of outfits Madeline can purchase while staying within her budget.
The inequality is x + $318.67 + $12.89 + $30.57 + $78.20 ≤ $680. The value of 'x' is $226.78.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let 'x' be the remaining amount. Then the inequality is calculated as,
x + $318.67 + $12.89 + $30.57 + $78.20 ≤ $680
Simplify the inequality, then we have
x + $318.67 + $12.89 + $30.57 + $78.20 ≤ $680
x + $453.22 ≤ $680
x ≤ $226.78
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Identify the given statement as either true or false. The standard deviation can be negative. (This is a reading assessment question Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below False True
The given statement "The standard deviation can be negative" is false.
The standard deviation is a measure of dispersion or variability in a dataset. It represents the average amount of deviation or spread of the data points from the mean. By definition, the standard deviation is always a non-negative value or zero. It cannot be negative because it measures the distance of each data point from the mean, which is always a positive value.
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Glenwood High School is constructing a new concrete basketball court that will need 60 cubic yards of concrete. When mixed, one bag of concrete will fill 0.5 cubic yards. The school ordered more than enough concrete to completely fill in the court.
Answer:To completely fill in the basketball court, Glenwood High School will need 60 cubic yards of concrete.
Since one bag of concrete fills 0.5 cubic yards, we can calculate the number of bags needed by dividing the total cubic yards by the cubic yards per bag:
Number of bags = 60 cubic yards / 0.5 cubic yards per bag
Number of bags = 120 bags
Therefore, Glenwood High School needs to order at least 120 bags of concrete to completely fill in the basketball court. Since the school ordered more than enough concrete to completely fill in the court, they likely ordered more than 120 bags of concrete.
Step-by-step explanation:
Given z1=18(cos225 + isin225) and z2=3(cos240 + isin240) what is the product of z1 and z2
The product of z1 and z2 is 81/2 + 27i*sqrt(6)/2 by using trigonometric identities.
To find the product of z1 and z2, we can use the formula for multiplying complex numbers:
z1 * z2 = (18*cos225 + 18i*sin225) * (3*cos240 + 3i*sin240)
Using trigonometric identities, we can simplify this expression:
z1 * z2 = 54*cos225*cos240 + 54i*sin225*cos240 + 54i*cos225*sin240 + 54*sin225*sin240
Now we can use the values of cosine and sine for 225 and 240 degrees:
cos225 = -sqrt(2)/2, sin225 = -sqrt(2)/2
cos240 = -sqrt(3)/2, sin240 = -1/2
Substituting these values, we get:
z1 * z2 = 54*(-sqrt(2)/2)*(-sqrt(3)/2) + 54i*(-sqrt(2)/2)*(-1/2) + 54i*(-sqrt(3)/2)*(-sqrt(2)/2) + 54*(-sqrt(2)/2)*(-1/2)
Simplifying this expression, we get:
z1 * z2 = 81/2 + 27i*sqrt(6)/2
Therefore, the product of z1 and z2 is 81/2 + 27i*sqrt(6)/2.
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hailey is using the distributive property to mentally compute the product 7(18). if she rewrites 18 as 10 8, and then multiplies using the distributive property, what two products will she add together to get the final product?
To answer your question, Hailey is using the distributive property to simplify the calculation of 7(18). The distributive property allows us to break up a multiplication problem into smaller, more manageable parts.
Hailey has rewritten 18 as 10 + 8, and she will now use the distributive property to calculate 7 times each of these two numbers separately.
So, the two products that Hailey will add together to get the final product are 7 times 10 (which is 70) and 7 times 8 (which is 56).
To check her work, she can add these two products together:
70 + 56 = 126
So, using the distributive property and breaking up 18 into 10 and 8, Hailey can mentally compute the product of 7(18) as 126.
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what is the probability that a random sample of 13 candies results in 3 candies or fewer that are red?
The probability of obtaining 3 candies or fewer that are red in a random sample of 13 candies depends on the probability of selecting a red candy and follows a binomial distribution.
To calculate the probability, we can use the binomial probability formula and sum up the probabilities for each possible outcome (0, 1, 2, and 3 red candies) using the appropriate values for the number of trials, the probability of success (selecting a red candy), and the desired number of successes (3 or fewer). The result will provide the probability that the sample contains 3 or fewer red candies.
The probability of obtaining 3 candies or fewer that are red in a random sample of 13 candies can be calculated using the binomial probability formula. In this case, we are interested in the probability of success (selecting a red candy) and the desired number of successes (3 or fewer red candies) out of a fixed number of trials (13 candies).
The binomial probability formula is given by P(X = k) = C(n, k) * p^k * (1 - p)^(n - k), where P(X = k) is the probability of getting exactly k successes, n is the number of trials, p is the probability of success, and C(n, k) is the binomial coefficient.
To calculate the probability, we need to consider the cases of obtaining 0, 1, 2, and 3 red candies. We can then sum up the probabilities for each case.
For example, if the probability of selecting a red candy is p = 0.4, we can calculate the probabilities for 0, 1, 2, and 3 red candies using the formula and sum them up to find the overall probability.
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beyond struggling pls help
FIND THE FOLLOWING MEASUREMENTS
Check the picture below.
well, ∡CED is the same as ∡CEA and those are right-angles so those are pretty much given, now
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{29}\\ a=\stackrel{adjacent}{20}\\ o=\stackrel{opposite}{CE} \end{cases} \\\\\\ CE=\sqrt{ 29^2 - 20^2}\implies CE=\sqrt{ 841 - 400 } \implies CE=\sqrt{ 441 }\implies \boxed{CE=21} \\\\\\ \stackrel{\textit{since we know the radius CB=29}}{CB-CE = EB\implies }\boxed{EB=8}[/tex]
Answer:
angle CED 90°. CE = 21. EB = 8.
Step-by-step explanation:
angle CED = 90° (right angle).
the radius (centre to edge) is the same right around the circle.
so that means that distance CD = 29.
draw a line from C to D. notice how that has just become an hypotenuse?
we know that DE = 20.
we have a right-angled triangle.
CE² = hypot² - DE²
= 29² - 20²
= 841 - 400
= 441
CE = √441 = 21.
EB must be radius subtract CE. that is, 29 - 21 = 8.
