The distance between bus stops A and C is exactly 1 km.
To find the distance between bus stops A and C, we can use the fact that the distance from A to D is 1 km and the distance from C to D is 5 km.
This means that the total distance from A to C, passing through D, is 6 km (1 km + 5 km).
However, we need to subtract the distance between B and D (3 km) and the distance between B and C (2 km) since we don't want to double count the stretch between B and D.
Therefore, the distance between A and C is 6 km - 3 km - 2 km = 1 km.
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A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?
A) 261.8
B) 785.4
C) 916.3
D) 1047.2
Important notice:
/\2 = Power 2
Answer:
D. 1,047.2
Step-by-step explanation:
The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.
The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.
The formulas volume of cylinder πr /\2 h and volume of cone 1/3 πr/\2h can be used to determine the tatol volume of the silo.
Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:
V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)
= ( 4/3 ) (250)π
= 1,047.2 cubic feet.
which is greater 11/12 10/12
Answer:
11/12 is greater
Step-by-step explanation:
Brainliest?
Answer:
11/12
hope that helped <3
Write the equation of the line that passes through the points (0,–2) and (4,5). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
5+2/4-0=7/4
7/4=y+2/×-0
y=7x/4-2
Answer:
y+2=7/4(x+0)
Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.
Answer:
6 is this answers to find
Answer:
9 omelets
Step-by-step explanation:
She used 12 eggs in the morning so 39-12= 27 then 27/3 = 9
Hope that helps!
Which of the following would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls?
a. At-score
b. Az score
c. A deviation coefficient
d. A variance determination
The z-score would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls. So, the answer to the given question is option B) Az score.
What is a z-score?The z-score is a standard score that indicates how many standard deviations an observation is from the mean. A z-score expresses the difference between a measurement and the mean in units of standard deviation. It is calculated as follows: Z-score= (score – mean) / standard deviation
The z-score is frequently utilized in statistics as an index of the likelihood that a result will occur. It is often utilized to determine whether a value is significantly different from the average. It is also known as a standard score or a normal deviate.
The z-score indicates how many standard deviations an observation is from the mean. A positive z-score indicates that the measurement is above the mean, whereas a negative z-score indicates that the measurement is below the mean. A z-score of zero indicates that the score is equal to the mean.
Hence, the answer to the given question is option B) Az score.
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an italian sausage is 8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch?
12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.
Define division.Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.
Divide 8 by 2/3
8÷ 2/3
8× 3/2
12
12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.
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Which of the following sets of numbers could not represent the three sides of a righttriangle?{36, 76,85}Submit Answer{7, 24, 25){6,8,10}{21, 28, 35)
ANSWER:
\(\mleft\{36,76,85\mright\}\)STEP-BY-STEP EXPLANATION:
The right angles fulfill the Pythagorean theorem which is the following
\(h^2=a^2+b^2\)We evaluate each option, replacing:
\(\begin{gathered} 25^2=7^2+24^2\rightarrow625=625\text{ correct option} \\ 85^2=36^2+76^2\rightarrow7225=7072\text{ incorrect option} \\ 10^2=6^2+8^2\rightarrow100=100\text{ correct option} \\ 35^2=28^2+21^2\rightarrow1225=1225\text{ correct option} \end{gathered}\)Write an equation in slope intercept form given m= -25 and point (30,450)
Please help me find the answer
Answer:
\(x = 28 {}^{o} \)
Step-by-step explanation:
hopefully this helps you
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Answer: 28 degrees D
Step-by-step explanation: The whole angle is 90 and the other angle (not x) is 62 so 90 minus 62 is 28
Julian is deciding between two different movie streaming sites to subscribe to. Plan A costs $5 per month plus $2.50 per movie watched. Plan B costs $29 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Julian watches xx per month, and let BB represent the monthly cost of Plan B if Julian watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Julian plans on watching 11 movies each month.
A;
5 + 2.5xx = AA
B;
20 + 0.5xx = BB
A: 5 + 2.5 • 11
B: 20 + 0.5 • 11
A = 32.5
B = 25.5
Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?
Answer in scientific notation: 8.3x10^-3
Help me pls????????????????????????????????????????????????/
Answer: $8 for each person
Step-by-step explanation: If we divide the $32 by how many people there are(4) we get 8. We can check if this answer is correct by doing the opposite of division, multiplication. So 4 x 8 = 32. Hope this helps! :)
Find 2x^3-x^3+4x+7 divided by x+3
Answer:
(x^3+4x+7)/(x+3)
Step-by-step explanation:
you just combine the like terms on the top and put it in a fraction. let me know if that helped.
a map of Texas uses the scale of 1.5 to represent 60 miles the distance between corpus Christi to Houston is 60 miles what is the distance in inches between the cities on the map
Answer:ahhhh
Step-by-step explanation:
I hope this helps
the area of a circle is the product of Pi and the radius r squared
Answer: Pi is sometimes given the value 22 over 7 which is approximately 3.14.
n:
For a more accurate approximation, you should have a pi button on your calculator. The formula for area equals pi times the radius squared, R stands for the radius measurement of the circle. So the formula is area equals pi R squared.
The area of the required circle would be 314.28 square units which is radius 5 units.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
We have been given that radius of a circle is 5 units.
So here r = 5 units
the area of a circle = πr²
the area of a circle = π(5)²
the area of a circle= 25(3.14)
the area of a circle = 314.28 square units
Hence, the area of the required circle would be 314.28 square units which is radius 5 units.
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The question seems to be incomplete the correct question would be
If the area of a circle is the product of Pi and the radius r squared.
Find the area of a circle if radius is 5 units.
If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.5, then P(A ∩ B) =
a. 0.10
b. 0.90
c. 0.00
d. 0.20
The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.
In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.
Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.
To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.
In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.
Therefore, the correct answer is: c. 0.00
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Two students are playing a game. If a player spins a one or a three, he/she gets an extra turn. What is the probability that a player will get an extra turn?
The probability that a player will get an extra turn is 1/2 or 50%.
There are four possible outcomes when a player spins the spinner: 1, 2, 3, or 4. The probability of spinning a one or a three is 2/4 or 1/2, since there are two favorable outcomes out of four equally likely outcomes.
If a player spins a one or a three, they get an extra turn, which gives them another chance to spin the spinner. Since the probability of spinning a one or a three is 1/2, the probability of getting an extra turn is also 1/2.
Therefore, the probability that a player will get an extra turn is 1/2 or 50%.
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If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
$20
$350
$160
$2
Answer:
It is 350
Step-by-step explanation:
Answer:
A. $20
Step-by-step explanation:
Multiply 400 by .05 or 5%.
Calculate the reliability of the following system:
0.90 0.90
0.90 0.90 0.85
0.85 0.85 0.92
The reliability of the given system is 0.4033.
To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:
Component 1: 0.90
Component 2: 0.90 0.90 0.85
Component 3: 0.85 0.85 0.92
To find the overall system reliability, we multiply these values together:
System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability
System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)
System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033
Therefore, the reliability of the given system is 0.4033.
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(PLSS HELP NOW!!!!) Select the statement that describes this expression: 10 + fraction 1 over 4 x (5 + 3) − 3.
Group of answer choices
A. 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
B. fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3
C. 3 more than 3 plus 5 multiplied by fraction 1 over 4 , then add 10
D. 10 times fraction 1 over 4 plus 3 and 5, minus 3
By answering the presented question, we may conclude that As a result, expression the right answer is A.
what is expression ?An expression in mathematics is a collection of representations, digits, and huge corporations that depict a causative link or regimen. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
The order of operations (PEMDAS) may be used to simplify the formula 10 + fraction 1 over 4 x (5 + 3) 3 as follows:
Then, we do the following operation: 5 + 3 = 8.
So we multiply 8 by 1/4 to get 2: 8 x 1/4 = 2.
Then we multiply 10 by 2: 10 + 2 Equals 12.
Lastly, we deduct three from twelve: 12 - three = nine.
As a result, the phrase is described as "10 greater than fraction 1 over 4 of the sum of 5 and 3, then deduct 3."
As a result, the right answer is A.
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Answer:
23543
Step-by-step explanation:
Im just a big brain, and already solved it.
kathy has been undergoing treatment for bulimia. there is an above-average probability that one or more members of kathy's family have a problem with:
There is an above-average probability that one or more members of Kathy's family have a problem with eating disorders.
It is well-established that eating disorders like bulimia have a genetic component, which means that they tend to run in families. Therefore, there is an above-average probability that one or more members of Kathy's family have a problem with eating disorders.
However, it's important to note that not all cases of bulimia are caused by genetic factors alone. Environmental and psychological factors can also play a significant role in the development of the disorder. Therefore, it's possible that Kathy's family members may not have a history of eating disorders, even if she does.
Overall, the exact probability of one or more members of Kathy's family having a problem with eating disorders would depend on a number of factors, including her family history, hereditary factors, and environmental factors. It's important for Kathy to seek professional help and support for her bulimia, regardless of whether or not other family members have a history of eating disorders.
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please show work
23 lbs of onions cist $250.70. How much will 50 lbs cost
Answer:
$545.00
Step-by-step explanation:
250.7 / 23 = 10.9
$10.9 is the cost of every lb of onions.
Then we multiply 10.9 by 50 because there are 50 lbs. like this
10.9 * 50 = 545
So $545.00 is our answer.
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD
Answer:
m∠ABD = 126°
Step-by-step explanation:
if both angles make a linear pair then their sum equals to 180°
you can solve for x
m∠ABD + m∠CBD = 180
6x-12 + x+31= 180
7x + 19 = 180
7x = 161
x=23; now solve for
m∠ABD = 6x - 12 = 6(23) - 12 = 126°
The required measure of m ABD is 23.
What are linear pair of angle?In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Now it is given that,
m ABD = 6x - 12 and m CBD = x + 31
Since, ABD and CBD form a linear pair
m ABD + m CBD = 180°
6x - 12 + x + 31 = 180°
7x + 19 = 180°
⇒ 7x = 180° - 19
⇒ 7x = 161
⇒ x = 161/7
⇒ x = 23
Thus, the required measure of m ABD is 23.
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you are constructing an open top box for your cat to sleep in. the plush material for the square bottom of the box costs $4 /ft2 and the material for the sides costs $2 /ft2 . you need a box with volume 4ft3 . find the dimensions of the box that will minimize the cost.
The dimensions of the box that minimize the cost are: Length = Width = 2^(1/3) ft and Height = 1/(2^(2/3)) ft, We can also compute the minimum cost as: Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42
To find the dimensions of the box that will minimize the cost, we need to use optimization techniques. Let's start by defining the variables:
Let L be the length of the base of the box.
Let W be the width of the base of the box.
Let H be the height of the box.
The volume of the box is given as 4 ft3, so we have:
L × W × H = 4
We want to minimize the cost of the box, which is given by:
Cost = (2LH + 2WH) × 2 + LW × 4
where the first term represents the cost of the sides (which have a height of H and a length of L or W) and the second term represents the cost of the bottom (which has an area of LW).
Now, we can use the volume equation to solve for one of the variables in terms of the other two. For example, we can solve for H:
H = 4/(LW)
Substituting this into the cost equation, we get:
Cost = 4L + 4W + 16/(LW)
To find the dimensions that minimize the cost, we need to find the critical points of this function. Taking the partial derivatives with respect to L and W, we get:
dCost/dL = 4 - 16/(L^2W)
dCost/dW = 4 - 16/(LW^2)
Setting these equal to zero and solving for L and W, we get:
L = W = 2^(1/3)
(Note that we need to check that this is a minimum by verifying that the second partial derivatives are positive.)
Substituting these values into the volume equation, we get:
H = 1/(2^(2/3))
Therefore, the dimensions of the box that minimize the cost are:
Length = Width = 2^(1/3) ft
Height = 1/(2^(2/3)) ft
We can also compute the minimum cost as:
Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42
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Use the distributive property to simplify the following expression:
1/3 (9-6n)
Answer:
3 - 2n
Step-by-step explanation:
Given the function h(x)=-x^2+10x+32 determine the average rate of change of the function over the interval 3≤x≤11
The average rate of change is 4
Explanation:Given:
h(x) = -x²+ 10x + 32
The interval is 3≤x≤11
To find:
The rate of change for the given interval
To find the above, we will apply the formula for rate of change:
\(\begin{gathered} A(x)\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ h(x)\text{ = -x^^b2+ 10x + 32 } \\ A(x)\text{ = }\frac{h(x_2)\text{ - h\lparen x}_1)}{x_2-x_1} \end{gathered}\)\(\begin{gathered} interval\text{ is }3≤x≤11 \\ x_1\text{ = 3, x}_2\text{ = 11} \\ when\text{ x = 3} \\ h(x)\text{ = -\lparen3\rparen}^2\text{ + 10\lparen3\rparen + 32} \\ h(x)\text{ = 53} \\ \\ when\text{ x = 11} \\ h(x)\text{ = -\lparen11\rparen}^2\text{ + 10\lparen11\rparen + 32} \\ h(x)\text{ = 21} \end{gathered}\)\(\begin{gathered} Average\text{ rate of change = }\frac{53\text{ - 21}}{11\text{ - 3}} \\ \\ Average\text{ rate of change = }\frac{32}{8} \\ \\ Average\text{ rate of change = 4} \end{gathered}\)Last questions, ¼×⅗, ⅓×11, 4/9×⅜.please answer in only full numbers and fractions.
? Question
Select the correct answer from each drop-down menu.
Simplify the expressions.
32 =
¡25 =
¡86 =
¡51 =
Answer:
i^32=1
i^25=i
i^86=-1
i^51=-i
Step-by-step explanation:
Follow the Rule of Four of I for this,
i^1=\(\sqrt{-1}\)
I^2=-1
I^3=-i
I^4=1
Answer: first one is 1
Second one is i
Third one is -1
Fourth one is -1
Step-by-step explanation:
Estimate and then solve using the standard algorithm. Box your
final answer
234x23=
The final answer by using standard algorithm is 5382.
Given expression: 234 x 23
Estimation:In order to estimate the value of the product, we can round the values to the nearest ten.
We have 230 and 20.
So the product would be 230 x 20.
Let's perform the multiplication:230 20______4600
Standard Algorithm:Now, let's solve the given expression using the standard algorithm.
We need to multiply each digit of the second number by each digit of the first number and then add the results.
234 × 23 ________ 1404 468 4680 ________ 5382
Boxed final answer is: 5382.
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