Suppose a fair die is rolled eight times. find numerical values for the expectation
Order the fractions from least to greatest.
1/3, 2/7, 3/14, 1/6
What is the correct order of the following numbers? -17/10, -2, -(1.2)2
Answer:
The correct order from least to greatest is: [tex]\(-2\), \(-1.7\), \(-1.44\).[/tex]
Explanation:
To determine the correct order of the given numbers, let's first simplify them:
1. [tex]\(-\frac{17}{10}\)[/tex] is equivalent to [tex]\(-1.7\).[/tex]
2. [tex]\(-2\)[/tex] remains as is.
3. [tex]\(-(1.2)^2 = -1.44\), as \(1.2^2 = 1.44\)[/tex] and the negative sign is applied.
Now, we have:
1. [tex]\(-1.7\)[/tex]
2. [tex]\(-2\)[/tex]
3. [tex]\(-1.44\)[/tex]
So, the correct order from least to greatest is: [tex]\(-2\), \(-1.7\), \(-1.44\).[/tex]
The energy saved by recycling one glass bottle is enough to power a washing machine for 10 minuets. How many recycled glass bottles will it take to power a washing machine for one hour?
A box with a square base of side z is 9 times higher than it is wide. Express the volume V of the box as a function of z
Ross and Gabby sold boxes of cookies for their soccer team fundraiser. Ross sold b boxes of cookies, and Gabby sold 35 boxes of cookies. Together they sold a total of 69 boxes of cookies.
Answer:
35 + b = 69
Step-by-step explanation:
is the answer on khan
9 1/ 2 gal of gas into his car. Convert this amount to a decimal.
write the converse of the conditional statement determine weather the converse is true of false if it is false find a counter example if you are 14 years old then you are a teenager
The converse of the conditional statement "If you are 14 years old then you are a teenager" is true. If someone is a teenager, it implies that they are at least 14 years old.
Explanation:The converse of the conditional statement "If you are 14 years old then you are a teenager" is:
If you are a teenager then you are 14 years old.
The converse statement is true because if someone is a teenager, it implies that they are at least 14 years old. However, it does not guarantee that someone who is 14 years old is necessarily a teenager, as there are other age groups within the teenage years.
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mike is buying a large pizza. the pizza cost $8.00 plus $1.00 for each additional topping
In the first half (distance) of a trip, a truck travels at a speed of 70 km/hr. How fast must it go during the second half of the trip to average 80 km/hr for the entire trip? km/hr
To average 80 km/hr for the entire trip, the truck must go at a speed of 80 km/hr during the second half of the trip.
Explanation:To find out how fast the truck must go during the second half of the trip to average 80 km/hr for the entire trip, we can use the concept of average speed. Average speed is calculated by dividing the total distance traveled by the total time taken.
Let's assume the entire trip is made up of two equal halves. In the first half, the truck travels at a speed of 70 km/hr. So, if we consider the distance traveled in the first half to be 'd', the distance traveled in the second half will also be 'd'.
Therefore, the total distance traveled for the entire trip is 2d. Now, to average 80 km/hr for the entire trip, we can use the formula:Average speed = Total distance / Total time
80 km/hr = 2d / Total time
Since the time taken for the first half is the same as the time taken for the second half, we can represent the total time as '2t', where 't' is the time taken for each half.
Substituting the values, we have:80 km/hr = 2d / (2t)
Cancelling out the common factors, we get:80 = d / t
Since the distance traveled in the first half is 'd' and the time taken for the first half is 't', the speed during the second half must be '80' km/hr to average 80 km/hr for the entire trip.
a cleaning service order 7 large bottles and 5 small bottles of cleaning products each large bottle has 122 Oz each small bottle has 68 Oz which is the best estimate of the total amount of cleaning products that cleaning service orders
Final answer:
The best estimate of the total amount of cleaning products that the cleaning service orders is 1,194 Oz.
Explanation:
To find the best estimate of the total amount of cleaning products that the cleaning service orders, we need to calculate the total amount of cleaning products in the large bottles and small bottles separately and then add them together.
Each large bottle has 122 Oz, and the cleaning service orders 7 of them. So the total amount of cleaning products in the large bottles is 7 x 122 = 854 Oz.
Each small bottle has 68 Oz, and the cleaning service orders 5 of them. So the total amount of cleaning products in the small bottles is 5 x 68 = 340 Oz.
To get the best estimate of the total amount of cleaning products, we add the amounts in the large bottles and small bottles together: 854 + 340 = 1,194 Oz.
What is the range for the set of data? 6, 7, 10, 12, 12, 13
An art supply store sells posters for $9 each and pictire frames for $15 each
a.write an expression for the total cost of 6 posters and 6 frames
B. What is the total cost for 6 framed posters?
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?
Yes this represents additive inverse,
Since you are subtracting the same number 4 to get to zero.
The additive inverse of a number is simply the negation of the said number.
The given situation is an illustration additive inverse.
Given that:
[tex]Runs \ up = 4\ stairs[/tex]
[tex]Runs \ down = 4\ stairs[/tex]
Let:
[tex]x \to up[/tex]
[tex]y = down[/tex]
When Arianna runs up, we have:
[tex]x = Runs\ up[/tex]
[tex]x = 4[/tex]
When Arianna runs down, we have:
[tex]y = -Runs\ down[/tex] ---- the minus indicates a downward movement
So, we have:
[tex]y = -4[/tex]
The additive inverse of a number n is -n
E.g. The additive inverse of 7 is -7
By comparing x and y, we have:
[tex]y =-x[/tex] and [tex]x = -y[/tex]
Hence, the situation represents additive inverse.
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Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.
Which equivalent expression could he also use to find the total cost?
A. 15+0.6(15)
B. (1+0.06)15
C. 1+0.06(15)
D.15 + 0.06
Is it possible for a linear function and an exponential funtion to have the indicated number of intersection?
there are 60 treats. he is allowed 2 treats a day. how many treats will he have left after 10 days?
If ∠A and ∠B are supplementary angles and m∠A = 3m∠B, find m∠A and m∠B.
To find the measures of angles ∠A and ∠B, we can use the fact that they are supplementary angles and the given relationship between their measures. By solving a system of equations, we can determine that m∠A is 135 and m∠B is 45.
Explanation:To find the measures of the angles ∠A and ∠B, we need to use the fact that they are supplementary angles and the relationship between their measures. Let's start by understanding what supplementary angles are.
Supplementary angles are two angles that add up to 180 degrees. In this case, ∠A and ∠B are supplementary, so we can write the equation:
m∠A + m∠B = 180
We are also given that the measure of ∠A is three times the measure of ∠B, so we can write another equation:
m∠A = 3m∠B
Now we can substitute m∠A in the first equation with 3m∠B:
3m∠B + m∠B = 180
Combining like terms, we get:
4m∠B = 180
Finally, we can solve for m∠B by dividing both sides of the equation by 4:
m∠B = 45
Since m∠A is three times m∠B, we can find m∠A by multiplying 45 by 3:
m∠A = 135
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What effects does adding a constant have to an exponential function?
Give an example of when you would make a frequency table to solve a problem.
You can use it when like confirming a policy. You can use it when like confirming a policy.
Is 0.8 greater than 0.64
Find the average value of f over region
d. f(x, y) = 7xy, d is the triangle with vertices (0, 0), (1, 0), and (1, 8).
To find the average value of the function f(x, y) = 7xy over the triangular region defined by vertices (0, 0), (1, 0), and (1, 8), compute the area of the triangle and then calculate the double integral of the function over the region, divided by the area. The bounds for the double integral will be defined by the region.
Explanation:To find the average value of f over the given triangular region, we first need to find the area of the region. The given region is a triangle with vertices (0, 0), (1, 0), and (1, 8). This triangle has a base of 1 (the difference in x coordinates) and a height of 8 (the difference in y coordinates), so its area is (1/2)*base*height=(1/2)*1*8=4.
Next, we integrate the function f(x, y) = 7xy over the triangular region, and divide by the area of the region, to find the average value. Setting up and computing the double integral will provide the total value of the function over the region. The bounds for the double integral will be defined by the region, so we will integrate x from 0 to 1 and y from 0 to 8. The average value is then given by the total value divided by the area, or (1/4)*double integral of f(x, y) dy dx.
Without performing the actual calculation, this is the best process to solve the problem as presented.
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Notebooks costs 1.20 each. This weekend they will be on sale for $0.80. What percentage is the sale
Margo borrows $600, agreeing to pay it back with 4% annual interest after 18 months. How much interest will she pay?
Margo will pay $36 in interest after borrowing $600 with a 4% annual interest rate for 18 months. We calculate this using the simple interest formula.
Explanation:The question is asking us to figure out how much interest Margo will pay after borrowing $600 with a 4% annual interest rate, or simple interest rate, over the course of 18 months. A core concept here is understanding how simple interest is calculated.
The simple interest formula we'll be using is: Interest = Principal x Rate x Time. The Principal is the amount of money initially borrowed, Rate is the annual interest rate (in decimal form), and Time is the length of time the money is borrowed for, expressed in years.
So in Margo's case, the Principal is $600, the Rate is 4% (or 0.04 in decimal form), and Time is 18/12 or 1.5 years, because 18 months is equal to 1.5 years.
When we apply these amounts to the formula we get: Interest = $600 x 0.04 x 1.5, which equals $36. So Margo will pay $36 in interest.
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a number cube is rolled and a coin is tossed. What is the probability of rolling a 5 and tossing tails
rolling a 5 is a 1/6 probability
tossing tails is a 1/2 probability
doing both is a 1/6 * 1/2 = 1/12 probability
The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
A swimming pool is circular with a 30-ft diameter. the depth is constant along east-west lines and increases linearly from 1 ft at the south end to 6 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.
What's the answer for this
Give your answer as a reduced proper or improper fraction 16/25 +-3/10
Parallelogram ABCD is a rectangle.
AC=2y+7
BD=3y−4
What is the value of y?
Enter your answer in the box.
Answer:
y = 11
Step-by-step explanation:
~Solve~
Let's solve your equation step-by-step.
2y+7=3y−4
Step 1: Subtract 3y from both sides.
2y+7−3y=3y−4−3y
−y+7=−4
Step 2: Subtract 7 from both sides.
−y+7−7=−4−7
−y=−11
Step 3: Divide both sides by -1.
−y
−1
=
−11
−1
y=11
Answer:
y=11