Which of these shows a correct way to group these objects? Responses A 1 cone, 1 sphere, and 3 rectangular prisms1 cone, 1 sphere, and 3 rectangular prisms B 1 cone, 1 triangular prism, and 3 rectangular prisms1 cone, 1 triangular prism, and 3 rectangular prisms C 1 cone, 1 triangular prism, and 3 cubes1 cone, 1 triangular prism, and 3 cubes D 1 cylinder, 1 triangular prism, and 3 rectangular prisms.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

b*b^5

Step-by-step explanation:

Answer: 17.6

Step-by-step explanation:

16*10/100

160/100

1.6+16

17.6

Answer:

17.6 feet

Step-by-step explanation:

16*10%(or 0.10)= 1.6 feet which is 10% of his 16 foot jump

16+ the 10% increase of 1.6= 17.6 feet as his new record

The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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Answer:

Step-by-step explanation:

Let the unknown number be x;

for Four less than three times a number, it is expressed as (3x-4)

If the number gotten is increased by six times the same number, the equation becomes 3x-4+6x

If they are all equal to 32 then;

3x-4+6x = 32

We are to look for the value of x from the expression;

3x-4+6x = 32

-4+9x = 32

add 4 to both sides

-4+9x+4 = 32+4

+9x = 36

x = 36/9

x = 4

Hence the answer to the unknown number is 4

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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The equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a ]where is the amplitude of the function.

As we know,

The standard form of the sin function is:

y = asin(bx) + c

From the graph, we get the values of a, b, and c

Or

On applying a transformation to the function:

y = sinx

y = 2sinx (function will strech vertically)

y = 2sinx - 2 (function will shift down by 2 units)

y = 2sin(-4x) - 2 ( function will reflect and shrink by factor 4)

Thus, the equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

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Answer: the fraction is 4over 12

Step-by-step explanation:

first you multiply the top and bottom number then u divide the number by the bottom.

Answer:

1/2

Step-by-step explanation:

If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.

The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.

Another example is 1/10 times -50, that would be -5.

Answer:

0=0

Step-by-step explanation:

4(a + 2) + 2 = 4 - 2(-2a - 3)

4a +  8 + 2 = 4 + 4a + 6

4a + 10 = 10 + 4a

0 = 0

Answer:

A

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Answer: 120 beads

Step-by-step explanation:

480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

(so many typos in question so I do not know the names.)

Answer: 120

Step-by-step explanation:

480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

The x-coordinate at which F(x) = G(x) is 0.667. By graphing the functions, the answer has been discovered.

Making a graph of the pertinent function is the first step in graphing a function. The function equation will be satisfied by a curve if it reflects the function at that location.

We are given two functions as f(x) = log (2x) and g(x) = 3x - 2

The graph of the given functions has been plotted and attached below.

In the graph, the red line represents the log function i.e. f(x) and the blue line represents the linear function i.e. g(x).

From the graph, we can observe that the two functions meet at two points which are (0.667, 0) and (0, -2).

Hence, the x value where F(x) = G(x) is 0.667.

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Answer: D. 81

Step-by-step explanation:

Box A: 3 possibilites

Box B: 3 possibilites

And so on, so you get 3^4, which is 81

Answer:

Step-by-step explanation:

You want the mean and standard deviation of a binomial distribution with n = 6 and p = 1/2.

You can tell from your table that the distribution is symmetrical about x = 3. That value is the mean.

  μ = 3

If you like, you can compute the sum of products of probability and value according to the formula. The first two lines in the attached calculator display show that. The result is μ = 3.

The attached calculator display shows the sum of products of x² and p(x) is 21/2. Then the standard deviation is ...

  σ = √(21/2 -3²)

  σ = √(3/2) ≈ 1.22

__

Additional comment

It is appropriate to use the exact values of p(x), rather than the rounded values shown in the table.

A calculator or spreadsheet with list-processing capability is useful for this.

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Answer:

We know that out of 500 households;

172 had one car.

207 had two or more cars.

Then the total number that has one or more cars is:

172 + 207 = 379.

Then if 500 is our 100%, we have that 379 represents:

(376/500)*100% = 75.8%

Then the estimate of the percentage of households in California that have one or more cars is 75.8%.

Now, to calculate the standard error of this estimate we need the number of the sample, that we know, and the mean deviation.

The problem here is that we can not really calculate the mean deviation, as we do not really know how many cars have a lot of these people. So we really can not calculate the standard error.

Let's make an estimation, and see why it does not work:

But we can think in the next system.

379 have at least one car.

121 do not have a car.

Then, the "mean" is:

if having one or more cars counts as a 1

not having a car counts as a 0.

M = (379*1 + 121*0)/500 = 0.758

The standard deviation will be:

σ =√((1/500)*(1 - 0.758)^379*(0 - 0.758)^121) = 4*10^-126

This is a really small number, and the standard error is smaller than this (because we divide by square root of 500) Then we can conclude that this estimation of the standard error does not add any useful information to our math.

If we knew the exact number of cars that the people with two or more cars have, we could calculate the standard error of the estimation.

Answer:

asking 10 students wearing football jerseys each day for a week

Step-by-step explanation:

if students come to school wearing a football jersey then more than likely their favorite sport is football which means that your results will not be as accurate as the others.

Answer:

3 hours

Step-by-step explanation:

first, you subtract 65 from 320 to cover the diagnostic check.

Then, you subtract 85 from the remaining cash three times and you'll get 0

Answer:

they divied the turkey into 14 pices

Step-by-step explanation:

Answer:

They are in conflict.

Step-by-step explanation:

for statement (a) we have child gunshot deaths doubling every year. So if it was 1 death in 1950, it is 2 in 1951, 4 in 1952, 8 in 1953, 16 in 1954. That would make the deaths in 1994 = (deaths in 1950) x 2 x 2 x 2 x 2 ... with 44 factors of 2. That number is over a trillion.

for statement (b) we have child gunshot deaths doubling over a period of 44 years, which might even be true

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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Answer:

x=18

Step-by-step explanation:

In this question we can use the Geometric mean of leg theorem

The theorem states that the hypotenuse/leg 2 = leg 2/part 2

In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.

Plugging the given values in, we get

72/x+18=x+18/x

We can then simplify it.

(x+18)^2=72x

x^2+36x+324=72x

x^2-36x+324=0

That is equal to (x-18)^2

So, x=18

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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120 m³ is cubic meters is the shed.

What in math is a cube?

The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. Also said to be a conventional hexahedron. Due to the fact that a cube is three dimensional, the space it occupies will also be three dimensional.

                            Six square faces surround a cube, hence combining the areas of all six square faces will yield the surface area. The cube formula's surface area is as a result. Cube surface area equals 6 (sides).

w = 6 m

 l = 4 m

 h = 5 m

  a rectangular shed = 6 * 4 * 5

                                   = 120 m³

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Answer:

Numer 6 answer is (7.7

Step-by-step explanation:

Sry I don't know the rest

Answer: The answer is 35.43 feet rounded to the nearest hundredth.

Step-by-step explanation:  

Answer:

The answer is 35.43 feet rounded to the nearest hundredth.

Step-by-step explanation:

If it is a square and the area is 1,255, the width and height of the square is the same. Find the square root of 1,255 and it will give you the length of the height and width (they are both the same being a square).

If the current prime rate is 9%, the new balance is calculated as approximately:  c. $20,276.10.

The interest rate charged on the line of credit is prime rate plus 3%, and the current prime rate is 9%, so the interest rate is 12%. To find the new balance, we need to calculate the interest charged and add it to the current balance.

From March 1 to March 5, Your Office Supply borrowed $7,500 at the interest rate of 12% for 4 days:

Interest = $7,500 x 0.12 x (4/365) = $12.33

New balance on March 5 = $10,600 + $7,500 + $12.33 = $18,112.33

From March 5 to March 14, Your Office Supply had a balance of $18,112.33, so the interest charged is:

Interest = $18,112.33 x 0.12 x (9/365) = $44.94

New balance on March 14 = $18,112.33 - $3,300 + $44.94 = $14,857.27

From March 14 to March 18, Your Office Supply had a balance of $14,857.27, so the interest charged is:

Interest = $14,857.27 x 0.12 x (4/365) = $6.46

New balance on March 18 = $14,857.27 + $5,300 + $6.46 = $20,163.73

Therefore, the new balance on the line of credit is $20,163.73, which is closest to option c. $20,276.10.

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Answer:

7g + 33

Step-by-step explanation:

distribute first to get:

5g + 25 + 2g + 8

combine 'like' terms to get:

7g + 33