Which choice correctly compares two decimals?
A 2.17 > 2.0172.17 > 2.017
B 2.018 > 2.172.018 > 2.17
C 2.16 < 2.0172.16 < 2.017
D 2.17 = 2.017

Answer:

I can't explain this discrepancy other than to suggest that they are talking about 2 different groups.  The boss has included his salary in the average, but the employee is only concerned about the wage of the average worker.

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

From the question, we are informed that Johnny has 30 marbles while Mark has m marbles.

Since Johnny has 10 times as many marbles as Mark, it means that Johnny has: = 10 × m = 10m

Therefore, 10m = 30

m = 30/10

m = 3

Mark has 3 marbles

Answer:

\(b. \: \: 32\)

Step-by-step explanation:

\(4(x - 2)\)

\(4(10 - 2)\)

\(4(8)\)

\(32\)

Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.

Answer:

Mean = 92

Median = 95.5

There is no mode.

What is mean, median, and mode?

Mean, median, and mode are terms in math when it comes to looking at charts and sets/groups of numbers.

1. The mean is the average of a data set.

2. The median is the middle of a data set.

3. The mode is the most common number in a data set.

Mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Before we start, let's put the set of numbers in order from least to greatest,

95, 97, 100, 86, 78, 96

78, 86, 95, 96, 97, 100

Now that we have done that let's find the mean,

78 + 86 + 95 + 96 + 97 + 100 = 552

There are 6 numbers in this set so we need to divide 552 by 6,

552 ÷ 6 = 92

92 is the mean/average of this data set,

Now let's find the median,

If we take a look at the data set we can see that there are two numbers in the middle because there are 6 in total,

78, 86, 95, 96, 97, 100

Because there are two values that are in the middle we need to add them up and divide the sum of them by 2,

95 + 96 = 191

191 ÷ 2 = 95.5

95.5 is the median of this data set,

Now let's find the mode,

If we take a look at the date set we can see that none of the numbers are repeated,

So this means there is no mode to this data set,

Therefore the mean is 92, the median is 95.5, and there is no mode.

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

37.8

Step-by-step explanation:

1000 - 300 = 700

I = Prt

I = (700)(1.8%)(3)

I = 37.8

To determine if any flavours of gum are more popular than others, the hypotheses for the company to test are:
Null hypothesis (H0): All flavours of gum are equally popular.
Alternative hypothesis (H1): At least one flavour of gum is more popular than the others.

B) To calculate the P-value, you need to perform a Chi-Square test on the given data. First, calculate the expected frequency for each flavour if they were equally popular. Since there are 80 people in the sample and 4 flavours, the expected frequency for each flavour is 80/4 = 20.
Now, compute the test statistic using the Chi-Square formula:
Χ² = Σ[(observed - expected)² / expected]
Χ² = [(25-20)²/20 + (19-20)²/20 + (22-20)²/20 + (14-20)²/20] = 3.25
With 3 degrees of freedom (number of flavors - 1), the P-value can be found using a Chi-Square distribution table or calculator. For this test statistic, the P-value is approximately 0.354.
C) To test the claim at a 1% significance level, compare the P-value to the significance level (alpha). Since the P-value (0.354) is greater than the significance level (0.01), we fail to reject the null hypothesis.
In conclusion, there is not enough evidence at the 1% significance level to suggest that any flavour of gum is more popular than the others.

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Divide distance by time:

690 meters / 6 minutes = 115 meters per minute

Speed = 115 meters per minute

Answer:

\(\huge\boxed{\sf v = 1.92\ m/s}\)

Step-by-step explanation:

Given Data:

Distance = S = 690 meters

Time = t = 6 min = 6 * 60 = 360 seconds

Required:

Speed = v = ?

Formula:

v = S / t

Solution:

v = 690 / 360

v = 1.92 m/s

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

5

Step-by-step explanation:

A,B and C would be the inside of the plane not outside.

The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

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The following are the formulas for the equired figures:

Rectangular Prism = l·w·h

l: length

w: width

h: height

Sphere = 4/3 ·π·r³

r: radius

Cylinder = π·h·r²

h: height

r: radius of the base

Cone = 1/3·π·r²·h

r: radius of the base

h: height

Triangular prism = 1/2·b·h·l

h: height

l: length

b: base

Answer:

Step-by-step explanation:

cosx=adjacent /h

The correct answer is three squares. To represent 3/5, 3 out of 5 squares need to be shaded.

Fractions written using a numerator (the number on top) and a denominator (the number on the bottom) that indicate how many parts make up the whole.

This can be seen visually if you draw 5 squares in a row and shade in 3 of them. Since fractions are a representation of the part-whole relationship, the numerator of the fraction (3) indicates the number of parts of the whole (5) that are shaded.

Fractions can be used to represent a variety of ratios, from unit fractions (1/2 or 1/3) to more complex fractions (3/5 or 7/9). To answer the question, "How many squares would need to be shaded to represent 3/5?", it is important to understand that the numerator of the fraction (3) indicates the number of parts of the whole (5) that are shaded.

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We need to shade 3/5 or 60% of the small squares in the bigger square which is 54 small squares.

Fractions written using a numerator (the number on top) and a denominator (the number on the bottom) that indicate how many parts make up the whole.

For this problem, we need to shade 3/5 or 60% of the small squares in the bigger square.

To calculate the number of small squares that need to be shaded, we must first calculate the total number of small squares within the bigger square.

We can do this by multiplying the number of squares in the rows(10) by the number of squares in the columns(9), which in this case is

10 x 9 = 90.

Now that we know the total number of small squares, we can calculate the number of small squares that need to be shaded.

To do this, we need to multiply the total number of small squares (90) by  by the fraction we are trying to represent (3/5).

90 x 3/5 = 54.

This means that 54 small squares need to be shaded to represent 3/5.

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Answer: I believe the answer is A.

Step-by-step explanation: Sorry if it's wrong.

The cattleman should bid on cows that weigh at least 944.0 pounds, which is the weight corresponding to the top 5% of the normally distributed weights of cows.

To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the weight distribution.

Using the standard normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:

z = invNorm(0.95) ≈ 1.645

where invNorm is the inverse of the standard normal cumulative distribution function, which can be found using a statistical calculator or a standard normal distribution table.

Next, we can use the z-score formula to convert the z-score to a weight value:

z = (x - μ) / σ

Solving for x, we get:

x = z * σ + μ

Substituting the values given in the problem, we get:

x = 1.645 * 74.8 + 825.0

x ≈ 944.0 pounds

Therefore, the cattleman should bid on cows that weigh at least 944.0 pounds.

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The correct formula for the surface area (SA) of a cylinder with an open top is SA = 2πr² + 2πrh.

To understand why this formula is correct, let's break it down. The surface area of a cylinder consists of two parts: the curved surface area and the area of the two circular bases. The curved surface area can be calculated by multiplying the circumference of the base (2πr) by the height (h). This gives us 2πrh, which represents the lateral surface area of the cylinder.

The area of the two circular bases is given by the formula πr², and since there are two bases, we multiply it by 2πr². Adding these two components together, we get the formula SA = 2πr² + 2πrh, which correctly represents the total surface area of the cylinder with an open top. It's important to note that the other options presented (SA = xr² + 2xrh, SA = 2xr² + xdh, SA = xr² + xrh) do not accurately represent the surface area formula for a cylinder and should not be used for calculations.

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Change the sample size from n  will increase the power of a statistical test. The correct answer is C.

Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.

This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.

The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.

Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.

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If we compute a 92% confidence interval in  excel command the critical value will be 1.750686.

Level of confidence c = 0.92

level of significance α = 1 - c = 0.08

A 92% confidence interval has goes from  8/2 = 4% to 100%–(8/2)% = 96%

Leaving 92% in the middle (96%–4%) = 92 %

So look up z-score for 96% or p =0.96

The two closest value in a z-table are

P(z< 1.75) = 0.95994

P(z< 1.76) = 0.96080

Based on this online table

( https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf )

So critical value Z = 1.75 is the closest value , but just barely.

But if you want a more accurate , use the normal function on Excel or from an online calculator or interpolate

If you interpolate

1.75 + (0.96–0.959954)*0.01/ (0.9608–0.95994)

Critical value Z= 1.750535

If you round to four digits,  critical value Z = 1.7505

So the interpolation isn’t that much more accurate

Excel function says critical value Z= 1.750686

=normsinv(0.96)

= 1.750686 which is probably more accurate.

By using the word interval, you have implied you are talking about a two-sided test.

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Answer:

3.36:45=0,8

4.40:32=1,25

536:45=0,8

6.48:50=0,96

Hope it helps and likes it

Step-by-step explanation:

3- sin Z = opp/hyp

  sin Z = 27/45

   Z = sin-¹(27/45)

   Z = 37

4- tan C = opp/adjacent

   tanC = 24/32

   C = tan -¹ ( 24/32)

   C = 36.87 ( or 37)

5-  cos X = adj/hyp

    cos X= 36/45

    X = cos-¹ (36/45)

   X = 37

6- sin C = opp/hyp

   sin C = 14/48

   C = sin -¹ (14/48)

   C= 17  (or 16.96)

a. The formula B = 703w/h^2 can be solved for w by rearranging the equation as w = B * h^2 / 703.
b. For a person who is 64 inches tall and has a body mass index of 21.45, the weight can be calculated by substituting the values into the formula w = B * h^2 / 703, where B is 21.45 and h is 64 inches.

a. To solve the formula B = 703w/h^2 for w, we can rearrange the equation to isolate w on one side of the equation. Multiply both sides of the equation by h^2, then divide both sides by 703. The resulting equation is w = B * h^2 / 703.
b. To find the weight of a person who is 64 inches tall and has a body mass index of 21.45, we can substitute the values into the formula w = B * h^2 / 703. In this case, B is 21.45 and h is 64 inches. Plugging these values into the equation, we get w = 21.45 * 64^2 / 703. Evaluating this expression will give us the weight in pounds.

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Bentley needs to ride an average of 7.9 miles each day for the next 4 days to meet his goal of riding 39.6 miles in a week.

The equation to determine the average number of miles Bentley needs to ride each day is:

31.6/4 = x

Let x be the average number of miles Bentley must bike each day for the next four days in order to reach his objective. The total distance Bentley needs to ride is 39.6 miles, and he has already ridden 8 miles.

Therefore, he needs to ride an additional (39.6 - 8) = 31.6 miles in the remaining 4 days.

The equation to determine the average number of miles Bentley needs to ride each day is:

31.6/4 = x

Simplifying this equation, we get:

x = 7.9

Therefore, Bentley needs to ride an average of 7.9 miles each day for the next 4 days to meet his goal of riding 39.6 miles in a week.

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The solution to the inequality expression is w <= 18.75

From the question, we have the following parameters that can be used in our computation:

225 is no less than 12 times a number w.

When this is represented as an expression, we have

225 >= 12w

Divide both sides by 12

So, we have

18.75 >= w

Rewrite as

w <= 18.75

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Answer:

I think it would be 4 apples for each of them !

Step-by-step explanation:

its division. you had to do 12 ÷ 3

Answer:

The answer is 4 apples per child.

Step-by-step explanation:

If we have 12 apples and 3 children we write as a ratio like this:

12:3

So we have to figure out how many apples each child gets to have.

Next, we cancel out 3 from 12 and 3 which becomes:

4:1

So each child gets 4 apples.

I hope this helps!

Answer:

(-6127) + 0 = (-6127)

(+18) + 2 = (+20)

(+27) - 7 = (+20)

(+63) + (-13) = (+50)

(+21) - 4 = (+17)

Step-by-step explanation:

Answer: \(770,000\)

Step-by-step explanation:

Given

The present population of bacteria is \(1,92,500\)

It doubles in every 238 minutes

So, after 238 minutes it is

\(\Rightarrow 192,500\times 2=385000\)

After another 238 minutes i.e. 476 minutes from starting, they becomes

\(\Rightarrow 385000\times 2=770,000\)

Answer:

A=16x^2

B=-12x

Step-by-step explanation:

I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!