There are 20 monkeys in a zoo.
There are 4 times as many monkeys as tigers.
How many tigers are there?

A data set has a mean of 177 and a standard deviation of 20. 11.3% is the coefficient of variance for this collection of data.

The ratio of a data set's standard deviation to its mean, stated as a percentage, is represented by a coefficient of variation (CV), a dimensional measure of variability. It is a practical tool for contrasting the relative variance of two or more data groups with various means or measurement units.

We divide the usual level deviation by the mean, multiply the result by 100, and that number is the coefficient of variation. The coefficient in variation can be computed as follows in this situation: Using the formula CV = (standard deviation / mean) x 100, (20 / 177) x 100, and 11.3%

A low coefficient for variation means that the mean is a good indicator of the data and that the set of data has low relative variability. On the other hand, a high coefficient for variation shows substantial relative variability, which could point to the need for additional research or alternate metrics of central tendency.

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Anaiah currently spending  $150 on these goods

*He is not spending his entire income  

*His marginal utility per dollar spent is not the same for both goods

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

consumption of eggplant

= 20 price of eggplant

= 3

consumption of kiwi is

= 30 price of eggplant

= 3

Formula:

Spending

= price of eggplant*consumption of eggplant + price of kiwi*consumption of kiwi

= 3*20+3*30

= 150

Utility per one dollar spent on the 20th eggplant

=  160

Marginal utility per dollar spent on the 30th kiwi

= 190 utils.

Note that y 160<190

Currently spending= 150

& budget = 180

150<180

According theory of choice consumer need the maximize the utility so answer is

Answer -:

*He is not spending his entire income

*His marginal utility per dollar spent is not the same for both goods

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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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The area of the rectangular piece to be painted after cutting will be 1200 cm².

What is the definition of a rectangle?

Rectangles are four-sided polygons with 90-degree internal angles. Two sides meet at right angles at each corner or vertex. The rectangle is distinguished from the square by the fact that its opposite sides are of equal length.

If one side of a rectangle is 20 cm long, the opposite side is also 20 cm long.

A rectangle has two intersecting diagonals. The length of both diagonals is the same.

The perimeter is defined as P = 2 (Length + Width).

Area of a Rectangle=Length*Breadth

Now,

Length of cardboard=42cm

breadth=32 cm

Area of cardboard=42*32=1344cm²

Area of square to be cut=6*6=36cm²

and total 4 squares are cut

Then the area of the box that is made to be painted is =1344*4*36

=1200 cm²

hence,

          The area of the rectangular piece to be painted after cutting will be 1200 cm².

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Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Answer:

Option (D)

Step-by-step explanation:

Length of arc AB in a circle O = 105°

Radius (AO) of the circle = 6 cm

Since, measure of an arc = central angle formed by the arc

Length of arc = \(\frac{\theta}{360}(2\pi r)\)

Where θ = central angle = 105°

r = radius of the circle = 6 cm

By substituting these values in the formula,

m(arc AB) = \(\frac{105}{360}(2\pi \times 6)\)

                = 10.9956

                ≈ 11.0 cm

Therefore, option (D) will be the answer.

Substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

What is a mathematical expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division.

               Term is defined as a constant, a single variable, or a combination of a variable and a constant combined with multiplication or division. Algebra Expression Example: 3x + 9, 5x + 10

What are an equation and an expression?

In mathematics, an expression is a word or phrase that combines variables, operators, and numbers to represent the value of something. Two expressions are assigned equal to one another in a mathematical statement known as an equation.

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The number of quarters is 16

Answer:

x= 2

Step-by-step explanation:

Given that,

AB = 7.5x

BC = 6x+3

AC = 10x-5

ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,

AC = BC = AB

10x-5 = 6x+3

Taking like terms together

10x-6x = 5+3

4x = 8

x = 2

Hence, the value of x is equal to 2.

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

The equation in standard form of the Ellipse centered at the origin with vertex (-7, 0) and co-vertex (0, 5)

The standard form equation of an ellipse centered at the origin with a horizontal major axis and vertical minor axis is:(x^2/a^2) + (y^2/b^2) = 1

where "a" is the length of the semi-major axis (half of the length of the major axis) and "b" is the length of the semi-minor axis (half of the length of the minor axis).

Since the center of the ellipse is at the origin, we know that the distance from the center to the vertex (-7, 0) is equal to the length of the semi-major axis "a", which is 7. Also, the distance from the center to the co-vertex (0, 5) is equal to the length of the semi-minor axis "b", which is 5.

Therefore, we have:a = 7b = 5

Plugging these values into the standard form equation, we get:(x^2/7^2) + (y^2/5^2) = 1

Simplifying, we get:(x^2/49) + (y^2/25) = 1

This is the equation in standard form of the ellipse centered at the origin with vertex (-7, 0) and co-vertex (0, 5)

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We found that the variation constant, k, is equal to 2. Using the inverse variation formula, we derived the equation of variation as y = 2/x.

When a quantity varies inversely with another quantity, it means that as one value increases, the other value decreases, and their product remains constant. To find the variation constant and equation of variation for the given situation where y varies inversely as x, and y = 14 when x = 1/7, we can use the formula for inverse variation:

y = k/x

where k is the variation constant.

Given that y = 14 when x = 1/7, we can substitute these values into the equation:

14 = k/(1/7)

To solve for k, we can multiply both sides of the equation by (1/7):

14 * (1/7) = k

2 = k

Therefore, the variation constant, k, is 2.

Now we can write the equation of variation:

y = 2/x

This equation represents the inverse variation relationship between y and x, where the product of y and x is always equal to 2. As x increases, y decreases, and vice versa, maintaining the constant value of 2.

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The critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval, based on a random sample of 30 observations, is t₍₃₀,₀.₀₅₎ = 2.042.

To determine the critical value, we refer to the t-table with degrees of freedom (df) equal to n - 1, where n represents the sample size. In this case, the sample size is 30, so the degrees of freedom is 30 - 1 = 29.

For a 95% confidence interval, we need to consider the two-tailed critical region. Since the area in each tail is 0.025 (0.05/2), we look for the corresponding value in the t-table at a significance level of α/2 = 0.025 for df = 29.

The closest value to 0.025 in the table is 2.042.

Therefore, the critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval based on a random sample of 30 observations is t₍₃₀,₀.₀₅₎ = 2.042.

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Answer:208

Step-by-step explanation:

13 x 16 = 208

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Answer:

65%

Step-by-step explanation:

if there are 20 squares assume that 20 is equivalent to a 100% as a whole and only 11 squares are shaded therefore if 20 = 100% then

Let x be the percentage

Divide both sides by 20

Equation: 20x/20 = 100/20

----> x = 5

Each Number is equivalent to 5 percent.

therefore 11 = 65%

Answer:

y = 3/2x - 5

Step-by-step explanation:

The equation for a linear line is y=mx+c:

FINDING OUT THE GRADIENT (m)

The gradient can be found out by using this formula:

change in y / change in x ---> y2-y1/x2-x1

Therefore, we can substitute in the values from the given coordinates. Assuming (4,1) is coordinate point 1 and (6,4) is coordinate point 2, we substitute in the values as so:

(4-1)/(6-4) --> 3/2 (or 1.5, but it is always better to leave as a fraction in maths)

We now know our value for m is 3/2 or 1.5.

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FINDING OUT THE Y INTERCEPT (c)

Now we must find the value of c. This is very simple now since we know the gradient. I don't know a more mathematical way of doing this, but the easiest way I can think of is just going down by the value of the gradient each time (1.5 or 3/2, in this scenario 1.5 is probably easier to use). We know as the x value decreases by 1, the y value decreases by 1.5 (or if x increases, y increases by 1.5).

If you want to use whole numbers rather than decimals, when the x value increases (or decreases) by 2, the y value increases (or decreases) by 3 (1.5*2=3). So, now we just work out what the y intercept is by finding out what y would be when the x coordinate is 0. So:

If y is 1 when x is 4 (4,1), then if x=2, y would be 1-3=-2 (2,-2).

If x=0, y would be -2-3=5 (0,-5).

This is the point where the line intercepts the y axis. We now know our value for c is -5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now we simply just substitute our values into the equation. So:

y = mx + c

If m=3/2 and c=-5, then:

y = 3/2x - 5

(Sorry if this was confusing, hope it kinda helped though!)

Answer:

1/2

Step-by-step explanation:

1 L -1/4=3/4

3/4×2/3=1/2

Answer:

1 hour/ 34 minutes

Step-by-step explanation:

Step-by-step explanation:

3x + 1 = 5x

Bringing like terms on one side

1 = 5x - 3x

1 = 2x

1/2 = x

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write out equation

3x + 1 = 5x

Step 2: Subtract 3x on both sides

1 = 2x

Step 3: Divide both sides by 2

x = 1/2

The description of the route of the limousine is

First, the limousine drives 18 blocks right and 8 blocks down and then it drives 17 blocks left and 2 blocks up

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

T<18, -8> o T<-17, 2>

The above parameters represent the transformation and the positions of the limousine

The above statement represents the direction in words

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=================================================

Explanation:

Adding an even number to an odd number always results in an odd number

even + odd = odd

odd + even = odd

So if 'a' is odd, adding 2 onto it (even number), leads to an odd result of a+2.

----------------------------------

Extra Information (optional section)

If you are curious why the two equations shown above are true, then here's a proof.

Let 'a' be an odd number. This means a = 2k+1 for some integer k. We add 1 to any multiple of 2 and it goes from even (2k) to odd (2k+1).

If we made b an even number, then b = 2m for some integer m.

Adding 'a' and b gives us...

c = a + b

c = ( a ) + ( b )

c = ( 2k+1 ) + ( 2m )

c = (2k+2m) + 1

c = 2(k+m) + 1

c = 2n + 1 .... where n = k+m

The result a+b is an odd number since it is in the form 2*(integer)+1

It verifies the claim that odd+even = odd.

So this shows that a+2 is also odd, since we let b = 2.

Based on the information in the graph, we can infer that people should educate themselves in bachelor's degree or higher qualification skills to access a better job.

According to the information in the graph, we can establish that the different jobs are adjusted to different levels of training, which is why it is suggested that people educate themselves in the most suitable levels of training for the profession they wish to carry out in the future.

On the other hand, we can observe that people who have been educated in skill level 5 have the possibility of working as sale workers and labourers.

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Answer:

When the bananas cost 3 IBS for $1.10, the cost for six Bananas is $2.20.

From the information, bananas cost 3 IBS for $1.10, In this his case, the first thing to do is to calculate the price for each. This will be:

= $1.10 / 3

= $0.367

Therefore the cost for six bananas will be:

= Cost for each banana × Number of banana

= $0.367 × 6

= $2.20

The cost is $2.20.

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Answer:

18=b . .. . . .. . .. . . .. . ,.,.,.,.,.,..,.,.

Slope:-

\(\\ \sf\longmapsto m=\dfrac{30-20}{1}=10\)

Now

equation in point slope form

\(\\ \sf\longmapsto y-20=10(x-2)\)

\(\\ \sf\longmapsto y-20=10x-20\)

\(\\ \sf\longmapsto y=10x\)

Or

\(\\ \sf\longmapsto f(x)=10x\)