II. Identify the following terms described in each item. Quantitative & Qualitate. It can be separated into different categories that are distinguished by some nonnumeric characteristics. 2. It consists of numbers representing counts or measurements. Quantitative Quantitative 3. The result from either a finite number of possible values or countable number of possible values as 0, or 1, or 2, and so on 4. The result from infinitely many possible values that can be associated with points on a continuous scale in such a way that there are no gaps or interruptions 5. It is characterized by data that consist of names, labels, or categories only. 6. It involves data that may be arranged in some order, but differences between data values either cannot be determined or are meaningless. 7. It involves meaningful amounts of differences between data. It has no true zero point or absolute zero. 8. It contains all the properties of the interval level but has true zero point or absolute zero. 9. It is a complete collection of all elements to be studied. 10. It is a branch of Mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.​

Answer:

y=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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It would take 2.083 hours to cover 1100 miles.

We have,

Speed= 528 mph

Distance = 1100 miles

Using speed = Distance/ time

So, Time = Distance/ speed

Time = 1100 / 528

Time = 2.083 hour

Thus, the time taken 2.083 hour.

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Answer:

\(\huge\boxed{\sf A \approx 483.8 \ m^2}\)

Step-by-step explanation:

Radius = r = 14 m

Angle = θ = 283°

π = 3.14

Area of sector = A = ?

\(\displaystyle A = \frac{\theta}{360} \times \pi r^2\)

Put the given data in the above formula.

Finding area of sector:

\(\displaystyle A = \frac{283}{360} \times (3.14)(14)^2\\\\A = 0.786 \times 3.14 \times 196 \\\\A \approx 483.8 \ m^2\\\\\rule[225]{225}{2}\)

The probability that more than 20% of the sample are from poverty households is approximately 0.8365.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.

Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.

The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.

We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).

To use the normal approximation, we can standardize X as follows:

Z = (X - μ) / σ

Then, we have:

P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)

Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.

Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.

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The average home size in the United States in 2004 was 7,000 square feet.

To solve this problem, we can use the concept of ratios. Let x be the average home size in 2004.

The concept of ratios involves comparing two or more quantities by expressing them as a fraction or a division of one quantity by another. It is used to determine how much larger or smaller one quantity is than another, and is often used in mathematics, science, finance, and other fields

We know that the average home size in 1970 was 1,400 square feet, and that the average size in 2004 was about 5 times greater. This can be expressed as:

x = 5(1,400)

Simplifying the right side of the equation, we get

x = 7,000 square feet

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A t-test cannot cover more than one group. This has to do with the underlying method used to calculate the test value.

Explain about t-test?

The t-test is designed to compare the means of two populations based on the means of the two samples. (any sample from either population).

The most important observation is that the t-test computes the difference between two sample means.

If you have trouble understanding 'variance', you can use the word standard deviation from the previous text to get your points.

In other words, there is more than one difference between the groups, but we want one measure of Total Difference Between Groups. The t-test cannot do that.

So the procedure for groups of three or more is: Run ANOVA first. As a second step, if you have reason to believe that differences exist (based on this test), you can use the t-test to determine where those differences lie.

A t-test cannot cover more than one group. This has to do with the underlying method used to calculate the test value.

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We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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Answer:

none

Step-by-step explanation:

all the numbers are relatively close to each other, so there is no significant gap between each.

Answer:

.09 meters: 90 mm

Convert 27 feet: 324 inches

Step-by-step explanation:

90 milimeters.

324 inches.

Answer:

not  sure but i need points

Step-by-step explanation:

Answer:

r = 9

Step-by-step explanation:

\( In\: \odot O, \) QP is tangent at point P and OP is radius.

\( \therefore OP\perp QP\)

\( \therefore m\angle OPQ = 90\degree \)

So, \( \triangle OPQ\) is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

\( OQ^2 = OP^2 + PQ^2 \)

\( \therefore (r + 32)^2 = r^2 + (40)^2 \)

\( \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 \)

\( \therefore 64r = 1600-1024 \)

\( \therefore 64r = 576 \)

\( \therefore r = \frac{576}{64}\)

\( \therefore r = 9\)

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

The volume of the hemisphere, rounded to the nearest tenth, is 2144.7 cubic centimeters.

To find the volume of a hemisphere, we can use the formula: V = (2/3)πr³.

Given that the diameter of the hemisphere is 16 cm, we can find the radius by dividing the diameter by 2: r = 16 cm / 2 = 8 cm.

Now we can substitute the radius into the formula and calculate the volume: V = (2/3)π(8 cm)³.
Evaluating this expression, we find the volume of the hemisphere to be approximately 2144.7 cubic centimeters.

Therefore, the volume of the hemisphere, rounded to the nearest tenth, is 2144.7 cubic centimeters.

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Answer:

c or d

Step-by-step explanation:

Answer:

B.11

Step-by-step explanation:

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the image, CF corresponds to EF, CD corresponds to EG and DF corresponds to GF.

DF = DE + EF = 7 + 5 = 12

Since Triangle CDF is similar to triangle EGF. hence:

\(\frac{CF}{EF} =\frac{DF}{GF} \\\\\frac{CF}{5}=\frac{12}{4} \\\\CF=\frac{12*5}{4}\\\\CF=15\)

We can see that:

CF = CG + GF (line segment addition postulate)

CF = x + 4

15 = x + 4

x = 15 - 4

x = 11

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

4 1/2

Step-by-step explanation:

The function is f(x,y)= 6xy. The region D is a triangle with vertices (0,0), (1,0), and (1,9).The region D can be represented by the limits 0 ≤ x ≤ 1 and 0 ≤ y ≤ 9x.

Therefore, the average value of f over D is given by:\($$\bar f=\frac{\int_D f(x,y) dA}{\int_D dA}$$$$\int_D\) \(f(x,y)dA= \int_{0}^{1}\int_{0}^{9x}6xydydx$$$$=\int_{0}^{1}3x(9x)^2dx$$$$=\)\(243/4$$\)and the area of the region D is: $$\int_D dA = \(\int_{0}^{1}\int_{0}^{9x}dydx$$$$=\int_{0}^{1}9xdx$$$$=9/2$$\)Therefore, the average value of f over D is\(:$$\bar f=\frac{\int_D f(x,y) dA}{\int_D dA}$$$$= \frac{243/4}{9/2}$$$$=27/2$$\)Therefore, the average value of f over D is 27/2.

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The population is experiencing stabilizing selection, as the smaller individuals are selected against by predation and the larger individuals are selected against by resource availability. The correct answer is stabilizing-selection & directional-selection for smaller size.

If the fish predators were to increase in number, the population would most likely experience directional selection for smaller size, as smaller individuals would be more likely to survive and reproduce in the face of increased predation pressure as would have a greater chance of survival due to reduced predation.The population is defined by the selective pressures acting upon it, which in this case are predation and resource availability. A population of a copepod species is experiencing stabilizing selection, as the size of the copepods has remained stable over several generations due to the opposing selective pressures.

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Answer:

-4 is the y intercept. You know this because it is the only one without a variable.

The slope is -1.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y=4x

in the graph

(8,32),(12,48),(16,64)

x={8,12,16}

y={32,48,64}

from y=4x

1)32=4x,x=32/4,x=8 ;(8,32)

2)48=4x,x=48/4,x=12 ;(12,48)

3)64=4x,x=64/4,x=16 ;(16,64)

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

\(\qquad \sf  \dashrightarrow \: \cfrac{ {z}^{2} - 14z + 48 }{ {z}^{2} + 6x - 27} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ {z}^{2} - 8z - 6z+ 48 }{ {z}^{2} + 9z- 3z- 27} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ {z(}^{} z- 8) - 6(z - 8) }{ {z}^{} (z+ 9)- 3(z + 9)} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ {(}^{} z- 8) (z - 6) }{ {}^{} (z+ 9)(z - 3)} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ (z - 6) }{ {}^{} (z+ 9)}\)

Break into two parts and simplify

\(\\ \rm\dashrightarrow \dfrac{z^2-14z+48}{z^2+6z-27}\)

\(\\ \rm\dashrightarrow \dfrac{z^2-8z-6z+48}{z^2+9z-3z-27}\)

\(\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)}{(z+9)(z-3)}\)

Now divide by the denominator

\(\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)(z-3)}{(z+9)(z-3)(z-8)}\)

\(\\ \rm\dashrightarrow \dfrac{z-6}{z+9}\)

Answer:

Choice 4^th

Step-by-step explanation:

Given:

1/2+3/4+7/16 = __

To Solve:

Addition equation by finding a common multiple.

Solution:

Let the blank _ be x.

Then,

1/2+3/4+7/16 = x

Flip this equation:

Now solve for x.

Hence,

1/2+3/4+7/16 = 27/16

4^th Choice is accurate.

Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM