vwe are standing on the top of a 368 feet tall building and launch a small object upward. the object's vertical position, measured in feet, after t seconds is h ( t )

The option a "The chi-square test for independence" is correct.

In the given question we have to find, a test of a single population and is to determine if there is an association between two characteristics of that population.

The given options are

A) The chi-square test for independence

B) Pearson product moment test

C) The chi-square test for homogeneity

D) Goodness-of-fit test

E) Welch’s t test

As we know that;

When a categorical variable has more than two levels, a chi-square test can be performed. A one proportion z test may be performed if there are precisely two categories. There must be no overlap between those category variable's levels. To put it another way, every situation must fall into exactly one group.

So, the chi-square test for independence is correct answer.

Option (B) and (E) are two-sample tests.

(C) involves two attributes.

(D) Doesn't check association.

Hence all these are incorrect.

So the option a "The chi-square test for independence" is correct.

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The values of x that make the expression undefined are 0 and 2

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

Volume = 5 - x

Width = x - 2

Height = 5 - x/x(x -2)

Introduce brackets to the height expression to differentiate between the numerator and the denominator

So, we have

Height = (5 - x)/x(x -2)

The question implies that we calculate the domain

Set the denominator to 0

This gives

x(x - 2) = 0

So, we have

x = 0 or x - 2 = 0

Solve for x

x = 0 or x = 2

This means that the undefined height value of x are 0 and 2

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The measure of the interior angle at vertex E is; B: 90

The formula for the sum of interior angles of an irregular polygon is;

Sum of interior angles = (n − 2) × 180°

where;

'n' is the number of sides of a polygon.

Thus;

Sum of interior angles of an irregular pentagon with 5 sides is;

Sum = (5 - 2) * 180

Sum = 540°

Thus;

3(4x) + 2(3x) = 540

12x + 6x = 540

18x = 540

x = 540/18

x = 30°

Thus, angle at vertex E = 3(30) = 90°

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90% confidence interval is 82.11 < μ < 93.89

"Information available from the question"

The complete question is this:

The managers of a company are worried about the morale of their employees. In order to determine whether a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction, which has a known standard deviation of 24 points.

Due to financial limitations, the managers decide to take a sample of 45 employees. This yields a mean score of 88 points. What is the 90% confidence interval?

Now, According to the question:

We have :

The confidence level = 0.90

The significance level, [tex]\alpha[/tex] = 0.10

The sample mean, x = 88

The population standard deviation, σ = 24

The sample size, n = 45

Critical value of z using the z - distribution table:

z(critical) = [tex]z_\alpha[/tex] /2

               =  [tex]z_0_._0_5[/tex]

               = ±1.645

90% confidence interval:

μ = x ± z. σ/[tex]\sqrt{n}[/tex]

μ = 88 ± 1.645 x 24 / [tex]\sqrt{45}[/tex]

μ = 88 ± 5.89

82.11 < μ < 93.89

Hence, 90% confidence interval is 82.11 < μ < 93.89

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Answer:

it's 25.7

Step-by-step explanation:

you just divide the 90 by 3.5

Answer:

-3

Step-by-step explanation:

6x + 4 = x - 11

6x - x = -11 - 4

5x = -15

5/5 x = -15/5

x = -3

Answer: 45

Step-by-step explanation:

Answer:

1.d

2.a

3.e

4.g

5.f

6.c

7.b

Step-by-step explanation:

did it already

The equation that shows the relationship between the length of Carla’shair and how many months have passed since Carla’s haircut will be hair Length - 14 = 1/3(months - 3)

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Carla’s hair grows 1/2 inch a month 3 months after carla got her last haircut, carla’s hair was 14 inches long. The equation that illustrates this is Carla’s haircut will be hair Length - 14 = 1/3(months - 3). Therefore, the correct option is D.

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The dimensions of a rectangle are 19m.

Here we have to find the dimensions of a rectangle.

Data given:

Perimeter = 76m

The formula for the perimeter of the rectangle:

perimeter = 2( length + breadth)

So,

76 = 2 ( l+b)

l + b = 38

l = 38 -b

The formula for the area of the rectangle:

Area = length × breadth

A =( 38-b)×b

  = 38b - b²

At maximum point:

dA/ dw = 38 - 2b

38 - 2b = 0

b = 19

Therefore the dimension is 19m.

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The PE ratio will be equal to $22. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jangles Co. earned $1.80 per share. Assuming a closing price of $40. The PE ratio will be calculated as,

Earning per share = $1.80

The price of the share = $40

PE ratio = Price of the share ÷ Earning per share

PE ratio = $40/$1.8-

PE ratio = $22.

Therefore, the PE ratio will be equal to $22. The correct option is B.

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R possess Symmetric property.

Let S be the set of all polynomials of degree at most 3.

s(x) = ax³ + bx² + cx + d

we know that polynomial is a mathematical expression of one or more algebraic terms each of which consist of a constant multiplied by one or more variables raised to a non negative power.  

The reflexive property states that every element of the set is related to itself.

The symmetric property is defined as if one element in a set is related to the other, then we can say that the second element is also related to the first element.

The transitive property states that if a, b, c are three quantities, and if a is related to b and b is related to c then a and c are related  to each other.

So here we observe that R will posses symmetric property.

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The group of symmetries of a regular tetrahedron is known as the tetrahedral group, and is denoted by $T_d$. This group consists of all the symmetries of a regular tetrahedron, including orientation-reversing symmetries.

The regular tetrahedron is a three-dimensional object with four faces that are all equilateral triangles. It is one of the five Platonic solids, which are convex polyhedral with congruent faces and regular polygonal faces. The tetrahedral group $T_d$ contains a total of 24 symmetries, which can be divided into two classes: rotational symmetries and reflection symmetries. The rotational symmetries consist of 8 proper rotations, which are rotations that preserve the orientation of the tetrahedron, and 6 improper rotations, which are rotations that reverse the orientation of the tetrahedron. The reflection symmetries consist of 6 plane reflections that reflect the tetrahedron across one of its faces.

To understand the symmetries of the tetrahedron, it is helpful to think about the symmetries of an individual face. An equilateral triangle has 6 symmetries: 3 rotational symmetries (120 degree rotations about the center of the triangle), and 3 reflection symmetries (across the lines of symmetry of the triangle). The regular tetrahedron has four faces, so these symmetries can be applied to each face independently, resulting in a total of $6^4=1296$ symmetries. However, many of these symmetries are not distinct, and can be generated by combinations of the tetrahedral group's 24 symmetries. Thus, the tetrahedral group $T_d$ is the group of all the distinct symmetries of a regular tetrahedron.

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Answer:

-33/35

Step-by-step explanation:

turn mixed fraction into an improper fraction

-2 1/5 = -11/5

times both fractions

Answer: 3

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 10 ← is in slope- intercept form

with slope m = 6

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{6}[/tex] and (a, b ) = (5, - 8 ) , then

y - (- 8) = - [tex]\frac{1}{6}[/tex] (x - 5 ) , that is

y + 8 = - [tex]\frac{1}{6}[/tex] (x - 5) ← equation of perpendicular line

Answer: 40 minus 8 divided by -4 + 6 x -7 = 0

Step-by-step explanation: i literally just used a calculator -_-

(c) is correct option as it is forming an arithmetic sequence with a common difference of -2.

There are two definitions for an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the same" or "each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term." The following is an arithmetic sequence where each term is created by adding 4 to the one before it.

An arithmetic sequence's first term is 'a', its common difference is 'd', and n is the total number of terms. The AP has the following general forms: a, a+d, a+2d, a+3d, etc., up to n words.

(a) 1,2,3,5,7,9 is not an arithmetic sequence as 2-1=1 and 5-3=2. That shows common difference is not constant.

(b) 1,10,20,30 is not an arithmetic sequence as 10-1=9 and 20-10=10. That shows common difference is not constant.

(c) 1,-1,-3,-5 is an arithmetic sequence as (-1)-1=-2 and -3-(-1)=-2. That shows common difference is constant.

(d) 7,-7,7,-7 is not forming an arithmetic sequence because common difference is not constant.

Option (c) is correct option.

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Two examples of geometric sequence are {2, 6, 18, 54, 162, 486, 1458, ...} and {1, 2, 4, 8, 16, 32, 64, 128, 256, …}.

In mathematics, a geometric sequence or geometric progression refers to a sequence of non-zero numbers where the ratio between consecutive terms is constant. In such a sequence, each term (after the initial term) is determined by multiplying the previous one by a fixed, non-zero number called the common ratio. An example of geometric sequence is {2, 6, 18, 54, 162, 486, 1458,  ..} where each term is 3 times the previous term i.e., the common ratio is 3. Another example is {1, 2, 4, 8, 16, 32, 64, 128, 256, .. } where each term is 2 times the previous term i.e., the common ratio is 2.

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The absolute maxima and minima of the function f(x) = xe^-(x²/32) along an interval [-3, 8] are (4, 4/e^1/2) ≅ (4, 2.43) and  (-3, -3/e^9/32) ≅ (-3, -2.26) respectively

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Absolute minimum and maximum values of the function in the entire domain are the highest and lowest value of the function wherever it is defined. A function can have both maximum and minimum values, either one of them or neither of them. For example, a straight line extends up to infinity in both directions so it neither has a maximum value nor minimum value.

In this question given,

f(x) = xe^-(x²/32) along an interval [-3, 8]

The absolute maxima = (x, f(x)) = (4, 4/e^1/2) ≅ (4, 2.43)

The absolute minima = (x, f(x)) = (-3, -3/e^9/32) ≅ (-3, -2.26)

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Answer:

-20

Step-by-step explanation:

We see the number line is counting by 5's so let's count down by 5's until we get to the blue dot!

5

0

-5

-10

-15

-20!

We moved down 3 points from -5 on the number line!

Answer:-20

Step-by-step explanation:

The probability that the randomly selected student  will chose running  can be written as  12/57.

The concept used is the probability which is the likelyhood of an event to take place.

Total number of students was given as  57

Total number of boys  that was given was  26

Total number of girls  can be written as 57-26=31`

Number of Girls that chose football  can be written as 15

Number of boys that chose football  can be wriitten as  9

Number of students that chose Tennis can be written as  18

Now, number of students that chose running will be;

Number of students that chose running = 57 - (24 + 18) = 15

Therefopre, probability that a randomly selected student chose running = 15/57

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Answer: the best estimate could be 20 liters

Step-by-step explanation: it is 20 liters because 1 liter is = 264 gallons so we round up the number and then use regular estimate methods.

Answer:

15 liters

Step-by-step explanation:

4 gal  /  .264 gal / liter   = 15.15 liters  = ~ 15 liters

90 minutes

Step-by-step explanation:

1/2 an hour = 30 minutes

1/4 an hour = 15 minutes

45+15=60

60+30=90

Using the t-distribution, it is found that the 95% confidence interval for the mean peak power after training is (301.2, 328.8).

We have the standard deviation for the sample, thus, the t-distribution is used.

The sample mean is 315.

The sample standard deviation is s = 16.

The sample size is n = 7.

The interval is:

mean ± t s/√n

To build the interval, we need to find the critical value, which looking at the t-table for a 95% confidence interval with 8 - 1 = 7 df is t = 2.4469.

Then, replacing the values:

315 - 2.4469 16/√8 = 301.2

315 + 2.4469 16/√8 = 328.8

The 95% confidence interval for the mean peak power after training is (301.2, 328.8).

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As per the concept of probability, If L is invited to speak on Friday, then the science fiction writer be invited on Monday and Wednesday

Probability:

In statistics, probability refers the possible and favorable outcome of the particular event.

Given,

Here we need to find if L is invited to speak on Friday, then on what days MUST a science fiction writer be invited.

Here we know that the writers of the same genre may not speak on consecutive nights.

And here we have the only five slots to fill, two of the three science fiction writers must speak on Monday and Friday

So, If both X and J are invited, then at least one will be forced to speak on Monday or Friday, which is not allowed.

Then, modification of the rules is actually just a bit of a red herring, since all of the answer choices except for the one regarding science fiction writers is true regardless.

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The dimensions of the enclosure that is most economical to construct will be 3 feet and 86.67 feet.

For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.

The maximum and minimum value of the function is at f'(x) = 0.

A wall is to be worked to encase a rectangular area of 260 square feet. The wall along three sides is to be made of material that costs 3 bucks for every foot, and the material for the fourth side costs 15 bucks for each foot.

LW = 260

L = 260 / W

Then the minimum cost is given as,

y = 3L + 3W + 3L + 15W

y = 18W + 6L

y = 18W + 6(260 / W)

y = 18W + 1560 / W

Differentiate with respect to W and put it zero, then we have

y' = 0

18 - 1560/W² = 0

W² = 1560 / 18

W = 86.67 feet

Then the length is given as,

L = 260 / 86.67

L = 3 feet

The dimensions of the enclosure that is most economical to construct will be 3 feet and 86.67 feet.

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Answer: 48

Step-by-step explanation:

[tex]\displaystyle\\\frac{32(150\%)}{100\%} =\\\\\frac{4800}{100}= \\\\48[/tex]

Answer:

48

Step-by-step explanation:

150% = 150/100 = 1.5

Then:

32 * 1.5 = 48

If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then g(4) < f(4) is a true statement?

A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

A function can also be said to be a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.

Functions are generally represented as f(x).

Let , f(x) = [tex]x^{3\\}[/tex].

It is said as f of x is equal to x cube.

Functions can also be represented by g(), t(),… etc.

For g(4) < f(4);

g(4) = 3/2(4) + 1

g(4) = 3/9

f(4) = 2(4) - 3

f(4) = 8 - 3

f(4) = 5

Therefore; g(4) < f(4)

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Answer:

n=20

Step-by-step explanation: