37. a confidence interval for the difference of two population means a) must pool the sample variances. b) may or may not pool the sample variances. c) cannot be used to test for equal population means. d) must have equal sample sizes.

Answer:

DF=28 AC=64 CF=32

Step-by-step explanation:

The ratio of the number of cars to the month's 0:18 is 1:3.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

18 toy automobiles were given to Kameron.

And he intends to begin accumulating more automobiles, planning to purchase two more each month.

Month 0 finds him with 18 automobiles.

At the end of the 18th month, he will possess:

(18 + (218) vehicles = (18 + 36) cars = 54 cars

The ratio of month 0 to month 18 will therefore be as follows:

18:54 = 1:3

HENCE, the ratio form for the number of cars to accompany the month 0:18 is 1:3.

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Answer:  Perpendicular

Reason:

y = -5 is horizontal

x = 3 is vertical

A horizontal line is always perpendicular to a vertical line. The two lines form a 90 degree angle.

Answer:

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 lengths of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

With the help of set relation and function the number of members taking art history  but not mathematics is 12

what is set ?

Sets are collections of clearly defined objects, relations show the connections between the elements of two sets A and B, and functions are a special kind of relation where each element in A has exactly one relationship (or no more than one) with an element in B.

solution:

Total members (A + B + C + D)= 38

                                       B + C = 18

                                              C = 5

                                              A = 8

Work from the end to the beginning:

A = 8

C = 5

B = 13          [from clues 3 and 2]

D = 12          [use clue 1 and above info]

Therefore, The member of taking art history  but not mathematics D = 12

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The probability that he will find 2 defective radios is 0.0350.

Given that,

The store's management purchases maritime radios in quantities of 48. Let's say that, on average, 4 people out of every 48 make up a faulty group. Out of the group, the manager chooses four radios at random for testing.

P = 4/48 = 0.083

n=4

P(X=x) = nCₓ Pˣ (1-P)ⁿ⁻ˣ

a) The probability that he will find 2 defective radios P(X=2)

P(X=x) = nCₓ Pˣ (1-P)ⁿ⁻ˣ

P(X=2) = 4C₂ (0.083)² (1-0.083)²

P(X=2) = 0.0350

Therefore, P(X=2) is 0.0350

Therefore, the probability that he will find 2 defective radios is 0.0350.

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1) The probability table is calculated by the formula. 2) the probability that a student scores higher than 1.5 is 0.9, and 3) the probability a student scores between 2.5-3.5 is 0.47.

1)

We know that the probability of any event

= no. of observation for the event/total n. of observation

Here, the total no. of observations is 250

Hence we get the following probability table

GPA             Frequency

0-0.5               1/250

0.5-1                4/250

1-1.5               20/250

1.5-2              35/250

2-2.5             67/250

2.5-3             58/250

3-3.5             47/250

3.5-4             18/250

2)

The probability that a student's GPA is higher than 1.5 is
P(1.5-2) + P(2-2.5) + P(2.5-3) + P(3-3.5) + P(3.5-4)

= (35 + 67 + 58 + 47 + 18)/250

= 225/250

= 0.9

3)

The probability that a student's GPA is between 2.5 and 3.5

= P(2.5-3) + P(3-3.5)

= (58 + 47)/250

= 105/250

= 0.42

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Complete Question

The department of management science at Tech has sampled 250 of its majors and compiled the following frequency distribution of grade point averages (on a 4.0 scale) for the previous semester:

Please calculate the probability of a student obtaining a GPA at each range listed in the table above. You should calculate 8 probabilities, one for each GPA range. Please show your detailed calculation.2)What is the probability that a student’s GPA is higher than 1.5 (not include GPA = 1.5)?3)What is the probability that a student’s GPA is between 2.5 (not include 2.5) and 3.5 (include 3.5)?

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Answer:

5.8x3.8

Step-by-step explanation:

x times (x+2) = 22

Answer: 2

Step-by-step explanation: When we talk about rate change, we are talking about the slope!

The slope is 2x which means the rate change is rise 2 and run over 1.

If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer:

bacon sotda

Step-by-step explanation:

I remember thejnwnenenenensenenenejee

Answer:

18

Step-by-step explanation:

x - y = 6

x = 6

2x = 6 · 2 = 12

12 + 6 = 18

x is twice the value of y can be written as:

x= 2y

then we replace x with 2y in the given equation

x - y = 6

2y - y = 6

y = 6

then to find x we replace y with 6 in either of the equations

x = 2y

x = 2(6) = 12

or

x - 6 = 6

x= 6 + 6 = 12

now find value if x + y

12 + 6 = 18

Pass please! next question

The correct answer is $6

To solve this question, we need to multiply the numbers given.

Given:

[tex]10,5,3,2[/tex]

Therefore, the equation goes like this:

[tex]5*2\\3*2[/tex]

Therefore, the correct answer is $6

Answer: Left 2, Up 4

Step-by-step explanation:

We see the x decrease by 2 from 4 to 2 so the translation is left 2, and the y increases by 4 from 3 to 7, so it is up 4!

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The dimensions of the rectangle: length = 15 km and width = 11 km

Let l be the length of rectangle and w be the width of the rectangle.

A rectangle has perimeter 52 km

Using the formula of the perimeter of rectangle we get an equation,

2(l + w) = 52              ............(1)

And its area is 165 sq-km.

Using the formula of the area of rectangle we get an equation,

l * w = 165               ............(2)

From equation (1),

l = 26 - w

Subatitute above value of l in equation (2),

(26 - w) * w = 165  

26w - w² = 165

w² - 26w + 165 = 0

(w - 15)(w - 11) = 0

w = 15     or         w = 11

For w = 15,

l = 26 - 15

l = 11

For w = 11,

l = 26 - 11

l = 15

But as we know, the length of rectangle is always greater than the width,

l = 15 and w = 11 is true .

Therefore, the length of rectangle = 15 km and width of rectangle = 11 km

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The portion of gold in three bracelets that are shown. The bracelet that has a portion of gold is 0.65. The correct option is c.

Gold is actually a very soft metal. Rings constructed of pure gold would bend and disfigure over time. Other elements are added to strengthen the ring. 100% gold is far too soft and far from as durable as it should be.

Gold is a pure element. It is found in the earth's crust when making jewellery from gold, and some other metals like copper or silver is mixed with it.

Therefore, the correct option is c. 0.65.

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With the help of unitary method we can say that, $4 money Kimberly will pend on cheese popcorn and gummy worm.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

A bag of cheese popcorn cost= $2.50

A pack of gummy worm cost =$1. 50

2.50 * 1.50

4

Hence, $4 money Kimberly will pend on cheese popcorn and gummy worm.

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Answer: 9

Step-by-step explanation: The number of sides that a regular polygon has can be determined by the measure of one of its exterior angles. A regular polygon is a polygon with sides of equal length and angles of equal measure.

The measure of one exterior angle of a regular polygon is equal to 360° divided by the number of sides of the polygon. Therefore, if one exterior angle of a regular polygon measures 40°, we can use the following equation to find the number of sides of the polygon:

exterior angle measure = 360° / number of sides

40° = 360° / number of sides

number of sides = 360° / 40°

number of sides = 9

Therefore, a regular polygon with one exterior angle measuring 40° has 9 sides.

The probability that all three pairwise distances between the points are less than the radius of the circle is 1/12.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Since it doesn't matter where the first point is picked, it can be placed anywhere on the circle.

The following point must be within an arc of 60 degrees on either side, providing a total of 120 degrees and a chance of 1/3. The final point must be situated within 60 degrees of the first two.

If the first two points are apart by 60 degrees, the third point can be placed within an arc with a minimum area of freedom of 60 degrees and a chance of 1/6. If the first two points are the same, the third point can be placed with a maximum degree of freedom of a 120 degree arc and a 1/3 probability.

The chance changes linearly with increasing distance from the first point, up to a maximum of 60 degrees.

As a result, we may find 1/4, the average likelihood we can position the third point based on a fluctuating second point, by averaging the probabilities at either end.

Total probability is 1 × 1/3 × 1/4 = 1/12.

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The measure of missing angles is 48° and 36°.

The angle sum property of a triangle states that the sum of the three internal angles of a triangle equals 180 degrees. Three line segments combine to form a triangle, a closed shape having interior and exterior angles. When the values of the other two angles are known, one may utilize the angle sum property to determine the measure of an unknown interior angle.

Given Measure of one angle= 96, one angle= 2x, other angle= x + 12.

Using the angle sum property, we get

96 + 2x + x + 12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So, one angle = 2(24

= 48

The other angle is

x + 12 = 24 +12

= 36

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The complete question is:

One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles."

Answer: Perpendicular

Answer:

B

So convert the number over 200

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation that can be used to find Giselle's age is

3x + 10 = 5 + 2 (x + 10)

Giselle's age is 15 years.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Giselle's age = x

Father age = 3x

Now,
After 10 years his age will be 5 more than twice her age.

This can be written as,

3x + 10 = 5 + 2 (x + 10)

Solve for x.

3x + 10 = 5 + 2x + 20

3x - 2x = 5 + 20 - 10

x = 15

Thus,

The equation that can be used to find Giselle's age is

3x + 10 = 5 + 2 (x + 10)

Giselle's age is 15 years.

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The slope-intercept equation that represents the proportional relationship in this problem is given as follows:

y = 0.5x.

The slope-intercept representation of a linear function is defined as follows:

y = mx + b.

In which the coefficients are given as follows:

A proportional relationship is a linear function with an intercept of zero, hence the equation is defined as follows:

y = mx.

The variables in this problem are given as follows:

The plane consistently climbs 20 feet for every 40 feet it moves horizontally, hence the slope is obtained as follows:

m = 20/40

m = 0.5.

As the slope is given by the vertical movement divided by the horizontal movement, and hence the equation is given as follows:

y = 0.5x.

The problem asks for the slope-intercept equation that represents the proportional relationship in this problem.

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The rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

The rate of change of volume is-

dV/dt = 11 ft3/min.

Volume of cylindrical cone = (1/3)πr²h

As we're trying to find dh/dt, we need to calculate the volume within terms of just one variable, h.

Diameter =  22 ft

Thus, radius is 11 ft

By using height and radius of a water in the tank, we may calculate h using similar ratios.

11/44 = r/h

1/4 = r/h

r= h/4

Put into volume;

V = (1/3)π(h/4)h²

V = (1/3)(π)h³ / (16)

dV/dt = [(1/3)(3)(π)(h)² / 16](dh/dt)

V = [(π)(h)² / 16](dh/dt)

Solve for (dh/dt) ;

dh/dt = (dV/dt)(16) / [((π)(h)²]

Now, the change in volume is dV/dt = 11 ft³/min

dh/dt = (11 ft³/min)(16) / [((π)(h)²]

For h = 1 ft,

dh/dt = (11 ft³/min)(16) / [((π)(1 ft)²]

dh/dt ≈ 56.05 ft/min

Thus, the rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

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Answer:wasd keys do be bussin

Step-by-step explanation:

cause it do be bussin

By using Binomial distribution of probability, it can be calculated that

Probability of getting 4 heads in 10 coin flips = [tex]\frac{105}{512}[/tex]

What is Binomial distribution of probability?

Binomial distribution of probability is a discrete probability distribution where the probability mass function is given by

P(X = x) = [tex]{n \choose x}p^xq^{n - x}[/tex]

Where p is the probability of success and q is the probability of failure.

Here, Binomial distribution of probability is used

n = 10

Probability of getting a head = [tex]\frac{1}{2}[/tex]

Probability of getting a tail = [tex]\frac{1}{2}[/tex]

Probability of getting 4 heads in 10 coin flips = [tex]{10 \choose 4}(\frac{1}{2})^4(\frac{1}{2})^{10 - 4}[/tex]

                                                                          = [tex]\frac{210}{1024}[/tex]

                                                                          = [tex]\frac{105}{512}[/tex]

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a) is 0.386 and of b) is 0.017

What is Probability?

One use of probability theory is calculating the odds that experiments will succeed or fail. Probabilities can be used to determine, for example, the possibility of flipping a coin and obtaining heads or tails, or the likelihood of making a research error. Understanding the formula for estimating probabilities in equiprobable sample spaces, as well as the probabilities of the complementary event, etc., as well as the likelihood of two occurrences joining together, is essential to understanding this area of mathematics.

Given that:

no of seniors = 3

no of juniors = 15

a) probability that a group consist of a senior and two juniors:

                      [tex]=\frac{^{3} C_{1} *^{15} C_{2 }}{^{18} C_{3}}\\\\=\frac{3 * 105}{316} \\\\=0.386[/tex]

b) if the name of a student given then there is only one way to select it

For example = we have to select 1 senior which name is already given means there is only one way to select it, and 2 junior in which one name is given then it can only selected by one way, but still one junior student has to be selected out of remaining 14 student which can be selected by [tex](^{14}C_{1} =14)[/tex] different ways.

                         [tex]=\frac{1 *1*{^{14} C_{1}}}{^{18} C_{3}}} \\\\= \frac{14}{316} \\\\= 0.017[/tex]

Hence, The answer of a) is 0.386 and of b) is 0.017

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Non-overlapping intervals:

If the intervals(say interval a & interval b) doesn't overlap then the set of pairs form by [a. end, b. start] is the non-overlapping interval.

In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers {\displaystyle \mathbb {R} }\mathbb {R} , the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).

Let's take the below mentioned overlapping intervals example to explain the idea: If both ranges have at least one common point, then we say that they're overlapping. In other words, we say that two ranges and are overlapping if: On the other hand, non-overlapping ranges don't have any points in common.

Given N set of time intervals, the task is to find the intervals which don’t overlap with the given set of intervals.

Examples:

interval (a) = { {1, 3}, {2, 4}, {3, 5}, {7, 9} }

Output:  [5, 7]

The only interval which doesn’t overlaps with the other intervals is [5, 7].

interval (a) = { {1, 3}, {9, 12}, {2, 4}, {6, 8} }

Output: [4, 6]  and [8, 9]

There are two intervals which don’t overlap with other intervals are [4, 6], [8, 9].

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