The number of cars running a red light in a​ day, at a given​ intersection, possesses a distribution with a mean of 4.2 cars and a standard deviation of 33. The number of cars running the red light was observed on 100 randomly chosen days and the mean number of cars calculated. Describe the sampling distribution of the sample mean.

The number of cars running a red light in a​ day, at a given​ intersection, possesses a distribution with a mean of

4.24.2

cars and a standard deviation of

33.

The number of cars running the red light was observed on 100 randomly chosen days and the mean number of cars calculated. Describe the sampling distribution of the sample mean.

Step-by-step explanation:

Volume of the cube = s x s x s      ( all of the sides are the same length)

Volume = s^3

1331 = s^3

s = \(\sqrt[3]{1331}\)

s = 11 inches tall

Answer:

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

Step-by-step explanation:

A = {5, 10, 15, 20, 25}

B = {25, 30, 35, 40, 45}

Find A∪B

There are 5 elements in set A

There are 5 elements in set B

A∪B is the combination of all the elements in set A and set B without repeating any

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

A∪B has 9 elements in it

A ⋂ B = {25}

Answer:

$34.49

Step-by-step explanation:

To figure out this problem, you would need to divide the total price by the total amount of items you are buying

In this case it is...

172.45/5

=34.49

So the price of each item is approx. $34.49

Answer:

a) 421mm² = 0.000421 m²

b) 9.3kg²= 9,300,000 g²

c) 25kL²= 25,000,000 L²

d) 1439m²= 0.001439 km²

The probability that the point estimate was within 30 of the population mean is approximately 0.9332.

To determine the sample size used in the survey, we need to use the formula for the standard error of the mean (SE):

SE = population standard deviation / √(sample size)

Given that the standard error of the mean (SE) is 20 and the population standard deviation is 600, we can rearrange the formula to solve for the sample size:

20 = 600 / √(sample size)

Now, let's solve for the sample size:

√(sample size) = 600 / 20

√(sample size) = 30

sample size = 900

Therefore, the sample size used in this survey was 900.

To calculate the probability that the point estimate was within 30 of the population mean, we need to use the concept of the standard normal distribution and the z-score.

The formula for the z-score is:

z = (point estimate - population mean) / standard error of the mean

In this case, the point estimate is within 30 of the population mean, so the point estimate - population mean = 30.

Substituting the given values:

z = 30 / 20

z = 1.5

We can now find the probability using a standard normal distribution table or calculator. The probability corresponds to the area under the curve to the left of the z-score.

Using a standard normal distribution table or calculator, we find that the probability for a z-score of 1.5 is approximately 0.9332.

Therefore, the probability that the point estimate was within 30 of the population mean is approximately 0.9332 (rounded to four decimal places).

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The number that goes in the square marked "X" is 33.

To solve this magic square, we first need to find the sum of all the numbers from 1 through 17, which is 153. Since we have nine squares in the magic square, and we know that the sum of each row, column, and diagonal is equal, we can divide 153 by 3, which gives us 51.

We can start by placing the number 1 in the middle square, and then place the odd numbers in a clockwise fashion around the center, starting from the top left corner. This gives us:

9 3 1
5 X 13
15 11 7

We can now check if the sum of each row, column, and diagonal is equal to 51.

Sum of first row: 9 + 3 + 1 = 13

Sum of second row: 5 + X + 13 = X + 18

Sum of third row: 15 + 11 + 7 = 33

Sum of first column: 9 + 5 + 15 = 29

Sum of second column: 3 + X + 11 = X + 14

Sum of third column: 1 + 13 + 7 = 21

Sum of first diagonal: 9 + X + 7 = X + 16

Sum of second diagonal: 1 + X + 15 = X + 16

We know that the sum of each row, column, and diagonal should be 51, so we can set up the following

X + 18 = 51
X + 14 = 51
X + 16 = 51
X + 16 = 51      Solving for X, we get X = 33.

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Answer:

13 : 46

Step-by-step explanation:

First, find amount of sugar.

= 100 - 41 - 13

= 100 - 54

= 46

Blackberries : Sugar

= 13 : 46

Answer:

13 : 46

Step-by-step explanation:

amount of sugar required = 100 - 41 - 13 = 100 - 54 = 46 g

ratio of blackberries : sugar = 13 : 46

Answer:

10 4/5

Step-by-step explanation:

Answer:

10 and 4/5

Step-by-step explanation:

9/10 * 60/5 = 540/50

multiply numerator by denominator,

n : 9*60 = 540

d : 10*5 = 50

540/50

54/5 simplify

10 and 4/5

Answer:

60x24

Step-by-step explanation:

60x24=1224

Answer:

C

Step-by-step explanation:

Answer:

D) 24

Step-by-step explanation:

Multiply lxwxh

4x3x2

12x2= 24

The amount of money Sam and Bethan share is $30 and $24 respectively.

For the stated question-

Thus, Sam's share = 5 x 54 /9

Sam's share = $30

Similarly, Bethan's share = 4 x 54 /9

Bethan's share = $24

Thus, the amount of money Sam and Bethan share is $30 and $24 respectively.

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The rule of obtuse angle is that one angle measures more than 90° and total sum og angle should be 180°.

Acute, obtuse, right, straight, reflex, and complete rotation are some of the terms used to describe fundamental angles. Two rays are joined at their termini to form the geometric shape known as an angle. The most common way to express an angle is in degrees.

A measure of an angle or the amount of turning required to bring one line or plane into coincidence with or parallel to another angled is represented by two lines extending from the same point.

A triangle is said to have an obtuse angle if one of the inner angles is greater than 90 degrees. If one of the angles of an obtuse triangle is greater than 90°, then the total of the other two angles is also less than 90°.

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Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

The value of x shown in the right angled triangle is 15.9 units

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, substituting:

17² = x² + 6²

x² = 17² - 6²

x² = 253

x = 15.9 units

The value of x is 15.9 units

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Answer:

Step-by-step explanation:

x + 105 = 180

x = 75 for m<6

Answer:

84 Square Centimeters.

Step-by-step explanation:

Answer:

84 \(sm^2\)

Step-by-step explanation:

The surface of this figure consist of six faces:

two right triangles with legs = 4 and 3 sm;

one rectangle with sides 5 and 6 sm;

one rectangle with sides 3 and 6 sm;

one rectangle with sides 4 and 6 sm.

The surface area of whole figure is the sum of areas of this faces.

\(S_{\triangle} = \frac{4\cdot 3}{2} = 6 sm^2\) -- triangle area

\(S_{5,6} = 5\cdot 6 = 30 sm^2\) -- rectangle 5x6 area

\(S_{3,6} = 3\cdot 6 = 18 sm^2\) -- rect. 3x6 area

\(S_{4,6} = 4\cdot 6 = 24 sm^2\) -- rect. 4x6 area

\(S_{surf} = 2\cdot S_{\triangle} + S_{5,6} + S_{3,6} + S_{4,6} = 2\cdot 6 + 30 + 18 + 24 = 84 sm^2\)

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

Step-by-step explanation:

Answer:

R.d. = 1/2 mile

Step-by-step explanation:

Facts of note

Solving

Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.

A proportion is a fraction of a total amount.

Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:

\(D = \frac{3}{17}n\)

\(H = \frac{9}{17}n\)

The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.

\(196 = \frac{9}{17}n\)

\(n = \frac{196 \times 17}{9}\)

n = 370.22.

Hence, the amount received by Danil is given by:

\(D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33\)

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Answer:

Step-by-step explanation:

a1 = 100

r = 1/5

an = 100 (1/5)^(n - 1)

Try it. We have the answer for a_3

a_3 = 100 * (1/5)^(3 - 1)

a_3 = 100 * (1/5)^2

a_3 = 100 * 1/25

a_3 = 4  which is just what the series says should be the answer.

Answer:

\(\huge \boxed{T= \frac{P V}{n R} }\)

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

Step-by-step explanation:

\(P \cdot V = n \cdot R \cdot T\)

Dividing both sides by n · R:

\(\displaystyle \frac{P \cdot V}{n \cdot R} =T\)

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

\(\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}\)

$$P \cdot V = n \cdot R \cdot T$$

Dividing both sides by n · R:

$$\displaystyle \frac{P \cdot V}{n \cdot R} =T$$

$$\rule[225]{225}{2}$$

Answer:

9 = 22.5

0=0

11=27.5

Therefore, we should draw a ring around the numbers 113 and 124.

A number is a mathematical object used to count, measure, and label. It is an abstract concept that represents a quantity or value. Numbers can be represented using symbols or words and can be classified into different types such as natural numbers, integers, rational numbers, real numbers, and complex numbers, among others. Numbers are used in a wide range of mathematical operations, including addition, subtraction, multiplication, division, and more complex calculations, and are an essential part of everyday life.

Here,

101 102 103 104 105

106 107 108 109 110

111 112 113 114 116

117 118 119 115 120

121 122 123 124 125

After dividing each number by 9, we get:

11 11 11 11 11

11 11 12 12 12

12 12 12 12 13

13 13 13 12 13

13 13 13 13 14

The numbers with a remainder of 4 when divided by 9 are: 13 and 4.

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Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

Answer:

true

Step-by-step explanation:

4(1) - 1 = 3

2(1) + 7 = 9

9 is greater than 3.

Answer:

121xy

Step-by-step explanation:

11*11=121, x*y=xy,

121xy

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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