The number of calls received by an office on Monday morning between 800MM and 900MM hes a mean of 2 calculate the probability of getting at leint 2 calls between elght and nine in the morning. Round your anwwer to four decimal places. Answer How to enter your arrwer fopens in new window? Keyboard Shortcuts

Answer:

216

Step-by-step explanation:

Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216

The value of Standard Deviation is needed to calculate the minimum sample size accurately. If you have the value of Standard Deviation, you can substitute it into the equation to find the minimum sample size.

To determine the minimum number of CEOs that the journalist must survey to be within $50,000 of the true average annual salary, we need to consider the margin of error in the confidence interval.

The margin of error is determined by the z-value associated with the desired confidence level and the standard deviation of the population.

Given that the z-value associated with a 95% confidence interval is 1.96, we can use the following formula to calculate the margin of error:

Margin of Error = z-value * (Standard Deviation / sqrt(sample size))

To be within $50,000 of the true average annual salary, we can set up the equation:

$50,000 = 1.96 * (Standard Deviation / sqrt(sample size))

Solving for the sample size (number of CEOs):

sqrt(sample size) = (1.96 * Standard Deviation) / $50,000

sample size = (($50,000)^2 * (Standard Deviation)^2) / (1.96)^2

The value of Standard Deviation is needed to calculate the minimum sample size accurately. If you have the value of Standard Deviation, you can substitute it into the equation to find the minimum sample size.

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Answer:

it's  equals 7

Step-by-step explanation:

Answer:

the independent variable is time and the distance dependent variable is distance.

Step-by-step explanation:The question is asking for the definition of independent and dependent variable. An independent variable is a variable that is manipulated to determine the value of a dependent variable while a dependent variable is the variable that is been measured in an equation. From the given question, the independent variable is time while the distance covered is the dependent variable.

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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Answer:

1. splitting water into hydrogen and oxygen

Step-by-step explanation:

Answer:

Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.

Step-by-step explanation:

can u pls go answer my question? Thank you and have a nice day :)

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The probability that a 3 will be rolled would be 0.125 and the expected number of 6's roll would be 68.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The events' estimated probabilities are as follows, according to the exponential probability theory:

P(3) = 0. 125

P(6 in 500 rolls) = 68 rolls

Number of times event occurs / number of trials

A number of attempts = sum of frequency:

(12+35+11+23+7+12) = 88

So the probability that a 3 will be rolled as

⇒ number of 3's / number of attempts

⇒ 11/88 = 0.125

The number of 6's probable in 500 rolls

⇒ (12 /88) × 500

⇒ 68.18 = 68

Therefore, the expected number of 6's roll would be 68.

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Answer:

5x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x-2 is 5x-2 without any more instruction. Is there another part to the question?

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem, 7^2+24^2=25^2

49+576=625

625=625

All the other answers do not satisfy the Pythagorean theorem (a^2+b^2=c^2)

Answer: A, B

Step-by-step explanation:

A right triangle's sides have a special property that the sum of the squares of the two legs is equal to the square of the hypotenuse. This is also known as the Pythagorean Theorem.

Let's check if this theorem holds true for each triangle.

\(11^2+13^2=(\sqrt{290})^2\\ 121 + 169=290\\ 290 = 290\)

The Pythagorean Theorem holds true, so this is a right triangle.

\(7^2+24^2=25^2\\ 49 + 576 = 625\\ 625=625\)

The Pythagorean Theorem holds true, so this is a right triangle.

\(2^2+5^2=7^2\\ 4+25=49\\ 29 = 49\)

This is a false statement, which doesn't make this triangle a right triangle. We could have use the triangle inequality theorem to prove that this isn't a triangle at all, and therefore not a right triangle, but I encourage you to learn about it and try it yourself.

The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

A stack of U.S. nickels that is the same height as the Empire State Building would contain approximately 199,079,487 nickels.

To determine the number of nickels in a stack of the same height as the Empire State Building, we need to calculate the number of nickels that fit into the height of the building.

First, we need to convert the height of the Empire State Building from feet to millimeters to match the thickness of the nickel. Since 1 foot is approximately 304.8 millimeters, the height of the Empire State Building is approximately 381,000 millimeters.

Next, we calculate the number of nickels that can fit in the stack by dividing the height of the building by the thickness of a nickel. The thickness of a U.S. nickel is 1.95 millimeters.

Number of nickels = (Height of the building in millimeters) / (Thickness of a nickel in millimeters)

Number of nickels = 381,000 mm / 1.95 mm

Number of nickels ≈ 195,897,948 nickels

Therefore, a stack of U.S. nickels that is the same height as the Empire State Building would contain approximately 199,079,487 nickels.

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Answer:

It cost Hector $28.8

Step-by-step explanation:

How to find the answer:

36 - 20%

= $28.8

Using the given clues, we can fill out the table as follows:

Section     Number      Color

A                    3             Green

B                    5              Purple

C                    9              Brown

D                    8              Orange

E                    1               Yellow

F                    6                Blue

G                   4                 Pink

Using this information, we can deduce the values of each section:

The number 8 is in all shapes

So, D = 8

Number C is the largest

For the blue section, we have

F = Blue

For the triangle, we have

DEF = 48

D + E + F = 15

So, we have

EF = 6

E + F = 7

This means that

(E, F) = (1, 6) or (6, 1)

Number 1 is yellow

So, we have

Since F is not yellow, then

A = Green

A and G add up to 7, and A's number is smaller than G's.

So A and G must be (1, 6), (3, 4) because 2 and 7 are not used

Because of the values of E and F, we have

A = 3 and G = 4

Green and pink are in the rectangle only

So:

G = Pink

Purple and Orange are in the circle

So:

(B, D) = (Orange, Purple), (Purple, Orange)

The purple section is 5 and D = 8

So:

(B, D) = (Purple, Orange) = (5, 8)

The table has been completely filled

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You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

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1. The slope of  the equation 1.5x + 2.5y = 18 is 3/5.

2. y = 7.2

3. x = 12.

The slope, m, of an equation can be determined as the ratio of the rise to the run of the line. In the equation that represents the line in slope-intercept form, y = mx + b, the slope is easily identified as "m", while the y-intercept is identified as "b"

Thus, one a graph, the y-intercept is the point where the line intersects the y-axis while the x-intercept is the point where the line crosses the x-axis.

Given the equation, 1.5x + 2.5y = 18, the graph of the equation is shown in the diagram below.

1. Slope (m) = rise/run = 3/5

2. The graph intersects the y-axis at y = 7.2, therefore the y-intercept is 7.2.

3. The line intersects the x-axis at x = 12, thus, the x-intercept is 12.

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Answer:

\(Cranberry:Apple:Orange = 7:5:8\)

Step-by-step explanation:

Given

\(Apple = 1/4\)

\(Orange = 2/5\)

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

\(Cranberry + Apple + Orange = 1\)

Substitute values for Apple and Orange

\(Cranberry + 1/4+ 2/5= 1\)

Collect Like Terms

\(Cranberry = 1- 1/4- 2/5\)

Take LCM

\(Cranberry = \frac{20 - 5 - 8}{20}\)

\(Cranberry = \frac{7}{20}\)

The ratio is then represented as:

\(Cranberry:Apple:Orange = 7/20:1/4:2/5\)

Multiply through by 20

\(Cranberry:Apple:Orange = 20(7/20:1/4:2/5)\)

\(Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5\)

\(Cranberry:Apple:Orange = 7:5:8\)

Answer:

15$

Step-by-step explanation:

30×3= 90

25×3= 75

so, 90-75= 15$

Answer:

1206.5 acres

Step-by-step explanation:

tatle acres=4825m

%of not federally owned =100%-75%=25%

\(( \frac{25}{100} ) \times 4825\)

=1206.5 acres

Answer:

31 and 73

Step-by-step explanation:

Writing this is variable form,

x+y = 104

x-y = 42

If we use the process of elimination and add the system of equations together;

2x = 146

x = 73

Substituting that back in;

x - y = 42

(73) - y = 42

y = 31

Answer:

\(a=73 \text{ and } b=31\)

Step-by-step explanation:

\(a+b=104 --- (1)\\a-b=42 ---(2)\\\)

Add (1) and (2), we get

\(2a=104+42\\a=\dfrac{146}{2}\\=73\)

\(73-b=42\\-b=42-73\\b=31\)

The number of stamps and the cost are illustrations of unit rates

40 stamps would cost $22

The cost of 15 postage stamps is $8.25

Start by calculating the unit rate of the stamps.

\(Unit = \frac{8.25}{15}\)

\(Unit = 0.55\)

So, the number of stamps for $22 is calculated by dividing $22 by the unit rate.

So, we have:

\(Number=\frac{22}{0.55}\)

\(Number=40\)

Hence, 40 stamps would cost $22

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Answer:

Step-by-step explanation:

Number 5

The correct option is: "Univariate analysis involves the analysis of a single variable."

The following statement is true with regards to statistical analysis:

Univariate analysis involves the analysis of a single variable.

The other statements are not entirely accurate:

Bivariate analysis is a form of multivariate analysis that examines the relationship between two variables, but multivariate analysis can involve more than two variables.

Regression analysis is a multivariate analysis technique that examines the relationship between one dependent variable and one or more independent variables.

Multivariate analysis involves the examination of the relationship between two or more variables, not necessarily one, two, or more.

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The required result will be 3xyz.

In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x3+y3+z3=k is known as the sum of cubes problem.

For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes."

3xyz

∴ The required result will be 3xyz.

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The height of the tree is approximately 23.53 meters.

a) Here is a fully labeled diagram to represent the information:

     Tree

      |

      |----------------------------- 25m ------------------------------

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |      |                                           |

      |     Jasleen                             Mirror

      |      |                                           |

      |     1.7m                                     |

      |                                           1.6m

b) To determine the height of the tree in meters,

(tree height) / (distance from Jasleen's eyes to the ground) = (height of the tree) / (distance from Jasleen to the mirror)

Substituting the given values:

h / 1.6 = 25 / 1.7

To solve for h, we can cross-multiply and then divide:

h = (25 * 1.6) / 1.7

Simplifying the calculation:

h = 40/ 1.7

h ≈ 23.53m

Therefore, the height of the tree is approximately 23.53 meters.

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Hello !

Answer:

\(\boxed{\sf C\approx62.8 ft}\)

Step-by-step explanation:

To find the circumference of a circle with its radius, we will apply the following formula:

\(\sf C=2\pi r\)

Where r is the radius of the circle.

Given :

We know that the diameter is equal to two times the radius, so \(r=10\) ft.

Let's substitute our value into the formula :

\(\sf C=2\times \pi\times 10\\\boxed{\sf C\approx62.8 ft}\)

Have a nice day !

Answer:

Step-by-step explanation:

We know that

So,

→ R = 20/2

→ R = 10

Now,

We know that,

Circumference of circle = 2πr

→ 2 × 22/7 × 10

→ 440/7

→ 62.8 ft

Hence ,

The correct answer is

\(\[\boxed{\begin{array}{l}G = \left[ {\begin{array}{*{20}{c}}1&0&0&0&1&1\\0&1&0&1&0&1\end{array}} \right]\end{array}}\].\)

The wrong answer on Chegg for the generator matrix is due to swapped values.

Given that the convolutional code is (2, 1, 2) with:

\(\[\begin{array}{l}g^{(1)} = \left( {\begin{array}{*{20}{l}}0&1&1\end{array}} \right)\\g^{(2)} = \left( {\begin{array}{*{20}{l}}1&0&1\end{array}} \right)\end{array}\]\)

Here we can see that there are two generator matrices, which are given as

:g1 = [0 1 1]g2 = [1 0 1]

We have to find the generator matrix (G) for the above convolutional code (2, 1, 2).

Formula to calculate generator matrix G for convolutional code is:

G = [I_k | T] , where T = [g1, g2 g1 + g2].

Here k is the number of states in the convolutional encoder, which is equal to 2 in this case.

Since we have g1 and g2, we can find T as follows:

\(\[T = \left[ {\begin{array}{*{20}{c}}0&1&1&1&0&1\end{array}} \right]\]where g1 + g2 is equal to [1 1 0].\)

Since we have the matrix T, we can now calculate G as follows:

\(\[G = \left[ {\begin{array}{*{20}{c}}1&0&0&0&1&1\\0&1&0&1&0&1\end{array}} \right]\]\)

Thus, the generator matrix G for the convolutional code (2, 1, 2) is:

\(\[G = \left[ {\begin{array}{*{20}{c}}1&0&0&0&1&1\\0&1&0&1&0&1\end{array}} \right]\]\)

Therefore, the correct answer is

\(\[\boxed{\begin{array}{l}G = \left[ {\begin{array}{*{20}{c}}1&0&0&0&1&1\\0&1&0&1&0&1\end{array}} \right]\end{array}}\].\)

The wrong answer on Chegg for the generator matrix is due to swapped values.

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Answer: the answer is that causation cannot be determined from an observational study.

Step-by-step explanation:

The conclusion is not correct because Causation cannot be determined from an observational study.

Observational study is usually chosen when the researches the system is likely to produce different result if interfered.

Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.

We are given that the correlation coefficient was found to be r = 0.94.

Also, the conclusion was made that the more time a child spends learning a second language, the better the child performs on standardized tests.

Since the correlation value implies that less than 90% of the variability in standardized testing performance can be explained by learning a second language.

The conclusion is not correct because Causation cannot be determined from an observational study.

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