A scientist wishes to estimate the average depth of a river. He wants to be 99% confident that the estimate is accurate within 2 feet. From previous studies, the standard deviation of the depths measure was 4. 33 feet. How large a sample is required

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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The volume of the triangular prism that h = 8m, b = 10m, l = 22m is 880 cubic meters.

To find the volume of a triangular prism, we first need to find the area of the base triangle, which is given by the formula:

A = (1/2) × b × h

where b is the base and h is the height of the triangle.

In this case, the base of the triangular prism is a triangle with base b = 10m and height h = 8m, so its area is:

A = (1/2) × 10m × 8m = 40m²

The volume of the triangular prism is then given by multiplying the area of the base by the length of the prism:

V = A × l

where l is the length of the prism.

In this case, the length of the triangular prism is l = 22m, so its volume is:

V = 40m² × 22m = 880m³

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In order to solve for the function input and output, first locate the specified input in the input values' row (or column).

Find the output value that corresponds to the given input value.

Locate the specified output values in the output values' row (or column), making note of each instance where the output value appears.

Find the input value or values that the given output value corresponds to.

The input and output of a function, respectively, are, to put it simply, what goes into and what comes out of the function.

The input and output variables are, respectively, x and y, in the equation y = x + 5. A value is an input into the function, say x = 3, and an output value is generated.

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The given probability distribution is not valid and hence cannot be a probability distribution.

Given the probability distribution is a continuous random variable y that takes a value = 1/2, y = 1, y = 3, and f(y) = 1We need to prove that the area under the curve is 1. To prove it, we need to find out the area of each rectangle and triangle.

Therefore, Area of rectangle I = (1/2) (1/2) = 1/4 Area of rectangle II = (3-1) (1) = 2 Area of triangle III = (1/2) (3-1) (1) = 1

Therefore, the total area under the curve will be the sum of all the above areas. Total area = 1/4 + 2 + 1 = 2.25

The total area under the curve is not equal to 1.

Therefore, the given probability distribution is not valid. Hence, it cannot be a probability distribution.

The probability distribution should satisfy the following two conditions: The sum of all probabilities should be equal to 1. The probability of a random variable must lie between 0 and 1.

The sum of all probabilities is 1. In this case, the probability of y = 1/2, y = 1, and y = 3 is 1, which is correct.

Therefore, the given probability distribution satisfies the first condition. But, the probability of a random variable must lie between 0 and 1. Here, the probability is greater than 1 which is not possible.

Therefore, the given probability distribution is not valid and hence cannot be a probability distribution.

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Answer:

241.9026

Step-by-step explanation:

2*pi*r

Answer:

241.9 cm

Step-by-step explanation:

circumference= \(\pi\)d

circumference= \(\pi\)(77)

circumference= 241.9 cm

Answer:

35x + x = 180

36x = 180

x = 180/36

x = 5

We need 124 grams of Na2O to produce 160 grams of NaOH

A balanced chemical equation is an equation where the number of atoms of each type in the reaction is the same on both reactants and product sides.

Let us first convert 160 grams of NaOH to moles using its molar mass. The molar mass of NaOH is:

Na = 22.99 g/mol

O = 15.99 g/mol

H = 1.01 g/mol

Molar mass of NaOH = 22.99 + 15.99 + 1.01 = 40.00 g/mol

Number of moles of NaOH = mass / molar mass = 160 g / 40.00 g/mol = 4.00 mol

Since the reaction requires 2 moles of NaOH for every 1 mole of Na2O, we need half as many moles of Na2O as NaOH.

Therefore, we need: 1/2 x 4.00 mol = 2.00 mol of Na2O

Finally, we can convert moles of Na2O to grams using its molar mass:

Na = 22.99 g/mol

O = 15.99 g/mol

Molar mass of Na2O = 22.99 + 2(15.99) = 61.98 g/mol

Mass of Na2O = number of moles x molar mass = 2.00 mol x 61.98 g/mol = 123.96 g

Therefore, we need 124 grams of Na2O to produce 160 grams of NaOH

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The statement which best describes the relationship between the two variables is there is no association because the relative frequencies by column are similar.

Two-way table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Amani computed in a two-way table the relative frequencies of sales of homes listed with two different real estate companies.

Home Sales by Real Estate Company

                        Sold in 100 Days or Less   Did Not Sell within 100 Days Company A                  44.5%                                 55.5%

Company B                  45.1%                                  54.9%

Association is found out, when there is significant difference between the data. The frequency of the homes sold in 100 Days or Less by company A is 44.5% and by company B is 45.1%. These values are almost equal.

In the table, the values of home did Not sell within 100 Days is also almost same for both the companies. Which suggest that there is no association.

Thus, the statement which best describes the relationship between the two variables is there is no association because the relative frequencies by column are similar.

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Answer:

D) There is no association because the relative frequencies by row are similar.

Step-by-step explanation:

got it right on edge 2022!

Answer: k = √27-i

Step-by-step explanation:

Answer:

solution is -3

Step-by-step explanation:

z=69

69-72

-3

Answer:

\(-3\)

Step-by-step explanation:

\(z=69\)

Substitute this into \(z-72\):

\(69-72=-3\)

The starting term of the function  f(x) = 300 (1.16)^x is 300

This is a type of function that are of 3 main parts

Considering the given problem,  f(x) = 300(1.16)^x

the starting = 300

the base = 1.16

the exponents = x

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

The base is what determines exponential growth or decay

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Answer:

total salary=$20000

spend%=70%

now,

spend no=70% of $20000

=70/100 ×20000

=$14000

now,

total of spend amount of each month=

spend amount×12

=140000×12

=$168000

Answer:

150 by 18 or 20

Step-by-step explanation:

Answer:

D and E

Step-by-step explanation:

I found out D nad E has the same answer so ye

Answer:

Step-by-step explanation:

600,000,000

Answer:

\(1.872 \times {10}^{13} \)

Step-by-step explanation:

Simply multiple the values listed

\(3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} \)

You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.

\(18.72 \times {10}^{12} \)

Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.

\(1.872 \times {10}^{13} \)

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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Answer:my dog is cute

Step-by-step explanation:because

A function that satisfies the condition of having its square plus the square of its derivative equal to 1 is given by f(x) = sin(x).

The function f(x) = sin(x) has the property that its square, sin^2(x), is equal to 1 when added to the square of its derivative, \($\frac{d}{dx}\sin(x))^2 = \cos^2(x)$\).

This can be seen by directly evaluating the expression: \(sin^{2}(x) + cos^{2}(x) = 1\), which is a fundamental identity in trigonometry.

The sine function is periodic with a period of 2π, and its derivative, cosine function, also has the same period. This means that for any x, the function sin(x) and its derivative cos(x) will satisfy the given condition.

Geometrically, the sine function represents the y-coordinate of a point on the unit circle as the corresponding angle is varied. Its derivative, the cosine function, represents the rate of change of this y-coordinate with respect to the angle. The squares of the sine and cosine functions add up to 1, which is the square of the radius of the unit circle. This property is fundamental in trigonometry.

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1) Rounding up 4328 to 1 significant figure will give us; 4000

2) Rounding up 25446 to 1 significant figure will give us 30000.

3) Rounding up 38562.7  to 1 significant figure will give us; 40000

4) Rounding up 87600.2 to 1 significant figure will give us; 90000

When talking about significant figures with whole numbers, we mean all non - zero whole numbers. They include;

1) Rounding up 4328 to 1 significant figure will give us; 4000

2) Rounding up 25446 to 1 significant figure will give us 30000.

3) Rounding up 38562.7  to 1 significant figure will give us; 40000

4) Rounding up 87600.2 to 1 significant figure will give us; 90000

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Answer:

1/3 the rectangle was dilated by a factor of 1/3

Step-by-step explanation:

9/3 = 3 and 6/3= 2

Answer:

1/3 the rectangle was dilated by a factor of 1/3

Step-by-step explanation:

9/3 = 3 and 6/3= 2

The area of new triangle with base '3b'and height '6h' is 6 times larger than the area of original triangle with base 'b' and height 'h'.

The correct option is (c)

The area of a triangle is half the product of its base and height.

Area= \(\frac{1}{2} * b * h\\\)

Let us consider the base 'b' and the height 'h'.

The Area of triangle will be,

= \(\frac{1}{2} * b * h\\\)

=\(\frac{1}{2} bh\)

Now, if the base is tripled and height is quadrupling.

Then, new base = 3b and new height =4h

So, Area of new Triangle =\(\frac{1}{2} * (3b) * (4h)\)

                                          = \(\frac{12}{2} bh\)

                                          = 6 bh

                                          = 6 times larger than the original triangle.

Hence, the area of new triangle will be 6 times larger the area of the original triangle.

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Answer:

Step-by-step explanation:

If Mr. Jones served 85 hot dogs to 50 people the proportion of hot dogs is:

If he expects 68 people at the fall picnic, the amount of hot dogs he will need is the number of people multiplied by this proportion:

Answer

The proportion that could be used to find how many hot dogs Mr. Jones will need for the fall picnic is 85/50

He will need 115.6 hot dogs (since the number of hot dogs is a whole number, He will have to buy 116 hot dogs)

Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

The manufacturer can take corrective actions to maintain the quality of the dustless chalk and ensure it meets the desired density standards.

It seems part of your message got cut off. However, I can still provide some general information about quality control programs and how they can be used to monitor chalk density.

In quality control programs, the manufacturer uses statistical methods to monitor and ensure the consistency and quality of the products they produce.

One common technique used is Statistical Process Control (SPC). SPC involves taking samples from the production process at regular intervals and analyzing them to identify any variations or abnormalities.

To monitor chalk density, the manufacturer can take 24 different subgroups of chalk samples, each subgroup consisting of "n" samples. The sample standard deviation calculated for each subgroup can be used to estimate the variation in chalk density within each subgroup.

The manufacturer can then use control charts to track the process over time. Control charts display the sample means and control limits, which are calculated based on the sample standard deviations.

By comparing the sample means with the control limits, the manufacturer can identify when the process is out of control or when there are significant variations in chalk density.

If the process goes out of control or if there are consistent deviations in chalk density.

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The value of the given logarithm function is found to be  log3 a3log3 3 = 3.

The logarithm of a number in a given base is the power to which the base must be raised to obtain that number. The logarithm of x is written as logb(x) (read "log base b of x") and is defined as the power to which the base, b, must be raised to give the value x.  

Mathematically, it can be written as:logb(x) = y if by = x where b is the base of the logarithm, x is the number whose logarithm is to be found, and y is the logarithm of x in base b.

We are given log3a = −0.631 and we are to find the value of the expression log3 a3log3 3.

Step 1: Let's recall some properties of logarithm:

logb(b) = 1

logb(1) = 0

logb(xy) = logb(x) + logb(y)

logb(x/y) = logb(x) - logb(y)

We can simplify the given expression using these properties of logarithm:

log3 a3

log3 3= log3 (a3) + log3 3

Now we can simplify a³. We have a = 3log3a, therefore

a³ = (3log3a)³ = 33

log3a = 27log33

= 27

Therefore, a³ = 2

7Now, we can replace a³ with 27 in the expression log3 a³, and we have:

log3 27 = log3 (3³) = 3(log3 3)

We can substitute log3 3 with its value 1 and we have:

3(log3 3) = 3(1) = 3

Therefore, log3 a3log3 3 = 3.

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Answer:

1.631 on edge 2023 :}

Step-by-step explanation:

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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2 Units in d To t

The unit rate is (5,5)

Step-by-step explanation:

The center line that goes from left to right is your x axis and the line that goes from top to bottom is you y axis