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Knowledge Check
In the figure below, j Il n. Find the values of y and z.
شکر
60°
y4z-20)
Question 5
A
11
Z =
0

Answer:

the answer could be: 1,2,3,4,5,6,7. If you are not sure about the answer than substitute the number that you pick and solve as if it was a normal equation.

Step-by-step explanation:

4-(3*x)<25

example:

4-(3*1)<25

4-3<25

1<25

Answer: You need 27 more dollars.

Step-by-step explanation: This is because for this problem, you need to subtract 65 from 38 to get 27

Answer:

94458

Step-by-step explanation:

273 x 346 =94458

Answer:

just use a calculator

Step-by-step explanation:

94458

that is the answer

Answer:

D) she can divide 7 by 2

Step-by-step explanation:

As, Division is not same as multiplication, so not the a option

And b doesn't have the right values

C is also wrong bc it have multiplication

So D is right

Answer:

9. slope = 7-2/7-1

= 5/6

10. slope = 8- -2/5-4

= 10/1 = 10

The equation of the line that passes through the points (0,-2) and (3,2) is  4x-3y-6 = 0.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

In the given graph,

The points are (0,-2) and (3,2)

To find the equation of the line,

Find slope by using formula  m = (y₂-y₁)/(x₂-x₁)

m = (2-(-2))/(3-0)

m = 4/3

The equation of line is,

y-y₁ = m (x-x₁)

y-(-2) = 4/3(x-0)

y+2 = 4/3x

3y+6 = 4x

4x-3y-6 = 0

The required equation of line is 4x-3y-6 = 0.

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OK !!!!!!!!!!!!!!!!!!!!!

The probability of selecting no more than 2 defectives in a sample of 10  a) without replacement is 0.36077 and b) with replacement is 0.14093

a)

Here it is given that the objects are selected without replacement one after the other and the box contains only 20 items

Here we can see that the no. of items i.e the population is finite and the items are selected one after another without replacement.

Hence, this is a case of Hyper-Geometric distribution.

For a Hyper-Geometric distribution

P(X = x) = \(\frac{^{k}C_x X ^{N-k}C_N-x }{^{N}C_n }\)

where,

N = The Population

n = no. of samples selected

k = no. of success.

Here

k = no. of defectives present

= 20% of 20

= 20/100 X 20

= 4

n = 10

N = 20

x = 2

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 0)

Therefore we get

⁴C₀ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₀₎ / ²⁰C₁₀     +     ⁴C₁ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₁₎ / ²⁰C₁₀  +

⁴C₂ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₂₎ / ²⁰C₁₀

= ⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

ᵇCₐ = b!/(b - a)! X a!

Therefore,

⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

= 0.04334 + 0.24768 + 0.06975

= 0.36077

b)

Here the sample is selected with replacement

There are 4 defective and 16 non-defective items

Let A be the event of selecting not more than 2 defectives with replacement

According to the problem, 2 out of 4 defectives are selected while the rest are not defective.

Hence n(A) =  n(getting 0 defective) + n(getting 1 defective) + n_getting 2 defectives)

= 16¹⁰    +    4 X 16⁹   +     4² X 16⁸

= 1443109011456

Similarly, the total no. of ways to choose an item is

n = 20¹⁰

Probability of any event

= no.of favorable outcomes/total no. of outcomes

Hence, P(A) = n(A) / n

= 4² X 16⁸ / 20¹⁰

= 0.14093

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The standard line must be a best fit that passes through the origin because it ensures that the line represents the most accurate and unbiased estimate of the relationship between the variables.

By passing through the origin, the standard line accounts for the fact that when both variables are zero, the predicted value should also be zero.

This assumption is particularly important in certain contexts, such as linear regression analysis, where the intercept term may not have a meaningful interpretation or may introduce bias into the model.

When the standard line is forced to pass through the origin, it ensures that the line's slope, which represents the rate of change between the variables, is solely determined by the data points and not influenced by an arbitrary intercept. This helps in making valid predictions and generalizations based on the model.

By using a best fit line that passes through the origin, we aim to minimize the errors between the predicted values and the observed values, and to obtain the most accurate representation of the relationship between the variables.

It allows us to make unbiased inferences and draw conclusions based on the data, without introducing unnecessary assumptions or biases.

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The largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².

Given, a barn has a perimeter of 88 feet.

Now, the perimeter of the rectangle i.e. Barn is 88 feet.

Perimeter = 2(l + b)

88 = 2(l + b)

l + b = 44

b = 44 - l

Now, area = l × b

Area = l × (44 - l)

Area = 44l - l²

On differentiating both the sides, we get

A' = 44 - 2l

On putting A' = 0

44 - 2l = 0

l = 22

Now, for l = 22 the area will be the largest.

if l = 22

then, 22 + b = 44

b = 22

So, the largest area will be 22×22 = 484

Hence, the largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².

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Answer:

Step-by-step explanation:

mmm it blury i can't see it

Answer:

113cm² total

area of triangle + area for small rectangle + area of 2nd rectangle

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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The first three pseudorandom numbers generated by the given relation are: a) R1 = 1, b) R2 = 7, c) R3 = 1.

Explanation: We start with the seed value R0 = 3. Using the given relation Rn+1 = (5Rn + 2) mod 9, we can calculate the subsequent values of Rn.

a) To find R1:

R1 = (5R0 + 2) mod 9 = (5 * 3 + 2) mod 9 = 15 mod 9 = 1

b) To find R2:

R2 = (5R1 + 2) mod 9 = (5 * 1 + 2) mod 9 = 7

c) To find R3:

R3 = (5R2 + 2) mod 9 = (5 * 7 + 2) mod 9 = 37 mod 9 = 1

Therefore, the first three pseudorandom numbers generated are: R1 = 1, R2 = 7, and R3 = 1.


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Answer:

yea

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have a calculator that figures this out. I have no idea how to do this manually.

f(x) = (x+2)(x-3)(2x + 1)

The constant of proportionality in table four is -1/3

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

In each of the table, we can check if proportionality exists.

In the first table, there's no proportionality.

In the second table, there's no proportionality

In the third table, there's no proportionality

In the fourth table, proportionality exist here which we can find the constant of proportionality.

When x = 6, y = -2

y = ax

a = constant of proportionality

-2 = a(6)

a = -1/3

The constant of proportionality is -1/3

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Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Let's solve the problems and provide the answers with the correct number of significant figures:

(4.307 × 10^4) × (6.2 × 10^-3)

Multiplying the numbers:

(4.307 × 6.2) × (10^4 × 10^-3) = 26.6974 × 10^1

Since the result is in scientific notation, we multiply the decimal part by the power of 10:

26.6974 × 10^1 = 266.974

To express the answer with the correct number of significant figures, we consider the least number of significant figures in the original values, which is three significant figures in this case.

Therefore, the answer is 267 with three significant figures.

26.127 + 3.9 + 0.0324

Adding the numbers:

26.127 + 3.9 + 0.0324 = 30.0594

To express the answer with the correct number of significant figures, we consider the least number of decimal places in the original values, which is one decimal place in this case.

Therefore, the answer is 30.1 with one decimal place.

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The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Answer:

$22.50

Step-by-step explanation:

As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5

We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.

Answer:

  2.7 m

Step-by-step explanation:

Corresponding sides of similar triangles are proportional. This figure shows similar triangles ∆ABC ~ ∆ADE.

__

The proportion that can be used to find h = DE is ...

  DE/BC = DA/BA

  h/(0.9 m) = (12 m+6 m)/(6 m) . . . . . filling in the values given

  h = (0.9 m)(18/6) . . . . . multiply by 0.9 m

  h = 2.7 m

The value of "h" is 2.7 m.

To solve the problem related to mean solar time where it varies continuously as a traveler's longitude changes, scientists divided the earth into 24 time zones (adding other partial zones to it). All the countries in each time zones had to keep the mean standard time assigned to it.

This is the time that is measured by synchronizing clocks in different geographical locations within the same time zone to the same time.

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Answer:

0.729

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{729\div10^3}}\\\\\\\large\boxed{\mathsf{\rightarrow \dfrac{729}{10^3}}}\\\\\\\\\large\boxed{\rm{10^3}}\\\large\boxed{\rm{= 10\times10\times10}}\\\large\boxed{\rm{= 100 \times 10}}\\\large\boxed{\rm{= 1,000}}\\\\\\\\\large\boxed{=\mathsf{\dfrac{729}{1,000}}}\\\\\\\large\boxed{\mathsf{= 729\div 1,000}}}\\\\\\\large\boxed{= \rm{0.729}}\\\\\huge\boxed{\textsf{Therefore, your answer is: 0.729}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

We have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10.

To quantify the probability of each event, we can define the following events:

Then, the probability of event A is 1/5, since 1 in every 5 units of product A is defective. Similarly, the probability of event B is 1/10, since 1 in every 10 units of product B is defective.

Now, let's consider a scenario where the company receives an order for 100 units of products, with 60 units of product A and 40 units of product B. The company wants to determine the probability of the following events:

To calculate the probability of event C, we need to consider the probability of selecting a defective unit from product A and from product B, and the proportion of each product in the order. Since the order has 60 units of product A and 40 units of product B, the probability of selecting a unit of product A is 60/100 = 3/5, and the probability of selecting a unit of product B is 40/100 = 2/5.

Using the probabilities of event A and event B, we can calculate the probability of selecting a defective unit from product A or from product B as follows:

Therefore, the probability of event C can be calculated as follows:

P(C) = P(A) * P(A in order) + P(B) * P(B in order)

= (1/5 * 3/5) + (1/10 * 2/5)

= 3/25

So the probability of selecting a defective unit from the order is 3/25.

To calculate the probability of event D, we can use the complement rule, which states that the probability of an event and its complement (i.e., the event not happening) add up to 1. Therefore, the probability of event D can be calculated as follows:

P(D) = 1 - P(C)

= 1 - 3/25

= 22/25

So the probability of selecting a unit from the order at random and finding that it is not defective is 22/25.

In summary, we have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10. We have also calculated the probability of two other events (event C and event D) in a scenario where a manufacturing company produces two types of products, with different probabilities of defects, and receives an order with a certain proportion of each product.

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Answer:

\(\large\boxed{\mathtt{C=100 \pi \ in.}}\)

\(\large\boxed{\mathtt{C \approx314.16 \ in.}}\)

Step-by-step explanation:

\(\textsf{We are asked for the circumference of this circle.}\)

\(\textsf{Let's review what the Circumference of a circle actually is.}\)

\(\large\underline{\textsf{What is the Circumference?}}\)

\(\textsf{The Circumference is is the length 'on' the circle.}\)

\(\textsf{Circumference is the Perimeter of the Circle; The sum of all the curved edges.}\)

\(\large\underline{\textsf{How do we find the Circumference?}}\)

\(\textsf{To find the Circumference, we should use a common, and simple formula.}\)

\(\mathtt{Circumference=(Diameter) \pi}\)

\(\textsf{Pi will be multiplied by the Diameter of the Circle.}\)

\(\textsf{Because we are given the Diameter, we can start solving for x.}\)

\(\large\underline{\textsf{Substitute;}}\)

\(\mathtt{Circumference \ (C)=(100 \ in.) \pi}\)

\(\large\boxed{\mathtt{C=100 \pi \ in.}}\)

\(\large\boxed{\mathtt{C \approx314.16 \ in.}}\)

One time SAS iterates through the data step.

What are iterations in SAS?

You can repeatedly run a series of statements between DO and END depending on the value of an index variable by using the iterative DO statement. The iterative DO loop can have many different shapes. You can use a SAS data set to conditionally select data by using the DO UNTIL and DO WHILE instructions.

Here, we have

Given jenny 3.95 odun 3.90 Caleb 3.25 bros 2.98; run

We have to calculate how many times SAS iterates through the data step.

We concluded from a given condition that Since there is no loop check condition used so the program will execute one time sequentially.

Hence, One time SAS iterates through the data step.

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Answer:

3rd box and last box

Step-by-step explanation:

it's is thise because i had that same question and those where the answers

Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

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Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

Based on the information given, the possible equation that would model the situation described is y = 4x.

In this situation, there are three variables:

Now, using these variables, let's create an equation that matches the situation:

y = 4 x

This equation means that the total of money paid for cashing a check is equal to 4 (fee) multiplied by x number of months assuming each month you cash one check.

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