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My parents ordered some books.

My mom ordered 8 books for $19.85.

My dad ordered 6 books for $15.00.

​
​Who had the better/lower unit price?

The output when three workers are hired is 5 units..

To find the output when three workers are hired, we need to first determine the total cost and then use the marginal cost to calculate the output.

Find the total cost when three workers are hired.
Average total cost (ATC) = Total cost (TC) / Output (Q)
$50 = TC / Q
Since fixed cost (FC) is $130 and the marginal cost (MC) is $40 per worker, the total cost can be found by adding the fixed cost and the cost of the three workers.
TC = FC + 3(MC)
TC = $130 + 3($40)

Calculate the total cost.
TC = $130 + $120
TC = $250

Use the total cost and average total cost to find the output.
$50 = $250 / Q
Q = $250 / $50
Q = 5

Therefore, the output when three workers are hired is 5 units.

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Answer:

15%

Step-by-step explanation:

0.15 x 100 = 15%

Answer:

pick a because the data is better for that chart

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

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Answer:

I don’t know the answer bcause I’m in the car but if you add up all the number like what is being added to a them subtract them from 180 and then divide that number in 3 you should get a

Step-by-step explanation:

Answer:

3.) a. 9mm b. 10mm c. 8mm

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Formula:

a + b = (answer) > c

a + c = (answer) > b

b + c = (answer) > a

try to solve it yourself so you can do it on your own in the future.

Answer:

..................

Step-by-step explanation:

5 is the correct answer as their is no probability to land on 1

Based on the information provided, the number of times that dice will land on 1 or 5 is 153 times.

The number of times, the dice will land in a specific number is directly related to the probabilities of landing in these numbers.

Landing in 5: 0.16

Landing in 1: Add other probabilities and subtract the total to 1 as follows:

0.1+0.17+0.08+0.16+0.14 =0.65

1 -0.65 = 0.35

Now, add the probabilities: 0.35+0.16 = 0.51

Finally, multiply by the number of times:

300 times x 0.51 =  153 times

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Answer:

y is equal to 24

Step-by-step explanation:

If y is directly proportional to x when x is equal to 5 and y is 12, then when you multiply 5 by 2 which is 10, y will be proportional to that when you multiply 12 by 2 which is 24

Answer:

b: 25

Step-by-step explanation:

The previous answer wowwubbzy13 uploaded is absolutely correct!

I'll set up a proportion.

If y = 12, then x = 5

--> 12:5

We want to find the y when x is 10

--> y:10

12:5 = y:10

5y = 120

y = 25

So B: 25 is the correct answer!

Answer:

∠ 3 = 35°

Step-by-step explanation:

∠ 5 and ∠ 3 are alternate angles and congruent, thus

∠ 3 = ∠ 5 = 35°

If the question is simply asking for the product of 5 and 5/6, then writing the reciprocal is not necessary. To multiply fractions, we can simply multiply the numerators and the denominators separately. In this case, we would get:

5 x 5/6 = (5 x 5)/(1 x 6) = 25/6

However, if the question specifically asks for the result to be expressed as a mixed number or a whole number, then we would need to simplify the fraction by converting it to a mixed number or a whole number. In some cases, it may be helpful to write the reciprocal in order to simplify the fraction more easily.

For example, if the question asks us to express 5 x 5/6 as a mixed number or a whole number, we could first write the reciprocal of 5/6 as 6/5, and then multiply it with 5 to get:

5 x 5/6 = 5 x 6/5 = 30/5

We can simplify this fraction by dividing both the numerator and the denominator by 5:

30/5 = 6

Therefore, if the context or the desired result requires the expression 5 x 5/6 to be simplified further, it may be helpful to write the reciprocal of 5/6 to make the simplification process easier. However, in general, it is not necessary to write the reciprocal to multiply fractions.

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The probability that the digit that is received (after having been transmitted across the 4 channels) is 0.3645

In communication systems, it is common to face the challenge of transmitting information accurately over a noisy channel. In this scenario, errors can occur during transmission, and it is essential to quantify the probability of receiving the correct information at the end of the channel.

In this problem, we are asked to calculate the probability that the digit received after transmitting a 0 across four channels is also a 0. We know that each channel can either transmit the digit correctly with probability 0.9 or incorrectly with probability 0.1. Therefore, we can use the concept of conditional probability to solve this problem.

Using Bayes' theorem, we can rewrite this as:

P(CCCC | 0 received) x P(0 received) / P(CCCC)

Here, P(CCCC | 0 received) represents the probability that all four channels transmitted the 0 correctly, given that a 0 was received. This probability can be calculated as:

P(CCCC | 0 received) = P(C) x P(C | C) x P(C | C | C) x P(C | C | C | C)

Substituting the given probabilities, we get:

P(CCCC | 0 received) = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Similarly, we can calculate the probability of receiving a 0 in general as:

P(0 received) = P(CCCC | 0 received) x P(0) + P(IIII | 0 received) x P(1)

where P(IIII | 0 received) represents the probability that all four channels transmitted the digit incorrectly, given that a 0 was received. This probability can be calculated similarly as:

P(IIII | 0 received) = P(I) * P(I | I) x P(I | I | I) x P(I | I | I | I) = 0.1 x 0.1 x 0.1 x 0.1 = 0.0001

Substituting the given probabilities, we get:

P(0 received) = 0.6561 x 0.5 + 0.0001 x 0.5 = 0.3281

Finally, we can calculate the denominator P(CCCC) as:

P(CCCC) = P(CCCC | 0 received) x P(0) + P(CCCC | 1 received) x P(1)

where P(CCCC | 1 received) represents the probability that all four channels transmitted the digit correctly, given that a 1 was received. This probability can be calculated similarly as:

P(CCCC | 1 received) = P(I) x P(I | C) x P(I | C | C) x P(I | C | C | C) = 0.1 x 0.9 x 0.9 x 0.9 = 0.0729

Substituting the given probabilities, we get:

P(CCCC) = 0.6561 * 0.5 + 0.0729 * 0.5 = 0.3645

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Answer:

.45

Step-by-step explanation:

52+31=83

83-12=71

71+23=94

94=49=45

Answer: this is the answer please follow to the explanation

Step-by-step explanation:

21x + 14y = 168. X=2y

14y = -21x +168. 2y=x

14 divided by 14 on one side and

-21 + 168 divided by 14 on the other side

You should get...

Y= -3/2x +12

For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).

Well, have a good day

Answer:

C

Step-by-step explanation:

Can I get brainleist?

106.9 centimeters is equal to 3.518 feet.  This is calculated by dividing the centimeters by 30.48 to obtain the number of feet.

Step 1: Calculate the number of centimeters in one foot. This is done by multiplying the number of inches in a foot (12) by the number of centimeters in an inch (2.54). This gives us 30.48 centimeters in a foot.

Step 2: Divide the number of centimeters by the number of centimeters in a foot. This will give us the number of feet.

Step 3: For this example, we are dividing 106.9 centimeters by 30.48 (the number of centimeters in a foot) to get 3.518 feet.  This is the final answer. To summarize, 106.9 centimeters is equal to 3.518 feet. This is done by dividing the number of centimeters by the number of centimeters in a foot (30.48).

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Answer:

x = \(2\sqrt{3}\) , y = \(4\sqrt{3}\) ⇒ A

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its three sides

→  30°  :  60°  :  90°

→  1      :   \(\sqrt{3}\)  :   2

In the given figure

∵ The length of the hypotenuse is y

∵ The length of the side opposite to the angle of measure 30° is x

∵ The length of the side opposite to the angle of measure 60° is 6

→ By using the ratio above

→  30°  :  60°  :  90°

→  1      :   \(\sqrt{3}\)  :   2

→  x      :   6    :   y

→ By using cross multiplication

∵ x × \(\sqrt{3}\) = 1 × 6

∴ x \(\sqrt{3}\)  = 6

→ Divide both sides by \(\sqrt{3}\)

∴ x = \(\frac{6}{\sqrt{3}}\)

→ Simplify it by multiplying up and down by \(\sqrt{3}\)

∴ x = \(\frac{6\sqrt{3}}{3}=2\sqrt{3}\)

∴ x = \(2\sqrt{3}\)

∵ y × \(\sqrt{3}\) = 6 × 2

∴ y \(\sqrt{3}\)  = 12

→ Divide both sides by \(\sqrt{3}\)

∴ y = \(\frac{12}{\sqrt{3}}\)

→ Simplify it by multiplying up and down by \(\sqrt{3}\)

∴ y = \(\frac{12\sqrt{3}}{3}=4\sqrt{3}\)

∴ y = \(4\sqrt{3}\)

The simplified form of the given expression is -48√2i. The solution has been obtained by simplifying the algebraic expression.

What is algebraic expression?

Any expression that makes use of variables, constants, and algebraic operations is referred to as algebraic (addition, subtraction, etc.).

The following are the four main types of expressions:

We are given an expression as 12√-8 - 12√-72.

Here,

⇒12√-8 = 12 * 2√2i

⇒12√-8 = 24√2i

Similarly,

⇒12√-72 = 12 * 6√2i

⇒12√-72 = 72√2i

Now, on subtracting both, we get

⇒12√-8 - 12√-72 = 24√2i - 72√2i

⇒12√-8 - 12√-72 = -48√2i

Hence, the simplified form of the given expression is -48√2i.

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Answer:

a couple different obes

Step-by-step explanation:

there are five

The one-step transition probability matrix for the given Markov chain with transitions of probabilities 1/2, 1/3, and 1/6 would be: P = [1/2 1/3 1/6;

1/2 1/3 1/6;

1/2 1/3 1/6]

Assuming that there are three states in the Markov chain, the one-step transition probability matrix is given by:

P =

[ 1/2 1/2 0 ]

[ 1/3 1/3 1/3 ]

[ 1/6 1/6 2/3 ]

Here, the (i, j)-th entry of the matrix represents the probability of transitioning from state I to state j in one step.

For example, the probability of transitioning from state 2 to state 3 in one step is 1/3, as indicated by the entry in the second row and third column of the matrix.

Note that the probabilities in each row add up to 1, reflecting the fact that the process must transition to some state in one step.

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Answer:

Step-by-step explanation:

(2x³-5x²+5) ÷ (x+2) = 2x²-9x+18 R -31

Answer:

Mi-Ling saves more money.

Step-by-step explanation:

At 3 weeks Mi-Ling has saved $45, whereas Daniel at 3 weeks has only saved $30

Answer:

  B)  108°

Step-by-step explanation:

You want the interior angle measure for a regular pentagon.

The interior angles of a regular n-gon will have measure ...

  180° -360°/n

When n = 5, the interior angles have measure ...

  180° -360*/5 = 180° -72° = 108°

The interior angles of a regular pentagon are 108°.

__

Additional comment

The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.

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Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

Answer:800 Meters

Step-by-step explanation:

400X2= 800