Hi you guys. Did I do this right ? I got 18

Answer:

Step-by-step explanation:

Monke

The above assertion claims that the word expression may be expressed algebraically as 2f+9.

Similar to this, we are stating a formula when we explain an expression in words that has a variable (an expression with a variable). For instance, the algebraic expression for "3 greater than x" may be written. x + 3 x+ 3 x+3

Another principle of algebra involves the use of characters or alphabets to represent numbers without providing actual precise values. We learned how to express and untold amount utilizing letters like x, y, and z in the principles of algebra. Here, we refer to any of these letter as constants.

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Answer:

25 feet per min

Step-by-step explanation:

90-15=75

75/3=25

25f/min

Answer:

Answer:

The anwser is 2

Step-by-step explanation:

1 for each person

Answer:

The answers are B, D, and E.

Step-by-step explanation:

After I got it wrong the first two times on edge, It showed me the answer.

Have a good morning/afternoon/evening!

The triangle with side lengths of  48 in., 56 in., and 83 in.  is obtuse, because 832> 48² +56²

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

The side lengths of the triangles are 48 in., 56 in., and 83 in

The smallest side lengths are: 48 in., 56 in

The sum of the squares of these side lengths is

48^2+ 56^2

For the triangle to be obtuse, then the following must be true

83^2> 48² +56²

Evaluate the exponents

6889> 5440

The above inequality is true.

Hence, the triangle is obtuse, because 83^2> 48² +56²

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Answer: 1

Step-by-step explanation:

\(\dfrac{ {4}^{2} }{16}=\dfrac{16}{16} =1\)

Answer :

Both triangles will be proven similar by AA theorem  i.e. Angle-Angle theorem.

The true statements are:

10. The triangles are similar by SAS

11. The triangles are similar by SAS

Similar triangles may or may not be equal.

For question (10), sides WB and WV are similar.

Also, sides WC and WU are similar, and the angle at point W is common in both triangles

Hence, the triangles are similar by SAS

For question (10), sides WB and WV are similar.

Also, sides WC and WU are similar, and the angle at point W is common in both triangles

Hence, the triangles are similar by SAS

For question (11), sides DC and AE are similar.

Also, sides AB and BC are similar, and the angle at point B is common in both triangles

Hence, the triangles are similar by SAS

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(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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Answer:

Step-by-step explanation:

90

By solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.

It primarily consists of a variable, sometimes with a numerical constant in addition.

Take the following illustration into consideration to quickly grasp this idea. 3x – 4 = 5. It is a simple equation of class 7.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

So, we know that the ration is 6:11 and the perimeter is 510 units.

Then, form and solve the equation as follows:

510 = 2(6x + 11x)

510 = 12x + 22x

510 = 34x

x = 510/34

x = 15

Then, the length will be:
6x

6(15)

90 units

Therefore, by solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.

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Answer:

9

Step-by-step explanation:

How to solve your question

Your question is

|

−

9

|

|-9|

∣−9∣

Solve

1

Find the absolute value

|

−

9

|

9

Solution

9

Answer:

B

Step-by-step explanation:

I’m smart

Answer:

90 hours

Step-by-step explanation:

{14, 4, -21}  is the range of the function if the domain is {-2, 0, 5}

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the range of the function, we need to plug each value in the domain into the given function and see what output (y-value) we get.

When x = -2:

y = -5(-2) + 4 = 14

When x = 0:

y = -5(0) + 4 = 4

When x = 5:

y = -5(5) + 4 = -21

So the range of the function is {14, 4, -21}.

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As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

Answer:

6 in

Step-by-step explanation:

To find the height, just divide the volume by the base area

Answer:

x = 2.5

or

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

Step-by-step explanation:

18x + 6 + 4 = 55

18x + 10 = 55

18x = 55 - 10

18x = 45

x = 2.5

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Answer:

2.5

Step-by-step explanation:

When the level of significance is 0.07, the corresponding confidence level is 93%.

The level of significance (α) in statistical hypothesis testing represents the probability of rejecting the null hypothesis when it is actually true. In contrast, the confidence level represents the degree of certainty or reliability we have in the estimated results from a statistical analysis.

The confidence level is calculated as the complement of the level of significance, subtracted from 1. In this case, if the level of significance is 0.07, we subtract it from 1 to find the confidence level:

Confidence level = 1 - level of significance

Confidence level = 1 - 0.07

Confidence level = 0.93 or 93%

Therefore, when the level of significance is 0.07, the corresponding confidence level is 93%. This means that we can be 93% confident that the estimated results from a statistical analysis will fall within the desired range, while allowing for a 7% chance of Type I error (rejecting the null hypothesis when it is true).

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Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

Answer:

x>15

Step-by-step explanation:

-5x-10>-85

-5x>-75

x>15

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

-1/6

Step-by-step explanation:

-2x÷(-2)=1/3÷(-2)

x=1/3÷(-2)

x= 1/3*1/2

x=-1/6

Answer:

Let's solve your equation step-by-step.

−2x=

1

3

Step 1: Divide both sides by -2.

−2x

−2

=

1

3

−2

x=

−1

6

Step-by-step explanation:

Answer:

2 × 3 × 25 = 150

Step-by-step explanation:

To find the highest common factor (HCF) of 72, 150, and 300, we can use a variety of methods, such as prime factorization, listing factors, or the Euclidean algorithm. Here's one way to find the HCF using prime factorization:

First, we can factor each number into its prime factors:

72 = 2^3 × 3^2

150 = 2 × 3 × 5^2

300 = 2^2 × 3 × 5^2

Next, we can identify the common prime factors and their lowest exponents among the three numbers:

The prime factor 2 appears in all three numbers with an exponent of at least 1, so the HCF must contain 2^1 = 2.

The prime factor 3 appears in all three numbers with an exponent of at least 1, so the HCF must contain 3^1 = 3.

The prime factor 5 appears in all three numbers with an exponent of at least 2, so the HCF must contain 5^2 = 25.

Therefore, the HCF of 72, 150, and 300 is 2 × 3 × 25 = 150.

Answer:

The points are scattered, the graph displays a discrete graph, and the graph displays the relationship of test scores to hours studied.

Step-by-step explanation:

Answer:

It is also E - The graph represents the relationship between two sets of data.  

A C D and E is the correct answer.  

Step-by-step explanation:

The proportion of the variation in the y variable that can be explained by the variation in the x variable, known as the coefficient of determination or r², is 23.5%.

This means that approximately 23.5% of the variability in the y variable can be accounted for by changes in the x variable, as indicated by the given regression equation and correlation coefficient.

The coefficient of determination (r²) is obtained by squaring the correlation coefficient (r). In this case, the correlation coefficient is -0.485. When we square -0.485, we get 0.235. This value represents the proportion of the total variability in the y variable that can be explained by the linear relationship with the x variable.

To express this as a percentage, we multiply r² by 100. Therefore, the proportion of the variation in y that can be explained by the variation in x is 0.235 * 100 = 23.5%.

In summary, based on the given regression equation and correlation coefficient, approximately 23.5% of the variation in y can be explained by the variation in the values of x.

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1) We can visualize that regular octagon inscribed this way:

2) We can decompose that regular octagon as isosceles triangles since this the radius is known

But note that we only have the length of the radius:

3) So let's find the base of the triangle, note that the interior angle is:

Finding the height:

Now, let's find the area of one triangle and then multiply by 8 to get the area of the whole Octagon:

-x/11+8.5

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THANK YOU.

The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).

To calculate the present value of these payments, we need to use the formula for the present value of an annuity:

\(PV = (P/i) x [1 - (1+i)^-n]\)

Where:
P = payment amount
i = annual effective rate
n = number of payments

Using this formula, we can calculate the present value of the first 10 payments:

\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)

To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do

this, we can use the following formula:

\(Pn = P1 x (1 + g)^n\)

Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment

For the 11th payment:

\(P11 = 105 x (1 + 0.05)^1 = 110.25\)

For the 12th payment:

\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)

And so on, until the 20th payment:

\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)

Now we can calculate the present value of these payments:

PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)

PV = 988.59

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The probability of being dealt a card that helps improve your hand is approximately 0.7083 or 70.83%.

To determine the probability of being dealt a card that helps you, we need to consider two factors: the number of favorable cards remaining in the deck and the total number of cards remaining.

At the beginning of the game, a standard deck of 52 cards is used. After the initial deal, you and the dealer have each received two cards, so there are 52 - 4 = 48 cards remaining in the deck.

To determine the favorable cards that can improve your hand, we need to consider the possible outcomes. In this case, you have a four and a jack, and you're looking to improve your hand. Let's analyze the possibilities:

To improve your hand to a better total without exceeding 21, you would want to draw a card between 5 and 9, inclusive. In this case, you know that the dealer's one visible card is a five, so there are three more fives left in the deck. Additionally, there are four cards each of 6, 7, 8, and 9, making a total of 16 favorable cards for improving your hand.

Lastly, if you're hoping to improve your hand to a total of 20, you would need an ace, 2, 3, or 6. As we assumed earlier, there are three aces remaining, and there are four cards each of 2, 3, and 6. So there are a total of 3 + 4 + 4 + 4 = 15 favorable cards for achieving a total of 20.

In total, the number of favorable cards for improving your hand is 3 (blackjack) + 16 (improve to a better total) + 15 (improve to a total of 20) = 34.

To calculate the probability, we divide the number of favorable cards by the total number of cards remaining in the deck:

Probability = Number of Favorable Cards / Total Number of Cards Remaining

Probability = 34 / 48

Simplifying the fraction, the probability is 17 / 24 or approximately 0.7083 (rounded to four decimal places).

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