I need to find 15/4 + (-4 1/3)

Answer:

See below for explanation.

Step-by-step explanation:

As we know, if we substitute a solution in an equation, there can be two circumstances:

What does substituting the solution tell you? It tells you whether if that solution you have solved or got is correct or not. Graph wise, a point is a part of an equation if LHS = RHS but a point lies differently or separates from graph if LHS ≠ RHS.

KEYWORD

Do you know? A single equation such as x + 5 = 2 can be written in simultaneous equations by letting both LHS and RHS = y as we obtain y = x + 5 for first equation and y = 2 as second equation.

Next, let’s talk about simultaneous equations or system of equations. They are technically the same as one-variable equation except you learn how to convert from one-variable equations to two-variable simultaneous equations and some substitutions method as well as learn some tricks to solve for simultaneous equations. The solution in two-variable simultaneous equations is in (x,y) term so you have both x and y solution. Instead of substituting one x-value solution, unlike simultaneous equations, you need to substitute both x and y.

I said that substituting the solution(s) in mathematics are to check whether if that point or solution does lie on a graph. If a point lies on a graph or equation, that solution is valid and correct - if not, the solution is incorrect.

We have cleared out the reason why we have to substitute the solution(s) in to check. Now, why do we have to substitute in both equations rather only one? The answer is to make sure in 100%. Sometimes, when substituting the (x,y) solution in simultaneous equations, one of two equations may not have same LHS and RHS respectively.

For example, when substituting x = 2 and y = 4 in first equation, we get 2 = 2 but when we substitute in the second equation, we get 4 = 2. See that the first equation is true when substituting the solution in because both sides are equal but the second equation is false because both sides are not equal. That means (2,4) is not solution to the simultaneous equations as the second equation is false. For a solution to exist in simultaneous equations, a point (x,y) must satisfy both equations which means both equations have to be true when substituting a solution (x,y).

To summarize what I said all above:-

If you still have questions or queries about this problem or my answer, you can let me know in the comment!

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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The amount of the bottle that is filled with sand is; The whole bottle is full of sand

When talking about fraction word problems we are simply referring to fraction parameters being represented in the form of word problems.

The parameters given are;

Fraction with pink sand = 1/6

Fraction with red sand = 3/6

Fraction with white sand = 2/6

Thus;

Total sand = 1/6 + 2/6 + 3/6

= 6/6 = 1

Thus, the bottle will be full

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Answer:13 over 30

13/30 or 0.433

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Just divide 660 by 15 to get 44.

The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.

The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula

Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),

where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.

Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))

Confidence interval = (0.454, 0.681)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).

To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).

From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))

Confidence interval = (0.318, 0.457)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).

Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.

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After using the function equation the answer is f(-2) = 10

What do you mean by function?

Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

In mathematics, a function from a set X to a set Y assigns exactly one element of Y to each element of X.  The set X is called the domain of the function and the set Y is called the codomain of the function

Given function:

f(x) = \(5x^2-10\)

at x = -2

Substitute the value of x in the above function.

f(-2) = \(5(-2)^2-10=5(4) - 10 = 20 - 10 = 10\)

Therefore, f(-2) = 10

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The lac curve, also known as the envelope curve, is a curve that shows the maximum amount of work that can be done in a given period of time.

It is defined by the equation: W = min {W1 + W2, W3, W4, ..., Wn}, where W1, W2, W3, W4, ..., and Wn are the individual work tasks. The envelope curve is called such because it forms an envelope that encompasses all of the individual tasks on the graph, visually representing the maximum amount of work that can be done within the given timeline. This curve can be used to assess the efficiency of a task or project, as well as to analyze the impact of changes in the workload, deadlines, and resources.

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The option that match the range of the graphed function are

b. 1

c. 2

d. -4

e. 3

f.  -2

In geometry, the term "range" typically refers to the set of all possible values that a function or a variable can take. This is is the output variables. they are usually shown in the y axis

It represents the output values of a function or the values that a variable can attain within a given context.

For the graph, viewing from the range axis, the solid dot starting at point -2 and 2 makes 2 to be part of the range

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Answer:80%

Step-by-step explanation:

Answer:

center=(5,-3)

radius = 2 unit

Step-by-step explanation:

Answer:

(5,-3)    radius-- 2

Step-by-step explanation:

Yes, the statement "The students are going to study for the math test next week" is a statement.

A statement is a sentence that can be either true or false. In this case, the sentence "The students are going to study for the math test next week" expresses a clear proposition about the students' future actions, indicating their intention to study for the math test. It can be evaluated based on the behavior and choices of the students.

The sentence has a subject ("the students") and a predicate ("are going to study for the math test next week") that states a specific action. The statement is not a question, command, or a vague expression.

It provides a clear and straightforward statement about the students' future study plans for the math test. Whether the students actually follow through with their intention is a separate matter, but the sentence itself is a statement since it can be objectively evaluated for its truth or falsity based on the students' actions during the specified time frame.

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Answer: just get a ruller

Step-by-step explanation: first go to wal-mart go to ruller isle then mesure

Answer: 8, -.8, -2.45, -23

Step-by-step explanation:

I think those are all the numbers. You repeated it twice so.

The given statement " The normal curve is symmetric about its​ mean, u" is true because it is equally distributed on both the sides of the mean.

The normal curve is always symmetric about the line representing its mean, u.

This means that the curve is equally distributed on both sides of the line representing the mean.

And the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean.

This is a defining characteristic of the normal distribution.

Which is widely used in statistics due to its many useful properties.

Therefore, the normal curve is symmetric which is about its mean is a true statement.

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The above question is incomplete, the complete, question is:

The normal curve is symmetric about its​ mean, u. T/F.

Answer:

8x

Step-by-step explanation:

The constants are the numbers that are NOT

attached to anything. In the expression, 3x + 2,

(2) is a constant because it is not attached to

anything. The (3) is not a constant because it

is attached to x, and it is actually a coefficient.

The set Q of all 2x2 symmetric matrices is a vector space as Q satisfies all the properties of a vector space, and is thus a vector space.

To verify that Q is a vector space, we need to check that it satisfies the following properties:

Therefore, Q satisfies all the properties of a vector space and is thus a vector space.

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The 95% confidence interval to estimate the average weekly donation per member is approximately $47.42 to $53.38.

To calculate the 95% confidence interval for the average weekly donation per member, we can use the following formula:

Confidence interval = Sample mean ± (Critical value) × (Population standard deviation / √(Sample size))

First, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.

Next, we can substitute the given values into the formula:

Sample mean = $50.40

Population standard deviation = $12.30

Sample size = 65

Using these values, we can calculate the confidence interval:

Confidence interval = $50.40 ± (1.96) × ($12.30 / √(65))

Calculating the value inside the parentheses:

($12.30 / √(65)) ≈ $1.52

Substituting this value into the formula:

Confidence interval = $50.40 ± (1.96) × $1.52

Calculating the values outside the parentheses:

$1.96 × $1.52 ≈ $2.98

Substituting this value into the formula:

Confidence interval ≈ $50.40 ± $2.98

Therefore, the 95% confidence interval is $47.42 to $53.38.

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Answer:

-2x + 10

Step-by-step explanation:

When you add units you affect the y axis.

Knowing this you can translate it 14 units up by adding 14 + (-4).

Proportion of bottles with volumes less than 1,015 ml, we can use the concept of standard deviation and the properties of the normal distribution.

In this case, we have a normally distributed population of bottle volumes with a mean of 1,007 ml and a standard deviation of 6 ml. We want to find the proportion of bottles that have volumes less than 1,015 ml.

The first step is to calculate the z-score, which measures how many standard deviations a value is from the mean. We can use the formula:

z = (x - μ) / σ

where x is the value we are interested in (1,015 ml), μ is the mean (1,007 ml), and σ is the standard deviation (6 ml).

Substituting the values into the formula, we get:

z = (1,015 - 1,007) / 6

Simplifying the equation:

z = 8 / 6

z ≈ 1.33

Next, we need to find the proportion of bottles with volumes less than 1,015 ml. We can use a standard normal distribution table or a calculator to find the corresponding cumulative probability for a z-score of 1.33.

Looking up the value in the table or using a calculator, we find that the cumulative probability for a z-score of 1.33 is approximately 0.9088.

This means that approximately 90.88% of the bottles have volumes less than 1,015 ml.

The correct answer is not 0.6293, but approximately 0.9088 or 90.88%.

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Answer:

A) 255 meters; B) 172

Answer:

A: 145m

B: 172 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of parallelogram = bh
=> The height = 108 : 9 = 12 ft

The length of the rug is less than the height of the parallelogram : 10 < 12
The width of the rug is also less than the base of the parallelogram : 6 < 9

So, the rug will fit in the room


:D

Answer:

x =x

Step-by-step explanation:

step 1 you can not identify an unknown variable therefore you leave it like that

Use the formula V = P(1 - r)ᵗ, where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years. Substituting the given values, the value of the car after 9 years is approximately 10920.91 dollars.

To calculate the value of the car after 9 years, we can use the formula for exponential decay:

V = P(1 - r)ᵗ

where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years.

Substituting the given values, we get:

V = 22400(1 - 0.0675)⁹ ≈ 10920.91

Therefore, the value of the car after 9 years is approximately 10920.91 dollars.

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Answer:

706.5

(there is no hundredths place)

Step-by-step explanation:

r=15

a= pi × r²

3.14×15²

15²=225

3.14×225=706.5

The probability that Jack arrives at least two minutes before Jill is 0.313 or 31.3%. The probability that the first person arrives by 12:05 p.m. and the last person arrives after 12:10 p.m. is 0.556 or 55.6%.

Let X be the arrival time of Jack, and Y be the arrival time of Jill, both in minutes after noon. Then X and Y are independent and uniformly distributed random variables on the interval [0, 15]. We want to find P(X < Y - 2).

The probability can be found by integrating the joint density function of X and Y over the region where X < Y - 2

P(X < Y - 2) = ∫∫[x < y - 2] f(x,y) dxdy

= ∫[0,13]∫[x+2,15] 1/225 dxdy

= (1/225) ∫[0,13] (15-x-2) dx

= (1/225) [13(13/2) - 13 - (2/2)(13/2)(13/15)]

= 0.313

Therefore, the probability that Jack arrives at least two minutes before Jill is 0.313, or approximately 31.3%.

Let Z be the arrival time of the first person, and W be the arrival time of the last person. Then Z and W are independent and uniformly distributed random variables on the interval [0, 15]. We want to find P(Z < 5 and W > 10).

The probability can be found by using the complement rule

P(Z < 5 and W > 10) = 1 - P(Z ≥ 5 or W ≤ 10)

To find P(Z ≥ 5), we integrate the density function over the interval [5, 15]

P(Z ≥ 5) = ∫[5,15] 1/15 dx = 2/3

To find P(W ≤ 10), we integrate the density function over the interval [0, 10]

P(W ≤ 10) = ∫[0,10] 1/15 dx = 2/3

Since Z and W are independent, we can multiply their probabilities to find the probability that both events occur

P(Z ≥ 5 or W ≤ 10) = P(Z ≥ 5) × P(W ≤ 10) = (2/3)² = 4/9

Therefore, P(Z < 5 and W > 10) = 1 - P(Z ≥ 5 or W ≤ 10) = 1 - 4/9 = 5/9, or approximately 0.556.

Therefore, the probability that the first of the 10 persons to arrive does so by 12:05 p.m., and the last person arrives after 12:10 p.m. is 0.556, or approximately 55.6%.

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Answer:

B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.

OR

D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.