for a standard normal distribution, given: p(z < c) = 0.624 find c.

Answer:

54°

Step-by-step explanation:

(x+87°) + (x+81°) + (x+30°) = 360°

The slope of the line that contains the points: (-7, 8) and (12, 8) is 0

From the question, the points are given as

(-7, 8) and (12, 8)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) =  (-7, 8) and (12, 8)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) =  (-7, 8) and (12, 8)

Substitute the known values in the above equation

So, we have the following equation

Slope = (8 - 8)/(12 + 7)

Evaluate

Slope = 0

Hence, the slope of the line is 0

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Answer:

Below

Step-by-step explanation:

Realize that the angles are supplementary

x-17   +     7x+5  = 180

8x -12 = 180

8x = 192

x = 24

Answer:

6

Step-by-step explanation:

The solution for this problem is in this picture.

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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Answer: is not a function

The durations of presentations whose difference is equal to 11/12 will be the correct answer.

The process of taking a matrix, vector, or other quantity away from another under specific rules to obtain the difference is called subtraction.

Given is that four presentations are being offered at a training seminar.

Since the durations of the presentations is not given, we will assume the general way of solving the problem.

The durations of presentations whose difference is equal to 11/12 will be the correct answer.

Mathematically, we can write -

x - y = 11/12

Therefore, the durations of presentations whose difference is equal to 11/12 will be the correct answer.

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Answer:

28m+24f

Step-by-step explanation:

just simplify as u normally would :)

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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Answer:

27

Step-by-step explanation:

You would go 83.5 - 2.5 to get 81

divide 81 by three to get 27

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

To find the percentage discount, we can use the Discount Formula:

\(\boxed{\sf Discount\;Percent=\dfrac{List\;Price-Selling\;Price}{List\;Price} \times 100}\)

The list price is the price on the tag, so $39.

The selling price is the price Isaac paid before tax, so $33,15.

Substitute these values into the formula:

\(\sf Discount\;Percent=\dfrac{39-33.15}{39} \times 100\)

\(\sf Discount\;Percent=\dfrac{5.85}{39} \times 100\)

\(\sf Discount\;Percent=0.15 \times 100\)

\(\sf Discount\;Percent=15\%\)

Therefore, the percent discount is 15%.

The missing data value according to the given z-score is 39.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is 39.

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Step-by-step explanation:

(3)

3 - 8 = -5

-2 - 3 = -5

so, I think the common difference is - 5

(4)

7² - 1

7² + 1

= 49 - 1

49 + 1

= 48

50

23

25

And that's the answer I think.

BRAINLIEST again would be advantageous❤︎

Answer:

Step-by-step explanation:

There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.

Solution:

Given:

Cross multiplying the expression,

Therefore, the weight of 12-ft length is 248.4 lb

Answer:

216

Step-by-step explanation:

First, multiply 0.6 by 10

The answer is 6

The multiply 6 to the third power.

6 · 6 · 6 = 216

Hope I helped :)

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Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

The amount of the sales tax is $2.24.

Given that,

Based on the above information, the amount of the sales tax rate is

\(= \$32 \times 7\%\)

= $2.24

Here we simply multiply the cost with the sales tax rate.

Therefore we can conclude that the amount of the sales tax is $2.24.

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Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

The given claim by the company that a cereal packet   weighs around 14 oz is considered as a Type I error because it rejects an accurate null hypothesis. Type I error refers to a statistical concept that describes  the incorrect rejection of an accurate null hypothesis.

In short, it is a false positive observation. For the given case, the cereal company positively projects that the mean weight of cereal present in  packets is at least 14 oz and gets rejected, this claim even though it is accurate and should not be rejected, but it wents and is labelled as a Type I error.

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Answer:

B.

Step-by-step explanation:

The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.

Answer: 240=MN×height. Area of parallelogram PMNQ = 240 sq. cm. Area of triangle = 12×240=120 sq.

Step-by-step explanation:

Answer:

x = 4

y = 6

Step-by-step explanation:

y - x = 2

y = -1/4x + 7

Subtract ,

-x = 1/4x -7 +2

-x-1/4 = -5

-5/4x = -5

x = 4

For y ,

y = x + 2

y = 4+2 = 6

The noise in the medium is also a Gaussian distributed random variable with a mean of 0 and standard deviation of 7 (square root of 49). The probability of X being greater than 10 is very small, less than 0.001%.

In this communication system, the signal Θ is a Gaussian distributed random variable with a mean of 0 and standard deviation of 1. The noise in the medium is also a Gaussian distributed random variable with a mean of 0 and standard deviation of 7 (square root of 49).

The receiver observes X, which is the sum of 2Θ and W. Since Θ and W are independent, we can calculate the mean and variance of X as follows:

E[X] = E[2Θ + W] = 2E[Θ] + E[W] = 0 + 0 = 0

Var[X] = Var[2Θ + W] = 4Var[Θ] + Var[W] = 4(1) + 49 = 53

Therefore, X is also a Gaussian distributed random variable with a mean of 0 and standard deviation of √53 = 7.2801.

To find the probability of X taking a certain value, we can use the formula for the Gaussian probability density function:

f(x) = (1/√(2πσ^2)) * e^(-(x-μ)^2/(2σ^2))

where μ is the mean and σ is the standard deviation. For example, the probability that X is equal to 0 can be calculated as:

f(0) = (1/√(2π*53)) * e^(-(0-0)^2/(2*53)) = 0.0494

To find the probability of X being greater than a certain value, we can use the cumulative distribution function (CDF) of the Gaussian distribution. For example, the probability that X is greater than 10 can be calculated as:

P(X > 10) = 1 - Φ((10 - μ)/σ)

where Φ is the standard normal CDF. Substituting the values for μ and σ, we get:

P(X > 10) = 1 - Φ((10 - 0)/7.2801) = 0.00002

So the probability of X being greater than 10 is very small, less than 0.001%.
In the given communication system with Gaussian noise, the signal Θ is a Gaussian distributed random variable Θ∼N(0,1), and the noise W is also a Gaussian distributed random variable W∼N(0,49), independent of the signal. The receiver observes X = 2Θ + W. To provide accurate information, answers should be given to at least 4 decimal places.

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Answer:

 x +   y = 29

5x + 2y = 100

Step-by-step explanation:

Has 29 problems

then

x + y = 29

x be the number of worth 5 points questions:

5x

y be the number of worth 2 points questions

2y

the total both worth is 100 points

then:

5x + 2y = 100

Answer:

x + y = 29          5x + 2y = 100

Answer:

answer in picture

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

Let's test this out. So for example you have the fractions: 12/30 and 18/?

Let's solve for ?

12 - 18

30 - ?

Solve: 30×18÷12=45

In the problem it also said 45 on the bottom, so yah they are proportional.

Answer:

So $700 was invested in the mutual fund that earned a 2% profit, and $500 was invested in the mutual fund that earned a 5% profit.

Step-by-step explanation:

Let x be the amount invested in the mutual fund that earned a 5% profit, and let y be the amount invested in the mutual fund that earned a 2% profit. We know that the total investment was $1,200, so:

x + y = 1200

We also know that the total profit was $39, which can be expressed as a decimal as 0.39 (since profit is calculated as a percentage of the initial investment). The amount of profit earned on the first fund is 5% of x, or 0.05x, and the amount of profit earned on the second fund is 2% of y, or 0.02y. So:

0.05x + 0.02y = 0.39

We now have two equations with two variables:

x + y = 1200

0.05x + 0.02y = 0.39

We can solve for one variable in terms of the other in the first equation, and substitute into the second equation:

x = 1200 - y

0.05(1200 - y) + 0.02y = 0.39

Simplifying and solving for y:

60 - 0.05y + 0.02y = 0.39

0.03y = 0.39 - 60

0.03y = -59.61

y = -59.61 / 0.03

y = 1987

This tells us that $1,987 was invested in the mutual fund that earned a 2% profit. To find the amount invested in the mutual fund that earned a 5% profit, we can substitute into the first equation:

x + y = 1200

x + 1987 = 1200

x = 1200 - 1987

x = -787

This doesn't make sense, since we can't have a negative investment amount. It means that we made a mistake somewhere. Checking our work, we can see that the equation 0.05x + 0.02y = 0.39 should actually be:

0.05x + 0.02y = 39

(without the decimal point). With this correction, we can solve as before:

x + y = 1200

0.05x + 0.02y = 39

x = 1200 - y

0.05(1200 - y) + 0.02y = 39

60 - 0.05y + 0.02y = 39

0.03y = 21

y = 700

So $700 was invested in the mutual fund that earned a 2% profit, and $500 was invested in the mutual fund that earned a 5% profit.

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18

Answer:

theres is no solution

Step-by-step explanation: