pls
help, thank you so much!
The marginal cost of producing the xth box of DVDS is 14 + 2 and the fixed cost is $100,000. Find the cost function C(x). 70,000 CX) Need Help? Read Watch it

Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The probability that z lies between 0 and 3.01 is: 0.9987 - 0.5 = 0.4987 So, the answer is 0.4987. To find the probability that z lies between 0 and 3.01 for a standard normal variable, you need to look up the values in a standard normal (z-score) table or use a calculator with the normal distribution function.

For z = 0, the probability is 0.5 (due to symmetry of the standard normal distribution). For z = 3.01, the probability is approximately 0.9987. To find the probability between 0 and 3.01, subtract the probability of z = 0 from the probability of z = 3.01.

0.9987 - 0.5 = 0.4987

So, the probability that z lies between 0 and 3.01 is approximately 0.4987. Your answer is 0.4987.

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The definite integral in this problem has the value given as follows:

B. 42.

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^7 + 5) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^8}{8} + 5x\)

At x = 2, the numeric value of the integral is given as follows:

\(\frac{2^8}{8} + 5(2) = 42\)

At x = 0, the numeric value of the integral is given as follows:

0.

(as both terms involve a multiplication by x and x = 0).

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

42 - 0 = 42.

Hence option B is the correct option in the context of this problem.

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Answer:

Answer:

1/6

Step-by-step explanation:

Solution:

The given equation is:y=x/6 -5

arranging the equation :x/6-y=5

Given,

Coefficient of x=1/6

coefficient of y=-1

So,

Slope(m)=-(Coefficient of x/coefficient of y))

= -(1/6 / -1) {minus divided by - becomes plus }

1 by 6 whole divide by 1

= 1/6 ans✓

Answer:520

Step-by-step explanation:

Because 60+24=84.

80x5=400

24x5=120

Answer:

m=10

Step-by-step explanation:

divide 6m by 6 and 60 by 6 and you get m=10

Answer:

10

Step-by-step explanation:

divide both sides

6m÷6=60÷6

m=60÷6

m=10

Answer:

\(x= 15\)

Step-by-step explanation:

Francisca's mistake was that when she had an equation \(5 = \frac{1}{3} x\) instead of dividing both sides by  \(\frac{1}{3}\)  she substracted  \(\frac{1}{3}\)  from both sides. So the correct way would be...

\(5 = \frac{1}{3} x\\\\(5)(3) = (\frac{1}{3} x )(3)\)

\(15 = x\)

Answer:

5p

Step-by-step explanation:

if p=7, 5p=35

Answer:

5p

Step-by-step explanation:

The required manager has 12 fifty-dollar bills as of the given condition.

Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".

We know that the convention manager has a total of 48 bills, so:
x + y = 48

We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320

To solve for "y", we can rearrange the first equation to get:
y = 48 - x

Then substitute this expression for "y" in the second equation:

20x + 50(48 - x) = 1320

Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36

So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:

x + y = 48

36 + y = 48

y = 12

Therefore, the manager has 12 fifty-dollar bills.

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The probability of an event occurring 4 standard deviations from the mean in a normal distribution is extremely low. Specifically, the probability of an event occurring 4 standard deviations from the mean in a normal distribution is approximately 0.006%.

In a normal distribution, 68% of the values are within one standard deviation of the mean, 95% are within two standard deviations of the mean, and 99.7% are within three standard deviations of the mean. So, an event that is 4 standard deviations from the mean is extremely unlikely to occur.

This is because the empirical rule states that in a normal distribution, approximately 68% of observations will fall within 1 standard deviation of the mean, 95% of observations will fall within 2 standard deviations of the mean, and 99.7% of observations will fall within 3 standard deviations of the mean. Thus, the probability of an observation falling more than 3 standard deviations from the mean is very small, and the probability of it falling 4 or more standard deviations from the mean is even smaller. This demonstrates the importance of considering outliers and extreme values when analyzing data in a normal distribution.

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Answer:

Q is

92

On B q is 92

BRAINLIEST PLZ

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

80 degrees

Step-by-step explanation:

63+37=100 180(sum of triangle measures) -100=80

80 is your answer!

I hope this helps:)

Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop

To average 64 miles per hour for the whole trip, Justin must complete the 144-mile distance and the 15-minute stop in a total of 144 minutes (2 hours and 24 minutes) or less.

If we subtract the 15 minutes stop from the total time, Justin will have to cover the 144 miles in 129 minutes (2 hours and 9 minutes) or less.

To determine the required speed, we can use the formula:

\(speed = \frac{distance }{time}\)

So,  \(speed = \frac{144 miles}{129 minutes}=1.12 miles per minute\)

To convert this to miles per hour, we can multiply by 60:

1.12 miles per minute x 60 minutes per hour = 67.2 miles per hour

Therefore, Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The various forms of the expression use the relation ...

  -5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4

Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.

(8)(-5 1/4)

= (8)(-5 + -1/4)

= 8(-5) +8(-1/4)

= 8(-5) -8(1/4)

= 8(-6 +3/4)

Attached is the non-equivalent expression.

Answer:

Step-by-step explanation:

you will take the number from one dice and the number from the other dice and simply add them together. so if one dice equals 4 and the other is 1 you would lay it out as 4+1=5 hope this helps

Answer:

It would be 25LX. 1473K 298K x = 5.1L. 3).

Answer: 14.4 h

The speed is : \(v=\frac{d}{t} =\frac{252}{13} =19.46\) \(miles/h\\\)

The time it takes to travel 279 miles :

\(t'=\frac{d}{v} =\frac{279}{19.46} =14.4 hours\)

Answer:

-1,4

Step-by-step explanation:

move the point to the left 7 times

Answer:

\(\boxed{\sf D. \ Parallelogram}\)

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

Answer:

Parallelogram

Step-by-step explanation:

We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.

See the attached file for more understanding.

Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

Step-by-step explanation:

John's rent is   1325 - 820 = 505  MORE per month

  this is   505 / 217 = + 2.327 standard deviations above the mean

                      z - score = + 2.327

b)  not an outlier.....it under the bell curve 3 standard deviation limits

c)  > 3 S.D. would be an outlier   3 x 217 = 651 above the mean

     would be 820 + 651 = $1471

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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Using the line of best fit, the amount of texts a 15-year old would send in a day is of 67.69.

It gives the expected number of texts a person of an age a would send in a day, according to the following function:

t = -1.63a + 92.14.

For a person that is 15 years old, we have that a = 15, hence the expected number is given by:

t = -1.63 x 15 + 92.14 = 67.69 texts.

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Since the calculated t-value (2.24) is greater than the critical value (2.074), we reject the null hypothesis and conclude that there is convincing evidence that the average food intake is different for the patients in the treatment group. In other words, playing solitaire while eating lunch seems to have an effect on the amount of food consumed.

To determine whether there is convincing evidence that the average food intake is different for the patients in the treatment group, we can conduct a two-sample t-test. The null hypothesis is that the means of the two groups are equal, and the alternative hypothesis is that they are different.

H0: μa = μb

Ha: μa ≠ μb

where μa is the mean amount of biscuits consumed in the treatment group and μb is the mean amount of biscuits consumed in the control group.

We can use the following formula to calculate the test statistic:

t = (Xa - Xb) / √[(Sa²/n) + (Sb²/n)]

where Xa and Xb are the sample means, Sa and Sb are the sample standard deviations, and n is the sample size.

Plugging in the values from the question, we get:

t = (52.1 - 27.1) / √[(45.1²/22) + (26.4²/22)]

= 2.24

Using a two-tailed t-distribution with 22 degrees of freedom and a significance level of 0.05, the critical values are ±2.074.

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The required polar integral is 0.14173.

To change the Cartesian integral into an equivalent polar integral, we can use the formula:

∫∫R f(x, y) dA = ∫θ₁ θ₂ ∫r₁ r₂ f(r, θ) r dr dθ

Given the Cartesian integral:

∫∫D f(x, y) dA = ∫₁ ₁ ∫₁ ₁ [n(x²y² + 1)] dx dy

We will convert this into a polar integral using the following transformations:

r = √(x² + y²)

θ = tan⁻¹(y/x)

Then, we replace x² + y² with r² and dx dy with r dr dθ.

Substituting r cos θ for x and r sin θ for y, we have:

r = √(x² + y²)

r = √(r² cos²θ + r² sin²θ)

r = √(r²(cos²θ + sin²θ))

r = √(r²) = r

Next, we need to change the limits of integration. The inequality x² + y² ≤ 1 represents a circle centered at the origin with a radius of 1. Thus, the region can be written as:

r cos θ² + r sin θ² ≤ 1

r² ≤ 1

Now we can evaluate the polar integral. Applying the transformation and integrating:

∫∫D f(x, y) dA = ∫₁ ₁ ∫₁ ₁ [n(x²y² + 1)] dx dy

∫∫D f(x, y) dA = ∫₀ ²π ∫₀ ¹ [n(r⁴ cos²θ sin²θ + 1)] r dr dθ

After obtaining the polar integral, we can evaluate it as follows:

Integrating with respect to r:

(r/5 + r³/3) ∣₀¹

Integrating with respect to θ:

(θ/10) ∣₀ π/10

Evaluating these expressions, we find:

0.14173

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