Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.06, the probability that "she's up all night for good fun" is 0.30, and the probability that "she's up all night 'til the sun" is 0.46, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"?

Answer:

  (c)  $63.75

Step-by-step explanation:

The discounted price will be 100% -25% = 75% of the marked price. Mike's final price will be ...

  ($80 +5)×0.75 = $63.75

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The width of the rectangle is calculated as: 11 inches

The formula for area of a rectangle is:

A = l*w.  

Since the area is 33 in², then;

33 = x(x + 8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  

x² + 8x - 33 = 0.

To complete the square you need to add 33 to both sides.  

Now you have x² + 8x = 33  

Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 4², so 16.  

Now you have x² + 8x + 16 = 49

(x + 4)² = 49

Take  the square root of both sides and you have;

x + 4 = 7.  

Therefore, x = 3 (the short side) and 11 is the long side.

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Step-by-step explanation:

The formula to find the interior angle of a polygon is 180(n - 2) over n.

So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.

Now we use algebric method to solve for n.

180n − 360 = 120n

60n = 360

n = 6

I mean break it down 500 is well, hundreds 20 is tens and 0 is ones then you have .3 in tenths and .04 in hundredths, not that complicated.

So, the standard deviation of the probability distribution is approximately 2.780.

To find the standard deviation for the probability distribution, we first need to find the mean (or expected value) of the distribution.

The mean is given by:

μ = ∑(x * P(x))

where x is the number of adults with a college degree and P(x) is the corresponding probability from the table.

μ = (00.0081) + (10.0756) + (20.2646) + (30.4116) + (4*0.2401)

μ = 2.8

So, the mean number of adults with a college degree in a sample of 4 is 2.8.

Next, we can use the formula for the standard deviation of a probability distribution:

σ = √∑[(x - μ)² * P(x)]

where x is the number of adults with a college degree, μ is the mean we just calculated, and P(x) is the corresponding probability from the table.

σ = √ [(0-2.8) ²0.0081 + (1-2.8) ²0.0756 + (2-2.8) ²0.2646 + (3-2.8) ²0.4116 + (4-2.8) ²*0.2401]

σ = √ [7.72404]

σ = 2.780

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The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

Step-by-step explanation:

We are given that T is the midpoint of LM, J is the midpoint of MO, and P is the midpoint of LO. This means that LT = TM, JO = OM, and LP = PO.

We can use this information to find the lengths of the sides of triangle LMO. Since T is the midpoint of LM, we have LT = TM = 9. Similarly, since J is the midpoint of MO, we have JO = OM = 12. Finally, since P is the midpoint of LO, we have LP = PO = (LO)/2 = 32/2 = 16.

Now, we can use the Pythagorean theorem to find the length of the third side, LM:

LM^2 = LT^2 + TM^2

LM^2 = 9^2 + 16^2

LM^2 = 337

LM = sqrt(337)

Therefore, the perimeter of triangle LMO is:

LM + MO + LO = sqrt(337) + 2(12) + 32

Perimeter = sqrt(337) + 56

To find the perimeter of triangle TJP, we need to find the lengths of the sides TJ, JP, and TP. Since T and J are midpoints of their respective sides, we know that TJ = 2(LT) = 18 and JP = 2(JO) = 24. To find TP, we can use the Pythagorean theorem:

TP^2 = TJ^2 + JP^2

TP^2 = 18^2 + 24^2

TP^2 = 900

TP = 30

Therefore, the perimeter of triangle TJP is:

TJ + JP + TP = 18 + 24 + 30

Perimeter = 72

Therefore, the perimeter of triangle TJP is 72.

Answer:

24.93

Step-by-step explanation:

Rounding to two decimal places is the same as rounding to the nearest hundredth.

Locate the hundredth:

24.927

Check the number to the right of it:

24.927

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

7 is greater than 5. So, we round up.

24.927 ≈ 24.93

2.94 is the answer.

The first digit after the decimal represents the tenth place. the subsequent digit after the decimal represents the hundredth area. The closing digits retain to fill within the vicinity values till there are no digits left.

Rounding a decimal quantity to two decimal locations is the same as rounding it to the hundredth place, that's the second area to the right of the decimal factor. as an instance, 2.83620364 may be spherical to two decimal locations as 2.94, and 0.7035 can be spherical to 2 decimal places as zero.70.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

Answer:

39 is  47.56% of 82

Step-by-step explanation:

82 is 100% since it is our output value.

divide 39 by 82 to get the answer in decimal form:

39 / 82 = 0.4756

Then  multiplied the answer from the first step by one hundred to get the answer as a percentage

0.4756 * 100 = 47.56%

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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here is ur answer seeee now

Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

so,

length×width = 48 cm²

2×length + 2×width = 28 cm

length + width = 14 cm

length = 14 - width

we use this in the first equation :

(14 - width) × width = 48

14×width - width² = 48

-width² + 14×width - 48 = 0

a quadratic equation

ax² + bx + c = 0

has the general solution

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = -1

b = 14

c = -48

width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =

= (-14 ± sqrt(196 - 192))/-2 =

= (-14 ± sqrt(4))/-2 =

= (-14 ± 2)/-2 =

= 7 ± 1

width1 = 7 + 1 = 8 cm

width2 = 7 - 1 = 6 cm

length1 = 14 - width1 = 14 - 8 = 6 cm

length2 = 14 - width2 = 14 - 6 = 8 cm

so, we see, one of them must be 8 cm, and the other 6 cm.

let's length be the longer side, so

length = 8 cm

width = 6 cm

The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,

m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

Two lines AC and DF are parallel to each other  in the attached figure

Transversal HJ cut  lines AC and DF at point B and E respectively.

Measure of ∠ABE = 63°.

Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,

Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)

⇒Measure of ∠DEH = 63°

Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)

⇒Measure of ∠BEF = 63°

Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)

⇒Measure of ∠CBJ = 63°

Using the result of linear pair angles,

Measure of ∠ABE + Measure of ∠CBE = 180°

⇒ Measure of ∠CBE = 180° -63°

⇒  Measure of ∠CBE = 117°

Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)

⇒Measure of ∠FEH = 117°

Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)

⇒Measure of ∠BED = 117°

Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)

⇒Measure of ∠ABJ = 117°

Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

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The above question is incomplete, the complete question is:

Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.

In the attached figure.

Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Answer: 4000

Step-by-step explanation:

Using similarity principle, the height of the tower in feet is 60 feet.

The height of the tower can be calculated using similarity principle.

Using similarity principle the corresponding sides are a ratio of each other.

Therefore,

let

x = height of tower

24 / x = 10 / 25

cross multiply

10x = 24 × 25

10x = 600

divide both sides by 10

x = 600 / 10

x = 60

Therefore, the height of the tower is 60 feet.

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The demand equation illustrates the price of an item and how it relates to the demand of the item.

From the question, we have:

\(Plates = 300\)

\(Price = 20\)

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

\(\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}\)

The slope (m) is calculated using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{25-20}{290-300}\)

\(m = \frac{5}{-10}\)

\(m = -\frac{1}{2}\)

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

\(R(x) = (300 - 10x) \times (20 + 5x)\)

Open the brackets to calculate the maximum revenue

\(R(x) =6000 + 1500x - 200x - 50x^2\)

\(R(x) =6000 + 1300x - 50x^2\)

Equate to 0

\(6000 + 1300x - 50x^2 =0\)

Differentiate with respect to x

\(1300 - 100x =0\)

Collect like terms

\(100x =1300\)

Divide by 100

\(x =13\)

So, the price at maximum revenue is:

\(Price= 20 + 5x\)

\(Price= 20 + 5 * 13\)

\(Price= 85\)

In conclusion:

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Answer:

I think its B

Hope this helps

Answer:

5y + 3 or 3 + 5y

Step-by-step explanation:

"The product of 5 and y" means that this is a multiplication problem. "Added to 3" signifies an addition problem.

Answer:

\(\displaystyle \frac{7}{24}\)

General Formulas and Concepts:

Algebra I

Calculus

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]:                                                                    \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Rule [Fundamental Theorem of Calculus 1]:                                          \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Step-by-step explanation:

Step 1: Define

\(\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]\)

Step 2: Find Area

Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

We are going to graph the triangle with vertices J(2,-4), K(3,5) and L(6,-1). We obtain the figure:

As we want to reflect across the x-axis, the line of reflection is the x-axis.

In this case, we reflected each point across the x axis, by changing the sign of the y-coordinate. Thus, the point J(2,-4) becomes J'(2,4):

9514 1404 393

Answer:

Step-by-step explanation:

The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.

  f(0) = 12 . . . . absolute maximum

Answer:

The function \(f(x)=12-6x^4\) has an absolute maximum value of \(12\) and this occurs at \(x $\ equals 0.\)

Step-by-step explanation:

The maximum value of this function is at 12, because if you rewrite this function:

The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:

Vertex form of a parabola:

You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.

Since the parabola opens down (you can tell by the negative a-value \(-6\)), there is a maximum value at the k-value, i.e. the vertical shift.

\(f(x)=-6x^4+12\) has an absolute maximum value of \(12\).

To find where the maximum value occurs at, the formula:

Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.

Using our rearranged equation, the a, b, and c-values are:

Plug in the a and c values into the formula to find the x-value of the maximum point:

Therefore, the absolute maximum value of 12 occurs at x = 0.

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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