pic attached will give brainliest

Answer:

andrew

Step-by-step explanation:

(1) Looks like the joint density is

\(f_{X,Y}(x,y)=\begin{cases}cxy&\text{for }0<y<x<4\\0&\text{otherwise}\end{cases}\)

In order for this to be a proper density function, integrating it over its support should evaluate to 1. The support is a triangle with vertices at (0, 0), (4, 0), and (4, 4) (see attached shaded region), so the integral is

\(\displaystyle\int_0^4\int_y^4 cxy\,\mathrm dx\,\mathrm dy=\int_0^4\frac{cy}2(4^2-y^2)=32c=1\)

\(\implies\boxed{c=\dfrac1{32}}\)

(2) The region in which X > 2 and Y < 1 corresponds to a 2x1 rectangle (see second attached shaded region), so the desired probability is

\(P(X>2,Y<1)=\displaystyle\int_2^4\int_0^1\frac{xy}{32}\,\mathrm dy\,\mathrm dx=\boxed{\dfrac3{32}}\)

(3) Are you supposed to find the marginal density of X, or the conditional density of X given Y?

In the first case, you simply integrate the joint density with respect to y:

\(f_X(x)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dy=\int_0^x\frac{xy}{32}\,\mathrm dy=\begin{cases}\frac{x^3}{64}&\text{for }0<x<4\\0&\text{otherwise}\end{cases}\)

In the second case, we instead first find the marginal density of Y:

\(f_Y(y)=\displaystyle\int_y^4\frac{xy}{32}\,\mathrm dx=\begin{cases}\frac{16y-y^3}{64}&\text{for }0<y<4\\0&\text{otherwise}\end{cases}\)

Then use the marginal density to compute the conditional density of X given Y:

\(f_{X\mid Y}(x\mid y)=\dfrac{f_{X,Y}(x,y)}{f_Y(y)}=\begin{cases}\frac{2xy}{16y-y^3}&\text{for }y<x<4\text{ where }0<y<4\\0&\text{otherwise}\end{cases}\)

Answer:

Step-by-step explanation:

we will find the first angle in the larger triangle;

180⁰-60⁰= 120⁰

120⁰

the second angle will be;

120⁰+30⁰=150⁰

180⁰-150⁰=30⁰

30⁰ this means that the second triangle is isosceles triangle, when we find the hypotenuse of the smaller triangle it will be equal to x since the sides are equal

88/sin60⁰=x/sin90⁰

88sin 90⁰=xsin60⁰

88/0.8660=0.8660x/0.8660

x=101.62

9514 1404 393

Answer:

  y +4 = (1/5)(x +5)

Step-by-step explanation:

The point-slope form of the equation of a line is useful when you have a given point and slope.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Filling in the given values, this is ...

  y +4 = 1/5(x +5)

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

The amount of George's income that is subject to withholding is $75,000, which excludes the alimony income.

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

The incomes subject to withholding include the following:

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is $75,000, excluding the alimony income.

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The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

-2/3

Step-by-step explanation:

Answer:    -0.6

Step-by-step explanation:

trust me

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: k=−x

Hope this helps.

Allison runner is setting faster pace than Martha and Rachel

Speed of any object is defined as the distance traveled by the object with respect to time is known as speed.

Here, we can consider distance as laps.

Speed of Martha = 20 laps/ 32 min

⇒ 0.625

Speed of Allison = 16 laps/25 min

⇒ 0.64

And speed of Rachel = 17 laps/ 27.2 min

⇒ 0.625

Thus, according to above calculation Allison (runner) is taking faster pace.

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Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

108°

Step-by-step explanation:

x = 9

So x + 63° = 72°

So is 8x

So 8x = 72°

Multiply 72° by 2

144°

Now subtract 144° from 360°

The answer is 216°

Now divide by 2

108°

Hope this helped :)

Let the number her brother has = x

She has 5 times as many so she has 5x

Together they have 42:

X + 5x = 42

Add x and 5x to get 6x:

6x =42

Divide both sides by 6:

X = 7

The brother has 7

Carla has 5*7 = 35

Answer: Carla has 35 notebooks

Answer:

A:24 7/20

B:12 19/21

C:11 1/2

D:284 13/80

E:10

Step-by-step explanation:

hope it helps to you

Answer:

4x+3

Step-by-step explanation:

First, you need to take the 4 times a number part, which gives you 4x. Then you know you need to add 3 to that, so you end up with 4x+3

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

I'm assuming the x meant multiplication than a variable, when a number is next  the parenthesis it means multiplied already.

32(2 + 34) -5

32(2+34)−5     first solve what is going on within the parenthesis 2 + 34 is 36

= (32)(36)−5    Then multiplication comes next, multiplying 32 x 36

= 1152−5           The product is 1152 so then you subtract 5

= 1147                 With the final answer of 1147

Answer:

4x - 6

Step-by-step explanation:

let x = a number

Step-by-step explanation:

we just need to find out how many percentage of the daily goal each day, so let's assume that $50 is 100% of the daily goal.

Answer:

\(c > -1\)

Step-by-step explanation:

\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)

Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.7%

Here,

Jane bought a car for £24000

 she sold it for £26000

profit = 2000

profit percentage = 2000/26000 x100 = 7.69%

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Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Answer:

Step-by-step explanation:The answr is 1.36078

Answer:

294

Step-by-step explanation:

since the area is 7^3, the cube's side length is 7

SA = 6*7^2 = 294

Answer:

The value of the sample mean resonance frequency is 112Hz

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this problem, we have that:

Lower bound: 111.6

Upper bound: 112.4

Sample mean: (111.6 + 112.4)/2 = 112Hz

The value of the sample mean resonance frequency is 112Hz

The value of the sample mean resonance frequency is 112 Hz.

The value of the sample mean resonance frequency is equivalent to the average of the upper limit and the lower limit.

The sample mean resonance frequency = (lower limit + upper limit) / 2

(111.6 +112.4) / 2

= 224 / 2

= 112 Hz

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Answer:

Step-by-step explanation:

10 divided by 2.77 is

3.61010830325.

rounded up is 4 pounds?

Answer:

3

Step-by-step explanation:

If you divide 10 divided by 2.77 you get 3.610108303 but you don't need all the decimals so instead you will just get rid of the decimals in this scenario (not in all) and if you double check yourself by doing 2.77 x 3 you will get 8.31 and thats all you can do because 2.77 x 4 is 11.08 but you have a budget of $10.00 so your answer is:

You can get 3 pounds of blueberries with $10

A 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%

The 95% confidence interval for the proportion is expressed according to the formula;

\(CI=p\pm z\sqrt{\frac{p(1-p)}{n} }\)

p is the proportion = 268/400 = 0.67

z is the 95% z-score = 1.96

n is the sample space = 400

Substitute the given parameters into the formula to have:

\(CI=0.67\pm 1.96\sqrt{\frac{0.67(1-0.67)}{400} }\\CI=0.67\pm 1.96\sqrt{\frac{0.67(0.33)}{400} }\\CI=0.67\pm 1.96(0.0235)\\CI=0.67 \pm 0.0461\\CI=(0.67-0.0461, 0.67+0.0461)\\CI=(0.624, 0.7161)\\CI = (62.4 \%, 71.61 \%)\)

Hence a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%

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Answer:

70

Step-by-step explanation:

Substitute x with -6:

2(-6)²-2

2(36)-2

72-2

70