Write an equation of the line with the given​ slope, m, and​ y-intercept (0,b)
m=8, b=7

Answer:

3.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the information given:

The joint density of [tex]y_1[/tex]  and  [tex]y_2[/tex] is given by:

[tex]f_{(y_1,y_2)} \left \{ {{y_1+y_2, \ \ 0\ \le \ y_1 \ \le 1 , \ \ 0 \ \ \le y_2 \ \ \le 1} \atop {0, \ \ \ elsewhere \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \right.[/tex]

a)To find the marginal density of [tex]y_1[/tex].

[tex]f_{y_1} (y_1) = \int \limits ^{\infty}_{-\infty} f_{y_1,y_2} (y_1 >y_2) \ dy_2[/tex]

[tex]=\int \limits ^{1}_{0}(y_1+y_2)\ dy_2[/tex]

[tex]=\int \limits ^{1}_{0} \ \ y_1dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]

[tex]= y_1 \ \int \limits ^{1}_{0} dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]

[tex]= y_1[y_2]^1_0 + \bigg [ \dfrac{y_2^2}{2}\bigg]^1_0[/tex]

[tex]= y_1 [1] + [\dfrac{1}{2}][/tex]

[tex]= y_1 + \dfrac{1}{2}[/tex]

i.e.

[tex]f_{(y_1}(y_1)}= \left \{ {{y_1+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]

The marginal density of [tex]y_2[/tex] is:

[tex]f_{y_1} (y_2) = \int \limits ^{\infty}_{-\infty} fy_1y_1(y_1-y_2) dy_1[/tex]

[tex]= \int \limits ^1_0 \ y_1 dy_1 + y_2 \int \limits ^1_0 dy_1[/tex]

[tex]=\bigg[ \dfrac{y_1^2}{2} \bigg]^1_0 + y_2 [y_1]^1_0[/tex]

[tex]= [ \dfrac{1}{2}] + y_2 [1][/tex]

[tex]= y_2 + \dfrac{1}{2}[/tex]

i.e.

[tex]f_{(y_1}(y_2)}= \left \{ {{y_2+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]

b)

[tex]P\bigg[y_1 \ge \dfrac{1}{2}\bigg |y_2 \ge \dfrac{1}{2} \bigg] = \dfrac{P\bigg [y_1 \ge \dfrac{1}{2} . y_2 \ge\dfrac{1}{2} \bigg]}{P\bigg[ y_2 \ge \dfrac{1}{2}\bigg]}[/tex]

[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} f_{y_1,y_1(y_1-y_2) dy_1dy_2}}{\int \limits ^1_{\frac{1}{2}} fy_1 (y_2) \ dy_2}[/tex]

[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} (y_1+y_2) \ dy_1 dy_2}{\int \limits ^1_{\frac{1}{2}} (y_2 + \dfrac{1}{2}) \ dy_2}[/tex]

[tex]= \dfrac{\dfrac{3}{8}}{\dfrac{5}{8}}[/tex]

[tex]= \dfrac{3}{8}}\times {\dfrac{8}{5}}[/tex]

[tex]= \dfrac{3}{5}}[/tex]

= 0.6

(c) The required probability is:

[tex]P(y_2 \ge 0.75 \ y_1 = 0.50) = \dfrac{P(y_2 \ge 0.75 . y_1 =0.50)}{P(y_1 = 0.50)}[/tex]

[tex]= \dfrac{\int \limits ^1_{0.75} (y_2 +0.50) \ dy_2}{(0.50 + \dfrac{1}{2})}[/tex]

[tex]= \dfrac{0.34375}{1}[/tex]

= 0.34375

Answer:

6.31 thats what I think

Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

3. [tex]c^{11}[/tex] add exponents

4.[tex]m^{60}[/tex] multiply exponents

5.[tex]x^{6} y^{18}[/tex] distribute and multiply exponents

6. [tex]-21 a^{47} *b[/tex] multiply and then add exponents

7.[tex]100 a^{14} b^{4} c^{12}[/tex] distribute and multiply exponents

8.[tex]n^{22}[/tex] multiply and then add exponents

Answer:

the logo could be kate spade

Answer:

x intercept(3, 0) y intercept(0, -10)

Answer:

3,240 / 9= 360\

360 boxes

Step-by-step explanation:

Answer:

360 boxes were used.

Step-by-step explanation:

9514 1404 393

Answer:

  3396

Step-by-step explanation:

The ratio tells you that out of every 7+4 = 11 votes, 4 of them were 'no' votes. Then the number of no votes is ...

  (4/11)(9339) = 3396 . . . no votes

Answer:

A.

Step-by-step explanation:

-8+13=5

hope this helps :3

if it did pls mark brainliest

Answer:

A. 5

Step-by-step explanation:

You can rewrite the equation as 13-8

Now that it is simpler you can solve it:

5

Hope this helps!

Time for which Bradly has to mow lawns to get $48:

We know that Bradly earn $3 every 3/4 hours of mowing lawns

Time taken by Bradly to get $1:

time taken by Bradly to get $1 = time taken to get $3 / $3

time taken = (3/4) / 3

time taken = 1/4 hours / dollar

Time taken by Bradly to get $48:

Time taken to get $48 = time taken to get $1 * 48

Time taken to get $48 = 1/4 * 48

Time taken = 12 hours

Therefore, after 12 hours of Mowing lawns, Bradly will have $48

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

Answer:

60

Step-by-step explanation:

The length of a straight line is 180

To find x subtract 180 by 120

180-120=60

Answer:

8.5 I believe

Step-by-step explanation:

7 + 4 = 11

.75 + .25 = 1

11 + 1 = 12

20.5

- 12 .0

8 . 5

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.

Answer:

90% Confidence Interval = [24.81, 25.19]

Step-by-step explanation:

From the question, our number of samples is 20, it is small because it is less than 30. Hence we use the t score confidence interval formula

= Mean ± t score × Standard deviation/√n

Mean = 25 ohms

Standard deviation = 0.5 ohms

n = 20

We find the degrees of freedom = n - 1

= 20 - 1 = 19

Using the T score table

T score for 90% confidence interval with degrees of freedom 19

= 1.729

Hence:

Confidence Interval =

= 25 ± 1.729 × 0.5/√20

= 25 ± 0.1933080767

=

Confidence Interval

25 - 0.1933080767

= 24.806691923

≈ 24.81

25 + 0.1933080767

= 25.1933080767

≈ 25.19

90% Confidence Interval = [24.81, 25.19]

Answer:

real annual rate= 0.1606 = 16.06%

Step-by-step explanation:

Giving the following information:

APR= 14.99% = 0.1499

First, we will determine the nominal monthly rate:

Nominal monthly rate= 0.1499/12

Nominal monthly rate= 0.01249

Now, to calculate the real annual rate, we need to use the following formula:

real annual rate= [(1 + Nominal monthly rate)^n] - 1

real annual rate= [(1.01249^12) - 1]

real annual rate= 0.1606 = 16.06%

4⁸

alternative form:

65536,6.5536×10⁴

Answer:

70.47feet

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE

From the attachment we can see that a triangle was formed, where the

OPPOSITE SIDE= X

HYPOTENUSE=76feet

From trigonometry,

Sin(θ)=opposite/Hypotenuse

Sin(68)= X/76

Cross multiply, we have,

X= Sin(68) × 76

X= 0.9272 × 76

X= 70.47feet

Therefore, the antenna is 70.47feet tall.

Answer:

30

Step-by-step explanation:

25% is 10 and if you multiply that by 3 to get 75% the answer is 30

Answer: h(x)=x^2-1: down 1

k(x)=x^2+1: up 1

m(x)=(x-1)^2: right 1

g(x)=(x+1)^2: left 1

Step-by-step explanation: just answered this question on edge 2020.

The answer is

B ($5/3 pounds)

Answer:

it is B

Step-by-step explanation:

it is B $5/3 pounds

Answer:

x = 3/2 , y = -1

Step-by-step explanation:

I'm assuming that you are being asked to solve the system of equations for x and y.

given:

4x- 2y = 8  ---------------(1)

2x + y =2 -----------------(2)

We can solve this by elimination:

multiple (2) by 2, we get:

2(2x + y) =2(2)

4x + 2y = 4 ------------(3)

(1) + (3) , we get:

(4x- 2y) - (4x + 2y) = 8 + 4

8x = 12   (divide both sides by 8)

x = 12/8

x = 3/2   answer, substitute this into (2)  

2(3/2) + y =2

3 + y = 2  (subtract 3 from both sides)

y = 2 - 3

y = -1  answer

The equivalent expression is (2a + 1)².

Option (A) is correct.

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.

As per the given data in the question:

We are given an expression, and we have to find out the equivalent expression from the given options in the question.

The expression is (2a + 1)(2a + 1)

For option (A). (2a + 1)²

In (2a + 1)(2a + 1) using associative multiplication.

= 2a.2a + 2a + 2a + 1

= 4a² + 4a + 1

Using the identity: a² + 2ab + b² = (a + b)²

4a² + 4a + 1 = (2a + 1)²

The equivalent expression is (2a + 1)².

Hence, The equivalent expression is (2a + 1)².

To learn more about Polynomial, click:

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Answer:

49.50

Step-by-step explanation:

Answer:

Estimate: $50.00

Step-by-step explanation:

Estimate: round both numbers

$4.95 rounds up to $5.00

10 plants is rounded to 10 plants

Set up equation

$5.00 × 10 plants

Solve

$50.00 total

Answer: 2/3 would be the simplified form

Step-by-step explanation: Hoped this helped!!!

Answer: 2/3

Step-by-step explanation:

Answer:

HE=11

EF=25

HF=28

DE=25

CH=14

BE=33

Step-by-step explanation:

The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33

The centroid is a point in a triangle where all the three medians of the triangle intersects.

Given that,  H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,

Here, BE, CF and DG are the medians of Δ BDF

We know that,

The centroid divides the medians into two parts always, ratio 2:1

And the medians divide their corresponding sides into two equal parts.

a) HE =

BH/HE = 2/1

Let HE = x, therefore, BH/HE = 22/x = 2/1

HE = 11

b) DE = DF/2 = 50/2 = 25

c) CH = (CF/3)x1 = 42/3 = 14

d) EF = DE = DF/2= 25

e) HF = (CF/3)x2 = 14x2 = 28

f) BE = HE+BH = 22+11 = 33

Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33

For more references on centroid, click;

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Answer:

ok wdym by that is that a question ?

Answer:

Two complex (imaginary) solutions.

Step-by-step explanation:

To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.

The discriminant formula for a quadratic in standard form is:

[tex]\Delta=b^2-4ac[/tex]

We have:

[tex]3x^2+7x+5[/tex]

Hence, a=3; b=7; and c=5.

Substitute the values into our formula and evaluate. Therefore:

[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]

Hence, the result is a negative value.

If:

Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.