What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *​

Answer:

64 inches

Step-by-step explanation:

There are 12 inches in a foot

12 x 5 is 60

64 is greater then 60

Answer:

[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]

[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]

[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]

Step-by-step explanation:

Given

[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]

Solving (a): The marginal density of X

This is calculated as:

[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]

[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]

[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]

Integrate

[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]

Substitute 1 and 0 for y

[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]

[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]

Solving (b): The marginal density of Y

This is calculated as:

[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]

[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]

[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]

Integrate

[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]

Substitute 1 and 0 for x

[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]

[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]

[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]

Solving (c): The probability that the drive-through facility is busy less than one-half of the time.

This is represented as:

[tex]P(x>0.5)[/tex]

The solution is as follows:

[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]

Represent as an integral

[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]

Integrate w.r.t. x

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]

[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]

[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]

[tex]P(x>0.5) =\frac{1.25}{3}[/tex]

Express as a fraction, properly

[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]

[tex]P(x>0.5) =\frac{5}{12}[/tex]

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.

Answer:

14

Step-by-step explanation:

The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:

7r+6=8r-8

Subtract both sides by 6

7r+6-6=8r-8-6

7r=8r-14

Subtract both sides by 8r

7r-8r=8r-14-8r

-r=-14

Divide both sides by -1

r=14

I hope this helps!

Answer:

0.16

Step-by-step explanation:

rewrite 16 percent in the terms of per 100 or over 100.

16% = 16 over 100 or,

16% = 16/100

16 over 100 is the same as 16 divided by 100. So completeing the division we get:

16 ÷ 100 = 0.16

Thus, the answer is 0.16

hope this helps you :)

Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

Answer:

27

Step-by-step explanation:

The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27

"200" (and any subsequent words) was ignored because we limit queries to 32 words

Kate is reading 40 pages per hour.

The whole book takes 12.5 hour to complete.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the data we have (5, 200) and (5,0)

then slope= (200-0) / 5

                = 40

So, Kate is reading 40 pages per hour.

Now, to read the whole book i.e., 500 pages it takes

= 500/40

= 12.5 hours

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

136 ft²

Step-by-step explanation:

floor = 7 x 6 = 42 ft²

sides = 2 x 7 x 5 = 70 ft²

ends = 1/2 x 6 x 4 x 2 = 24 ft²

42 + 70 + 24 = 136 ft²

Answer:

hi

Step-by-step explanation:

5x+10+2x+10+90=180

5x+2x=180-10-10-90

7x=70

x=10

have a nice day

Answer:

la primera es 10 la segunsa es 8000000000000

Answer:

0.5 meters a second or 0.5:1

Step-by-step explanation:

10 meters ÷ 20

_______________

20 seconds ÷ 20

=  

0.5 meters

_______________

1 second  

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

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

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

Answer:

A. 0.42

B. 0.12

C. 0.45

Step-by-step explanation:

A. The probability that they make the right decision on the first try

First person = 60%

Second person = 70%

= 60% * 70%

= 0.42

B. Probability that they make wrong decision

= Wrong decision from first person * wrong decision from second person

Wrong decision = 1- right decision

= 1-0.60 * 1-0.70

= 0.40x0.30

= 0.12

3. Probability they delay decision

= 0.60(1-0.60)+0.70(1-0.70)

= 0.60x0.40 + 0.70x0.30

= 0.24+ 0.21

= 0.45

Step-by-step explanation:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

The cost of the bench is $475

Step-by-step explanation:

Let cost of garden table= x and cost of bench= y

x + y = 996 (eqn 1)

x - y = 46 (eqn 2)

eqn 1 + eqn 2

2x = 1042

2x/2 = 1042/2

x = 521

The cost of the garden table is $521.

Substitute x = 521 into eqn 1

x + y = 996

521 + y = 996

y = 996 - 521

y = 475

The cost of the bench is $475.

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation [tex]\sigma[/tex] =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202  ÷ 10)^2

= 1568

Answer:

Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em

example 1:41.6

8-4=4x4=16

8x3.2=25.6

16+25.6=41.6

:)

Answer:

A. 15

B. 25.6

C. 41.6

Answer:-1

Step-by-step explanation:f(x)=3-x2

This is also...

f(x)=3+[(-1)(x2)]

We will execute the exponential. Then, we will multiply the result by the coefficient of -1.

f(-2)=3-(-2)2

f(-2)=3-(+4)

f(-2)=3-4

f(-2)=-1

Answer:

(2, 5)

Step-by-step explanation:

(x,y) -> )- y,x)

Answer:

D is correct

Step-by-step explanation:

as negatives grow bigger, the amount is smaller. Like if u owe somone $20, but u ask them for another $5, the number would be = -$25. so -3 1/2 is greater than -4.5

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

Answer:

t = 0.86 or t = 1.45

Step-by-step explanation:

Answer:

5x+11

Step-by-step explanation:

Hope this helped!!!

Answer:

2x+14

Step-by-step explanation:

hope this helps!

have a great day!!

Answer: 40%

Step-by-step explanation:

HOPE THIS HELPS ^^