Which of these statements are correct? Select TWO that apply.

Answer:

x > 2

Step-by-step explanation:

x is the hours of accumulation.

3/2 *2 = 3

Answer:

The probability is [tex]P(X>30)=0.75[/tex]

Step-by-step explanation:

We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].

We need to find [tex]P(X>30)[/tex]

Given a continuous random variable [tex]X[/tex] with distribution :

[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers

The probability density function is :

[tex]f_{X}(x)=\frac{1}{b-a}[/tex]    if x ∈ (a,b)

[tex]f_{X}(x)=0[/tex]  if x ∉ (a,b)

In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :

[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)

[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)

If we want to find [tex]P(X>30)[/tex] we need to perform the integral

[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]

Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞

Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.

If we perform this integral ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]

Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]

Answer:

They left the beach at 2:30

Step-by-step explanation:

144+ 18x=360

..............................

Equations:

A + T = 735 naira

A = T + 95

A + T = 735

A - T = 95

Add and solve for A:

2A = 830

A = 415 naira

T = 735-415 = 320

Abiodun and Taiwo got 415 & 320 naira , respectively.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo.

now, we get

A + T = 735 naira

A = T + 95

A + T = 735

A - T = 95

Add and solve for A:

2A = 830

A = 415 naira

T = 735-415 = 320naira

Hence, Abiodun and Taiwo got 415 & 320 naira , respectively.

To earn more on addition click:

brainly.com/question/29560851

#SPJ2

Answer:

Universal set

Step-by-step explanation:

A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...

Answer:

since she subtracted 15 5 time a total of 5 rafts are needed

Step-by-step explanation:

Answer:

Reading it because you could really imagine and get the feel of it inside your head and almost feel like you are here

Step-by-step explanation:

I would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.

Annelies Marie "Anne" Frank was a German-born Jewish girl who kept a diary in which she documented life in hiding under Nazi persecution. She is a celebrated diarist who described everyday life from her family hiding place in an Amsterdam attic.

Given are excerpts from Anne Frank's diary and play version.

I would prefer the play version of excerpts from Anne Frank's Diary as watching a play is better than reading because the characters come to life, as does the way they relate to and interact with each other.

Therefore, i would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.

To solve more questions on Anne Frank's Diary, visit the link below -

https://brainly.com/question/7889208

#SPJ2

Answer:

the y-intercept is 7

Step-by-step explanation:

y=mx+b

m=slope

b= y-intercept

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

Answer:

Step-by-step explanation:

I'd suggest you find the two intercepts and draw a line through them.

y-intercept:  value of y when x = 0.  Here, f(0) = -15(0) + 4, so the y intercept is the point (0, 4).

x-intercept:  value of x when y = 0.  Letting f(x) = y = 0, we get

0 = -15x + 4, so that 15x = 4, and x = 4/15.  The x-intercept is (4/15, 0).

Plot the points (0, 4) and (4/15, 0) and draw a line thru them.

Answer:

2 teams are full and the last team has 8 members

Step-by-step explanation:

Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9

Answer:14 is H

Step-by-step explanation:

Answer:

3x+21 (H)

Step-by-step explanation:

9-3(3x-4)+12x

9-(9x-12)+12x

9-9x+12+12x

(9+12)+(-9x+12x)

21+3x or 3x+21

Answer: 8.75 is your answer

Answer:

8 3/4

Step-by-step explanation:

Answer:

false, false, true

Step-by-step explanation:

0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh

Complete question :

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6 hours

Step-by-step explanation:

Given the function :

Time t taken for flying distance d is given by:

t = 1/500 * d

Tine taken to fly 800 miles;

d = 800 miles

t = 1/500 * (800)

t = 800 / 500

t = 1.6

Hence, time t = 1.6 hours

Step-by-step explanation:

let the equation be y - y1 = 3/4(x - x1)

sub (4, 1/3):

y - 1/3 = 3/4(x - 4)

therefore answer is option 2.

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]

Step-by-step explanation:

To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.

Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.

Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.

Simplify equation 2

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]

Plug in the point

[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]

This checks out, so equation 2 is your answer.

Answer:  3 =92

               4 = 88

Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88

Answer:

∠3=88 , ∠4=92

Step-by-step explanation:

∠4 + 42° + 46° = 180° (angle sum property of a triangle)

∠4 + 88° = 180°

∠4 = 180° - 88°

∠4 = 92

∠3 + ∠4 = 180° (linear pair)

∠3 + 92° = 180°

∠3 = 180° - 92°

∠3 = 88°

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The two points are (9, 11) and (3, 6).

The equation of the line that passes through (9, 11) and (3, 6) will be given as,

(y - 6) = [(11 - 6) / (9 - 3)](x - 3)

y - 6 = (5/6)(x - 3)

y - 6 = (5/6)x - 5/2

y = (5/6)x + 7/2

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Answer:

A buyer would have to pay $533.45 for an article whose marked prices $567.50.

Step-by-step explanation:

Marked price = $567.50

Discount=6%

Price after discount = 567.50 - 6% of 567.50

                                  [tex]=\:567.50\:-\frac{6}{100}\:\times \:567.50[/tex]

                                   [tex]=567.5-34.05[/tex]

                                    [tex]=533.45[/tex] $

Therefore, a buyer would have to pay $533.45 for an article whose marked prices $567.50.

Answer:

32

Step-by-step explanation:

Answer:

The coordinate of [tex]Z[/tex] is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)

[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)

[tex]X = 0.4[/tex] (3)

[tex]Y = 5.8[/tex] (4)

From (2), we have the following expression:

[tex]YZ = \frac{7}{12}\cdot XZ[/tex]

[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]

[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]

[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]

[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]

[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]

[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)

If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:

[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]

[tex]Z = 13.36[/tex]

The coordinate of [tex]Z[/tex] is 13.36.