Given P(A) = 0.6 and P(B) = 0.8, do the following. If A and B are independent events, compute P(A and B)

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Answer:

  I and II

Step-by-step explanation:

The inequality ...

  3x +10 ≥ 2

has solutions ...

  3x ≥ -8 . . . . . . . . subtract10

  x ≥ -2 2/3 . . . . . divide by 3

Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...

  -1, 3 . . . . . . I and II only

Step-by-step explanation:

The answer is mentioned above.

Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

Answer:

83°

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

Answer:

83

Step-by-step explanation:

We look for constants a and b such that

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac a{2x-1} + \frac b{x-2}[/tex]

Rewrite all terms with a common denominator and set the numerators equal:

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)}{(2x-1)(x-2)} + \frac{b(2x-1)}{(x-2)(2x-1)} \\\\ \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)+b(2x-1)}{(2x-1)(x-2)} \\\\ \implies 7x-8 = a(x-2) + b(2x-1) = (a+2b)x - 2a - b[/tex]

Then

a + 2b = 7

-2a - b = -8

Solve for a and b. Using elimination: multiply the first equation by 2 and add it to the second equation:

2 (a + 2b) + (-2a - b) = 2(7) + (-8)

2a + 4b - 2a - b = 14 - 8

3b = 6

b = 2

Then

a + 2(2) = 7   ==>   a = 3

and so

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac 3{2x-1} + \frac 2{x-2}[/tex]

Answer:

a=3

b=2

Do whatever you want with that information^^

Answer:

y = 4x - 3

Step-by-step explanation:

Slope intercept form is made up of these components:

    The question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.

The first thing we must do for this case is to define variables:

x: the total mass of the chemical in the container

y: a sample of a chemical from a container

We have the following equation:

y = (3/10) x - 5 3/4

Then, for y = 39.1 we have:

39.1 = (3/10) x - 5 3/4

Clearing x:

(3/10) x = 39.1 + 5 3/4

(3/10) x = 44.85

x = (10/3) * (44.85)

x = 149.5 grams

Answer:

the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:

x = 149.5 grams.

pi is not a rational number.

decimals is also not a rational number.

whole number is rational number.

Constant difference ..refers to the idea that the difference between two numbers does not change after adding or subtracting the same quantity to both numbers..

connstant rario .means that youe ratio is the same all points

Step-by-step explanation:

When you have points with a constant ratio, it means that your y:x or x:y ratio is the same for all points. .

Constant difference could have been thought of as 52-19 = 53-20 or as 52-19 = 50-17, a similar problem that maintains the same difference between the larger and smaller values.

Answer:

As per given domain and range we can conclude that:

Here

[tex]\\ \sf\longmapsto Domain=(0,\infty)[/tex]

[tex]\\ \sf\longmapsto Range=(1,\infty)[/tex]

The function has positive integral values as it lies in 1st Quadrant

[tex]\\ \sf\longmapsto (x,y)=(1,\infty)[/tex]

Answer:

Step-by-step explanation:

A year has 12 months. 3 years have 36 months.

Total amount = 36 * 300 + 1000

Total amount = 10800 + 1000

Total amount = 11800

Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

Answer:

range =(7,2,4,2,1)

if my answer helps you than mark me as brainliest.

Answer:

[tex]thank \: you[/tex]

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

Answer:

r = 5

Step-by-step explanation:

Sine trigonometric ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

The sides of a triangle are opposite their angles.  Therefore, in ΔPQR:

⇒ side r is opposite angle R

⇒ side p is opposite angle P

⇒ side q is opposite angle Q

Using the given ratio of sin Q:

[tex]\sf \implies \sin Q=\dfrac{q}{H}=\dfrac{2}{5}[/tex]

Substitute the given value of q = 6 and solve for H:

[tex]\sf \implies \dfrac{6}{H}=\dfrac{2}{5}[/tex]

[tex]\sf \implies H=6 \cdot\dfrac{5}{2}[/tex]

[tex]\sf \implies H=15[/tex]

Using the given ratio of sin R:

[tex]\implies \sf \sin R=\dfrac{r}{H}=\dfrac{1}{3}[/tex]

Substitute the found value of H and solve for r:

[tex]\implies \sf \dfrac{r}{15}=\dfrac{1}{3}[/tex]

[tex]\implies \sf r=15 \cdot\dfrac{1}{3}[/tex]

[tex]\implies \sf r=5[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/26861422

https://brainly.com/question/27938163

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Answer:

  p = 12

Step-by-step explanation:

The sines of the opposite angles are the same, so the lengths of the sides are the same.

  p = 12

_____

The law of sines tells you ...

  p/sin(P) = r/sin(R)

  p/0.2 = 12/0.2 . . . . . . substitute given values

Multiply by 0.2 to get ...

  p(0.2/0.2) = 12(0.2/0.2)

  p = 12

Answer:

1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42 = 7/49 = 8/56 = 9/63 = 7/10

Step-by-step explanation:

Answer:

The greatest common factor is 1

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

294738917263748hehejshdhf

Answer:

x=4

Step-by-step explanation:

5+3x=17

-5        -5

3x=12

3       3

x=4

Answer:

x = 4

Step-by-step explanation:

[tex]5+3x=17\\\\3x=12\\\\x=4[/tex]

Answer:

56 chocolate chips will be used with 40 cookies.

Step-by-step explanation:

14 chocolate chips = 10 cookies

? chocolate chips = 40 cookies

Variable x = number of chocolate chips for 40 cookies

14/10 = x/40

Cross multiply:

14 × 40 = 10 × x

560 = 10x

56 = x

Answer:

The balloon is rising at a rate of 50π/3 feet per minute.

Step-by-step explanation:

A weather balloon is rising vertically while being observed from a point who is exactly 300 feet away from the spot directly beneath the ground.

This is represented in the diagram below.

We want to find the rate at which the balloon is rising (i.e. find dh/dt) when the angle between the ground and the observer is π/6 (i.e. when θ = π/6), and is increasing at a rate of π/24 radians per minute (i.e. when dθ/dt = π/24).

Write a ratio relating the variables:

[tex]\displaystyle \tan \theta = \frac{h}{300}[/tex]

Take the derivative of both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\left[ \tan\theta\right] = \frac{d}{dt}\left[ \frac{h}{300}\right][/tex]

Implicitly Differentiate:

[tex]\displaystyle \sec^2\theta \cdot \frac{d\theta}{dt} = \frac{1}{300} \frac{dh}{dt}[/tex]

Substitute in known values:

[tex]\displaystyle \sec^2 \left(\frac{\pi}{6}\right) \left(\frac{\pi}{24}\right) = \frac{1}{300} \frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]\displaystyle \begin{aligned} \frac{dh}{dt} &= 300\left(\sec^2\left(\frac{\pi}{6}\right)\left(\frac{\pi}{24}\right)\right) \\ \\ &= 300\left(\frac{4}{3}\right)\left(\frac{\pi}{24}\right) \\ \\ &= \frac{50\pi}{3} \text{ feet per minute}\end{aligned}[/tex]

In conclusion, the balloon is rising at a rate of 50π/3 feet per minute.

Answer:

probability is 32/52 or about 0.615

Step-by-step explanation:

There are 12 face cards

of the remaining 52 - 12 = 40 cards, half of them are black

so 12 + 40/2 = 32 cards would be considered successful

Answer:

(fog)(x) =x –14

(gof)(x) =x

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14[/tex]

[tex](gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x[/tex]

multiply x with x:

5×-8= -40

multiply y with y:

-4×7=-28

Answer:

(-40,-28)

Answer:

15 units

Step-by-step explanation:

that is the answer yep

Answer:

9.2

Step-by-step explanation:

it said it

Answer:66.5 degrees

Step-by-step explanation: