A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance that a randomly chosen student will finish the semester with an A in the class and there is a 60% that a randomly chosen student will get an A on a test during the semester. Is the probability that a randomly chosen student receives an A in the class and an A on a test during the semester equal to 0.24? Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. No, because the chance of getting an A on a test and getting an A in the class are not independent. No, because the chance of getting an A on a test and getting an A in the class are not independent. Yes, because the chance of getting an A on a test and getting an A in the class are independent. Yes, because the chance of getting an A on a test and getting an A in the class are independent. No, because the chance of getting an A on a test and getting an A in the class are not mutually exclusive.

Answer:

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

Answer:

p

Step-by-step explanation:

p

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

Answer:

5

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

6 3/10

see, from the denominator that means 10,

multiply to whole, then 10×6,

we got 60 right;

now add numerator 60+3 = 63

here we got improper fraction,

that is 63/10

Answer:

-6x + y < 3

Step-by-step explanation:

After y = 3 the shading hits the y axis!

Brainliest Appreciated! Hope I helped!

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

Answer:

yes 4fl oz bottle of orange juice that costs $12 dollars is better to buy

Step-by-step explanation:

2 bottles of orange juice=8$

if you split 8$, you get 4$ that means each bottles of orange juice is 4$

so if you get 4 bottles of orange juice it is 4$x4$= 16$ The question says that 4 bottles cost 12$ its supposed to be 16$. So the 4 fl oz bottle of orange juice that costs 12$ dollars is better to buy.

1 bottle=4$               2x4=8$ (the first equation)    

1bottle=4$                4x4=16 (the second equation)   But the question says we got the bottle of orange juice for 12$ its supposed to be 16$ that is a huge discount. so yes the answer is correct.      

Answer:

30

Step-by-step explanation:

distribute the 5 to z and 4 --> 5z + 20

same with 5 to the 2 and -z --> 10-5z

5z + 20 + 10 - 5z = ? combind like terms

the z cancle out leaving 20 + 10 = ?

Answer:

20z-10z

Step-by-step explanation:

Distribute the 5 to both z and 4 which would make it 20z

Distribute the 5 to the 2 and -z which gives you 10z

Put them together and you get the answer

Answer:

5

Step-by-step explanation:

largest variability

Answer:

42%

Step-by-step explanation:

The first step is to calculate the difference in the number of fishes from the beginning of the day to the end of the day.

90 -52

= 38 fishes

Therefore the percent decrease can be calculated as follows

= 38/90 × 100

= 0.422 × 100

= 42.2 %

= 42% ( to the nearest cent)

Answer: kg

Step-by-step explanation:

Answer:

5 bags of candy

Step-by-step explanation:

60/12= 5

Since there are 12 pieces of candy in each bag, 12*5= 60, so each kid can have 1 piece of candy.

Answer:

5<b

Step-by-step explanation:

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Answer:

x=5.889

Step-by-step explanation:

2(9x6)=18x+2

108=18x+2

106=18x

x=106÷18

x=5.888888889

Answer:

Step-by-step explanation: h = -2t + 25

2t = the distance the glider will pass descending with constant speed of 2 m/s (distance = speed*time)

25 = the initial height that will decrease by the distance that the glider will pass while descending during time t

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

Answer:

x = -4

Step-by-step explanation:

there is no y-intercept when slope is undefined

Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point

Answer:

-2 is the domain

2 is the range.

Answer:

i think it's c, I could be wrong djxndnxmmx

Answer:

{2,4,9,16}

Step-by-step explanation:

Range are the y values, which are on the right.

Answer: i think it's 64

Answer:d

Step-by-step explanation:

Answer:

i think d

Step-by-step explanation:

it seems right

Answer:

⇒

y

=

−

2

x

+

13

Explanation:

You can use point-slope form to determine the slope

m

:

y

2

−

y

1

=

m

(

x

2

−

x

1

)

Given:

⇒

p

1

=

(

x

1

,

y

1

)

=

(

3

,

7

)

⇒

p

2

=

(

x

2

,

y

2

)

=

5,3)

Finding the slope:

3−7=m(5−3)−4=2m⇒m=−2

Step-by-step explanation:

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

c=155h-64

Step-by-step explanation:

you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester

Answer:

m = 1/2 or 0.25

Step-by-step explanation:

Brainliest Please!!

Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

Answer:

9/50

Step-by-step explanation:

There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:

Probability = number of favorable outcomes /total number of outcomes

Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50