Which of the following graphs could bw the graph of the function f(x)=.03x^2(x^2-25)

Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of

Romashka-Z-Leto [24]

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

4 0

3 years ago

In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,..., 36. To play the game, a metal ball is spun a

Oxana [17]

Answer:

$E(X)=-0.0526$

$Sd(X)=5.763$

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Let X be a random variable which denotes the money you may win or lose on each spin.

In the game of roulette, a wheel consists of 38 slots. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, we win $35; otherwise we lose $1. So we have just one possibility to win and 37 of lose on an individual game.

___________________________

X P(X)

___________________________

35 1/38

-1 37/38

___________________________

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(35)*(\frac{1}{38})+(-1)(\frac{37}{38})=-0.0526$

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(35^2)*(\frac{1}{38})+((-1)^2)(\frac{37}{38})=33.211$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =33.211-(-0.0526)^2 =33.208$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{33.208}=5.763$

4 0

3 years ago

Plzzzzzz help meeeee

kipiarov [429]

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

5 0

3 years ago

How do I solve 3/10+2.125 <br> Converted into fractions

ahrayia [7]

Answer:

97/40

Step-by-step explanation:

so 2.125= 17/8

3/10+17/8 need to find common denominator so

times 8/8 to 3/10

times 10/10 to 17/8

24/80+170/80= 194/80 (common denominator so can add)

divide 194/80 because want reduce form

97/40 is the answer

(When i look at it now i can just time 4/4 and 5/5 but its ok this still gets the answer)

3 0

3 years ago

The total cost CC (in dollars) to participate in a ski club is given by the literal equation C=85x+60C=85x+60, where xx is the n

Morgarella [4.7K]

First of all why is there 2 similar equation connected to one another?

Second in order to solve this all you need to do is plug in the number and solve for x

For 485

85x+60=485
85x=420
X=5

Do the same thing and you get 3

6 0

3 years ago

Read 2 more answers