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NikAS [45]
3 years ago
14

Type the correct answer in each box. If necessary, use / for the fraction bar. A bag contains 5 blue marbles, 2 black marbles, a

nd 3 red marbles. A marble is randomly drawn from the bag. The probability of not drawing a black marble is . The probability of drawing a red marble is .
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

Step-by-step explanation:

Problem One

Blue =   5

Black  =2

Red    = 3

First of all there are 10 marbles, 2 of which are black.

That means that 8 others are not black

You can draw any one of the 8.

P(not black) = 8/10 = 4/5

Problem Two

There are 10 marbles in all

3 of them are red.

P(Red) = 3/10  

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You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars
Charra [1.4K]

Answer:

Y = 15x+ 100

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

Y = 15x+ 100 ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

250 = 15x+ 100

15x=250-100

15x =150

x=\frac{150}{15}

x = 10 months

Therefore, we need to required 10 months for $250.

4 0
3 years ago
For the polynomial P(x) = 7x5 + 583<br> 5x + 6<br> What's the degree of the polynomial?
sergeinik [125]

Answer:

degree of the polynomial is highest power of x in P(x) .

P(x) = 7x^5 + 583 + 5x + 6

So degree is 5.

8 0
3 years ago
For Valentine's Day, Kelsey got a box of 24 chocolates. After one week, she'd eaten 5/8 of them. How many chocolates had Kelsey
Readme [11.4K]

Answer:

She had eaten 15 chocolates.

Step-by-step explanation:

\frac{5}{8} * 24 = \frac{120}{8} = 15

5 0
3 years ago
According to ​Lambert's law​, the intensity of light from a single source on a flat surface at point P is given by Upper L equal
malfutka [58]

Answer:

(a) L = k*(1 - sin^{2}(\theta))        

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

L = k*cos^{2}(\theta)   (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

cos^{2}(\theta) + sin^{2}(\theta) = 1

cos^{2}(\theta) = 1 - sin^{2}(\theta)  (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

L = k*(1 - sin^{2}(\theta))        

(b) When θ = 0, we have:

L = k*cos^{2}(\theta) = k*cos^{2}(0) = k  

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

5 0
3 years ago
Read 2 more answers
How does the graph of y=4x+7 differ from the graph of y=4x
Schach [20]

Find any two points on the line.

<span>x=0⇒y=4<span>(0)</span>+7=7⇒</span> Point 1: <span>(0,7)</span>

<span>x=−1⇒y=4<span>(−1)</span>+7=3⇒</span> Point 2: <span>(−1,3)</span>

Step 2: Plot the two points from Step 1

Step 3: Draw a straight line through both points

3 0
3 years ago
Read 2 more answers
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