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xenn [34]
3 years ago
15

An electronics company can spend no more than $4,000 on raw materials for circuit boards. The raw materials cost $10 per ounce f

or copper and $20 per ounce for silver.
To summarize the situation, a worker writes the inequality:

10c + 20s ≤ 4,000, where c is the number of ounces of copper material and s is the number of ounces of silver material.

Which graph's shaded region shows the possible combinations of raw materials the company can buy?

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

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Garrett chooses to invest $1800 in a simple. The account earns 3% interest over 5 years which equation represents garrets invest
Alla [95]

The interest earned in 5 years would be $270

<u>Explanation:</u>

Given:

Principal, P = $1800

Rate of interest, r = 3%

Time, t = 5 years

Simple interest, I = ?

We know,

I = \frac{p X r X t}{100}

On substituting the value we get

I = \frac{1800 X 3 X 5}{100} \\\\I = 270

Therefore, interest earned in 5 years would be $270

6 0
3 years ago
Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe
Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

4 0
2 years ago
PLZ HELP ASAP DIVIDE LINE SEGMENTS
rodikova [14]
Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
 
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3

yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2

B=(xb,yb)→B=(-3,2)

Answer: B=(-3,2)

7 0
3 years ago
Question 2 of 5
Tanzania [10]
B. 47


Hope this helps!!!
7 0
3 years ago
Read 2 more answers
Solve -2/3x &gt; 8 or -2/3x &lt; 4.
vekshin1
<h3>Answer: Choice C</h3>

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

8 0
2 years ago
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