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3 years ago

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There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without repl

acement, then what is the probability that both are red in color?

1 answer:

lapo4ka [179]3 years ago

4 0

The probability that both marbles will be a red color is:

6..... ⇔ number that satisfies the constraint
_____
15..... ⇔ number of outcomes

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50 POINTS!! A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?

Svetllana [295]

Thats not 50 points brodi

8 0

3 years ago

Please help me! Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 f

blsea [12.9K]

Answer:

Step-by-step explanation:

This is an incomplete problem. Other data were not given.

Given:

Profit of every sandwich = $2

Profit of every wrap = $3

x = sandwich

y = wrap

Last month: 2x + 3y = 1,470

Next month: 2x + 3y = 1,593

Based on the given equation:

Both still have the same profit. $2 for sandwiches and $3 for wraps.

The only reason why there is a difference in the total amount is the change in the number of sandwich or wrap sold in a given month.

Since, next month's total sale is higher than last month's total sale, it is safe to assume that the sale of sandwich or wrap is higher than last month's sale.

4 0

3 years ago

3. A box contains 5 black shirts, 9 blue shirts, 7 black pants, and 8 blue pants. Determine the probability of randomly selectin

USPshnik [31]

Answer:

56

Step-by-step explanation:

7 0

3 years ago

AREA, PERIMETER & VOLUME QUESTION

MrRissso [65]

Answer:

1. Case B

2. 9 cm³

3. 20 cm.

4. 4.5 m³

Step-by-step explanation:

Question 1: We are required to fit a drum having volume 14,000 cm³.

We know that the volume of cylinder = πr²h, where r is the radius and h is the height. So, according to the cases:

A. Here, r = 100 mm = 10 cm, h = 300 mm = 30 cm.

So, volume of the drum = πr²h = $\pi \times 10^{2} \times 30$ = 9424.78 cm³.

We cannot put the given drum inside this drum.

B. Here, r = 200 mm = 20 cm, h = 30 cm.

So, volume of the drum = πr²h = $\pi \times 20^{2} \times 30$ = 37699.11 cm³.

C. Here, r = 32 cm, h = 250 mm = 25 cm.

So, volume of the drum = πr²h = $\pi \times 32^{2} \times 25$ = 80424.77 cm³.

Out of options B and C, the smallest volume is in CASE B i.e. 37699.11 cm³.

So, Case B is the correct option.

Question 2: We have the dimensions of the speaker as,

Length = 45 cm = 0.45 m, Width = 0.4 m, Height = 50 cm = 0.5 m

Now, Volume of a cuboid = L×W×H

Thus, volume of the speaker = 0.45 × 0.4 × 0.5 = 0.09 m³ = 9 cm³.

Question 3: We have that the volume of the speaker is 30,000 cm³.

Also, Length = 30 cm = 0.45 m, Height = 500 mm = 50 cm.

So, volume of the speaker = L×W×H

i.e. 30,000 = 30 × W × 50

i.e. W = $\frac{30,000}{1500}$

i.e. W = 20 cm.

Hence, the width of the speaker is 20 cm.

Question 4: We have the dimensions as,

Base= 2 m, Length = 3 m, Height = 1.5 m

So, the volume of prism = $\frac{base\times height}{2} \times length$

i.e. Volume = $\frac{2\times 1.5}{2} \times 3$

i.e. Volume = 4.5

Thus, volume of the sand needed to be filled is 4.5 m³.

7 0

4 years ago

Simplify the expression. (x9)0(x7)2

emmainna [20.7K]

The number that is raised to the exponent 0 is always equal to one (1). Thus,
(x9)^0 = 1

The exponent of the number that is further raised to another power is the product of the exponents.
(x7)^2 = x^14

Multiplying the two calculated values will give us an answer of x^14.

4 0

3 years ago