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2 years ago

A bag has 2 red marbles, 1 blue marble and 4 gold marbles. What is the probability of drawing two gold marbles, if the first mar

ble is replaced after it is drawn?
A) 2/7
B)16/49
C)4/7
D)7/13

Mathematics

1 answer:

Svet_ta [14]2 years ago

3 0

$|\Omega|=7^2=49\\ |A|=4^2=16\\\\ P(A)=\dfrac{16}{49}\Rightarrow \text{B}$

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Example 2: Solve the system algebraically. Then check your answer graphically.

Harlamova29_29 [7]

Answer: (-2, 1), (-4, -3)

Step-by-step explanation:

y = x² + 8x + 13

y = 2x+5

x² + 8x + 13 = 2x+5

x² + 6x + 13 = 5

x² + 6x + 8 = 0

x² + 2x + 4x + 8 = 0

(x+2)(x+4)=0

x=-2 or x=-4

y=2(-2)+5

y=-4+5

y=1

y=2(-4)+5

y=-8+5

y=-3

6 0

1 year ago

What is 3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4)) written as a sing

Serhud [2]

Answer:

$\log_{2} [\frac{x^{3}(x + 4)}{3}]$

Step-by-step explanation:

We have to write the following logarithmic expression as a single logarithm.

The given expression is

$3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]$

= $3\log_{2} x - \log_{2} (\frac{3}{x + 4})$

{Since, $\log A - \log B = \log \frac{A}{B}$ , from the properties of logarithmic function }

= $\log_{2} x^{3} - \log_{2} (\frac{3}{x + 4})$

{Since, $a\log b = \log b^{a}$ , which also a logarithmic property}

= $\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]$

= $\log_{2} [\frac{x^{3}(x + 4)}{3}]$ (Answer)

3 0

2 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

finlep [7]

Answer:

The speed of a car is x miles per hour.

The total distance the car travels in

30 minutes is y. ....>>> y = 0.5x

The cost to produce a table, y, is two

times the cost to produce a chair, x. ..> y = 2x

The time required to bake a chocolate

muffin, y, is 2 minutes more than the

time required to bake a vanilla muffin, x.....>> y = x + 2

Tina’s age, y, is 5 years more than

her brother Tim’s age, x. .......>> y = x + 5

Step-by-step explanation: The only really tricky one is the "speed of the car ..." because the speed is given in miles per hour and the time is given in minutes so that is 0.5 hour times time

Otherwise, "times" means multiplication and "more than" means addition.

8 0

2 years ago

If there are about 1 2/5 kilometers in 1 mile,about how many kilometers are in 4 miles?

-BARSIC- [3]

This problem is an example of ratio and proportion. A ratio is a comparison between two different things. You are given the equivalent distance of a 1 2/5 kilometers to 1 mile. Also you are given 4 miles. You are required to find the distance in kilometers of 4 miles. The solution of this problem is,

1 2/5 kilometers /1 mile = distance/ 4 miles
distance = (4 miles) (1 2/5 kilometers /1 mile)
distance = 28/5 or 5.6 kilometers
There are 5.6 kilometers in 4 miles.

7 0

2 years ago

Can anyone answer please I don't know what to do.

ZanzabumX [31]

Answer: 2 7/10

Step-by-step explanation:

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2 years ago