All categories

3 years ago

A bag contains 4 white, 2 blue, and

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

Answer:

1/4; 1/12; 2/9

Step-by-step explanation:

4 white, 2 blue, 6 red marbles

Total number of marbles is:

4 + 2 + 6 = 12

Probabilities are:

P (red, red) = 6/12*6/12 = 1/2*1/2 = 1/4
P (red, blue) = 6/12*2/12 = 1/2*1/6 = 1/12
P (red or blue, white) = (6+2)/12 *4/12 = 8/12*1/3 = 2/3*1/3 = 2/9

7nadin3 [17]3 years ago

3 0

Answer:

1/2 for red

2/3

b+w=1/2

r+w=5/6

Step-by-step explanation:

You might be interested in

Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molina

Dennis_Churaev [7]

The package weighs 30 ounces.

Step-by-step explanation:

Mailbox Plus charges;

Charges per ounce = $0.25

Let,

x be the number of ounces.

M(x)=5+0.25x

United packges charges;

Charges per ounce = $0.35

U(x) = 2+0.35x

Cost will be same when the functions are equal;

M(x) = U(x)

$5+0.25x=2+0.35x\\5-2=0.35x-0.25x\\3=0.10x\\0.10x=3\\$

Dividing both sides by 0.10

$\frac{0.10x}{0.10}=\frac{3}{0.10}\\x=30$

The package weighs 30 ounces.

Keywords: functions, division

Learn more about division at:

#LearnwithBrainly

6 0

3 years ago

You host a party at your house at the end of it you have 0.5 of a liter of soda left how many millimeters do you have?

Aloiza [94]

We Know, 1 liter = 1000 milliliter
so, 0.5 liter would be = 1000 × 0.5 = 500 milliliter

In short, Your Answer would be 500 mL

Hope this helps!

4 0

3 years ago

Read 2 more answers

Question 4 (1 point)

lora16 [44]

Answer:

x=15

Step-by-step explanation:

3(2x+5)=3x+4x

6x+15=3x+4x. *multiplied parentheses by 3*

15=3x+4x+-6. *moves all x to one side*

15=× * added

x=15

6 0

4 years ago

14 bags of sugar hold 725.2 grams in all. If each bag holds the same amount how many kilograms of sugar does one bag hold

Andrews [41]

9514 1404 393

Answer:

0.0518 kg

Step-by-step explanation:

There are 1000 grams in a kilogram, so the given quantity is 0.7252 kg.

Divided 14 ways, each bag holds ...

(0.7252 kg)/(14 bags) = 0.0518 kg/bag

6 0

3 years ago

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

Democratic Republican Independent Total

First Term 11 28 11 50

Returning 33 26 11 70

Total 44 54 22 120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event A given that another event X has already occurred is given by:

$P(A|X)=\frac{P(A\cap X)}{P(X)}$

The probability of an event E is given by the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

$P(D\cap R)=\frac{33}{120}=0.275$

Compute the probability of selecting an US senator who was returning to office as follows:

$P(R)=\frac{70}{120}=0.5833$

Compute the conditional probability, P (D | R) as follows:

$P(D|R)=\frac{P(D\cap R)}{P(R)}$

$=\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715$

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0

4 years ago

Read 2 more answers