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Katena32 [7]
3 years ago
6

A bag has five red marbles, six blue marbles, and four black marbles. What is the probability of picking a blue marble, replacin

g it, and then picking another blue marble?
a)1/15
b)8/75
c)4/25
d)1/9
Mathematics
2 answers:
love history [14]3 years ago
7 0
5 red, 6 blue, 4 black...total of 15

P(picking blue) = 6/15 ...reduces to 2/5
replacing
P(picking blue) = 6/16...reduces to 2/5

P(both) : 2/5 * 2/5 = 4/25 <==


Anit [1.1K]3 years ago
3 0

Answer:

4/15 is 100% the answer *NOT* 1/9 or anything else!

Step-by-step explanation:

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WILL GIVE BRAINLIEST|<br><br><br> Beginning in 2011, Yemen was drawn into a civil war because of:
Lady bird [3.3K]

Answer:

Yemen was a poor country with a government widely acknowledged to be corrupt, with a large amount of weapons in private hands. By 2011, the country was already facing challenges from al Qaeda-linked militants and separatists in the south and Zaydi Shia rebels in the north.

8 0
2 years ago
Write and algebraic expression for nine times of the square of a number
salantis [7]

Answer:

9• x2

Step-by-step explanation:

Well you have 9 and then you times(•) then X is the number we don’t know. Then x would be squared(like the image below).

3 0
4 years ago
Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the num
shepuryov [24]

<em><u>Question:</u></em>

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

A) Brian and Damien both answered 2 fewer questions correctly than Chris did.

B) Brian and Damien both answered 4 more questions correctly than Chris did.

C) Brian and Damien both answered 2 more questions correctly than Chris did.

D) Brian and Damien both answered 4 fewer questions correctly than Chris did.

<em><u>Answer:</u></em>

Option C

Brian and Damien both answered 2 more questions correctly than Chris did

<em><u>Solution:</u></em>

Let "x" be the number of correct answers of Brian

Let "y" be the number of correct answers of Chris

Let "z" be the number of correct answers of Damien

<em><u>The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right</u></em>

x = 14 + \frac{1}{4}y\\ ---------- eqn 1

<em><u>Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly</u></em>

z = \frac{5}{4}y - 2 ---------- eqn 2

<em><u>Brian and Damien have the same score</u></em>

x = z -------- eqn 3

Therefore,

14 + \frac{1}{4}y = \frac{5}{4}y - 2\\\\\frac{5}{4}y - \frac{1}{4}y = 14+2\\\\y = 16

<em><u>Substitute y = 16 in eqn 1</u></em>

x = 14 + \frac{16}{4}\\\\x = 14 + 4\\\\x = 18

Therefore, by eqn 3,

z = 18

Thus we get,

Number of correct answers of Brian = 18

Number of correct answers of chris = 16

Number of correct answers of Damien = 18

Therefore, correct statement is:

Brian and Damien both answered 2 more questions correctly than Chris did

5 0
3 years ago
You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your
Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b) the  foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t)  should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin  (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin  (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin  (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b)

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

             = 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the  foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

4 0
4 years ago
Read 2 more answers
Assume that the probability of having sickle cell anemia is 0.15 and the probability of being African-American is 0.45 in a give
irina1246 [14]

Answer:

the probability of having sickle cell anemia given that you are African-American is  P( B|A) =0.288

Step-by-step explanation:

Using Bayes's theorem

P( B|A) = P( A∩B)/P(A)

where P( B|A) = probability of the event B knowing that A happened , P( A∩B) = probability that A and B happen (joint probability of A and B) , P(A) = probability of event A

if B= probability of having sickle cell anemia and A= probability of being African-American

then

P( A∩B) = 0.13

P(A) = 0.45

then

P( B|A) = P( A∩B)/P(A)  = 0.13/0.45 = 0.288

P( B|A) =0.288

5 0
4 years ago
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