When you multiply a function by -1, what is the effect on its graph?

Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent

aleksley [76]

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = $\frac{1}{2}$

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = $\frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas$

= $\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

7 0

3 years ago

An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are $E(1)= ^9C_2$ places in which the other 2 red balls can be placed.

A red ball drawn third, there are $E(3)= ^7C_2$ places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are $E(5)= ^5C_2$ places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are $E(7)= ^3C_2$ places in which the other 2 red balls can be placed.

The total number of total event is $S= ^{10}C_3$

The probability that A selects the first red ball is

$P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}$

$P(A \text{wins})=\frac{36+21+10+3}{120}$

$P(A \text{wins})=\frac{70}{120}$

$P(A \text{wins})=0.5833$

6 0

3 years ago

14

Step2247 [10]

Answer:

B

Step-by-step explanation:

She needed to subtract 36 from both sides of the equation, instead she added 36 to the right side.

4 0

3 years ago

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Use the quadratic model y = −4x2 − 3x + 4 to predict y if x equals 5.

REY [17]

Answer:

-111

Step-by-step explanation:

substitute 5 in place of each x

-4(5)^2 - 3(5) + 4

then evaluate or type it into your calculator

-100 - 15 + 4

7 0

3 years ago

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Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two

Leona [35]

The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

<h3>Probability</h3>

Given:

Beginner book=2

Intermediate book=6

Instructional piano books=11

Advanced books=3

Hence:

Probability=(2×3)÷(11×11)

Probability=6/121

Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Learn more about probability here: brainly.com/question/24756209

#SPJ2

7 0

2 years ago

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