All categories

3 years ago

Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's

Mathematics

2 answers:

anyanavicka [17]3 years ago

5 0

Answer:

24x^2

Step-by-step explanation:

When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16

The only term that matches with these is 24x^2

Vaselesa [24]3 years ago

5 0

Answer:

24x^2

Step-by-step explanation:

You might be interested in

In making a keychain,Sara uses a pattern of beads 3 times. After the key chain is complete, what fraction of the beads in the ke

nikdorinn [45]

1/2 of the beads will be blue, and 1/2 of them would be red Hope this helped!

3 0

3 years ago

Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1

notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = $\frac{1}{2} \cdot 36 = 18$ baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = $\frac{1}{4} \cdot 36 = 9$ baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = $\frac{1}{12} \cdot 36 = 3$ baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

8 0

3 years ago

Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6

san4es73 [151]

Answer: the answer should be 99.5

3 0

3 years ago

Find equations for those tangent lines to<br> the graph of<br> y = x − 3/x

pychu [463]

Step-by-step explanation:

y=X -3/X

y=X/1 -3/x

y= 2x -3/x

y*X= 2x-3

y*X/2 = x-3

7 0

2 years ago

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t

Angelina_Jolie [31]

Answer:

$P(X = 0) = 0.027$

$P(X = 1) = 0.189$

$P(X = 2) = 0.441$

$P(X = 3)= 0.343$

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each $x \leq n$ , the probability mass function is given by:

$P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}$

In which p is the probability that the event happens.

$pe_{n,x},$ is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

$pe_{n,x} = \frac{n!}{x!}$

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so $n = 3$

The probability that a wafer pass a test is 0.7, so $p = 0.7$

Determine the probability mass function of the number of wafers from a lot that pass the test.

$P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027$

$P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189$

$P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441$

$P(X = 3) = (0.7)^{3} = 0.343$

5 0

3 years ago