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3 years ago

Use the Binomial Theorem to expand (x + 1)^6

Mathematics

2 answers:

suter [353]3 years ago

6 0

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

Troyanec [42]3 years ago

5 0

Answer:

$x^{2}$ + 6 $x^{5}$ + 15 $x^{4}$ + 6 $x$ + 1

I think

hope this helps

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Which expression can be used to approximate the expression below,for all positive number a,b and x where a =/ 1 and b=/ 1

rodikova [14]

Answer:

The correct option is 1.

Step-by-step explanation:

The given expression is

$log_ax$

The value of a is 1 and the value of b is 1.

According to the logarithm property,

$log_mn=\frac{log_pm}{log_pn}$

Using this property, we get

$log_ax=\frac{log_bx}{log_ba}$

The required expression is $\frac{log_bx}{log_ba}$ .

$log_1x=\frac{log_1x}{log_11}$

$log_1x=log_1x$ $[\because log_aa=1]$

Left hand side is equal to the right hand sides, therefore option 1 is correct.

4 0

3 years ago

A probability that is computed with the knowledge of additional information is

lianna [129]

Answer: called conditional probability

6 0

3 years ago

Read 2 more answers

Paco uses a spinner to select a number from 1 through 5, each with equal probability. Manu uses a different spinner to select a

lions [1.4K]

There are 5 x 10 = 50 different outcomes.

Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.

Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.

The probalility, then, is 41/50 = 0.82

7 0

4 years ago

Read 2 more answers

The lengths of pregnancies are normally distributed with a mean of 269269 days and a standard deviation of 1515 days. a. Find th

kati45 [8]

Answer:

a. 0.38%

b. 266.75 days

Step-by-step explanation:

We have the following data, mean (m) 269 and standard deviation (sd) 15, therefore:

a. The first thing is to calculate the number z:

z (x) = (x - m) / sd

z (309) = (309-269) / 15 = 2.67

When looking in the normal distribution table (attached), we have that at this value of z, the probability is:

P (z> 2.67), that is to say we must look in the table -2.67 and this value corresponds to 0.0038, that is to say 0.38%

b. Find the z-value with a left tail of 44%, i.e. 0.44. We look in the table for this value and what value of z corresponds.

invNorm (0.44) = -0.15

Find the corresponding number of days:

x = z * sd + m

we replace

d = -0.15 * 15 + 269 = 266.75 days

7 0

3 years ago

How do you solve a proof?

ziro4ka [17]

To solve a proof, you need to distinguish which is the hypothesis and which is the conclusion. The hypothesis is the starting point and the conclusion is the ending point. We go from hypothesis to conclusion. A conditional statement can be written as If A, then B. Where A is the hypothesis and B is the conclusion.

For example, take this theorem.

If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
</span>
We go from Two sides of a triangle are congruent to the angles opposite those sides are congruent.

The first statement's reason is pretty much always Given.

Statement | Reason
1. Two sides of a triangle are congruent 1. Given
.... After a bunch of steps
3. the angles opposite those sides are congruent. 3. Your postulate of definition of what reason you need to complete the last step.

Sorry if this is a little confusing.

6 0

3 years ago