Subtract -5x²+10x-1from6x²-x+3

Expand the expression 2/5 (2d+3)

Jlenok [28]

Hello from MrBillDoesMath!

Answer:

(4/5)d + 6/5

Discussion:

2/5(3d+3) =

2(2d+3)/5 =

(4d + 6)/ 5 =

(4/5)d + 6/5

Thank you,

MrB

5 0

3 years ago

Write 6^8 • 6^7 as a single power

taurus [48]

<h3><u>Write 6^8 • 6^7 as a single power:</u></h3>

$6^8 \times 6^7 = 6^{15}$

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

Given that,

We have to write 6^8 • 6^7 as a single power

Given is:

$6^8 \times 6^7$

<em><u>Use the following law of exponent</u></em>

$a^m \times a^n = a^{m+n}$

When, the base is same, powers gets added

Therefore,

$6^8 \times 6^7 = 6^{8+7}\\\\6^8 \times 6^7 = 6^{15}$

Thus the given is written as a single power

3 0

3 years ago

Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

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

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0

2 years ago

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each sca

sp2606 [1]

Answer:

Elliot will make 4 hats and 16 scarves

Step-by-step explanation:

Let x be the number of hats and y be the number of scarves Elliot will make.

Elliott wants to make a total of 20 items, then

x + y = 20

Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then

0.1y = 2(0.2x)

Thus,

0.1y = 0.4x

y = 4x

Substitute it into the first equation:

x + 4x = 20

5x = 20

x = 4

y = 20 - 4

y = 16

Hence, Elliot will make 4 hats and 16 scarves

4 0

3 years ago

Evaluate for x=2 and y=3: x^2y^-3/x^-1y

Artemon [7]

Answer:

8/81

Step-by-step explanation:

It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.

The given expression reduces to x³ / y^4.

Substituting 2 for x and 3 for y, we get:

(2)³ 8

--------- = ---------- (Agrees with first given possible answer)

(3)^4 81

4 0

3 years ago