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3 years ago

How do you solve this equation? 8 - 3 (2m-5)

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

8 + -3 * 2m + (-3)(-5) = 8 + -6m + 15 = 8 + -6m + 15 = (-6m) + (8 + 15 ) = -6m + 23

so the answer is -6m + 23

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We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point

Vlad1618 [11]

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥ $\frac{100-80}{\sqrt{76.8} }$ )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

3 0

3 years ago

Factor the expression.HELP ASAP Plz 20 PIONTS 20k + 50

Ymorist [56]

Answer:

we are given with two terms: 20 k and 50. In this case, we are asked in the problem to factor the two terms forming the expression. The common factor of 20k and 50 is 10 because the two terms are divisible by it. The answer hence is 10*(2k +5)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help pleaseeeeeeeeeeee

Amiraneli [1.4K]

$volume = \pi \times {r}^{2} \times h \\ volume = 3.142 \times (10 \div 2)^{2} \times 18 \\ volume \: = 3.142 \times 25 \times 18 \\ volume = 1413.9{cm}^{3}$

$price = \frac{1413.9 \times 0.02}{10} = 2.8278 = 2.83 \: dollars$

7 0

3 years ago

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Which represents the empirical formula for A3B9? AB3 AB2 A3B9 A9B27

DaniilM [7]

Answer:

$AB_{3}$

Step-by-step explanation:

Given : $A_{3}B_{9}$

To Find : Which represents the empirical formula for $A_{3}B_{9}$ ?

Solution:

Definition of Empirical Formula - A formula that gives the simplest whole-number ratio of atoms in a compound.

$A_{3}B_{9}$

To reduce it in simplest form

Divide the subscript numbers by 3

So, the resultant : $AB_{3}$

Thus the empirical formula for $A_{3}B_{9}$ :

$AB_{3}$

5 0

3 years ago

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Please help! thanks so much

Stels [109]

Answer:

See below.

Step-by-step explanation:

First, we can see that $\lim_{x \to 2} (f(x))= -1$ .

Thus, for the question, we can just plug -1 in:

$\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1} =und.$

Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, $f(x)$ will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

$\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1} = +\infty$

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

4 0

3 years ago