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valentinak56 [21]
3 years ago
13

Solve the inequality 8(x + 1) > 7(x + 2).

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

x > 6

Step-by-step explanation:

elixir [45]3 years ago
5 0
8X + 8 > 7x + 14

subtract 7x and 8 from both sides

x > 6
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Find the area of the circle. Round your answer to the nearest hundredth 3in
FrozenT [24]

Answer:

28.26 square inches

Step-by-step explanation:

Formula for area of a circle:

A=\pi r^2

Radius is 3.

A= \pi (3)^2\\A=\pi 9

Use 3.14 for pi:

A = 3.14 * 9 = 28.26\\A=28.26

The area should be 28.26 square inches.

4 0
3 years ago
Round 6,567 to the nearest hundred.
riadik2000 [5.3K]

Answer:

6,600

\sf Rounding~rules

  • 4 or below? Round down or keep the same.
  • 5 or above? Round up.
4 0
2 years ago
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.

so

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
a can of pinapple juice is a cylinder with a radius of 2.4 in. and a height of 11. what is the are odf the label around the can
pshichka [43]
A=2πrh+2πr²
A≈202.07
hopes that helps


8 0
3 years ago
Hello can someone help me with this?
zalisa [80]

Answer:

  1. 1
  2. 1/2
  3. 1/5
  4. 2
  5. 10
  6. 0
  7. -1
  8. -1/2
  9. -1/5
  10. -2
  11. -10

4 0
3 years ago
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