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2 years ago

7x + 2y=-12 Y=-3x-4

Mathematics

1 answer:

BabaBlast [244]2 years ago

5 0

Answer:

x=-4

Step-by-step explanation:

X would be -4 because if you distribute 2 to (-3x-4) it would give you (-6x-8) and then collecting like terms you would get (x-8=-12) then you would add 8 to -12 whih would equal -4.

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n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However,

timurjin [86]

The difference (faculty-student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions. Option D is correct.

<h3>What is the standard deviation?</h3>

It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.

The standard deviation of the sampling distribution is found as;

$\rm \sigma_F-\sigma_s= \sqrt{\frac{0.37 \times (1-0.37)}{28}+\frac{0.89 \times (1-0.89)}{100} } \\\\ \sigma_F-\sigma_s=0.096$

The difference in the sample proportions of those who think five minutes is not enough time for students to switch classrooms generally differs by roughly 0.096 from the actual difference in proportions.

Hence option D is correct.

To learn more about the standard deviation, refer to: brainly.com/question/16555520.

#SPJ1

6 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.

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

Can someone actually help me with this

Komok [63]

Answer: X = 30*

All circles = 360*

we can subtract 260 from that because we know the length of one so we know the other is 130.

We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50

6 0

3 years ago

Which angles are alternate interior angles

NNADVOKAT [17]

Step-by-step explanation:

the two alternate interior angles are Angle GHE and DEH

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2 years ago

Identify the similar triangles

Dafna1 [17]

Answer:

QTS=STQ=STR

Step-by-step explanation:

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3 years ago