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3 years ago

Step by step explaination 2x + 4 < 8

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Answer:

X<2

Step-by-step explanation:

2x+4<8

subtract 4 from both sides

2x+4-4<8-4

simplify

2x<4

divide both by 2

2x/2<4/2

x<2

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Can someone help me with these questions ASAP!!

Igoryamba

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3 years ago

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Please please help me with this question please now and show your steps

sattari [20]

Answer:

$y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0$

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2 years ago

Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h

ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that: x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

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1 year ago

What is the scientific notation of 68000

Dmitry [639]

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3 years ago

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Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th

sesenic [268]

Answer:

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

$P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}$

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

$P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%$

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

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3 years ago