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svetoff [14.1K]
3 years ago
9

Use the quadratic formula to determine the exact solutions to the equation.

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

x= 2.28

or, x= 0.219

Step-by-step explanation:

2x²-5x+1 =0

a= 2, b= -5 and c= 1

x= (-b <u>+</u> √(b²-4ac))/2a

= (5 <u>+</u> √(25-8))/4

= (5 <u>+</u> √17)/4

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The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a
Kitty [74]

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

8 0
3 years ago
Jenna bought enough lattes for all her friends. Each latte was $3.50
alekssr [168]

Answer: 5 lattes

Step-by-step explanation: Our equation is 20 − 3.5x = 2.5, which means x = 5 lattes.

8 0
3 years ago
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ipn [44]
F(1) = -2

hope it helps

---------------------------------
4 0
4 years ago
I NEED HELP WHATS THE ANSWER!!
Nonamiya [84]

Answer:

A is the answer

Step-by-step explanation:

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Identify the word form of this number: 316,758
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Answer:

it is Three hundred and sixteen thousand,seven hundred and fifty eight.

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