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2 years ago

Two cars are traveling on the interstate. The blue car is traveling at 65 miles per hour.

Mathematics

1 answer:

timurjin [86]2 years ago

7 0

Answer:

2 1/2 hours

Step-by-step explanation:

use substitution method:

65x = 45x + 50

20x = 50

x = 5/2

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A 7 pound bag of dog food costs $21 What is the unit price of the dog food?

DiKsa [7]

I feel like it the answer is A

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3 years ago

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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

What is 7.2 times 10 to the 7th power times 14.6 x 10 to the 5th power?

Alexxx [7]

7 x $10^{7}$ times 14.6 x $10^{5}$

Multiply 7 and 14.6 and add exponents

Final Answer 102.2 and $10^{5}$

hope that helps :)

6 0

3 years ago

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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de

inna [77]

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let x₁ = 4

$Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65$

Let x₂ = 7

$Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85$

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

= P(Z≤0.85) - P(Z≤-0.65)

= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)

= A(0.85) + A(0.65)

= 0.3023 + 0.2422

= 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

6 0

3 years ago

Samuel wants to eat at least 15 grams of protein each day. Let x represent the amount of protein he should eat each day to meet

MrRissso [65]

Answer:

X is greater than or equal to 15

Step-by-step explanation:

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3 years ago