A car uses 30 gallons of gasoline for a trip of 800 miles. How many gallons would

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

Answer:

26.25 gallons

Step-by-step explanation:

$\frac{30 gallons}{800 miles} = \frac{x}{700 miles}$

21000 = 800x

x = 26.25 gallons

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The perimeter of a rectangle is 20 centimeters. Its length is 6 centimeters. What is its width?

sertanlavr [38]

Answer:

4 centimeters

Step-by-step explanation:

6+6=12

20-12=8

8/2=4

6 0

3 years ago

LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def

Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

$f(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

$f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782$