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2 years ago

6th grade math

Mathematics

2 answers:

cricket20 [7]2 years ago

8 0

Answer:

She will replace both at the same time in 18 months

Step-by-step explanation:

The first thing you have to do to find when she will change them at the same time, is to try with multiples of both, untill they match.

Hall Closet = every 9 months

Air Filter = every 6 months

1) 9-18-27-36-45

2)6-12-18

We find that in the 18th month he will change both of them.

zubka84 [21]2 years ago

5 0

They will both be replaced the 18th month.

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The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th

Usimov [2.4K]

Answer:

a) $f(x) = \frac{1}{25.9}$

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b-a}$

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that $a = 284.7, b = 310.6$ .

a. Give a mathematical expression for the probability density function of driving distance.

$f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}$

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

$P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046$

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0

2 years ago

What ordered pair is a solution to y = x + 5 and x - 5y = -9?<br> I also need to show the work.

Margarita [4]

Answer:

(- 4, 1 )

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5(x + 5) = - 9 ← distribute and simplify left side

x - 5x - 25 = - 9

- 4x - 25 = - 9 ( add 25 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 4 + 5 = 1

Solution is (- 4, 1 )

3 0

2 years ago

Last month, Lana sold 35 necklaces a week at $15 each. However, throughout the month, 6 customers returned their necklaces for a

hoa [83]

35x15=525$
6x15=90

525-90=435$

she mad 435$

6 0

3 years ago

Read 2 more answers

Can someone explain this and help me with the answer?

GenaCL600 [577]

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

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3 years ago

Olive walks at a rate of 4 miles per hour.She lives 2 miles from the news station.How long will it take her to walk home from th

eimsori [14]

It would take Olive 30 minutes to walk home from the news station.

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3 years ago