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3 years ago

4) Dan opened a savings account with a $500

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

A - $0.60

Step-by-step explanation:

Compound gets 530.60

Simple gets 530.00

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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

3 years ago

Complete the sentence.

Alla [95]

Answer: two points

Step-by-step explanation:

6 0

3 years ago

3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third

den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

$2x + 3(x + 2) = 2(x + 4) + 55$

$= > 2x + 3x + 6 = 2x + 8 + 55$

Eliminating 2x from both the sides,

$= > 3x + 6 = 63$

$= > 3x = 63 - 6 = 57$

$= > x = \frac{57}{3} = 19$

So, the consecutive odd integers are = 19 , 21 & 23.

3 0

2 years ago

10. Only 40% of the Raptor Club's members returned the club's hawk survey. The club has 65 members. How many took part in the su

matrenka [14]

40% of 65
0.40(65) = 26 returned the survey. (assuming that everybody who took the survey returned it.)

3 0

3 years ago

HELP!!! I will give brainliest, 25 points!!

kirza4 [7]

Cards = x

Bouquets = y

They spend 2 on each card so 2x and 3.50 for each bouquet so 3.50y add those together to get the total they can spend 2x + 3.50y = 360

Then add the sales together: 6x + 8y = 900

Answer: D. 2x + 3.50y = 360; 6x + 8y = 900

6 0

3 years ago