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3 years ago

For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. About

Mathematics

1 answer:

bazaltina [42]3 years ago

8 0

To cover 5 miles the wheel covers 3771.42 (approx) turns.

Step-by-step explanation:

Given,

In 20 times turns wheel covers 140 feet.

1 mile = 5280 feet

To find the number of times wheels turns to cover 5 miles.

We will apply unitary method.

Now,

5 miles = 5×5280 feet = 26400 feet

140 feet covers in 20 turns

1 feet covers $\frac{20}{140}$ turns

26400 feet covers in $\frac{20}{140}$ ×26400 turns

= 3771.42 (approx) turns

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Debora [2.8K]

Answer:

1) D

2) False

Step-by-step explanation:

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3 years ago

What is the length of a in this triangle?

gizmo_the_mogwai [7]

Use Pythagorean’s Theorem. a^2 + b^2=c^2.
a^2 + 35^2 = 37^2
a^2 + 1225 = 1369 then subtract 1225 from both sides.
a^2 = 144 then find the square root of both sides
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3 years ago

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the ne

Vesnalui [34]

Answer:

10.6 ft

Step-by-step explanation:

The complete question is:

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth.Base=x+4 Height=x

SOLUTION:

As you know, Area of triangle 'A' = 1/2 x b x h

Where,

Base 'b' = x+4

Area 'A' = 35 ft²

Height 'h'= x

35 = (1/2)(x+4)x

35 =(x² + 4x)/2

2 * 35 =x² + 4x

70 = x² + 4x

x² + 4x - 70=0

Formula for the quadratic equation is

x = [- b ± √(b² - 4ac)]/2a

Where,

a=1, b= 4, c=-70

Plugging in the values.

x = [- 4 ± √4² - (4 × 1 × - 70)] / (2 × 1 )

x = [- 4 ± √(16 + 280)]/2

x = [- 4 ± √296]/2

x = (- 4 + 17.2)/2 or x = (- 4 - 17.2)/2

x = 13.2/2 or x = - 21.2/2

As, we choose to ignore negative value of 'x'

Therefore, x = 13.2/2 = 6.6

And, Length of the base will be:

x + 4 = 6.6 + 4 => 10.6 ft

3 0

3 years ago

In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past dat

pishuonlain [190]

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

$p = 0.88*0.7 + 0.2*0.3 = 0.676$

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that $P(A) = 0.676$

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

$P(A \cap B) = 0.88*0.7 = 0.616$

Then

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112$

0.9112 = 91.12% probability that he/she attended classes on Fridays

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3 years ago

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bonufazy [111]

Answer:

6.5, 6.49

Step-by-step explanation:

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3 years ago