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3 years ago

Find the area of a circle with diameter 14 in.

Mathematics

2 answers:

VashaNatasha [74]3 years ago

7 0

Answer: 153.86

Step-by-step explanation:

Area of circle = r^2*3.14

r=7

7^2*3.14= 153.86

trasher [3.6K]3 years ago

7 0

Answer:

153.86 squared inches

Step-by-step explanation:

Area of a circle = pi r^2

Given pi = 3.14

Diameter = 14inches

r = radius

r = diameter/2

= 14/2

= 7 inches

Therefore area = 3.14 x (7)^2

= 3.14 x 7 x 7

3.14 x 49

153.86 squared inches

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An e-book reader regularly sells for $220. It is on sale for 15% off

MaRussiya [10]

Answer:

Answer is $10,144.50

Step-by-step explanation:

15% of 220 =33

220- 33 = 187

8.5% of 187 =15.89

187+15.89=202.89

202.89 x 50 =10,144.50

3 0

3 years ago

Assume that 8% of people are left-handed. We select 6 people at random. a) How many lefties do you expect? b) With what sta

klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

The number of trials expected to find r sucesses is given by

$N = \frac{r}{p}$

In this problem we have that:

Assume that 8% of people are left-handed. We select 6 people at random.

This means that $p = 0.08, n = 6$

a) How many lefties do you expect?

$E(X) = np = 6*0.08 = 0.48$

b) With what standard deviation?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645$

c) If we keep picking people until we find a lefty, how long do you expect it will take?

Number of trials to find 1 success. So

$N = \frac{r}{p} = \frac{1}{0.08} = 12.5$

4 0

3 years ago

The formula v equals the square root of the quantity 64 multiplied by h end of quantity gives the velocity v in feet per second

NemiM [27]

The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.

When potential energy is completely converted to kinetic energy you have:

(mv^2)/2=mgh divide both sides by the mass m

v^2/2=gh multiply both sides by 2

v^2=2gh take the square root of both sides

v=√(2gh) and working with imperial units for acceleration due to gravity, g=-32ft/s^2

v=√(-64h) but the change of h as it falls is negative h so

v=-√(64h) so if an object falls from a height of 88ft we have:

v=-√(64*84)

v=-√5376

v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)

Note that this is the velocity, it is negative 73.32 ft/sec.

The question inadvertently asked for velocity and provided answers for SPEED. Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.

So its final speed is 73.32 ft/sec

So if they actually wanted velocity none of their answers is correct :P

5 0

3 years ago

Read 2 more answers

At a restaurant, when a customer buys 4 pretzels , the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12 soft p

lesya692 [45]

Answer: ($3.90)(12) - (2)($3.90) = 39.00

39.00/12 = 3.25 per pretzel

5 0

3 years ago

Rate of change and initial value for y=1/2+2

abruzzese [7]

Answer:

fate of change = 1/2, initial value = 2

Step-by-step explanation:

assuming the x is after the 1/2,

currently in slope intercept form, so we don't need to change anything (y=mx+b)

rate of change is 1/2, initial value = 2

5 0

2 years ago