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2 years ago

How many feet are in 30 yards?

1 answer:

3 0

Hi!

For every 1 yard, we have 3 feet. So, in order to find out how many feet are in 30 yards - we must multiply 3 by 30.

3 * 30 = 90.

This means there are 90 feet in 30 yards.

Hopefully, this helps! =)

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Work out the area of a parallelogram of base 6cm and height 8cm

trapecia [35]

The formula to find the area of a parallelogram is: A=bh (b standing for your base, and h for height) You substitute 6 and 8 into your formula and your answer is 48cm^{2}

7 0

2 years ago

Read 2 more answers

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0

2 years ago

Plz help I will mark you brainlist plz

amid [387]

Here is all the work and answers for these questions they are all correct i checked them all and ive done this assignmnet before

4 0

2 years ago

Luke paid $12.69 for 3 greeting cards. Each card cost the same amount,

n200080 [17]

3c = 12.69
where c = # of greeting cars

3 0

2 years ago

Read 2 more answers

How to round off to the neares<br> t degree

lyudmila [28]

Answer:

Step-by-step explanation:

How to round off to the nearest degree

lets pick this number: 3,266.528

first let round to the nearest whole number by thousand

lets remove the .528 because we don’t need it

3,266

4000-3266 is 734

3,266 minus 3000 is 266

so rounded to the nearest thousand in the whole number is 3,000

or let’s say hundredths

3266.528

0.3- 0.28 is 0.3

0.28 - 0.2 is 0.8

so rounded to the nearest hundredth is 3,266.53

hope this helps :)

7 0

2 years ago