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Fantom [35]
3 years ago
9

(1 point)

Mathematics
2 answers:
inn [45]3 years ago
5 0
22 ft below sea level
sergeinik [125]3 years ago
3 0

Answer:

22 feet below sea level

Step-by-step explanation:

she kept going down, basically in a negative way. adding to the already below sea level

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The temperature at 7 a.m. was -11°C. The temperature increased by 9°C during the
LiRa [457]
The answer is -6 degrees Celsius
6 0
3 years ago
Give a direct proof that the sum an even integer and an odd integer is odd.
mina [271]
Even integer: 2 x a, where a is a  natural number without 0;
Odd integer : 2 x b + 1 , where b is a natural number;
So, 2 x a + 2 x b+ 1 = 2 x ( a + b ) + 1, which is an odd integer.
5 0
3 years ago
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
Which graph represents <br> y= -2x?
Kamila [148]
It would be the second graph since the coefficient is negative
5 0
3 years ago
Read 2 more answers
Help me please fast fast fast
vova2212 [387]

4

You can just put this into a calculator:

1/2^2 = 0.25

3×5-3 = 12

1^3 = 1

0.25 × 12 + 1 = 4

4 0
2 years ago
Read 2 more answers
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