Ask question

Ask question

All categories

2 years ago

11

Cooper wrote checks on his checking account for $20 and $35. He also deposited $63 in the account. Which number describes the ch

ange in the balance of his account? A.$12 B.$8 C.$15

1 answer:

Licemer1 [7]2 years ago

5 0

Answer:

the change is b 8. 63-55=8 35+20=55

You might be interested in

If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball

Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}$

The air is at T=20°C, thus the speed of sound is:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}$

$v_{\mathrm {s} }=343.42\ m/s$

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

$\displaystyle v=\frac{d}{t}$

Where d is the distance and t is the time. Solving for t:

$\displaystyle t=\frac{d}{v}$

Substituting the values v=343.42 m/s and d=600 m:

$\displaystyle t=\frac{600}{343.42}$

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0

3 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

3 0

3 years ago

After Ken Dial had his "‘aha’ moment" (line 41), he

galina1969 [7]

The correct option is c. how the birds dealt with gradually steeper inclines.

After Ken Dial had his "‘aha’ moment" (line 41), he observed how the birds dealt with gradually steeper inclines.

<h3>Who was Ken Dial?</h3>

In 1988, Dr. Dial was appointed as a biology professor at the of Montana. Dial was the creator and deputy director of the University of Montana Flight Laboratory, as well as the director of the University of Montana Field Research Facility at Fort Missoula.

Some key features regarding Ken Dial are-

He taught graduate courses in East African evolutionary biology for three decades.
Ken, a pilot with over 35 years of experience, is certified to fly numerous types of jet aircraft but loves backcountry flying onto remote airfields as in Montana-Idaho wilderness.
Ken created and presented 26 episodes of "All Bird TV" on the Animal Planet channel of the Discovery Channel.
Dial is still a frequent keynote speaker at scientific & aeronautical conferences across the world.
He just left his full-time position as a professor at the University of Montana to devote more time to wildlife & land conservation initiatives in Tanzania, Kenya, southern California, and western Montana.

To know more about land conservation, here

brainly.com/question/9384173

#SPJ4

7 0

2 years ago

Simplify each expression.<br> 1) - 4x – 5(8 +4+)

Pepsi [2]

The answer is -4x-60

7 0

3 years ago

Find the percent of increase:<br> Year 2005 2010<br> Population 3.2<br><br> (millions) 5.6

hjlf

Answer:

the answer is x4sqaured=2

mark me brainliest

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers