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Marina CMI [18]
3 years ago
10

The kinetic energy (in joules ) of a moving object can be calculated from the expression 1/2mv to the second power, where m is t

he mass of the object in kilograms and v is it’s speed in meters per second. Find the kinetic energy of a 0.145-kg baseball that is thrown at a speed of 40 meters per second. E = ______ joules

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

E = 1/2 m v^2

E = 1/2 (0.145) (40)^2

E = 0.0725 x 1600

E = 116 kg m^2/s^2

1 joule = 1 kg m^2/s^2

so here E in joules is 116 joules

so E = 116 joules

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In standerd form what is the answer to y=6x-1 looking for x
horrorfan [7]

Answer:

x=1/6 or 1.16 (6 repeating) or x=6^-1

Step-by-step explanation:

y=6x-1

substitute y =0

0=6x-1

Move the variable to the left

-6x =-1

Divide on both dies

3 0
3 years ago
In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
Temperature fell on one night in London to 12 degrees centigrade. On same night in Moscow temperature fell to -5degrees centigra
galina1969 [7]

Answer:

17(maybe)

Step-by-step explanation:

12-(-5)=17

8 0
3 years ago
Which expression is equivalent to 162x^4-144x^2+32?
uysha [10]
I didn't really get the which part because we shape it to serveral factors, this is one of them

6 0
3 years ago
Find the missing length
Oksi-84 [34.3K]

Answer:

Last one

Step-by-step explanation:

8 0
3 years ago
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