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NNADVOKAT [17]
3 years ago
14

55 girls, or 22% play basketball. How many girls attend school

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0
~5%, 11 girls play basketball.

Good luck!!!!!☺☺☺☺☺
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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o
harina [27]

Answer:

y=3e^{-4t}

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

\mathcal{L}[x]=L

s^2L-3s+5sL-3+4L=0

Solving for L

L(s^2+5s+4)=3s+3

L=\frac{3s+3}{s^2+5s+4}

L=\frac{3(s+1)}{(s+1)(s+4)}

L=\frac3{s+4}

Apply the inverse Laplace transform with this formula:

\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}

y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}

7 0
3 years ago
some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distribute
denis23 [38]

Answer:

61,239,550

Step-by-step explanation:

We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;

Pr( X>140)

The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314

From a population of 6,575,000,000 the number of geniuses would be;

6,575,000,000*0.009314 = 61,239,550

6 0
3 years ago
Read 2 more answers
When ringing up a customers cashier needs 25 seconds to process payment as well as 1 second to scan each item being purchased. H
Sergio [31]

Multiply the amount of seconds to ring up items by the amount of items.

1 × 17 = 17

Now add the amount of seconds to process a payment to the product.

17 + 25 = 42

<h2>Answer:</h2>

<u>It takes </u><u>42 seconds</u><u> to ring up a customer with 17 items.</u>

5 0
3 years ago
GIVING 30 POINTS
FromTheMoon [43]

Answer:

A. 502.4 cm^3

Step-by-step explanation:

r=8/2=4  cm

V=pi*r^2*h=3.14*16*10=502.4 cm^3     (A)

7 0
3 years ago
Read 2 more answers
Tennis balls with a diameter of 2.5 in.are sold in cans of three. The can is a cylinder. What is the volume of the space in the
Alexxandr [17]

Using 3.14 for PI.

The radius of a ball and the can is half the diameter = 1.25

The height of the can is the height of 3 diameters = 7.5

Volume of one tennis ball:

4/3 x PI x 1.25^3 = 8.18 cubic inches.

Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.

Volume of can:

PI x 1.25^2 x 7.5 = 36.80 cubic inches.

Space = 36.80 - 24.54 = 12.26 cubic inches.

3 0
3 years ago
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