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3 years ago

Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.

Mathematics

1 answer:

Fynjy0 [20]3 years ago

6 0

Answer:

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

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At 4:00 am the outside temperature was 28*F. By 4:00 pm that same day it rose to 38 degrees.

BigorU [14]

The temperature is 66*F.

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3 years ago

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

3 years ago

Another one I need help in asap

Paha777 [63]

Answer:

Gold : total

35 : 103

Step-by-step explanation:

USA gold = 35

Total usa = 103

Gold : total

35 : 103

4 0

3 years ago

Find the measurement

xenn [34]

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$6z + 7 = 8z - 9$

$8z - 9 = 6z + 7$

Add sides 9

$8z - 9 + 9 = 6z + 7 + 9$

$8z = 6z + 16$

Subtract sides 6z

$- 6z + 8z = - 6z + 6z + 16$

$2z = 16$

Divide sides by 2

$\frac{2z}{2} = \frac{16}{2} \\$

$z = 8$

Thus ;

$NP = 8z - 9$

$NP = 8(8) - 9$

$NP = 64 - 9$

$NP = 64 - 4 - 5$

$NP = 60 - 5$

$NP = 55$

Done...

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3 years ago

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3 years ago