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loris [4]
3 years ago
15

Between which to whole numbers does the square root of 37 lie?

Mathematics
1 answer:
maksim [4K]3 years ago
4 0

Answer:

Between 6 and 7

Step-by-step explanation:

6² = 36

7² = 49

37 is greater than 36 and less than 49 so

the square root of 37 is in between 6 and 7

You might be interested in
Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
A pizza parlor charges $8 per pizza plus $0.65 per topping. Which equation can be used to find the cost of a pizza that costs $1
aksik [14]
It would be 3! Have a good DAY
3 0
2 years ago
N-9 = 13<br> ------------------
Vera_Pavlovna [14]

Answer:

n-9=13

n=22

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP NOW --- &gt;N is a 2-digit even number. If the last two digits of N^2 is the same as N, what is the sum of digits of
taurus [48]

Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

2^2=4,4^2=16,6^2=36,8^2=64

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

16^2=256

26^2=676

36^2=1296

46^2=2116

56^2=3136

66^2=4356

76^2=5776

86^2=7396

96^2=9216

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

6 0
3 years ago
Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

8 0
2 years ago
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