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joja [24]
3 years ago
14

A toy basketball hoop for toddlers has a diameter of 10 cm. A regulation basketball hoop has a diameter of 46 cm. Determine the

scale factor for the diameter of the toddler size basketball hoop to the diameter of the regulation size basketball hoop. (round answer to two decimal places)
Mathematics
1 answer:
gavmur [86]3 years ago
5 0
The scale factor shows how many times smaller is the small ball than the regular one .

So the scale factor is = 10/46 = 0.217
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50 people were surveyed and asked to choose their favorite season.
AVprozaik [17]

The last statement is true based on the information in the table

5 0
3 years ago
Idk how to solve 0=4+n over 5
miv72 [106K]
<span> 0=4+n over 5
In number form the equation is
</span>0= \frac{4+n}5}

<span>We want to isolate n, so to undue division we multiply, we'll multiply each side by 5 Leaving the equation as
</span>0=20+n
<span>
Next we'll subtract 20 from each side to isolate n
The equation would now be
</span>-20=n
<span>
So the answer is N=-20

</span>
5 0
3 years ago
The probability that a single radar station will detect an enemy plane is 0.65.
taurus [48]

Answer:

a) We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

b) If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

Step-by-step explanation:

For each station, there are two two possible outcomes. Either they detected the enemy plane, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that:

The probability that a single radar station will detect an enemy plane is 0.65. This means that n = 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

This is the value of n for which P(X = 0) \leq 0.02.

n = 1.

P(X = 0) = C_{1,0}.(0.65)^{0}.(0.35)^{1} = 0.35

n = 2

P(X = 0) = C_{2,0}.(0.65)^{0}.(0.35)^{2} = 0.1225

n = 3

P(X = 0) = C_{3,0}.(0.65)^{0}.(0.35)^{3} = 0.0429

n = 4

P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015

We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?

The expected number of sucesses of a binomial variable is given by:

E(x) = np

So when n = 7

E(x) = 7*(0.65) = 4.55

If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

6 0
3 years ago
Pls help I just need the answer​
inn [45]
That’s mainey me too
8 0
2 years ago
There are 76,000 acres of state Parkland in Georgia this is 4000 acres more than three times the number of acres of state Parkla
pashok25 [27]

Answer:

There are 240,000 acres of the state parkland in Mississippi.

Step-by-step explanation:

Let a= Mississippi's parkland acres

You can use either Distributive Property, or The Order of Operations.

Distributive Property:

(76,000+4,000) 3= a

228,000+12,000= a

240,000= a

Order of Operations:

(76,000+4,000) 3= a

(80,000) 3= a

240,000= a

:)

7 0
3 years ago
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