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4 years ago

A point is randomly chosen in the diagram shown below.

Mathematics

2 answers:

Anni [7]4 years ago

8 0

Answer:

The likelihood that a point chosen inside the square will also be inside the circle: 78.54%

Step-by-step explanation:

Let x is the side of the suqare

=> the area of the square is: $x^{2}$

Let d is the diameter of the circle

=> the area of the circle : $\frac{1}{4} d^{2}$ π

However, d=x because of the square property

<=> the area of the circle : $\frac{1}{4} x^{2}$ π

The likelihood that a point chosen inside the square will also be inside the circle:

the area of the circle / the area of the square

= $\frac{1}{4} x^{2}$ π / $x^{2}$

= $\frac{1}{4}$ π *100%

= 0.7854 * 100%

= 78.54%

balandron [24]4 years ago

8 0

Answer:

the answer is likely :)

Step-by-step explanation:

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According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the

Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

$P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})$

[∵ $z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$ ]

$=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885$ [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0

3 years ago

Ax+by=c solve for y plz help hurryyyyy

Leviafan [203]

I believe that the answer for y is...

y= -ax+c/b

5 0

3 years ago

Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.

KengaRu [80]

Answer:

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

f(b) - f(a)

ave. val. = ---------------

b - a

which in this particular case is

19 - 30

ave. val. = ----------------- = -11/11 = 1

6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

4 0

3 years ago

The lesser of two consecutive even integers is 10 more than one-half the greater.

sleet_krkn [62]

Even integers are in form 2n where n is a whole number
consecutive even integers are 2 apart
2n and 2n+2
2n is 10 more than 1/2 of (2n+2)
2n=10+1/2(2n+2)
2n=10+n+1
2n=11+n
minus n both sides
n=11

2n=22
2n+2=24

the numbers are 22 and 24

8 0

3 years ago

A dentist polls his patients and finds that 83 percent brush their teeth at least twice a day, 47 percent floss daily, and 19 pe

puteri [66]

Answer:

The correct option is B. 23%

Step-by-step explanation:

Let the event that patient brushes his teeth at least twice a day is denoted by A

So, P(A) = 0.83

Let the event that patient flosses daily is denoted by B

So, P(B) = 0.47

Now, it is given that 19 percent patients brush at least twice a day and floss daily.

⇒ P(A and B) = 0.19

Now, we need to find conditional probability of occurring event B given A has occurred.

$\implies P(B|A) =\frac{P(A\: and\: B)}{P(A)}\\\\\implies P(B|A) = \frac{0.19}{0.83}\\\\\implies P(B|A) = 0.2289\approx 0.23$

Hence, Nearest required percentage = 23%

Therefore, The correct option is B. 23%

4 0

3 years ago

Read 2 more answers