Find the length of arc? A 7/3 B 3/7 C 35/360 D 35

Graph the function below: y = 32 +1

sveta [45]

Slope: 0 | Y intercept 0, 33

7 0

3 years ago

Give a counterexample for the statement: 'All square roots are irrational numbers'. Explain your reasoning.

galben [10]

A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9. This is because when simplified, the answer is 3.

For a number to be irrational, it can't be expressed in fractional form. However, 3 can be expressed in fractional form as 3/1.

5 0

3 years ago

A town has three roads that form an obtuse triangle. James wants to set up a refreshment stand so that the shortest distance fro

GarryVolchara [31]

He should set up the refreshment stand on the incenter of the obtuse triangle. The incenter of a triangle is described as the intersection between the angle bisectors of a triangle. The inradius are the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal. The inradius is depicted as the radius of an inscribed circle in the triangle. Therefore, the shortest equal distance from his stand to each road is C. on the incenter.

4 0

3 years ago

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm

GuDViN [60]

Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

$P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}$

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones).

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

$P(x \ \textless \ 3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \ 3) \approx 0.00951836732 }
$

Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.

5 0

3 years ago

Which measures are the sides lengths of a right triangle?

Pavlova-9 [17]

Answer:

b)

Step-by-step explanation:

a) 4+12>8

12+8>4

4+8=12

NO

b) 5+12>10

10+5>12

12+10>5

YES

c) 16+4>6

6+4<16

NO

d) 30+12>6

12+6<30

NO

5 0

3 years ago