The radius of a circle is 5 feet. What is the circumference?

A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the

Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0

3 years ago

Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.

vesna_86 [32]

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. $\left(-\frac{13}{4}, \frac{5}{2}\right)$ .

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. $\left(-\frac{13}{4}, \frac{5}{2}\right)$

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0

2 years ago

Find the number that is 42 less than twice the<br> opposite of itself.

maria [59]

42 - -84=-42

Hope this helps :)

8 0

3 years ago

Cynthia was paid 20 cents pr board for painting the fence. If she was paid $10 for painting half the boards, how many boards wer

yawa3891 [41]

Answer:

100 boards

Step-by-step explanation:

Step one:

Given data

We are told that Cynthia was paid 20 cents per board for painting the fence

that is for 1 board painted she gets $0.2

If she was paid $10

let us find the number of boards she painted for $10

= 10/0.2

=50 boards

This means that the total boards were 50*2= 100 boards

3 0

3 years ago

Help math math math ASAP

STALIN [3.7K]

<h3><u>Solution</u>:-</h3>

The equation of any straight line can be written as in slope intercept form as -

$\green{ \underline { \boxed{ \sf{y=mx+c}}}}$

where,

m is its slope
c is its y-intercept.

<em><u>Given equation:- </u></em>

$\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered}$

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>

$\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf y = -5x +10\\\end{gathered}$

$\leadsto$ Comparing the equation y = -5x +10 with the standard form of the equation, we get -

$\quad \bull\: \sf m= -5$

$\quad \bull \: \sf c= 10$

Thus , 5 is our required answer.

4 0

2 years ago

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