Please help. this is due in 10 min (image)

HELP ME PLEASE!

shusha [124]

Answer:

Part A) The probability is closer to 0, because is less than 50%

Part B) The probability is closer to 1, because is greater than 50%

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

$P=\frac{x}{y}$

Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?

In this problem we have

x------> is the area of the black circle

y------> is the total area of the square target

<em>Find the area of black circle</em>

$r=3/2=1.5\ units$

$x=(3.14)(1.5)^{2} =7.065\ units^{2}$

<em>Find the total area of the square target</em>

$y=9^{2}=81\ units^{2}$

Find the probability

$P=\frac{7.065}{81}=0.0872$

Convert to percentage

$0.0872*100=8.72\%$

The probability is closer to 0, because is less than 50%

Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?

In this problem we have

x------> is the area of the white portion of the target

y------> is the total area of the square target

<em>Find the area of the white portion</em>

The area is equal to the area of the square minus the area of the circle

$x=81-7.065=73.935\ units^{2}$

Find the probability

$P=\frac{73.935}{81}=0.9128$

Convert to percentage

$0.9128*100=91.28\%$

The probability is closer to 1, because is greater than 50%

4 0

3 years ago

What is the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5%?

erica [24]

Answer:

Principal = 3500

Time = 8 years

We are given that compound quarterly

So, No. of compounds per year = 2

Rate of interest = 5%

Formula : $A=P(1+\frac{r}{n})^{nt}$

Substitute the values :

$A=3500(1+\frac{0.05}{2})^{2 \times 2}$

$A=3863.345$

Interest = 3863.345 - 3500 = 363.345

Hence the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5% is $3863.345 and the interest that was made on that account mentioned is $363.345

8 0

4 years ago

Find 5 rational numbers between -3/4 and 5/6

insens350 [35]

Answer:

1/2, 1/3, 1/4, 1/5, 1/6

Step-by-step explanation:

6 0

3 years ago

I need to solve for x using the pythagorean theorem some how (I think) please only answer if you can give a hint or the answer w

borishaifa [10]

$\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{\stackrel{3959+5.9}{3964.9}}\\ a=\stackrel{adjacent}{3959}\\ b=\stackrel{opposite}{x}\\ \end{cases} \\\\\\ \sqrt{3964.9^2-3959^2}=x\implies \sqrt{46751.01}=x\implies 216.22\approx x$

4 0

3 years ago

Read 2 more answers

Write the following expression using the fewest possible terms.<br><br> (−2x − 13) + (19 + 5x)

MakcuM [25]

The rewritten form of the given expression using the fewest terms is; 3x + 6.

<h3>What is the rewritten form of.the expression using the least possible terms?</h3>

It follows from the task content that the given expression is to be rewritten using the fewest terms.

Since the given expression is;

( −2x − 13 ) + ( 19 + 5x )

By getting rid of the parentheses; we have;

-2x - 13 + 19 + 5x

By collecting like terms; we have;

-2x + 5x - 13 + 19

3x + 6

Therefore, the required rewritten form of the given expression is; 3x + 6.

Read more on rewritten form of expressions;

brainly.com/question/28757930

#SPJ1

8 0

1 year ago