2605 rounded to the nearest hundred

A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the sec

andrezito [222]

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that $P(A) = 0.67$

The probability she passes the second course is 0.7.

This means that $P(B) = 0.7$

The probability she passes at least one of the courses is 0.79.

This means that $P(A \cup B) = 0.79$

a. What is the probability she passes both courses

This is $P(A \cap B)$ .

We use the following relation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

So

$P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58$

0.58 = 58% probability she passes both courses

5 0

2 years ago

Help please.

Veseljchak [2.6K]

1) multiply price per pound by number of pounds.

1.73/lb * 2.6 pounds= $4.498= $4.50

ANSWER: C) $4.50

2) set up a proportion. 494 is what % out of 520 as x is what out of 100.

$494/$520= x/100
cross multiply
(494*100)= (520*x)
49400= 520x
divide both sides by 520
95%= x

ANSWER: D) 95%

Hope this helps! :)

5 0

2 years ago

Find the total surface area of the following cone. Leave your answer in terms of pi.

kramer

Answer:

90π cm²

Step-by-step explanation:

Given: Radius of circular base= 5 cm

height= 12 cm

Now finding the surface of cone.

Formula; Surface area of cone= $\pi rl+ B$

Where; r= radius

l= slant height

B is the area of base, which is circle.

Area of circle (B)= πr²

Area of circle (B)= $\pi \times 5^{2} = 25\pi$

∴ Area of circle (B)= $25\pi$

Finding slant height (l)

Formula; $l= \sqrt{r^{2}+h^{2} }$

⇒l = $\sqrt{5^{2}+12^{2} } = \sqrt{25+144 }$

∴ l= $\sqrt{169} = 13\ cm$

Next, using the formula for finding surface area of cone.

Surface area of cone= $5\times 13\times \pi + 25\pi$

⇒ Surface area of cone= $65\pi +25\pi = 90\pi$

∴ Surface area of cone= 90π cm²

6 0

2 years ago

PLEASE Help! ASAP PLZ

ira [324]

Answer:

0.57 yr

Step-by-step explanation:

To find the doubling time with continuous compounding, we should look at the formula:

$FV = PVe^{rt}$

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

$\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}$

1. David's doubling time

$\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.06125}\\\\& = & \textbf{11.317 yr}\\\end{array}$

2. Violet's doubling time

The formula for interest compounded periodically is

$FV = PV\left (1 + \dfrac{r}{n} \right )^{nt}$

where

n = the number of payments per year

$\begin{array}{rcl}9600 & = & 4800\left (1 + \dfrac{0.065}{4} \right )^{4t}\\\\2 &= & (1 + 0.01625 )^{4t}\\& = & 1.01625^{4t}\\\ln 2& = & 4 (\ln 1.01625)\times t \\& = & 0.064478t\\t& = & \dfrac{\ln 2}{0.064478}\\\\& = & \textbf{10.750 yr}\\\end{array}$

3. David's doubling time vs Violet's

11.317 - 10.750 = 0.57 yr

It would take 0.57 yr longer for David's money to double than Violet's.

8 0

2 years ago

If a ribbon is 40 centimeters long and the other is 70 centimeters long and wants it to be the same length with no ribbon left o

Stella [2.4K]

Answer:

11 pieces

Step-by-step explanation:

The greatest common divisor of 40 and 70 is 10. If each ribbon is cut into 10 cm pieces, there will be 4 pieces from the first ribbon, and 7 pieces from the second ribbon. The total number of pieces will be ...

4 + 7 = 11 pieces

5 0

3 years ago