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2 years ago

Which statement correctly describes order of operations (PEMDAS)?

Mathematics

2 answers:

Sloan [31]2 years ago

5 0

Answer:

✔ Multiplication always comes before division.

✔ Subtraction is always the last operation to use.

Step-by-step explanation:

"<u>PEMDAS means, Parenthesis ; Exponents; Multiplication; Division ; Addition ; Subtraction</u>."

Serjik [45]2 years ago

4 0

Answer:

Step-by-step explanation:

parentheses exponents multiplication division addition subtraction

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Q and r are independent events. if p(q) = 1/4 and p(r)=1/5, find p(q and r)

klasskru [66]

Answer:

(b) $\frac{7}{30}$

Step-by-step explanation:

When two p and q events are independent then, by definition:

P (p and q) = P (p) * P (q)

Then, if q and r are independent events then:

P(q and r) = P(q)*P(r) = 1/4*1/5

P(q and r) = 1/20

P(q and r) = 0.05

In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.

In the first ballot box there are 9 balls, 3 white and 6 yellow.

Then the probability of obtaining a white ball from the first ballot box is:

$P (W_{u_1}) = \frac{3}{9} = \frac{1}{3}$

In the second ballot box there are 10 balls, 7 white and 3 yellow.

Then the probability of obtaining a white ball from the second ballot box is:

$P (W_{u_2}) = \frac{7}{10}$

We want to know the probability of obtaining a white ball in both urns. This is: P( $W_{u_1}$ and $W_{u_2}$ )

As the events are independent:

P( $W_{u_1}$ and $W_{u_2}$ ) = P ( $W_{u_1}$ ) * P ( $W_{u_2}$ )

P( $W_{u_1}$ and $W_{u_2}$ ) = $\frac{1}{3}* \frac{7}{10}$

P( $W_{u_1}$ and $W_{u_2}$ ) = $\frac{7}{30}$

Finally the correct option is (b) $\frac{7}{30}$

3 0

2 years ago

Helppppppp I’m on a time crunch

amid [387]

Answer:

55M

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou

storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?

We have the following compound interest formula

$P' = P*(1+\dfrac{r}{n})^{nt}$

$P' = 35000*(1+\frac{0,04}{4})^{4*5}$

$P' = 35000*(1+0,01)^{20}$

$P' = 35000*(1,01)^{20}$

$P' = 35000*(1.22019003995...)$

$P' \approx 42,706.66$

So the new principal P' after 5 years is approximately $42,706.66.

Subtracting the original principal from this amount gives the amount of interest received:

$P' - P = I$

$42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark$

________________________

I Hope this helps, greetings ... Dexteright02! =)

4 0

2 years ago

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 3

Kryger [21]

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c which is the distance from C to D

5.830951895 = CD

5.83 = CD

5 0

3 years ago

BRAINLIESTT

Rudik [331]

9514 1404 393

Answer:

3 months

Step-by-step explanation:

We don't know what's on your list of "useful financial formulas." One that can be used here is the formula for simple interest:

I = Prt . . . . . interest on principal P at annual rate r for t years

Solving for t gives ...

t = I/(Pr)

Filling in the given values, we can find t to be ...

t = 138/(4800×0.115) = 138/552 = 1/4

1/4 year is 3 months -- the duration of the loan.

4 0

2 years ago