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Natali5045456 [20]
2 years ago
13

Mrs. gomes found that 40% of students at her high school take chemistry. she randomly surveys 12 students. what is the probabili

ty that exactly 4 students have taken chemistry? round the answer to the nearest thousandth. p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction
Mathematics
1 answer:
andrew-mc [135]2 years ago
5 0

Answer:

0.213

Step-by-step explanation:

→ Convert into binomial information

x ~ B ( 12 , 0.4 )

→ Write down probability required

p ( x = 4 )

→ Evaluate

0.2128

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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\rm A = P(1+\dfrac{r}{n})^{nt}

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\rm A = P(1+\dfrac{r}{n})^{nt}

\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

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2 years ago
What is the distance between the points R(5, 7) and S(-2, 3)?​
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Answer:

Step-by-step explanation:

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5 0
3 years ago
-3x+4y=12 and 1/4x - 1/3y =1
zavuch27 [327]

Answer:

Step-by-step explanation:

-3x + 4y = 12

12(1/4x - 1/3y = 1)

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Answer:

I think they should be expected to pay about 14.85 I don't know if this is correct

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2 years ago
A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour
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Answer:

distance down wind

d - 6 = distance back

time = distance ÷ speed

x = d/20

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so d/20 = (d - 6)/16. Cross multiply

20d - 120 = 16d

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30 = d so the whole trip assuming the bird gets back to the starting point is 60 miles

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