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slava [35]
2 years ago
15

A poll of 400 people from Dobbs Ferry showed 250 preferred chocolate raspberry coffee while 170 out of 350 in Irvington preferre

d the same flavor. To test the hypothesis that there is no difference in preferences in the two villages, what is the alternate hypothesis
Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Answer: The alternate hypothesis would disprove the null hypothesis and state that there are a significant difference in preferences/proportions between the two villages.

For instance, let's say:

  • p₁ = proportion of preference from Dobbs Ferry
  • p₂ = proportion of preference from Irvington

The null hypothesis would be that p₁ = p₂, while the alternative hypothesis would be that p₁ ≠ p₂.

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At what rates percent compound interest will Rs2000 amount to Rs 2420 in 2 years. ​
igor_vitrenko [27]

The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.

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

The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.

The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.

Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.

Using the formula A = P(1 + r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)^(1/nt) - 1]

r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]

r = 0.1

Then convert r to R as a percentage

R = r × 100

R = 0.1 × 100

R = 10%/year

Learn more about compound interest

brainly.com/question/12325365

#SPJ9

4 0
1 year ago
In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th
Salsk061 [2.6K]

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

8 0
3 years ago
Antonio and his family ordered a meal that cost $20. Antonio paid 5% sales tax and left a 15% tip on $20. What was the total cos
dsp73
The total would be 24 dollars.
6 0
3 years ago
Find the percent of change in altitude if a weather balloon moves from 50 ft to 95 ft. Describe the percent of change as an incr
Luda [366]
The change of the weather balloon would be 90% increase. to get the percentage of change we have to subtract 50 ft to 95 ft, it will then give us the 45 ft change. Then we have to divide 45 ft by 50 ft times 100, it will give us 90%. Then since the change and percentage of change is positive then the change could be describe as increasing.
5 0
3 years ago
3x + 1 − 4x3 + 6x6 −2x2 standard form
Molodets [167]
<span>6x6 - 4x3 - 2x2 + 3x + 1</span>
7 0
3 years ago
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