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IgorC [24]
2 years ago
11

Lian invested an amount of money at an interest rate of 5.2% per year.

Mathematics
1 answer:
Zigmanuir [339]2 years ago
7 0

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus,  amount of money Lian invested is $6500.

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A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.
Dennis_Churaev [7]

Answer:

Margin of error at 90% is 0.024

Margin of error at 99% is 0.037

Step-by-step explanation:

Sample size = 1076

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

So, No. of adults said they believe ghosts = \frac{64}{100} \times 1076=688.64\sim 688

So, x = 688

n = 1076

\widehat{p} = \frac{x}{n}

\widehat{p} = \frac{688}{1076}

\widehat{p} = 0.639

ME=z \times \sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}}

z at 90% confidence is 1.64

ME=1.64 \times \sqrt{\frac{0.639(1-0.639)}{1076}}

ME=0.024

So, margin of error at 90% is 0.024

Find the margin of error needed to be 99% confident.

z at 99% confidence is 2.58

ME=2.58 \times \sqrt{\frac{0.639(1-0.639)}{1076}}

ME=0.024

So, margin of error at 99% is 0.037

5 0
2 years ago
Let Î be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P(Î = 1) = p. Under the hypothe
Natasha_Volkova [10]
I am so confused on this can u help me
5 0
2 years ago
hmu also What is the sum and classification of Two-fifths + StartRoot 88 EndRoot? 9.78083151..., irrational 9.78083151..., ratio
schepotkina [342]

Answer:

9.78083151 irrational

Step-by-step explanation:

Here, we want to sum 2/5 + √(88) and check if it is rational or irrational

2/5 = 0.4

√88 = 2 √22

So 0.4 + 2 √22

So what we want to do here is add a rational number to an irrational number. Kindly recall that surds are irrational numbers.

Mathematically, adding a rational number to an irrational one gives an irrational result

so we have;

9.780831519647 irrational

4 0
2 years ago
Read 2 more answers
The rate traveled from Amarillo to Austin by a bus averages 65 miles per hour. The bus arrived in Austin after eight hours of tr
Kobotan [32]
If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles

The distance from Amarillo to Austin (or vice versa) is 520 miles.

If the function to get the distance traveled by the automobile is given by:
d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
t = 6.5 hours

It takes 6.5 hours for the automobile to complete the trip
4 0
2 years ago
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inch
enyata [817]

First to find the median we need to put the numbers in order from least to greatest.

62, 64, 65, 66, 67, 69, 83

Now take a number from each side

64, 65, 66, 67, 69

Once again.

65, 66, 67

On last time

66

So the median is 66.

Now to find the mean we must add all the numbers up

64+67+83+65+66+62+69

which equals 476

Now divide 476 by the total number of heights which is 7

476/7=68

So the mean is 68

Answers: Mean; 68 Median; 66

3 0
2 years ago
Read 2 more answers
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