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2 years ago

What is the value of a when we rewrite (6/17)^9 x as a^x

Mathematics

1 answer:

Ksju [112]2 years ago

8 0

Answer:

$a = 8.498\times 10^{-5}$

Step-by-step explanation:

The value of $a$ is obtained herein:

$\left(\frac{6}{17} \right)^{9\cdot x}$

$\left[\left(\frac{6}{17} \right)^{9}\right]^{x}$

$\left(8.498\times 10^{-5} \right)^{x}$

$a = 8.498\times 10^{-5}$

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Whoever gets this correct gets brainliest

AlekseyPX

Answer:

More. Older

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8 0

2 years ago

Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.

jekas [21]

The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest = $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85

Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value = 10.702722 x $1,200 = $12,843.27

Total future value = $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

4 0

1 year ago

Suppose a normal distribution has a mean of 62 and a standard deviation of

lutik1710 [3]

Answer:

62.5%

Step-by-step explanation:

(56 - 62) / 4 = -1.5 z score = 0.0668

(64 - 62) / 4 = 0.5 z score = 0.6915

0.6915 - 0.0668 = 0.6247

Rounded this becomes 62.5%

7 0

2 years ago

What is 1/2 of 2 3/4?

luda_lava [24]

Answer:

1 3/8

Step-by-step explanation:

First, change the mixed fraction to improper fraction.

2 3/4 = 8/4 + 3/4 = 11/4

1/2 of 11/4 = (11/4)(1/2) = 11/8

11/4 - 11/8 = 22/8 - 11/8 = 11/8

11/8, or 1 3/8 is your answer.

5 0

3 years ago

If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly

cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_xp^x(1-p)^n-x$ , where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

$P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%$

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0

3 years ago