2 years ago

Determine whether these two ratios make a proportion;3 over 8 comma 24 over 64 TRUE OR FALSE

Mathematics

1 answer:

Stolb23 [73]2 years ago

6 0

Answer:

TRUE.

Step-by-step explanation:

24/64

Divide top and bottom of the fraction by 8:

(24/8) / (64 / 8)

= 3/8.

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Let x be a random variable with pmf pk = c/k2 for k = 1, 2, …a. estimate the value of c numerically. note that the series conver

kaheart [24]

$f_X(x)=\begin{cases}\dfrac c{k^2}&\text{for }k\in\{1,2,\ldots\}\\0&\text{otherwise}\end{cases}$

Because this is a valid PMF, you must have

$\displaystyle\sum_{k\ge1}f_X(x)=\sum_{k\ge1}\frac c{k^2}=1$

Recall that

$\displaystyle\sum_{k\ge1}\frac1{k^2}=\dfrac{\pi^2}6$

so the above sum is

$\displaystyle\sum_{k\ge1}\frac c{k^2}=\frac{c\pi^2}6=1$

which means that you must have

$c=\dfrac6{\pi^2}\approx0.6079$

8 0

3 years ago

Can anybody help with this? pretty important

alukav5142 [94]

Answer:

I'm pretty sure it's b or c but I think c

6 0

3 years ago

Benny invests $960 yearly into an account that pays 8% interest, compounded

docker41 [41]

Answer:

$2,072.56

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r) ^ n

A = 960(1+0.08) ^ 10

A = 960(1.08)^10

A = 960(2.1589)

A = 2,072.56

Hence the amount in Benny's account after 10 years is $2,072.56

7 0

3 years ago

Noel rented a bike from Donnell's Bikes. It cost $19 plus $6 per hour. If Noel paid $49 then he rented the bike for how many hou

Katyanochek1 [597]

Answer:

nose varnal jdjfjfhr8euieurjb

4 0

3 years ago

Steve spent a total of $17.25 rollerblading. He rented skates for $3.50 and skated for 5 hours. Each hour cost the same amount.

LenaWriter [7]

Answer:

Each hour costs $2.75

Step-by-step explanation:

17.25 - 3.50 = 13.75

13.75/5 = 2.75

Hope this helped <3

6 0

3 years ago