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3 years ago

13

2log50+2log2 sederhanakan dengan caranya

1 answer:

Jet001 [13]3 years ago

4 0

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

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You made a deal with Ms.Williams to read 100 pages every night. You know that it takes you 32 minutes to read 16 pages. How long

AnnyKZ [126]

Put the problem into a proportion to make it easier to solve.

32 x
=
16 100

You can use cross products to simplify this proportion. Multiply 32 by 100, and set that number equal to 16 *x.

Your equation should now look like this
3200=16x

You are trying to get the variable alone on one side, so you should divide both sides by 16.

If this is performed correctly, then your final answer should be

x=200.

It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams

5 0

2 years ago

look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A whe

Nimfa-mama [501]

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

7 0

2 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

What is 0.7 in simplest form

dolphi86 [110]

7/10 you can not simplify tht fraction any more. 7 does not go into
10 evenly.

7 0

2 years ago

6/7 into two decimal places.

nordsb [41]

Answer:

0.86

Step-by-step explanation:

You will get 0.85714.....

Then 0.86 is 2 dp

6 0

3 years ago