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2 years ago

find the hypotenuse of each isosceles right triangle when the legs are of the given measure 6 square root of 2

Mathematics

1 answer:

tatiyna2 years ago

3 0

A^2 + b^2 = c^2
(6√2)^2 + (6√2)^2 = c^2
(36)(2) + (36)(2) = c^2
72 + 72 = c^2
144 = c^2
√144=√(c^2)
c = 12

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Evaluate. 4^3⋅(100÷25)−5^0 Enter your answer in the box.

astraxan [27]

4³ ⋅ (100 ÷25) − 5^0

[parenthesis goes first, then exponents]

[any coefficient with zero exponent is equal to 1]

64 · 4 - 1

[multiplication, then subtraction]

256 - 1

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2 years ago

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

ratelena [41]

So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

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3 years ago

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in

patriot [66]

About 32.34% of the values do not lie between the z-scores of -1.3 and 0.75.

First, we need to find the region between the z-scores.

If you look at a normal distribution table, you will get the following values:

0.75 = 77.34%
-1.3 = 9.68%

Subtraction those gives us the area between the z-scores.
77.34 - 9.68 = 67.66%

Now, just subtract that value from 100% to get the amount outside of the area.
100 - 67.66 = 32.34%

4 0

3 years ago

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8

svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

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 $1-0.005 = 0.995$ , so $z = 2.575$

Now, 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.

$M = 2.575\frac{2.4}{\sqrt{955}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0

2 years ago

Please help I’m lost it has to be 3 or 2 or more answers by the way and I will except answers from Expert, Ace, or Genius or any

deff fn [24]

The correct answer is only A, because you need the tenths place to be greater than the number on the left, and not just the hundredths place.

P.S. Even though I'm a beginner, I took Multi-Variable calculus in 12th grade.
P.P.S. STOP PUTTING ON RANDOM ANSWERS ON QUESTIONS JUST SO YOU CAN GET THE POINTS!!!!!!

4 0

2 years ago