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AnnyKZ [126]
3 years ago
13

In a square of a side length s, what is the length of a diagonal?

Mathematics
1 answer:
padilas [110]3 years ago
5 0
S - length of a square

d - length of a diagonal

d = s√2

why?

Use the Pythagorean theorem:

d² = s² + s²
d² = 2s²
d = √(2s²)
d = √2 · √s²
d = s√2
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Write an equation in point-slope form of the line that passes through (-1, – 4) with slope -2.
Rom4ik [11]
Y+4=-2(x+1)

This is the point slope form (y-y1) =m(x-x1)

I hope it will helped!
4 0
3 years ago
A random sample of 500 reports an average yearly income of $42,000 with a standard deviation of $1000. An estimate of the parame
Lorico [155]

Answer:

E

Step-by-step explanation:

Confidence Interval = mean + or - error margin

Mean = 42,000, error margin = width of estimate of the parameter ÷ 2 = 175 ÷ 2 = 87.50

We can be 95% confident that the population mean is 42,000 plus or minus 87.50

8 0
3 years ago
A production manager randomly sampled production lines at a factory that produces automobiles. She wanted to find out how many p
Elena-2011 [213]

Answer:

The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).

Step-by-step explanation:

A confidence interval for a population proportion is a function of the sample proportion and the margin of error.

The interval has two bounds, a lower bound and an upper bound.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this problem, we have that:

Sample proportion 0.08

Margin of error 0.01

0.08 - 0.01 = 0.07

0.08 + 0.01 = 0.09

The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).

5 0
3 years ago
Larry reads that 1 out of 4 eggs contains salmonella bacteria, so he never uses more than 3 eggs in cooking. If eggs do or don't
aleksley [76]

Answer:

57.8125% or approx. 57.8%

Step-by-step explanation:

There is a 1/4, or 25%, or 0.25 chance that an egg has salmonella.

Thus, there is a 75%, or 0.75 chance that an egg DOESN'T contain salmonella.

Let's find the probability that all 3 of Larry's eggs are free from salmonella. Larry would have to hit that 75% chance 3 times in a row. The chance of that happening is:

0.75 * 0.75 * 0.75 = 0.75^3 = 0.421875

From this, we can deduce that if there is a 0.421875 (42.1875%) chance that all eggs are safe to eat, there must be a...

1 - 0.421875 = 0.578125

...0.578125 (57.8125%) chance that 1 or more of Larry's eggs do have salmonella.

Answer: approx. 57.8% or 57.8125%

7 0
3 years ago
How does the indian reservation have the effect on the Right of Occupancy
SVEN [57.7K]

Answer:

As U.S. citizens, American Indians and Alaska Natives are generally subject to federal, state, and local laws. On federal Indian reservations, however, only federal and tribal laws apply to members of the tribe, unless Congress provides otherwise.

Step-by-step explanation:

somone deleted my awnser

3 0
2 years ago
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