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Kobotan [32]
3 years ago
5

The area between z=0 and z=1 under the standard normal curve is ?

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

According to the Empirical Rule, 68% of data lies within 1 std. dev. of the mean. Thus, between z=0 and z=1 lie half of that, or 34%, of the data.


Using a calculator for a more precise answer:


normalcdf(0,1) = 0.3413 (answer)

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
I need to know the answer to the question with the circle
KATRIN_1 [288]
___________________________

◆ AREA RELATED TO CIRCLES ◆ ___________________________

As shown in the figure ,

Radius of circle = 5 cm

Side of square = 2 × (Radius of inscribed circle)

Side of square = 2 × 5 cm

Side of square = 10 cm = a

___________________________

Now ,
Area of shaded region = (Area of square) - ( Area of inscribed circle )

Area of shaded region =
{a}^{2} - \pi {r}^{2}

Area of shaded region =
{10}^{2} - \frac{22}{7} \times {5}^{2}

Area of shaded region = 100 - 78.571

= 21.428 \: ans.

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Answer: the answer is contractor A: the probability that both conditions are met is 0.92.

Step-by-step explanation:

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~Can someone please help me with these questions?~
konstantin123 [22]

Answer:

the answer is B, complementary angles

Step-by-step explanation:

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