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2 years ago

Which shape will result from taking a cross section of the tetrahedron through the points shown?

Mathematics

1 answer:

Svetach [21]2 years ago

5 0

Answer:

the anwer is a triangle as it is shown below.

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What is the value of sec theta in the triangle below

olya-2409 [2.1K]

Answer:

The answer to your question is the third choice secФ = 41/40

Step-by-step explanation:

Data

Opposite side = 9

Adjacent side = 40

hypotenuse = 41

Process

To solve this problem use trigonometric functions. The secant is the trigonometric function that relates the hypotenuse and the adjacent side.

sec Ф = hypotenuse / adjacent side

hypotenuse = 41

adjacent side = 40

then,

secФ = 41/40

3 0

3 years ago

Write it as a mixed number please

kolezko [41]

Answer:

-549/8 as mixed number

8 0

2 years ago

Read 2 more answers

Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence:

$(1 - p)^5 = \frac{232}{243}$

$\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}$

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461$

$P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012$

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

2 years ago

The fourth and fifth grade classes at James Madison Elementary School are going on a field trip. There are 87 students in fourth

Anna11 [10]

Answer:

about 7

Step-by-step explanation:

6 0

3 years ago

Maria is going to purchase cranberry juise and soda water for a new fruit punch recipe. The recipe calls for 3 times as many bot

vlada-n [284]

Let +n+ = number of bottles of cranberry juice needed
+2n+ = number of bottles of ginger ale needed
---------------------------
+3.2n+%2B+.9%2A%28+2n+%29+=+20+
+3.2n+%2B+1.8n+=+20+
+32n+%2B+18n+=+200+
+50n+=+200+
+n+=+4+
and
+2n+=+8+
----------------
The most bottles of cranberry juice is 4

8 0

3 years ago