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2 years ago

Please help me understand the question

Mathematics

1 answer:

Sholpan [36]2 years ago

3 0

Answer:

○ $\displaystyle \textcolor{black}{C.}\:triangle$

Explanation:

This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.

I am joyous to assist you at any time.

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A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv

mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

$p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}$

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

$p=\frac{1}{6}$

Now, probability of failure is given by the formula:

$q=1-p=1-\frac{1}{6}=\frac{5}{6}$

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

$P(x) = ^nC_xp^xq^{n-x}$

Plug in all the given values and find the probability of 14 successes. This gives,

$P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087$

Therefore, the experimental probability of throwing a five is 0.087.

8 0

3 years ago

(Inscribed Angles)

Alik [6]

Answer:

(D) 30 degrees

Step-by-step explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Theorem(Inscribed Angles Conjecture I): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

By the theorem above and from the attached diagram,

Inscribed Angle p =Half of 60 degrees

$\angle p=0.5 X 60^\circ\\p=30^\circ$

The correct option is D.

4 0

2 years ago

Solve for x. Round to the nearest tenth of a degree, if necessary.

ziro4ka [17]

Answer:

x ≈ 28.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{3.9}{8.1}$ , then

x = $sin^{-1}$ ( $\frac{3.9}{8.1}$ ) ≈ 28.8° ( to the nearest tenth )

3 0

3 years ago

What is 4z(6x+7y)? Please help!

marshall27 [118]

Answer:

24xz + 28yz

Step-by-step explanation:

4z(6x + 7y) ← multiply each term in the parenthesis by 4z

= 24xz + 28yz

4 0

2 years ago

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A recipe calls for 1/4

Tom [10]

So, if we break it down, this is just easy math! First we divide 16 tablespoons/4 and that gives us 4, then we multiply 1*3 and that equals 3! So 3*4 is equal to 12. So there are 12 teaspoons of broth in 1/4 cup of broth! Hope this helped! Brainliest is always appreciated.

3 0

3 years ago

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