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ioda
3 years ago
10

3. If the lateral surface area of a

Mathematics
2 answers:
azamat3 years ago
6 0

Step-by-step explanation:

natulia [17]3 years ago
3 0

Answer:

<em>I) R = 3 cm;</em>

<em>II) V = 14.3 cm³.</em>

Step-by-step explanation:

<em>I) C = 94.2 ÷ 5 = 18.84</em>

<em>A cylinder has a base with a circumference of 18.84cm.</em>

<em />R=\dfrac{C}{2\pi } =\dfrac{18.84}{2 \cdot 3.14} =\dfrac{18.84}{6.28} =3 \: (cm)<em />

<em />

<em>II) </em>V=\pi R^{2}H=3.14 \cdot 3^{2}  \cdot  5 = 141.3 \: (cm^{3})<em />

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Answer:

42xsquared-3x-9

Step-by-step explanation:

5 0
3 years ago
What’s the answer and how do I solve it ?
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3 years ago
Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with
Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this question, we have that:

n = 7, p = 0.5

Find the probability that the number of correct answers is fewer than 4:

This is

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078

P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547

P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641

P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5

So

P(X < 4) = 0.5

6 0
3 years ago
The players height is standard deviation above the mean?
Alona [7]

Answer:

Step-by-step explanation:

Z score is the number of standard devations above the mean.

For example if z=1, the data value is 1 st. dev. above the mean.

So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.

4 0
3 years ago
Find the value of x.
Veseljchak [2.6K]
<h3>Answer:  x = 35  (choice D)</h3>

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

Work Shown:

secant angle = (far arc - near arc)/2

angle BGC = (arc BC - arc AD)/2

40 = (115 - x)/2

2*40 = 115-x

80 = 115-x

115-x = 80

-x = 80-115

-x = -35

x = 35

For more information, you can search out "secant angles" and it should go over how the formula is set up and why it works.

4 0
3 years ago
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