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3 years ago

Find the value of x

Mathematics

1 answer:

Citrus2011 [14]3 years ago

8 0

Answer:

x = 25 degree

Step-by-step explanation:

5x + 4 = 8x - 71 (being vertically opposite angle)

5x - 8x = -71 - 4

-3x = -75

x = -75/-3

x = 25

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A letter is randomly chosen from the word EXCELLENT. Write each probability as a fraction, decimal, and a percent.

Sergio [31]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A complete question is in the form:

A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.

Solution:

The total number of letters found in the word EXCELLENT = 9

i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3

Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3

probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%

ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6

Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3

probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%

7 0

3 years ago

A line drawn from two points on a circle and passing through the interior of a circle would be what?

KATRIN_1 [288]

A cord: and the longest cord in a circle is the diameter , so a diameter is a special case of cord.

6 0

3 years ago

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Jake cut a round gelatin dessert into 8 equal parts. five of the pieces were eaten . what is the angle measure of the dessert th

Alchen [17]

Answer:

3/8

Step-by-step explanation:

8-5=3

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3 years ago

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A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

grigory [225]

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = $\dfrac{\text{Size of image}}{\text{Size of original figure}}$

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = $\dfrac{14.7}{4.2}=3.5$ [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

5 0

4 years ago

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A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X

slavikrds [6]

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

$p = \frac{1}{6}$ =0.16

q = 1-p = 1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

μ = n p

μ = $12 (\frac{1}{6} ) = 2$

The mean of the binomial distribution = 2

Step(ii):-

The standard deviation of X

σ $= \sqrt{npq}$

σ = $\sqrt{12(0.16)(0.84}$

σ = $1.269$

The standard deviation of the binomial distribution

σ = $1.269$

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3 years ago

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