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Vinil7 [7]
3 years ago
5

PLLKEEASE HELPPPPPPP ASAPP

Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

x = 19

Step-by-step explanation:

(5x + 4)° + (x - 2)° + (3x + 7)° = 180°

(5x + x + 3x)° + (4 - 2 + 7)° = 180°

9x° + 9° = 180° → ÷9

x + 1 = 20

x = 20 - 1

x = 19

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a. cone. Since it's the only shape with one base and a vertex not on the same plane

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3 years ago
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Sara found 58 seashells on the beach,she gave Dan some of her seashells.She has 13 seashells left.How many seashells did she giv
Salsk061 [2.6K]
58-13 that she has left = 45
She gave 45 to Dan
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3 years ago
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The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.4521, 0.3970, 0.1307, 0.0
kicyunya [14]

Answer:

The standard deviation of given probability distribution is 0.767.

Step-by-step explanation:

We are given the following information in the question:

  X:      0                  1                  2                3                  4

P(x):      0.4521         0.3970       0.1307        0.0191          0.0010

Formula:

\text{Mean} = \sum X.P(x)\\= 0(0.4521) + 1(0.3970) + 2(0.1307) + 3(0.0191) + 4(0.0010)\\= 0.7197

\mu = 0.7197

Formula:

\text{Variance} = \sum (X-\mu)^2E(x)\\= (0-0.7197)^2(0.4521)+(1-0.7197)^2(0.3970)+(2-0.7197)^2(0.1307)+(3-0.7197)^2(0.0191)+(4-0.7197)^2(0.0010) \\=0.587

\text{Standard Deviation} = \sqrt{\text{Variance}}\\= \sqrt{0.587} = 0.767

The standard deviation of given probability distribution is 0.767.      

3 0
4 years ago
In the following figure, m∠A = 55° and the m∠ACE = 86° . What is the m∠E = ? Show your work.
Paladinen [302]

the answer is

<E=31°.............. ..

3 0
3 years ago
Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
White raven [17]

Given:

The equation of a line is:

y=x+1

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

y=mx+b             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

y=x+1                ...(ii)

On comparing (i) and (ii), we get

m=1

Slope of the given line is 1.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.

The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:

y-y_1=m(x-x_1)

y-(-4)=1(x-3)

y+4=x-3

Subtracting 4 from both sides, we get

y=x-3-4

y=x-7

Therefore, the equation of the required line is y=x-7.

4 0
3 years ago
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