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3 years ago

Find the equation of the line, in slope intercept form that passes through the point (-6,5) and has slope 1/3

Mathematics

1 answer:

nexus9112 [7]3 years ago

6 0

Answer:

y = x/3 + 7

Step-by-step explanation:

Use the equation: y - y1 = m(x - x1)

Plug in the given values into the equation:

y - 5 = (1/3)(x + 6)

Simplify the right side:

y - 5 = (x/3) + 2

Finally, add 5 to both sides:

y = x/3 + 7

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A binomial probability experiment is conducted with given parameters. Compute the probability of x successes in the n independen

snow_lady [41]

Answer:

P(X = 4) = 0.1876

Step-by-step explanation:

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:

$n = 15, p = 0.2$

We want P(X = 4). So

$P(X = 4) = C_{15,4}.(0.2)^{4}.(0.8)^{11} = 0.1876$

7 0

2 years ago

If 6 kg of<br>biscut cost $27<br>Calculate the cost of<br>13kg of biscuits

xxMikexx [17]

6kg cost 27
1kg cost 4.5

13kg X 4.5= 58.5

4 0

2 years ago

Is (8,8) a solution to the inequality y < 6x + 5?

NARA [144]

Answer: Yes

Step-by-step explanation: It falls under the shaded area created by y < 6x+5

4 0

2 years ago

Find the height of the triangle by applying formulas for the area of a triangle and

lina2011 [118]

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm ; c = 18 mm

s = (a + b+c)/2

$=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\$

s -a = 18 - 12 = 6 mm

s -b = 18 - 16 = 2 mm

s -c = 18 - 8 = 10 mm

$area = \sqrt{s(s -a)(s-b)(s-c)}$

$= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\$

$\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\$

= 5.75

Height = 5.8 mm

8 0

2 years ago

Read 2 more answers

Solve the equation x/4+3=-6

charle [14.2K]

X/4 = -9

x/4 = -9/1

cross multiply

x = -36

3 0

2 years ago