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3 years ago

Use the probability distribution table to answer the question.

Mathematics

1 answer:

dalvyx [7]3 years ago

7 0

Answer:

0.88

Step-by-step explanation:

P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)

P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05

P(x≥2) = 0.88

Or, you can calculate it as:

P(x≥2) = 1 - P(x=1) - P(x=0)

P(x≥2) = 1 - 0.09 - 0.03

P(x≥2) = 0.88

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PLEASE HELP ME!!!

PSYCHO15rus [73]

1) 3x=(4x+50-30)/2
x=10

Explanation: (1/2)(big arc - small arc), plug in the numbers and solve

2) 15•x=33•10
x=22

Explanation: a•b=c•d, plug in the numbers and solve

3) (x+8)•8=(24+4)•4
x=6

Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve

7 0

3 years ago

If g(x) = 3 - 2x find, g(-1)

pogonyaev

Steps to solve:

g(x) = 3 - 2x when g(-1)

~Substitute

g(-1) = 3 - 2(-1)

~Simplify

g(-1) = 3 - (-2)

~Simplify

g(-1) = 3 + 2

~Add

g(-1) = 5

Best of Luck!

3 0

3 years ago

Write the equation of each line using the given information.

Leni [432]

a) x – 2y + 6 = 0 b) x + y = 1 c) y = 1 d) y = -3x + 8

<h3>Solution:</h3>

a. The points (-4,1) and (2,4) both lie on the line

The general line equation on which (a, b) and (c, d) lies is:

$y-\mathrm{b}=\frac{d-b}{c-a}(x - a)$

Here the given points are (a, b) = (-4, 1) and (c, d) = (2, 4)

Thus the required equation is:

$y-1=\frac{4-1}{2-(-4)}(x-(-4))$

On solving we get,

$\begin{array}{l}{\rightarrow y-1=\frac{3}{2+4}(x+4)} \\\\ {\rightarrow y-1=\frac{3}{6}(x+4)} \\\\ {\rightarrow 2(y-1)=1(x+4)} \\\\ {\rightarrow 2 y-2=x+4} \\\\ {\rightarrow x-2 y+6=0}\end{array}$

b.) m= -1 and the point (2, -1) lies on the line

The equation of line in point slope form is y – b = m(x – a)

where m is slope and (a, b) is a point on it

Here m = -1 and (a, b) = (2, -1)

Thus the required equation is:

y – (-1) = -1(x - 2)

y + 1 = -x + 2

y = -x + 2 -1

y = -x + 1

c. )It has the same slope as y = 5 and passes through (1, 1)

our line has same slope with y = 5, then our equation would be y = k and it passes through (x, y) = (1, 1) so, then by substitution

1 = k

k =1

Then our equation will be y = k

y = 1

d. ) m= -3 and it has a y-intercept of (0, 8)

line equation in slope intercept form is y = mx + b where m is slope and b is y – intercept.

Then, our equation will be y = -3x + 8

We took y- intercept = 8 as it is the value of y when x = 0

6 0

3 years ago

Which of these is a parent function? And can you tell me how you know?

avanturin [10]

Hey there!

A parent function is the most basic function in any group of functions. For example, f(x) = x^2 is the parent function for quadratic functions, and y = x is the parent function for linear functions. When there's nothing added, subtracted, multiplied, or divided to the function.

For A, we see that we're multiplying 2 times 3^x, and since this is not any alternation of any parent function or any parent function in particular, we can rule it out.

For B, we see that 3 is being added to x^2, so it cannot be a parent function.

For C, we see that 2 multiplied to e, therefore it cannot be the mot basic function.

Finally, for D, we see a function that looks similar to the quadratic parent function and is very simple itself. Any alterations to this is any other quadratic function

Your answer is D.

Hope this helps!

7 0

3 years ago

What is the solution to the system of equations? -3x-y+z=6 -3x-y+3z=0 x-3z=3

valentina_108 [34]

Answer:X/3X=3

We move all terms to the left:

X/3X-(3)=0

Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R

We multiply all the terms by the denominator

X-3*3X=0

Wy multiply elements

X-9X=0

We add all the numbers together, and all the variables

-8X=0

X=0/-8

X=0

Step-by-step explanation:

4 0

3 years ago