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Ray Of Light [21]
1 year ago
7

If a normal random variable has a mean = _____ and a standard deviation = _____, it is called a standard normal distribution.gro

up of answer choices
Mathematics
1 answer:
Valentin [98]1 year ago
7 0

If a normal random variable has mean of 0 and standard deviation of 1, it is called a standard normal distribution.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

For the standard normal distribution, the mean and the standard deviation are given, respectively, by:

\mu = 0, \sigma = 1

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

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Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
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x
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4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
3 years ago
The width of a rectangle is the sum of the length and 3. The area of the rectangle is 54 units. What is the length, in units, of
amm1812

Answer:

6 units =

Step-by-step explanation:

= 3 +

[3 + ] = 54 ↷

² + 3 - 54 ↷

[x - 6][x + 9] = 0

↑

We want this expression because when we talk about dimensions, we want NON-NEGATIVE numbers. The other expression gives us a solution of <em>-</em><em>9</em><em> </em><em>=</em><em> </em><em>x</em><em>,</em><em> </em>and we do not want that; this one gives us <em>6</em><em> </em><em>=</em><em> </em><em>x,</em><em> </em>and THIS is what we are looking for.

I am joyous to assist you anytime.

8 0
3 years ago
I dont get this so cant help daughter
sergey [27]

1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

<u>Finding the coordinates of point A:</u>

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x  = -2                 [adding 2 on both sides]

Also,

y - 3 = 3

y  = 6                 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

<u>Finding the coordinates of B:</u>

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2             [adding 2 on both sides]

also,

y-3 = 2

y = 5             [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

<u>Finding the coordinates of C:</u>

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2  

x = 0            [adding 2 on both sides]

y - 3 = 3

y = 6            [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

__________________________________________________________

2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6)   ,    B(-2,-5)   ,    C(0,-6)

5 0
3 years ago
Need help asap<br> will give brainly
uysha [10]

Answer:

(5,3)

Step-by-step explanation:

When you go around origin, all it is does is it turns (x,y) into (-x,-y). (--5,--3) = (5,3)

5 0
3 years ago
Read 2 more answers
Complete the table showing the price of different amounts of grapes at this rate
luda_lava [24]
There’s no image so I can’t answer
6 0
3 years ago
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