Using the normal distribution, we got that expression for the z-score of her test score is
<h3>What is Normal
Probability Distribution?</h3>
it's a type of probability distribution which is symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.
Given that mean =
and standard deviation =
X=73
we know that formula of z-score is
Hence Z-score can be calculated as
Using the normal distribution, we got that expression for the z-score of her test score is
To learn more about the normal distribution visit : brainly.com/question/24663213
Answer:
m = 0
Step-by-step explanation:
Formula for slope
m = ( y_2 - y_1)/ ( x_2 - x_1)
We are given two points
( y_2 , y_1) = ( -3 -(-3))
( x_2 - x_1) = ( 5 - (-1))
( -1 , -3) ( 5 , -3)
x_1 = -1
y_1 = -3
x_2 = 5
y_2 = -3
Insert the values
m = y_2 - y_1/ x_2 - x _1
m = -3 - (-3)/ 5 - (-1)
m = -3 + 3 / 5 + 1
m = 0/6
m = 0
Answer:
<h3><u>1.</u>)</h3>
3n + 1 = 7n - 5
1 + 5 = 7n - 3n
6 = 4n
3/2 = n
<h3><u>2</u><u>.</u>)</h3>
2[x + 3(x - 1)] = 18
2[x + 3x - 3] = 18
2(4x - 3) = 18
8x - 6 = 18
8x = 12
x = 12/8
x = 3/2
<h3>
<u>3</u><u>.</u>)</h3>
6(y + 2) - 4 = -10
6y + 12 - 4 = -10
6y = -10 - 8
6y = -18
y = -3
<h3>
<u>4</u><u>.</u>)</h3>
2x² = 50
x² = 50/2
x = √25
x = 5
<h3>
<u>5</u><u>.</u>)</h3>
5 + 2(k + 4) = 5(k - 3) + 10
5 + 2k + 8 = 5k - 15 + 10
2k - 5k = -5 - 13
-3k = -18
k = 6
<h3>
<u>6</u><u>.</u>)</h3>
6 + 2x(x - 3) = 2x²
6 + 2x² - 6x = 2x²
-6x = 2x² - 2x² - 6
x = 1
<h3>
<u>7</u><u>.</u>)</h3>
2/3x - 18 = x/6
12(2/3x - 18 = x/6)
8x - 216 = 2x
8x - 2x = 216
6x = 216
x = 36
<h3><u>
8.</u>
)</h3>
x - 2/3 = 2x + 1/4
12(x - 2/3 = 2x + 1/4)
4x - 8 = 6x + 3
4x - 6x = 8 + 3
2x = 11
x = 11/2
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
8km
Step-by-step explanation:
it is 8km because it is not that much bigger than 6km
6x+8=-4x-2
10x=-10 /:10
x=-1
y=-6*(-1)+8
y=-6+8
y=2
