What is a negative z score and when would it be in your favor to have one?
Answer:
A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.
Step-by-step explanation:
Examples: Calculating a Z-Score
Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:
5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20
The sample mean of this dataset is 13 and the sample standard deviation is 5.51.
1. Find the z-score for the value “8” in this dataset.
Here is how to calculate the z-score:
z = (X – μ) / σ = (8 – 13) / 5.51 = -0.91
This means that the value “8” is 0.91 standard deviations below the mean.
2. Find the z-score for the value “13” in this dataset.
Here is how to calculate the z-score:
z = (X – μ) / σ = (13 – 13) / 5.46 = 0
This means that the value “13” is exactly equal to the mean.
3. Find the z-score for the value “20” in this dataset.
Here is how to calculate the z-score:
z = (X – μ) / σ = (20 – 13) / 5.46 = 1.28
The negative z-score indicates that a particular value will be less than the mean.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The points regarding the z-score are as follows:
A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.The negative z-score indicates that a particular value will be less than the mean.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ2
Chose the graph which represents the solution to the inequality
Answer:
See answers below.
Step-by-step explanation:
x = - 4x + 15 Change the ≤ to an = and solve for x
4x = 4x
5x = 15
x = 3 Now replace the equal sign with ≤
x ≤ 3
The graph: closed circle dot at point 3 and shaded to the left . Can not see the graph but pick the one that starts at 3 and shaded to the left.
Find all of the rational zeros of the function. f(x)=x 4 −3x 3 −6x 2 +6x+8
Answer:
The "possible" rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
The actual zeros are:
−
1
,
4
,
±
√
2
Explanation:
f
(
x
)
=
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
By the rational root theorem, any rational zeros of
f
(
x
)
are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
8
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
We find:
f
(
−
1
)
=
1
+
3
−
6
−
6
+
8
=
0
So
x
=
−
1
is a zero and
(
x
+
1
)
a factor:
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
=
(
x
+
1
)
(
x
3
−
4
x
2
−
2
x
+
8
)
Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:
x
3
−
4
x
2
−
2
x
+
8
=
(
x
3
−
4
x
2
)
−
(
2
x
−
8
)
x
3
−
4
x
2
−
2
x
+
8
=
x
2
(
x
−
4
)
−
2
(
x
−
4
)
x
3
−
4
x
2
−
2
x
+
8
=
(
x
2
−
2
)
(
x
−
4
)
Finally we can factor the quadratic as a difference of squares:
x
2
−
2
=
x
2
−
(
√
2
)
2
=
(
x
−
√
2
)
(
x
+
√
2
)
So the zeros are:
−
1
,
4
,
±
√
2
Surface area I need help
Answer:
100 + 100 + 40 + 40 + 40 + 40 = 360 yd^3
How to draw on the graph
y=3x
y=x-6
I need it as soon as possible plz
Answer:
I believe the graphing should look like this.
Step-by-step explanation:
What is the slope for this table?
Answer:
Slope=5
Step-by-step explanation:
Using slope formula, we have -9-(-14)/-1-(-2) which is 5/1, so our slope is 5
Answer:
slope is 5
Step-by-step explanation:
get 2 points and apply:
(-14-(-9))/(-2-(-1))=-5/-1=5
You are solving 5 – 8/3
=y/3
. Which equation will you get if you multiply both sides by 3?
Answer:
y=0.76
Step-by-step explanation:
5-8/3 = 3y
(5-8/3) x 3 = 3y x 3
6.9=9y
9y=6.9
y=6.9/9
y=0.76
please help me with this for a brainly plus give explaantion on how you got that answer
can someone help me with this please:)
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
Write the phrase as an equation /
inequality
Four is twenty more than the number.
Help pls
Answer:
4 = 20 + n, where n is the number
Step-by-step explanation:
Here are a few key words to use when converting words to an equation
"is": =
"more": +
"less": -
"more than", "greater than": >
"less than": <
hey guys did I get any of these right, if not pls help me.
Answer:Yep! All of them are right! Great job!
Step-by-step explanation:
Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?
Step-by-step explanation:
Given:
Lemons - l and apples - aa = 35¢, l = 15¢Number of apples and lemons = 17Cost of lemons and apples = $3.95 = 395¢System as per question:
a + l = 1735a + 15l = 395Or
a + l = 170.35a + 0.15l = 3.95Step-by-step explanation:
Let the number of apples be a and lemons be l . Then ,
=> a + l = 17
Also ,
=> 35a + 15l = $ 3.95
SOMEONE HELP ME PLEASE
Answer:
[tex]x=\frac{27}4=6.75[/tex]
Step-by-step explanation:
The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.
[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex] Replacing the values and cross-multiplying we get:
[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]
Answer:
6.75
Step-by-step explanation:
the answer is 6.75
so x = 6.75
1) State the area of the given trapezoid.
7 meters
9 meters
15 meters
A) 63 square meters
B) 67.5 square meters
C) 99 square meters
D) 135 square meters
Answer:
a=99
Step-by-step explanation:
The answer is 99 square meters. I took this quiz, so I know the answers. I hope you get a good grade!!
Find the value of 7u-8 given that -4u-5=3
Answer:
22
Step-by-step explanation:
-4u - 5 = 3
=> -4u = 8
=> u = -2
=> 7(-2) - 8
=> -14 - 8
=> -22
Therefore, -22 is our answer.
Hoped this helped.
what is the answer Factorise: 2x² +7x+6.
Answer:
2x + 3 )(x + 2 )
Step-by-step explanation:
2x² + 7x + 6
Find two numbers multiplied together to get 6
and if you multiply one by 2, the answer is 7:
Tested:
6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No
2 & 3 and 2 · 2 + 3 = 7 Yes
2x² = 2x & x
all signs are positive
trinomial factoring ( )( )
( + )( + )
2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)
The largest number goes with the 2x.
Therefore (2x + 3 )(x + 2 )
Check 2x(x + 2) + 3(x + 2)
2x² + 4x + 3x + 6
2x² + 7x + 6 checked
Answer:
11[tex]x[/tex]+6
Step-by-step explanation:
2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]
since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]
Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6
what is the equation of the trend line in the scatter plot
Answer: y = -x + 8
When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)
Can someone please help me with this?
Hello,
Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.
And then Khamis should have divided -5b by -5b.
Good Luck
Given m||n, find the value of x. (10X-40°)(x-140°
Answer:
1
Step-by-step explanation:
no es mi culpa que eres una caca
nia saw a watch on sale for 42.50 the original price of the watch was 69.95 what is the approximate discount on the watch
Answer:
0.2745%
Step-by-step explanation:
69.95-42.50=27.45
27.45×100=27.45%
answer asap!!
thank u :)
Answer:
I can't see the photo it's just a blank black screen.
Step-by-step explanation:
- Andy wants to rent a one-bedroom apartment in Green Acres. The apartment has a monthly rent of
$1,425. He must pay a $150 application fee, a security deposit that is equal to one month's rent and must
also
pay the last month's rent. His broker charges 5% of the yearly rent. How much is he expected to pay
up front in order to rent this apartment?
Answer:
$161.88
Step-by-step explanation:
1, 425 * 0.05 = 71.25 = yearly
71.25 / 12 = 5.94 = monthly
5.94 * 2 = 11.88 = for two months
11.88 + 150 = 161.88 = the amount he is expected to pay
Tell me if I'm wrong :)
Put the following equation of a line into slope-intercept form, simplifying all fractions, 6x+4y=-12
Answer:
Step-by-step explanation:
6x+4y=-12
subtract 6x from both sides in order to move 6x to the other side.
4y=-12-6x
divide 4 from the whole equation in order to make the 4y to y.
y= -3-6/4x
and to simply
y= -1.5x-3
or y= -3/2x-3
Given the expression -2 + x + (-5) what values of x will make the expression greather than zero? Create and inequality to represent your solution
-2+x+(-5) > 0 <=> x-7 > 0 <=> x > 7
ok done. Thank to me :>
A company spent $2415 on a plane ticket for seven employees all the tickets cost the same amount how much did each ticket cost
Answer:
$345
Step-by-step explanation:
2415 divided by 7 equals your total per ticket.
A magnifying glass shows the image of an object that is 10 times the objects actual size. Determine the length of the image of the object if the actual length of the object is 8 millimeters
Amy and Richard each solved an equation using the quadratic formula.
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.
Amy didn't include the negative sign for the 20, so she got an imaginary number.
Richard made it imaginary when he didn't need to. (there isn't a negative sign underneath the radical).
Scored 12 out of 39 in the test work out the percentage
Guided Practice
Type your answer and then click or tap Done.
What is the vertex of the parabola with the equation y=15x^2+2x−8?
Answer:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Step-by-step explanation:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Done
The vertex of the parabola is (−5, −13).
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
1
/15
,
−
121
/15
)
Find the vertex form.
y
=
15
(
x
+
1
/15
)
2
−
121
/15
Solve for u, z, y, or t.
Doubt --!!
Where is your question!??????