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.
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what is 18,678,789 times 67,897,867
I need help! Show all the work, step by step.
Answer:
z = [tex]\frac{4x}{3y}[/tex]
Step-by-step explanation:
x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4x = 3yz ( isolate z by dividing both sides by 3y )
[tex]\frac{4x}{3y}[/tex] = z
19 is 5 times a number - 2
I really need the equation
Step-by-step explanation:
19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2
Please help! 20 Points! Will give brainliest if correct!
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
I NEED THE ANSSWER ASAP!!
Which situation would best be represented by positive 32?
Write equations for the horizontal and vertical lines passing through the point (1,7) .
Answer:
horizontal line: y = 7
vertical line: x = 1
Step-by-step explanation:
3923 divided by 26 pls help
Answer:
150.884615385
Step-by-step explanation:
3923÷26=150.8846153846153
The picture shows the $4.88 Josephine spent on a package of 4 pens.
Drag the money below to the box to show how much each pen cost.
Answer:
4 dollars 8 dimes 8 pennies
Step-by-step explanation:
Answer:
Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.
What’s 568 divided by 7
[ASAP] Which graph represents a direct variation?
Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120
Answer:
a
Step-by-step explanation:
Answer:
A.) t+2g=205
t+g=120
Step-by-step explanation:
We know that Kerry scored 205 points by making 120 basket.
t+g=120 { Because some of the basket were 1-point free
t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.
Answer:
A = 27 cm²
Step-by-step explanation:
let 'w' = width
let '3w' = length
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
w = 3
l = 3(3) or 0
A = lw
A = 3(9)
A = 27
Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?
Step-by-step explanation:
12 to 39 divide each by 3
4 to 13 is the simpliest ratio
The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
Learn more about Pythagoras's theorem here:
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It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4
An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?
Answer:
sorry hindi amo marunong ng math
The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the cuboid = length × height × width.
The volume of the cube = side³.
Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,
Volume of the box = (L - 2h)² × h
(12 - 2h)² × h = 128
4h(6 - h)² = 128
h(36 + h² - 12h) = 32
h³ - 12h² + 36h - 32 = 0
(h - 2)(h² - 10h + 16) = 0
(h - 2)(h² - 8h - 2h + 16) = 0
(h - 2)(h(h - 8) - 2(h - 8)) = 0
(h - 2)(h - 2)(h - 8) = 0
h = 2,8
Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".
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Convert 8 yards into meters. Round your answer to the nearest tenth.
Answer:
7.3 meters
Step-by-step explanation:
use the formula:
meters= yards x 0.9144.
8 yards x 0.9144 = 7.3152 meters
which rounded to the nearest tenth is 7.3152
Answer:
7.3
Step-by-step explanation:
→ First find how many yards in one meter
1 yard = 0.9144 meters
→ Multiply 0.9144 by 8
0.9144 × 8 = 7.3152
–
2.8,
–
2
1
4
, and
–
2.45 in order from least to greatest
Answer: -2.8, -2.45, -2, 1, and 4.
Step-by-step explanation:
Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag
Answer:
8
Step-by-step explanation:
eight more anakd;odslakhas sfjjjsjas
What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
How do you solve , (x+3)2 ?
Answer:
Distributive property of multiplication.
Step-by-step explanation:
2(x+3)
Multiply 2 times x, and 2 times 3 so that you get:
2x+6
Answer:
(x+3)2= 2 × x 2 × 3= 2x + 6Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Anyone got any ideas?
Answer: 36
Step-by-step explanation:
AB = 16 cm
BC = CA = 10 cm
so it's 16 + 10 + 10 = 36
22 meters per second in kilometers per hour.
Answer:
79.2 kilometres per hour
Step-by-step explanation:
1 km = 1000 m
1 hr = 3600 sec. To convert km/hr into m/sec,
We multiply the speed which in this case is 22m/s
by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.
what is 75 percent of 18
Answer:
13.5
Step-by-step explanation:
f – 4 ≤ 9 for f. solve for the
Answer:
f>36
Step-by-step explanation:
9
<
f
4
Multiply both sides by
4
.
9
⋅
4
<
f
4
⋅
4
Simplify.
Tap for more steps...
36
<
f
Rewrite so
f
is on the left side of the inequality.
f
>
36
The result can be shown in multiple forms.
Inequality Form:
f
>
36
Interval Notation:
(
36
,
∞
)
Answer:
f={∞,13)
Step-by-step explanation:
f - 4 ≤ 9
f - 4-9 ≤ 0
f-13 ≤0
f=13
13- 4 ≤ 9
9 ≤ 9 √(f>13) f-4 ≤9
Find a number less than 13
f=12
12-4 ≤9
8≤9 √(f<13) f-4 ≤9
Find a number greater than 13
14
14-4 ≤9
10 ≤9 ×Will give brainliest if right
Answer:
y=-5x-12
y=-0.5x-5
y=-0.5x+0.5
y=-4.5x+3
y=-2x+7
y=2.5x+10
Step-by-step explanation:
Which of the following lists is in order from smallest to largest?
The answer is
1.1%, 0.1, 1/9, 2/11
Step-by-step explanation:
convert the fractions to decimals, the percentage to decimal.
then just order the numbers from smallest to biggest
1/9= 0.11
2/11=0.18
1.1%/100= 0.011
William Kamkwamba, the author of The Boy Who Harnessed the Wind, structured his memoir by first telling about the day the windmill he built first generated electricity, then by telling about the events that led him to build the windmill, and finally by telling about what happened to him after he built the windmill.
This is an example of which type of text structure?
Why does Kamkwamba begin with the day the windmill first generated electricity?
The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.
William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.
To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.
What is Text Structure?Text structure refers to the organization of writing to convey intended meanings.
The sequential text structure follows these processes:
It is a step-by-step account of the events in the story.It can be identified by words such as first, then, and finally.Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.
Learn more about text structure here:
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HELPP HURRYYYY !!
have to be turned in soon
Answer:
Last option: Angles 5 and 9
Step-by-step explanation:
Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.
Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.
Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.
Angles 5 and 9 are corresponding angles.