Answer:
length = 91 m
Step-by-step explanation:
area = length * width
so,
7371 = length * 81
cancel out 81 by dividing on both sides
91 = length
Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.
Answer:
a) The boundaries are [tex]Z = \pm 0.253[/tex]
b) The boundaries are [tex]Z = \pm 0.675[/tex].
c) The boundaries are [tex]Z = \pm 1.96[/tex].
d) The boundaries are [tex]Z = \pm 2.575[/tex].
Step-by-step explanation:
Z-score:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
a. The middle 20% from the 80% in the tails.
The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:
40th percentile: Z has a pvalue of 0.4, so Z = -0.253.
60th percentile: Z has a pvalue of 0.6, so Z = 0.253.
The boundaries are [tex]Z = \pm 0.253[/tex].
b. The middle 50% from the 50% in the tails.
The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:
25th percentile: Z has a pvalue of 0.25, so Z = -0.675.
75th percentile: Z has a pvalue of 0.75, so Z = 0.675.
The boundaries are [tex]Z = \pm 0.675[/tex].
c. The middle 95% from the 5% in the tails.
The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:
2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.
97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.
The boundaries are [tex]Z = \pm 1.96[/tex].
d. The middle 99% from the 1% in the tails.
The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:
0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.
99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.
The boundaries are [tex]Z = \pm 2.575[/tex].
A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.a. A middle 20% from the 80% in the tails.
Note: The middle 20% is between the 40th percentile and 60th percentile.
40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.Z = [tex]\pm 0.253[/tex]
b. A middle 50% from the 50% in the tails.
Note: The middle 50% is between the 25th percentile and 75th percentile.
25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.Z = [tex]\pm 0.675[/tex]
c. A middle 95% from the 5% in the tails.
Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.
2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.Z = [tex]\pm 1.96[/tex]
d. A middle 99% from the 1% in the tails.
Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.
0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.Z = [tex]\pm 2.575[/tex]
Read more on z-scores here: https://brainly.com/question/4302527
Factor 3n^2 + 5n - 2
PLZ HELP
Answer:
(3n - 1)(n + 2)
Step-by-step explanation:
Which
pair of triangles can be proven congruent by SAS?
Two triangles that are congruent using SAS.
SAS = Side Angle Side
The two triangles in option B are congruent by SAS.
Option B is the correct answer
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two triangles that are congruent using SAS.
SAS = Side Angle Side
Now,
The two triangles in option B are congruent by SAS.
There are two sides that are equal in each triangle.
There is one angle that is equal in each triangle.
Thus,
The two triangles in option B are congruent by SAS.
Option B is the correct answer
Learn more about triangles here:
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Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.
Answer:
[tex]P_{20} = 20[/tex] --- 20th percentile
[tex]P_{25} = 21.75[/tex] --- 25th percentile
[tex]P_{65} = 27.85[/tex] --- 65th percentile
[tex]P_{75} = 29.5[/tex] --- 75th percentile
Step-by-step explanation:
Given
27, 24, 21, 16, 30, 33, 28, and 24.
N = 8
First, arrange the data in ascending order:
Arranged data: 16, 21, 24, 24, 27, 28, 30, 33
Solving (a): The 20th percentile
This is calculated as:
[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{9}{100}[/tex]
[tex]P_{20} = \frac{20 * 9}{100}[/tex]
[tex]P_{20} = \frac{180}{100}[/tex]
[tex]P_{20} = 1.8th\ item[/tex]
This is then calculated as:
[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]
[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]
[tex]P_{20} = 16 + 0.8*5[/tex]
[tex]P_{20} = 16 + 4[/tex]
[tex]P_{20} = 20[/tex]
Solving (b): The 25th percentile
This is calculated as:
[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{9}{100}[/tex]
[tex]P_{25} = \frac{25 * 9}{100}[/tex]
[tex]P_{25} = \frac{225}{100}[/tex]
[tex]P_{25} = 2.25\ th[/tex]
This is then calculated as:
[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]
[tex]P_{25} = 21 + 0.25(24-21)[/tex]
[tex]P_{25} = 21 + 0.25(3)[/tex]
[tex]P_{25} = 21 + 0.75[/tex]
[tex]P_{25} = 21.75[/tex]
Solving (c): The 65th percentile
This is calculated as:
[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{9}{100}[/tex]
[tex]P_{65} = \frac{65 * 9}{100}[/tex]
[tex]P_{65} = \frac{585}{100}[/tex]
[tex]P_{65} = 5.85\th[/tex]
This is then calculated as:
[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]
[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]
[tex]P_{65} = 27 + 0.85(1)[/tex]
[tex]P_{65} = 27 + 0.85[/tex]
[tex]P_{65} = 27.85[/tex]
Solving (d): The 75th percentile
This is calculated as:
[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{9}{100}[/tex]
[tex]P_{75} = \frac{75 * 9}{100}[/tex]
[tex]P_{75} = \frac{675}{100}[/tex]
[tex]P_{75} = 6.75th[/tex]
This is then calculated as:
[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]
[tex]P_{75} = 28 + 0.75(30- 28)[/tex]
[tex]P_{75} = 28 + 0.75(2)[/tex]
[tex]P_{75} = 28 + 1.5[/tex]
[tex]P_{75} = 29.5[/tex]
h(1) = 9
h(2) = 3
h(n) =h(n − 2).h(12 - 1)
h(3) =
Answer:
mariana bedoya sanchez
Answer:
27
Step-by-step explanation:
it was right on khan academy
Given the linear function of 3x – 7y= 14, determine the ordered pair where the line
crosses the y axis. Remember to write your answer in form (x,y)
Answer:
(0, -2)
Step-by-step explanation:
Crosses the y-axis = find the y-intercept. Substitute x = 0 (if you draw a graph, you can see that the point where y crosses the y axis is always 0 for x) into the equation, and you get 3(0) - 7y = 14. Calculate, you get y = -2. Rewrite in coordinates form.
Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0.4. And F2 = A1. Round your answers to 2 decimals. Time 1 2 3 4 5 6 7 8 9 10 11 12 Sales 48 41 37 32 36 31 43 52 60 48 41.9 29.7
Answer:
The exponential smoothing forecast for period 13 = 39.68
Step-by-step explanation:
As given,
[tex]\alpha[/tex] = 0.4
Time Sales forcast
1 48
2 41 48
3 37 48 + [tex]\alpha {(41 - 48)}[/tex] = 45.2
4 32 45.2 + [tex]\alpha {(37 - 45.2)}[/tex] = 41.92
5 36 41.92 + [tex]\alpha {(32 - 41.92)}[/tex] = 37.95
6 31 37.95 + [tex]\alpha {(36 - 37.95)}[/tex] = 37.17
7 43 37.17 + [tex]\alpha {(31 - 37.17)}[/tex] = 34.70
8 52 34.70 + [tex]\alpha {(43 - 34.70)}[/tex] = 38.02
9 60 38.02 + [tex]\alpha {(52 - 38.02)}[/tex] = 43.61
10 48 43.61 + [tex]\alpha {(60 - 43.61)}[/tex] = 50.17
11 41.9 50.17 + [tex]\alpha {(48 - 50.17)}[/tex] = 49.30
12 29.7 49.30 + [tex]\alpha {(41.9 - 49.30)}[/tex] = 46.34
13 46.34 + [tex]\alpha {(29.7 - 46.34)}[/tex] = 39.68
∴ we get
The exponential smoothing forecast for period 13 = 39.68
plantear y resolver:
un señor compró 15 cajas de libro para venderlos en su negocios. si cada caja trae 35 cajas:
a)¿ cuantos libros compro?
b)¿ cuantos gastó si cada caja costó $258 ?
..........................
The value of a machine is decreasing by a constant percent rate each year. Which table could represent the possible value of the machine at the end of each year?
Answer:
C
Step-by-step explanation:
The possible value of the machine at the end of each year will be $3200
What is depreciation?Depreciation in economics is a measure of the amount of value an asset loses from influential factors affecting its market value.
Given that, the value of a machine is decreasing by a constant percent rate each year, we need to find the possible value of the machine at the end of each year,
So, we can say that this is a case of depreciation,
Since, the values are not given, let us consider the rate be 20% and the initial price of the machine be $16000.
We know that, the depreciation, formula is given by :
A = P(1-r)ⁿ
Where, A = final amount, P = initial amount, r = rate and n = time.
Since, the value is decreasing by a constant percent rate each year,
Therefore, every year the amount decreased will be same,
Finding for 1 year,
A = 16000(1-0.2)¹
A = 16000(0.8)
A = 12800
The amount decreased = 16000-12800 = $3200
Therefore, after each year the decreased amount will be $3200
Hence, the possible value of the machine at the end of each year will be $3200
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how much money would be $0.10 for every dollar of $400.00 be?
Answer:
$40
Step-by-step explanation:
400x0.10=40
Rewrite the polynomial as a product of the monomial and the polynomial. −15a^2bc+20ab^2c−25bc^3
Answer:
Step-by-step explanation:
15a²bc = 3·5·a²·b·c
20ab²c = 2²·5·a·b²·c
25bc³ = 5²·b·c³
greatest common factor: 5bc
(-15a²bc + 20ab²c - 25bc³)÷(5bc) = -3a² + 4ab - 5c²
-15a²bc + 20ab²c - 25bc³ = (-3a² + 4ab - 5c²)(5bc)
___
H is the midpoint of IJ and IH = 0.75 find HJ
4/40 in its simplest form
Answer:
1/10
Step-by-step explanation:
(4/40)/ (4/4) = 1/10
In each bag 1/4 pieces of fruit were raisins. 1/2 were bananas. There were 48 slices of dried banana. The remaining pieces of fruit was raspberries. How many pieces of raisins and dried raspberries were there in each bag
A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x
Answer:
i think it is a but i am not shore. Hope this helps
Step-by-step explanation:
Yesterday, Eddy ran 26.2 miles.
Today, he ran 10% of that.
How far did Eddy run today?
Answer:
Step-by-step explanation:
10% of 26.2 miles = 0.10×26.2 miles = 2.61 miles
Two unequal values that are compared using less than (<) and greater than (>) signs.
Answer:
I'm pretty sure it's D
Step-by-step explanation:
maths
An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69
Answer:
rupees 14.69
Step-by-step explanation:
rupees 14.69
I hope this answer correct
Please refer to the pictures below
Answer:
D
8-2
Step-by-step explanation:
System of inequalities are
x + y ≥ 7
8x + 7y ≤ 82
Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Answer:
1 and 2 adjacent
5 and 6 are linear pair
Step-by-step explanation:
Can you just solve these two problems I don’t get it. Please help
Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
PROBLEM 5:
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
PROBLEM 6:
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?
Answer:
$24
Step-by-step explanation:
$24
30 x .80 equals 24
Hope this helps!
Plz, Mark Brainliest!
Help needed with this asap
Answer:
f(-3) = 4(-3) + 5 = -12 + 5 = -7. the answer is #2.
si lanzas 3 monedas (de diferente denominación) se tienen 8 resultados. ¿cuantos habrá si se lanzan 4 monedas?
Answer:
la respuesta es 16vpor que aumenta 2
Sorry for the blur but I need help with this one objective: find all seven angles
Please help marking brainliest serious answers only
Answer:
d
Step-by-step explanation:
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please i just wanted to make friends cuz I'm alone BTW I'm 15yo
Answer:
Consecutive Interior
Step-by-step explanation:
When two lines are crossed by another line (called the Transversal) The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Can someone please tell me this equation?
Answer:
for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.
Step-by-step explanation:
The length of a rectangle is 2 cm less than 4 times its width. If its
perimeter is 36 cm, what is its area?
Answer:
Step-by-step explanation:
[tex]L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2[/tex]
Answer:
L=4W-2
P=2L+2W
36= 2(4W-2)+2W
36= 8W-4 +2W
36= 10W-4
36+4=10W
40=10W
40/10=W
W=4
L=4(4)-2
L=14
AREA =L(W)
AREA = 4X14
AREA =48 cm
A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,000 students apply, how many actually enroll?
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
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I need that urgently.
Answer:
5400 students
Step-by-step explanation:
well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls
Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT
Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps