Answer:
Step-by-step explanation:
To solve for this we would be using z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the fraction of numbers between 80 and 120
let x1 = 80 and x2= 120 with the mean μ = 100 and standard deviation σ = 5.
z1 = (x1 - μ) / σ = (80-100) / 5 = -20/5 = -4
z2 = (x2 - μ) / σ = (120 - 100) / 5 = 20/5 = = 4
From tables, P(z <= -4) = 0.00003
P(z <= 4) = 0.99997
Then, the probability would give us, P(-4 ≤ z ≤ 4) = 0.99997 - 0.99997 =
I NEED HELP CAN SOMEONE PLEASE ANSWER THIS ASAP PLEASE!!!
Answer:
y = 5x - 3
Step-by-step explanation:
ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.
List below are the speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, CA. Use the sample data to construct a 99% confidence interval estimate of the population standard deviation: speeds 62, 58, 58, 56, 60, 53, 58
Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;
[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]
s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex]
Where:
[tex]\bar x[/tex] = Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
[tex]\bar x[/tex] = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s = [tex]\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }[/tex] = 2.854
The test statistic, derived through computation, = ±3.707
Which gives;
[tex]C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }[/tex]
[tex]\sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{0.872}}[/tex]
1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
Help please, Topic: Arrangments
Answer: B: 120
Step-by-step explanation:
You multiply these choices together to get your result: 5 x 4 x 3 x 2 (x 1) = 120.
Since there are 5 choices to choose from.
Hurry please!!!!!!!!❗️❗️
Which situations can represent the expression n+2? Check all that apply
Ramya's grade increased by two points
the difference between Escher's highest score and two
the number of chapters Wally read plus two more
two fewer than the maximum number of absences Ellie is allowed
two added to Allison's age.
the sum of Mikel's height and two
Answer:A,C,E,i think F
Step-by-step explanation:
Express 3*(4*5) as a common fraction given a*b= (ab)/(a+b) .
Sorry, not sure I understand. (ab)/(a+b) is NOT equal to a*b, as a*b is the same thing as ab.
Which inequality is shown in this graph?
Answer:
B.
Step-by-step explanation:
y- int. = - 2
Slope is negative because the line is going down. So, it is B. or C.
The shaded area is under the line, so it is ≤. The answer is B.
If it takes 13 cup of flour to make 14 of a cake, how many cups of flour are needed to make a whole cake? i need help plz
Answer:
1-1/3 if its 14
1/52 if its 1/4
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
hope its helpful to uh..
PLSSS HELP!!! I really need help with this i have tried everything! Please provide instructions so I could learn how to do it! You are interested in finding a 98% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 11 randomly selected college students. Round answers to 3 decimal places where possible. 9, 1, 2, 2, 9, 10, 1, 3, 7, 4, 2 a. To compute the confidence interval use a ? distribution. b. With 98% confidence the population mean number of days of class that college students miss is between ? and ? days. c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population mean number of missed class days and about ? percent will not contain the true population mean number of missed class days.
Step-by-step explanation:
a. When the sample size is below 30 or the population standard deviation is not known, use a t distribution rather than a normal distribution.
b. The confidence interval is:
CI = x ± CV × SE
where x is the sample mean,
CV is the critical value (in this case, t).
and SE is the standard error (the sample standard deviation).
For the data given, the mean is x = 4.545, and the standard deviation is SE = 3.503.
There are 11−1 = 10 degrees of freedom, and the confidence level is 98%. For a t-table, the critical value is CV = 2.764.
So the confidence interval is:
CI = 4.545 ± 2.764 × 3.503
CI = (-5.1, 14.2)
c. The confidence level is 98%, so 98% of these confidence intervals will contain the true population mean, and 2% will not.
In the diagram of circle A, what is m?
Answer:
upload ur diagram so we can solve it for u
Find the equation of the line: With an x intercept of 4 and a y intercept of 1. PLEASE HELP I ONLY HAVE 15 MINUTES LEFT
Answer:
y = -1/4x + 1
Step-by-step explanation:
that is (0,1) and (4,0)
gradient
can be -1/4
c can be y = mx + c
we'll take anyone of the equation
1 = 0 + c
c = 1
Which expression is equivalent to (One-sixteenth) Superscript negative 4? (–16)4 164 RootIndex 4 StartRoot one-sixteenth EndRoot Negative (one-sixteenth) Superscript negative 4
Answer:
The simplified form of the expression is (16)⁴ or 65536
Step-by-step explanation:
The given expression to us is:
(1/16)⁻⁴
As the options given in this question are not clear enough, I'll just simpify the expression which you can compare with the given options in the question and find the best option as an answer.
We know that a negative power of number can be converted into a positive one by taking the reciprocal of that number.
It can be written as:
(16)⁴
which can be further simplified to:
65536
Answer: the answer is B
Step-by-step explanation:
16^4
what is the volume of a right triangle with the dimesions 24 20 12
Answer:
Assuming you mean area the answer is 120
Step-by-step explanation:
a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12
so 24 is the hypontenuse (longer side)
the two perpendicular sides are 20 and 12
the area for a triangle is b*h*1/2
the base (20) times the height (12) is 240. 240 times 1/2 is 120.
Hi can someone plz help me with this question
Answer: n/4-1
Step-by-step explanation:
n/4 means how much each friend would have eaten if the pizza was equally divided and - 1 references to the one slice less he ate.
which of the following represents a term from 3x^2+8x-10
Answer:
3x^2 or 8x
Step-by-step explanation:
For which value of b can the expression x^2+bx+18 be factored?
Answer:
b=9
Step-by-step explanation:
HURRYYYYY FOR 25 POINTSSS Once simplified, which of the expressions below is equal to 2x+8? Select all that apply. A) 4(2x+8) B) 2(x+4) C) 3(3x+5)−7x–7 D) 6x–4–4x+4
Answer:
B) 2(x+4)
C) 3(3x+5)−7x–7
Step-by-step explanation:
B) 2(x+4) = 2x + 8
C) 3(3x+5)-7x-7
= 9x +15 - 7x - 7
= 9x - 7x + 15 - 7
= 2x + 8
Answer:
B and C
Step-by-step explanation:
1. B is one of the answers because when you distribute the 2, the expression simplifies to 2x+8.
2. (C) When you distribute the 3 through the parenthesis, the expression simplifies to 9x+15-7x-7. Next, subtract the like terms. 9x-7x=2x and 17-7=10. Now this simplifies the expression to 2x+8.
Write a direct variation equation that relates x-miles and y- kilometers.
Answer:
Step-by-step explanation:
is this the whole question or is there answers i will edit this once i know
work out the length of AB. give your answer to 3 significant figures.
Answer:
Distance formula = √(x₂ - x₁)² + (y₂ - y₁)²
(x₁, y₁) = (1, 7) and (x₂, y₂) = (10, 3)
AB = √(10 - 1)² + (7 - 3)²
= √9² + 4²
= √81 + 16
= √97
= 9.85
Determine the measure of ∠A. ANSWWER: 1) 192° 2) 88° 3) 84° 4) 168°
Answer:
3) 84°
Step-by-step explanation:
The angle formed by a chord and a tangent measures half of the intercepted arc.
m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg
Answer:
84 degrees
Step-by-step explanation:
which side of the quadrilateral abcd
has a length equal to 10?
Answer:
AD
Step-by-step explanation:
You must measure the difference between A and D. To get to this answer you should try all available combinations.
Which statement is true about the given function?
fx) > 0 over the interval (-0,3).
f(x) > 0 over the interval (-:-).
f(x) <0 over the interval (-0,3).
f(x) <0 over the interval (- : -).
Answer:
Option C.
Step-by-step explanation:
If the graph of a function f(x) lies above the x-axis, then f(x) > 0.
If the graph of a function f(x) lies below the x-axis, then f(x) < 0.
From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.
Before x=3 the graph lies below the x-axis. So,
[tex]f(x) < 0[/tex] over the interval [tex](-\infty,3)[/tex].
After x=3 the graph lies above the x-axis. So,
[tex]f(x) > 0[/tex] over the interval [tex](3,\infty)[/tex].
Therefore, the correct option is C.
Lines m and n are parallel. Lines m and n are parallel. Lines s and t intersect lines m and n to form a triangle. The top angle of the triangle is (2 x) degrees. At the intersection of lines s and n, the top left angle is 100 degrees. At the intersection of lines n and 7, the bottom left angle is 70 degrees. What is the value of x? 10 15 30 35
Answer:
B: 15
Step-by-step explanation:
I got it right on Edge
The value of 'x' in the top angle is 5 degrees.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.
We know the sum of all the interior angles in a triangle is 180°.
Therefor, 2x + 100° + 70° = 180°.
2x = 10°.
x = 5°.
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IF YOU ANSWER THE QUESTIONS ALL CORRECT I WILL MARK YOU BRAINIEST!
1. What is the interquartile range of the data set shown? {3,4,4,5,7,10,11,12,15}
2. What is the upper quartile of this data set? {66,66,67,69,70,72,72,73,75}
3. What is the lower quartile of the following data set? {23,23,24,27,31,33,34,38,40}
Answer:
IQR = 7.5
UQ = 72
LQ = 24
Answer:
1. 7.8888888888889
2. 70
3.23,23,24,27,31,33,34,38,40
Are these ratios equivalent?3 feet every 4 seconds,15 feet every 20 seconds.
Answer:
Hey there!
These ratios are equivalent.
The given ratio is 3:4
If we multiply both sides by 5, we will get 15:20.
Thus, the ratios are equivalent.
Let me know if this helps :)
Answer:
What does the tense of the underlined verb reveal about the subject?
The event took place in the past continuously but concluded prior to another past event.
The event took place in the past continuously.
The event concluded prior to another past event.
The event has been completed.
Step-by-step explanation:
Answer all please number 2
Answer:
(a) 26.43%
(b) 189 seconds
Step-by-step explanation:
(a) Data
mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s standard deviation, sd: 19 svalue of interest, x: 4 minutes = 4*60 = 240 sZ-score is calculated as follows:
z = (x - mean)/sd
z = (240 - 228)/19
z = 0.63
We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)
From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%
(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.
z = (x - mean)/sd
-2.055 = (x - 228)/19
(-2.055)*19 + 228 = x
x = 189 s
Please Help Soon! A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece?
Answer: 6 feet
Step-by-step explanation:
Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts
Let assume that the 4 rectangles will be of the same area since they are congruent.
The area of the big rectangle will be
Area = 4 × 8 = 32
Divide 32 by 4
32/4 = 8
Suggest the two possible numbers in which their product will be equal to 8
4 and 2 or 8 and 1
If 4 and 2
The perimeter = 2L + 2B
Substitute the 4 and 2 into the formula
Perimeter = 2(4) + 2(2)
Perimeter = 8 + 4
Perimeter = 12
If 8 and 1
Perimeter = 2(8) + 2(1)
Perimeter = 16 + 2 = 18
The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:
18 - 12 = 6 feet
We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilateral is shown below. Seven distinct points are chosen on a circle. We draw all $\binom{7}{2} = 21$ chords that connect two of these points. Four of these $21$ chords are selected at random. What is the probability that these four chosen chords form a bow-tie quadrilateral?
Four chosen chords form a bow-tie quadrilateral 2210 .
What is a quadrilateral?A quadrilateral is a polygon having four sides, four angles, and four vertices. The word 'quadrilateral' is derived from the Latin words 'quadri,' which means four, and 'latus', which means side. The above image is an example of a quadrilateral.The bowtie, or crossed rectangle, is a nonconvex semi-uniform quadrilateral with the same vertices as a rectangle but with two of the original sides removed and with the original's diagonals in place instead.Given,
We are aware that a quadrilateral requires four vertices (or points on the circle). The cross can always be connected in one of two ways: horizontally or vertically. My understanding of combinations is inadequate, but we can deduce that picking four points from a possible seven equals 21. Four points can be used to create 21*2 = 42 "bow-tie quadrilaterals" on the circle by multiplying the two methods to join those lines (again, horizontally and vertically). Since there are 2210 possible combinations of four chords out of a possible 21 chords, the probability is 42/2210, and we just need to reduce that fraction.Therefore, Four chosen chords form a bow-tie quadrilateral 2210 .
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The probability that the four chosen chords form a bow-tie quadrilateral is: 60%.
First, let's calculate the total number of ways to choose four chords out of the 21 available chords.
= 21!/ 4! (21-4)!
= 21! / 4! 17!
= 5985
The number of ways to choose two intersecting chords can be represented as [tex]\binom{7}{2}.[/tex]
= 7! / (7-2)!
= 7!/ 5! 2!
= 7 x 6/ 2
= 21
However, we also need to account for the fact that we are choosing four chords in total.
So we need to choose two more chords from the remaining 19 chords.
C(19, 2)= 19!/{2!(19-2)!
= 19! / 2! 17!
= 19 x 18 /2
= 171
Now, the number of ways to choose four chords that form a bow-tie quadrilateral
= 21x 17
= 3591
Therefore, the probability that the four chosen chords form a bow-tie quadrilateral is:
= [tex]$\frac{\text{Number of ways to choose four chords forming a bow-tie quadrilateral}}{\text{Total number of ways to choose four chords}}[/tex]
= 3591/5985
= 0.600
So, the probability is 0.600, or 60%.
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Aiyanna wrote the ratio 3:5 to compare the number of pairs of shorts that she owns to the number of pairs of jeans that she owns. Which is equivalent to Aiyanna's ratio?
Answer:
3/5
3:5 and 3/5 and 0.6 are the same thing just in different forms
You can convert by putting it into a fraction and dividing the fraction
3:5 becomes 3/5 and 3 divided by 5 = 0.6
Hope this helps
Step-by-step explanation:
What is the 7th term in the sequence of square numbers?
Answer:
49
Step-by-step explanation:
The n th term of square numbers is calculated using
[tex]a_{n}[/tex] = n²
Thus for the 7 th term, let n = 7 , that is
a₇ = 7² = 49