Answer:
Tuesday's z-score was of -1.325.
The percentile rank of sales for this day was the 9.25th percentile.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
A department store, on average, has daily sales of $21,000. The standard deviation of sales is $3600.
This means that [tex]\mu = 21000, \sigma = 3600[/tex]
On Tuesday, the store sold $16,230 worth of goods. Find Tuesday's z score.
This is Z when X = 16230. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16230 - 21000}{3600}[/tex]
[tex]Z = -1.325[/tex]
Tuesday's z-score was of -1.325.
What is the percentile rank of sales for this day
This is the p-value of Z = -1.325.
Looking at the z-table, this is of 0.0925, and thus:
The percentile rank of sales for this day was the 9.25th percentile.
Suppose a sample of 1390 suspected criminals is drawn. Of these people, 514 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.
Step-by-step explanation:
Estimate of the proportion of people who were caught after being on the 10 Most Wanted list.
Number of people captured divided by the size of the sample.
We have that:
514 of 1390 people were captured. So
514/1390 = 0.37
The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.
Which angels are corresponding angles? Check all that apply
Answer:
Only A and B.
Step-by-step explanation:
Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same
Help me with this question
Answer:
D. The graph of g(x) is the graph of f(x) compressed vertically and then reflected over the x axis.
Step-by-step explanation:
A function shows the relationship between two or more variables.
If a function y = f(x) is reflected over the x axis, the x coordinate remain unchanged, but the y coordinate is negated. Hence the function y = f(x) becomes y = -f(x).
A function y = f(x) is compressed or stretched vertically by a factor k to give y = kf(x). If 0 < k < 1, the function is vertically compressed whereas if k > 1, the function is vertically stretched.
Given the function f(x) = x², the function is vertically compressed by a factor of 2/3 to form a function f(x)' = (2/3)x². The function is then reflected over the x axis to produce a function g(x) = (-2/3)x²
If the spin rate of the CD is 580 rpm what distance is traveled by the piece of dust (in radians) in 2.9 mins
Answer:
[tex]d=10568.76rads[/tex]
Step-by-step explanation:
From the question we are told that:
Angular Velocity [tex]\omega=580rpm=>60.74rads/sec[/tex]
Time [tex]t=2.9mins=>174sec[/tex]
Generally the equation for distance d is mathematically given by
[tex]d=\omega*t[/tex]
[tex]d=60.74*174[/tex]
[tex]d=10568.76rads[/tex]
Solve the inequality: 13 + 2 v − 8 + 6 > − 7 − v
Answer:
V< 6
Step-by-step explanation:
11+2v > -7-v
3v> -18
v<6
Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002)
Answer:
Answer: 3) R(n) = 1200(1.002)n - 100n
Step-by-step explanation:
After n months, which function represents Chet’s net worth, R(n)?
(1) R(n) = 1200(1.002)n + 100n
(2) R(n) = 1200(1.002)12n + 100n
(3) R(n) = 1200(1.002)n - 100n
(4) R(n) = 1200(1.002)12n - 100n
Answer: 3) R(n) = 1200(1.002)n - 100n
Net worth is the amount of his savings minus his debt,
Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = 30
Answer:
y=(x/2)+5
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.
y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.
Write an equation of the line that has a slope of -3 and y-intercept 7 in slope-intercept form.
Answer:
Step-by-step explanation:
No. 1 “The printing of more
currency notes will increase inflation.”
The diagram shows a right-angled triangle.
xo
26 cm
17 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answer:
Diagram? I don't see a diagram.
Where is the diagram?
Step-by-step explanation:
cách hiếp dâm công an ko bắt
Answer:
.
Step-by-step explanation:
bbbbbbbbbbbbbbbbbvv
Six consecutive numbers add up to a total of 69.what is the highest of these numbers?
Answer:
14
Step-by-step explanation:
9+10+11+12+13+14=69
The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]
Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]
Taking the sum :
[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]
[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]
Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]
Learn more : https://brainly.com/question/15974141
Find the missing angle x. Show your work.
Find the volume of a rectangular solid with the given dimensions: length 8 feet, width 17 feet, height 10 feet. What is the volume?
Answer: 1360 cubic meter
Step-by-step explanation:
Volume of solid= Length*width*height
=8*17*10
=1360 cubic meter
Solve:
n = 8
4
O n = 2
0 n = 12
Ô n = 24
0 n = 32
Answer:
1/4 n = 8
n = 8 * 4
n = 32
so option 4 i.e.
n = 32. is the ans
Answer:
n=32
Step-by-step explanation:
Given :
[tex]\frac{1}{4} n=8[/tex]
Now,
Value of n can be calculated as :
[tex]\frac{1}{4} n=8[/tex]
n=8×4
n=32
Therefore, option (D) is correct.
One hundred forty-eight ten thousandth is
5. A car travels 40 kilometers at an average speed of 80 km/h and then travels 40
kilometers at an average speed of 40 km/h. The average speed of the car for this 80 km
trip is:
A) 40 km/h
B) 45 km/h
48 km/h
D) 53 km/h
E) 80 km/h
Answer:
D
Step-by-step explanation:
Total distance traveled is 80KM.
Total time taken is 1.5 hrs(0.5+1)
Average Speed = 80/1.5
=53, 3
Can anyone help me please ????
Hey there! The topic for this problem is Limit of Function!
As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.
[tex] \large \boxed{lim_{x \longrightarrow a} f(x)}[/tex]
We call this, "The limit of f(x) when x approaches a."
Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.
So from the question, we receive:
[tex] \large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}[/tex]
Next step is to substitute x = 2 in the function.
[tex] \large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}[/tex]
Evaluate the value.
[tex] \large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}[/tex]
Cancel the limit out and there you have it!
[tex] \large \boxed{ - 3}[/tex]
Answer
The limit of quadratic function when x approaches 2 is -3.Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.
Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!
Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.
Find the 3rd term in the expansion of (a + b)^7 in simplest form.
9514 1404 393Answer:
21·a^5·b^2
Step-by-step explanation:
The k-th term is ...
C(7, k)·a^(7-k)·b^k . . . . . where k counts from 0 to n
Then k=2 for the third term. The coefficient of it is ...
C(7, 2) = 7!/(2!(7-2)!) = 7·6/(2·1) = 21
The third term is ...
21·a^5·b^2
Ricardo earned $52,000 last year. He just received a 3% salary increase. What is his new yearly salary?
=======================================================
Explanation:
Having the salary increase by 3% means we can use the multiplier 1.03
Think of it like 100% + 3% = 1 + 0.03 = 1.03
The new salary is 52,000*1.03 = 53,560 dollars
----------------
The slightly longer way to do this is to first figure out how much 3% of 52,000 is
3% of 52,000 = 0.03*52,000 = 1560
Ricardo earns $1560 more dollars on top of the salary of $52,000
So overall his new salary is $1,560 + $52,000 = $53,560
----------------
Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.
O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° respectively. How Far East of R is S
The more accurate value is 12.6274169979696, though it's not fully exact.
Round this however you need to.
The exact distance 32*sin(45) - 10 meters.
===========================================================
Explanation:
Refer to the diagram below.
I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.
Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.
In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.
We can use the sine ratio to say that
sin(angle) = opposite/hypotenuse
sin(A) = BR/AR
sin(30) = m/20
m = 20*sin(30)
m = 10
-----------------------------------
While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.
Notice how
angle RAB + angle RAC + angle CAS = 30+60+45 = 135
The remaining angle DAS is 180-135 = 45 degrees.
When focusing on triangle DAS, we can say
sin(A) = DS/AS
sin(45) = n/32
n = 32*sin(45)
n = 22.6274169979696
This value is approximate.
----------------------------------
Subtract the values of m and n
n - m = 32*sin(45) - 10 = exact distance
n - m = 22.6274169979696 - 10
n - m = 12.6274169979696
n - m = 12.6274 = approximate distance
Round it however you need to. I'm choosing to round to four decimal places.
So we see that point S is roughly 12.6274 meters east of point R.
If your teacher wants the exact distance, then stick with 32*sin(45)-10.
Write .125 as a fraction reduced to lowest terms.
Answer:
1/8
Step-by-step explanation:
Hope this helps you! <33
Answer:
1/8
Step-by-step explanation:
We all know 1/2 is 0.5, right?
If you split that in half again, you get 0.25 as 1/4.
If you divide that again by two, you get 1/8 as 0.125
The area of a circle is 42.29m2.
Find the length of the diameter rounded to 1 DP.
Step-by-step explanation:
area of a circle=πr²
=42.29m²
42.29m²=πr²
then find for r, multiply it by two to obtain the diameter of the circle
seventy four lakh nine thousand eleven in numeral form
Seventy Four Lakh , Nine Thousand And Eleven=
7409011Please answer my question step be step
9514 1404 393
Answer:
z = 20
m∠A = 70°
Step-by-step explanation:
Step 0: read and understand the question. Identify the given information and the information requested.
Step 1: consult your knowledge of inscribed quadrilaterals to determine that opposite angles are supplementary.
Step 2: identify angles A and C as being marked with expressions in z.
Step 3: use those expressions and the relation in Step 1 to write an equation.
A + C = 180°
(4z -10)° +(10 +5z)°= 180°
Step 4: solve for z.
9z = 180 . . . . simplify, divide by °
z = 20 . . . . . . divide by 9
Step 5: use the relation between z and the measure of angle A to answer the question.
m∠A = (4z -10)° = (4·20 -10)°
m∠A = 70°
Step 6: check your answer. This can be done by making sure that angle C is supplementary to angle A.
C = (10 +5z)° = (10 +5·10)° = 110° = 180° -70° ∴ answer checks OK
A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement until a blue ball is drawn. What is the probability that Jack draws the blue ball?
Answer:
the probability that Jack draws the blue ball is 0.38539
Step-by-step explanation:
Given the data in the question;
box contains
blue balls = 5
red balls = 8
Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement
Now,
on the first attempted;
⇒ ( 8/13) × ( 5/12) = 10/39
on the second attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143
on the third attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287
on the fourth attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287
so we add everything;
⇒ 10/39 + 14/143 + 35/1287 + 5/1287
= 0.38539
Therefore, the probability that Jack draws the blue ball is 0.38539
Larry is paid 8.5% of all sales plus 4.25% of sales over $6800. Find Larry's gross pay from total sales of $12,200.
Answer:
$1266.50Step-by-step explanation:
Larry's gross pay is:
12200*8.5/100 + (12200 - 6800)*4.25/100 = 1037 + 229.50 = 1266.50We can find Larry's gross pay,
→ 12200×8.5/100+(12200-6800)×4.25/100
→ 1037 +229.50
→ 1266.50
Hence, $ 1266.50 is the solution.
What is the square root of 13?
Answer:
3.605551275
Step-by-step explanation:
100 Brainly points!!!!
In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.
Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•
& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).
Answer:
Point A’ is at (-2,-2)
& point D' is at (4,-2)
Step-by-step explanation:
Point A’ => (-1×2, -1×2) => (-2 , -2)
Point D' => (2×2 , -1×2) => (4 , -2)
A is at (-1,-1)
So A' is at
2(-1,-1)(-2,-2)D is at
(2,-1)D' is at.
2(2,-1)(4,-2)Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-
Answer:
I think about point Y ......
If planes A and B intersect, point w describes the intersection of line m and line n.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
In the given figure, the planes A and B intersected.
We have to find the point where the line l and line m intersects.
The intersection of a line and a line can be the empty set, a point, or another line.
Two straight lines will intersect at a point if they are not parallel.
The point of intersection is the meeting point of two straight lines.
The lines m and line n are intersected at the point w.
Hence, if planes A and B intersect, point w describes the intersection of line m and line n.
To learn more on Coordinate system click:
https://brainly.com/question/29762404
#SPJ7
......................
Answer:
the distance between the 2 points is 6.4 units.
Step-by-step explanation:
point 1 has the coordinates (-4, -2).
point 2 has the coordinates (1, 2).
the distance between both points is the Hypotenuse of the right- angled triangle of the coordinate difference lines in parallel to x- and y-axis.
so, how long is the difference in x dimension ?
and his long is the difference in y dimension ?
these are the sides of the triangle.
the difference in x dimension :
1 - -4 = 1 + 4 = 5
the difference in y dimension :
2 - -2 = 2 + 2 = 4
P1P2² = 4² + 5² = 16 + 25 = 41
P1P2 = sqrt(41) = 6.4