Answer:
0.0384
Step-by-step explanation:
Given that:
Mean (m) = 6.0
Standard deviation (s) = 2.0
Sample size (n) = 50
Probability that average amount is greater than 6.5
P(x > 6.5)
Obtain the Zscore using the relation :
Zscore = (x - m) / (s / sqrt(n))
Zscore = (6.5 - 6.0) / (2 / sqrt(50))
Zscore = 0.5 / 0.2828427
Zscore = 1.7677
Zscore = 1.77
P(Z > 1.77) = 1 - P(Z < 1.77)
P(Z > 1.77) = 1 - 0.9616
P(Z > 1.77) = 0.0384
Answer:
4.2%
Step-by-step explanation:
n=50, X=6.0, δ=2.0
Z=[tex]\frac{6.5-6.0}{2.0}[/tex] = 0.25
F(Z)= 4.2% based on the chart in the FE Handbook
Fran used a graphics program to reduce a
digital image. The original dimensions of the
image were 20 cm wide by 12 cm long. She
used a scale factor of 0.6. What are the
dimensions of the reduction?
Answer:
The reduced dimensions are:
Width = 12 cm
Length = 7.2 cm
Step-by-step explanation:
Original dimensions of Image:
Width = 20 cm
Length = 12 cm
Fran reduced the dimensions using a scale factor of 0.6
We need yo find dimensions of reduction.
We would multiply the original dimensions by 0.6 to find the new dimensions.
So, Width = 20 * 0.6 = 12
length = 12 * 0.6 = 7.2
So, the reduced dimensions are:
Width = 12 cm
Length = 7.2 cm
Which graph shows the solution to the inequality -3x-720?
Answer:
x>-9
Step-by-step explanation:
The given inequality is :
-3x - 7 < 20
We need to find the solution of the inequality using graph.
-3x - 7 < 20
Add 7 to both sides
-3x-7+7 < 20+7
-3x <27
x>-9
Hence, the attatched graph shows the solution of the given inequality.
On Saturday, Mrs. Colton buys 2
soda cans for $1.50. On Sunday.
she spends $2.52 on a 4-pack.
Which is a better deal?
Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!
I'll give brainliest if ur correct
Answer:
(2, - 3.5)
Step-by-step explanation:
K(3, - 3)
L(2, 1)
[tex]m_{KL}[/tex] = [tex]\frac{-3-1}{3-2}[/tex] = - 4
Slope of perpendicular line is [tex]\frac{1}{4}[/tex]
y - 1 = - 4(x - 2) ⇔ y = - 4x + 9
Equation of the perpendicular to KL from point M(4, - 3) is
y - (- 3) = [tex]\frac{1}{4}[/tex] (x - 4) ⇔ y = [tex]\frac{1}{4}[/tex] x - 4 ....... (1)
L(2, 1)
M(4, - 3)
[tex]m_{LM}[/tex] = [tex]\frac{-3-1}{4-2}[/tex] = - 2
Slope of perpendicular line is [tex]\frac{1}{2}[/tex]
y - 1 = - 2(x - 2) ⇔ y = - 2x + 5
Equation of the perpendicular to LM from point K(3, - 3) is
y + 3 = [tex]\frac{1}{2}[/tex] (x - 3) ⇔ y = [tex]\frac{1}{2}[/tex] x - 4.5 ....... (2)
The coordinates of the intersect of lines (1) and (2)
[tex]\frac{1}{2}[/tex] x - 4.5 = [tex]\frac{1}{4}[/tex] x - 4 ⇒ [tex]\frac{1}{4}[/tex] x = 0.5 ⇒ x = 2
y = [tex]\frac{1}{2}[/tex] (2) - 4.5 ⇒ y = - 3.5
(2, - 3.5)
what is the diameter of a circle of area 3850 m square
Answer:
70.01
steps by-step explanation:
drag the dot (-5,-9),amd then select its location on the coordinate plane .
Answer:
The diagram is attached below which shows the location of the point (-5, -9)
Step-by-step explanation:
Given the point
(-5, -9)The location of the point (-5, -9) can be determined by locating the point at x=-5 and y = -9.
Please check the attached diagram where I located the point (-5, -9).
From the attached diagram, it is clear that:
Moving 5 units to the left from the origin (0, 0) and then moving 9 units down would get us to the location x = -5 and y = -9.
The diagram is attached below which shows the location of the point (-5, -9)
I GIVEEEEEE BRAINLILSTER
Answer:
D 54 I did this
Step-by-step explanation:
Your boss sends you an email and explains that your fourth location is to Ellis Island to visit the Statue of Liberty. She emails you a scale drawing that one of the architectures in Spain created. On the scale drawing, a scale of 1/61 <—(a fraction) (inches to feet) was used, the height of the statue was 5 inches. How tall is the Statue of Liberty?
(Please explain thoroughly step by step on how you solved the problem.If you can,please provide an image on how you solved the problem.)
Answer:
305 feet
Step-by-step explanation:
We can name the actual height x so we get the equation [tex]\frac{1}{61}x = 5[/tex]. Multiply both sides by 61 to get [tex]x=305[/tex]. The answer would be feet because it wouldn't make sense if the statue of liberty was 305 inches
10 x 1/2+(-6)(-3) simplified in steps
Answer:
23
Step-by-step explanation:
Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)
10*1/2+(-6)(-3)
10*1/2+18
5+18
23
Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?
Answer:
5.5 hours
Step-by-step explanation:
Given that :
Speed of A = 60 kmphr
Speed of B = 80 kmphr
After what time will distance = 770 km
Speed * Time = Distance
Let time = x
Distance A + Distance B = 770
(60 * x) + (80 * x) = 770
60x + 80x = 770
140x = 770
x = 770 / 140
x = 5.5 hours
geometry help please!!
Answer:
a. 75°
Step-by-step explanation:
[tex] m\angle A = m\angle C... (given) [/tex]
[tex] (2x+15)\degree = (3x - 15)\degree [/tex]
[tex] 2x+15 = 3x - 15 [/tex]
[tex] 2x - 3x=-15-15[/tex]
[tex] - x=-30[/tex]
[tex] x=30[/tex]
[tex]\because m\angle A = (2x+15)\degree [/tex]
[tex]\therefore m\angle A = (2\times 30+15)\degree [/tex]
[tex]\therefore m\angle A = (60+15)\degree [/tex]
[tex]\therefore m\angle A = 75\degree [/tex]
John runs a computer software store. Yesterday he counted 137 people who walked by the store, 56 of whom came into the store. Of the 56, only 25 bought something in the store.
A) Estimate the probability that a person who walks by the store will enter the store.B) Estimate the probability that a person who walks into the store will buy something.C) Estimate the probability that a person who walks by the store will come in and buy something.D) Estimate the probability that a person who comes into the store will buy nothing.
Answer:
John's Computer Software Store
A) Probability that a person who walks by the store will enter the store:
= 41%
B) The probability that a person who walks into the store will buy something:
= 45%
C) The probability that a person who walks by the store will come in and buy something:
= 18%
D) The probability that a person who comes into the store will buy nothing:
= 55%
Step-by-step explanation:
a) Data and Calculations:
Number of people who walked by the store yesterday = 137
Number of those who came into the store = 56
Number of people who came into the store and bought something = 25
Number of people who came into the store and bought nothing = 31 (56 - 25)
A) Probability that a person who walks by the store will enter the store:
= 56/137
= 0.4087
= 0.41
= 41%
B) The probability that a person who walks into the store will buy something:
= 25/56
= 0.4464
= 0.45
= 45%
C) The probability that a person who walks by the store will come in and buy something:
= 56/137 * 25/56
= 0.41 * 0.45
= 0.1845
= 0.18
= 18%
D) The probability that a person who comes into the store will buy nothing:
= 31/56
= 0.5536
= 0.55
= 55%
846.27 divided by 0.22
Answer:
3,846.68182
Step-by-step explanation:
hope it helps
Determine the x-intercept of the line whose equation is given: Y = 4x + 2
a. (0, 2)
b. (-2, 0)
c. (0, - 1/2
d. (- 1/2, 0)
Answer:
d
Step-by-step explanation:
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter.
Answer:
[tex]600\ rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]
[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]
[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]
Whats the difference between 24 and -14.
A family on vacation traveled 180 miles in 3 hours. If their rate of speed was constant,
how many miles did they travel in one hour?
O 180 miles
O 540 miles
60 miles
54 miles
Answer:
Step-by-step explanation:
180/3=60
so 60 miles
Answer:
60 miles
Step-by-step explanation:
Since their speed is constant, you just do 180 miles divided by 3 hours to get 60 miles per hour.
Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the nTh term of the sequence 2/5,3/6,4/7,5/8
Step-by-step explanation:
3/6 - 2/5 = 0.1
4/7 - 3/6 = 0.071
5/8 - 4/7 = 0.053
Since there is no common difference d, the sequence is not arithmetic.
(3/6) / (2/5) = 1.25
(4/7) / (3/6) = 1.14
(5/8) / (4/7) = 1.09
Since there is no common ratio, the sequence is not geometric.
Hence the sequence is neither an AP or GP.
Formula for nth term: (n + 1)/(n + 4).
Answer:
Try!
Step-by-step explanation:
Write -4.74 as a mixed number
Answer:
4.75 = 475/100 = 19/4 = 4 3/4
Approximate value(s):
4.75 =~ 4 (error = -15.789473%)
[tex] - 4.74[/tex]
[tex] = - 4 + 0.74[/tex]
[tex] = - 4 + \frac{74}{100} [/tex]
[tex] = - 4 + \frac{37}{50} [/tex]
[tex] - 4 \frac{37}{50} [/tex]
In the triangle below, what is the length of BC ?
need help?!
Answer:
12
Step-by-step explanation:
just look at the other side since both are the same
In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Answer:
There are 1 terms.
5x+kr has 3 terms
Step-by-step explanation:
-3g has 1 term. 12 has none. so it is 1
5x has 1 term and kr has 2 terms and 2+1 is 3 terms.
Javier is considering two options for college.
Option A: Complete the first two years of schooling at a community college
and then transfer to a university.
Option B: Complete all four years of schooling at the university.
Community College Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$3,000
$1,000
Room & Board
$1,000
University Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$10,000
$15,000
Room & Board
Work-Study
$11,500
$4,000
Which statement about the cost of the options is true?
Option B will save him $1,000.
Option B will save him $2,000.
Option A will save him $14,000.
Option A will save him $17,500.
Answer:
A
Step-by-step explanation:
I got it right in Edginuity.
Answer:
A
Step-by-step explanation:
The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.
Answer:
The best model is hypergeometric distribution.
Step-by-step explanation:
The probability would be best modeled with hypergeometric distribution.
Hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, which is often employed in random sampling for statistical quality control.
The hypergeometric distribution differs from the binomial distribution in the lack of replacements.
Thus, the best model is hypergeometric distribution.
HELP PLEAASE I AM GOING TO EXPLODE WITH SAD WILL GIVE BRAINLIEST
Answer:D
Step-by-step explanation:i don’t know I’m guessing
the standard ratio of a photo's width to it's length is 2/3. what is the length of a photo that has a width of 14 inches?
A. 9.3
B. 17
C. 20
D.21
Answer:
The answer is D.21.
Step-by-step explanation:
You have to divide 14 by 2/3 and you get 21.
PLZ mark me Brainliest!
Which statement is true about the value of 1-512
It is the distance that -5 is from 0 on the number line,
It is the distance that -5 is from 5 on the number line.
O It is less than 5.
It is greater than 5.
Answer:
It is the distance that -5 is from 0 on the number line
Step-by-step explanation:
I learned this last month
Hope this helps
Answer:
A. It is the distance that -5 is from 0 on the number line.Step-by-step explanation:
The question should read:Which statement is true about the value of |-5| ?SolutionThis is about absolute value. It is always positive. The choices:
A. It is the distance that -5 is from 0 on the number line.
Correct, the distance 0 to -5 is actually 5 and its true.B. It is the distance that -5 is from 5 on the number line.
Incorrect, it would make 5 - (-5) = 10 unitsC. It is less than 5.
Incorrect, its exactly 5D. It is greater than 5
Incorrect, its exactly 5.33.7 rounded to the nearest ten
Help me I am stuck ❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❕❗️
Answer:
8. x=-5 and y=7
9. x=-2 and y=0
10. x=-6 and y=-10
11. x=8 and y=-4
12. x=9 and y=-9
13.x=4 and y=10
14. x=5 and y=-7
Step-by-step explanation:
Answer:
8. x=-5 and y=7
9. x=-2 and y=0
10. x=-6 and y=-10
11. x=8 and y=-4
12. x=9 and y=-9
13.x=4 and y=10
14. x=5 and y=-7
Step-by-step explanation:
Four points are labeled on the number line.Which point represents the value |-1 1/2|?
Answer: -1
Step-by-step explanation:
i really don't know but i was taking a test and i guessed it and it was right
Answer:
Point Q -0.5
Step-by-step explanation:
Negative 1/2 is equal to -0.5
Best answer gets Brainliest!!!
Answer:
the answer is b
Step-by-step explanation:
please brainliest
Answer:
c
Step-by-step explanation: