Which ordered pair is a solution to - 8x + 6y <3x - 30?
A (-6, -16)
B (6, -6)
© (69)
D (2, 3)
Answer:
B ( 6,-6) ..
I think I'm correct
Which is closest to the height of a pine tree?
he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches
Answer:
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Distribution of the difference in height between men and woman:
Applying the concept above:
[tex]\mu = 69.3 - 64 = 5.3[/tex]
[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]
What is the probability that the young man is taller than the young woman by more than 5 inches?
Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 5.3}{3.89}[/tex]
[tex]Z = -0.08[/tex]
[tex]Z = -0.08[/tex] has a pvalue of 0.4681
1 - 0.4681 = 0.5319
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?
Answer:
Step-by-step explanation:
Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.
1. The retail store should not change its staffing arrangement.
2. Changing the staffing arrangement may not favor the retail store.
Data and Calculations:
8:00 am & 12:00 pm & 4:00 pm & 8:00 pm &
12:00 pm 4:00 pm 8:00 pm midnight
Expected % of customers 32% 21% 35% 12%
Actual number of customers 214 198 276 134
Total Number of customers = 822 (214 + 198 + 276 + 134)
Actual % of customers 26% 24% 34% 16%
Difference between expected percentage of
customers and actual 6% 3% 1% -4%
Variation 0.36% 0.09% 0.01% 0.16%
Sum of variation = 0.62%
Standard Deviation = 0.787
Thus, based on the standard deviation, the store should not change its staffing.
Learn more: https://brainly.com/question/14880922
what is the missing value , 2/3 and n/12
find the value of x in the following figure
Answer:
x = 172
Step-by-step explanation:
A circle is 360 degrees
The angles will add to 360 degrees
x/2 + 59 + x/4 + x = 360
Subtract 59 from each side
x/2 + x/4 +x +59-59 = 360 -59
x/2+x/4+x = 301
Combine like terms
2x/4 +x/4 +4x/4 = 301
7/4x = 301
Multiply each side by 4/7 to isolate x
4/7 * 7/4 x = 301 *4/7
x =172
Select all of the following that are quadratic equations.
3x ^2 + 5x - 7 = 0
x ^3 - 2x ^2 + 1 = 0
2x - 1 = 0
5x ^2+ 15x = 0
6x - 1 = 4x + 7
x ^2 - 4x = 4x + 7
Answer:
3x ^2 + 5x - 7 = 0
5x ^2+ 15x = 0
x ^2 - 4x = 4x + 7
Step-by-step explanation:
Just find a equation with a degree of 2 and boosh
Select the correct answer.
Simplify the expression.
Answer:
The answer to the question is C
On the grid, draw graphs of y=x+2 and x+y=3
Answer:
The image shows the answer and below I will explain more about it.
Step-by-step explanation:
To draw a line all you need is two points on the graph, and people mainly use the coordinates of the y and x intercepts to draw it (when x=0 and when y=0)
so for these questions all we do is:
y=0+2 (we are putting x=0 into the equation)
y=2, x=0 so this is the first of our set of coords:
0=x+2
x=-2 y=0 (we are putting y=0 into the equation)
so all you do is plot these in and draw a line which passes between both,
now just repeat for the other one :)
If k × k × k = 1; then k =
Answer: k^3=1
Step-by-step explanation:
Answer:k^3=1
Step-by-step explanation:
NEED HELP CLICK TO SEE LINKS WILL GET REPORTED
Answer:
click to see link blahlaldglds.com
JUST KIDNG HERES THE ANSWERS BELOW.
7
15
-5
1
4
Step-by-step explanation:
6029-5817 is the correct answer 45
the answer is 212 .... not sure where 45 came from
Pls help me, if you get it right I will give you Brainlist!
Answer:
38.5
Step-by-step explanation:
The formula for the area of the circle is [tex]\pi rx^{2} \\[/tex].
Since you have the diameter and you're told to use 3.14 as pi, all you need to do is to substitute.
The diameter is also 2 times the size of the radius so you divide 7 by 2.
So [tex](3.14)(3.5)^{2} = 38.5[/tex]
the driving distance fom pongola to piey retief alongN2is 105km if a taxi driver at an average speed of 80KM /H calculate the time per minutes
Answer:
78.75min
Step-by-step explanation:
t=S/v
105km/80km/hr
=1.3125hr
1.3125hr =78.75min
Mean of 8, 3,5
and mean of 44,89,23
Answer:
mean of 8,3,5 = 5.333 or 16/3
mean of 44,89,23 = 52
Step-by-step explanation:
Answers and step-by-step explanations:
To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:
8, 3, 5
Add them all up:
8 + 3 + 5 = 16
Then, since there were three numbers, we divide 16 by 3.
16/3 = 5.33
Therefore, the mean of 8, 3 and 5 is around 5.33.
The second data set is:
44, 89, 23
Add them up:
44 + 89 + 23 = 156
Then, divide it by how many numbers there were, which is 3.
156/3 = 52
Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!
Is it possible that
1952
is the remainder of 375139654 - 1953?
a skier travels 4 seconds and cover 72 meters. how long will it take the skier to travel 360 meters?
using the graph, predict how many inches the dog's hair will grow in 38 months?
Find the surface area of the cylinder.
13 m
20 m
Answer:
2695.49 m
Step-by-step explanation:
A = 2πrh + 2πr2
2 · π · 13 · 20 + 2 · π · 132
2695.4865
5000e^72
and
5000e^0.72
Please help me with this
9514 1404 393
Answer:
3025
Step-by-step explanation:
We observe that increasing x by 1 from 0.5 to 1.5 causes the function value to be multiplied by 55 (from 1 to 55).
So, increasing the x-value by 1 again, from 1.5 to 2.5, will again multiply the function value by 55.
f(2.5) = 55·f(1.5) = 55^2
f(2.5) = 3025
Complete the sentence. __is 6 times as much as 2.
Answer:
1/3
Step-by-step explanation:
2 divided by 6 is 1/3 and 1/3 times 6 is 2
The value of an investment property after t years can be found using the formula V =C (1 + r)^2, where V is the current
value of the property, C is the original investment,
and r is the annual rate of appreciation.
a. Solve the formula for r.
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Answer:
0.871
Step-by-step explanation:
a. Solve the formula for r.
V = C (1 + r)²
dividing both sides by C, we have
V/C = (1 + r)²
(1 + r)² = V/C
taking square root of both sides, we have
√(1 + r)² = √(V/C)
1 + r = √(V/C)
r = √(V/C) - 1
b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same
rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.
Since r = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000
Substituting the values of the variables into the equation for r, we have
r = √($ 175,000/$ 50,000) - 1
r = √3.5 - 1
r = 1.871 - 1
r = 0.8708
r ≅ 0.871
A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
What is the area of the shape below?
square inches
Need help with this help me out
A right triangle has coordinates ( − 3 , 4 ) , ( 3 , 6 ) , and ( − 1 , − 2 ) . What is the area of the right triangle?
Answer: 20 sq units
Step-by-step explanation:
A quick sketch graph will show the right angle is at (-3 ,4)
The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)
Area = 1/2 x (sqrt(40))^2 = 20
If you didn’t have a right angle you could find the lengths of all sides a, b and c
Calculate the semi perimeter s = (a+b+c) / 2
And the area = sqrt(s(s-a)(s-b)(s-c))
Try and use this method to check the first one!
Employee A gets paid $150 weekly, plus $0.50 for each latte they sell. If he was paid $275,
how many lattes did he sell this week?
Answer:
550 lattes he sold this week
Step-by-step explanation:
$275÷$0.50= 550
Sam and Harry are family. Sam is currently three times Harry's age. Sam's age is also 10 more than twice Harry's age. The following system of equations models this scenario:
x = 3y
x = 10 + 2y
What are their current ages?
Sam is 24 years old, and Harry is 8 years old.
Sam is 39 years old, and Harry is 13 years old.
Sam is 27 years old, and Harry is 9 years old.
Sam is 30 years old, and Harry is 10 years old.
Answer:
sam is 30 and harry is 10
Step-by-step explanation:
hope you liked my answer .
Answer: Sam is 30 years old, and Harry is 10 years old.
Step-by-step explanation:
Marshall has $4000 in his bank account. It yields 8% simple interest annually. How much money in interest will the account have gained in 5 years?
PLSSS HELP QUICKLY
Answer:
$1600
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 4000 x .08 x 5
I = 1600