Answer:
The probability that a randomly selected x-value lies between μ − 2σ and μ is the shaded area under the normal curve shown. P(μ − 2σ ≤ x ≤ μ) = 0.135 + 0.34 = 0.475
Step-by-step explanation:
Correct Answer is 0.8385
Empirical Rule:
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.
Here,
The 68-95-99.7 rule for the normal distribution says:
P(μ - σ ≤ x ≤ μ + σ) = 0.68
P(μ - 2σ ≤ x ≤ μ + 2σ) = 0.95
P(μ - 3σ ≤ x ≤ μ + 3σ) = 0.997
By taking the left half of the first interval and the right half of the last
interval, we have:
P(μ - σ ≤ x ≤ μ + 3σ) = 0.5*P(μ - σ ≤ x ≤ μ + σ) + 0.5*P(μ - 3σ ≤ x ≤ μ + 3σ) =
0.34 + 0.4985 = 0.8385
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abc2 at a = 4, b = 1/4, c = 5
x + y + z/3 at x = 1, y = 3, z = 5
(p + q)2 at p = 8, q = –5
Look at the attached picture
Hope it will be helpful to you...
HOW COULD YOU USE A GRAPH TO SHOW WHETHER THE DATA ARE IN A PROPORTIONAL RELATIONSHIP
Answer:
If the graphs are parallel they are porportional
Step-by-step explanation:
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
Step-by-step explanation:
Please mark me most brainly... :)
Help please. If I get the answer right you will get brainliest
Answer:
x [tex]\geq[/tex] -4
Step-by-step explanation:
-7x+13≥41
-13 -13
-7x ≥ 28
-7 -7
x ≥ -4
How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?
Answer:
Step-by-step explanation:
Value of 4 in 42,672 = 40,000
Value of 4 in 37,426 = 400
40,000 ÷ 400 =100
Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426
If the associated Linear function of this sequence was graphed, what woulld be its slope?
A) 2
B) 4
C) 8
D)1/4
Answer:
I think it is A but the other person might be right
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
Can someone help me? Thanks! :)
Answer:
75 is the length of the third side
Answer:
The unknown side to the triangle is 75 cm.
Step-by-step explanation
Let x be the length of the unknown side:
x^2 + 40^2 = 85^2
x^2 + 1600 = 7225
x^2 = 7225 - 1600
x^2 = 5625
x = 75
How to do the problem and what the answer is this thing is due today(30 points!)
Answer:
40°
Step-by-step explanation:
complementary angels makes the sum of two angles = 90°
so
<ABC + < CBD = 90°
if <ABC = 50°
then 90° - 50° = 40°
Evaluate without using a calculator by using ratios in a reference triangle.
cos 5pi/3
Answer:
The answer is 1 /2
Step-by-step explanation:
Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.
Any multiples of cos outside 2nd quadrant will give a positive value.
cos 5pi/3 is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.
In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.
For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant
If "R" is a real number, for all R multiplied by pi/3, the new value gives an angle in the first or fourth quadrant, the angle will be 0.5
The exact value of cos 5 ( π /3 ) is 1 /2 .
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
You walk from home to school. You graph the relationship between time, x, and distance from home, y. Which best describes the graph of your walk from home to school?
A. The graph will slope up and to the left
B. The graph will slope up and to the right
C. The graph will start at the origin and go up to the left
D. The graph will start at the origin and go up to the right
Answer:
The graph will start at the origin and slope up and to the right.
Using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.
What is graph?A graph is "diagrammatic or pictorial representations of collections of data in a organized manner".
According to the question,
The horizontal line or x-axis of the graph represents time taken during walk and the vertical line or y-axis of the graph represents distance traveled with respect to time.
Since walking start at home is taken as origin in the graph and reaching to school is noted in go up to the right of the graph.
Hence, using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.
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The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member and y = y equals StartFraction 1 Over 5 EndFraction x. x for a nonmember. Explain how the graph of a nonmember’s yearly cost will differ from the graph of a member’s yearly cost.
Answer:
The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.
Step-by-step explanation:
I hope I have your equations correct:
Member:
y = 1/10x + 60
Non-Member:
y = 1/5x
The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.
How to solve graphs of straight lineAccording to the question;
For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a member; y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60 for a member.For a non-member; y equals StartFraction 1 Over 5 EndFraction x.In essence; the mathematical equation for a member is;
y = (1/10)x + 60.For a non-member;
y = (1/5)x.Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.
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The graph of f(x) is shown. Estimate f(-3).
f(-3) = 1
Answer:
There is no graph.
But 1 would be a good estimate if f(-3)=1
Step-by-step explanation:
for a special 16 sided die, what is the theoretical probability for rolling a number less than 9?
Answer:
8/16
Step-by-step explanation:
there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)
Answer: There is a 8/16 chance of getting a number under 9.
Explanation: There is a total of 16 sides on the die. If you look at the die numbers 1, 2, 3, 4, 5, 6, 7, and, 8 are all numbers under 9. Which explains how there are 8 sides. Meaning 8 numbers are 8 sides and 16 total numbers are 16 total sides. Therefore the answer is 8/16.
Solve for m. –5 − 5m = –6m
m= _
Answer:
M = 5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5−5m=−6m
−5+−5m=−6m
−5m−5=−6m
Step 2: Add 6m to both sides.
−5m−5+6m=−6m+6m
m−5=0
Step 3: Add 5 to both sides.
m−5+5=0+5
m=5
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
Help asap pleaseee!
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
200 ft per hour
105 ft per hour
300 ft per hour
75 ft per hour
Answer:
75
Step-by-step explanation:
700-400=300
6-2=4
300/4=75
Answer:
75 ft per hour.
Step-by-step explanation:
because
5. 105 is how many times as large as 1 · 10?
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19
The answer is 12
Ham, swiss, mustard
Ham, swiss, mayonnaise
Ham, provolone, mustard
Ham, provolone, mayonnaise
Turkey, swiss, mustard
Turkey, swiss, mayonnaise
Turkey, provolone, mustard
Turkey, provolone, mayonnaise
Roast beef, swiss, mustard
Roast beef, swiss, mayonnaise
Roast beef, provolone, mustard
Roast beef, provolone, mayonnaise
Is this SAS or Not SAS?
Answer:
SAS
Step-by-step explanation:
What is the equation of the following line written in general form
Answer:
y=-3/2x+-9/2
Step-by-step explanation:
What is this expression in simplified form (6√2)(−3√5)??
Answer:
-18√10
Step-by-step explanation:
You use the rule √a·b = √a·√b:
(6√2)(−3√5) = 6·-3√2√5 = -18√(2·5) = -18√10
What is the probability of two dice landing on 4 If you already know the first die has
landed on 4
Answer:
1/6
Step-by-step explanation:
no matter what, the die always has the same probability of landing on one specific number.
Really hope this helps!!
stay safe :0)
The required probability of both dice landing on 4 is 1/6.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.
This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.
Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.
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Rounded to the nearest hundredths 27.5=3+5(k-9.5)
Answer:
12 = k
Step-by-step explanation:
Begin: 27.5 = 3 + 5 (k-9.5)
1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.
Now: 27.5 = 3 + 5k - 47.5
2. Combine the 3 and -47.5, which comes to be -44.5
Now: 27.5 = -44.5 + 5k
3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72
27.5 + 44.5 = -44.5 + 44.5 + 5k
Now: 72 = 5k
4. Divide both sides by 5 to be left with just what k equals
72/5 = 5k/5
Final Answer: 12 = k
Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?
Answer:
4.5 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r where r is the radius
28.3 = 2 * (3.14) *r
28.3 = 6.28 r
Divide each side by 6.28
28.3/6.28 = r
4.506369427=r
The approximate length of the radius is 4.5 cm
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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There are 3 red balls, 5 green balls, and 1 yellow ball in a hat. If you draw the yellow ball, you gain $10. If you draw any of the red balls, you gain $4. If you draw a green ball, you lose $3. If you were to play this game 25 times, replacing the drawn ball each time, how much money can you expect to gain or lose?
Answer:
19.44
Step-by-step explanation:
We have the following information:
3 red balls, 5 green balls, and 1 yellow ball
In total there are 3 + 5 + 1 = 9 balls.
We calculate the probability of each:
Network: 3/9
Green: 5/9
Yellow: 1/9
Each one corresponds a price in profit or losses:
Network: 4
Green: -3
Yellow: 10
So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:
(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25
= 19.44
Solve the following system of equations using any method you want.
y + 2x = 2
2x - 5y = 14 please help
Answer:
y = - 2, x = 2
Step-by-step explanation:
Remove x and solve for y
2x - 2x - 5y - y = 12
-6y = 12
y = - 2
Substitute y back into the equation
-2 + 2x = 2
2x = 4
x = 2
15 more than x is 58
Answer:
The equation for this would be x + 15 = 58.
Step-by-step explanation:
"More than" would refer to addition. So 15 more than x would be x + 15.
"Is" means "equals", so when they say "is 58" it means "equals 58."
Put it all together: x + 15 = 58.
Answer:
58-15=43
x=43
if you want an equation:
x+15=58
