Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
Answers
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer: 0.84
Step-by-step explanation:
Related Questions
Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?
Answers
Answer:
70 likes
Step-by-step explanation:
49 likes / 7 minutes = 7 likes / minute
10 minutes * 7 likes / minute = 70 likes / 10 minutes
Given the set of numbers, 2, 3, 4, 8, 10 with mean = 6 The Second moment about the mean for this set is?
Answers
Answer:
Given,
2,3,4,8,10
ex=2+3+4+8+10+x
=27+x
mean=6
no of data=5
now,
mean = ex/n
or,6=27+x/5
or,5×6=27+x
or,30=27+x
or,30-27=x
3=x
Really need help pls ty
Answers
Answer:
1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left
2: They are at each exibit for 51 min
Hope this helps: :)
If
you
invest $100 in an index fund that earns an average annual rate of
return of 12.3% compounded monthly. You make a regular monthly
contributions of $25, how much will your investment be worth in 52 years?
Answers
Answer Interest rate = 12.3%
The compound interest formula is given by:
Where
A = Future amount
P = Present amount (Principal amount)
r = Interest rate in decimal form
n = No. of times compounded per year
t = time in years.
We can say that if:
Present amount = P
Future amount = 3P
r = 12.3/100 = 0.123
n = 1
t = ?
Substitute the values in the formula of compound interest:
Taking log on both sides.
Round off to nearest option
t ≅ 9 years
how much time should be allowed for a 392-km car trip if the car will be traveling at 120km/h
Answers
Answer:3hrs 16min
Step-by-step explanation:
392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min
LOOK AT THE PICTURE ATTACHED AND HELP QUICKLLYYYYY PLZZZ!!!!
Answers
Answer: √490
Step-by-step explanation:
I'll give brainliest to the right answer!!!
Find three consecutive odd integers such that the difference of twice the second and the first is 11.
Answers
Answer:
7, 9, 11
Step-by-step explanation:
question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.
make the 3 consecutive odd intergers x, y, and z.
numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:
x+2=y
y+2=z
given that: "difference of twice the second and the first is 11."
difference means subtraction
second number is the variable y
first number is the variable x
2y-x=11
----------------
3 equations:
2y-x=11
x+2=y
y+2=z
----------solve by substitution
x+2=y
x =y-2 into 2y-x=11
2y-(y-2)=11
2y-y+2=11
y=9
second number is 9
-----
numbers are 7, 9, 11
1 7.26 × 0.22 =
2 17.92 × 0.64 =
3 7.65 × 0.85 =
4 36.20 ×0.05 =
5 31.85 ×0.91 =
please answer it cause my calculator is broken
Answers
Answer:
1) 1.5972
2) 11.4688
3) 6.5025
4) 1.81
5) 28.9835
Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1
y = x - 1 ← equation of line
!!!!!!!!!HELP I need asnwer ASAP
Answers
1) 2, 8
2) 2, 1/2
| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?
Answers
Answer:
The following equation has no / zero solution.
Step-by-step explanation:
The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.
Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups
Answers
Answer:y=12 x=00
Step-by-step explanation:
you can not
The required equation that represents the graph is y = x + 30
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The standard linear equation is given as y = mx + b
Where,
m is the slope
b is the y-intercept
Using the coordinates (20, 50) and (40, 70)
Get the slope of the line:
m = 70-50/40-20
m = 20/20
m = 1
Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.
Therefore, the Required equation that Shows the graph is y = x + 30
Learn more about linear equations here:
brainly.com/question/13763238
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Derivative help please
Please dont comment if you dont know,
Thank u
Answers
[tex]y = x^{\tfrac 1{\ln x}}\\\\\implies \ln y = \ln \left( x^{\tfrac 1{\ln x}} \right)\\\\\implies \ln y = \dfrac{1}{\ln x} \cdot \ln x\\\\\implies \ln y = 1\\\\\implies y =e\\\\\\\text{Now,}\\\\\ \lim \limits_{x \to \infty} x^{\tfrac 1{\ln x}}=\lim \limits_{x \to \infty} y = \lim \limits_{x \to \infty} e = e[/tex]
Find the value of x need help
Answers
Answer:
Step-by-step explanation:
The supplement of 102 = 180 - 102 = 78
It is the interior angle of the given exterior angle.
It is also the enclosed angle of the isosceles triangle
Each of the other two angles = y
180 = 2*y + 78 Subtract 78 from both sides
180 - 78 = 2y Combine
102 = 2y Divide by 2
102 / 2 = y
51 = y
The smaller triangle on your right has 2 equal sides that are marked.
The angle you just found = <2 and the vertically opposite angle of the 51
So <2 = 51
Question:
Goofy Unlimited Lighting sells a 12 pack of lightbulbs for $8.40. Daisy Luminous Lighting sells a pack of 19 lightbulbs for
$15.35. Which store has the better deal. (3 points - 1 point showing the correct proportional relationship, 1 point
showing the unit rate, 1 point for identifying the store name)
es 0)
balo
Answers
Answer:
Goofy unlimited lighting 12 pack of light bulbs
Step-by-step explanation:
12 = 8.40/12 = .70 cents
19 = 15.35 = .81 cents
Classify the Triangle by its sides and angles. 140° Right Scalene Right Isosceles Equilateral Obtuse Isosceles Acute Isosceles Obtuse scate Acute Scalene
Answers
Answer: Obtuse Isosceles.
Explanation: Two angles are congruent, which means the triangle is isosceles. One angle is over 90°, which means the triangle is obtuse.
Determine if the two triangles are congruent. If they are, state how you know
Answers
Not sure where to start
Answers
Find the slope of the line that contains the following ordered pairs (4,2) (7,6.5)
Answers
Answer:
4.5/3 or 1.5
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
(6.5-2)/7-4)=4.5/3... you can further simplify to 1.5.
⦁ Solve for x: 3|x – 7| = 15
SHOW WORK
Answers
[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]
3x=36 divided by 3 both side x=12 x=2
Find the exact value.
Answers
[tex]\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}[/tex]
2. Mark works as a consultant for a computer firm. His weekly income is $425. His
monthly expenses are $1,266. How much does he have left for variable expenses?
(Hint: There are four pay periods in one month.)
Answers
Hi there, I hope you understand my answer and that it is correct :)
So, First we multiply $425 by 4 because there are approximately 4 weeks in every month, so as shown [tex]425*4=1,700[/tex]
____________________________________________________________
Next We subtract the answer, which we got to be 1,700 from 1266.
[tex]1700 - 1266=434[/tex]
____________________________________________________________
Answer : $434 left to spend :)
A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected? A).30 B).33 C).40 D).60
Answers
Answer:
D:60
Step-by-step explanation:
Simplify the linear expression. −4x+5(−5x−1) Enter your answer in the box.
Answers
Answer:
-29x - 5
Step-by-step explanation:
-4x - 25x - 5 = -29x - 5
Answer:
- 29x - 5
Step-by-step explanation:
- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5
= - 4x - 25x - 5 ← collect like terms
= - 29x - 5
1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.
Answers
The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535
What is the Probability in Normal Distribution?
We are given;
Sample size; n = 50
Standard deviation; σ = 0.5
Mean; μ = 2
The formula to find the z-score for each sample mean is;
z = (x' - μ)/(σ/√n)
Thus, for x' = 1.8, we have;
z = (1.8 - 2)/(0.5/√50)
z = -2.83
For x' = 2.2, we have;
z = (2.2 - 2)/(0.5/√50)
z = 2.83
Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;
P(-2.83 < Z < 2.83) = 0.99535
Read more about Normal Distribution Probability at; https://brainly.com/question/4079902
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What number is the opposite of
3/11
O A. - 3/11
O B. -11/3
C. 11/3
O D. 1/3
Answers
Answer:
I believe the answer is A.
The bed of Jerry's pickup truck is 6 feet long. On
a scale model of the truck, the bed is 1/4 inch
What is the scale of the model?
6 ft
Answers
Answer:
1:4
Step-by-step explanation:
(1/4 in : 6 ft)
1/4 in : 6 (12 in)
1/4 in : 72 in
divide each side by 1/4
288/72 simplified is ...
1 : 4
Find sin(a-B), if cosa=1/3, cosB=1/4, a=(0;180), B(-90;0)
Answers
Give me some hint please
What does the transformation f(x)↦f(x+5)–1 do to the graph of f(x)?
Answers
Answer:
Every f(x) shall decrease to 5 times the previous value.
Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19
Answers
[tex]x = -4 \pm \sqrt{19}[/tex]
Step-by-step explanation:
Let us put 3 on the right side and rewrite the equation as
[tex]x^2 + 8x = 3[/tex]
By putting 16 on both sides, our equation becomes
[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]
[tex]\Rightarrow (x + 4)^2 = 19[/tex]
Taking the square root of the equation, we get
[tex]x + 4 = \pm \sqrt{19}[/tex]
Finally, solving for x,
[tex]x = -4 \pm \sqrt{19}[/tex]