Answer:
x=0 and y=1
Step-by-step explanation:
Suppose that populations of men and women have the following summary statistics for their heights (in
centimeters):
Mean
Standard deviation
Men
HM = 172
M = 7.2
Women
Uw = 162
ow = 5.4
Both distributions are approximately normal. Suppose we randomly select a man and a woman from each
population, and calculate the difference between their heights. We can assume that their heights are
independent
Find the probability that the woman is taller than the man
You may round your answer to two decimal places
IN
P woman taller
Answer:
.13
Step-by-step explanation:
172-162 = 10
We can find the standard deviation of D by adding the variances of the heights and taking the square root:
σ
D
2
σ
D
2
σ
D
=σ
M
2
+σ
W
2
=7.2
2
+5.4
2
square root of 81
=9
Representing probability with area
When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:
A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.
normalcdf:
lower bound: −9999
upper bound: 0
μ=10
σ=9
Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.
In a normal distribution 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]
It 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, which is the percentile of X. When two measures are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the variances.In this problem:
Men have mean weight of 172 cm, women of 162 cm, hence, for the distribution of the differences, the mean is [tex]\mu = 162 - 172 = -10[/tex].The standard deviation is the square root of the sum of the variances, hence [tex]\sigma = \sqrt{7.2^2 + 5.4^2} = 9[/tex]The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-10)}{9}[/tex]
[tex]Z = 1.11[/tex]
[tex]Z = 1.11[/tex] has a p-value of 0.8665.
1 - 0.8665 = 0.1335
0.1335 = 13.35% probability that the woman is taller than the man.
A similar problem is given at https://brainly.com/question/22934264
Jose won 59 pieces of gum playing basketball at the county fair. At school he gave three to every student in his math class. He only has 5 remaining. How many students are in his class?
Answer:
18
Step-by-step explanation:
59 - 5 = 54
54 / 3 = 18
12.6 cm
6.4 cm
The area of this rectangle is ______
Answer:
80.64 is the area of the rectangle
the probability of an impossible event
Answer:
what
Step-by-step explanation:
whhhhhaaattt
Answer:
the probability of an impossible event is always 0
can u pls help me with this question asap
Answer:
The answer is C
Step-by-step explanation:
If two fifths of the class is 42 just do 42 + 42 + 21 = 105 to find how many seniors there is.
!! PLEASE help !
Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .
Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).
For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).
Convert each angle in degrees to radians. -270°
Answer:
-4.71239 rad
Step-by-step explanation:
Please help me!!!!!!
Answer:
The bubble on the left should be 0.01. The bubbles on the right should be: (top to bottom) 7, 0.1, 0.07, 0.004.
Step-by-step explanation:
You're just supposed to break the decimal into parts. It like breaking 178 into hundreds, tens, and ones (100 + 70 + 8)
i giveee brainlilsttt
Answer:
-5,1
Step-by-step explanation:
hope that helps
:))))))
If f(x)=3x^2-x+3, then what is the remainder f(x) is divided by x+7?
Answer:
Remainder is 157
Step-by-step explanation:
-7 | 3 -1 3
____-21_154
3 -22 | 157
Answer is 3x-22 R157
please help me this is hard
x-3=–5
answer:
subracting 3 from both sides (by rule ll)
= 3-(-5)=-2
now ,x=-2 (ans)
Divide 5,917 ÷ 37 = ________.
161 r 9
161 r 34
159 r 9
159 r 34
Answer:
the last one
Step-by-step explanation:
37*159+34=5917
Answer:
159 r 9
Step-by-step explanation:
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
Solve the equation by graphing. - x2 = 8x + 20
Answer: No real solutions.
Step-by-step explanation: −x2=8x+20
Step 1: Subtract8x+20 from both sides.
−x2−(8x+20)=8x+20−(8x+20)
−x2−8x−20=0
For this equation: a=-1, b=-8, c=-20
−1x2+−8x+−20=0
Step 2: Use quadratic formula with a=-1, b=-8, c=-20
help easy alll you have to do is drag arrows wich i will be doing to the finish line have any questions comment!!!
Answer:
tyreagdfasgavgcrec
Step-by-step explanation:
aerbygrsyhbrsvd
A fitness center charges a $20 fee for monthly membership and $1.50 per visit for each visit over 30 per month. If x > 30, which function represents the cost of a one-month
membership with r visits within the month?
Answer:
1.50 x 30
Step-by-step explanation:
andrea rents a bike for 8 hours and pays $42 for the rental tomorrow she wants the same bike but only needs it for 6 hours what equation can she use to figure out how much she will need to pay
Answer:
8x=42 where x is hourly cost
so x = 21/4
6*x = 63/2 $
Step-by-step explanation:
Elizabeth bought 0.75 pound of sliced turkey for $3.45 and 1.5 pounds of sliced ham for $6.60. How much more was the turkey per pound?
Answer:
$0.20
Step-by-step explanation:
To find the difference per pound, we need to find how much each item costs per pound first.
Sliced turkey:
0.75 pound --- $3.45
1 pound --- × $3.45 = $4.60
Sliced Ham:
1.5 pounds --- $6.60
1 pound --- × $6.60 = $4.40
Difference:
$4.60 - $4.40 = $0.20
Answer:
$0.20
Step-by-step explanation:
which expression is equivalent to 18x + 9y - 6?
answers:
A. 9(2x - y + 3)
B. 3(6x + 3y -2)
C. 2(9x + 3y - 2)
Factor the polynomial completely.
3x^(2) - 8x + 5
Answer:
(x-1) (3x-5)
Step-by-step explanation:
i hope this helps have a wonderful day!
Answer:
i am only in 8th grade but this is the answer
(x-1)(3x-5)
Step-by-step explanation:
Evaluate the expression 9 + (7 - 4)2 ÷ 3.
6
3
18
12
Answer:
11
Step-by-step explanation:
None of these answer choices you have are correct. you have to do parentheses first, which gives you 9 + (3)2/3, then you do division which gives you .6666666666, then you multiply that by 3 and you get 2 and add that to 9
What is the range of the mapping?
Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please
Answer:
[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]
Step-by-step explanation:
In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.
The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].
We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.
[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation
[tex]y = \frac{1}{4}x + 5[/tex].
Hope this helped!
How many groups of 3/4 are in each of the following questions?
11/4
Enter answer as a fraction.
Answer:
12 1/3
Step-by-step exp
First, you need to add up 11/4 and
6 1/2
11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4
To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4
37/4 ÷ 3/4
= 37/4 × 4/3 (4 will cancel out 4)
= 37/3
=12 1/3
solve 2x-3y=3 for y can i get some help
Tamara is bringing refreshments to a
reception for 23 people. She estimates one
liter of juice for 5 people. How much juice should Tamara buy in liters.How many milliliters of juice is this.
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30.
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
Point R is at (−40, −10), a distance of 20 units from point Q
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
(-40,30)
how many times can 200 go into 4879
Answer:
24
Step-by-step explanation:
use elimination to solve the system of equations 9x-2y=30 and x-2y=14
Answer:
Step-by-step explanation:
9x - 2y = 30
x - 2y = 14
9x - 2y = 30
-x + 2y = -14
8x = 16
x = 2
2 - 2y = 14
-2y = 12
y = -6
(2, -6)
Solve using Substitution Method. 5x-y=-6 10x+3y=-32
Answer:
x= -2
y= -4
Step-by-step explanation:
1) solve for y in 5x-y= -6
which would be y= 5x+6
2) substitute that in for y in the second equation
which would be 10x+3(5x+6)= -32
3) solve that new equation
which would be x= -2
4) plug x= -2 into either equation (the shorter equation is the one i chose)
which would be 5(-2) - y = -6
5) solve that new equation
which would be y= -4