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.
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Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer: the triangles are congruent
Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent
1. A 15-pound bag of sugar is being split into containers that hold of a pound. How many
containers of sugar will the 15-pound bag create?
The answer is: 17 1/7 containers. The work is on the photo
Answer:
yes
Step-by-step explanation:
yes
Pls I need help with 2 I’m begging I been stuck on it for a while pls have a good day pls I need help
Answer:
F
Step-by-step explanation:
You add 4.5 pages for every 1 minute, this is constant.
What is n2+5 If n=5?
Is that cube or n just multiply to 2?
Answer:
15
Step-by-step explanation:
n is 5 so 5 times 2 equals 10 and plus 5 it equal 15
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75
Answer:
7.85
Step-by-step explanation:
the other guy is incorrect,
a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length of the radius of the circle
Answer:
square root of 65 or 8.06
Step-by-step explanation:
(x-2)^2+(y-7)^2+65
hope this helps
The length of radius is 7.81 unit.
What is Distance Formula?The distance between two points P(a, b)a nd Q(c, d) is
D = √(c- a)² + (d- b)²
Given:
Center at (-2,7) if a point on the circle has coordinates (3,-1).
Using Distance Formula
D = √( 3-(-2))² + (1-7)²
D = √ (3 +2)² + (-6)²
D = √5² + 36
D = √25+36
D = √61
D= 7.81 unit
Hence, the length of radius is 7.81 unit.
Learn more about distance formula here:
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3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)
Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3
The answer is 14
A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?
Answer:
p( black) = 2/3
Step-by-step explanation:
4 white + 8 black = 12 tiles
P ( black) = number of black / total
= 8 /12
= 2/3
There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Convert the fraction 7/8 into a decimal number
[tex] = > \frac{7}{8} = 0.875 \\ [/tex]
18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A 272.5
B 267.5
C 270
D 337
Answer:
B) 267.5
Step-by-step explanation:
162.5+105=267.5
please anwser this for me!!
Answer:
No
Step-by-step explanation:
The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.
A function cannot have two y-values assigned to one x-values.
Which point represents the fourth bus stop
A. (11,8)
B. (13,12)
C. (15,10)
D. (19,12)
Answer:
The answer is (19,12)
Write an equation in slope-intercept form that is perpendicular to y = -7x + 3 and passing through (14.1).
Answer:
y = 1/7x -1
Step-by-step explanation:
1) Find the slope.
- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.
2) Use the point-slope form and substitute the values available. Then solve.
m (slope) = 1/7
(a, b) = (14, 1)
y - b = m(x - a)
y - 1 = 1/7(x - 14)
y - 1 = 1/7x - 2
y = 1/7x - 1
The result is your answer.
Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^
Name the factors in each of the following problems
What is the answer to the following question:
5(4-2) + 1=
Step-by-step explanation:
5(4 - 2) + 1
= 5 * 2 + 1
= 10 + 1
= 11
Hope it will help you :)♡
Find the value of X. Show your work.
Congruent triangle
Answer:
x = 3
Step-by-step explanation:
exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles
97 + x = 64 + 27
x = 97 - 64 - 27 = 6
Answer: x=-6
you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure
64 + 27 = 91
180 - 91 = 89
so 89 is the third interior angle of the triangle. now let's find the exterior angle.
you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:
89 + 97 + x = 180
186 + x = 180
-186 -186
x = -6
now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.
64+27+89 does equal 180
and 97+(-6)+89 does equal 180
i hope this helps!
1/2 + 2/3 divided by 1/6 =
Answer:
4 3/6 or simplified 4 1/2
Step-by-step explanation:
Answer:
The answer is 4.5
Step-by-step explanation: Trust me thats the answer :)
2x + 3y = 2
y = {x+3
The solution of the system is (-2,2)
Step-by-step explanation:
a solution is a system of equations intersecting.
on the graph you can see that the lines intersect at (-2,2)
Need help will give 15 points!!
Answer:cool
Step-by-step explanation:
Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. How old is sage? please show an explanation.
Answer:
Comparing the age of two people both ... solve our problem we will fill out a three by three table for each problem. ... To show Adam is 20 years younger we subtract 20, Adam isx −20. Age Now. +2 ... 3. Pat is 20 years older than his son James. In two years Pat will be twice as old.
Answer:
Sage is 17 years young.
Step-by-step explanation:
A score is referring to 20 of something.
It says Sage is 3 years younger than a score.
20-3=17
I hope this is what the question means, otherwise, I'm clueless.
Can you simplify this?
Answer:yes
Step-by-step explanation:
The 12 students in the Environmental Club represent 20% of the students in the seventh grade. How many students are in the seventh grade?
The students that are in the seventh grade is 60.
How to calculate the number of students?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Let the students that are in the seventh grade be x.
Since 12 students in the Environmental Club represent 20% of the students in the seventh grade. This will be:
20% × x = 12
0.2x = 12
Divide
x = 12 / 0.2
x = 60
Therefore, there are 60 students.
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What is 5-2(4a+1)+3a=13
Step-by-step explanation:
5-2(4a+1)+3a=13
5(4a+1)-2(4a+1)+3a=13
20a+5-8a-2+3a=13
20a-8a+3a+5-2=13
15a-3=13
15a=13+3
a=16
15
hope it helps.
Movie tickets cost $6 for adults and $2 for children under the age of 12. If 175 movie tickets were sold with cash receipts of $750, how many children’s tickets were sold?
Answer:
75 child tickets and 100 adult tickets were sold.
Step-by-step explanation:
Given that adult tickets cost $ 6 and children's tickets cost $ 2, knowing that 175 tickets were sold for $ 750, to determine how many child tickets were sold the following calculation must be performed:
2 x 175 = 350
750 - 350 = 400
6 - 2 = 4
400/4 = 100
175 - 100 = 75
100 x 6 = 600
75 x 2 = 150
Therefore, 75 child tickets and 100 adult tickets were sold.
What is the measure of angle L?
What is the length of JL?
What is the length of KL?
Please help
Answer:
53
Step-by-step explanation:
[tex]K+J+L = 180\\90 + 37 + L = 180\\L = 53[/tex]
One step equation
-104=8x
Answer:
The answer you gave can only be solved if you know what the Variable is.
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
What is the common ratio of the sequence?
-2, 6, -18, 54....
-3
-2
3
8
Answer:
-6/-2=-18/-6=54/-18
=3
Step-by-step explanation: -3 is the correct answer. -2x-3=6, 6x-3=-18,
-18x-3=54
Using a scale where 3 inches = 5 feet. If a room measures 20 feet (Width) by 22.5 feet (length), what are the dimensions of the room in inches?
A 12 inches (width) by 13 inches (length)
B 12.5 inches (width) by 13 inches (length)
C 12 inches (width) by 13.5 inches (length)
D 12.5 Inches (width) by 13.5 inches (length)
Answer:
wnna call me and lift the lorax
Step-by-step explanation:
Answer:
12 inches by 13.5 inches
Step-by-step explanation:
3 inches= 5 feet
0.6 inch = 1 feet
20 feet=12 inches
22.5 feet=13.5 inches
please give me brainiest!!<3
9x + 4
8x - 4
4x + 17
If the perimeter is 374 units, find the value of x and the area of the triangle.
The value of x is
The area is
square units.
Answer:
x = 17
Area = 10,362units²
Step-by-step explanation
Given the sides of the triangle
S1 = 9x+4
s2 = 8x-4
S3 = 4x+17
Perimeter of the triangle is the sum of all the sides
P = S1+S2+S3
374 = 9x+4+8x-4+4x+17
374 = 21x+17
21x = 374-17
21x = 357
x = 357/21
x = 17
Hence the value of x is 17
Area of the triangle is 1/2bh
A = 1/2bh
b is the base
h is the height
Let the base be 9x + 4 and height be 8x-4
b = 9x+4
b = 9(17)+4
b = 153+4
b = 157units
h = 8x-4
h =8(17)-4
h = 136-4
h = 132
Area = 1/2 * 157 * 132
Area = 157*66
Area = 10,362units²
