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
Write an equation in slope-intercept form for the line.
slope: 0.8, y-intercept: 10
Group of answer choices
y = –0.8x + 10
y = 0.8x – 10
y = 0.8x + 10
y = 5/7x + 10
Answer:
y = 0.8x – 10
This is the correct answer.
Step-by-step explanation:
Two angle measures of this triangle are 60°. Which type of triangle is it?
Answer:
It's an equilateral triangle.
Step-by-step explanation:
For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.
An ant bed contains about 230 ants. If there are 6 of these beds on the playground, how many ants are there?
Multiply number of ants per bed by number of beds.
230 ants x 6 beds = 1,380 total ants
the answer I got was 1,380
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Which graph shows the system of equations
{2x+3y=5 4x−5y=−1
The graph of equation is in image.
What are linear equations?When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."
There are linear equations with one and two variables, respectively.
Given equations 2x + 3y = 5
4x - 5y = -1
for equation 1
2x + 3y = 5
x 1 -2 4
y 1 3 -1
coordinates for equation 2
4x - 5y = -1
x 1 2 -4
y 1 1.8 -3
and the intersection point of equation is (1, 1)
Hence the graph of equation is intersecting at (1, 1).
Learn more about linear equation;
https://brainly.com/question/29739212
#SPJ1
Pls help easy points
Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99
Step-by-step explanation:
To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.
Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
The number of pounds that can be safely loaded onto an elevator, X, can be represented by
the inequality x < 1,200. Which number line correctly represents this inequality?
Answer:
the third one
Step-by-step explanation:
The inequality says X is less than 1200, this means the arrow needs to be pointing to the left. Because X cannot equal 1200, the circle on 1200 should not be filled in. It is only filled in if it is included.
Answer:third one
Step-by-step explanation:
Simplify the following expression.
13x+11y-3x+3y+9
Answer:
10x+14y+9Step-by-step explanation:
13x+11y-3x+3y+9
10x+11y+3y+9
10x+14y+913x + 11y - 3x + 3y + 9
This problem consists of combining alike parts of the equation. This means 13x and - 3x go together, 11y and 3y go together, and 9 has no other alike parts.
This shows that the answer (when combining like terms) is:
10x + 14y + 9
Thirteen more than three times a number is 25.
Answer:
x = 4
Step-by-step explanation:
Equation: 3x + 13 = 25
Step 1: Subtract 13 from both sides.
3x + 13 = 25
- 13 - 13
3x = 12
Step 2: Divide both sides by 3.
3x = 12
3 = 3
x = 4
What is the slope for this??
Answer:
slope: [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
ANSER FOR REAL OR BANHAMMER WILL BE IN YOUR FACE
Step-by-step explanation:
Since the square is folded along its diagonal,
Perimeter of each triangle
= 2 * Side of square + Diagonal of square.
Side of square
= √(Area of square)
= √(49in²) = 7in.
Diagonal of square
= √(2 * Area of square)
= √(98in²) = 7√2in.
Hence we have 2 * 7in + 7√2in = 7(2 + √2) in.
What is the square root of -16?
Step-by-step explanation:
3 is the correct answer
HERE ARE SOME LOVELY POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE HELP KE
Answer:
Aww spanx! :) You are very kind!
Step-by-step explanation:
Answer:
Thanks if this is free points!
I'm truly sorry if this is an actual question because i cant see the pictures you attached :(
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all?
Answer:
5 5/6+1 1/4+1 1/4, or 8 1/3 miles
Answer: it’s 5 5/6+1 1/4+1 1/4, or 8 1/3 miles
Step-by-step explanation:
Interest calculated only on the principle is
if w is the cube root of unity
(x-wy+w^2z)/(y+wz+w^2z)
only correct ans allowed wrong ans will be reported
Answer:
are you sure
Step-by-step explanation:
bro i am trying to answer your question
It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event
Answer:
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
Step-by-step explanation:
I think
Find the missing angle.
65°
60°
X=
Answer:
125
Step-by-step explanation:
sum of 60 and 65 will give you x
Answer:
125
Step-by-step explanation:
65+60=125
pls help asap!! no trolls
Answer:
7
Step-by-step explanation:
а>12-6
The number line represents −4 1/2+3 1/4. What is the sum?
Answer:
C
Step-by-step explanation:
Rbrberbrb
Answer: Its c
=- 1 1/4
What is the x- coordinate of the zero of the graphed line?
Answer:
4
Step-by-step explanation:
simplify the expression t+2+6t
Answer:
2+7t
Step-by-step explanation:
combine like terms
t+2+6t
2+7t
Please someone help me out. This is due soon.
Answer:
1. 8 people
2. 2 people
3. the difference is 1
4. 4 people
5. skiing, snowboarding, ice skating, sledding
Step-by-step explanation:
1. it shows on the graph
2. you subtract the number of people ice skating by the number of people sledding
3. you add ice skating and sledding then subtract that total from the amount of people skiing
4. you have to subtract skiing from ice skating and then add one to ensure it is the most liked
you simply go from greatest to least
List the next three terms in the following sequence:
1, 2, 4, 7, 11, 16,...
Also list the number that would be the twentieth number in the sequence.
a.
23, 31, 40; 200
b.
23, 31, 40; 191
c.
22, 28, 35; 185
d.
22, 29, 37; 191
Answer:
The answer is D
Step-by-step explanation:
Each time sum of previous number and position of that previous number in given series, with the formula being:
previous number + position of previous number = next number
For example, 7 is in the 4th spot so 7+4=11.
Answer:
d
Step-by-step explanation:
5c times 3c squared to the third power
Answer:
125c^3 * 27c^6
Step-by-step explanation:
(5c * 3c^2)^3
Distribute the cube:
5^3=125 3^3=27
When raising a power to a power we multiply the exponents:
125c^3 * 27c^6
What is
-2 + (-5) =
And please explain bc I don’t get it
Answer:
Step-by-step explanation:
(-2) + (-5) = (-7)
In integer addition, if two numbers are negative, then add the two numbers and the put the negative sign for the result
What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4
Answer:
-5, -7 or its -7, -5
Step-by-step explanation:
Answer:
-7 -5
Step-by-step explanation:
Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient
Given:
The degree of polynomial = 9
Leading coefficient is negative.
To find:
The end behavior of the polynomial.
Solution:
Let the polynomial be P(x).
We have,
Degree of polynomial = 9, which is odd.
Leading coefficient is negative.
If the degree of a polynomial is odd and leading coefficient is negative, then
[tex]P(x)\to \infty\text{ as }x\to -\infty[/tex]
[tex]P(x)\to -\infty\text{ as }x\to \infty[/tex]
Therefore, the end behavior of the given polynomial is [tex]P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty[/tex].