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
answer all pls
1) The first 2 sentences of the first paragraph are main sentences. They give some important information.
a) What 3 things are the nervous system made up of?
b) What 2 things does the nervous system do?
2) Which 2 parts are included in the Central Nervous System?
3) Nerves make up the Peripheral Nervous System.
a) What do motor nerves do?
b) What do sensory nerves do?
4) Autonomic nerves work _________________________, or without thinking about them.
5) Somatic nerves are the ones we _________________ _________________ by thinking about them.
6) A nerve cell is called a _____________________. Some of them can be very long like the ones that go all the way from your ____________ to your spinal cord.
7) Look at the picture. Each nerve cell has 3 main parts. Name each part from the description below.
a) The middle of the cell is the cell body labeled the "Neuron".
b) The short branches coming of the cell are called ______________________ and they pick up signals from other cells to send to the brain.
c) The long branch coming down from the cell body is called the __________. It carries messages from the brain to tell the muscles what to do.
8) The spaces between nerve cells are called ____________________. One nerve will release chemicals to "send" a message to be picked up by the next nerve cell.
9) The brain sends messages all over the body as______________________ impulses. They tell the body what to do.
10) Movements that happen faster than the brain can think are called _______________. They usually happen when your body is responding to something painful or frightening.
- 4+-3 - (-11) =
O
O 10
0-18
04
3 1/2 x 1/8 =
I need help!,!,!!!!!
Answer:
0.4375
Step-by-step explanation: calculator
Step-by-step explanation:
[tex] \tt{3 \frac{1}{2} \times \frac{1}{8}} [/tex]
Convert mixed number into improper fraction. For this : Multiply 3 and 2 and add 1. Also , remember that the denominator stays the same. ( i.e [tex] \sf{ \frac{3 \times 2 + 1}{2} = \frac{7}{2} } [/tex] )
⟼ [tex] \tt{ \frac{7}{2} \times \frac{1}{8}} [/tex]
To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator.
⟼ [tex] \tt{ \frac{7}{16}} [/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \tt{ \frac{7}{16}}}}}}}} [/tex]
Hope I helped ! ♪
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =
Answer:
[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]
Step-by-step explanation:
Given
[tex]24c + 36d + 18[/tex]
Required
Factorize
[tex]24c + 36d + 18[/tex]
Expand each term
[tex]6*4c + 6 *6d+6 *3[/tex]
Factor 6 out of the expression
[tex]6(4c + 6d+3)[/tex]
Hence:
[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]
Answer:
6(4c+6d+3)
Step-by-step explanation:
HELP PLEASE PLEASE!!!
x=64Step-by-step explanation:
α + 4/5 = 3
Solve for a to make the proportion true
when he was born Frank weighed 4.2 kg.This was 500g more than Sally.What did Sally weigh at birth?
Answer:
3.7kg
Step-by-step explanation:
4.2kg =4200
4200-500=3700
Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!
Answer:
$1608.48
Step-by-step explanation:
A = P(1 + r/n)^nt
P: 1100 3: 3.8% / year n: 365/year t: 10 years
A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48
What is the equation of the given circle?
Answer:
According to the above figure,
Centre:(-3,2), radius =1[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]
B. is the right answer.Which inequality describes all the solutions to -5x + 6 < 2(-3 − x)?
Answer: x>4
Step-by-step explanation:
The solution set for the given inequality is {-2, -3, -4, -5, -6,.......}.
The given inequality is 5x + 6 < 2(-3 - x).
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality can solved as follows:
5x + 6 < 2(-3 - x)
Multiply 2 to the bracket
5x + 6 < -6 - 2x
Add 2x to both the sides of inequality
5x + 6 + 2x < -6 - 2x + 2x
⇒7x+6<-6
Subtract 6 to both the sides of inequality
7x+6-6<-6-6
⇒7x<-12
Divide 7 to both the sides of inequality
7x/7<-12/7
⇒x<-12/7
⇒x<-1.7
Solution set = {-2, -3, -4, -5, -6,.......}
Therefore, the solution set for the given inequality is {-2, -3, -4, -5, -6,.......}.
To learn more about the inequality visit:
https://brainly.com/question/20383699.
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A population has a mean of 110.22 and a standard deviation of 5.68. For which sample size does 95% of the sample means fall within the interval between 109.08 and 111.36?
a. 100
b.80
c. 60
d. 120
Answer:
100
Please give me brainliest, I really need it.
Answer:
a.100
Step-by-step explanation:
got it right on edmentum
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 4 from this group
Answer:
[tex]P_4= 0.2[/tex]
Step-by-step explanation:
From the question we are told that
Consider all seven-digit numbers
Created from the digits 0-9
Generally number of digits that starts with 6 is mathematically given as
The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10
The total amount of even digits within 0-9 (0,2,4,6,8) = 5
The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250
The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50
Probability the number starts with 4
[tex]P_4 = \frac{50}{250}[/tex]
[tex]P_4= 0.2[/tex]
hat is the solution for the equation?
a + StartFraction 8 over 3 EndFraction = two-thirds
a = negative StartFraction 10 over 3 EndFraction
a = negative 2
a = 2
a = StartFraction 10 over 3 EndFraction?
Answer:
a = -2
Step-by-step explanation:
I'm assuming that the equation is a + 8/3 = 2/3, and you are supposed to solve for a.
Answer:
A.
a=-2
Step-by-step explanation:
Greta has 12 pens and 20 pencils in her desk drawer. What is the ratio of pens to pencils in her desk?
Answer:
every 3 pends there is 5 pencils
Step-by-step explanation:
is the 24 and 32 are coprime number?
Answer:
32 and 24 are not coprime numbers.
Typed oral Question –
Each stand at the cricket stadium can seat 200 people. If there are 100 stands in the stadium.Create the multiplication problem using this information.
Answer:
If the stadium has 100 stands, it can accommodate 20,000 spectators.
Step-by-step explanation:
In order to determine the number of spectators that can enter the cricket stadium, knowing that it has 100 stands and that each of these has a capacity of 200 seated spectators, the following calculation must be performed:
200 x 100 = X
20,000 = X
Therefore, the cricket stadium has a capacity of 20,000 people seated.
What is an equation of the line that passes through the points (3, 0) and (6, -1)
Answer:
(Note: This is assuming that the answer can be in any format.)
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Step-by-step explanation:
When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.
Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:
[tex]\frac{-1-0}{6-3}[/tex]
[tex]\frac{-1}{3}[/tex]
So, the slope is [tex]-\frac{1}{3}[/tex].
Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
The Empirical Rule says that: Group of answer choices outliers are within three standard deviations of the mean. about 32 percent of the data are beyond one standard deviation from the mean most business data sets are normally distributed in most business data we expect the mean and median to be similar.
Answer:
The Empirical Rule says that:
outliers are within three standard deviations of the mean.
Step-by-step explanation:
An outlier is an observed data value which lies some abnormal distance from other values in a population's random sample. The cut-off for an outlier is three standard deviations from the mean in a normal distribution. Therefore, the Empirical Rule concludes that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. In summary, the empirical rule concludes that 68% of the data falls within one standard deviation, 95% percent falls within two standard deviations, while 99.7% falls within three standard deviations from the mean.
So the African bush elephant weighs between 4.4 tons and 7.7 tons what are its least and greatest weights rounded to the nearest ton ?
Answer:
least: 4 tons, greatest: 8 tons
Step-by-step explanation:
.4 round down (5 and up, round up rule)
.7 round up
please hrlp....??????
Answer:
147
Step-by-step explanation:
180-33=147
86
Work out the size of angle x.
47°
Answer:
133 degrees
Step-by-step explanation:
The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.
So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees
180 - 47 = 133 degrees
Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.
And corresponding anglea are the same.
Thereforw, x = 133 degrees
hope this helps :)
The equation y= 12x-9 has its y-intercept at the point
Answer:
-9
Its in the format y=mx+b, where m is the slope and b is the intercept. Also since x is 0 at the y intercept, you could substitute 0 for x and see the intercept
Step-by-step explanation:
A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?
Answer:
720 employees
Step-by-step explanation:
Number of responded employees = 90% of 2000 employees = 1800 employees
Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.
Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)
f(x)= −2x^2 + 8x − 10
{Find } f(-4)
Answer:
simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74
Kelli has $33 in her checking account. She then writes a check for $42. What is the balance of Kelli's bank account?
Answer:
-9
Step-by-step explanation:
42-33= 9
But she is writing a check for $42 and only has $33 so that will send her into negatives.
Question
-6 X 7
I will pay you back if you answer this correctly.
Answer:
-6 time 7 = -42
Step-by-step explanation:
Again 6 times 7 is 42, but since one of them is negative it takes the negative sign making it -42
49 – 3m = 4m + 14 please help
Answer:
m=5
Step-by-step explanation:
A book is 9 inches wide and 13.5 inches tall.
What will the area of the front of the book?
Answer:
121.5
Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.
Answer:
[tex]area = (l \times w) \\ = (13.5 \times 9) \\ = 121.5 \: {inches}^{2} [/tex]
What is X 2(x+5)=3x+1
Answer:
X = 9
Step-by-step explanation:
I need help on graphing the coordinates.
Point G:
Point H:
Point I:
Point J:
Point K:
Point L:
Answer:
im not sure that i couldnt help...
Step-by-step explanation: