Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Is this a function? Explain with full sentence!
[(3,2) (4,2) (5,2) (3,2)]
Answer:
yes
Step-by-step explanation:
so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet
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
What is the unit rate of store A?
•$0.75 / notebook
•$0.50 / notebook
•$0.80 / notebook
•None of the above
What is the unit rate of store B ?
•$0.60 / notebook
•$0.30 / notebook
•$0.55 / notebook
•None of the above
Which store has the better deal per notebook? *
•Store A
•Store B
•The unit rate is the same at both stores
STORE B BECAUSE LOW RATES IS BETTER THAN HIGH
fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?
Answer:
2,500 grams
Step-by-step explanation:
2.5 kilograms = 2,500
Therefore, the laptop is 2,500 kilograms.
hope i helped
The table below shows the relationship between the number of gallons of fremaining in a truck and the number of hours the truck has been driven.
Driving a Truck
Time Driven (h) 0 2.5 5 7.5 10
Fuel (gal)
175
125 100
200
150
Which of the following best represents the rate of change for the number of gallons of fuel remaining with respect to the number of hours the truck has been driven?
-200 gal/h
-10 gal/h
0-1 gal/h
O-to galh
Answer:
-10 gal/h
Step-by-step explanation:
Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.
Option (2) will be be the answer.
Average rate of change of a function is given by the expression,
Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table given,
Two points are (0, 200) and (2.5, 175),
Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]
= [tex]-\frac{25}{2.5}[/tex]
= -10 gallons per hour
Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.
Learn more,
https://brainly.com/question/2530409
Find the value of the missing angles.
Answer:
t=62
w=37
v=118
Step-by-step explanation:
If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?
Answer:
18.00$
Step-by-step explanation:
Answer:
$18.00
Step-by-step explanation:
Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00. You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings. Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.
Find the slope of the line through each pair of points
(1, -19), (19, -2)
Find the scale factor of PQRS to JKLM and the values of w, x, and y.
The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.
What is Scale Drawing?A scale drawing is a drawing made by enlarging or reducing the size of the original object.
The factor by which the drawing is enlarged or reduced is called the scale factor.
Given two quadrilaterals PQRS and JKLM.
Since the shape is similar, the angles are equal and thus are similar figures.
The corresponding sides of two similar figures are proportional.
Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5
Using the proportional rule for similar figures,
KL / QR = LM /RS = MJ / SP = JK / PQ
15 / 12 = x / 10 = y / 16 = 25 / w
Scale factor = 15/12 = 5/4
Consider 15 / 12 = x / 10.
12x = 150
x = 12.5
Consider 15 / 12 = y / 16
12y = 15 × 16
y = 20
Consider 15 / 12 = 25 / w
15w = 12 × 25
w = 20
Hence the option d is the correct answer.
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#SPJ3
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.
A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?
Answer:
15.20feet
Step-by-step explanation:
Length of the ladder = 16foot (hypotenuse)
BAse of the ladder from the house = 5feet (adjacent)
height of the house = x (opposite)
Using the pythagoras theorem
hyp^2 = opp^2 + adj^2
16^2 = 5^2 + opp^2
256 = 25 + opp^2
opp^2 = 256-25
opp^2 = 231
opp =√231
opp = 15.20
Hence the house is 15.20feet high up the house
What is the slope of the line below?
(4,5)
(-2,2)
Answer:
1/2 or one half
Step-by-step explanation:
Answer:
The slope is 1/2.
Step-by-step explanation:
To find the slope of a line, divide yB - yA by xB - xA.
(yB - yA)/(xB - xA)
(2 - 5)/ (-2 - 4)
-3/-6
Dividing two negatives make a positive.
0.5
The slope is 0.5, or 1/2.
SU: ST is 4:1
picture below
Step-by-step explanation:
Length of SU to ST = 4 : 1.
=> (3m + 6) : m = 4 : 1
=> 3m + 6 = 4m
=> m = 6.
so I have to take my keystone's soon even tho I have only half of the required material learned cuz of corona and I have to pass them to graduate so does anyone know a good app where I can study those topics
Please help me with this Its kind of frustrating
Answer:
you have too see what makes 36, 42 ,48 and 27
Step-by-step explanation:
A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?
Answer:
7.41
Step-by-step explanation:
Vertical component:
S = 268.8
U = 0
V =?
A = 9.8
T=?
S = ut + 0.5at^2. u = 0
268.8 = 0.5x9. 8xt^2
T = 7.41 seconds
Answer:
4.42 seconds is the correct answer
Step-by-step explanation:
I NEED THE WORDS AND TERMS TO MATCH THE WORDS ILL GIVE YOU 50 POINTS AND BRAINILEST
Answer:
1 = 5
2 = 8
3 = 1
4 = 3
and
5 = 9
Step-by-step explanation:
Jeremy can tow 1/3 of a mile in 1/4 of an hour. What is the unit rate?
Answer:
1 1/3 - miles per hour.
Step-by-step explanation:
(1/3) / (1/4) =
(1/3) x (4/1) =
4/3 = 1 1/3
A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?
The radius of a circle is 4 kilometers. What is the circle's area?
r=4 km
Use 3.14 for .
square kildmeters
Submit
Answer:
50.27km
Step-by-step explanation:
divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.
Answer:
Step-by-step explanation:
PLEASE HELP
The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
Answer:
A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]
Step-by-step explanation:
From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:
[tex]x+2 = C\cdot (y-1)^{2}[/tex]
[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]
The correct answer is A.
Answer:
A
Step-by-step explanation:
Hopefully this helps
Find the slope of the line.
Answer:
79
Step-by-step explanation:
it is 556
Which graph represents the function
Answer:
The Fourth One.
The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3
hope it helps!
THIS IS 90 POINTS:
what is 15m+35 graphed?
Answer:
Factor
5
out of
15
m
+
35
.
5
(
3
m
+
7
)
Step-by-step explanation:
A ball is dropped from a height of 9 meters. On each bounce, it rises to 35% of its previous height.
When it hits the ground for the sixth time, how far has it traveled?
Round your answer to the nearest hundredth.
Mrs. Jones purchased 6.2 pounds of ground beef. She cooked 0.5 of the ground beef. How many pounds of ground beef did she cook?
Answer:
She cooked 3.1 pounds
Step-by-step explanation:
6.2 x 0.5 = 3.1
Can some one plz help i will give BRAINLIEST.
If there is a 10% chance of a certain flower species having blue petals, then is it possible to observe only 85 flowers with blue petals in a field of 1000 flowers? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.
-7(2-3x) help solve please
Answer:
-14+21x
Step-by-step explanation:
Distrubute
-7 times 2= -14
-7 times 3x= -21x
Answer:
The answer is -14 + 21x
Step-by-step explanation:
Distribute -7 to 2 and -3x
-7 × 2 = -14
-7 × - 3x = 21x
= -14 + 21x
4 + √2 divided by 3 - 5√2
Answer:
-2.59966329107
Step-by-step explanation:
