Answer:
Selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Step-by-step explanation:
Given that Ace earned $ 176 selling 32 meters of cloth at $ 1496, to find out his loss for each meter if he sold the total for $ 1276, the following calculation must be performed:
1496 - 176 = 1320 (stock price)
1320/32 = 41.25 (price per meter)
1276/32 = 39.87
41.25 - 39.87 = 1.37
Thus, selling the total for $ 1276, Ace lost $ 1.37 for each meter.
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
PLEASE ANSWER GIVING 30 POINTS
Answer:
this is only 15points but ok
Step-by-step explanation:
answer: D)
Answer:
The answer should be 15.
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex] as the product of square roots. [tex]\sqrt{5^{2} }[/tex] [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].
[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.
[tex]\sqrt[15]{5}[/tex]
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
Find the slope of the line through each pair of points
(1, -19), (19, -2)
write a polynomial in factored form with solutions of
Answer:
The factored form of a polynomial means it is written as a product of its factors. The factors are also polynomials, usually of lower degree.
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.
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Francis heard that a car stereo system was on sale for 30% off. If the original price was $62.40, what was the sale price of the stereo?
Answer:
89.14
Step-by-step explanation:
One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
the answer is 9
Step-by-step explanation:
PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
25 units should be right
Step-by-step explanation:
prove me wrong
You are flying your dragon kite. It's connected to 40yd of string. The kite is directly above the edge of a pond. The edge of the pond is 36yd from where the kite is tied to the ground. How high is the kite above the edge of the pond?
We have a right triangle with hypotenuse 38 and leg 34.
We want to find the other leg.
We use the Pythagorean Theorem:
-5/12 - (-9/3)=
Help me please
Answer:
HOW T.F DO YOU NOT
Step-by-step explanation:
-5/12+3
2 7/12
UST CAUSE
Answer: -5/4
Step-by-step explanation:
Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?
Answer:
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Step-by-step explanation:
Given that:
Distance walked from school to Bocas house = 1/4 miles
Distance walked from Paul's house to the park = 4/6 miles
Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]
Total distance walked = [tex]\frac{3+8}{12}[/tex]
Total distance walked = [tex]\frac{11}{12}[/tex] miles
Hence,
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}
B.
explanation:
whhdhdhdhehehgaahakkabdvdvhabs
Is the following equation proportional or non-proportional?
y = -4x - 3
Answer:
proportional
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
Use the rules of transformations to compare the graphs of the functions, f(x) =1/x
and g(x) =5/x-1
following options represents the asymptotes of the functions, f(x) and g(x) Select all that apply.
y= -1
y=0
x=-1
y=1
X= 2
Answer:
first and second
Step-by-step explanation:
asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)
asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0
you can graph it on desmos
Noah was assigned to make 64 cookies for the bake sale. He made 25% MORE than that. How many cookies did Noah make? Explain how you got your answer.
PLEASE HELP MEH! WILL MARK BRAINLIEST!! DUE TODAY
Answer:
8 cookies were left after the bake sale. 72 were sold.
Step-by-step explanation:
64*1.25= 80
80*.9= 72
8
125% of 64 is equal to 80.
90% of 80 is equal to 72.
The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8
10% × 125% × 64 = 0.125 × 64 = 8
thats all i could really come up with at the top of my head
Witch fraction is equivalent to 2/3
Answer: 4/6, 6/9, 8/12, 10/15, 12/18, 14/21
Step-by-step explanation:
These r just a few hope this helps ;)
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?
PLEASEEEE I WWILLL GIVE BRAINLEIST 6b. In Renton the sales tax is 9%. What is the total cost including tax on a $20 purchase?
Simplify 6(5x-1)-3(2x-10)
Answer:
30x-6-6x-30
30x-30x-6-6
0-12
-12
Please help me. Thank you...
9514 1404 393
Answer:
V = (x)(10-2x)² . . . . factored form
V = 4x³ -40x² +100x . . . . standard form
Step-by-step explanation:
A square with corners cut out has no volume. It is a plane figure.
__
We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...
V = LWH = (10-2x)(10-2x)(x)
V = x(10 -2x)²
_____
The graph shows the volume is a maximum when x = 1 2/3 cm.
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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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
20 to the power of 3 divided by 2
Answer:
4000
Step-by-step explanation:
20 to the power of 3 is 8000 and 8000/2 is 4000
Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
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:
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
Find the Value of “Y”.
Answer:
26
Step-by-step explanation:
7x - 28 = 5x + 12 and 5x + 12 + y = 180
The angle (7y - 28) and angle y are supplementary angles which means their sum is 180°
7y - 28 + y = 180 add like terms
8y - 28 = 180 add 28 to both sides
8y = 208 divide both sides by 8
y = 26
if there are 45 seats in 9 rows how many seats are in 1 row.
Answer: Their is 5 seats in 1 row.
Step-by-step explanation: 9x5=45 and 45÷9=5
