Answer:
y= -3/5x+4
Step-by-step explanation
use elimination to solve the system of equations 9x-2y=30 and x-2y=14
Answer:
Step-by-step explanation:
9x - 2y = 30
x - 2y = 14
9x - 2y = 30
-x + 2y = -14
8x = 16
x = 2
2 - 2y = 14
-2y = 12
y = -6
(2, -6)
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.
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What is the range of the mapping?
Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =
The function f(x) for the input values are f(-2) = 2, f(0) = 3 and f(4) = -1
How to evaluate the piecewise function f(x) for the input valuesFrom the question, we have the following parameters that can be used in our computation:
The graph of a function and a set of input values
The input values are given as
–2, 0, and 4
Next, we read the above input values from the graph
Using the above as a guide, we have the following:
f(-2) = 2
f(0) = 3
f(4) = -1
Hence, the values are f(-2) = 2, f(0) = 3 and f(4) = -1
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Tamara is bringing refreshments to a
reception for 23 people. She estimates one
liter of juice for 5 people. How much juice should Tamara buy in liters.How many milliliters of juice is this.
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?
Answer:
k= 4/3
Step-by-step explanation:
distribute 9 9k- 18=-6
add 18 to both sides 9k= 12
divide by 9
The value of k is 4/3 or 1.334.
What is Equation?A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.
An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.
Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.
Given equation
9(k - 2) = -6
9k - 18 = -6
add 18 both sides
9k - 18 + 18 = -6 + 18
9k = 12
k = 12/9 =4/3 = 1.334
Hence the value of k is 4/3 or 1.334.
Learn more about equation;
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solve 2x-3y=3 for y can i get some help
Someone help ASAP PLEASE
Answer: 7 1/2 minutes
Answer:
7.5 mins.
Step-by-step explanation:
We know the unit rate is 1.5 mins for 1 km. So we can just multiply both numbers by 5.
1.5/1 = 7.5/5
It takes a shark 7.5 (7 1/2) minutes to swim 5 km.
Evaluate the expression 9 + (7 - 4)2 ÷ 3.
6
3
18
12
Answer:
11
Step-by-step explanation:
None of these answer choices you have are correct. you have to do parentheses first, which gives you 9 + (3)2/3, then you do division which gives you .6666666666, then you multiply that by 3 and you get 2 and add that to 9
Factor the polynomial completely.
3x^(2) - 8x + 5
Answer:
(x-1) (3x-5)
Step-by-step explanation:
i hope this helps have a wonderful day!
Answer:
i am only in 8th grade but this is the answer
(x-1)(3x-5)
Step-by-step explanation:
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
The width of the rectangle is 40% of its length. What is the area of the rectangle?
A rectangle. The length is 20 feet.
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
The width of the rectangle is equal to 8 feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the width of the rectangle is 40% of its length.
The width will be calculated as,
W = 0.4 x L
W = 0.4 x 20
W = 8 feet
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A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?
Answer:
no, three one way tickets are cheaper by 0.40 cents
Step-by-step explanation:
A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?
My explanation; 1.60+1.60= 3.20+1.60=4.80. so three one way trips will equal out to be 4.80, while a day pass is 5.20.
how many times can 200 go into 4879
Answer:
24
Step-by-step explanation:
Divide 5,917 ÷ 37 = ________.
161 r 9
161 r 34
159 r 9
159 r 34
Answer:
the last one
Step-by-step explanation:
37*159+34=5917
Answer:
159 r 9
Step-by-step explanation:
Anyone help please, can anybody help me with these questions?
Answer:
what are they
Step-by-step explanation:
we cant see anything
!! PLEASE help !
Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .
Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).
For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).
Please I need help like now
Answer:
it's is d
Step-by-step explanation:
seening this info
for every 2/3 of cold water there is 1/2 of vegetable Oil
to make this answer complte if if we add a another cup of water the amount that is requared and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3
Hence 4/3 or D is right
Divide 18 and 904 please I don’t want to be wrong
Answer:
452/9 or 50 2/9
Step-by-step explanation:
I don’t know if theses are the right answer that’s what I got
I hope so they are right
Solve using Substitution Method. 5x-y=-6 10x+3y=-32
Answer:
x= -2
y= -4
Step-by-step explanation:
1) solve for y in 5x-y= -6
which would be y= 5x+6
2) substitute that in for y in the second equation
which would be 10x+3(5x+6)= -32
3) solve that new equation
which would be x= -2
4) plug x= -2 into either equation (the shorter equation is the one i chose)
which would be 5(-2) - y = -6
5) solve that new equation
which would be y= -4
Parallelogram ABCD is a square. The length of side BC = x +4 and the perimeter of ABCD = 80, what is the length of side BC?
Answer: 20
Step-by-step explanation: ABCD Equals 80 so each side would be 20. 20 , 40 , 60 , "80".
Answer:
the answer is 20 i got it right on the test
Step-by-step explanation:
a + bx: a = 15,b= -4, and x = -3
help 5 start rating helpp\ plzzzzz
Answer:
hwbqjakakakakakakamamakjajajq
1 is 25% of what number?
Answer:
4
hope it helps.........
Answer:
1 is 25% of 4
Step-by-step explanation:
let the number be x,
so, 25% of x = 1
=》25/100 × x = 1
=》 1/4 × x = 1
=》 x = 1×4
=》 x = 4
hence the required number is 4
i hope u got it
i giveee brainlilsttt
Answer:
-5,1
Step-by-step explanation:
hope that helps
:))))))
Jose won 59 pieces of gum playing basketball at the county fair. At school he gave three to every student in his math class. He only has 5 remaining. How many students are in his class?
Answer:
18
Step-by-step explanation:
59 - 5 = 54
54 / 3 = 18
Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please
Answer:
[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]
Step-by-step explanation:
In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.
The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].
We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.
[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation
[tex]y = \frac{1}{4}x + 5[/tex].
Hope this helped!
I need a little help here, please and thank you guys
Answer-So the dimensions of the rectangle are width is 4 m and length is 11 m
Step-by-step explanation:
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = x
Length = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,
30=2x+4x+6 combining like terms
30=6x+6 subtracting 6 from both sides,
24=6x divide both sides by 6
4=x This means that the width is 4 m
To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for
L=2(4)+3
L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m
16.437 rounded to the nearest tenth is 16.4.
Answer:
yes
Step-by-step explanation:
Answer:
16.437 rounded to the nearest tenth is 16.4
Step-by-step explanation: