Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches. The z score corresponding to a woman with a height is 2.56. How tall is the woman?
Answer:
70
Step-by-step explanation:
Had this question too ;)
On a map, 2 inches equals 180 miles. The distance that a family travels is 3.5 inches on the map. Represent the scale as two different ratios. What is the actual distance the family travels?
Answer:
315
Step-by-step explanation:
2/180=3.5/x
2x=630
x=315
What is the simplified form of |-10-(-20)|-|-6+2|+|12-6|
Answer:
12
Step-by-step explanation:
|-10+20| - |-4| + |6|
10 - 4 + 6
12
I need the answer and work please.
Answer: you prob fininshed 5,3
Step-by-step explanation:
also this is easy im srry for doing this
it is given that the rainfall in 2017 of 420mm was 25% more than in 2016. Find the annual rainfall in 2016
The annual rainfall in 2016 is 336 mm.
Let the annual rainfall in 2016 be 100x mm.
Now it is given that rainfall in 2017 is 25% more than rainfall in 2016.
So. rainfall in 2017 is = 100x + 100x*(25/100) = 100x+25x = 125x mm
Also given that the amount of rainfall in 2017 = 420 mm.
According to question the suitable equation is,
125x = 420
x = 420/125
x = 3.36
Hence the rainfall in 2016 is = 100x = 100*3.36 = 336 mm.
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The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?
Answer:
Let the girls be x
then, 5:4 = 5x and 4x
,
total stud.=36 so,
5x+4x=36
9x=36
x=36÷9
hence
x=4
now, boys = 5x=5×4=20
girls= 4x=4×4=16
so there are 16 girls
See the question above. I don’t understand how I was wrong to do the LCM of 50 and 60, which is 300, so that’s the distance where the friends will meet, and d/s = time, so 300/50 and 300/60 are 6 and 5, and the average of that is 5.5, but the real answer seems to be approx. 18.2? Please solve the question AND explain my mistake.
Answer:
Step-by-step explanation:
so this is a combined work problem, both of the people are moving towards each other. They are both doing some of the work to move towards each other.
one is moving at 50 , the other at 60 , directly towards each other. Now change the problem to one moving at 50+60 =110 at a destination 200 away
now you can solve this pretty easily , i'm guessing
200/110 = 1.818181
or approx. 1.82 hours
got it?
Use the table below to find d/dx[5f(x)-4x] x=2
The value of derivative of d/dx[5f(x)-4x] at x=2 = 16.
From the table:
At x=2,
f'(x) = 4
f(x) = 4x
= d/dx(5*4x - 4x)
= d/dx(20x - 4x)
= d/dx(16x)
= 16
Therefore the value of derivative of d/dx[5f(x)-4x] at x=2 = 16.
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Consider triangle XYZ with altitude WZ. What is XZ?
X
W
N
28
21
Y
The value for the side of rectangle XZ is equal 14, using the trigonometric ratios of cosine and sine of angles.
What is trigonometric ratios?The trigonometric ratios concerns the relationship of an angle of a right-angled triangle to ratios of two side lengths. The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the triangle WYZ, the cosine of angle Y;
cos(Y) = 21/YZ {adjacent/hypotenuse}
YZ = [21/cos(Y)] {cross multiply}
Considering the triangle XYZ, the cosine of angle Y;
cos(Y) = YZ/28
YZ = 28 × cos(Y)
Therefore,
28cos(Y) = [21/cos(Y)]
cos²(Y) = 21/28 {cross multiply}
cos(Y) = √(21/28) {take the square root of both sides}
cos(Y) = 0.8660
Y = cos^(-1)(0.8660) {cross multiply}
Y = 30°
To get the side XZ, considering the triangle XYZ the sine of 30°;
sin30° = XZ/28 {opposite/hypotenuse}
by cross multiplication
XZ = 28 × sin30°
XZ = 14
Therefore, by proper application of the trigonometric ratios of cosine and sine of the angle for the given triangle, the side XZ = 14.
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Need help with question
a) The decay formula for the mass of Strontium-90 is m(t) = 75 · [tex]e^{-t /40.395}[/tex].
b) The sample of Strontium-90 has a mass of approximately 13.258 miligrams after 70 days.
c) The sample of Strontium-90 takes a time of approximately 146.405 days.
How to model the mass decay of a sample of Strontium-90
The mass of Strontium-90 decays exponentially in time, whose model is described below:
m(t) = m' · [tex]e^{- t /\tau}[/tex]
Where:
m' - Initial mass of the isotope, in miligrams. m(t) - Current mass of the isotope, in miligrams. τ - Time constant, in days.And the time constant can be estimated by the following formula:
τ = t' / ㏑ 2
Where t' is the half-life of the isotope.
a) If we know that m' = 75 mg and t' = 28 d, then the expression for the mass of the sample is:
τ = 28 / ㏑ 2
τ ≈ 40.395 d
m(t) = 75 · [tex]e^{-t /40.395}[/tex]
b) And the mass of the isotope after 70 days is:
m(70) = 75 · [tex]e^{- 70 / 40.395}[/tex]
m(70) ≈ 13.258 mg
The current mass is approximately 13.258 miligrams.
c) If we know that m(t) = 75 · [tex]e^{-t /40.395}[/tex] and m(t) = 2 mg, then the time needed for the decay is:
75 · [tex]e^{-t /40.395}[/tex] = 2
[tex]e^{-t /40.395}[/tex] = 2 / 75
- t / 40.395 = ㏑ (2 / 75)
t = - 40.395 · ㏑ (2 / 75)
t ≈ 146.405 d
The needed time is approximately 146.405 days.
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Factor 3x+11y if the expression cannot be factored
The expression 3x+11y cannot be factorized.
What is factorization?
To factorise an algebraic statement, we first identify the terms' highest common factors before organising the words in the appropriate way. An algebraic expression's factorization is, to put it simply, the process of expansion in reverse. The same way, as the product of their factors, are the algebraic expressions written in algebra. The only difference is that in an algebraic expression, variables and integers are combined to perform mathematical operations like addition or subtraction.
Here the given expression 3x+11y didn't have any common factors.
The given expression has two variables 3x and 11y and they didn"t have any common terms.
Hence the expression 3x+11y cannot be factored.
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14. Reflection: in the line y=x
Rotation: 180 about the origin
The image of the end points X(-3 , 1) and Y(4 , -5) is
X'' = (-1 , 3) and Y'' = (5 , -4).
Given, a line segment with end points X(-3 , 1) and Y(4 , -5)
We have to find the image of the points after the given composition,
Reflection in the line y = x.
Rotation 180° about the origin.
After the reflection the image of the points X and Y be,
X' = (1 , -3) and Y' = (-5 , 4)
Now, after the rotation of the points of 180° about the origin be,
X'' = (-1 , 3) and Y'' = (5 , -4)
Hence, the image of the end points X(-3 , 1) and Y(4 , -5) is
X'' = (-1 , 3) and Y'' = (5 , -4).
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If Pam has 40 dollars in her account, how much money does her brother have in his account? Use a tape diagram to
support your answer.
Answer:
[tex] \binom{?}{?} [/tex]
Step-by-step explanation:
$40 Pam use type diagram
$45. bro
The sum of two numbers is 42. The sum of 5 times the 1st number and 9 times the 2nd number is 190. What are the two numbers?
Step-by-step explanation:
x + y = 42
5x + 9y = 190
x = 42 - y
5(42 - y) + 9y = 190
210 - 5y + 9y = 190
210 + 4y = 190
4y = -20
y = -5
x = 42 - y = 42 - -5 = 42 + 5 = 47
How many values of x must be excluded in the expression (x+9)(x-5)?
The number of values of x to be excluded is 2.
To find out the values of x that must be excluded in the expression
(x+9)(x-5) as follows:
The value of x is 2.
We are given to find the number of value of x that must be excluded in the expression below:
E = (x+9)(x-5)
We have to exclude those values of x for which the expression E becomes undefined.
Since E is a rational expression, so the becomes undefined only when the denominator becomes 0.
That is,
(x+9)(x-5) = 0
= x+9 = 0 x-5 = 0
= x = -9 x = 5
Therefore, we need to exclude the values x = -9 and x =5.
So, there are two values of x to be excluded from the given expression.
Hence the answer, the number of values of x to be excluded is 2.
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A restaurant has 33,500 gallon aquarium and a 500 gallon aquarium. How many times greater is the capacity of the larger aquarium than the smaller aquarium?
Answer:
67
Step-by-step explanation:
33,500/500 = 67
To check our work:
67 x 500 = 33,500
Answer:
67 percentStep-by-step explanation:
The function f(x) is graphed below. What is true about the graph on the interval from point e to point f?
Answer: It is positive and increasing
Step-by-step explanation:
From point e to f it is clearly going up, and is part of the positive side of the graph.
Is it possible for a number to be a product of 2, a product of 5,
and a product of 10? Explain.
Answer: Yes
Step-by-step explanation:
Yes, it is because if you multiply 2 and 5, you get 10. 2 and 5 LCM is also 10. If you check 2 and five multiples you see this is also proved true.
2 - 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ...
5 - 5, 10, 15, 20 ...
According to a recent survey of 43 million citizens in the United States, 8 million were planning to start a new degree program or continue their education in the next year. According to this data, what is the probability that a random U.S. citizen you meet is not planning to start a new degree program or continue their education in the next year? (Round to four decimal places.)
The probability of people not planning a new degree = [tex]\frac{35}{43}[/tex]
What is probability ?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
And while solving these type of question we calculate the probability of a particular event.
The survey has 43 million people
Given is 8 million were planning to start a new degree program
Thus the probability of people planning a new degree program = 8 million divided by 43 million
Thus the probability of people not planning a new degree = 1 - [tex]\frac{8 million}{43 million}[/tex]
which is equal to [tex]\frac{35,000,000}{43,000,000}[/tex]
which on solving further will give us:
P ( people not planning a new degree ) = [tex]\frac{35}{43}[/tex]
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Please help. Find x and y. NEED ASAP
Answer:
x=10
y=5
Step-by-step explanation:
you have to find the length
How much money must be deposited today to become $2250 in 20 years at 5.5%
compounded continuously?
The deposit must be $
(Round to the nearest cent as needed.)
The amount of money that must be deposited today is $749 .
In the question ,
it is given that ,
the amount that is need to be made (A) = $2250
time (t) = 20 years
rate percent (r) = 5.5% = 0.055
let the amount that must be deposited today be P .
The amount that is needed to be deposited today at 5.5% compounded continuously can be calculated using the formula .
A = P×[tex]e^{r\times t}[/tex]
Substituting the values , we get
2250 = P × [tex]e^{0.055\times 20}[/tex]
2250 = P × [tex]e^{1.1}[/tex]
P = 2250/ [tex]e^{1.1}[/tex]
P = 748.9599
P ≈ 749
Therefore , The amount of money that must be deposited today is $749 .
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Julie had $20.00 in her pocket. She spent $7.40. About what percent of her money does she still have?
63%
First, we have to take 20.00 - 7.40 which gets us 12.60.
Then, we use the formula where we put the 12.60 on top of a fraction bar, and the 20.00 on bottom.
We do 12.60 x 100 which makes 1260.
Lastly, we divide that by the 20.00 which gets us 63.
So, Julie has 63% of her money left.
I hope this helped!!!
Which expression shows the distance on the number line between -12 and negative one
Answer: (-12,-1)
Step-by-step explanation: Point A=-1 and Point B=-12
:)
4.5÷0.9= what is 4.5 divided by 0.9 equal to .explain
Answer: The answer is 5.
Step-by-step explanation:
4.5 ÷ 0.9 = 450/90.
Convert decimal 4.5 to fraction 45/10
Convert decimal 0.9 to fraction 9/10
Divide 450/90
Simply 450/90 = 5
Answer:
5
Step-by-step explanation:
Suppose that the volume of water in the rain barrel decreased by 4
58
gallons in 4 minutes. What will be the change in the volume of water after 1 minute.
The change in the volume of water after 1 minute is 1 5/32 gallons.
How to calculate the change in volume?Given that the volume of water in the rain barrel decreased by 4 5/8 gallons in 4 minutes.
The change after 1 minute will be:
= Total volume of water / Number of minutes
= 4 5/8 ÷ 4
= 37/8 ÷ 4
= 37/8 × 1/4
= 37 / 32
= 1 5/32
The change is 1 5/32 gallons.
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4.8 is what percent of 12
Answer:40%
Step-by-step explanation:
2009
Evaluate x y for the following values of x and y.
value of x value of y value of xy
1
5
-205
1
67
1
-1
11
.
-1
-7.93
-1
-11
Answer:meh
Step-by-step explanation:good enough
NO LINKS!! Please help me with this symmetry part 2
Functions that are symmetric with respect to the x-axis are those with even degree of y, i.e y², y⁴ etc.
Correct choices are:
x = 1/8y²x = - y² + 9
Answer:
[tex]x=\dfrac{1}{8}y^2[/tex]
[tex]x=-y^2+9[/tex]
Step-by-step explanation:
Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:
f(x, y) = f(x, −y)To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.
Therefore, any function that includes the term y² will be symmetric with respect to the x-axis since (-y)² = y².
[tex]\begin{aligned}&\textsf{Given}: \quad& x&=\dfrac{1}{8}y^2\\&\textsf{Replace $y$ for $(-y)$}: \quad& x&=\dfrac{1}{8}(-y)^2\\&\textsf{Simplify}: \quad &x&=\dfrac{1}{8}y^2\\\end{aligned}[/tex]
Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the x-axis.
[tex]\begin{aligned}&\textsf{Given}: \quad& x&=-y^2+9\\&\textsf{Replace $y$ for $(-y)$}: \quad& x&=-(-y)^2+9\\&\textsf{Simplify}: \quad &x&=-y^2+9\\\end{aligned}[/tex]
Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the x-axis.
3. Use the graph of f(x) below to answer the following questions. Approximate answers are okay.
Answer:
Step-by-step explanation:
f(0) = 4
f(x)=0 when x = 0.75
f(x) =5 when x =3
A{ x ∈ R ║ 3≤x}
IXL Help Fast Please!
The equation of the line d that is parallel to line c is y = -5x + 4.
How to find the equation of a line in slope intercept form?The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, c has an equation y = -5x + 3. Line d is parallel to line c. Therefore, they have the same slopes. Parallel lines have the same slope.
Hence, let's find the equation of line d passing through (2, -6)
Let's find the y-intercept
-6 = -5(2) + b
-6 = -10 + b
b = -6 + 10
b = 4
Therefore, the equation of the line d is y = -5x + 4
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