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Related Questions
The lengths of infants at birth in a certain hospital are normally distributed with a mean of 18 inches and a standard deviation of 2.2 inches. find the probability that an infant selected at random from this hospital measures between 16 and 21 inches.
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Standard deviation, SD = 2.2 in
Range: 16 ≤ X ≤ 21 in
Calculating Z value,
Z = (X-m)/SD
Then,
Z1 = (16-18)/2.2 ≈ -0.91
Z2 = (21-18)/2.2 ≈ 1.36
From Z table, and at Z1 = -0.91, and Z2 = 1.36;
P(16) = 0.1814
P(21) = 0.9131
Therefore,
P(16≤X≤21) = 0.9131 - 0.1814 = 0.7317
The probability that a child selected randomly measures between 16 and 21 in is 0.7317.
Find the coordinates of the image after a translation of the figure below using (x, y) (x + 3, y + 2).
A'(
a1,
a2)
B'(
a3,
a4)
C'(
a5,
a6)
D'(
a7,
a8)
Answers
The coordinates are
A(-4,-3) →A'(-1, -1)
B(-1, 1) → B'(2, 3)
C(3, 5) → C'(6, 7)
D(2,-5) → D'(5,-3)
Step-by-step explanation:
Given the graph of figure whose coordinates are
A(-4, -3), B(-1, 1), C(3, 5), D(2, -5)
We have to find the coordinates of the image after a translation using T(x, y) → (x + 3, y + 2).
Coordinates after translation are
A(-4,-3) → A'(-4+3, -3+2)=A'(-1, -1)
B(-1, 1) → B'(-1+3, 1+2)=B'(2, 3)
C(3, 5) → C'(3+3, 5+2)=C'(6, 7)
D(2,-5) → D'(2+3, -5+2)=D'(5,-3)
which are required coordinates of the image after a translation of the figure below using (x, y) → (x + 3, y + 2).
hope this helps :)
(a) [5 points] using only the definition, find the laplace transform y (s) of y(t) = e a t where a is a constant. for what values of s does the laplace transform y (s) exist? (b) [10 points] solve, using laplace transforms, the initial value problem: y 00 − 4y 0 + 4y = 3, y(0) = 0, y0 (0) = 1.
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hey can you please help me posted picture of question
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The solution is shown below:
[tex] x^{2} +16 \\ \\ = x^{2} +(4)^{2} \\ \\ = x^{2} -(-1)(4)^{2} \\ \\ = x^{2} -i^{2} (4)^{2} \\ \\ = x^{2} -(4i)^{2} \\ \\ =(x+4i)(x-4i) [/tex]
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. Let P(t), left parenthesis, t, right parenthesis denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula
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The function's formula that represents the number of pages Naoya has left to read at time t would be P(t) = 570 - 55t.
Explanation:From the information given we know that Naoya reads at a rate of 55 pages per hour. After 4 hours of reading, he still has 350 pages left to read. This means that before he started reading, he had (55 pages/hour * 4 hours + 350 pages) = 570 pages in total. Since he reads at constant rate, the function that describes the remaining pages to read would be P(t) = 570 - 55t, where t represents the time in hours and P(t) is the number of pages left to read.
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Solve for y in terms of x.
2/3y - 4 = x
Please help . Time is critical for me in school rn
Answers
Answer:
[tex]y=\frac{3}{2}(x+4)[/tex]
Step-by-step explanation:
We are given
[tex]\frac{2}{3}y-4=x[/tex]
Since, we have to solve for y
so, we will isolate y on anyone side
Firstly, we add both sides by 4
[tex]\frac{2}{3}y-4+4=x+4[/tex]
[tex]\frac{2}{3}y=x+4[/tex]
Multiply both sides by 3
[tex]3\times \frac{2}{3}y=3\times(x+4)[/tex]
[tex]2y=3\times(x+4)[/tex]
now, we can divide both sides by 2
and we get
[tex]y=\frac{3}{2}(x+4)[/tex]
A ____________ is a graph that uses adjacent rectangles to display frequencies, or relative frequencies, of quantitative data values. box-and-whisker plot histogram convenience sample mean absolute deviation
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Explanation:
In simple terms histogram is a graph that consists of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval. It represents the distribution of the numerical data. Hence the correct answer is histogram as it conforms to the explanation about graph given in the question.
what is the slope of the line
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hope it helps
4/1= 4
The scale factor of the dilation of figure ABCD is?
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2 is the scale factor of the dilation of figure ABCD
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
The scale factor of a dilation is a number that represents how much a figure's size alters following a dilation. It is the ratio of similar sides' lengths in the original and dilated figures.
A figure is stretched or extended if the scale factor is larger than 1, and lowered or shrunk if it is less than 1. If the scale factor is 1, the dilation has no effect on the figure; if it is less than 1, the figure is reflected beyond the line of dilation.
The scale factor is represented by the symbol k, and its value may be determined using the formula below:
k = Length of the corresponding side in the dilated figure / Length of the corresponding side in the original figure.
On the given figure,
Before dilation the measurement of the side AD = 1 unit.
After dilation the measurement of the same side = 2 units
Thus, from the formula
k = 2/1
k=2
Therefore, The scale factor of the dilation of Figure ABCD is 2.
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The diameter of a small gear is 16cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger g!ear
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16 cm = 2.5 cm + (1/4)*(large gear diameter)
We can subtract 2.5 cm and multiply by 4 to find the large gear diameter.
13.5 cm = (1/4)*(large gear diameter)
54 cm = (large gear diameter)
The diameter of the larger gear is 54 cm.
A plane left Chicago at 8 A.M. At 12 P.M., the plane landed in Los Angeles, which is 1,700 miles away.
If the plane travels at a constant rate, how many miles did it travel per hour?
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12 pm - 8 am = 4 hours
now divide the total miles traveled by the amount of time travleed:
1700 miles / 4 hours = 425 miles per hour
Use the drop-down menus to identify the method used to collect data for each scenario. Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years. Mia asked 20 random students at her school how many hours they spend on the computer each day. Beatriz recorded the number of customers entering a store for each hour interval.
Answers
Answer:
Step-by-step explanation:
Given:
1) Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years.
Published data - Already recorded data used
2) Mia asked 20 random students at her school how many hours they spend on the computer each day.
Survey by Random sampling -- since a small size of whole population selected at random
3) Beatriz recorded the number of customers entering a store for each hour interval.
This is observational data because data was collected after really observing and recording the number of customers entering a store for each hour interval.
If the diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters, what is the approximate volume of the roll of pennies? Use 3.14 for π and round your answer to the nearest tenth.
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[volume of the roll of pennies]=pi*r²*h
r=19.05/2-----> 9.525 mm
h=1.52 mm
[volume of the roll of pennies]=pi*(9.525)²*1.52---> 433.02 mm³----> 433 mm³
the answer is
433 mm³
Answer:
Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).
Step-by-step explanation:
Given : diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters.
To find : volume of the roll of pennies.
Solution : We have given that
Diameter of a penny = 19.05 millimeters.
Width of each penny = 1.52 millimeters.
Volume of cylindrical roll of penny = pi * r² * h
Where, r = radius , h =height
Radius = [tex]\frac{Diameter}{2}[/tex]
Radius= [tex]\frac{19.05}{2}[/tex].
Radius = 9.525 mm
Plugging the values of r , h and pi = 1.14.
Volume of cylindrical roll of penny = pi * r² * h
Volume of cylindrical roll of penny =3.14 * (9.525)² * 1.52
Volume of cylindrical roll of penny = 433.02 mm³
Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).
Therefore, Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).
how will the volume of the pyramid change if each side is multiplied by a factor of 1/2
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[volume of a original cone]=(1/3)*pi*r²*h
[volume of a dilated cone]=(1/3)*pi*(r/2)²*(h/2)--->(1/8)* [(1/3)*pi*r²*h]
so
[volume of a dilated cone]=(1/8)* [volume of a original cone]
the answer is
the volume of the cone will be reduced one eighth
When paying off debts ,you should ___ .
A. pay the minimum
B.pay as much as possible
C.pay slightly more than the minimum
D.pay exactly half of what you owe
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B.pay as much as possible
Step-by-step explanation:
Debts are unpaid money that a person owes to its lenders. The lender can be any bank or any other financial institution or any person.
Long accumulated debts on banks, if not paid, can result in a person filing for bankruptcy. So, it is always good if you pay your debts on time.
Paying minimum or slightly more than minimum amount will result in paying more in the near future. It is possible that if you always pay minimum amount, you will not be able to clear debts anytime soon.
So, its best that if you have money, always pay as much as possible to get rid of your debt.
determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.
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The 7th term of the geometric sequence with the first term being 5 and a common ratio of 2 is calculated using the formula Tn = [tex]a * r^{n-1}[/tex]. The 7th term is found to be 320.
The question asks us to determine the 7th term in a geometric sequence where the first term is 5 and the common ratio is 2. The formula for the nth term of a geometric sequence is given by
Tn = [tex]a * r^{n-1}[/tex], where Tn is the nth term, a is the first term, r is the common ratio, and n is the term number. Substituting the given values into the formula, we can find the 7th term as follows:
T7 = [tex]5 * 2^{(7-1)}[/tex] = 5 * 2⁶ = 5 * 64 = 320. Hence, the 7th term of the geometric sequence is 320.
hey can you please help me posted picture of question
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D. x
_____
This is the purpose and meaning of an inverse function. Using inverse functions is the way we solve equations involving functions. They "undo" the effect of the function.
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa. I.e., f(x) = y if and only if g(y) = x.
To prepare for the party, the host made a large batch of punch. The recipe makes 8 gallons of punch. How many cups of punch can be served from this batch?
A. 24
B. 128
C. 64
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Find the measure of the central angle that you would draw to represent 67% in a circle graft round your answer to the nearest degree
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360 degrees ----> 100%
x -----------------> 67%
Clearing x we have:
x = (67/100) * (360)
x = 241.2 degrees:
round to the nearest degree
x = 241 degrees
Answer:
the measure of the central angle that you would draw to represent 67% in a circle graft is:
x = 241 degrees
then, 67% of 360 degrees is equal to 241.2 degrees
Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?
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Let the age of the Jane be [tex] x [/tex]
So age of Helen = [tex] x [/tex] + 8
Twenty years ago,
Age of Jane = [tex] x [/tex] - 20
And age of Helen = [tex] x [/tex] + 8 - 20 = [tex] x [/tex] - 12
Helen was three times as old as Jane
[tex] x [/tex] - 12 = 3 ([tex] x [/tex] - 20)
[tex] x [/tex] - 12 = 3 [tex] x [/tex] - 60
Add - 3[tex] x [/tex] on both sides,
[tex] x [/tex] - 3 [tex] x [/tex] - 12 = 3 [tex] x [/tex] - 3 [tex] x [/tex] - 60
-2[tex] x [/tex] - 12 = - 60
Add 12 on both sides
-2[tex] x [/tex] - 12 + 12 = - 60 + 12
-2[tex] x [/tex] = - 48
Divide both side by -2
[tex] \frac{-2x}{-2}=\frac{-48}{-2} [/tex]
[tex] x [/tex] = 24
Age of Jane = 24 yrs
Age of Helen = 32 yrs
what does 1/2x+30=55 equals?
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[tex] \frac{1}{2}x = 25 [/tex]
Multiply both sides by 2 to get x by itself.
[tex]x = 50[/tex]
The answer is x = 50.
-30 -30
1/2x=25
*2 *2
x=50.
can someone help me!!!
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s=√A
s=√2940
s1= 54.22
s 2= √62
s2= 7.9
e is correct
at the end of his shift, Bruno had $340 worth of tips all in $10 and $20 bills .if he had two more $20 bills than $10 bill .how many of each bill did Bruno have
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A woman is looking for a bigger square office. She finds an office twice the area of her current office. if the perimeter of her current office is 88feet, how many square feet is the new office?
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The woman's new office has twice the area of her current office. By calculating the side length of the current square office from the perimeter and then finding the area, we determine the new office's area to be 968 square feet.
The question asks about calculating the area of a larger office which is twice the area of the woman's current office. Knowing the current office perimeter allows us to find the side length of the current square office and use it to calculate the area of both the current and the new office.
Calculate the side length of the current office from the given perimeter. The formula for the perimeter of a square is 4 × side length. Given that the perimeter is 88 feet, we divide by 4 to find that the side length of the current office is 22 feet. (88 ÷ 4 = 22)To find the area of the current office we square the side length (side length × side length). Thus, the area is 22 feet × 22 feet = 484 square feet.The new office has twice the area of the current one, so its area is 2 × 484 square feet = 968 ft².The area of the new, larger office is 968 ft².
Suppose that $2000 is invested at a rate of 2.1% compounded annually. Assuming that no withdrawals are made find the total amount after 5 years. Do not round any intermediate computations, and round your answer to nearest cent.
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Amount=2,000×(1+0.021)^(5)=2,219
hey can you please help me posted picture of question
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f (c) = (9/5) c + 32
Substituting the value of c = 20 we have:
f (20) = (9/5) (20) + 32
Rewriting we have:
f (20) = (9) (4) + 32
f (20) = 36 + 32
f (20) = 68
Answer:
The conversion for this case is given by:
f (20) = 68
option A
express 0.41 as a fraction in simplest form
Answers
Your answer would be 44/100
Hope that helps!!!
Express 0.41 as a fraction in the simplest form will be 41/100.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The number is 0.41.
Then express 0.41 as a fraction in the simplest form will be
⇒ 0.41
Multiply and divide by 100. Then we have
⇒ 0.41 x 100 / 100
⇒ 41 / 100
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What is the complete factorization of r2 - 6r - 9s2 + 9? A) (r - 3 + 3s)(r - 3 - 3s) B) (r + 3 + 3s)(r - 3 - 3s) C) (r - 3 + 3s)(r - 3 + 3s)
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We have factorized the expression 'r2 - 6r - 9s2 + 9' into (r - 3)^2 - (3s)^2 and then used the difference of squares formula to find the factorization as (r - 3 + 3s)(r - 3 - 3s). So the correct answer is option A)
Explanation:The question asked for the complete factorization of the expression r2 - 6r - 9s2 + 9. To factorize this, we can rewrite it into the formula form of a perfect square, which is a^2 - 2ab + b^2 = (a - b)^2.
Our expression fits this form when a = r and b = 3s. Following this, we can rewrite the expression as (r - 3)^2 - (3s)^2 = (r - 3 + 3s)(r - 3 - 3s). Therefore, the correct answer is option A) (r - 3 + 3s)(r - 3 - 3s)
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dose any one know these 4 answer i am raly struggling and i need the help asap
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Remember that the equation for circumference is 2(pi)(r). For the first question, we are given the circumference, 235.5 cm. So, we can reverse this equation to find the radius, so 235.5=2(pi)(r). We divide 235.5 by 2 to get 117.25, and then divide it by pi to get approximately 37.5 cm. Now we multiply by 2 to find the diameter since d=2r, and the diameter is about 75 cm, or D.
We can do the same thing for the second question, so 141.3=2(pi)(r), or 70.65=(pi)(r). Dividing this by pi results in r=22.5 ft, D. again.
Now we can do the same for the third question, and make the equation 47.1=2(pi)(r), or 23.55=(pi)(r). Now divide by pi and get r=7.5. Multiplying this by 2 for diameter yields 15 in, or B.
For the last problem, you do 157=2(pi)(r), or 78.5=(pi)(r). Dividing 78.5/pi=25. So, r=25 m, or A.
Hope this helps!
What is the quotient? x-1/7x2-3x-9
Answers
The quotient of the expression (x - 1)/(7x² - 3x - 9) cannot be determined
How to determine the quotient of the expression
From the question, we have the following parameters that can be used in our computation:
(x - 1)/(7x² - 3x - 9)
From the above, we have
degree of the numerator = 1
degree of the denominator = 2
The degree of the numerator is less than the degree of the denominator
This implies that the quotient of the expression cannot be determined