Answer:
100+30+7*8
Step-by-step explanation:
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
Expand 137 as the sum of its place values and multiply it by 8, 1,096 as the result.
800 + 240 + 56 = 1,096.
To multiply 137 by 8 using expanded form, we break down the numbers into their place values and perform the multiplication for each digit separately. Here's the step-by-step process:
Write down 137 as the sum of its place values: 100 + 30 + 7.
Multiply each place value by 8:
Multiply 100 by 8: 100 x 8 = 800.
Multiply 30 by 8: 30 x 8 = 240.
Multiply 7 by 8: 7 x 8 = 56.
Add the results together:
800 + 240 + 56 = 1,096.
Therefore, when we expand 137 as the sum of its place values and multiply it by 8, we get 1,096 as the result.
In this process, we ensure that each digit in the number is multiplied by 8 according to its respective place value, and then we add up the individual products to obtain the final answer.
To learn more about the place value;
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Find the surface area of the pyramid.
The surface area is_square meters.
Answer:
173.26
Step-by-step explanation:
In the data set below, what are the lower quartile, the median, and the upper quartile. 13, 16, 16, 17, 51, 57, 62, 72, 92, 97
Answer:
I'm rusty on this but I believe:
the median is 54
the lower quartile = 16
the upper quartile is 72
- Yesterday Billy earned $30 trimming
hedges for Mrs. Gant. Today he will earn
$10 an hour for weeding her garden. If
he weeds her garden for 8 hours, how
much in all will he earn working for
Mrs. Gant?
A population has standard deviation o=17.5.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1? Round the answer up to the nearest integer. (Round the critical value to no less than three decimal places.) A sample size of is needed to be drawn in order to obtain a 99.9% confidence interval with a margin of error equal to 4.1.
Part 2 of 2
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller? (Choose one) V , because the confidence level is (Choose one) V .
Answer:
a) A sample of 198 must be drawn.
b) Smaller, because the confidence level is smaller.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?
This is n for which M = 4.1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]
[tex]4.1\sqrt{n} = 3.291*17.5[/tex]
[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]
[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]
[tex]n = 197.3[/tex]
Rounding up:
A sample of 198 must be drawn.
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Solving for n
[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]
That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.
95% < 99.9%, so a smaller confidence interval.
Smaller, because the confidence level is smaller.
This is a scale drawing of a field. The scale is 1 in.: 10 ft. What is the actual length of the
longer side of the field?
7 in.
5 in.
50 ft
10 ft
70 ft
Answer:7ft
Step-by-step explanation:
i got it right
A standard number cube, labeled numbers 1-6 on each side, is rolled three times. Mary says the chance of rolling a 2 all three times is 1/8. But John disagrees and says the probability for rolling a 2 all three times is 1/216. Who calculated the correct probability or rolling a 2 the three times the n number cube is rolled? Show work to justify your reasoning.
Answer: john answer it correctly
Step-by-step explanation:
6.6.6_=216
Use technology or a z-score table to answer the question.
The weights of members of a baseball league are normally distributed with a mean of 176 pounds and a standard deviation of 11.4 pounds. Consider a league membership of 120 members.
How many of the members will weigh 165 pounds or more?
A.)67
B.)76
C.)80
D.)100
Answer:
D. 100
Step-by-step explanation:
1. Find the z-score: 165-176/11.4 = -1.2
2. Find the percentage of the z-score. Here it's 16.85%
3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.
4. Multiply the percentage by the number of members: 83.15%*120 = 99.78
5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.
Also, I took the test :)
Calculate the circumference.
Answer:
the circumference=πd=26π=81.6mi
Answer:
81.6 mi is a required answer
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
Please solve for all three parts of the question.
Answer:
f(-5) = 25
f(0) = -2
f(5) = 16
Step-by-step explanation:
Given the functions;
To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero
at where x < 0, f(x) = x^2
f(-5) = (-5)^2
f(-5) = 25
b) For f(0), where the point where x = 0, f(x)= -2
Hence the value of f(o) = -2
c) For f(5), the function where x > 5 is f(x) = 2x+6
f(x) = 2x+6
f(5) = 2(5)+6
f(5) = 16
5/16 divided by 3 1/5
Answer:
25/256
Step-by-step explanation:
(5/16) / (3 1/5)
(5/16) / (16/5)
(5/16) * (5/16)
5*5 / 16*16
25/256
special triangles 45-45-90
9514 1404 393
Answer:
x = y = (√10)/2
Step-by-step explanation:
In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.
x = y = (√5)(√2)/2
x = y = (√10)/2
Answer:
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Solve for x: 3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answer:
x= -a2(the 2 means squared)/1-3a+a2
Step-by-step explanation:
I rll hope this helps
Answer:
x= a^2
----------------
1 - 3a + a^2
Step-by-step explanation:
1. Use the given Taylor polynomial p 2 to approximate the given quantity.
2. Compute the absolute error in the approximation assuming the exact value is given by a calculator.
Approximate e-0.07 using f(x) = e-x and p2(x) = 1 - x + x2/2
Answer:
Part 1:
P₂(0.07)=0.93245≈[tex]e^{-0.07}[/tex]
Part 2:
Error=[tex]0.5618*10^{-4}[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=e^{x}\\f(-0.07)=e^{-0.07}[/tex]
P₂(x)=[tex]1-x+\frac{x^2}{2}[/tex]
Solution:
Part 1:
P₂(x)=[tex]1-x+\frac{x^2}{2}[/tex]
We have x=0.07
Put Value of x in above Equation:
P₂(0.07)=[tex]1-0.07+\frac{0.07^2}{2}[/tex]
P₂(0.07)=0.93245≈[tex]e^{-0.07}[/tex]
Part 2:
[tex]e^{-0.07}[/tex]=0.93239382 (Calculated using Calculator)
Error=|[tex]e^{-0.07}[/tex]-P₂(0.07)|=|0.93239382-0.93245|=0.00005618
Error=|0.93239382-0.93245|
Error=0.00005618
Error=[tex]0.5618*10^{-4}[/tex]
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
Please Help!!
No links or I’ll report you!
A. 11
B. 13
C. 8
D. 7
Answer:
The answer is 13.
Step-by-step explanation:
Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9. So you input all values into the expression until you get the product of 9.
Work: 2(13)-17=9, so 13 is your answer.
PLEASE HELP 9) (6 pts.) The perimeter of a rectangle is 100 feet. The length is 10 more than 3 times the width. Define variables and write a system of equations that could be used to find the length and width of the rectangle. For this problem you are NOT being asked to solve the system, just to set it up.
Step-by-step explanation:
sorry i am unable to understand what it is asking but if you inform me more i would love to help
4. Draw a set of shapes where 3/4 of the shapes are squares.
Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.
Images has been attached showing 3/4 of the shapes are squares.
Given that,
To draw a set of shapes where 3/4 of the shapes are squares.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4
Thus, Images has been attached showing 3/4 of the shapes are squares.
Learn more about congruent geometry here. https://brainly.com/question/12413243
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13 Hannah deposits $3,000 into each of two
savings accounts.
• Account I earns 4% annual simple
interest.
• Account II earns 4% interest
compounded annually.
Hannah does not make any additional
deposits or withdrawals. What is the sum
of the balances of Account I and Account
II at the end of 2 years?
9514 1404 393
Answer:
$6484.80
Step-by-step explanation:
Account I:
The balance in the account after 2 years will be ...
A = P(1 +rt)
A = $3000(1 +0.04(2)) = $3240
__
Account II:
The balance in the account after 2 years will be ...
A = P(1 +r)^t
A = $3000(1 +0.04)^2 = $3244.80
__
The sum of the two balances after 2 years is ...
$3240 +3244.80 = $6484.80
A prisoner is trapped in a cell containing three doors. The first door leads to a tunnel that returns him to his cell after two days of travel. The second leads to a tunnel that returns him to his cell after three days of travel. The third door leads immediately to freedom. (a) Assuming that the prisoner will always select doors 1, 2 and 3 with probabilities 0.5, 0.3, 0.2 (respectively), what is the expected number of days until he reaches freedom
Answer:
10.5 days
Step-by-step explanation:
Given :
P(d1) = 0.5 ; P(d2) = 0.3 ; P(d3) = 0.2
For d1: 2days of freedom ; then back to cell
For d2 : 3 days of freedom ; then back to cell
For d3 :, complete freedom.
Let number of days till freedom is attained = x
x = E(x | d1)p(d1) + E(x | d2)p(d2) + E(x | d3)p(d3)
x = (2 + x)(0.5) + (3 + x)(0.3) + (1 * 0.2)
x = 1 + 0.5x + 0.9 + 0.3x + 0.2
x = 2.1 + 0.8x
x - 0.8x = 2.1
0.2x = 2.1
x = 2.1 / 0.2
x = 10.5 days
Hence, expected number of days to attain freedom = 10.5 days
What is the first error Zoe made in her proof?
a. Zoe used an invalid reason to justify the congruence of a pair of sides or angles
b. Zoe only established some of the necessary conditions for a congruence criterion.
c. Zoe established all necessary conditions, but then used an inappropriate congruence criterion.
d. Zoe used a criterion that does not guarantee congruence
iui
Answer:
a
Step-by-step explanation:
To prove congruence
1 ∠ A ≅ ∠ C → given
2 ∠ DEA ≅ ∠ BEC → vertically opposite angles
3. AE ≅ EC → given
We then have 2 angles and the included side ( side between the 2 angles )
congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )
Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given
Zoe used an invalid reason to justify the congruence of a pair of sides or angles.
Option a is correct.
From given diagram it is observed that,
Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.
[tex]\angle A=\angle C[/tex]
When two lines intersect at any point then vertically opposite angles are equal.
So that, [tex]\angle DEA=\angle BEC[/tex]
Given that , [tex]AE=EC[/tex]
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Hence, both triangles are congruent to each other.
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If the surface area of a cube is 150 cm2, what is the volume of the cube
Answer:
V = 125 in^3
Step-by-step explanation:
A cube has 6 sides, and the area of each is equal to the side length squared:
A = 6x^2
A is given as 150 cm^2, and so is equal to 6x^2. Thus, x = the side length = 5 cm.
The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3
You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.
a. How much do you need in your account at the beginning? Do not include units!
b. How much total money will you pull out of the account? Do not include units!
C. How much of that money is interest? Do not include units!
Answer:
a. $311,555.26
b. $500,000
c. $188,444.74
Step-by-step explanation:
The computation is shown below:
a. Here we have to determine the present value
Given that
PMT = $25,000
NPER = 20
RATE = 5%
FV = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
after applying the above formula, the amount that need in the beginning is $311,555.26
b. The total money should be
= $25,000 × 20 years
= $500,000
c. The amount of interest is
= $500,000 - $311,555.26
= $188,444.74
help pls pic is below pls help
Answer:
i don't know girl sorry
Step-by-step explanation:
i don't know girl sorry
Sabrina read a total of 185 pages in three days.
On the first day, she read 85 pages
· On the second and third days, she read the same
How many pages did she read on the third day?
Answer:
Sabrina read 50 pages on the third day.
Step-by-step explanation:
Since Sabrina read a total of 185 pages in three days, and on the first day, she read 85 pages, while on the second and third days, she read the same amount, to determine how many pages did she read on the third day the following calculation must be performed:
(185 - 85) / 2 = X
100/2 = X
50 = X
Therefore, Sabrina read 50 pages on the third day.
The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
Answer:
94.2 ft of fencing
Step-by-step explanation:
To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.
Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.
. The admission fee for a basketball game is $5 for students and $7 for adults. At one of the girl’s home games, 150 people attended the game and $866 was collected. How many students and how many adults attended the game?
Answer:
Adults =58, Students=92
Step-by-step explanation:
ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!
Решите пожалуйста только 3.15 буду благодарен. Остальные не нужны
(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)
Use the shell method. Each shell has a height of 3 - 3/4 y ², radius y, and thickness ∆y, thus contributing an area of 2π y (3 - 3/4 y ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ y ≤ 2, thus given by the integral
[tex]\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi[/tex]
Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 x), thus contributing an area of π (√(4/3 x))² = 4π/3 x. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ x ≤ 3, or by the integral
[tex]\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi[/tex]
Using either method, the volume is 6π ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...
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Answer:
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in triangle ABC, AC=12 in., BC= 1.5in., and m
Answer:
13.5
Step-by-step explanation:
I am not 100% sure but I really hope this helps you.