The required value for the lamina of uniform density [tex]\bar x\\[/tex] and [tex]\bar y[/tex] are written below,
[tex]\bar x = \dfrac{5}{8}\\[/tex]
[tex]\bar y = \dfrac{5}{14}[/tex]
Given that:
The density of lamina: ρThe graph for the lamina: [tex]y = x^{\frac{2}{3}}[/tex], y = 0, and x = 1Calculus's core idea of integration entails determining a function's integral. It is a reverse process of differentiation that enables us to compute cumulative numbers, find the area under a curve, solve differential equations, and more.
The function can be written as,
[tex]m = \rho\int_0^1x^{\frac{2}{3}}dx\\= \rho\left[\dfrac{x^{\frac{5}{3}}}{\frac{5}{3}}}\right]\\=\dfrac{3}{5}\rho[/tex]
The value of Mx can be calculated as,
[tex]M_x = \rho\int_0^1\dfrac{x^{\frac{2}{3}}}{2}}\times x^{\frac{2}{3}}dx\\=\dfrac{\rho}{2}\left[\dfrac{x^{(\frac{2}{7})}}{\frac{7}{3}}\right]_0^1\\=\dfrac{3}{14}\rho[/tex]
Calculate the value of My,
[tex]M_y =\rho \int_0^1 x\times x^{\frac{2}{3}}dx\\=\rho \left[\frac{x^\frac{8}{3}}{\dfrac{8}{3}}\right]\\=\dfrac{3}{8}{\rho[/tex]
The value of [tex]\bar x\\[/tex] will be calculated as,
[tex]\bar x = \dfrac{M_x }{m}\\=\dfrac{ \dfrac{3}{8}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{8}[/tex]
The value of [tex]\bar y\\[/tex] is calculated as,
[tex]\bar y= \dfrac{M_y }{m}\\=\dfrac{ \dfrac{3}{14}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{14}[/tex]
Therefore, the required values are [tex]\bar x = \dfrac{5}{8}\\[/tex] and [tex]\bar y = \dfrac{5}{14}[/tex].
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4 tens + 14 ones = 5 tens + ___ ones
Answer:
that equation isnt set up right
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
40+14=54 and 50 = 4 + 54
Hope this helps :)HELP PLEASEEEEEEEEEE
√-72 = √(i^2) 9*8 = 3i√8 = 3i√2^3 = 3i*2√2 =6i√2
Answer is D. 6i√2
Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.
Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.
Answer:
Decision rule
Fail to reject the null hypothesis
Conclusion
The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Step-by-step explanation:
From the question we are told that
The sample size is n = 214
The sample proportion is p = 0.78
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement ''three out of four'' in the question)
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis [tex]H_a : p > 0.75[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]
=> [tex]z = 1.01[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z )[/tex]
=> [tex]p-value = P(Z > 1.01 )[/tex]
From the z-table
[tex]P(Z > 1.01 ) = 0.15625[/tex]
So
[tex]p-value = 0.15625 [/tex]
From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
Therefore we can conclude that the sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Hello please help will give brainliest!
Answer:
the answer is A hope it helps: )
Answer:
A
Step-by-step explanation:
I had this question on a practice test, it's correct.
Can y’all help me in this please
Answer:
this may be wrong but i think its p
Step-by-step explanation:
2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(d) Write the equation of the line in point-slope form. Show your work.
(e) Write the equation of the line in slope-intercept form. Show your work.
Answer:
on the 1st one you have to put points on the line where the square match the best like put points on the line where the squares are rect with the line and then choose 2 of them and make a triangle like; if there is the line you have to jump the squares while until arriving the other point. I hope his help you!:)4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP
Answer:
53.32114
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer: 96%
1 square represent 1%
Answer:
96 present
Step-by-step explanation:
Unscramble the themed packs below. Which one is fake?
Simplify the complex fraction. 8/5 divide by 6 3/4 *
Step-by-step explanation:
[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]
First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:
[tex]\frac{27}{4}[/tex]
Next rewrite the equation using the improper fraction:
[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.
[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]
Finally, multiply together and simplify/reduce if needed:
The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed
Please help this answer!!!!!!!!!!!!
An electrician has a 16-foot spool of wire and he needs to cut an 11-foot, 4 inch piece from the spool to make a repair. How many inches of wire will he have left on the spool after he makes the repair ?
Answer:
I might be stupid but 5 feet and 8 inches...im not positive tho. good luck
Answer && Step-by-step explanation:
just do 16-11, we also know there are 12 inches in a foot so do 12-4
5 feet, 8 inches is the answer
Write down the gradient of the line y =-4r+7.
A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio
Answer:
7⅓ cups of water
Step-by-step explanation:
Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)
To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:
¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water
¾ : 5½ = 1 : x
[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]
[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]
[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]
[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]
[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]
[tex] \frac{3}{22} = \frac{1}{x} [/tex]
Cross multiply
[tex] 3x = 22 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{22}{3} [/tex]
[tex] x = 7\frac{1}{3} [/tex]
Number of cups of water to add to 1 cup if salt is 7⅓ cups.
For each of the following cases [(a), (b), and (c)], (I) state whether the study should be observational or experimental. (II) state whether the study should be run blind, doubleblind, or neither. If the study should be run blind or double-blind, who should be blinded?(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).(c) An investigation of whether the size of the midsagittal plane of the anterior commisssure (a part of the brain) of a man is related to the sexual orientation of the man.
Answer:
(a) An investigation of whether taking aspirin reduces one’s chance of having a heart attack.
Experimental
Neither blind nor double-blind (unless a placebo is being administered to some participants).
(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).
Observational
There is no blinding issue here.
(c) An investigation of whether the size of the midsagittal plane of the anterior commissure (a part of the brain) of a man is related to the sexual orientation of the man.
Observational
There is no blinding issue here.
Step-by-step explanation:
An observational study happens where some variables are observed to determine their correlations. On the other hand, in experimental studies, the researcher controls certain variables to determine causality. Therefore, an experimental study provides evidence of cause and effect, like in (a) above.
Factorise fully
-y - 6
this is my last question for today, right answer will be marked brainiest
Answer:
[tex]-(y+6)[/tex]
Step-by-step explanation:
[tex]-y-6\\\\=-(y+6)[/tex]
Answer:
-(y+6)Step-by-step explanation:
[tex] - y - 6[/tex]
Common factor : -1
[tex] - 1(y + 6) = \\ - (y + 6)[/tex]
A box of shredded wheat wheat weighs 0.35 .kg and a box of weetabix weighs 9/25 kg. Which box is heavier? Show your work.
Answer:
weetablx is heavier
Step-by-step explanation:
lets simplify
wheat wheat - 0.35 kg
weetablx - 9/25
simplify into decimals
wheat wheat- 0.35 kg
weetablx- 0.36 kg
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Describe a transformation that could be used to show that alternate interior angles are congruent.
Answer:
Step-by-step explanation:
From the picture attached,
Let 'l' be the original line having one angle ∠BAC.
If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.
Since, measure of angles are preserved in the translation,
m∠BDE = m∠BAC [corresponding angles]
Since, ∠BDE ≅ ∠MDA [Vertical angles]
Therefore, m∠MDA = m∠BAC
Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.
In the diagram, bisects ABC. Find mABD and mDBC
Answer:
mABD=24
mDBC=24
Step-by-step explanation:
First, set up x+15 and 4x-12 as equivalent equations
Subtract x from both sides to get 3x-12=15
Add 12 to get 3x=27
x=9
Plug 9 into the original equations representing the measurements of angles
You should get 24 for both because bisected means both are congruent
Find the selling price of each item original plate price of gold fish at $7.65 discount 10%
Answer:
6.88 is what I think you're looking for
Step-by-step explanation:
Evaluate: 8[1/4]
0
1
2
3
Answer:
0
Step-by-step explanation:
on edge step functions assignment
The value of 8[1/4] is 0, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The number= 8[1/4]
Now,
To evaluate 8[1/4], we need to use the definition of the square bracket notation. The square bracket notation means to round down to the nearest integer. For example, [3.7] = 3 and [-2.1] = -3.
So, 8[1/4] means to multiply 8 by the integer that is closest to 1/4 but less than or equal to it. The integer that is closest to 1/4 but less than or equal to it is 0. So, 8[1/4] = 8 * 0 = 0.
Therefore, by algebra the answer will be 0.
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NEED A MATH TUTOR ASAP !!!
tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?
Answer:
$22
Step-by-step explanation:
20 * 1.10 = 22
Chris drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 424 miles?
Answer:16
Step-by-step explanation:
265 / 10= 26.5 miles per gal.
424 miles / 26.5 mpg = 16 gallons
8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights
=$75.66 all in all and $67.99 dollars
a block is 12 g and volume is 6 what is the density
Answer: c.)2 g/ml is the correct answer.
The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which are the midpoints of segments
AB
and
CD
, respectively. Fill in the blanks of the Statement/Reason solution.
Statement Reason
1. AM = BM = AB 2 =_____ cm 1. ____________________
2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint
3. MN = MB + ______ + CN 3. ____________________
4. MN = ________ cm 4. Algebra
Answer:
Step-by-step explanation:
If M is the midpoint of AB, then AM = MB
Also AM+MB = AB
MB+MB = AB
2MB = AB
2MB = 6
MB = 6/2
MB = 3 cm
Also
If M is the midpoint of CD, then CN = DN and CN+DN = CD
CN+CN= CD
2CN = CD
2CN = 6
CN = 6/2
CN = 3 cm
Note that MN = MB + BC + CN
Substitute the given data
MN = 3cm + 6cm+3cm
MN = 12cm
Therefore the distance between M and N is 12cm
The distance between of the AM = BM = AB/2 is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.
Then we know
[tex]\rm AM = MB \\\\NC = ND[/tex]
Then we have
[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]
Similarly, we have
[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]
NC = ND = 3 cm
AM = MB = 3 cm
1. AM = BM = AB/2 = 3 cm.
2. NC = ND = DC = 3 cm.
3. MN = MB + DC + NC.
4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.
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Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Given sequence is geometric sequence and common ratio between consecutive term is [tex]\frac{1}{2}[/tex] .
In Arithmetic sequence , common difference between consecutive terms should be equal.
In Geometric sequence, common ratio between consecutive terms should be equal.
Given sequence, 12, 6, 3, ...
Since, common difference = [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.
Common ratio = [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex] Because common ratio is are equal. Thus, given sequence is geometric sequence.
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Convert 1,152 inches into yards using fractions
Answer:
8/9 yards
Step-by-step explanation:
Which expression is equivalent to |-5| + |-3|
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
−20=−4x−6x Find the value of x
Answer:
[tex]\huge\boxed{x=2}[/tex]
Step-by-step explanation:
[tex]-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2[/tex]
Over the past week, 40% of the phone calls to Alicia's cell phone were from her son. Let's say you know that her son called her 12 times. Find out how many total calls she received from her son.
Answer:
40%
Step-by-step explanation: hope this helps
Answer:
She received 12 calls from her son and 30 calls in total.
Step-by-step explanation:
40% of 30 is 12.