Answer:
a=26 / 56 ; b = 46.4 percent
Step-by-step explanation:
The answer is a=26/56; b=46.4%
Hope this helps:)
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion? Assume that past data are not available for developing a planning value for p*
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of [tex]\pi[/tex], so we use the worst case scenario, which is [tex]\pi = 0.5[/tex]
Then
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.03}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}[/tex]
[tex]n = 1067.11[/tex]
Rounding up
A sample of 1068 is needed.
A church group is interested in estimating the true proportion of Americans who attend weekly religious services. How large a sample size is required to estimate the true proportion to within 3% with 95% confidence
Answer:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
We can use an estimatior for the population proportion as [tex]\hat p=0.5[/tex] since we don't know previous info. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]
And rounded up we have that n=1068
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since the confidence level is 99%, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.005[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
We can use an estimatior for the population proportion as [tex]\hat p=0.5[/tex] since we don't know previous info. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]
And rounded up we have that n=1068
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Two circles are shown. The smaller circle has radius O A and the larger circle has radius O B. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA? (StartFraction pi Over 3 EndFraction)x units (StartFraction 2 pi Over 3 EndFraction)x units 2πx units 6πx units
Answer:
its 2pi/3
Step-by-step explanation:
because the full radian measure of a circle is 2pi radians, the smaller circle is a third of the size of the larger one. Multiply straight across for (2pi/1)(1/3)
The circumference of the smaller circle can be given by [tex]\dfrac{2\times \pi}{m}(x)\ units[/tex].
Given to us,Two similar circles are shown.The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. The smaller circle has radius O A and the larger circle has radius O B. Radius OB measures x units. Circumference of the larger circle[tex]\rm{Circumference\ of\ the\ circle = 2\times \pi \times (radius)[/tex]
[tex]\rm{Circumference\ of\ the\ circle = 2\times \pi \times (OB)[/tex]
[tex]\rm{Circumference\ of\ the\ circle = 2\times \pi \times (x)[/tex]
Circumference of the smaller circle,Circumference of the Larger circle = 3 x Circumference of the smaller circle
[tex]2\times \pi \times x = 3\times Circumference\ of\ the\ smaller\ circle\\\\3\times Circumference\ of\ the\ smaller\ circle = 2\times \pi \times x \\\\Circumference\ of\ the\ smaller\ circle = \dfrac{2\times \pi \times x }{3}\\\\Circumference\ of\ the\ smaller\ circle = \dfrac{2\times \pi}{3}( x )\ units[/tex]
Hence, the circumference of the smaller circle can be given by [tex]\dfrac{2\times \pi}{m}(x)\ units[/tex].
Learn more about similar circles:
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solve the inequality 1/3h≤7
Answer:
h ≤ 21
Step-by-step explanation:
Simply just divide both sides by 1/3 to isolate x and you should get your answer!
Answer:
h ≤ 21
Step-by-step explanation:
1/3h ≤ 7
Multiply 1/3 on both sides of the inequality.
1/3(1/3h) ≤ 1/3(7)
h ≤ 1/3(7)
Reciprocal 1/3.
h ≤ 7(3/1)
h ≤ 21
It is often said that more than one-fifth of all small businesses fail during the first year. Researchers from the University of Western Australia used data on 5,196 randomly-selected small business start-ups throughout Australia to test the hypothesis that the proportion of all small businesses that fail is in fact higher than 20%.What type of test is this?a. Left- Tailedb. Right- Tailedc. Two-Tailed
Answer:
b. Right-Tailed
Step-by-step explanation:
This hypothesis test have a claim that the proportion of all small businesses that fail is higher than 20%. The alternative hypothesis is then written as:
[tex]H_a:\pi>0.2[/tex]
If the sample outcome gives a test statistic that is higher than the critical value (z>z_c), it will fall in the rejection region and the null hypothesis, that states that the proportion is not different from 20%, will be rejected.
As the rejection region comprises all the values in the right tail, above the critical value, we can conclude this is a right-tailed test.
Three years ago Tom was twice as old as Jean. And in two years the sum of their ages will be 28 years. Find their present ages.
Answer:
Jean is 9 years old and Tom is 15 years old.
Step-by-step explanation:
let t = Tom's present age
let j = Jean's age
Three years ago, Tom was twice as old as Jean,
t-3 = 2(j-3)
t - 3 = 2j - 6
t = 2j - 6 + 3
t = 2j - 3
In two years the sum of their ages will be 28 years.
(t+2) + (j+2) = 28
t + j + 4 = 28
t + j = 28 - 4
t + j = 24
For their present ages, replace t with (2j-3) from the 1st statement
2j - 3 + j = 24
2j + j = 24 + 3
3j = 27
j = 27/3
j = 9 yrs is Jean's age
Find Tom's age
t = 2(9) - 3
t = 15 yrs is Tom's age
An equation is formed of two equal expressions. The age of Tom is 15 years and the age of Jean is 9 years.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the present age of Tom and Jean be represented by x and y, respectively. Therefore, the given statement three years ago Tom was twice as old as Jean in the form of an equation can be written as,
(x-3) = 2(y-3)
Solving the equation for x,
x - 3 = 2y - 6
x = 2y - 3
Also, it is given that in two years the sum of their ages will be 28 years.
(x+2) + (y+2) = 28
(2y - 3 + 2) + (y + 2) = 28
2y -3 + 2 + y + 2 = 28
3y + 1 = 28
3y = 27
y = 9
Substitute the value of y in the equation of x formed above,
x = 2y - 3
x = 2(9) - 3
x = 15
Hence, the age of Tom is 15 years and the age of Jean is 9 years.
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Please answer this correctly
Answer:
17
Step-by-step explanation:
The numbers in between 110 and 160 on the stem-leaf plot are 110, 111, 113, 118, 124, 132 (repeated 3 times), 134, 135, 138, 141, 149, 152 (repeated twice), 154, and 158. Counting all these up the answer is 17 shipments.
Answer:
17 shipments
Step-by-step explanation:
At least 110 and less than 160 makes it 110-159
So,
110-159 => 17 shipments
Any number that is divisible by 3 also divisible by 6. Find a counterexample to show that the conjecture is false.
Answer:
Any number that is divisible by 3 is also divisible by 6. Find a counterexample to show that the conjecture is false. 24 18 12 21.
Step-by-step explanation:
brainlies plssssssss!
In which figure is point G an orthocenter? Triangle A B C is a right triangle. Lines are drawn from each point to the opposite side and intersect at point G. Triangle F D E is shown. Lines are drawn from each point to the opposite side and intersect at point G. The lines cut each side into 2 equal parts. Triangle L M N is shown. Lines are drawn from each point to the opposite side and intersect at point G. Each angle has a different measure. Triangle H J K is shown. Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G
Answer:
ΔHJK; Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G
Step-by-step explanation:
The orthocenter is the point of intersection of altitudes. Each altitude is orthogonal to the corresponding base, so the use of "ortho-" can help you remember.
The appropriate choice is ...
ΔHJK shown: Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G.
Answer:
in short terms its D. i got it right
Step-by-step explanation:
A variable contains five categories. It is expected that data are uniformly distributed across these five categories. To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24. Using α = 0.01, the observed value of chi-square is:_______
Answer:
33.293 ± 0.01= 33.303 and 33.383,
Step-by-step explanation:
We first need to fit a normal distribution , but neither the mean nor the standard deviation is given . We therefore estimate the sample mean and sample standard deviation s. Using the data we find ∑fx=378 and
∑fx²=1344 so that mean x` = 2.885 or 2.9 and standard deviation s =1.360
x f fx x² fx²
1 27 27 1 27
2 30 60 4 120
3 29 87 9 261
4 21 84 16 336
5 24 120 25 600
∑f=131 ∑fx=378 ∑fx²=1344
Mean = x`= ∑fx/ ∑f= 2.9
Standard Deviation = s= √∑fx²/∑f-(∑fx/∑f)²
s= √1344/131 - (378/131)²
s= √10.26-(2.9)²
s= √10.26- 8.41
s= √1.85= 1.360
Next we need to compute the expected frequencies for all classes and the value of chi square. The necessary calculations for expected frequencies , ei`s ( ei= npi`) where pi` is the estimate of pi together with the value of chi square are shown below.
Categories zi` P(Z<z) pi` Expected Observed
frequency ei Frequency Oi
1 -1.39 0.0823 0.0823 10.78 27
2 -0.66 0.2546 0.1723 22.57 30
3 0.07 0.5279 0.2733 35.80 29
4 0.808 0.7881 0.2602 34.08 21
5 1.54 0.937 0.1489 19.51 24
Next we need to compute the expected frequencies for all classes and the value of chi square. The necessary calculations for expected frequencies , ei`s ( ei= npi`) where pi` is the estimate of pi together with the value of chi square are shown below.
Categories Expected Observed (oi-ei)²/ei
frequency ei Frequency Oi OBSERVED VALUE
1 10.78 27 24.41
2 22.57 30 1.54
3 35.80 29 1.29
4 34.08 21 5.02
5 19.51 24 1.033
Total 131 33.293
There are five categories , we have used the sample mean and sample standard deviation , so the number of degrees of freedom is 5-1-2= 2
The critical region is chi square ≥ chi square (0.001)(2) =9.21
CONCLUSION:
Since the calculated value of chi square =9.21 does not fall in the critical region we are unable to reject our null hypothesis and conclude normal distribution provides a good fit for the given frequency distribution.
Using the Chisquare test statistic relation, the observed value of the Chisquare statistic is 2.09
The observed value of Chisquare can be calculated thus:
χ² = [tex] \frac{(observed - Expected)^{2}}{Expected} [/tex]Since the samples are uniformly distributed ;
Expected value = (27+30+29+21+24)/5 = 131/5 = 26.2Substituting the Parameters into the equation :
χ² =[tex] \frac{(27 - 26.2)^{2}}{26.2} + \frac{(30 - 26.2)^{2}}{26.2} + \frac{(29 - 26.2)^{2}}{26.2} + \frac{(21 - 26.2)^{2}}{26.2} + \frac{(24 - 26.2)^{2}}{26.2} [/tex]
χ² =[tex] 0.0244 + 0.5511 + 0.2992 + 1.0321 + 0.1847 [/tex]
χ² =[tex] 2.0915 [/tex]
Hence, the Chisquare value is χ² [tex] = 2.09 [/tex]
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What's the measure of <1 if
Answer:
Brainliest!
Step-by-step explanation:
thats not possible but x<1
x< 1
means tha,t a number (x) is less than one, means its not one but less than it
so that includes 0,-1,-2,-3,-3.01,-3.0001,-4, etc
5. A worker can do a piece of
piece of wook
in 14 days.
How much coook does he do ini day!
. How much work does he do in 7 days?
lijIt he works for 2 days and leaves,
how much work is left to finish it?
Answer:
therefore the left work of worker will be 6/7 part of work
The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. What is the probability that no more than 2 customers will arrive in a minute
Answer:
The probability that no more than '2' customers will arrive in minute = 1.5412
Step-by-step explanation:
Explanation:-
Mean of the Poisson distribution 'λ' = 2 per minute
P(X=x) = e⁻ˣ λˣ/x!
The probability that no more than '2' customers will arrive in minute
P(x≤ 2) = P(x=0) +P(x=1)+P(x=2)
= e⁻² (2)°/0! + e⁻²(2)¹/1!+e⁻² (2)²/2!
= 1 + 0.2706 + 0.2706
= 1.5412
The probability that no more than '2' customers will arrive in minute = 1.5412
Please answer this correctly
Answer:
Mean
Step-by-step explanation:
a circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
Answer:
125.72
Step-by-step explanation:
radius equals pi(r)2
rectangle equals b times h
radius is 6.28
rectangle is 132
you now subtract them
132 minus 6.28 which is 125.72
hope this helps
Answer:
No the other answer is wrong, I just did it, this is the right answer for sure, I will give it right after you subscibe to Iconic Cooking, here is the answer...
Step-by-step explanation:
128.86
Given the function f(x) =3x+4 and g(x) =2x+1/x_4 :find the (fog)?
Answer:
f(x) = 3x + 4
g(x) = 2x + 1 / x - 4
( f o g) = 3(2x + 1 / x - 4) + 4
= 6 x + 3 / x - 4 + 4
Find the LCM
After solving you will get
(f o g) = 10x - 13 /x - 4
Hopethis helps.
Need help ASAP!! thank you sorry if u can’t see it good :(
Answer/Step-by-step explanation:
==>Given:
=>Rectangular Pyramid:
L = 5mm
W = 3mm
H = 4mm
=>Rectangular prism:
L = 5mm
W = 3mm
H = 4mm
==>Required:
a. Volume of pyramid:
Formula for calculating volume of a rectangular pyramid us given as L*W*H
V = 5*3*4
V = 60 mm³
b. Volume of prism = ⅓*L*W*H
thus,
Volume of rectangular prism given = ⅓*5*3*4
= ⅓*60
= 20mm³
c. Volume of the prism = ⅓ x volume of the pyramid
Thus, 20 = ⅓ × 60
As we can observe from our calculation of the solid shapes given, the equation written above is true for all rectangular prism and rectangular pyramid of the same length, width and height.
The time to assemble a certain type of a computer board from acertain assembly line, has a normal distribution. The assembly times for a random sample of 20 boards are measured. The sample mean and sample standard deviation of observed times are: X-35 minutes and s-5 minutes.
a. The manager of the assembly line claims the true average time, μ, for assembling a board is less than 38 minutes. Test the manager's claim at 1% level of significance and write your conclusion.
b. Test at 5% level of significance if the true variance of the assembly time, σ, is more than 22 and write your conclusion.
Answer:
Step-by-step explanation:
(a)
From the given information; we can compute the null and the alternative hypothesis as follows:
[tex]H_o : \mu = 38[/tex]
[tex]H_1 : \mu < 38[/tex]
Level of significance ∝ = 1% = 0.01
The critical values of t distribution since the sample size n = 20 is:
n - 1
= 20 - 1
= 19 degree of freedom
Assuming the population is normally distributed:
The t test can be computed by using the EXCEL FUNCTION
= TINV(0.01, 19 )
= 2.539483
[tex]t_{0.01,19} = 2.539483[/tex]
However;
we were also given the sample mean X to be = 35 minutes
the standard deviation SD = 5 minutes
Thus; the test statistics can be computed as;
[tex]t = \dfrac{\bar X - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{35- 38}{\dfrac{5}{\sqrt{20}}}[/tex]
[tex]t = \dfrac{-3}{\dfrac{5}{4.472}}[/tex]
[tex]t_o = -2.6833[/tex]
The P-value P ( t < [tex]t_o[/tex]) = P( t < - 2.633)
= 0.007355
P-value [tex]\approx[/tex] 0.0074
Decision Rule: If P - value is less than the level of significance; we are to reject the null hypothesis.
Conclusion: P-value < level of significance ; i.e 0.0074 < 0.01; so we reject the null hypothesis and accept the alternative hypothesis.
Thus; we conclude that the average time for assembling the computer board is less than 38 minutes at 0.01 level of significance.
b).
Given that:
Sample size n = 20
level of significance = 0.05
The population variance σ² is more than 22
Thus null hypothesis and the alternative hypothesis can be computed as follows:
[tex]H_0 : \sigma^2 = 22[/tex]
[tex]H_1 : \sigma^2 < 22[/tex]
From above;
degree of freedom df = 19
The critical value of [tex]X^2[/tex] at df = 19 and ∝ = 0.05 is = 30.14353 at the right tailed region.
[tex]X^2_{0.05,19} =[/tex] 30.14353
The test statistics [tex]X^2[/tex] for the sample variance is computed as:
[tex]X^2= \dfrac{(n-1 )s^2}{\sigma^2}[/tex]
[tex]X^2= \dfrac{(20-1 )25}{22}[/tex]
[tex]X^2= \dfrac{(19)25}{22}[/tex]
[tex]X^2= \dfrac{475}{22}[/tex]
[tex]X^2[/tex] = 21.5909
The P-value for the test statistics is :
= 1 - P( [tex]X^2[/tex] < 21.5909)
= 1 - 0.694914
= 0.305086
The P-value = 0.305086
Decision Rule: If P - value is less than the level of significance; we are to reject the null hypothesis.
Conclusion: SInce the P-value is greater than the level of significance ; i.e
0.305086 > 0.05 ; Therefore; we do not reject the null hypothesis.
Therefore the data does not have sufficient information to conclude that the population variance is more than 22 at 5% level of significance.
I hope that helps a lot.
NEED HELP (GEOMETRY)ASAP
Answer:
the answer is C)<
Step-by-step explanation:
add the numbers
What is the conjugate?
2x2 + √3
Answer: 2x²-√3
Step-by-step explanation:
Another way to say the conjugate is the opposite. All you have to do is to change the sign in the binomial, which is 2x²+√3. When you change the sign, it becomes 2x²-√3.
The period of a simple pendulum of length L feet is given by T=2πLg−−√~seconds. We assume that g, the acceleration due to gravity on the surface of the earth, is 32 feet per second per second. If the pendulum is that of a clock that keeps good time when L=4 feet, how much time will the clock gain in 24 hours if the length of the pendulum is decreased to 3.97 feet? (Use differentials and evaluate the necessary derivative at L=4 feet.)
Given that,
The acceleration due to gravity on the surface of the earth = 32 feet/s²
We need to calculate the time
Using formula of time period
[tex]T=2\pi\sqrt{\dfrac{l}{g}}[/tex]
On differentiating with respect to l
[tex]\dfrac{dT}{dL}=2\pi\times\dfrac{1}{2}(\dfrac{l}{g})^{-\frac{1}{2}}\times\dfrac{1}{g}[/tex]
[tex]\dfrac{dT}{dL}=\dfrac{\pi}{g}\times(\dfrac{g}{L})^{\frac{1}{2}}[/tex]
Put the value into the formula
[tex]\dfrac{dT}{dL}=\dfrac{\pi}{32}\times(\dfrac{32}{4})^{\frac{1}{2}}[/tex]
[tex]\dfrac{dT}{dL}=0.277\ sec[/tex]
If the length of the pendulum is decreased to 3.97 feet.
We need to calculate the time
Using formula of time period
[tex]\dfrac{dT'}{dL}=\dfrac{\pi}{g}\times(\dfrac{g}{L})^{\frac{1}{2}}[/tex]
Put the value into the formula
[tex]\dfrac{dT'}{dL}=\dfrac{\pi}{32}\times(\dfrac{32}{3.97})^{\frac{1}{2}}[/tex]
[tex]\dfrac{dT'}{dL}=0.278\ sec[/tex]
We need to calculate the gain time
Using formula for time
[tex]\dfrac{dT''}{dL}=\dfrac{dT'}{dL}-\dfrac{dT}{dL}[/tex]
Put the value into the formula
[tex]\dfrac{dT''}{dL}=0.278-0.277[/tex]
[tex]\dfrac{dT''}{dL}=0.001\ sec[/tex]
Hence, The clock gain the time in 24 hours is 0.001 sec.
Use the multiplication rule for independent event probabilities. Two friends are both pregnant, and find out they are each expecting twins! Let A be the event that one friend is pregnant with identical twins, and note that P(A) = 0.0045. Let B be the event that the other friend is pregnant with fraternal twins, and note that P(B)= 0.01. A and B are independent events. What is the probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins? Give your answer as a percent, rounded to four decimal places if necessary.
Answer:
We have to multiply P(A) and P(B) which is 0.0045 * 0.01 * 100 (to make it a percentage) = 0.0045%.
Please answer this correctly
Answer:
62.5%
Step-by-step explanation:
So it’s 5/8
and as a percent it’s 5 divided by 8 which is .625 and that’s 62.5%
Answer:
62.5%
Step-by-step explanation:
There are 5 cards out of 8 that are less than 7 so there is a 5/7 chance you pick one or 62.5% chance.
The sum of the ages of ahsan and his mother is 61 years.The difference in their ages is 29 years.By forming a pair of simultaneous linear equations,find (i)ahsan's present age (ii)the age of ahsan's mother when ahsan is 21 years old
Answer:
a. 16 years
b. 50 years
Step-by-step explanation:
Let us assume the age of Ahsan be X
And, the age of his mother be Y
It is mentioned in the question that the sum of the both ages to be 61 years and their difference is 29 years
So now the equation is as follows
X + Y = 61 .............................. (1)
-X + Y = 29 .............................. (2)
Now solve this
We get
2Y = 90
Y = 45 = Ahsan mother age age
Now put the value of Y in any of the above equation
So X would be
X = 61 - 45
= 16 i.e ahsan age
The mother age is
= 45 years + 5 years
= 50 years
The 5 years come from
= 21 years - 16 years
= 5 years
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following.
y 0 1 2 3
p(y) 0.50 0.25 0.20 0.05
A) Compute E(Y).
B) Suppose an individual with Y violations incurs a surcharge of $110Y2. Calculate the expected amount of the surcharg.
Answer:
A. The E(Y) is 0.80
B. The expected amount of the surcharges is $165
Step-by-step explanation:
A. In order to calculate the E(Y), we would have to calculate the following formula:
E(Y)=∑yp(y)
E(Y)=(0*0.5)+(1*0.25)+(2*0.20)+(3*0.05)
E(Y)=0+0.25+0.40+0.15
E(Y)=0.80
B. In order to calculate the expected amount of the surcharges we would have to calculate the following formula:
E($110Y∧2)=110E(Y∧2)
=110∑y∧2p(y)
=110((0∧2*0.5)+(1∧2*0.25)+(2∧2*0.20)+(3∧2*0.05))
110(0+0.25+0.80+0.45)
=$165
The perimeter of a rectangle is twice the
sum of its length and its width. The
perimeter is 40 meters and its length is 2
meters more than twice its width. What is it’s length?
Answer:
The length is 14 m.
Step-by-step explanation:
length = L
width = W
perimeter = P
"The perimeter of a rectangle is twice the sum of its length and its width."
P = 2(L + W)
"The perimeter is 40 meters"
40 = 2(L + W)
"and its length is 2 meters more than twice its width."
L = 2W + 2
Replace L with 2W + 2 in equation 40 = 2(L + W):
40 = 2(2W + 2 + W)
40 = 2(3W + 2)
20 = 3W + 2
3W = 18
W = 6
The width is 6 meters.
L = 2W + 2 = 2(6 m) + 2 m = 12 m + 2 m = 14 m
Answer: The length is 14 m.
A found raising meeting raised sh 8100 for buying desk for three schools, A,B and C, the money was shared to the schools in the ratio 3:2:4 respectively A, what fraction did each get?? B, how much money did each get?
Answer:
A: 1/3, 2700B: 2/9, 1800C: 4/9, 3600Step-by-step explanation:
The total number of ratio units is 3+2+4 = 9, so the fractions each school got were ...
A : B : C = 3/9 : 2/9 : 4/9
These fractions multiply the total amount raised:
A got 1/3 = 2700, B got 2/9 = 1800, C got 4/9 = 3600
Select whether the equation has a solution or not.
[tex] \sqrt{4x + 5} - \sqrt{x - 1} = \sqrt{x + 4} [/tex]
Answer:
5 is solution
Step-by-step explanation:
hello,
I am not sure what is expected for this kind of question.
we can notice that 5 is a solution as
[tex]\sqrt{4*5+5}-\sqrt{5-1}=\sqrt{25}-\sqrt{4}=5-2=3\\and\\\sqrt{5+4}=\sqrt{9}=3[/tex]
hope this helps
Explain how to determine if a number is a solution of the equation. n + 6 = 33 for n = 27
Answer:
n= 27 is the only solution to the equation
Step-by-step explanation:
n + 6 = 33
Subtract 6 from each side
n+6-6 = 33-6
n = 27
Graph the function y = 4 square root of x. Then use the graph to find the missing x- or y-coordinates for the function to the nearest hundredth. (4, ) (5, ) ( , 2.59)
Answer:
(4, 2)
(5, 1.76)
(1.99, 2.59
Step-by-step explanation:
other dude is wrong dont let his explanation fool you because i acrtally got it wrong and it showe me
