Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let P(X = x) mark x model number classified correctly.
The mass function of the probability:
[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]
[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]
What is 0.0000381 in scientific notation
Answer:
Step-by-step explanation:
Move the decimal place to the right until you get 3.81, that is 5 places. When you move a decimal place to the right, you have to subtract from the power.
[tex]3.81*10^-^5[/tex]
Answer:
3.81x10^-5
Step-by-step explanation:
The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1750 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 100 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1754 pounds. Can we support, at the 0.1 level of significance, the claim that the mean breaking strength has increased
Answer:
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Step-by-step explanation:
The null and alternative hypotheses are stated as
H0: u ≥ 1750 i.e the mean is less and equal to 1750
against the claim
Ha: u > 1750 ( one tailed test) the mean is greater than 1750
Sample mean = x`= 1754
Population mean = u = 1750
Population deviation= σ = 65 pounds
Sample size= n = 100
Applying the Z test
z= x`- u / σ/ √n
z= 1754- 1750 / 65/ √100
z= 4/6.5
z= 0.6154
The significance level alpha = 0.1
The z - value at 0.1 for one tailed test is ± 1.28
The critical value is z > z∝.
so
0.6154 is < 1.28
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Brandon opened a checking account with $125 and deposits $25 into it every week. He opened another account with $225 and deposits $35 into it every week. a. Write a simplified expression to represent how much he will have in both accounts after w weeks. b. After 15 weeks, how much money will he have?
Answer:
A. 60w+350
B.1250
Step-by-step explanation:
w weeks later money =
Money first account -125+25w
Money second acount-225+35w
Total-60w+350
15 weeks =60(15)+350= 900+350=1250
Please help! 10 POINTS!
Please solve
2x^2+10+8=0
Answer:
x must be a negative i mean it has to how tfk do you get zero at an answer what kn the world
order the following from least to greatest 5.392, 5.932, 0.593, 0.9
Answer:
0.593, 0.9, 5.392, 5.932
Step-by-step explanation:
hope this helps^-^
a championship swimmer swims 20 meters in 10 seconds. what is his speed
Answer:
his speed is 2 meters per second
Answer:
his speed is 2 meters per second
Step-by-step explanation: none
What is the smallest unit of time? (Hint: its not a nanosecond or a microsecond or a second)
You want to cover a circular clock in fabric. If the radius of the clock is 6 inches. then how many square inches of fabric will you need?
Answer:
18.84
Step-by-step explanation:
To find the diameter of an question, multiple the radius by 2, since the radius always covers half of the circular clock. Then multiple 12 x pi = 18.84.
(pi = 3.14)
SOMEONE PLEASE PLEASE HELP ASAP
Find X please put how you got it
....................
Answer:
x = 24
Step-by-step explanation:
20 x 6 = 120
5 x 24 = 120
5(24) divided by 6 = 120/6 = 20
hope i helped you!
2 can be the same or more helpppppp
answer:
4d + 2w and 1/2(8d + 4w)
- read each line correctly and try to make something out of it, if that makes sense
On a cold winter day, the temperature in minimal was 12 degrees below zero. On the same day, the temperature in Anchorage was-21 Degrees below zero. In which city was it colder? Explain how you know...
Please help
Answer:Minneapolis was colder because −14<−23.
Step-by-step explanation:Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
5 -1 -6 -2 3 7 0
Arrange them in order from coldest to warmest temperature.
On a winter day, the low temperature in Anchorage was 23 degrees below zero (in ∘C ) and the low temperature in Minneapolis was 14 degrees below zero (in ∘C ). Sophia wrote,
(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.
Answer:
Hello your question is poorly written below is the complete question
An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean
answer : variance = 2
Step-by-step explanation:
compute the variance of the number of claims filed
x = number of claim filed
For Poisson distribution
mean = variance = Л
∴ Variance = 2
Which size box of rice shown in the table has the lowest unit price?
Answer:
12 oz
Step-by-step explanation:
5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so
Δv = [tex]2m_{p}[/tex] / L
Δv / 2 = [tex]m_{p}[/tex] / L
given that the error must be at most 1% of [tex]m_{p}[/tex],
1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
Can someone please help me.
Answer:
B.
Step-by-step explanation:
That's like the only answer that makes sense.
10 points
Elizabeth was cleaning her purse on Monday. She discovered $4.60 in the bottom of her purse. The coins were only dimes and nickels. She had a total of 49 coins
and solve a system of equations to determine how many of each coin Elizabeth has.
1 Drag ni Drop here or Browse
I
$4.60= 49 coins ( she only had dimes and nickles)
100 dimes= $1.00 times 4 is 400 dimes
12 nickels= .60 cents
all of this will = to $4.60
Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.
Answer:
0.01521
Step-by-step explanation:
The Margin of Error for Difference in Proportions is given as:
z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2
z = z score for 95% confidence interval
= 1.96
In 2018, out of 1542 respondents, 415 said it was the most important.
p1 = x1/n1
x1= 326 n1 = 1323
p1 = 326/1323
0.246409675
Approximately = 0.246
In 2012, out of 1323 respondents, 326 said it was the most important.
p2 = x2/n2
x2 = 415, n2 = 1542
p2= 415/1942
p2 = 0.2136972194
Approximately = 0.214
Margin of Error =
1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542
1.96 × √0.0005699169 - 0.0005097276
1.96 × √(0.0000601893)
1.96 × 0.0077581763
= 0.0152060256
Approximately = 0.01521
Therefore, Margin of Error = 0.01521
You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
How to calculate margin of error for difference in proportion to find the margin of error ?Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:
[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
where we have:
[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]
and
[tex]\alpha = \text{Level of significance}[/tex]
Using the given data to get the margin of error[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]
For 95% confidence, we have Z score as 1.96
The proportions are calculated as:
[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]
Thus, margin of error is calculated as
[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
Learn more about margin of error here:
https://brainly.com/question/4757147
What is 3.65 x 5
♀️
Answer:
18.25
Step-by-step explanation:
PLZ HELP ME THIS IS 7th GRADE MATH
Answer:
I am so sorry I dont get it
Answer:
if the scale factor is asking for how much the square was scaled up then it would be 1,938 if its asking for the fraction to be simplified then find the amount it was scaled up it would be 45
Step-by-step explanation:
B
C
x
50°
A
D
ABCD is a rectangle.
AC and BD are straight lines.
The angle between AC and BD is 50°.
Work out the size of the angle marked x.
Answer:
The answer is : x = 130 degrees
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? will mark brainliest
Answer:
120 mm
Step-by-step explanation:
10.A noted psychic was tested for ESP. The psychic was presented with 200 cards face down and askedto determine if the card was one of five symbols: a star, cross, circle, square, or three wavy lines. Thepsychic was correct in 50 cases. To determine if he has ESP, we want to know if his success rate is betterthan someone who just guesses. That is, we test the hypotheses H0: p
Answer:
Step-by-step explanation:
The sample proportion [tex]\hat p = \dfrac{50}{200}[/tex]
[tex]\hat p = 0.25[/tex]
The null hypothesis and the alternative hypothesis:
[tex]H_o: p = 0.20 \\ \\ H_1 : p > 0.20[/tex]
Thus; the test statistics is:
[tex]Z = \dfrac{\hat p - p_o}{\dfrac{p_o(1-p_o)}{n} }[/tex]
[tex]Z = \dfrac{0.25 -0.20}{\sqrt{\dfrac{0.20(1-0.20)}{200} }}[/tex]
[tex]Z = \dfrac{0.05}{\sqrt{\dfrac{0.16}{200} }}[/tex]
[tex]Z = \dfrac{0.05}{\sqrt{0.0008 }}[/tex]
[tex]Z = 1.768[/tex]
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
The dimensions of a miniature model are proportional to the dimensional of the actual building
Answer:
The model and the actual building would be similar
Step-by-step explanation:
Simplify (4+y) + (8y - 5)
Answer:
it is 9y-1
Step-by-step explanation:
You have to simplify the expressions.
Please help I don't get this question
Answer:
D because 9 + 5 = 14 and one variable by itself is equal to 1 so 14 + 1 = 15 add the variable, 15x
I NEED HELP ASAP PLEASE PLEASE PLEASE.
Answer:
C
Step-by-step explanation:
7-7 is wrong
PLEASE PLEASE HELP THANKS SO MUCH
Answer:
a= 12
b= 9
I hope this helps
Answer:
a=12
b=9
Step-by-step explanation:
b=0.75a
a+b=21
a+0.75a=21
1.75a=21
a=12
a+b=21
12+b=21
b=9
if $15,000 is invested at 12% interest compounded monthly, find the interest earned in 12 years.
Answer:
A
Step-by-step explanation:
It’s a
Answer:
62859.23
Step-by-step explanation:
our equation is as follows
[tex]PV(1+\frac{i}{n})^{nt)}\\\\15000(1+\frac{.12}{12})^{12*12}\\15000(1+.01)^{144}\\\\62859.23[/tex]