Answer: 0.111947
Step-by-step explanation:
Let x be a binomial variable that represents the number of people with 20-20 vision.
Given: The probability that an individual has 20-20 vision: p= 0.13
Sample size : n= 24
Binomial probability distribution formula:
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
The probability of finding five people with 20-20 vision :
[tex]P(X=5)=\ ^{24}C_5(0.13)^5(1-0.13)^{24-5}\\\\=\dfrac{24!}{5!19!}(0.13)^5(0.87)^{19}\\\\=0.111946975387\approx0.111947[/tex]
Hence, the required probability = 0.111947
The probability of finding five people with 20-20 vision is 0.0461.
Binomial Probability:The formula for the Binomial Probability is,
[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}[/tex]
Given that,
[tex]p = 0.13\\1 - p = 0.87\\n = 72\\x = 5[/tex]
Substituting the given values into the above formula we get,
[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}\\P(X=5)=(\frac{72!}{5!(72-5)!} ) (0.13)^5(0.87)^{72-5}\\P(X=5)=0.0461[/tex]
Learn more about the topic Binomial Probability:
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if 7y=2x-5, then x = ?
Answer:
the answer is -0.7
Step-by-step explanation:
first you multiply 2 ×-5 that will give you negative 10 then you divide 7 ÷ -10 and you get -0.7
PLEASE HELP ME I DO'T UNDERSTAND DIS MATh
Answer:
60%
Step-by-step explanation:
A percent is technically just a fraction over 100.
To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:
(1560 / 2600) * 100 = 0.6 * 100 = 60/100
Thus, we know that the percent is 60%.
what is the inverse of
Answer:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-18&5\\-6&-2\end{array}\right][/tex]
Required
Determine the inverse
A matric is of the form:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
First, we need to calculate the determinant (D)
[tex]D = a * d - b * c[/tex]
By comparison, we have:
[tex]D = (-18 * -2) - (5 * -6)[/tex]
[tex]D = (36) - (-30)[/tex]
[tex]D = 36 +30[/tex]
[tex]D = 66[/tex]
The inverse is then represented as:
[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
This gives:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
What is the constant of proportionality of the equation y=4/5x?
Answer:
Step-by-step explanation:
y=
4
5
x
2 1/2 + 3
As a fraction or a mixed number in simplest form. please Thankss ;p
2 1/2 +3
pretend that there is a denominator for 3 which is 1
2 1/2 +3/1
find the common denominator for 3/1 which is 2
multiply by 2 for 3/1
3(2)/1(2)=6/2
2 1/2 +6/2
make 2 1/2 into a fraction
multiply 2*2 first
2*2=4
add 4 with the numerator
4+1=5
2 1/2=5/2
5/2+6/2
=11/2
= 5 1/2
answer: 11/2 or 5 1/2
Which of the following inequalities matches the graph?
x < 2
y > 2
y < 2
x > 2
Answer:
Step-by-step explanation:
y=2x+2
Find the 9th term of the geometric sequence 9, 27, 81
Answer: 243
Step-by-step explanation:
It’s going up by the square roots of 3 so therefore the fourth term is 3 to the fourth power which is 243.
Based on its degree, what kind of polynomial is this?
h(x) = 4x^4 + 2x - 5
Answer:
Quartic
Step-by-step explanation:
Given
[tex]h(x) = 4x^4 + 2x - 5[/tex]
Required
Name the polynomial
The question required that the polynomial be named based on its degree.
This implies that, we name the polynomial based on the highest power of x
Highest power of x = 4
When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.
Hence, by degree; the polynomial is quartic
3*square root of 7 /5*square root of 7
Answer:
[tex]\frac{3}{5}[/tex] (Decimal: 0.6)
Step-by-step explanation:
[tex]\frac{3\sqrt{7} }{5\sqrt{7} }[/tex]
Cancel the common factor: √7
= [tex]\frac{3}{5}[/tex]
What does s+8 equal?
Answer:
it will be 12f
Step-by-step explanation:
since you told the wrong question
Mr. Jensen bought 2 2/3 gallons of gasoline yesterday. Today he brought 3 1/2 more gallons. How many total gallons of gasoline has he bought?
A. 5 3/5 gallons
B. 5 3/6 gallons
C. 6 1/6 gallons
D. 5 1/6 gallons
Answer:
The correct answer is C. 6 1/6 gallons.
Step-by-step explanation:
Hope that helps you and please give me brianliest!! I only need one more brainliest to rank as an Expert...
Answer:
c
Step-by-step explanation:
2 2
3
+
3 1
2
= (2 + 3) + (
2
3
+
1
2
)
= 5 +
2 × 2
3 × 2
+
1 × 3
2 × 3
= 5 +
4
6
+
3
6
= 5 +
4 + 3
6
= 5 +
7
6
= 5 +
1 1
6
=
6 1
6
Please do question 5 im giving out brainlyist or something like that :)
I would say none
because each one equals to 24 students, when it says there are 24 students in each are class. so you would need to do 24 * 5 to get the amount of students.
Answer:
The second answer choice
Step-by-step explanation:
if you divided the total amount of people in all of the art classes by 5 you would get 24. Or you could think of it as multiplying by 5 on both sides which would give you "s" because it cancels out on the left side.
Use the inequality below to answer the question. 0.08 g + 0.2 < 5 Which set of values contain possible solutions for g?
Answer: g<22.5
Step-by-step explanation:
Isolate the variable by dividing each side by the factor that don’t contain the variable.
A random sample of 100,000 credit sales in a department store showed an average sale of $82.25. From past data, it is known that the standard deviation of the population is $30.00. The margin of error is 0.186.
Required:
a. What is the 95% confidence interval of the population mean?
b. With a 0.95 probability, determine the sampling error?
c. Determine the standard error of the mean.
Answer:
Step-by-step explanation:
Given that:
Sample Mean [tex]\overline x[/tex] = 82.25
The Standard deviation of the population [tex]\sigma[/tex] = 30.00
The Sample size = 100,000
The margin of error M.O.E = 0.186
At a 95% confidence interval level;
[tex]=\overline x - M.O.E < \mu < \overline x + M.O.E[/tex]
= 82.25 - 0.186 < [tex]\mu[/tex] < 82.25 + 0.186
= 82.064 < [tex]\mu[/tex] < 82.436
= (82.064 , 82.436)
The 95% confidence interval of the population mean = (82.064 , 82.436)
Before we can determine the sampling error, we need to find the standard error of the mean.
The standard error of the mean is:
[tex]\mu_ {\bar x} = \mu = 82.25[/tex]
[tex]\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]\sigma_{\bar x} = \dfrac{30}{\sqrt{100000}}[/tex]
[tex]\sigma_{\bar x} = \dfrac{30}{316.23}[/tex]
[tex]\sigma_{\bar x} = 0.096[/tex]
At 95% confidence interval, the level of significance = 1 - 0.95 = 0.05
[tex]Z_{0.05/2} = Z_{0.025}[/tex] = 1.96
Now, the sampling error can be determined by using the formula:
[tex]=Z_{\alpha/2} \times \sigma _{\overline x}[/tex]
[tex]=Z_{0.025} \times \sigma _{\overline x}[/tex]
= 1.96 × 0.096
= 0.18816
In a survey of 468 registered voters, 152 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campaign claims that no more than 32% of registered voters wish to see her defeated. Does the 95% confidence interval for the proportion support this claim?
a. The reasonableness of the claim cannot be determined.
b. Yes
c. No
Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ± [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
[tex]p=\frac{152}{468}[/tex]
p = 0.3248
0.3248 ± [tex]1.96\sqrt{\frac{0.3248(0.6752)}{468} }[/tex]
0.3248 ± [tex]1.96\sqrt{0.000468}[/tex]
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.
the expression that is equal to -10(4x – 5).
Which statements are true?
–1.3 is less than Two-fifths.
1.5 is less than –0.2.
Two-fifths is greater than –0.2.
Negative one-fourth is less than –0.2.
1.5 is greater than Two-fifths.
Answer:
A, C, D and E
Step-by-step explanation:
Hope it helps :D
Answer:
A,C,D and E
Step-by-step explanation:
Meg measured the length of some pieces of wire.?What is the difference in lenght between the longest and shortest piece of wire?
Bill purchased a $3499.25 plasma TV. The sales tax rate is 5%. What is the sales tax?
Answer:
174.9625
Step-by-step explanation:
Multiply the cost by 0.05
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer:
B.) 0.684 and 0.122
Step-by-step explanation:
A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
pi = 3.14159265359.....
e = 2.71828182845.....
Both are irrational
Whoever answers correctly gets brainlist.
Answer:
57/60-52/60
Step-by-step explanation:
First you have to make the denominator the same to subtract. By find out what number they have in common. And the number was 60. 15x4=60 and 20x3=60. And whatever you do to the bottom you do for the top 19x3= 57. 13x4=52. So the form would be 57/60-52/60. Once you find the form then you subtract 57-52=5 and when you minus the denominator it stays the same. so the ANSWER would be 5/60.
A ghoul is flying at 23 miles per hour when a ghoul policeman stops him. The speed limit is 20 miles per hour. He has to pay a $5.25 fine for every mile over the speed limit.He pays the fine a week late and has a $2 fee for every day he was late. Before he paid his fine he had $278.96. How much did he have AFTER paying his fine?
Answer:
249.22
Step-by-step explanation:
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer:
Step-by-step explanation:
Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent
75% of the tape diagram is shaded.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The tape diagram.
Let us consider the whole tape as 1 and 100%.
It is divided into four parts.
3 parts of 4 parts are shaded.
Three divided by four.
3/4=0.75
Now multiply 0.75 with 100.
0.75×100
75%
Hence, 75% is the shaded diagram percentage.
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1. This table shows the input and output values for an exponential function f(x).
What is the ratio of outputs for any two inputs that are one value apart?
4
−12
2
−2
2. The table represents an exponential function.
What is the ratio of outputs for any two inputs that are two values apart?
Divide the larger output by the smaller output.
Enter your answer, as a decimal to the nearest hundredth, in the box.
3. Which situations can be represented by an exponential function?
Select each correct answer.
The value of a motorcycle decreases by 12% each year.
In a structure made of soup cans, each row has 6 more cans than the previous row.
Every year, the number of online subscribers to a service is 4 times what it was the previous year.
A doctor's office accepts 20 new patients each month.
Answer:
Question 1) Is option C: 2. (Question 2) The correct answer is 1.09 for the K12 program. Question 3) Option A: The value of a motorcycle decreases by 12% each year. (Option C) Every year, the number of online subscribers to a service is 4 times what it was the previous year.
The ratio of outputs for any two inputs that are one value apart is 4 thus option (A) is correct. The ratio of outputs for any two inputs that are two values apart is 1/8. The situation in option (3) represents the exponential function.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given table,
The ratio of outputs for any two inputs that are one value apart = (-1/2)/(-1/8) = 4
The ratio of outputs for any two inputs that are two values apart = (-1/8)/(-1) = 1/8
Every year, the number of online subscribers to a service is 4 times what it was the previous year's exponential function with a 4^x exponent.
Hence "The ratio of outputs for any two inputs that are one value apart is 4. The ratio of outputs for any two inputs that are two values apart is 1/8 and the third statement shows exponential function".
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If the vertex of image Q' is located at coordinates (16,8) was dilated by a scale factor of 2, what was the coordinates for the pre-image Q?
Answer:
(32,16)
Step-by-step explanation:
When you dilate a coordinate by a factor say a, the coordinate of the image are multiplied by this factor to get the coordinate of the pre-image. For example, if the coordinate of the image is (x,y) dilated by a factor of "a", the coordinate of the pre-image will be (ax, ay)
Given the coordinate (16, 8) the coordinate of the pre image of dilated by a factor of 2 is given as;
(2×16, 2×8) = (32, 16)
Hence the coordinates for the pre-image Q is (32,16)
write in standard form: (5×100)+(6×1)+(5×1/10)+(9×1/1000)
Answer:
9,556
Step-by-step explanation:
PLS HELP ME WHO EVER GETS ANSWER I WILL GIVE BRAINLIEST AND ALL MY POINTS SO PLEASE ANSWER THIS PLSSS ITS EASY
Answer:
15
Step-by-step explanation:
Answer:
200 detective phones.
Step-by-step explanation:
Write the proportion where x is the number of detective phones.
cross multiply
divide both sides by 60
What is the SEC?
a. The largest stock exchange in North America
b. The margin of profit you gain from stock
C. The government agency which oversees the trading of stock
d. The total worth of your stock portfolio
Answer:
C.
Step-by-step explanation:
If XYZ is equilateral and WXY is isosceles, what is the measure of ∠WZY?
HELP Calc Multiple Choice 25 POINTS
Answer:
C
Step-by-step explanation:
[tex]f'(x)=g(x) * (x^2-4)\\0=g(x)*(x^2-4)\\x={-2,2}\\f(-4) = -\\f(-2) = 0 \\f(0) = +\\f(2) = 0 \\f(4)= -\\\\[/tex]
It decreases from negative infinity to -2, then increases, so x=-2 is a rel. min.
It increases from x=-2 to x=2, then decreases to infinity, so x=2 is a rel. max.