Answer:
A= πr^2
45=πr^2
45/1 =22/7×r^2
45/1=22r^2/7 cross multiply
22r^2 ×1=45×7
22r^2=315 divide both sides by 22
22r^2/22=315/22
r^2=14.318
One hundred draws are made at random with replacement from box A, and 250 are made at random with replacement from box B. (a) 50 of the draws from box A are positive, compared to 131 from box B: 50.0% versus 52.4%. Is this difference real, or due to chance
Answer:
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
Step-by-step explanation:
Sample size A [tex]n_a=100[/tex]
Sample size B [tex]n_b=250[/tex]
Positive draw from box A [tex]n_a=50[/tex]
Positive draw from box b [tex]n_b=131[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{50}{100}[/tex]
[tex]P_1=50%[/tex]
Therefore
[tex]1-P_1=50\%[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{131}{250}[/tex]
[tex]P_1=52.4%[/tex]
Therefore
[tex]1-P_1=47.6\%[/tex]
Generally the equation for Standard error S.E is mathematically given by
[tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]
[tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]
[tex]S.E=0.592[/tex]
[tex]S.E=59.2\%[/tex]
Therefore
[tex]Z=\frac{50-52.4}{59.2}[/tex]
Generally
[tex]P value P>0.05[/tex]
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
The graph shows two lines, A and B.
6
A
B В
5
4
3
1
0
1 2
3 4 5 6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answer:
A: 1 solution: the lines intersect at one point
B: (3,4), reference graph for solution
Step-by-step explanation:
A: solutions are equivalent to how many intersections two lines have, and we can see that these lines intersect once and won't intersect again
B: luckily the intersection point is super easy to plot, so we can just reference the graph for our solution!
Write an equation of the line with a slope of 5/2 and a y intercept of 1
Answer:
y=5/2x+1
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept
so
y=5/2x+1
The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost
Answer Answer:
The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.
Step-by-step explanation:
Check answer
The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.
Answer:
Multiply
1/3
Step-by-step explanation:
You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.
Suppose that newborn harbor seal pups have a weight that is normally distributed, with a mean of 22.0 lbs and standard deviation of 1.1 lbs. Find the probability that a newborn pup has a weight above 24.0 lbs.
Answer:
0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 22.0 lbs and standard deviation of 1.1 lbs.
This means that [tex]\mu = 22, \sigma = 1.1[/tex]
Find the probability that a newborn pup has a weight above 24.0 lbs.
This is 1 subtracted by the p-value of Z when X = 24. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 22}{1.1}[/tex]
[tex]Z = 1.82[/tex]
[tex]Z = 1.82[/tex] has a p-value of 0.9656.
1 - 0.9656 = 0.0344
0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.
A two dimensional shape with four angles
Answer:
A rectangle I think
Shelly receives a salary of $450 plus 20% commission on everything she sells. She sold $ 600 worth of office supplies. What was her total pay check
Answer:
$1140 or $540
Step-by-step explanation:
450*1.2=540
540+600=1140
4. Simplify each expression:
a. 14x - 6x + 12
1.
(x - 6)(x - 7)
b. 14 - 4x - 8 + 3x
j.
(7x - 12 + 2y) - (7x + 14 - 2y)
c. 10x2 - 5x + x2 - 5x
k. (x + 4)(x - 6)
d. 4x2 - 10x - 7 - 2x2 + x
I.
(x + 3)(x + 10)
e. 5(2x2 - 4x + 9)
m. 507 - 2x) - 7(4 - 3x)
f. 2(3x² + 7x - 4)
n. -7x + 8(x - 1) + 15
g. 8x(3x - 1)
o. 10x - 8(x - 5)
h. 3x(3x + 10)
p. 4(3 + 2x) + 7(8 - 3x)
Answer:
a. 8x+12
b.6-x
c.20-8x
d.-3-9x
e.65-20x
f.6x^2+14x-8
g. 24x^2-8x
h. 9x^2+30x
1. x^2-13x+42
j. 26+4y
k. x^2-2x-24
l. x^2+13x+30
m. 429+23x
n. 15x-7
o. 2x-40
p. 68-13x
Step-by-step explanation:
Which town will eventually have more people?
father is 20 years older than son. if the sum of their ages is 40 years find their age
Answer:
20 is the father's 20 is the son
Step-by-step explanation:
20+20=40
40/2=20
40-20=20
another way:
20:n= 40
40-20=20
20:20=40
Answer:
Step-by-step explanation:
let the age of son be x
x+x+20=40
2x=40-20
x=20/2
x=10
since age of a father is 20 more than his son's so,
x+20=father's age
10+20
30
therefore fathers age is thirty years and son age is 10 years
alguem me ajuda
por favor
Answer:
sorry I'm confused boy sorryy
In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.
a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?
b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.
c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.
d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.
Answer:
a) The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.
b) The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.
c) The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).
d) The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Standard error:
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Margin of error:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}} = zs[/tex]
The confidence interval is:
Sample proportion plus/minus margin of error. So
[tex](\pi - M, \pi + M)[/tex]
In a simple random sample of 1500 young Americans 1305 had earned a high school diploma.
This means that [tex]n = 1500, \pi = \frac{1305}{1500} = 0.87[/tex]
a. What is the standard error for this estimate of the percentage of all young Americans who earned a high school diploma?
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.87*0.13}{1500}} = 0.0087[/tex]
0.0087*100% = 0.87%.
The standard error for this estimate of the percentage of all young Americans who earned a high school diploma is 0.87%.
b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Then
[tex]M = zs = 1.96*0.0087 = 0.0171[/tex]
0.0171*100% = 1.71%
The margin of error, using a 95% confidence level, for estimating the percentage of all young Americans who earned a high school diploma is of 1.71%.
c. Report the 95% confidence interval for the percentage of all young Americans who earned a high school diploma.
87% - 1.71% = 85.29%
87% + 1.71% = 88.71%.
The 95% confidence interval for the percentage of all young Americans who earned a high school diploma is (85.29%, 88.71%).
d. Suppose that in the past, 80% of all young Americans earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young Americans who cam high school diplomas has increased? Explain.
The lower bound of the confidence interval is above 80%, which means that the confidence interval supports the claim that the percentage of young Americans who cam high school diplomas has increased.
Plz help me well mark brainliest if correct!!..
Answer: A/The LINE graph
Step-by-step explanation:
Simplify the ratio
6 doctors to 27 patients
Answer:
2 doctors to 9 patients
Step-by-step explanation:
Divide each by 3. They cant be simplified more.
Please help!!! I have a chance to get $50 if I get all of these questions right!!
If you don't know all the answers please don't answer. Please answer all of the questions correctly like be 110% sure that you are correct on all of them please!! I put the questions in as an attachment like a screenshot please please please help and answer all the questions and answer them with 110% certainty that you know what you are doing!!
Answer:
number 4 is 244 number 5 is 43
Step-by-step explanation:
order of operations is key here
4:6 to the power of 3 is first
216+7*4
now do 7*4
216+28
now simplify
244
5: this one is a little bit more tricky
do the stuff inside the parentheses first
4^2+1=17
3(17)-2^3
exponent next
3(17)-8
multiply next
51-8
43 is your answer
there you go
Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(5x2 + 133 – 4) - (17:2 + 74 - 19) + (50 – 7)(3x + 1)
1 2 -
+
Answer:
14
Step-by-step explanation:
The expression for the polynomial is A = 3x² - 10x + 8
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c
Let's simplify the left-hand side of the equation using the distributive property and combining like terms:
A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)
A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7
A = 3x² - 10x + 8
Now we have:
a = 3, b = -10, and c = 8
Hence , the final equation is A = 3x² - 10x + 8
To learn more about polynomials click :
https://brainly.com/question/13199883
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7/8y + 1/2 = 1 1/5
Solve for y.
Answer:
y = 4/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
7/8y + 1/2 = 1 1/5
Step 2: Solve for y
Convert to improper fraction: 7/8y + 1/2 = 6/5[Subtraction Property of Equality] Subtract 1/2 on both sides: 7/8y = 7/10[Division Property of Equality] Divide 7/8 on both sides: y = 4/5If a vector v = (3, -4), then what is the value of ||v||?
-1
Square Root 12
5
7
======================================================
Explanation:
Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).
This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).
In this case, a = 3 and b = -4, which means...
|v| = sqrt(a^2+b^2)
|v| = sqrt(3^2+(-4)^2)
|v| = sqrt(9+16)
|v| = sqrt(25)
|v| = 5
The vector is 5 units long.
Note: we have a 3-4-5 right triangle
Which ordered pair belongs to the function shown by this mapping diagram?
Answer:
{(7, 3), (8, 1), (9, 1), (10, 2)}
Step-by-step explanation:
Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:
We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.
The ordered pairs (x, y) are as follows:
{(7, 3), (8, 1), (9, 1), (10, 2)}
If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?
Answer:
[tex]s = - \frac{1}{4} [/tex]
Step-by-step explanation:
For m to be equal to n,
[tex]2s = \frac{2s- 1}{3} [/tex]
Multiply both sides by 3:
[tex]6s = 2s - 1[/tex]
Minus 2s on both sides:
[tex]4s = - 1[/tex]
Divide by 4 on both sides:
[tex]s = - \frac{1}{4} [/tex]
in a bottle there are 370 liters of water. There are 46 small
glasses, which hold only 90 ml per glass. How many extra glasses
are required to transfer all the water from the bottle?
Answer:
The number of extra glasses required is 3954.
Step-by-step explanation:
Total volume of water in a bottle = 370 liters
Number of glasses, N = 46
capacity of each glass = 90 ml = 0.09 liter
The volume of water required to fill 46 glasses is
= 0.09 x 46 = 4.14 liter
The amount of water left = 370 - 4.14 = 355.86 liter
The number of extra glasses required to fill is
n = 355.86/0.09 = 3954
So, the number of extra glasses required is 3954.
Answer:
l
Step-by-step explanation:
yeha bta hunxa...........
Use a calculator to find the lengths x and y of the legs of the right triangle shown
Answer:
y = 0.47
x = 0.91
Step-by-step explanation:
From the right angled triangle Given :
Applying trigonometry :
To Obtain y :
We use :
Tan θ = opposite / hypotenus
Tan 25 = y / 1
y = 1 * tan 25
y = 0.4663076 * 1
y = 0.47
For x :
We use :
Cosθ = adjacent / hypotenus
Cos 25 = x / 1
0.9063077 = x / 1
x = 0.9063077 * 1
x = 0.9063077
Hence, x = 0.91
In a small metropolitan area, annual losses due to storm, fire, andtheft are assumed to be independent, exponentially distributed random variableswith respective means 1.0, 1.5, 2.4. Determine the probability that the maximumof these losses exceeds 3.
Answer:
[tex]0.4138[/tex]
Step-by-step explanation:
Given
[tex]x \to storm[/tex]
[tex]\mu_x = 1.0[/tex]
[tex]y \to fire[/tex]
[tex]\mu_y = 1.5[/tex]
[tex]z \to theft[/tex]
[tex]\mu_z = 2.4[/tex]
Let the event that the above three factors is greater than 3 be represented as:
[tex]P(A > 3)[/tex]
Using complement rule, we have:
[tex]P(A > 3) = 1 - P(A \le 3)[/tex]
This gives:
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
-----------------------------------------------------------------------------------------------------------
The exponential distribution formula of each is:
[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]
So, we have:
[tex]k = 3; \mu_x = 1[/tex]
[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]
[tex]k=3; \mu_y = 1.5[/tex]
[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]
[tex]k = 3; \mu_z = 2.4[/tex]
[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]
-----------------------------------------------------------------------------------------------------------
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]
[tex]P(A > 3) = 1 - 0.5862[/tex]
[tex]P(A > 3) = 0.4138[/tex]
Find the number if 2/5 of it is 22
Answer:
22×2/5=8.8
Step-by-step explanation:
Hope it helps you
Answer:
55
Step-by-step explanation:
2/5n = 22
multiply each side by 5/2 to get:
n = 110/2
n = 55
EEE
What is the solution to the equation -3(h+5)+2 = 4(h+6)-9?
Oh=-4
Oh = -2
Oh = 2
Oh= 4
Please help I am so confused and I would really appreciate it ♥️♥️
HELP ME PASS THANKS!!!
h ( - 5 ) = - 2 × ( - 5 )
h ( - 5 ) = 10
____________________
f ( h ( - 5 ) ) = f ( 10 )
f ( 10 ) = 10 / 10 - 8
f ( 10 ) = 10 / 2
f ( 10 ) = 5
In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes 8.4 x 10 breaths per
year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer in
scientific notation in the form a x 10", what are the values of a and b?
What is the value of a?
What is the value of b?
Answer: 4
Step-by-step explanation:
I got this same question buddy im here to see the answer but there were not any
A poll states that Hillary Clinton will receive 43 percent of the vote. There is an 8 percent margin of error. What do you think of the poll
Step-by-step explanation:
This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.
Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.
Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.