Answers
Related Questions
Lincoln High School has 78 seniors, 116 juniors, 119 sophomores, and 107 freshmen. Three student names are chosen randomly without replacement. What is the probability of, without replacement, a senior being chosen first, followed by a sophomore, and followed by a junior?
Answers
Answer:
11/320
Step-by-step explanation:
the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.
multiplied by the probability of a sophomore being chosen 10/80 which equals .125.
multiply those together and you get your probability. 0.034375 or 11/320
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
what is it?
Answers
Answer:
0.30 you divided the total by the number of units which is 4
Answer:
£ 0.3
Step-by-step explanation:
Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .
We can simply use Unitary Method here ,as ,=> 4 chocolates costs £1.20 .
=> 1 chocolate will cost £1.20/4 = £ 0.3
Hence the cost of unit is £ 0.3A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an average of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference
Answers
Answer:
Test statistic = - 0.851063
- 2.520463
Step-by-step explanation:
H0 : μ ≥ 15
H1 : μ < 15
Sample mean, xbar = 14.5
Sample standard deviation, s = 4.7
Sample size = 64
Teat statistic :
(xbar - μ) ÷ (s/√(n))
(14.5 - 15) ÷ (4.7/√(64))
= - 0.851063
The critical value at α = 0.05
Using the T - distribution :
Degree of freedom, df = 64 - 1 = 63
Tcritical(0.05, 63) = 1.6694
Test statistic - critical value
-0.851063 - 1.6694
= - 2.520463
The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean zinc concentration in the river. Assume that the population standard deviation is 0.3 gram per milliliter.
Answers
Answer:
The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.
The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.
Step-by-step explanation:
95% confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{2.6}{\sqrt{36}}[/tex]
[tex]M = 0.85[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.
The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.
The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.
99% confidence level:
By the same logic as for the 95% confidence interval, we have that [tex]Z = 2.575[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.575\frac{2.6}{\sqrt{36}}[/tex]
[tex]M = 1.12[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.
The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.
The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.
100 points
(algebra one)
describe and correct the error in comparing the graphs
Answers
Answer:
The error made is that the graph of [tex]y=x^{2} +3[/tex] is a vertical translation up by 3, instead of down.
Step-by-step explanation:
Exponential functions, when they are graphed, use the function [tex]f(x)=a(x-h)^{2} +k[/tex].
In the equation, k expresses how much the graph shifts vertically. In this case, the function shifts vertically up by 3 from the parent function, [tex]y=x^{2}[/tex]. So, the translation is actually 3 units up compared to the graph of [tex]y=x^{2}[/tex].
Hope this helps and have an amazing day!! ❤
HELP PLEASE!!
Explain the error in the following exercise;
then correct it.
Answers
Answer:
2/1x7/6=14/6=7/3
Step-by-step explanation:
Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.
‘Then simplify 14/6 to 7/3
What is equavalent 3 11/40.
The best estimate close to this answer 3 11/40
A. 2 1/2
B. 3 Plzz help me
C. 3 1/2
D. 4
Answers
Answer:
C. 3 1/2Step-by-step explanation:
Estimate the fraction part of the number.
11/40 > 10/40 = 1/4We can estimate the fraction part as 1/2 since its greater than 1/4.
The number becomes 3 1/2.
Best choice is C
Answer:
11/40>10/40=1/4 is a part of ½
so
best estimate is 3 ½.
Five friends built a marble tower. The marble tower had a curved track. The track was designed so that the marbles would move down the track in a circular path. The track ended on the floor. Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor. This is what they said:
Answers
Answer:
The best answer is of Keira's.
Step-by-step explanation:
The full question is as follows :
Given - Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor.
This is what they said:
Magda : '' I think it will roll in circles.''
Soledad : '' I think it will curve for a bit and then straighten out.''
Allen : '' I think it will roll out in one big curve.''
Keira : '' I think it will roll in a straight line,''
Rafael : '' I think it will zigzag for a little while.''
To find - Which friend do you most agree with ?
Proof -
The best answer is Keira's.
The marble having the track will travel in a straight line.
The behavior is true for all objects.
If no outside force act on an object, the object will travel in a straight line at a constant speed.
When the marble leaves the end of the track, it is no longer in contact with the walls of the track.
That is , the marble has no longer a center-pushing force.
According to Newton's First law, an object remains at rest or in uniform motion in a straight line unless acted upon by an external force.
Since, there is no longer a center-pushing force so the marble rolls off the end of the track in a straight line path across the floor.
An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar.
5
?
Answers
Answer:
Total cost of the loan $55,969.8.-
Step-by-step explanation:
Giving the following information:
An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.
To calculate the total cost of the loan, we need to use the Future Value (FV) formula:
FV= PV*(1 + i)^n
PV= loan
i= interest rate
n= number of periods
FV= 32,000*(1.0575^10)
FV= $55,969.8
100 percent of your income after you retire will probably come from social security and the companies that employed you
A- you get a fat tire on your car
B- you work three jobs in order to pay your bills
C- it cost you $50 to gas up your car this month. But last month it cost you $85
D- it cost you $85 to gas up your car this month. But last month it only cost you $50
Answers
your car
What is the measure of 4? Please and thank you :)
Answers
Answer:
[tex]\angle 2 = 48[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 48[/tex]
Required
Find [tex]\angle 2[/tex]
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.
So:
[tex]\angle 2 = \angle 1[/tex]
Substitute [tex]\angle 1 = 48[/tex]
[tex]\angle 2 = 48[/tex]
Is 3.37 less than 3.368
Answers
Answer:
no
Step-by-step explanation:
Answer:
it's not
Step-by-step explanation:
A 6-sided die with sides numbered 1 through 6 is tossed. A penny is then tossed. If the penny comes up heads, the value of the die is multiplied by 2. Otherwise, the value of the die is left unchanged.
What is the probability that the outcome is less than 6?
Answers
Answer:
The probability that the outcome is less than 6 is 58.333%.
Step-by-step explanation:
Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:
(5/6 + 2/6) / 2 = X
(0.8333 + 0.0333) / 2 = X
1.1666666 / 2 = X
0.583333 = X
Therefore, the probability that the outcome is less than 6 is 58.333%.
If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6
Answers
The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1 / ( x + 2 )
Now , the value of x > 3
So , the value of f ( x ) = f ( a )
And , when x > 3
f ( 4 ) = 1 / ( 4 + 2 )
f ( 4 ) = 1 / 6
Hence , the function is f ( 4 ) = 1 / 6
To learn more about function rule click :
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The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80
Answers
Answer:
A. 91
Step-by-step explanation:
Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180
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x plus 1 > 3
The souliton is
Answers
Answer:
x > 2
Step-by-step explanation:
x + 1 > 3
Subtract 1 from both sides
x + 1 - 1 > 3 - 1
x > 2
You have just gotten your first job. You have decided you want to take your parents out for dinner to celebrate and you have anticipated it will cost approximately $120 for the three of you to go out for dinner. At your job, you make an hourly wage of $11. How many hours would you need to work to pay for the dinner? What if you wanted to add a 15% tip? Could your strategy also allow you to find out how much money you made for any number of hours?
Answers
Answer:
I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.
If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.
In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.
Step-by-step explanation:
Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:
120/11 = X
10.9 = X
11 x 11 = 121
Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.
(120 x 1.15) / 11 = X
138/11 = X
12.54 = X
11 x 13 = 143
Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.
In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
4/5
Step-by-step explanation:
Given :
A right angled triangle with sides 24 , 3 and 40 .And we need to find the value of sinZ .
We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,
[tex]:\implies[/tex] sinZ = p/h
[tex]:\implies[/tex] sin Z = 32/40
[tex]:\implies[/tex] sin Z = 4/5
Hence the renquired answer is 4/5.
Quadratics need help making parabola
Answers
Answer:
The equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex], whose real vertex is [tex](x,y) = (2, -5.333)[/tex], not [tex](x,y) = (2, -5)[/tex].
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
[tex](x_{1}, y_{1}) = (-2, 0)[/tex], [tex](x_{2}, y_{2}) = (6, 0)[/tex], [tex](x_{3}, y_{3}) = (0, -4)[/tex]
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
[tex]4\cdot a -2\cdot b + c = 0[/tex] (1)
[tex]36\cdot a + 6\cdot b + c = 0[/tex] (2)
[tex]c = -4[/tex] (3)
The solution of this system is: [tex]a = \frac{1}{3}[/tex], [tex]b = - \frac{4}{3}[/tex], [tex]c = -4[/tex]. Hence, the equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex]. Lastly, we must check if [tex](x,y) = (2, -5)[/tex] belongs to the function. If we know that [tex]x = 2[/tex], then the value of [tex]y[/tex] is:
[tex]y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4[/tex]
[tex]y = -5.333[/tex]
[tex](x,y) = (2, -5)[/tex] does not belong to the function, the real point is [tex](x,y) = (2, -5.333)[/tex].
50 POINTS PLEASE HELP
A normal work day for Carl is from 8:00 a.m. to 4:30 p.m. Carl wants to figure out the degree measure that the hour hand makes while he is at work. Carl believes that if he divides 360 by 12 and multiplies the result by 8.5 he will have the correct degrees the hour hand moves. Is Carl correct? If not, choose the appropriate explanation.
A
Yes, Carl is correct. The process he takes will give him the correct degrees the hour hand moves.
B
No, Carl is incorrect. He must take the number he ends up with and subtract it from 360.
C
No, Carl is incorrect. The hour hand will go around the clock 360 degrees.
D
No, Carl is incorrect. He must first multiply 360 by 12 and then divide by 8.5.
Answers
Answer:
The answer is B brainliest?
Step-by-step explanation:
Help me pls, I'm confused
Answers
Answer: A B and C
Step-by-step explanation:
D has an area of 15 and A B and C have an area of 12.
The explanation is like what the guy said on the top
The difference of x and y is the same as 3 times the sum of x and 2
Answers
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?
Answers
Answer:
Step-by-step explanation:
40% + 35 % = 80 % so 20% are dated after 1980
20% is .20 in decimal form
.20 (1600) = 320 coins dated after 1980
Plz help me well mark brainliest if correct................?
Answers
Answer:
B. 8cm*12cm
Step-by-step explanation:
Area is the product of the two sides:
6*16 = 96
8*12 = 96
10*10 = 100
Perimeter is the sum of all four sides:
6+16+6+16 = 44
8+12+8+12 = 40
The answer is B. 8cm*12cm
Plsss help will give brainlest no links or files plss
Answers
Answer:
1: 62
2: 118
3: 62
4: 118
Step-by-step explanation:
1 and 3 are opposite angles so they have the same measure. 2 and 1 are adjacent angles on a linear plane. since a line is 180 degrees and we know that one of the angles on this plane is 62, that means that angle 2 must be 180 - 62 which 118 degrees
Solve the following system of equations:
x+2y=-4
x-2y=8
Answers
Answer:
x=2 y=-3
Step-by-step explanation:
We first need to isolate x to get x+2y=-4:x=-4-2y
-4-2y-2y=8
simplify:
-4-4y=8.
We can also do the same for y which is -4-4y=8:y=-3
for the x, we can now substitute it to give us:
x=-4-2(-3)
-4-2(-3)=2
x=2
So, our answers are x=2 and y=-3
Answer:
Step-by-step explanation:
x+2y=-4
x-2y=8 Add
2x = 4 Divide by 2
2x/2 = 4/2
x = 2
x + 2y = - 4 Substitute 2 for x
2 + 2y = - 4 Subtract 2 from both sides
2y = - 4 - 2
2y = - 6 Divide by 2
2y/2 = - 6/2
y = - 3
please find the value of X for number 4 5 and 6 thank you :)
Answers
Answer:
4. x = 6
5. x = 31
6. x = 34
Step-by-step explanation:
4. vertical angles
- 36/6 = 6
5. supplementary angles
180 - 56 = 124
124/4 = 31
6. complementary angle
90 - 22 = 68
68/2 = 34
Answer:
4. x = 6°
5. x = 31°
6. x = 34°
Step-by-step explanation:
4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.
6x = 36°
x = 36 / 6
x = 6°
5.
180° - 56° = 4x
124° = 4x
x = 31°
6.
90° - 22° = 2x
68° = 2x
x = 34°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help I will give you brainliest
Answers
Answer:
Answer is 5 3/4
Step-by-step explanation:
Thanks Hope this helps
An office building is 18 meters high. What
calculation would convert its height to
yards? Use 1 meters = 1.09 yards.
Answers
Answer:
19.62 yards
Step-by-step explanation:
18 x 1.09 = 19.62
The number of homeruns hit by each player on the Bobcats baseball team is listed below.
Which measure of center best describes the approximate number of homeruns hit by a typical Bobcat player?
12, 8, 4, 3, 3, 2, 2, 2, 0
Mode
Range
Median
Mean
Answers
Answer:
mean
Step-by-step explanation: