According to the random survey, the majors chosen by the freshmen of our university were:
(a) The population is the entering freshmen at the university. (b) The sample is the 10% of the entering freshmen who are randomly surveyed. (c) The parameter is the proportion of entering freshmen who choose a major. (d) The statistic is the proportion of surveyed freshmen who choose a major.To get a better understanding of the proportions of students choosing certain majors, universities can survey a sample of their entering freshmen. This survey should be representative of the population, so it should be conducted using a randomized sampling technique.
The survey should ask questions about the major the student is planning on pursuing and other relevant information, such as the student's interests and motivations.
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Ethan starts an IRA (Individual Retirement Account) at the age of 34 to save for retirement. He deposits $400 each month. Upon retirement at the age of 65, his retirement savings is $709,165.25. Determine the amount of money Ethan deposited over the length of the investment and how much he made in interest upon retirement.
Ethan deposited amount $144,000 over 31 years and made a total of $565,165.25 in interest.
Ethan's total deposit amount to his IRA was $144,000 ($400 per month for 31 years). The total amount he had in his IRA upon retirement was $709,165.25. This means that he made a total of $565,165.25 ($709,165.25 - $144,000) in interest over the length of the investment. This amount was likely made up of a combination of capital gains, dividends, and other investment returns. It is important to note that the interest rate can vary depending on the type of investments chosen, so this amount may be higher or lower depending on the types of investments made.
1. Calculate the total number of months Ethan invested for: 31 years x 12 months = 372 months
2. Calculate the total amount deposited: $400 per month x 372 months = $148,800
3. Calculate the total amount upon retirement: $709,165.25
4. Calculate the total interest made: $709,165.25 - $148,800 = $565,165.25
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Subtract 3 from 8, then subtract u from the result
Answer:
The result of 8 minus 3 is 5. Then, if you subtract u from 5, the result is 5 - u.
Answer: 5-u
Step-by-step explanation: Subtracting 3 from 8 is 5. Subtracting u from the result is 5-u.
solve the following systems of linear equations using substitution.
5x + y = -13 and -5x - 6y = -22
Answer:
x = -4, y = 7
Step-by-step explanation:
The two equations are:
5x + y = -13 ... (1)
-5x - 6y = -22 ...(2)
Isolate for x in (1)
5x + y = -13
5x = -13 -y
x = (-13-y)/5
Substitute this value of x into equation (1) -5x - 6y = -22
-5 · (-13-y)/5 -6y = -22
-1(-13-y) - 6y = -22
13 + y -6y = -22
y - 6y = -22 - 13
-5y = - 35
y = -35/-5 = 7
Substitute y = 7 in equation 1
5x + 7 = -13
5x = -13 - 7
5x = -20
x = 20/-5 = -4
Ans:
x = -4, y = 7
What expression is equal to the length of segment ST in meters?
Check the picture below.
[tex]\sin(35^o )=\cfrac{\stackrel{opposite}{ST}}{\underset{hypotenuse}{34}}\implies 34\sin(35^o)=ST[/tex]
if two numbers are randomly chosen without replacement from , what is the probability their sum is greater than their product? express your answer as a common fraction.
The probability their sum is greater than their product is 11/36.
For at least a single two numbers is 1 when they are randomly selected from the range of 1, 2, 3, 4, 5, and 6.
Success is defined as a measure of probability when there is a number of potential outcomes.
For instance, there is the chance of tossing a coin & obtaining heads is 1 in 2, and there is only one way to acquire a head and there are a total of 2 possible outcomes head or tail.
Now we can indicate this with P(heads)
12 P(at least 1 one) = 1 - P. (no ones)
P(no ones)=(5/6)*(5/6)
25/36 P(at least 1 one)=(1 - 25/36).
P(sum higher than product)=P(at least 1 one) = 11/36
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Juliet's monthly entertainment expenses are $275.00 and account for 12% of her income. She would like to reduce her entertainment spending to 8% of her income.
The percentage of her income is 17.9%
What percent of her income is that amount?Percentage can be calculated by using the following rule:
Percentage = (fraction/total) x 100
Now, for this problem, the fraction of money used for expenses is 275$ while the total amount is 1536$
Substitute with these values in the above equation:
percentage = (275/1536) x 100 = 17.9%
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Correct question:
Juliet's budgets $275 each month for fixed expenses. What percent of her income is that amount if she nets $1536 each month?
The cost, $C, of hiring a car for d days when on holiday is given by C = 20d + 50.
- Draw a graph of C against d for 0 ≤ d ≤ 7.
The graph of C against d for 0 ≤ d ≤ 7 is a straight line passing through (0, 50), (1, 70), ...
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given is an equation,
C = 20d + 50
We have to find the graph of the equation.
The points on the graph will be,
C(0) = 50
C(1) = 70
C(2) = 90
.........
The graph will be a straight line passing through (0, 50), (1, 70), (2, 90), ...
The graph is given below.
Hence the graph will be a straight line passing through (0, 50), (1, 70), ...
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Which of these equations does NOT have any solutions?
10
−
3
�
−
1
=
7
+
3
�
+
2
10−3x−1=7+3x+2
12
−
7
�
−
10
=
�
−
8
�
+
2
12−7x−10=x−8x+2
13
−
4
�
+
2
=
3
�
−
7
�
+
2
13−4x+2=3x−7x+2
15
−
2
�
−
2
=
10
�
+
3
�
+
2
15−2x−2=10x+3x+2
The equation does not have solution is 13−4x+2=3x−7x+2
What is an equation?An equation is a statement that equals two algebraic expressions with 'equal to' symbol (=).
consider the given equations,
10−3x−1=7+3x+2, x=0 is the solution for this equation.
12−7x−10=x−8x+2, all real values makes this equation true, so the solution is (-∞,∞)
13−4x+2=3x−7x+2 has no solution.
15−2x−2=10x+3x+2 , has solution [tex]x=\frac{11}{15}[/tex].
Hence, equation with no solution is 13−4x+2=3x−7x+2.
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for a 95% confidence interval, you want to create a population proportion with a margin of error of no more than 0.025. how large of a sample would you need?
You would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95% confidence interval.
In order to calculate the sample size needed for a 95% confidence interval with a margin of error of no more than 0.025, the formula to use is the following:
[tex]n = (z-score)^2 * p * (1-p) / (margin of error)^2[/tex]
Where n = sample size, z-score = 1.96 (for 95% confidence interval), p = 0.5 (the expected population proportion) and margin of error = 0.025.
Substituting these values into the equation, we get:
[tex]n = (1.96)^2 * 0.5 * (1 - 0.5) / (0.025)^2\\n = 384[/tex]
Therefore, you would need a sample size of 384 in order to create a population proportion with a margin of error of no more than 0.025 and a 95 % confidence interval.
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I really need help with this question:
In a group of 14 children some are nine years old and the rest are eleven years old. When the ages of the 14 children are added together their total is 138 years. How many nine-year-old children are there?
Answer:
Therefore, there is 8 children that is 9 years old and 6 children that is 11 years old.
Step-by-step explanation:
Let x be the no. of 9 years old and y be the no. of 11 years old.
x+y= 14 (1)
9x+11y= 138 (2)
From (1) :
x=-y+14 (3)
sub (3) into (2) :
9(-y+14)+11y= 138
-9y+126+11y=138
2y= 138-126
y= 6 (4)
sub (4) into (1) :
x+6= 14
x= 8
Note
Number
of notes
b) John returns from holiday with these notes.
The exchange rate is £1 = $1. 29.
Work out how much he will get in total
when he changes these notes.
I
$50
NOT
$20
+
$10
7
$5
3
[4]
Question Feedback
Ellie Craven
Your Message
Based on the U.S. Dollars to British Pounds exchange rate, when John changes these dollar notes to pounds, the amount he will get in total is £186.05.
What is the exchange rate?The exchange rate is the unit rate at which two or more currencies are exchanged or transacted.
The exchange rate is the ratio that shows the value of one country's currency compared to another country's currency.
Notes $50 $20 $10 $5 Total
Number 1 7 3 4
Total $50 $140 $30 $20 $240
The exchange rate from British Pounds to U.S. Dollars is given as £1 = $1. 29.
Therefore, $240 = £186.05 ($240/$1.29)
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Write the terms of each sum.
3349/1260 is the amount, according to the provided document.
What does an sum total mean?The outcome of an addition is a total. For instance, adding 1, 2, 3, and 4 results in the printed number 10. (1) Addends—also known as summands—are the integers that are being added together.
(a)
[tex]\begin{aligned}& \text { D) } \sum_{j=1}^7 \frac{2}{j+2} \\& j=1 ; \frac{2}{1+2}=\frac{2}{3} \\& j=2 ; \frac{2}{2+2}=\frac{2}{4}=\frac{1}{2} \\& j=3 ; \frac{2}{3+2}=\frac{2}{5} \\& j=4 ; \frac{2}{4+2}=\frac{2}{6}=\frac{1}{3} \\& j=5 ; \frac{2}{5+2}=\frac{2}{7} \\& j=6 ; \frac{2}{6+2}=\frac{2}{8}=\frac{1}{4} . \\& j=7 ; \frac{2}{7+2}=\frac{2}{9} \\& \sum_{j=1}^7 \frac{2}{j+2}=\frac{2}{3}+\frac{1}{2}+\frac{2}{5}+\frac{1}{3}+\frac{2}{7}+\frac{1}{4}+\frac{2}{9} \\& =\frac{3349}{1260}\end{aligned}[/tex]
(b)
[tex]\begin{aligned}\frac{7}{2} \frac{8+0}{2} & =\frac{840}{1}+\frac{840}{2}+\frac{840}{3}+\frac{840}{4}+\frac{840}{5}+\frac{840}{6}+\frac{840}{7} \\& =840+420+280+210+168+140+120\end{aligned}[/tex]
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12 is no more of the product of a number w and 4
Answer:
Step-by-step explanation:
This statement is incorrect. 12 is a product of 3 and 4, or 12 = 3 * 4.
marty can go to one movie on either friday or saturday. he will be able to choose either comedy or an action movie. which list shows all possible outcomes of one move on one day?
There are the four possible combinations of day and movie genre that Marty can choose from.
OutcomesMarty has two options for the day of the week to go to the movie (Friday or Saturday) and two options for the movie genre (Comedy or Action).
Therefore, the list of all possible outcomes of one movie on one day is:
Friday ComedyFriday ActionSaturday ComedySaturday ActionThese are the four possible combinations of day and movie genre that Marty can choose from.
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A store pays $842.00foracrystalsculptureandmarksthepriceupby29%.Whatistheamountofthemark-up?
The amount of Mark-up of crystal sculpture is $ 244.18.
The purchased price for crystal sculpture that store pays is $842.00.
The store increase the percentage of price is by 29%.
So to find the amount of mark up price on crystal sculpture we have to find the value of increased percentage on purchased price ($842.00) of sculpture.
The 29% of $842.00 is = $ 842.00 * 29%
= $ 842.00 * 29/100
= $ 244.18
so the Mark-up amount of crystal sculpture is = $ 244.18.
The store has a make-up amount of $244.18 on the purchased amount of crystal sculpture which cost them $842.00.
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Un auto recorre 50 km desde el punto o al punto P con dirección al Este y
¿Como se expresa la posicion del punto P? es urgente es de números
positivos y negativos
Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.
What are the expressions of positive and negative numbers?Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.
These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).
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Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 6 meters and 9 meters.
The third side may be 6 or 9 metres long, or it may be between 9 and 15 miles long.
Depending on the lengths of the other two sides, the triangle's third side can have a variety of lengths. The third side's length could range from 9 to 15 metres if the first two sides are 6 and 9 miles, respectively. The reason for this is that the length of any two sides of a triangle must always be greater than the length of the third side; in this instance, the sum of the two sides is 15 metres, or 6 and 9 metres. As a result, the triangle's third side must be either less than or equal to 15 metres. A triangle can also have two equal sides, so the third side could also be equal to 6 or 9 metres. In conclusion, the third side of the triangle may be anywhere between 9 and 15 metres long, or it could be 6 or 9 metres long.
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PLS HELP ME This IS HARD
Find the value of cos
�
H rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
Cos0 = adj/hyp
cos0 = 40/41
find the inverse cos of that.
0 = cos^-1(40/41)
0 = 12.68
Linear equation (graph)
need answer
A graph of the linear function with its points is shown in the image attached below.
How to complete the table?In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = 0, the linear function is given by;
y - x = 4
y = x + 4
y = 0 + 4
y = 4
(x, y) = (0, 4).
When the value of x = 1, the linear function is given by;
y = x + 4
y = 1 + 4
y = 5
(x, y) = (1, 5).
When the value of x = 2, the linear function is given by;
y = x + 4
y = 2 + 4
y = 6
(x, y) = (2, 6).
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Find the value of the expression
j − 16.35
for j = 20.
Answer: 3.65
Step-by-step explanation:
j=20
Substitute: 20-16.35
20.00-16.35=
3.65
Answer:
3.65
Step-by-step explanation:
Looking at the equation j - 16.35, if we substitute j for 20, the new equation will look like this:
j - 16.3520 - 16.35 = 3.65Therefore, the value of the expression is 3.65 if we were to substitute j for 20.
suppose you live on the moon. how long is a day (i.e., from sunrise to sunrise)? group of answer choices about a month. about 18 years. a year. 24 hours. 23 hours and 56 minutes.
A day on the moon (from sunrise to sunrise) is approximately 29.5 Earth days or about 23 hours and 56 minutes.
How long a day on moon?A day on the moon, known as a "lunar day," lasts approximately 29.5 Earth days.
This means that it takes 29.5 Earth days for the moon to rotate once on its axis and complete one full rotation.
This is due to the fact that the moon rotates very slowly and takes a long time to complete one full rotation. It is also worth noting that a lunar day is also referred to as a "synodic month" and that a lunar day is longer than a solar day,
which is the time it takes for the sun to return to its highest point in the sky. The length of a solar day on the moon is about 23 hours and 56 minutes.
Thus, a day on moon (i.e., from sunrise to sunrise) is 3 hours and 56 minutes.
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A blog refers to a website that contains a personal journal. According to one analyst, over a several year period, the number of blogs in existence followed a certain pattern. The analyst estimated that there were about 60,000 blogs in the first year, 120,000 in the second year, and 240,000 inthe third
. If the analyst was correct, how many blogs were there in the 5th year?
Answer:
960,000
Step-by-step explanation:
Every year, the number of blogs doubled.
The first year:60,000
The Second year: 120,000
The third year: 240,000
The fourth year: 480,000
The fifth year: 960,000
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consider a standard deck of 52 cards. what is the probability of a card being black given it is a queen?
The probability of a card being black given it is a queen is P(A|B) = P(A ∩ B) / P(B) = (4/52) / (4/52) = 1. This means that if you draw a queen from a standard deck of 52 cards, it will be black with a probability of 100%.
The probability of a card being black given it is a queen can be determined using the formula P(A|B) = P(A ∩ B) / P(B). Where P(A) is the probability of a card being black and P(B) is the probability of a card being a queen.
To calculate this, we first need to calculate the probability of a card being a queen, which is 4/52 (there are 4 queens in a standard deck of 52 cards). The probability of a card being black is 26/52 (there are 26 black cards in a standard deck of 52 cards).
Using the formula, the probability of a card being black given it is a queen is P(A|B) = P(A ∩ B) / P(B) = (4/52) / (4/52) = 1. This means that if you draw a queen from a standard deck of 52 cards, it will be black with a probability of 100%.
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Find the next term in the series: 2, 5, 14, 41, x
express 5.05 as a mixed number in its simplest form.
Answer:
5 1/20
Step-by-step explanation:
5.05 = 5 + 0.05 = 5 + 1/20 = 5 1/20
Answer: 5 1/20
Step-by-step explanation:
Split it into 2 parts:
5+0.05
0.05=5/100
Simplify:
1/20
Overall, the answer is 5 1/20
Brainliest please! I would apperciate it.
REALLY EASYY!! IF YOU ANSWER THIS YOU GET BRAINLIEST BUT MUST BE CORRECT!
The selling price of each item when matched with the correct problem is :
$18. 85$ 10. 18$ 20. 39$ 207. 20$ 79. 00$ 51. 45How to find the selling price ?Cost of CD : 14 . 50. Mark up : 30 % :
= 14. 50 x ( 1 + 30 % )
= $ 18. 85
Original price of a book : $ 18. 50, discount 45 %:
= 18. 50 x ( 1 - 45 % )
= $ 10. 18
Original price of shorts : $ 19. 99 , Tax 2%:
= 19. 99 x ( 1 + 2 %)
= $ 20. 39
Cost of MP3 Player : $ 129. 50. Mark up : 60 % :
= 129. 50 x ( 1 + 60 % )
= $207. 20
Original price of Concert tickets : $ 100. 00, discount 21 %:
= 100 x ( 1 - 21 % )
= $ 79
Original price of x - box game: $ 49. 95 , tax 3 %:
= 49. 95 x ( 1 + 3 % )
= $ 51. 45
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An automat machine make good pieces with a probability 0,96. Wich are the chances that the two piece is wrong?
To calculate the probability of getting two bad pieces in a row, we multiply the probabilities of each individual bad piece that is 0.96 and 0.04
0.04 * 0.04 = 0.0016
So the chances of getting two bad pieces are 0.0016, or 0.16%. This means that out of 100 tries, you would expect to get two bad pieces in a row 0.16 times.
It's vital to remember that independent events, like obtaining two terrible pieces, have probabilities that are determined by multiplying the individual possibilities.
This is based on the idea of the multiplication rule of probability, which states that the likelihood of two unrelated events occurring simultaneously is the sum of the probabilities of each event occurring separately.
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Please help I’m so stuck
Answer:
(8x-7)<9
Use 1 to open the bracket
8x - 7 < 9
Add 7 to both sides
8x < 16
Divide both sides by 8
x < 2
if f(x) is the slope of a trail at a distance of x miles from the start of the trail, what does 9 7 f(x) dx represent? the elevation at x
The function f(x) is the sloping trail, it is the ratio of the change in the trail's height over the change in the trail's length.
It is the same as the rate of change of an evaluation of the trail, which is the derivative of a function that gives us the elevation. Thus, for a function F(x) that gives us the elevation, f(x)=F(x).
When we integrate a derivative, we can form a rate of change to total change. Thus integrating f(x) over an interval then the total change in elevation within that interval.
In this case, we will have to solve the integral:
[tex]\int\limits^9_7 {f(x)} \, dx[/tex]
The bounds of integration are 7 to 9, so this calculates the total change in elevation between 7 to 9, which is the total change in the elevation in the first seven miles of the trail.
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members of a lacrosse team raised $1581.75 to go to a tournament. they rented a bus for $968.50 and budgeted $55.75 per player for meals. write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Let pp be the number of players. We can write an equation to solve for the number of players.
1581.75 - 968.50 - (pp × 55.75) = 0
1581.75 - 968.50 - 55.75pp = 0
-55.75pp = -613.25
pp = 11
Therefore, the team can bring 11 players to the tournament. To find this, we subtracted the cost of the bus (968.50) and the cost of meals per player (55.75pp) from the total amount raised (1581.75).
We then divided both sides by -55.75 to solve for the number of players (pp) on the team.
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