The given information is:
26.4% of all registered doctors were female
There were 59,600 female registered doctors (this is 26.4% of the total registered doctors).
Then to know what was the total number of registered doctors:
\(59600\times\frac{100\text{ \%}}{26.4\text{ \%}}=225758\)Answer: There were 225,758 total registered doctors that year.
find the line of best fit for the set of data
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $3900, making Digitalis a profit of $547. Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective. (If necessary, consult a list of formulas.)
If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?
To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective.
a. Digitalis can expect to make money from selling these processors.
b. In the long run, they should expect to make ? dollars on each processor sold.
c. Digitalis can expect to lose money from selling these processors.
d. In the long run, they should expect to lose ? dollars on each processor sold.
e. Digitalis should expect to neither make nor lose money from selling these processors.
Answer:
a. Digitalis can expect to make money from selling these processors.
A profit of $118
Step-by-step explanation:
Chance of processor being defective = 11%
Chance that processor isn't defective = 89%
Sales price of processor = $3900
Profit made = $547
Full refund is given for a defective processor ; this means loss of manufacturing or production cost : Sale price - Profit ; $3900 - $547 = $3353
89% of profit - 11% of production cost
0.89*547 - 0.11 * 3353
486.83 - 368.83
= $118
This means a profit of $118
Write the percent as decimal 57.93%
The question says we should write 57.93% as a decimal.
first let's know what it means to write a number in decimal.
In writing or converting a number into a decimal is looing for the value of that number per hundred.
That is, 57.93 percent means 57.93 per hundred.
Therefore, to get the 57.93% as a decimal, all you have to do is divide 57.93 by 100
= 57.93
100
= 0.5793
Therefore, 57.93% as a decimal is 0.5793
Use the graph to evaluate the function for the given input value.
f(−1) =
f(1) =
The evaluation of the function for the given f(-1), f(1) input value is mathematically given as
f(-1) = -8f(1) = -12What is the evaluation of the function for the given f(-1), f(1) input value?In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain. Historically, functions have been seen as an idealization of the way in which one variable relies on another variable.
-1 and 1 are both considered to be input when evaluating the function f, which is represented by the graph.
Since the inputs are on the x-axis, the graph demonstrates that the value of the function f at -1 is about -8 when x equals -1.
When x equals 1, the value of the function f is close to -12.
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Does standard deviation means independent events
Standard deviation does not mean independent events.
Does standard deviation means independent events?No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.
Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.
Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.
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what is differnciation
Answer:
Differentiation is concerned with things like speeds and accelerations, slopes and curves ect. These are Rates of Change, they are things that are defined locally. The Fundamental Theorem of Calculus is that Integration and Differentiation are the inverse of each other.
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
If 10 club members each collect the same number of canned goods, which inequality and graph represent the minimum number of canned goods, n, each club member must collect for the club to meet the goal? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)
A. 10n+30<500
B. 10n+30≥500
C. 30n+10≤500
D. 30n+10>500
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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What is the effective annual rate of an account that pays interest at the nominal rate of
7% per year, compounded daily? Compounded hourly?
Answer:
To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:
EAR = (1 + r/n)^n - 1
where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.
For daily compounding, n = 365 (since there are 365 days in a year), so we have:
EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%
To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:
EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%
Therefore, the effective annual rate for hourly compounding is approximately 7.27%.
3 n - 5 p + 2 n = 10 p for n
Answer:
What do you mean
Step-by-step explanation:
What is the sin B?
/21
B
5
2
sin (B) =
[?]
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
PLEASE HELP ME SOMEONE!!!
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Please help me with this
Answer:
trophospe we it's where planes and aircraft fly
Answer:
Troposphere
Step-by-step explanation:
The graph below shows the number of free throws made by five players on a basketball team.
Weekly Free Throw Numbers for Players
#Free Throws
10+
99876543N
Player 1 Player 2 Player 3 Player 4 Player 5
Week 1 Week 2 Week 3
What was the total number of free throws made for Player 2?
24
17
23
8
Total number of free throws made for player 2 are 23 using histogram.
Define histogram.A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.
Given,
Histogram given,
Total number of free throws made for player 2 are:
8 + 9 + 6
23
Total number of free throws made for player 2 are 23 using histogram.
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Classify the polynomial by degree and number of terms: 3x ^ 4 - 3x ^ 2 - 7x
Cubic Binomial
Quintic Trinomial
Cubic Trinomial
Quartic Trinomial
The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.
The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.
Here's the breakdown of the classification:
Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).
Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.
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Answer:Quartic trinomial
Step-by-step explanation:
Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.
what is the measurement of a flat angle
One way to determine whether a number is prime or composite is by creating a factor table.
Complete the factor table and the sentences below about the number 18.
The conclusion from the factor table of 18 is that, 18 is not a prime number i.e. it is composite
How to determine the factor table?From the question, the number is given as
Number = 18
The factors of 18 are represented as
Factors of 18 = 1, 2, 3, 6, 9 and 18
When these factors are picked in pairs, we have the following representations
Factors pairs of 18 = (1, 18), (2, 9), (3, 6)
Next, we represent the factors on a factor table
So, we have
Factors Factor pairs Prime factorization
1, 2, 3, (1, 18) 2 x 3²
6, 9 and (2, 9)
18 (3, 6)
Because the number 18 has factors other than 1 and 18, then the number 18 is a composite number
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A box of jerseys for a pick-up game of basketball contains 10
extra-large jerseys, 7
large jerseys, and 4
medium jerseys. If you are first to the box and grab 2
jerseys, what is the probability that you randomly grab 2
large jerseys? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability of randomly grabbing 2 large jerseys is 1/10 or 0.1.
What is probability?Probability is a way to gauge how likely something is to happen. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty. An occurrence is more likely to occur the higher its probability. Many variables, such as the number of potential possibilities, the chance of each possibility, and the existence of additional events or conditions that affect the outcome, can have an impact on an event's probability.
Given that, the box contains 10 extra-large jerseys, 7 large jerseys, and 4 medium jerseys.
Thus, total jerseys = 10 + 7 + 4 = 21.
The number of selecting 2 jerseys from a total from total jerseys = 21 choose 2
= 21! / 2! (19!) = 210
The number of ways to select 2 large jerseys from the box is (7 choose 2) = 7!/2! (5!) = 21
Probability = 21/210 = 1/10 = 0.1
Hence, the probability of randomly grabbing 2 large jerseys is 1/10 or 0.1.
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Help with proving the following
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
First step
⇒ consider the fact cotθ = 1 / (tanθ)
\(\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }\)
Second step
⇒ form a common denominator for the fraction in the 'denominator'
\(\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }\)
Let's flip over the fraction on the denominator
\(\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx\)
And there you go, you have proved the statement by following these steps!
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
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The solid glass award that Jillian was given has a total height of 15 inches as shown.
A rectangular pyramid with a base of 6 inches by 4 inches and a height of 15 inches. A rectangular prism with a length of 6 inches, width of 4 inches, and height of 2 inches.
What is the total volume of glass used to make the award?
A) 120 inches cubed
B) 152 inches cubed
C) 168 inches cubed
D) 204 inches cubed
Answer:
the answer is a
Step-by-step explanation:
Can i please have brainliest. I really need it
Thanks
Answer:
120 ich or A
Step-by-step explanation:
graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
Solve for x -6x+14<-28 AND 3x+28<=25
Answer:
-6x+14<-28
x = x > 7
3x+28<=25
x = x less than or equal to -1
Step-by-step explanation:
Find the measure of 5
The measure of the angle ∠5 in the parallel line is 98 degrees.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles, linear angles, same side interior angles etc.
Therefore, lets' find the angle 5 in the parallel lines as follows:
Hence,
∠5 = 180 - 82(same side interior angles)
∠5 = 98 degrees
Same side interior angles are supplementary.
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Pls help I’ll brainlest
In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (b) What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001
How to find the pobability that a subject would guess more than 20 correct in a series of 36 trialsIn a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.
Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.
The probability of guessing more than 20 correct is:
P(X > 20) = 1 - P(X ≤ 20)
Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).
Therefore: P(X > 20) = 1 - 0.9999 = 0.0001
So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).
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Becky's dinner would have cost $30 but she had a 40% off coupon. How much did Bedky pay for dinner?
Answer:
If Becky had a 40% off coupon, that means she saved 40/100 = 0.4 of the original price.
To find how much she paid for dinner, we can multiply the original price by the percentage of the price that she paid:
30 * (1- 0.4) =30*0.6 = $18
Becky paid $18 for her dinner.
find the Sequence and series
(a) The sequence formed by the given numbers is: 40, 24, 56, 16, 36, 72, 8, 48, 32.
(b) The sum of the given arithmetic series is 324.
What is the sequence of the numbers?
Based on the given table, we can observe the following pattern:
Each entry in the first row is obtained by multiplying the corresponding entry in the third row by 2.Each entry in the second row is obtained by adding the corresponding entries in the first and third rows and then dividing the sum by 2.Using these patterns, we can fill in the missing entry in the second row as follows:
Entry in the second row = (Entry in the first row + Entry in the third row) / 2Entry in the second row = (56 + 16) / 2Entry in the second row = 36So, the completed table looks like this:
40 | 24 | 56 |
16 | 36 | 72 |
8 | 48 | 32 |
The sum of the series is calculated as;
S = n/2(a + l)
Using this formula, we can find the sum of the given arithmetic series. Since there are 9 terms in the series, and the first term is 40, and the last term is 32, we have:
S = 9/2 x (40 + 32)
S = 9/2 x 72
S = 324
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