Answer:
Depends on your GPA
Step-by-step explanation:
Solve for f. Show each step please . Circle your final answer. (4 points) 2d-5f=30
Answer:
d=15
Step-by-step explanation:
2d-5f=30
2d=30+5f
d=15
Area of triangle- please help :)
Answer:
\(\approx 45.1\:\mathrm{w/\: some \: MOE}\)
Step-by-step explanation:
The area of \(ABCD\) is comprised of two triangles, so we can find the area of both triangles and add them to get the total area of
Since the sum of the interior angles of a triangle add up to \(180^{\circ}\), we have:
\(\angle C=180-44-38=\fbox{$98^{\circ}$}\).
The Law of Sines is given as:
\(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\) for any triangle.
Therefore, we have the proportion:
\(\frac{\sin 98^{\circ}}{10}=\frac{\sin 44^{\circ}}{BC},\\BC=\frac{10\cdot \sin 44^{\circ}}{\sin 98^{\circ}},\\BC\approx 7.01\).
Now that we have two sides of a triangle and the angle between them, we can use \([\triangle]=\frac{1}{2}ab\sin C\) to find the area of \(\triangle CBD\):
\([CBD]=\frac{1}{2}\cdot 10\cdot 7.01 \cdot \sin 38^{\circ},\\\\\left [CBD]\right\approx 21.58\).
Since \(\triangle ABD\) is a right triangle, we can use basic trig rules for a right triangle to solve for the sides:
\(\sin 55^{\circ}=\frac{AB}{10},\\AB=10\sin 55^{\circ},\\AB\approx 8.19\),
\(\sin 35^{\circ}=\frac{AD}{10},\\AD=10\sin 35^{\circ},\\AD\approx 5.74\).
Therefore, the area of \(\triangle ABD\) is:
\(\frac{1}{2}\cdot 8.19\cdot 5.74\approx 23.49\).
The area of \(ABCD\) is then
\(21.58+23.49=45.07=\fbox{$45.1$}\).
\(\bigstar\) Note that intermediate results were rounded during this calculation. Therefore, there is a small margin of error when rounding to final answer to one decimal place. I recommend plugging in values for yourself using all equations I wrote above, then rounding only your final answer to one decimal place as requested by the problem.
Normal Distributions
According to the College Board, the probability that a student forgets to bring their ID with them when they take their SAT is 3%. A random sample of
500 students was selected. Let p-hat be the proportion of the sample which forgot their ID.
1. What is the mean of the sampling proportion?
2. What is the standard deviation of the sampling proportion?
(Round to the nearest thousandth. )
The mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have:
p = 0.03
n = 500 students
\(\rm {\hat p} - Normal\)
So the mean:
\(\rm \mu _\hat p \ = \ p \ = \ 0.03\)
For standard deviation:
\(\rm \sigma_p = \sqrt{\frac{pq}{m} }\)
q = 1 - p = 1 - 0.03 = 0.97
\(\rm \sigma_p = \sqrt{\frac{0.03\times 0.97}{500} }\)
\(\rm \sigma_p = 0.008\)
Thus, the mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.
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Determine the rate of change (slope) in the graph
Answer:
2
Step-by-step explanation:
Rise = 2
Run = 1
2/1 = 2
What is the solution to the following inequality
-8 < 4( 8 - 2x) ?
Answer:
X < 5, or 5 > X
Step-by-step explanation:
Open up the parenthesis on the left side
-8 < 32 - 8x
Isolate -8x
- 8 - 32 < -8x
We can rewrite the inequality to make it easier to solve
-8x > -8 - 32
-8x > -40
Now solve for X, keep in mind you must switch the inequality sign when dividing by negatives
x < 5
What is the quotient 3x2 4x 15 )/( x 3?
Answer:
What is the quotient (3x2 + 4x - 15) ÷ (x + 3)? Summary: The quotient of (3x2 + 4x - 15) ÷ (x + 3) is 3x - 5.
Step-by-step explanation:
The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
Answer:
THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)
2IW= 200
I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30
-W TO IW=200
(30-W)W=200
W2 + 30W=200---------------TRANSPOSE -w2
+30w
w2-30w +200 = 0------------------- USE FACTORING
(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO
W- 20=0 W-10 =0
W=20 W=10
THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I
Iw =200 Iw=200
I(20) =200 I(10)
I(20)/20= 200/20 I(10)/10
=200/10
I=10
SO the answer to the problem are: width = 20 then lenght =10 or width = 10 then lenght =20the teacher workroom has a small room used for the meetings that it shaped like a square . if one wall measures 8 feet what is the area of the floor of that meeting room
The area of the teacher workroom is 64 feet squared
The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?
Oy= 4x - 3
y=-4x + 3
Oy=-4x - 3
Answer:
y=-4x-3
Step-by-step explanation:
y=mx+b
y=b=-3 ( y intercept is when x=0, then y=b=-3)
y=-4x-3
Jen, Heather, and Bob are auditioning for the same role. Jen auditions 10 minutes before four, Heather auditions 30 minutes before Jen, and Bob auditions 5 minutes before four. Order the three by who will audition first..
The required order for the three according to the turn of the audition is Heather, Jen, and bob.
Given that,
Jen, Heather, and Bob are auditioning for the same role. Jen auditions 10 minutes before four, Heather auditions 30 minutes before Jen, and Bob auditions 5 minutes before four. Order the three by who will audition first.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let's order the timeline,
Jen's audition was 10 minutes before the 4, so the time is 3:50
Heather's audition was 30 minutes before so the time would be 3:20
Bob's audition was 5 minutes before the 4 so the time would be 3:55
So from the above calculation. the order of the audition is Heather, Jen, and bob.
Thus, the required order for the three according to the turn of the audition is Heather, Jen, and bob.
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A score that is 3 points lower than the sample mean has a z-score of z=-0.25, and a score of X= 44 has a z-score of -0.75. What is the sample mean? O a. M=48 b. M=56 c. M=51 d. M=53
The sample mean is c) M=51.
To find the sample mean, we can use the formula for z-score:
z = (X - M) / s
where:
In this case, we have two equations with two unknowns:
-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s
Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M
Simplifying gives us:
-0.25s = -3
Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M
Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M
Simplifying gives us:
9 = 44 - M
Finally, we can solve for M:
M = 44 - 9
M = 35
So the sample mean is 35.
However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.
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for which of these reasons would a nurse researcher choose to assign subjects randomly to groups in a study
A nurse researcher may choose to assign subjects randomly to groups in a study for various reasons.
Random assignment of subjects to groups is a fundamental technique in research design, particularly in experimental studies. Here are some reasons why a nurse researcher would choose to assign subjects randomly to groups:
1. Minimizing bias: Random assignment helps minimize selection bias by ensuring that each participant has an equal chance of being assigned to any group. This helps create comparable groups and reduces the influence of confounding variables.
2. Enhancing internal validity: Random assignment strengthens the internal validity of a study by increasing the likelihood that any observed differences between groups are due to the intervention or treatment being studied, rather than preexisting differences between individuals.
3. Facilitating statistical analysis: Random assignment allows for the use of inferential statistics, as it provides a basis for making generalizations and drawing conclusions about the population from the sample data.
4. Ensuring generalizability: Random assignment increases the generalizability or external validity of the findings, as it helps create groups that are representative of the target population, making it easier to apply the study's results to a broader context.
By employing random assignment, nurse researchers can enhance the rigor, reliability, and validity of their studies, thereby contributing to evidence-based practice and improving patient care.
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Diego is trying to find the value of X in 5 • x = 35. He draws his diagram but it’s not certain how to proceed. 1. Complete the tape diagram so represents the equation 5•x = 352. Find the value of x.Type the answer in the box belowX=__(Please use pictures or screenshots.
The tape diagram is:
Then we have that x times x equals to 35
What number multiplied 5 times is 35? The answer is 7
The answer to two is 7
We have the equation:
\(x\cdot5=35\)this means, that x is a number that multiplied by 5 is equal to 35. We can then divide both sides by 5:
\(x\cdot\frac{5}{5}=\frac{35}{5}\)By the multiplication table, we know that 5 *7 = 35. Thus:
\(x=7\)The answer is x = 7
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its solution set. 2x^2 - 8x + 5 = 0 2x^2 - 10x -3 = 0 2x^2 - 8x - 3 = 0 2x^2 - 9x - 1 = 0 2x^2 - 9x + 6 = 0 9+-sqrt33/4 arrowRight _ 4+-sqrt6/2 arrowRight _ 9+-sqrt89/4 arrowRight _ 4+-sqrt22/2 arrowRight _
Answer:
\(\boxed{ \frac{9\pm \sqrt{33}}{ 4}}\longrightarrow \boxed{2x^2-9x+6=0}\)
\(\boxed{\frac{4 \pm \sqrt{6}}{2} }\longrightarrow\boxed{ 2x^2-8x+5=0}\)
\(\boxed{ \frac{9 \pm \sqrt{89}}{ 4} }\longrightarrow \boxed{2x^2-9x-1=0 }\)
\(\boxed{ \frac{4 \pm \sqrt{22}}{ 2}}\longrightarrow \boxed{2x^2-8x-3=0}\)
Step-by-step explanation:
In order to solve for the solution set of a quadratic equation, we can use the quadratic formula:
\(\boxed{\bold{x = \frac{-b \pm\sqrt{b^2 - 4ac}}{2a}}}\)
where a, b, and c are the coefficients of the quadratic equation.
For 2x^2-8x+5=0
Comparing the above equation with ax^2+bx+c
In this case, the coefficients are:
a = 2
b = -8
c = 5
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(2)(5)}}{ 2*2}\)
\(x = \frac{8 \pm 2\sqrt{6}}{ 4}\)
\(x = 2*\frac{4 \pm \sqrt{6}}{ 4}\)
\(x = \frac{4 \pm \sqrt{6}}{2}\)
\(\hrulefill\)
For 2x^2-10x-3=0
Comparing the above equation with ax^2+bx+c
n this case, the coefficients are:
a = 2
b = -10
c = -3
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-10) \pm \sqrt{(-10)^2 - 4(2)(-3)}}{ 2*2}\)
\(x = \frac{10 \pm \sqrt{89}}{ 4}\)
\(\hrulefill\)
For 2x^2-8x-3=0
Comparing the above equation with ax^2+bx+c
n this case, the coefficients are:
a = 2
b = -8
c = -3
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(2)(-3)}}{ 2*2}\)
\(x = \frac{8 \pm 2\sqrt{22}}{ 4}\)
\(x = 2*\frac{4 \pm \sqrt{22}}{ 4}\)
\(x = \frac{4 \pm \sqrt{22}}{ 2}\)
\(\hrulefill\)For 2x^2-9x-1=0
Comparing the above equation with ax^2+bx+c
n this case, the coefficients are:
a = 2
b=-9
c = -1
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4(2)(-1)}}{ 2*2}\)
\(x = \frac{9 \pm \sqrt{89}}{ 4}\)
\(\hrulefill\)
For 2x^2-9x+6=0
n this case, the coefficients are:
a = 2
b = -9
c = -6
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4(2)(6)}}{ 2*2}\)
\(x = \frac{9\pm \sqrt{33}}{ 4}\)
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Answer:
\(9\sqrt{3}\) cm^2
Step-by-step explanation:
area of an equilateral triangle = \(\frac{s^{2} \sqrt{3} }{4}\) (s = length of the side)
area = \(\frac{6^{2}\sqrt{3} }{4}\)
area = \(\frac{36\sqrt{3} }{4}\)
area = \(9\sqrt{3}\) cm^2
What is the degree of the polynomial?
Answer:
7
Step-by-step explanation:
The highest power of the given polynomial is 7. Therefore, the degree of the given polynomial is 7.
Which linear equation could David use to determine y, the total distance he could swim without stopping to rest?
Answer:
I would say C
Step-by-step explanation:
because I think that 15 is the slope and the 35 is the y intercept. I could be wrong but that would be my guess
Add the polynomial. 2a+b-c-d and 4a-3b-2c+5d
Answer:
6a-2b-3c+4d
Step-by-step explanation:
2a+4a = 6a
b-3b = -2b
-c-2c = -3c
-d+5d = 4d
Answer:
6a - b - 3c + 4d
Step-by-step explanation:
⭐What is a polynomial?
if "poly" means "many" and "nomial" means "terms", then polynomial means "many terms"Whenever you add polynomials, the only terms you can perform addition or subtraction on are like terms.
⭐What are like terms?
terms with the same variable AND exponentWe are asked to add the two given polynomials. Therefore, we have to add the like terms.
\(2a + b - c - d + (4a - 3b - 2c + 5d)\)
a and a, b and b, c and c, and d and d all have the same variable with an exponent of 1.
When adding, make sure to utilize the correct addition rules.
⭐What are the rules for adding real numbers?
NEGATIVE + positive = NEGATIVEnegative + POSITIVE = POSITIVEPOSITIVE + POSITIVE = POSITIVENEGATIVE + NEGATIVE = NEGATIVE2a and 4a are positive. Therefore, 2a + 4a = 6a.
-3b is negative, but b is positive. -3b > b. Therefore, -3b + b = -2b.
-c and -2c are both negative. Therefore, -2c - c = -3c.
-d is negative, but 5d is positive. 5d > -d. Therefore, -d + 5d = 4d.
∴ \(2a + b - c - d + (4a - 3b - 2c + 5d) = 6a -b -3c + 4d\)
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Whenever the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable is _____ distributed. normally exponentially Poisson uniformly
When the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable is uniformly distributed.
In probability theory and statistics, a uniformly distributed random variable follows a uniform distribution. This distribution occurs when the probability of the random variable assuming a value is equal across a given interval, and the probability is proportional to the length of that interval.
In a uniform distribution, every value within the interval has an equal likelihood of occurring. The probability density function (PDF) of a continuous uniform distribution is a constant within the interval and zero outside of it. The cumulative distribution function (CDF) is a linear function that increases uniformly from 0 to 1 over the interval.
For example, if we have a random variable representing the time it takes for a car to pass through a traffic light, and the probability of the car taking any specific amount of time is proportional to that time interval's length, then the random variable follows a uniform distribution.
Therefore, when the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable is uniformly distributed.
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Work out the area of the parallelogram.
Not drawn
accurately
13 cm
799
21 cm
Answer:
273
Step-by-step explanation:
area of parallelogram = b × h
13 × 21
273 cm
i hope its help u ,
which function has the largest rate of change?
O Y = 2
X
1
6
3
12
5
18
y
15
y=
0
1
2.5
WN
3
1.5
y
3
Answer:
The second one.
Step-by-step explanation:
For first function y = 2x the rate of change = 2.
Second function: rate of change = (12-6)/(3-1) = 6/2 = 3
Third: it's -0.2.
Fourth: it's (2.5 -3)/ 1= -0.5.
Which Student is walking Faster E or F
Answer:
E
Step-by-step explanation:
the steeper the slope the faster the something
A producer of inkjet printers is planning to add a new line of printers, and you have been asked to balance the process, given the following task times and precedence relationships. Assume that cycle time is to be the minimum possible.
Task Length
(minutes) Immediate
Predecessor
a 0.2 -
b 0.4 a
c 0.3 -
d 1.3 b, c
e 0.1 -
f 0.8 e
g 0.3 d, f
h 1.2 g
The maximum cycle time is 4.6 minutes.
The rate of output in a 420 minutes workday is 323 units
The daily output is 182 units
What is a Cycle Time?Cycle time is a software statistic used in software engineering to gauge the speed of development in agile software projects. When processing a job, whether it be a client request, an order, or a specific production process stage, the cycle time measures how long it takes.
How to find the idle time %
Idle time/task time * number of WS = 0.6/1.3 * 4 = 0.1154
Multiply by 100
= 11.54%.
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Describe four common ways in which individuals respond to perceived inequity. provide an example of each.
Describe four common ways in which individuals respond to perceived inequity are -
People work hard to achieve and maintain equity.If perceive inequity, it causes conflict, which motivates them to reduce or eliminate it.The more severe the degree of inequity, the more motivated people are to decrease or eliminate a certain tension.Unfavorable inequity is more easily perceived than favorable inequity.What is equity?Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.
Some key features regarding the equity are-
Equity is the value which would be returned to a company's shareholders if all assets have been liquidated and all debts were paid off.Equity can also be defined as the amount of leftover ownership in an organization or asset remaining after deducting all debts affiliated with that asset.On a company's balance sheet, equity represents the shareholders' stake in the company.Equity is calculated as a firm's revenue assets less total liabilities, and it is included in several important financial ratios like ROE.Home equity is another way to define equity. It is the value of an owner's estate (net of debt).To know more about the equity, here
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a thrift shop kept a record of how much it spent on cds every year starting in 2008 which statement best describes the information given in the scatterplot
The cost of CDs has been decreasing for the past five years. The correct option is A.
What is regression analysis?Regression analysis is a group of statistical procedures used in statistical modeling to determine the relationships between a dependent variable and one or more independent variables.
A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data. It uses Cartesian coordinates. When the points are coded, a further variable can be seen.
In the given scatter plot it is observed that the vertical line is represented by the amount of the CDs and the horizontal line is represented by years.
The amount of CDs is decreasing with time on yearly basis therefore, the cost of CDs has been decreasing for the past five years.
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find the distance between the two points rounding to the nearest 10th! PLS HELP ASAP!!!!
Answer:
8.5
Step-by-step explanation:
d = √[(-7+1)²+(-1-5)²]
= √[(-6)²+(-6)²]
=√(36+36)
=√72
= 8.5
Answer:
8.5
Step-by-step explanation:
we can plug those coordinates into the distance formula
d = √(x2 - x1)2 + (y2 - y1)2
d= √((-7)-(-1)^2+((-1)-(5)^2
d = √36+36
d=√72 = 8.48 or 8.5
Is Figure B a scale copy of Figure A?
8
LA
13
2.
1
6
Figure A
3
Figure B
Scientists use a temperature unit called the kelvin. For example, the boiling
point of water at sea level occurs at 373.16 kelvins, written 373.16 K. The
formula K=5/9(F + 459.67), where K is the temperature in kelvins and F is the
temperature in degrees Fahrenheit, can be used to convert Fahrenheit
temperatures to kelvins.
Answer: F = 9/5K - 459.67
what is the y-intercept
Answer:
(0,6)
Step-by-step explanation:
The y intercept is where the line crosses the y axis or the coordinate where x = 0.
Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)
I need help on how to solve this type of question
Answer:
<X = 36
<Y = 72
<W = 108
<Z = 144
Step-by-step explanation:
Since this shape is a quadrilateral, all angles add up to 360
x + 3x + 4x + 2x = 360
10x = 360
x = 36
<X: x
36
<W: 3x
3(36) = 108
<Y: 2x
2(36) = 72
<Z: 4x
4(36) = 144