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You start with $285 in your account and withdraw $15 a week. Write a linear
function for this situation.
Answer:
y = 285 - 15x
Step-by-step explanation:
How long is a line of 1 million centimeter cubes be?
Answer:
1m cm
10m mm
Step-by-step explanation:
A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users. Draw a probability tree diagram for the given problem.
What is the probability that a player does not use steroids, given that the person had a positive reading on the test? Round your answer to four decimal places.
Answer:
P(no steroid user / positive reading on test) = 0.3309
Step-by-step explanation:
Computation:
Bayes' Theorem:
P(A / B) = P(A and B) / P(B)
P(no steroid user / positive reading on test) = P(no steroid user and positive) / P(positive)
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
P(no steroid user / positive reading on test) = 0.3309
The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Calculation of the probability:Since A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users.
So, here the probability should be
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
= 0.3309
Hence, The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
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A point with a coordianates plane (-c -d) is shown on the coordinate grid
Ans The answer to the question is ###404 bad gateway Step-by-step explanation:
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
The recommended dosage of a drug for pediatric patients is 200 mg per kilogram of a patient's weight. If Janine weighs 102 lb, how much of the drug should she receive? Use the fact that 1 lb = 0.45 kg
Janine should receive about ____ milligrams of the drug.
(Round to the nearest milligram as needed.)
Answer: 9180 mg
Step-by-step explanation:
First we must convert the patients weight from lb to kg.
102lb x \(\frac{0.45kg}{1lb}\) = 102 x 0.45 kg = 45.9 kg
Now to calculate the amount of the drug she should receive.
45.9 kg x \(\frac{200mg}{kg}\) = 9180 mg
consider the following method. public int pick(boolean test, int x, int y) { if (test) return x; else return y; }
If P is the minimum number of tests to achieve full statement coverage for f(x) and Q is the minimum number of tests to achieve full branch coverage for f(x), then (P,Q) =(3, 4)
Branch coverage: During program testing, every branch in a statement must be run at least once.
Coverage of the statement:
This means that during testing, every statement in the computer code must be run at least once.
All of the statements must be executed in order to obtain complete statement coverage.
Statement coverage is calculated as (statement executions divided by total statement executions).
To obtain complete statement coverage in the code above, two test cases are necessary.
Case 1: If the if condition is satisfied,
{
int res=0;
if(m<0) {res=n-m;}
return res;
}
These commands will be carried out.
Case 2: All remaining statements will also be put into effect when the other two cases of else do. Full statement coverage is attained after three tests.
Branch coverage: It includes both true and false situations and is decision-based.
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find the value of x
90
90
64
X
Answer:
244
Step-by-step explanation:
I assume this asks 90+90+64 = ?
So, you can put it all in a calculator and get 244
If you have any questions or I have interpretated the question wrong, feel free to comment! :D
What is the slope of the function?
An arc
of length 22cm and radius 7cm substands
an angle sin at the centre of a circle. what is
the value of sin? [Take t = 22/7]
Answer:
t = UR MOM!!!
Step-by-step explanation:
1. haha
2. haha
3. haha
4. haha
will mar brainleist if correct and do not guess
Answer: x = 19
These two angles are equal to each other.
so 135 = (7x+2), and now solve for x.
135 = 7x +2
133 = 7x
Divide both sides by 7.
133/7 = 7x
19 = x
Check to see if it's correct
7x+2 = 135
7(19) + 2 = 135
133 + 2 = 135
135 = 135
Pls answer question with explanation I will give u branliest if u help (find area of the triangle)
Answer:
1. 90
4. 468
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.
Please awnser asap I will brainlist
The element of A n B is { 7, 8}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.
For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.
The sign 'n' means intersection and this means what is common to two or more set.
If set A = { 1,2,5,7,8}
set B = { 6,7,8,9}
then we can see that 7 and 8 are common to both sides, then
A n B = { 7,8}
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I need help figuring this out- ASAP. pls
t is the total increase of the followers made up --> t = '____'
3 followers for every 'h' (hashtag)--> '3h' is the increase of followers for every hastag
5 followers for every 'i' (influencer)--> '5i' is the increase of followers for every influence
Now lets put it together
t = 3h + 5i ; fourth choice
Hope it helps!
Please help ASAP!!! Christine found a sweater at Nordstrom that was priced at $72.00. She noticed there was a sign that said "All sweaters are 20% off today. How much was the sweater before tax?
a
$57.60
b
$96.40
c
$70.56
d
$56.70
Answer:
57.60
Step-by-step explanation:
72/100=0.72, 0.72x80=57.60
Test Scores in Relation to Homework Hours of Homework (a) Is the relationship linear or not linear? Justify your response. (b) Is the relationship increasing or decreasing? (c) What is the domain and range of the data set? (d) Draw a line of best fit, and find the slope of that line.
The relationship is linear
It is an increasing functionThe slope is approximately 8Part (a) and (b): The relationship typeThe complete question and the line of best fit are added as an attachemnt
From the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values decreases
This represents a decreasing linear association.
The domain and the rangeFrom the graph, we can see that the x and the y values are positive
So, the domain is x > 0 and the range is y > 0
The line of best fitSee attachment for the line of best fit
Using the points on the line, we have
Slope ≈ (30 - 70)/(0 - 5)
Slope ≈ 8
Hence, the slope is approximately 8
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12 divided by 5 in a fraction
Solve the inequality: 3 < -5X+2X
Answer:
Inequality Form:
X< −1
Interval Notation:
(−∞,−1)
Step-by-step explanation:
Answer:
\(x < -1\)
Step-by-step explanation:
First you need to combine the like terms -5x and 2x to get \(3 < -3x\)
Then, you need to devide both sides by -3 to get \(-1 < x\) , but because the factor is negative, we flip the relation to get \(x < -1\)
Consider a message signal m(t) with the spectrum shown in the following Figure. The message signal bandwidth W=1KHz, This signal is applied to a product modulator, together with a carrier Accos(2πfc t)wave producing the DSB-SC modulated wave S(t). This modulated wave is next applied to a coherent detector. Assuming perfect synchronism between the carrier waves in the modulator and detector, determine the spectrum of the detector output when: (a) The carrier frequency fc=1.25 KHz. And (b) The carrier frequency fc=0.75 KHz. What is the lowest carrier frequency for which each component of the modulated wave S(t) is uniquely determined by m(t)?
The lowest carrier frequency at which each modulated wave S(t) component may be uniquely defined by m(t) is
Fc,Fc+w,Fc-w =>1.5k,2.5k,0.5kHz
-Fc,-Fc+w,-Fc-w =>-1.5k,-0.5k,-2.5kHz
"-w,w -1kHz,1kHz" are the frequency components of the detector output in this case.
Fc,Fc+w,fc-w =>0.75k,1.75k,-0.25kHz
-Fc,-Fc+w,-Fc-w =>-0.75k,0.25k,-1.75kHz
This is further explained below.
What is the lowest carrier frequency for which each component of the modulated wave S(t) is uniquely determined by m(t)?For a modulated wave with frequency components, the equation looks like this:
Fc,Fc+w,Fc-w =>1.5k,2.5k,0.5kHz
-Fc,-Fc+w,-Fc-w =>-1.5k,-0.5k,-2.5kHz
"-w,w -1kHz,1kHz" are the frequency components of the detector output in this case.
b)
In conclusion, we may state that the modulated wave has frequency components as well.
Fc,Fc+w,fc-w =>0.75k,1.75k,-0.25kHz
-Fc,-Fc+w,-Fc-w =>-0.75k,0.25k,-1.75kHz
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this research seeks to identify, describe and produce an analysis of the factors that influence the learning choices of first- year undergraduate students who intend to go on to postgraduate study when they graduate, and develop associated theory.
The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.
What is factor?Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.
The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.
The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.
In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.
Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.
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2) What type of equation is compound interest formula?
a)logarithmic
b)polynomial
c)exponential
d)linear
e) none of the choices
A compound interest formula is a type of exponential equation. That is option C
What are exponential equations?Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.
The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.
Therefore, a compound interest formula is a type of exponential equation.
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For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours
Type the next number in this sequence:
6, 14, 32, 60, 98, 146, 204,
Answer: 272 I believe
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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2x + 2 = 5x -8 simplify
PLZZZZZZZZZZ HELP!!!!!!!!
Answer:
b
Step-by-step explanation:
cause a negative number is to the left of zero and a positive to the right
Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Please help me with my geometry
How many cubes with side lengths of 1/2 cm does it take to fill the prism?
_______cubes
Answer:
Number of cube fit in prism = 24 cubes
Step-by-step explanation:
Given:
Side of cuboid = 1cm , 2cm , 2 1/2
Find:
Number of cube fit in prism
Computation:
Number of cube fit in prism = Volume of prism / Volume of cube
Number of cube fit in prism = (1)(2)(3/2) / (1/2)³
Number of cube fit in prism = 24 cubes
Answer:40 cubes
Step-by-step explanation: i did it on khan academy :D