The probability that he or she actually used steroids is 0.779.
The test is accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an athlete hasn't taken steroids. Suppose that the drug test will be used in a population of athletes in which 10% have actually taken steroids. Let's choose an athlete at random and administer the drug test.
Based on prior knowledge of conditions that might be related to the event, Bayes' theorem, which is named after Thomas Bayes and is used in probability theory and statistics, describes the probability of an event.
Using Baye's theorem:
P(steroids | positive) = P(steroids)*P(positive|steroids) / P(positive) = (0.10*0.95)/0.122 = 0.779
If the selected athlete passes the test, the probability that they used steroids: 0.779
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(complete question)
A company has developed a drug test to detect steroid use by athletes. The test is accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an athlete hasn’t taken steroids. Suppose that the drug test will be used in a population of athletes in which 10% have taken steroids. Let’s choose an athlete at random and administer the drug test.
Suppose that the chosen athlete tests positive. What’s the probability that he or she used steroids?
Henry rolls a fair dice 24 times. How many times would Henry expect to roll a five?
Answer:
4
Step-by-step explanation:
if there are 6 numbers on the dice and he rolls it 24 times all you have to do is 24/6 and you get that he is expect to get a 5 4 times
Answer:
4
Step-by-step explanation:
got the answer Hegarty maths
resultado de la conversion
2.5 km a m
Answer:
Step-by-step explanation:
2.5 kilometre = 2500 Meter
Formula:
multiply the length value by 1000
(hope this helps can i plz have brainlist :D hehe)
Translated:
2.5 kilómetros = 2500 Metro
Fórmula:
multiplica el valor de la longitud por 1000
(Espero que esto ayude, ¿puedo tener una lista de ideas: D jeje?)
A problem states: "there are 2 more horses than cows in a field. there are 16 animals in the field in all. how many horses are there in the field?" let c represent the number of cows. which equation represents the situation? 2(c 2)=16 2 left parenthesis c plus 2 right parenthesis equals 16 2c 2 = 16 2, c, 2 = 16 2c−2=16 2 c minus 2 equals 16 c 2 = 16
The equation that represents the given situation of horses and cows will be 2c + 2 = 16.
We have,
A statement that there are 2 more horses than cows in a field.
And,
Total animals in the field = 16,
So,
According to the question,
Let,
Number of cows = c, and Number of horses = h,
So,
As mentioned in the statement above,
We get,
Number of horses = 2 + Number of cows,
i.e.
h = 2 + c ..... (i)
And,
Total animals in the field = 16,
i.e.
h + c = 16 ..... (ii),
Now,
From equation (i), taking value of h and putting in equation (ii),
We get,
2 + c + c = 16
i.e.
2 + 2c = 16,
So,
The equation that represents the given situation is 2 + 2c = 16.
Hence we can say that the equation that represents the given situation of horses and cows will be 2c + 2 = 16.
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Which of these statements about multiple regression is best?
A) The p-value for the F-test may not be interpreted the same with multiple regression models as they are with simple linear models.
B) The multiple regression model includes several dependent variables.
C) The multiple regression model includes several intercept terms.
D) The multiple regression model includes multiple slope coefficients.
The number 1729 is the smallest number that can be expressed as the sum of two cubes in two different ways as 1729 = 12^3 + 1^3 = 10^3 + 9^3. Find two other numbers with the same property. Express them as the sum of two cubes.
Answer:
4104 and 13832
Step-by-step explanation:
This type of number is known as the Hardy-Ramanujan Number.
We have that 1729 is the first number where this is found, but there are others. The second number that meets this is:
4104
2 ^ 3 + 16 ^ 3 = 9 ^ 3 + 15 ^ 3
And we also have:
13832
18 ^ 3 + 20 ^ 3 = 2 ^ 3 + 24 ^ 3
That is to say, the numbers 4104 and 13832 comply with this property
Simplify (4s^5t^-7/-2s^-2t^4). Write your answer using only positive exponents. Evaluate any numerical powers.
I'LL NAME YOU BRAINLIEST
please help!!
In positive exponents, the simplified form of the above polynomial is s⁷/t¹¹.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here,
=4s⁵*t⁻⁷/-2s⁻²*-2t⁴
=s⁷/t¹¹
The simplified form of given polynomial is s⁷/t¹¹ in positive exponents.
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Which set of ordered pairs is not a function? Justify your reasoning.
(1) {(3,1), (2,1), (1,2), (3,2)}
(2) {(4,1), (5,1), (6,1), (7,1)}
(3) {(1,2), (3,4), (4,5), (5,6)}
(4) {(0,0), (1,1), (2,2), (3,3)}
The set of ordered pairs that does not represent a function is the first one.
{(3,1), (2,1), (1,2), (3,2)}
Which set of ordered pairs is not a function?Remember that a function is a relation where each input is mapped into only one output.
So any set where you can see an input (the first value of the ordered pair) appears twice and is mapped into different outputs, then the set does not represent a function.
The first set of ordered pairs:
{(3,1), (2,1), (1,2), (3,2)}
Notice that the input x = 3 is mapped into two different outputs y = 1, and y = 2.
Then it is not a function.
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the angle of elevation from a rowboat moored 75 feet from a cliff is 73.8 degrees.find the height of the cliff to the nearest foot.
The height of the cliff is approximately 269 feet.
We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.
The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).
To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.
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Solve 5x+3=3x+11
Please can someone answer this.
9.3x 10^7 in standard notation
Answer: 93,000,000
Plz mark brainliest:)
What is the value of x in this equation? Enter your answer in the box.
(2.4 × 103) × (3 × 10x) = 7.2 × 109
Answer: Answer Bellow
Step-by-step explanation: To check yourself, multiply 6.0 x 105 times 4.0 x 103 on your calculator. Your answer should be 2.4 x ...
The value of 'x' in the given equation is 0.1058 and this can be determined by using the arithmetic operations.
Given :
Equation -- (2.4 × 103) × (3 × 10x) = 7.2 × 109
The following steps can be used in order to determine the value of x in the given equation:
Step 1 - The arithmetic operations can be used in order to determine the value of x in the given equation.
Step 2 - Write the given equation.
(2.4 × 103) × (3 × 10x) = 7.2 × 109
Step 3 - Simplify the above equation.
(247.2) \(\times\) (30x) = 784.8
Step 4 - Further simplify the above expression in order to determine the value of 'x'.
7416x = 784.8
x = 0.1058
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People living in Boston are hospitalized about 1.5 times as often as those living in New Haven, yet their health outcomes, based on age-specific mortality rates, appear to be identical. Does this mean that hospital care has no ability to improve health
Health outcomes based on age-specific mortality rates seem identical among people living in Boston and those living in New Haven, even though those living in Boston are hospitalized about 1.5 times more often than those living in New Haven.
It may seem that hospital care has no ability to improve health based on the information given. However, a few possible explanations might help explain the data.First, it is important to note that hospitalization rates might be an imperfect proxy for health outcomes. People living in Boston might have more access to healthcare or preventive measures than those living in New Haven.
Thus, despite having higher hospitalization rates, people living in Boston might actually be healthier than those living in New Haven.
Therefore, their similar age-specific mortality rates might reflect this.Second, the quality of healthcare might differ between Boston and New Haven. Although hospital care has the potential to improve health, differences in the quality of healthcare might explain the lack of differences in age-specific mortality rates. People living in Boston might receive lower-quality healthcare than those living in New Haven. If this were the case, it might offset any benefits from being hospitalized more frequently.
Finally, it is possible that hospital care does not have a significant impact on health outcomes. For example, hospitalization might only provide short-term relief but not have a meaningful impact on long-term health outcomes. Alternatively, hospitalization might be associated with negative health outcomes, such as complications from surgery or infections acquired in the hospital.
In either case, the hospitalization rate might not be a good indicator of the impact of healthcare on health outcomes.In conclusion, the similar age-specific mortality rates among people living in Boston and New Haven, despite differences in hospitalization rates, might reflect a variety of factors. While hospital care has the potential to improve health, differences in healthcare access, healthcare quality, or the impact of hospitalization on health outcomes might explain the observed data.
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tell whether the following is geometric or not, if geometric find r
—
hi can someone please answer my question. thank you ❤️
Answer:
Yes, \(r=1/3\)Step-by-step explanation:
This is a GP as :
\(t_2/t_1=t_3/t_2=t_4/t_3=r\)\(45/135=15/45=5/15=r=1/3\)Insert parentheses to make the equation true 5-3-1+6^2=50
The equation is true when putting parentheses. The equation becomes:
(5 - 3)(-1 + 6)² = 50.
What is an equation?
In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
The given equation is 5 - 3 - 1 + 6² = 50.
Here we need two parentheses.
Since 50 can be written as 50 = 25 × 2 = 5² × 2
Now 2 can be written as (5-3) and 5 can be written as (-1+6).
Now put the parentheses:
(5 - 3)(- 1 + 6)²
= 50
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HELP ASAP, right answers
Hey~
Possibly C.
It makes the most sense.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
B
Step-by-step explanation:
Hope this helps!
I aredy know it but can ya put it and see if I’m right plz :>
What does the y-intercept represent in the graph below?
What is the slope of the line below? *
(0.6)
(-30)
Answer:
2
Step-by-step explanation:
just the linked questions, thanks . 8.4 similar triangles unit 8 practice a
The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;
8. \(\overline {ST}\) is parallel to \(\overline{PR}\)
9. \(\overline{ST}\) is parallel to \(\overline{PR}\)
10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)
11. x = 57.6
12. x = 25.8
13. x = 11
14. x = 10
15. x = 5
16. x = 17
What is Thales theorem?Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.
8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625
Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)
9. The ratio of the sides the parallel side to the base divides the other two sides are;
33/41.8 = 15/19
45/(102 - 45) = 45/57 = 15/19
Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)
10. The ratio of the sides the segment \(\overline{ST}\) bisects the other two sides are;
24/57 and 19/38
24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)
Second part; To solve for x
11. x/30 = 48/25
x = (48/25) × 30 = 57.6
x = 57.6
12. x/34.4 = (49 - 28)/28
x = 34.4 × (49 - 28)/28 = 25.8
x = 25.8
13. (2·x + 6)/52.5 = 32/60
(2·x + 6) = 52.5 × (32/60)
x = (52.5 × (32/60)) - 6)/2 = 11
x = 11
14. (x - 3)/21 = (x - 1)/27
27·x - 27 × 3 = 21·x - 21
27·x - 81 = 21·x - 21
6·x = 60
x = 60 ÷ 6 = 10
x = 10
15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)
15/20 = (4·x - 2)/(7·x - 11)
15 × (7·x - 11) = 20 × (4·x - 2)
105·x - 165 = 80·x - 40
105·x - 80·x = 165 - 40 = 125
25·x = 125
x = 125/25 = 5
x = 5
16. (x - 3)/35 = 4/(x - 7)
(x - 3) × (x - 7) = 35 × 4 = 140
x² - 10·x + 21 = 140
x² - 10·x - 119 = 0
(x - 17) × (x + 7) = 0
x = 17 or x = -7
Therefore, the possible value of x is 17
x = 17
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1. The scale model of a building is 16 in. tall. The scale of the model
is 1 in. = 50 ft. What is the actual height of the building?
a. 800 ft
b. 750 ft
C. 65 ft
d. 100 ft
2. Matt drew a floor plan of his bedroom using a scale of 1.5
What is the domain of F? Will mark brainiest
Answer:
A
Step-by-step explanation:
the dots are at -5 an 6.
the dots are closed meaning that they are equal to. -5 is less than 6 and 6 is greater than -5. so the answer should be A
PLEASE HELP ME!!
find the Trinomial!
Answer:
\(a^{4}-2a^{2} -24\)
Step-by-step explanation:
We do FOIL to solve this
Suppose $580 is placed in a savings account at a simple interest rate of
5.5%. How much interest will the account earn in 3 years?
Answer: $95.7
Step-by-step explanation:
580 x 5.5% = 31.9 x 3 =95.7
$95.7
The perimeter of the rectangle is 32 inches. what is the formula that shows the length of side c?
Answer:
Step-by-step explanation:
2(x+y)=32 means :
x+y =16
the multiple regression/correlation model is a model with: group of answer choices multiple dependent variables and multiple independent variables multiple dependent variables and a single independent variable. single dependent variable and multiple independent variables single dependent variable and single independent variable
The multiple regression model is a model with single dependent variables and multiple independent variables.
The term regression referred as a statistical method that helps us to analyze and understand the relationship between two or more variables of interest.
Here we have to find the missing term in the statement "the multiple regression/correlation model is a model with"
In order to find the solution, we must know the definition of multiple regression model.
Multiple Regression model in statistics is defined as the is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.
Based on these definition, we have identified that it has single dependent variable and multiple independent variable.
Therefore, option (c) is correct.
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The first 300 natural numbers are written in an ascending order of sequence. Now all the numbers at the odd places of this sequence are removed and, thus a new sequence is formed. From this new sequence, all the numbers at odd places are removed once again. This process continues till only one number remains at the end. What is this number?
The final number remaining in this sequence is the number 2.
We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.
After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.
Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.
After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.
We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.
Continuing this process, we will eventually reach a point where we have only one number left.
Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.
Therefore, the final number remaining in this sequence is the number 2.
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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.6 centimeters. Answer parts a and b.
a Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer:
41.6cm
Step-by-step explanation:
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Please help me - I will give brainlist
Answer:
File won't load...?
Step-by-step explanation:
Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answer:
leading co-efficent is 4