Given:
Total number of students: T = 147
Number of students taking math : M = 95
Number of students taking science : S = 73
Number of students taking both math and science = 52
To find:
The theoretical probability of randomly choosing a student who is taking math.
Solution:
It is given that,
Total number of students (T) = 147
Number of students taking math (M) = 95
So, he theoretical probability of randomly choosing a student who is taking math is:
\(P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100\%\)
\(P(M)=\dfrac{95}{147}\times 100\%\)
\(P(M)=64.62585\%\)
\(P(M)\approx 64.6\%\)
64.6% is the theoretical probability of randomly choosing a student who is taking math.
Hence, option C is correct.
ALSO NEED HELP ON THIS ONE, ASAP!! (No links, thats all)
(20!!)
(05.01) Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 12 inches. Use the image below to determine the area of the triangle and how many she can cut out.
A) The area of the triangle is 36 in2, so she can only create 2 triangles
B) The area of the triangle is 72 in2, so she can only create 2 triangles
C) The area of the triangle is 36 in2, so she can only create 4 triangles
D) The area of the triangle is 72 in2, so she can only create 4 triangles
The area of the triangle is 36 in², so she can create only 4 triangles.
Find the largest six digits number which is divisible by 120 exactly.
Answer:
999,960
Step-by-step explanation:
let x be a multiple of 120
120x ≤ 999,999
999,999 / 120 = 8333.325
8333 ≤ x ≤ 8334
8333(120) = 999,960
8334(1200) = 1,000,080 this is a 7-digit number
Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960
in a test of significance, if all else is held constant, what can be done to increase the power of a test? decrease the sample size. decrease the significance level. decrease the sample size or decrease the significance level. increase the sample size or increase the significance level.
To increase the power of a statistical test, one can increase the sample size or increase the significance level. Option D.
It is necessary to either increase the sample size or raise the significance threshold in order to increase the power of a statistical test while maintaining all other factors constant. Let's investigate the causes of this.
The likelihood of successfully rejecting the null hypothesis in a statistical test is known as power. In other words, it refers to the test's capacity to identify a genuine difference or impact. A Type II mistake happens when we fail to reject the null hypothesis even when it is untrue, hence increasing the power is beneficial because it lowers the likelihood of this occurrence.
The power of a test is improved by increasing the sample size. More data points are provided and sampling variability is decreased with a bigger sample size. The test becomes increasingly capable of detecting subtle effects or variations as there are more observations. Because the test has a better chance of successfully identifying a real effect, the power rises as a result.
Alternately, increasing the strength can be accomplished by raising the significance level, also referred to as the alpha level. The threshold for rejecting the null hypothesis is determined by the significance level. The test is made more forgiving by raising the significance level (for instance, from 0.05 to 0.10), which makes it simpler to reject the null hypothesis.
As a result, the test's power rises as the likelihood that it will find a real effect rises.
It's crucial to keep in mind, though, that raising the significance level also raises the likelihood of making a Type I error, which is to reject the null hypothesis when it is actually true. Since there is a chance of producing more false positives, altering the significance threshold should be done with caution. The right answer is D.
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Help pleanbehehdhddhdhdhdhdhdhdhhd
Answer:
Step-by-step explanation:
h
------ - 1 = -3
6
To solve for h, first add 1 to both sides to isolate h/6:
h
---- = -2
6
Now isolate h by multiplying both sides by 6:
h = -12
Answer:
h is -12
..... .. . . . . .. . . .
Let L: R² R² be a linear operator. If L((1,2)) = (-2,3), and L((1,-1)²) =(5,2),+ Find the value of L((7,8)¹) 799
L((7,8)) = (-9,23). To find the value of L((7,8)), we can use the linearity property of the linear operator L.
Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).
We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).
Using the linearity property, we can distribute the linear operator L over the linear combination:
L((7,8)) = L(7(1,2) + 1(1,-1))
= 7L((1,2)) + L((1,-1))
= 7(-2,3) + (5,2)
= (-14,21) + (5,2)
= (-9,23)
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La Sra.Elena y el Sr.Eulalio,abortan taxis diferentes de la misma empresa el costo del servicio es un importe fijo de salida (banderazo) mas otra cantidad por los kilometros recorridos.Si la SraElena paga $190 por recorrer 8 km y el Sr Eulalio paga $130 por correr 5 km calcular el costo de banderazo y el costo por kilometro recorrido
Answer:
$ 30
$ 20
Step-by-step explanation:
Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.
De la pregunta obtenemos las dos ecuaciones
\(x+8y=190\quad ...(i)\)
\(x+5y=130\quad ...(ii)\)
Aplicando \((i)-(ii)\)
\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)
Sustituyendo en \((ii)\)
\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)
Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.
Y-4= -2(x+3) the 2 variable equations
Answer:
y=-2x-10
this is slope-intercept form, if this is what you're asking for?
Step-by-step explanation:
simplify: y-4 = -2x-6
y= -2x -10
what are the coordinates of the image P for a dilation with center (0,0) and a scale factor 2? answer choices :• (2,0) • (0,6)• (-4, 2)• (0,5)
Rule for a dilation with center (0,0)
\((x,y)\rightarrow(kx,ky)\)k is the scale factor.
For point P (0,3):
\(\begin{gathered} P(0,3)\rightarrow P^{\prime}(2(0),2(3)) \\ P(0,3)\rightarrow P^{\prime}(0,6) \end{gathered}\)Then the coordiantes of point P after the dilation are (0,6)which of the following is gravity not responsible for?
Full question
8. Which of the following is NOT a role of gravity in erosion?
A. It moves glaciers down slope.
B. It loosens the land materials ANSWERC. In mountains, it moves down large slabs of rocks.
D. It acts as agents of mass wasting like landslides, fall, mudflows, and avalanches
Write 11√11 in the form √a
where a is an integer to be found.
The value of 11√11 in form of √a is √1331.
What is Square root?The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is \sqrt{ } square root of, end square root . Finding the square root of a number is the opposite of squaring a number.
Given:
11√11, we have to write in the form of √a.
First, anything that comes out of the root have a pair when turns inside the root like (2 x 2 x 2) then only one '2' comes outside the root which can be seen as 2√2.
Now, 11√11 can be written as
= √11 x 11 x 11
= √1331.
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im stumped on this question. please help:)
Answer:
(-2,6)
Step-by-step explanation:
the actual solution to the system of equations is (-(64/27),(56/9)).
however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!
What is the opposite of 49?
|49|
+49
-49
7
severe difficulty in making mathematical calculations as a result of a brain disorder
Dyscalculia is a learning disorder that affects a person’s ability to do the math.
A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.
The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.
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The last four weekly values of sales were 80, 100, 105, and 90 units. the last four forecasts were 60, 80, 95, and 75 units. these forecasts illustrate:_________
These forecasts illustrate bias.
What is bias?Bias is defined as a disproportionate weight in favor of or against an idea or thing, usually in a closed-minded, prejudicial, or unfair manner. Biases can be inherited or acquired. Biases for or against an individual, a group, or a belief can develop. A bias is a systematic error in science and engineering. Statistical bias occurs when a population is unfairly sampled or when an estimation process produces inaccurate results on average. As an example, the previous four weekly sales values were 80, 100, 105, and 90 units. The last four forecasts were for 60, 80, 95, and 75 units, respectively. These forecasts show bias.Therefore, these forecasts illustrate bias.
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Teeto2-mythos.conten...
Dashboard
Courene-
Coarch
Khan Aradamu
Testing solutions to inequalities (basic)
Which of the x-values are solutions to both of the following inequalities?
4 < x and x < 40
Choose all answers that apply:
A=7
B=40
C = 51
Inequalities are used to represent unequal expressions
The x value that is a solution of both inequalities is (a) 7
How to determine the correct x-valueThe inequalities are given as:
4 < x and x < 40
Rewrite the inequality as:
x > 4 and x < 40
The above means that:
The x-values are greater than 4 and less than 40
From the options.
7 is greater than 4 and less than 40
Hence, the x value that is a solution of both inequalities is (a) 7
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in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the ___________ come from a normal distribution.
In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the error term come from a normal distribution.
In a simple linear regression model, the normal quantile plot of the residuals is a graphical tool used to assess the normality assumption of the error term (also known as the residual). The error term represents the difference between the actual value of the dependent variable and the predicted value by the model.
Assuming that the error term follows a normal distribution is important for various reasons. Firstly, the normal distribution is a very common assumption in statistics, and many statistical methods rely on it. Secondly, a normal distribution of the error term is essential for making reliable predictions and for computing valid confidence intervals.
The normal quantile plot of the residuals compares the distribution of the residuals against a theoretical normal distribution. The plot consists of a straight line if the residuals are normally distributed. However, if the plot shows deviations from the straight line, it indicates non-normality in the residuals.
If the normality assumption is not satisfied, we need to explore the reasons for the non-normality and consider alternative methods to analyze the data, such as non-parametric methods.
Therefore, the normal quantile plot of residuals is an essential diagnostic tool in simple linear regression, as it allows us to evaluate the assumption of normality and make appropriate adjustments to the model.
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If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.
Urgent help
Solve the whole right triangle
Answer:
Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513
Step-by-step explanation:
let r be a relation defined on set s where s is the set of all people in usa, and x r y means that x and y can communicate using the same spoken language. the relation r on s is reflexive.
Based on the information illustrated,
the relation r on s is reflexive. Therefore, it's true.
How to explain the information?If every component of a set X is related to one another, then a relation R over that set is said to be reflexive.
If (a, a) R for all A, that is, if every element of A is R-related to itself, or if aRa for every a A, then R is set to be reflexive.
In the example question, S is the set of all Park students, and R is a relation over S.
When a relationship is described as xRy, it signifies that x and y have the same biological mother.
This relation is obviously a reflexive relation. xRx means x and x has the same biological mother. In this case, the relation satisfies the requirement for all aR (a,a) R.
Therefore, it's true.
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write a rule for the function
Answer:-18
Step-by-step explanation: i know evertyhing
Using a table of values, approximate the solution to the equation below to the nearest fourth of a unit.
(IN SCREENSHOT)
A. x≈2.75
B. x≈3
C. x≈2.5
D. x= 4.75
PLEASE HELP ITS DUE SOON :(( edmentum L
Answer:
2.75
Step-by-step explanation:
A graph shows the left function intersects the right function between x=2 and x=3, eliminating choice D.
A table shows the difference between the left function and the right function is closest to zero for x=2.75.
Mary bought 6 tickets to a basketball game. She paid a total of $228. Write an equation to represent this situation.
Answer:
6(x)=228
Step-by-step explanation:
Answer:
228/6
Step-by-step explanation:
she is dividing the 228 dollars among the six tickets to get the answer
you can also put 228 divided by 6
Please help me with this homework
Answer:
$3.60
Step-by-step explanation:
Use elimination to find the solution to the system of equations. 4x+2y=34 5x-6y=34
Answer:
Let's solve for x.
4x+2y=345x−6y
Step 1: Add -345x to both sides.
4x+2y+−345x=345x−6y+−345x
−341x+2y=−6y
Step 2: Add -2y to both sides.
−341x+2y+−2y=−6y+−2y
−341x=−8y
Step 3: Divide both sides by -341.
−341x
−341
=
−8y
−341
x=
8
341
y
Step-by-step explanation:
Answer:
x=8 and y=1Step-by-step explanation:
4x+2y=34;5x−6y=34
Step: Solve 4x+2y=34 for x:
4x+2y=34
4x+2y+−2y=34+−2y(Add -2y to both sides)
4x=−2y+34
4x 4 =−2y+34 4
(Divide both sides by 4)
x=−1/2y+17/2
Step: Substitute
−1/2y+17/2
solve for x in 5x−6y=34:
5x−6y=34
5(−1/2y+17/2)−6y=34
−17/2y+85/2=34(Simplify both sides of the equation)
−17/2y+85/2+−85/2=34+−85/2
(Add (-85)/2 to both sides)
−17/2
y=−17/2/−17/2y−17/2=−17/2/−17/2
(Divide both sides by (-17)/2)
y=1
Step: Substitute 1 for y in
x=−1//2y+17/2:
x=−1/2y+17/2
x=−1/2(1)+17/2
x=8 (Simplify both sides of the equation)
Twice a certain number is tripled .
The resulting number is
Answer: 6x
Step-by-step explanation:
so consider x as the number,
twice of x= 2x
2x tripled= 2x*3
= (2*3)x
= 6x
What is an equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14?
Answer: y = -1/2x -4
Step-by-step explanation:
Parallel lines have the same slope.
So first let’s find the slope of that given line.
x + 2y = 14
2y = -x+14
y = -1/2x + 7
The slope of our parallel line then will be -1/2.
Now let’s use the point they gave us to get “b” so we can finish the problem.
y= -1/2x + b
plug in (-8,0) so -8 for x and 0 for y
0 = -1/2(-8) + b
0 = 4 + b
b = -4
done!
An equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14 is 2
Equation of a lineThe equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)m is the slope(x1 y1) is the point on the lineGiven the equation
x + 2y = 14
2y = -x + 14
y = -1/2x + 7
Slope of the line is -1/2
Substitute the point (-8, 0) and m = -1/2 into the formula
y - 0 = -1/2 (x+8)
2y = -x - 8
2y + x = -8
Hence an equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14 is 2y+ x = -8
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find the value of (27/8)-2/3
The value of (27/8)-2/3 is..
Exact Form: 65/24
Decimal Form: 2.7083...…
Mixed Number Form: 2 17/24
Answer: 65/24 decimal form: 2.7
Step-by-step explanation: (27/8)-2/3
(3^3/2^3)-2/3
3(3^)+8(-2)/2^3.3
Xaiver earns 45$ to walk the neighbors dog 8 hours during the week how much does xavier earn per hour
Xavier earns 5.625 dollars per hour to walk the neighbor's dog during the week.
To calculate Xavier's earnings per hour, we divide the total amount earned by the number of hours worked. In this case, Xavier earns $45 for 8 hours of work.
Earnings per hour = Total earnings / Number of hours
Earnings per hour = $45 / 8 hours
By performing the calculation, we find that Xavier earns $5.625 per hour.
This means that for every hour Xavier spends walking the neighbor's dog, he earns approximately $5.625. This calculation allows us to determine Xavier's hourly rate for this particular job.
Earnings per hour is a useful measure as it helps us understand the value of Xavier's time and the compensation he receives for his work. It also provides a benchmark for comparing hourly rates with other jobs or tasks. It's important to note that this calculation assumes Xavier's earnings are consistent and that there are no additional factors, such as taxes or deductions, affecting his overall income.
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A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
The length of a rectangle is increasing at a rate of 15 cm/s and its width is decreasing at a rate of 8 cm/s. When the length is 38 cm and the width is 16 cm, at what rate is the area of the rectangle changing
The rate at which the area of the rectangle is changing is -64 cm²/s.
To find the rate at which the area of the rectangle is changing, we'll need to use the given information and differentiate the area function with respect to time.
Step 1: Identify the given rates and measurements
- Length (L) is increasing at a rate of 15 cm/s (dL/dt = 15)
- Width (W) is decreasing at a rate of 8 cm/s (dW/dt = -8)
- At the specific moment we are interested in, L = 38 cm and W = 16 cm
Step 2: Write the equation for the area of the rectangle
- Area (A) = L * W
Step 3: Differentiate the area equation with respect to time (t)
- dA/dt = d(L * W)/dt = (dL/dt * W) + (L * dW/dt)
Step 4: Substitute the given information into the differentiated equation
- dA/dt = (15 * 16) + (38 * -8)
Step 5: Calculate the result
- dA/dt = 240 - 304 = -64 cm²/s
This negative value indicates that the area is decreasing. It's due to the fact that the width is decreasing faster than the length is increasing at the given moment.
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