Answer:
none.
(a) is the closest
Step-by-step explanation:
A histogram is a sorting of the data values into bins. It tells you how many values fall in each bin.
Here the boundary values of the bins are labeled with integers. Comparison of the data to the graphs indicates the limits on a bin exclude the upper end. That is, for the bin labeled 20–24, we include only values 20 ≤ x < 24.
__
None of the offered choices is a correct histogram of the given data set.
__
Sorting the data into increasing order can help you create or check the histogram. The attachment shows the 25 data values sorted and properly binned into 5 bins of width 4.
A: only 24 data values are shown. The right-most bin is one short. Otherwise this is the best choice of answer.
B: only 24 data values are shown. They do not match the given data set. Too many (4) are put into the first bin.
C: 25 data values are shown. They do not match the given data set. Too few (2) are put in the first bin.
D: 25 data values are shown. They do not match the given data set. Too many (5) are put in the first bin.
_____
Additional comment
Usually, we want bin definitions so that there is no ambiguity regarding where a data value goes.
if sinA+cosecA=3 find the value of sin2A+cosec2A
Answer:
\(\sin 2A + \csc 2A = 2.122\)
Step-by-step explanation:
Let \(f(A) = \sin A + \csc A\), we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
\(\csc A = \frac{1}{\sin A}\) (1)
\(\sin^{2}A +\cos^{2}A = 1\) (2)
Now we perform the operations: \(f(A) = 3\)
\(\sin A + \csc A = 3\)
\(\sin A + \frac{1}{\sin A} = 3\)
\(\sin ^{2}A + 1 = 3\cdot \sin A\)
\(\sin^{2}A -3\cdot \sin A +1 = 0\) (3)
By the quadratic formula, we find the following solutions:
\(\sin A_{1} \approx 2.618\) and \(\sin A_{2} \approx 0.382\)
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
\(\sin A \approx 0.382\)
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
\(A \approx 22.457^{\circ}\)
Then, the values of the cosine associated with that angle is:
\(\cos A \approx 0.924\)
Now, we have that \(f(A) = \sin 2A +\csc2A\), we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
\(\sin 2A = 2\cdot \sin A\cdot \cos A\) (4)
\(\csc 2A = \frac{1}{\sin 2A}\) (5)
\(f(A) = \sin 2A + \csc 2A\)
\(f(A) = \sin 2A + \frac{1}{\sin 2A}\)
\(f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}\)
\(f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}\)
If we know that \(\sin A \approx 0.382\) and \(\cos A \approx 0.924\), then the value of the function is:
\(f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}\)
\(f(A) = 2.122\)
Find the common ratio.
-2, -4/3, -8/9, -16/27, -32/81, ...
r = ?
-2, -4/3, -8/9, -16/27, -32/81
-2 x 2/3
-2 x 2 = -4, 1 x 3 = 3
-2/1 x 2/3 = -4/3
Let me know if this is the correct answer. :)
HELP PLEASE PICTURE EXPLAINS EVERYTHING!!!!
Answer:
(a) Slope of Line 1 = 3
Slope of Line 2 = 3
Slope of Line 3 = -1/3
(b)
Line 1 and Line 2 = Parallel
Line 1 and Line 3 = Perpendicular
Line 2 and Line 3 = Perpendicular
Step-by-step explanation:
Please mark as brainliest! Thanks! Hope this helps!
Solve the following equation 0. 8+0. 7x/x=0. 86
The solution to the equation is x = -5.
To solve the equation (0.8 + 0.7x) / x = 0.86, we can begin by multiplying both sides of the equation by x to eliminate the denominator:
0.8 + 0.7x = 0.86x
Next, we can simplify the equation by combining like terms:
0.7x - 0.86x = 0.8
-0.16x = 0.8
To isolate x, we divide both sides of the equation by -0.16:
x = 0.8 / -0.16
Simplifying the division:
x = -5
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Factor the expression.
4xy + 18ry²
Answer:
2y ( 2x + 9ry)
Step-by-step explanation:
A.) Find the greatest common factor and factor out:
(2y x 2x) + (2y x 9ry) = 2y ( 2x + 9ry )
or
B.) Expand each expression:
4xy = ( 2 x 2 x X x y )
18ry^2 = ( 2 x 3 x 3 x r x y x y )
( 2 x 2 x X x y ) + ( 2 x 3 x 3 x r x y x y )
Then, take out like terms and put the expanded factors back together:
2y ( 2 x X + 3 x 3 x r x y ) = 2y ( 2x + 9ry )
Hope this helps!
1. What would you think "11 more than a number" would look like if you wrote it as a function ( don't use spaces in answer and use x for variable)
Answer:
11+x
Step-by-step explanation:
Let the number be x
11 more than the more will be
11+x
How could you label this angle?
Would you consider the angle to be acute, right or obtuse?
Answer:
Obtuse
Step-by-step explanation:
Since the angle is higher than 90 degrees (which would be labeled as a box in the corner), the angle of A is obtuse
Answer:
obtuse
Step-by-step explanation:
obtuse - larger than a right angle/90°
right angle- would have the box in the inner corner to show its a right angle
acute - smaller than a right angle/90°
Is the selected one correct, and if not state why and the correct answer
Answer:
9x-8y=8
Step-by-step explanation:
4x-6y=13
-5x+2y=5
9x-8y=8
when you subtract a negative the negative turns to a postivie.
this means that you would be adding 4x and 5x which makes 9x and then subtrcacting 2y into -6y which brings that result to -8y and then lastly you are subtracting 13-5 which is 8
Find the value of each of the six trigonometric functions of the
angle theta in the figure.
Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a=28 and b=21 0 led a
The lengths of sides a and b are required in order to determine the values of the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) of angle or angle 0 in the shown figure. Only the values of a (28) and b (21) are given, though.
We need more details about the angles or lengths of the other sides of the triangle in order to calculate the values of the trigonometric functions. It is impossible to determine the precise values of the trigonometric functions without this knowledge.
We could use the ratios of the sides to compute the trigonometric functions if we knew the lengths of other sides or the measurements of other angles. As an illustration, sine () denotes opposed and hypotenuse, cosine () adjacent and hypotenuse, tangent opposite and adjacent, and so on.
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A town has a 3-million-gallon storage capacity water tower. If the density of water is 62.4 lb/ft³ and local acceleration of gravity is 32.1 ft/s², what is the force, in lbf, the structural base must provide to support the water in the tower?
The force the structural base must provide to support the water in the tower is approximately 802,179,439.36 lbf.
To find the force the structural base must provide to support the water in the tower, we can use the formula: force = weight = mass * acceleration due to gravity.
First, we need to find the mass of the water in the tower. We can do this by converting the volume of water in gallons to cubic feet and then multiplying it by the density of water.
1. Convert the volume of water from gallons to cubic feet:
- 1 gallon = 0.13368 cubic feet (approximately)
- So, the volume of water in the tower = 3 million gallons * 0.13368 cubic feet/gallon = 401,040 cubic feet (approximately)
2. Now, we can find the mass of the water: - Mass = volume * density = 401,040 cubic feet * 62.4 lb/ft³ = 25,008,096 lb (approximately)
3. Finally, we can calculate the force or weight the structural base must provide:
- Force = weight = mass * acceleration due to gravity = 25,008,096 lb * 32.1 ft/s² = 802,179,439.36 lbf (approximately)
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y=1/2x+4
y=-2x+9
elmantion or substutuion method
Answer:
(2;5)
Step-by-step explanation:
Elimination:
Let's first multiply the first by 2 to clear fractions and write them both in standard form:
\(\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\\)
Eliminate x: Multiply the first by 2, then subtract the equations:
\(2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5\)
Eliminate y: Multiply the second by 2, then add equations:
\(I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2\)
Subtsitution
Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.
\(\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2\)
Then let's plug this value into a convenient one - let's say, the first - and find y from there:
\(y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5\)
If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.
How many DVDs. A small independent movie company determines the profit P for producing n DVD copies of a recent release is P = −0.02n2 + 3.40n − 16. P is the profit in thousands of dollars and n is in thousands of units.
a. How many DVDs should the company produce to maximize the profit?
should the company produce to maximize the profit?
Answer:
128.5 thousand dollars
Step-by-step explanation:
The number of DVDs the company can sell to maximize the profit is 85
What is differentiation?
In mathematics, differentiation is the process of determining the derivative, or rate of change, of a function. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function based on one of its variables. The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately
Given data ,
Let the profit P for producing n DVD copies be P ( n )
where P ( n ) = −0.02n² + 3.40n − 16
Now , to find the maximum number of DVDs to produce in order to maximize the profit is calculated by finding the derivative of P ( n ) with respect to n
And , dP (n) / dn = 0
So , the equation will be
P ( n ) = −0.02n² + 3.40n − 16
dP (n) / dn = -0.04n + 3.4
When dP (n) / dn = 0 , we can find the value for n
So ,
-0.04n + 3.4 = 0
Adding 0.04n on both sides , we get
0.04n = 3.4
Divide by 0.04 on both sides , we get
n = 85
Hence , The number of DVDs the company can sell to maximize the profit is 85
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Help I give you a cookie;)
Answer:
Step-by-step explanation:
assuming the two angles are supplementary, add them together to equal 180.
0.19x+57+0.06x+36=180
combine like terms
0.25x+93=180
subtract 93 from both sides
0.25=87
divide both sides by 0.25
x=348
ABD is 123.12 degrees
CBD is 56.88 degrees
Ekaterina’s favorite expression is 4x – 4. Alban’s favorite expression is 8x – 24. What value of x makes these two expressions equal?
Answer:
x = 5
Step-by-step explanation:
You are solving for a x that can, when plugged in, equate both given expressions. To do so, set each given expression equal to each other:
4x - 4 = 8x - 24
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 8x and add 4 to both sides of the equation:
4x (-8x) - 4 (+4) = 8x (-8x) - 24 (+4)
4x - 8x = -24 + 4
-4x = -20
Next, divide -4 from both sides of the equation:
(-4x)/-4 = (-20)/-4
x = -20/-4
x = 5
5 is your answer.
Check:
Plug in 5 for x in both given expressions:
4x - 4
4(5) - 4
= 20 - 4
= 16
-
8x - 24
8(5) - 24
= 40 - 24
= 16
~
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yesterday, eric had m baseball cards. today, he got 10 more. using m , write an expression for the total number of baseball cards he has now. as an equation
Answer:
m+10
Step-by-step explanation:
We know that yesterday, eric had m baseball cards. Thus, we can denote that the total number of baseball cards he had yesterday is m.
We know that he got 10 more today. Since he is receiving more, he is adding to his collection. Since he is getting more, we have to add 10 to how many baseball cards he used to have. He used to have m baseball cards, so today he has m+10 baseball cards.
This is the answer as we cannot combine 10 and m. Since m is a variable with no set value as of now, and 10 is a constant number that has no variable, they are not like terms and cannot be added. So the answer is m+10 baseball cards.
I hope this helped.
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What value of y makes the number sentence shown true?
y−3=15
Answer:
18
Step-by-step explanation:
y-3=15
+3 +3
if you add 3 to the other side, you would get:
y=18
My bag weighs 4 pounds how many ounces does it weigh
Answer:
The answer is 64 ounces.
Answer:
64 ounces
Step-by-step explanation:
1 pound = 16 ounces
4 * 16 = 64
10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
a drug test has a sensitivity of 0.6 and a specificity of 0.91. in reality, 5 percent of the adult population uses the drug. if a randomly-chosen adult person tests positive, what is the probability they are using the drug?
Therefore, the probability that a randomly-chosen adult person who tests positive is using the drug is approximately 0.397, or 39.7%.
The probability that a randomly-chosen adult person who tests positive is using the drug can be determined using Bayes' theorem.
Let's break down the information given in the question:
- The sensitivity of the drug test is 0.6, meaning that it correctly identifies 60% of the people who are actually using the drug.
- The specificity of the drug test is 0.91, indicating that it correctly identifies 91% of the people who are not using the drug.
- The prevalence of drug use in the adult population is 5%.
To calculate the probability that a person who tests positive is actually using the drug, we need to use Bayes' theorem.
The formula for Bayes' theorem is as follows:
Probability of using the drug given a positive test result = (Probability of a positive test result given drug use * Prevalence of drug use) / (Probability of a positive test result given drug use * Prevalence of drug use + Probability of a positive test result given no drug use * Complement of prevalence of drug use)
Substituting the values into the formula:
Probability of using the drug given a positive test result = (0.6 * 0.05) / (0.6 * 0.05 + (1 - 0.91) * (1 - 0.05))
Simplifying the equation:
Probability of using the drug given a positive test result = 0.03 / (0.03 + 0.0455)
Calculating the final probability:
Probability of using the drug given a positive test result ≈ 0.397
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Suppose the probability that a U.S. resident has traveled to Canada is , to Mexico is , and to both countries is . What is the probability that an American chosen at random has
(a) Traveled to either Canada or Mexico?
(b) Neither traveled to Canada nor Mexico?
(a) The probability that an American chosen at random has traveled to either Canada or Mexico is 0.5 or 50%.Thus, option (a) is correct.
We know that the probability of the event that a U.S. resident has traveled to either Canada or Mexico is P(C∪M). But we know that P(C∪M) = P(C) + P(M) - P(C∩M)
P(C∪M) = 0.3 + 0.4 - 0.2
P(C∪M) = 0.5
(b) The probability that an American chosen at random has neither traveled to Canada nor Mexico is 0.5 or 50%.Thus, option (b) is correct.
We are to find the probability that an American chosen at random has neither traveled to Canada nor Mexico. This is the complement of the event that a U.S. resident has traveled to either Canada or Mexico.
The probability of the event that a U.S. resident has neither traveled to Canada nor Mexico is:P(Not C∪M) = 1 - P(C∪M)
P(Not C∪M) = 1 - 0.5 = 0.5
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13 1/4 + 4 3/4 . Write your answer in simplest form
HELP MEE
Answer: 18/1
Step-by-step explanation:
13 + 4 = 17
1/4 + 3/4 = 1
17 + 1 = 18
Answer:
18
Step-by-step explanation:
13 1/4= 13.25 and 4 3/4=4.75. 13.25+4.75=18
Hope this helped!
Harriet has five more than three times the number of toys than Julie. Write an algebraic expression that shows the number of toys Harriet has in terms of the number of toys that Julie has.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Let the number of toys Julie has be x
now, the expression representing the number of toys that Harriet have is :
\(3x + 5\)Answer:
3j + 5
Step-by-step explanation:
julie = j
so ur expression would be
3j + 5
brainliest?
Write the equation of a line if the slope is ½ and y -intercept is 4.
Answer:
the answer is y = 1/2 x + 4
Step-by-step explanation:
I really don't know if it was -4 but if it was negative four you put -4 so hopefully this help
A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity 6. If
the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?
Answer:
lower graph
Step-by-step explanation:
• Odd degree , positive leading coefficient
Then end behaviour is
As x → - ∞ then y → - ∞
As x → + ∞ , then y → + ∞
The graph also has roots at x = - 4, x = - 1 and x = 5
These features are displayed in the lower graph
The graph of the function is shown in second graph.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity 6.
Hence, Condition is, Odd degree and positive leading coefficient
Then end behavior is,
As x → - ∞ then y → - ∞
As x → + ∞ , then y → + ∞
Here, The graph also has roots at x = - 4, x = - 1 and x = 5
Hence, All of the above is shown in second graph.
Thus, Second graph is correct.
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What is 9 divided by 1504
Answer:
9 ÷ 1504 = 0 R 9
0.00598404255
Step-by-step explanation:
Shown above is remainder form and decimal form...
True or false? When conducting a two-tailed test for the population proportion p, we reject the null hypothesis if the hypothesized value for p falls inside the confidence interval.
The statement "when conducting a two-tailed test for the population proportion "p," we reject the null hypothesis if the hypothesized value falls outside the confidence interval" is false because confidence interval provides a range of plausible values for the population proportion.
A confidence interval provides a range of plausible values for the population proportion "p" based on the sample data. It quantifies the uncertainty associated with estimating the true proportion. Typically, a 95% confidence interval is used, which means that if we were to repeat the sampling process multiple times, we would expect 95% of the confidence intervals to contain the true population proportion.
When conducting a two-tailed test, we reject the null hypothesis if the hypothesized value (in this case, 0.5) falls outside the confidence interval. In other words, if the hypothesized value is not within the range of plausible values for the population proportion based on the confidence interval, we reject the null hypothesis.
The reason behind this is that if the hypothesized value falls within the confidence interval, it implies that the null hypothesis is still plausible. On the other hand, if the hypothesized value falls outside the confidence interval, it suggests that the null hypothesis is unlikely to be true, and we have evidence to support the alternative hypothesis.
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dose it matter when finding if a slope is positive or negative if the line goes through the origin?
Find y if y = -7x -23 and x = 10
Answer:
y=-93
Step-by-step explanation:
You just substitute 10 for x
y=-7(10)-23
y=-70-23
y=-93
use the 68-95-99.7 rule to find the proportion of runners whose body weight is between 48.7 and 67.9 kg.
Based on the complete question, the Normal Distribution Graph will resemble the one in the figure attached.
Also, note that using the 68-95-99.7 rule, the proportion of runners between 48.7 and 67.9 kg is 0.8385.
What is the 68-95-99.7 rule?
The 68-95-99.7 rule, also known as the empirical rule, is a statistician's shorthand for remembering the percentage of values in a normal distribution that fits within an interval estimate: 68%, 95%, and 99.7% of the variables lie within one, two, and three standard deviations of the mean, correspondingly.
To compute the proportion of runners whose body weight is between 48.7 and 67.9 kg with the help of the 68-95-99.7 rule:
We know given that:
The mean = 63.1 and
the standard deviation (SD) = 4.8.
Where the weight is 67.9kg, we know that the distance between this and the mean is 4.8, that is;
67.9 - mean
= 67.9 - 63.1
= 4.8 [1*SD]
In the same way,
48.7 corresponds to 48.7-63.1 = -14.4 [ -3*SD]
Hence, based on the rule,
the probability of the weight occurring between -1*SD and 1*SD = 68%; and the probability of the weight occurring between -3*SD and 3*SD = 99.7%.Therefore, the probability of the weight occurring between -3*SD and 1*SD = (99.7+68)/2= 83.85%
= 0.8385.
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Full Question:
A study of elite distance runners found a mean body weight of 63.1 Kilograms (kg), with a standard deviation of 4.8kg.
Assuming the distribution of weights is approximately normal, make a sketch of the weight distribution (like the one below) with a horizontal axis marked in kilograms.Use the 68-95-99.7 rule to find the proportion of runners whose body weight is between 48.7 and 67.9 kg9. Use the figure shown to identify each.
a. Vertical angles
b. Adjacent angles
c. Linear pairs
d. Supplementary angles
e. Complementary angles
The angles in the given figure are:
a. Vertical angles: angle 3 and angle 5.
b. Adjacent angles: angle 1, angle 2, angle 3, angle 4, and angle 5.
c. Linear pairs: angle 3 and angle 4, angle 4 and angle 5.
d. Supplementary angles: angle 4 and angle 5.
e. Complementary angles: angle 1 and angle 2.
We are given a figure and we need to identify the angle.
Let us identify the angle:
a. Vertical angles:
Each of the pairs of opposite angles is made by two intersecting lines.
In the given figure,
angle 3 and angle 5 are vertical angles.
b. Adjacent angles:
In the given figure,
angle 1, angle 2, angle 3, angle 4, and angle 5.
c. Linear pairs:
The sum of the two angles should be 180 degrees.
In the given figure,
angle 3 and angle 4, angle 4 and angle 5.
d. Supplementary angles:
The sum of the two angles should be 180 degrees.
In the given figure,
angle 4 and angle 5.
e. Complementary angles:
The sum of the two angles should be 90 degrees.
In the given figure,
angle 1 and angle 2.
Thus, the angles in the given figure are:
a. Vertical angles: angle 3 and angle 5.
b. Adjacent angles: angle 1, angle 2, angle 3, angle 4, and angle 5.
c. Linear pairs: angle 3 and angle 4, angle 4 and angle 5.
d. Supplementary angles: angle 4 and angle 5.
e. Complementary angles: angle 1 and angle 2.
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