Answer:
70
Step-by-step explanation:
Answer:
The answer is 70.
Step-by-step explanation:
In order to find the value of k(-5), you have to substitute the value of x into the function k :
\(k(x) = 6x + 100\)
Let x = -5,
\(k ( - 5) = 6( - 5) + 100\)
\(k( - 5) = - 30 + 100\)
\(k( - 5) = 70\)
find the height of a pyramid. please help me i’ll give u brainleist
Answer:
h = 20 cm
Step-by-step explanation:
Base Area = 18 cm * 5 cm = 90 cm²
Volume = 600 cm³
Arranging the formula for h:
h = \(\frac{3(Volume)}{base Area}\)
h = \(\frac{3(600)}{90}\)
h = \(\frac{1800}{90}\)
h = 20 cm
Which equation represents a line which is perpendicular to the line y=-1/2x -7
Answer:
y-2x=4
Step-by-step explanation:
the slope is 2
the opposite reciprocal is -1/2
2/1 = 2
Bruce made 6 pans of brownies. He cut each pan into 9 brownies. How many brownies did Bruce end up with?
Answer:
54
Step-by-step explanation:
9 x 6 = 54 Bruce will end up with 54 brownies if he cuts each of the 6 brownie pans of brownies into 9.
to calculate the center line of a control chart you compute the ________ of the mean for every period.
The centre line of a control chart is calculated by computing the average (mean) of the data for every period.
In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.
The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.
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Multiply the first number by its reciprocal:
6
X
6
42
The result after multiplication = 6/X, 1, 1/ 7
What is reciprocal?When one is divided by a number or value it is called the reciprocal of that number or value. It is also said the inverse form of the value or number. As example, reciprocal of 12 is written as 1/12.
What is the result?
There are four values 6, X, 6 and 42.
multiply the first number by the reciprocal of others.
reciprocal of X = 1/X
reciprocal of 6 = 1/6
reciprocal of 42 = 1/42
now we multiply, 6×1/X = 6/X
6×1/ 6 = 1
6×1/ 42 = 1 /7
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find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y2 16, 4 ≤ x ≤ 12
The exact area of the surface obtained by rotating the curve about the x-axis is 32π/3 square units.
The curve is 4x = y^2 + 16.
To find the surface area obtained by rotating the curve about the x-axis, we can use the formula:
Surface area = 2π ∫a^b y √(1 + (dy/dx)^2) dx
where a and b are the limits of integration and dy/dx is the derivative of y with respect to x.
First, we need to solve the equation for y:4x = y^2 + 16
y^2 = 4x - 16
y = ± √(4x - 16)
Since we are rotating about the x-axis, we need to use the positive square root.dy/dx = 1/2 √(4x - 16)' = 1/4 √(4x - 16)'
Now we can substitute y and dy/dx into the formula and integrate:Surface area = 2π ∫4^12 √(4x - 16) √(1 + (1/4 √(4x - 16)')^2) dx
= 2π ∫4^12 √(4x - 16) √(1 + (x - 4)/x) dx
= 2π ∫4^12 √(4x - 16) √(x/(x - 4)) dx
= 2π ∫4^12 2√(x(x - 4)) dx
= 4π ∫0^2 u^2/2 du (where u = √(x(x - 4)))
= 4π (u^3/3)|0^2
= 32π/3
Therefore, the exact area of the surface obtained by rotating the curve about the x-axis is 32π/3 square units.
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Hat is \text{P(heads})P(heads)start text, P, left parenthesis, h, e, a, d, s, end text, right parenthesis? If necessary, round your answer to 222 decimal places.
Question:
You flip a fair coin ; What is P(heads)? If necessary, round your answer to 2 decimal places
Answer:
\(P(Head) =0.50\)
Step-by-step explanation:
Given:
A fair coin
Required
Determine \(P(Head)\)
A coin has two faces (Head (1) and Tail (1) )
i.e. 1 head and 1 tail
Both of which have equal probability, which is calculated as follows:
\(P(Head) = P(Tail) = \frac{1}{1 + 1}\)
\(P(Head) = P(Tail) = \frac{1}{2}\)
\(P(Head) = P(Tail) = 0.5\)
Hence:
\(P(Head) =0.50\)
Answer: Its 0.50
Step-by-step explanation:
A hot air balloon starts at an elevation of 300 feet. Then, it ascends at a rate of 600 feet per minute. what is the slope of the line?
Answer:
m = 600 feet/minute
Step-by-step explanation:
In this scenario, the elevation of the hot air balloon can be represented as a linear function of time. Let's use t to denote time in minutes and h(t) to denote the elevation of the balloon in feet at time t.
We know that the balloon starts at an elevation of 300 feet, so we can write the equation of the line as:
h(t) = 600t + 300
The slope of the line represents the rate of change of the elevation with respect to time, which is the same as the rate at which the balloon is ascending. Therefore, the slope of the line is equal to the ascent rate of the balloon, which is 600 feet per minute.
So the slope of the line is:
m = 600 feet/minute
determine if the taking the derivative of the function would be explicit or implicit. also if product, quotient, or chain rule would be needed.
To determine whether taking the derivative of a function would be explicit or implicit, as well as whether the product, quotient, or chain rule would be needed.
Taking the derivative of a function is explicit when the function is given explicitly in terms of the independent variable(s). In this case, we can easily differentiate the function by applying the standard differentiation rules without any additional steps.
On the other hand, taking the derivative of a function is implicit when the function is given implicitly, meaning it is defined implicitly in terms of the independent and dependent variables. The product rule is used when differentiating a product of two functions, the quotient rule is used when differentiating a quotient of two functions, and the chain rule is used when differentiating a composite function.
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the data set has 80 observations and has mean 30 and standard deviation 5. approximately how many observations lie between 20 and 40?
A minimum of 71 observations must fall inside the interval (20, 40).
Define Chebyshev's theorem.It is true that Chebyshev's Theorem holds true for all conceivable data sets. The minimal percentage of measurements that must fall within one, two, or more standard deviations of the mean is described. The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied with this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
Given,
The data set has 80 observations and has mean 30 and standard deviation 5.
Chebyshev's theorem states that for each data set, the proportion (or percentage) of values that lie within k standard deviations of the mean (that is, the interval (x -ks , x +ks) is at least 1-1/k² . where k > 1.
x = 30
s = 5
Three standard deviations are added to and subtracted from the mean to get the interval (10, 40).
(30 - 3.5, 30 + 3.5) = (10, 40)
According to Chebyshev's Theorem, this interval contains at least 1 -1/3² = 8/9 of the data. Given that 8/9 of 80 is 71.11, the interval must include at least 71.11 observations. However, one cannot make a fractional observation, so we draw the conclusion that the interval must contain at least 71 observations.
A minimum of 71 observations must fall inside the interval (20, 40).
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3If p(x) = 2x² + 9x -9, find ppl43рП(Type(Type an integer or fraction.)4
In order to determine the value of p(3/4), we just have to replace 3/4 for x, like this:
\(\begin{gathered} p(\frac{3}{4})=2(\frac{3}{4})^2+9\frac{3}{4}-9 \\ \end{gathered}\)Then, we just have to simplify this expression to determine the vapue of p(3/4), like this:
\(\begin{gathered} p(\frac{3}{4})=2\frac{3^2}{4^2}^{}+9\frac{3}{4}-9 \\ p(\frac{3}{4})=2\frac{9}{16}^{}+9\frac{3}{4}-9 \\ p(\frac{3}{4})=\frac{2\times9}{16}+\frac{9\times3}{4}-9 \\ p(\frac{3}{4})=\frac{18}{16}+\frac{27}{4}-9 \\ p(\frac{3}{4})=\frac{9}{8}+\frac{27}{4}-9 \end{gathered}\)By multiplying the denominator and numerator of the second fraction by 2 we can make the the denominator 8 and add the two fractions:
\(\begin{gathered} p(\frac{3}{4})=\frac{9}{8}+\frac{27\times2}{4\times2}-9 \\ p(\frac{3}{4})=\frac{9}{8}+\frac{54}{8}-9 \\ p(\frac{3}{4})=\frac{9+54}{8}-9 \\ p(\frac{3}{4})=\frac{63}{8}-9 \end{gathered}\)Similarly, by multipling by 8 and dividing by 8 the last term, -9, we get:
\(\begin{gathered} p(\frac{3}{4})=\frac{63}{8}-\frac{9\times8}{8} \\ p(\frac{3}{4})=\frac{63}{8}-\frac{72}{8} \\ p(\frac{3}{4})=\frac{63-72}{8} \\ p(\frac{3}{4})=\frac{63-72}{8} \\ p(\frac{3}{4})=\frac{-9}{8} \\ p(\frac{3}{4})=-\frac{9}{8} \end{gathered}\)Then, th answer is:
\(p(\frac{3}{4})=-\frac{9}{8}\)The time to repair a power generator is best described by its pdf 12 m(t) = t^2/333; 1
The probability density function (pdf) of the time to repair a power generator is given by 12 m(t) = \(t^2\)/333; 1.
The pdf represents the probability of the repair time falling within a certain range. In this case, the pdf is described by the function 12 m(t) = \(t^2\)/333; 1, where t represents the repair time. The function \(t^2\)/333 is used to calculate the probability density for each repair time, and the constant 12 ensures that the total area under the curve equals 1, satisfying the properties of a probability density function.
The repair time distribution is characterized by a positive skewness, as indicated by the \(t^{2}\) term in the function. This means that shorter repair times are more likely to occur compared to longer repair times. The maximum likelihood estimate can be used to determine the most probable repair time, which in this case would be t = 0. The shape of the pdf curve indicates that repair times tend to be relatively short, but with a small possibility of longer repair durations.
The pdf can be utilized to analyze various aspects related to the repair time of the power generator. For example, it can be used to estimate the probability of the repair time exceeding a certain threshold or to calculate the expected repair time by computing the mean of the distribution. Additionally, the pdf can help in decision-making processes, such as determining maintenance schedules or optimizing resource allocation for repairs. Overall, understanding the pdf of the repair time allows for better planning and management of the power generator's maintenance activities.
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Here are statistics for the length of some frog jumps in inches:
the mean is 41 inches
the median is 39 inches
the standard deviation is about 9.6 inches
the IQR is 5.5 inches
How does each statistic change if the length of the jumps is measured in feet instead of inches?
Answer:
Mean- 3.41 feet or 3 feet 5 inches
Median- 3.25 feel or 3 feet 3 inches
Standard deviation- 0.8 foot
IQR- 0.45 foot
Step-by-step explanation: THESE ARE THE ANSWERS IF YOU CHANGE FROM INCHES TO FEET. The answer doesn't change same measurement.
Can I pls get brainliest?
There would be no-static change if the length of the jumps is measured in feet instead of inches.
Given that,
The mean is 41 inches, the median is 39 inches, the standard deviation is about 9.6 inches, the IQR is 5.5 inches, how does each statistic change if the length of the jumps is measured in feet instead of inches is to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
For the conversion of the length from inches to feet would not affect the static data but the values of observation will change with respect to the standard of conversion which is for 1 foot = 12 inches or 1 inch = 1 / 12 feet.
Thus, there would be no-static change if the length of the jumps is measured in feet instead of inches.
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Evaluate the expression
Answer:
3
Step-by-step explanation:
b=3 and its the same question on other side except the expression is in multiplication parenthesis.
someone help what is the answer to all i will give brainliest to best answer
6th gradw math
Answer:
The first one
Step-by-step explanation:
1. 36/-3 = -12
2.-4-(-16) =12
3.(-3)(-4) = 12
4.21+ (-9) = 12
The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.
Let me know if you need further detail for them :)
How do you find the x for this ?
yOU guys can just put A. B. C. or D.
Answer:
c i think
Step-by-step explanation:
Tyler is saving money to buy some new shoes and putting away money each week. After 3 weeks, he has $19 in his bank and after 9 weeks, he has $31.
On average, how much money did he add to his bank per week?
Answer:
$2 per a week
Step-by-step explanation:
When solving this equation, don't immediately divide 19 by three, because we have to pretend at the moment that there may already be money in his account, which shouldn't be included in the growth rate.
So instead, find the rate of change, in our case the common difference from week 3 to 9.
Write the rise over run, \(\frac{31-19}{9-3}\)Subtract, \(\frac{12}{6}\)Divide to get $2write an equation in slope intercpt form that passed through the points (-3,7) (4,10)
Answer:
y = 3/7x + 58/7
Step-by-step explanation:
y2 - y1 / x2 - x1
10 - 7 / 4 - (-3)
3 / 7
y = 3/7x + b
10 = 3/7(4) + b
10 = 12/7 + b
58/7
Answer these please!!!
The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.
What is linear inequality?
A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.
We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.
The dotted graphs are drawn for the inequalities having < or >
Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.
Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not
1. 3x-2y≤6
⇒ 0≤6
So, the equation is true for the point.
Hence, the third graph represents this equation.
2. 3x-2y<6
⇒ 0<6
So, the equation is true for the point.
Hence, the first graph represents this equation.
3. 3x-2y>6
⇒ 0>6
So, the equation is false for the point.
Hence, the fourth graph represents this equation.
4. 3x-2y≥6
⇒ 0≥6
So, the equation is false for the point.
Hence, the second graph represents this equation.
Hence, the graphs are matched with the inequalities.
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Since, there are multiple questions so, the question answered above is attached below.
Suppose a department contains 10 men and 15 women. a) How many ways are there to form a committee of 6 people from the department? Explain your answer. b) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is equal to the number of females in the committee? Explain your answer. c) How many ways are there to form a committee of 6 people from the department, if the number of men in the committee is less than the number of females in the committee? Explain your answer.
a) The number of ways to form a committee of 6 people from the department is 177,100.
b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.
c) The number of ways to form a committee of 6 people with more women than men is 91,455.
a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.
The number of ways to choose 6 people from a group of 25 is given by the combination formula:
C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100
Therefore, there are 177,100 ways to form a committee of 6 people from the department.
b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.
The number of ways to choose 3 men from 10 is given by the combination formula:
C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120
Similarly, the number of ways to choose 3 women from 15 is:
C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455
To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:
Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600
Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.
c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.
For 1 man and 5 women:
Number of ways to choose 1 man from 10: C(10, 1) = 10
Number of ways to choose 5 women from 15: C(15, 5) = 3,003
For 2 men and 4 women:
Number of ways to choose 2 men from 10: C(10, 2) = 45
Number of ways to choose 4 women from 15: C(15, 4) = 1,365
The total number of ways to form a committee with more women than men is the sum of these two cases:
Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)
= 10 * 3,003 + 45 * 1,365
= 30,030 + 61,425
= 91,455
Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.
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The first three terms of a geometric sequence are as follows.4 ,20 , 100 Find the next two terms of this sequence.
Answer:
-4, 20, -100, 500, -2500
Step-by-step explanation:
Since this is a geometric sequence, you know that to get from one term to the next, you must multiply the previous term by a constant value. To find this constant value, known as the constant ratio, divide a term by the consecutive previous term (the term right before it). For this sequence, we can divide the second term, 20, by the first, -4, to get a constant ratio of -5. Now we know that to get from one term to the next, you multiply the previous term by -5. Now, apply this to the question: if you have -100 and need to find the next two terms, multiply -100 by -5 to get the fourth term, 500, and multiply that by -5 again to get your fifth term, -2500. So, your next two terms of this sequence are 500 and -2500, making the sequence -4, 20, -100, 500, -2500, and so on.
How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?
Answer:
shook
Step-by-step explanation:
The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.
Can someone help answer this
Answer: 3
Step-by-step explanation:
The answer is 3.
happy to help!
Can someone help me with this :( .
Answer:
The answer is B.
Step-by-step explanation:
because the starting point is 3 and by the use of the slope triangle, you end with 4 for the slope.
Use distributive property to rewrite expression -8((-2-3/4)-8)
you drop a ball off a 50 foot roof to see how long it will bounce. Each bounce loses 10% of the height of its previous bounce. after how many bounces will the ball's height be less than 1 foot?
After 37 bounces, the ball's height will be less than 1 foot.
How many bounces until it is less than 1 foot?The initial height of the ball is 50 feet.
After first bounce, the ball will reach a height of:
= 50 feet * (1 - 10%)
= 45 feet.
After second bounce, it will reach a height of:
= 45 feet * (1 - 10%)
= 40.5 feet.
Height decreases by 10% after each bounce.
We have to set up an equation:
50 feet * (0.9)^n < 1 foot
Simplifying:
0.9^n < 1/50
Taking the logarithm:
n * log(0.9) < log(1/50)
n > log(1/50) / log(0.9)
n > 37.1298771746
n > 37.13.
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PLEASE HELP ASAP! WILL MARK BRAINLIEST!!
Answer:
C. y=10x + 5
Step-by-step explanation:
y=10(2)+15
y=20+5
y=25 and x=2
This is the only one that works.
Answer:
I got D
Step-by-step explanations
I did y2-y1/x2-x1
I did 40-25/5-2 which will equal to 15/3=5
then I did 25=2x+b
25=2(5)+b
25=10+b
subtract 10
then you will get 15
So it will be y=5x+15
if I am wrong please correct me thanks :)
A set of bicycle prices are normally distributed with a mean of 300 dollars and a standard deviation of 50 dollars.
A sports bicycle has a price of 380 dollars.
What proportion of bicycle prices are lower than the price of the sports bicycle?
You may round your answer to four decimal places.
Answer:
0.9452
Step-by-step explanation:
Answer for Khan academy
The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
We can start by standardizing the sports bicycle price using the formula:
z = (x - μ) / σ
where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.
Substituting the values, we get:
z = (380 - 300) / 50 = 1.6
Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.
From the z-table, we find that this proportion is approximately 0.9452.
Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.
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The equation a/5=bc represents a(n) ______ variation.
a.combined
b.inverse
c.joint
d.direct
Answer:
B
Step-by-step explanation:
I guessed