Select the TWO units that would be reasonable to use to measure the length of a pencil.
1- Centimeters
2- inches
3- yards
4- miles
Answer:
1 and 2
Step-by-step explanation:
I hope this helps you out!
centimeters and inches!
help me
The fire department is setting off fireworks. They notice that the casings of the fireworks hit the ground 78 seconds after the firework was launched. The firework exploded at a maximum height of 760.5 meters.
Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)
The firework is an illustration of the equation of a parabola.
The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
The casings hit the ground after 78 seconds.
This means that, a point on the graph is:
\(\mathbf{(x,y) = (78,0)}\)
The firework exploded at a maximum of 760.5.
This means that, the vertex is:
\(\mathbf{(h,k) = (39,760.5)}\)
The equation of a parabola is:
\(\mathbf{y = a(x - h)^2 + k}\)
So, we have:
\(\mathbf{0 = a(78 - 39)^2 + 760.5}\)
\(\mathbf{0 = a(39)^2 + 760.5}\)
Subtract 760.5 from both sides
\(\mathbf{a(39)^2 =- 760.5}\)
\(\mathbf{1521a =- 760.5}\)
Solve for a
\(\mathbf{a =- \frac{760.5}{1521}}\)
\(\mathbf{a =- 0.5}\)
Substitute \(\mathbf{a =- 0.5}\) and \(\mathbf{(h,k) = (39,760.5)}\) in \(\mathbf{y = a(x - h)^2 + k}\)
\(\mathbf{y = -0.5(x - 39)^2 + 760.5}\)
See attachment for the graph of \(\mathbf{y = -0.5(x - 39)^2 + 760.5}\).
From the graph:
The x and y intercepts are the points where the graph crosses the x and y axes. The vertex is the maximum point on the graphFrom the equation:
Set x to 0, to calculate the value of y for the y-interceptSet y to 0, to calculate the value of x for the x-intercept.The vertex is represented as: (h,k)Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
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A total of 9,450 students attend Sonoma College. Administrators at the college want to estimate the percentage of all Sonoma College students who read for pleasure on a regular basis. To do this, they survey 375 randomly selected students, and they find that in this randomly selected sample, 29% of the surveyed students indicate that they read for pleasure on a regular basis. If we use the quick method to estimate the margin of error for this survey, that margin of error would be approximately
The estimated margin of error for the survey of the students would be 5%.
Margin of error is a percentage that reflects the degree of inaccuracy inherent in the sample of any survey. It suggests how far the sample estimate is likely to be from the real population value. It gives a measure of the quality of a sample, indicating how far it is from a true representation of the population.
The quick method to estimate the margin of error for a survey with a 95% level of confidence is:
ME = 1 / √n
Where, ME = Margin of error and n = Sample size
Using the given data, the sample size n = 375
Thus,
ME = 1 / √375 = 0.0519 ≈ 5%
Therefore, the estimated margin of error would be approximately 5%.
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T = kPV solve for p. literal equations
Answer:
T/(kV) = P
Step-by-step explanation:
Step 1: Write equation
T = kPV
Step 2: Solve for p
Divide both sides by kV: T/(kV) = PAnswer:
P = T/(kV)
Step-by-step explanation:
Divide by the coefficient of P.
\(T=kPV\\\\\dfrac{T}{kV}=\dfrac{kPV}{kV}\\\\\dfrac{T}{kV}=P\\\\\boxed{P=\dfrac{T}{kV}}\)
PS
Mike has attempted 84 free throws. Of those attempted,
63 have gone in the basket. Based on this rate, what is the
probability that Mike's next free throw attempt will go in
the basket?
Answer:
63 ÷ 84 = 0.75 // 75% // 3/4
Step-by-step explanation:
63 divided by 84 equals 0.75, 75%, or 3/4. meaning the probability of Mike making his next free throw 75%
What is the probability of rolling a five on the first die and a one
Answer:
The probability is 1216 chance, which is approximately a 0.46% chance
please help me im stuck
Answer:
a = -0.5
Step-by-step explanation:
\( \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow
\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5\)
PLZ HELP!!!! I JUST NEED AN ANSWER NOT AN EXPLANATION!!! I WILL GIVE BRAINLIEST TO THE CORRET ANSWER
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
a is subset of b. b must include everything a has and at least one additional element. how many ways can a and b have subsets?
The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).
Subset Ways CalculationA set is a collection of distinct objects, and a subset is a set that contains only elements that are also in another set. If set A is a subset of set B, then all elements of A are also elements of B.
The number of subsets of a set with n elements is 2^n. So, if set A has n elements and set B has m elements (where m > n), the number of subsets of A is 2^n and the number of subsets of B is 2^m. The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).
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solve each equation for the given variable 21.5 + z = -52.9
Answer:
-74.4
Step-by-step explanation:
What is the standard form of the linear function that passes
through the points (4, 1) and (2, -2)?
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-3}{-2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4})\)
\(\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y-1)=2\left( \cfrac{3}{2}(x-4) \right)}\implies 2y-2 = 3(x-4)\implies 2y-2=3x-12 \\\\\\ -3x+2y-2=-12\implies -3x+2y=-10\implies \stackrel{\times -1\textit{ to both sides}}{3x-2y=10}\)
probability distributions whose graphs can be approximated by bell-shaped curves
The probability distributions whose graphs can be approximated by bell-shaped curves are commonly known as normal distributions or Gaussian distributions.
These distributions are characterized by their symmetrical shape and the majority of their data falling within a certain range around the mean. The normal distribution is widely used in statistics and is a fundamental concept in many fields of study, including psychology, economics, and engineering. The normal distribution is also known for its many practical applications, such as predicting test scores, stock prices, and medical diagnoses. In summary, the bell-shaped curve is a useful tool in probability theory that can help us understand and make predictions about a wide range of phenomena. The probability distributions whose graphs can be approximated by bell-shaped curves are called Normal Distributions or Gaussian Distributions. They have a symmetrical shape and are characterized by their mean (µ) and standard deviation (σ), which determine the central location and the spread of the distribution, respectively.
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Can some please help me with this question
The subject is functions
The value of f(x).g(x) is 3x² -17x + 10. The correct option is the last option 3x² -17x + 10
Evaluating functionsFrom the question, we are to determine the value of f(x).g(x)
From the given information, we have that
f(x) = 3x - 2
and
g(x) = x - 5
Thus,
f(x).g(x) = (3x -2)(x -5)
Simplify the expression
(3x -2)(x -5)
Apply the distributive property
3x(x -5) -2(x -5)
3x² -15x -2x + 10
Simplify further
3x² -17x + 10
Hence, the value of the given function, f(x).g(x) is evaluated to be 3x² -17x + 10.
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A shopkeeper compares the income from sales of a laptop in june and july Price 1/6 more than June Numbers sold 1/3 less than June By what fraction does the income from these sales decrease in July
Using proportions, it is found that the fraction by which these sales decrease in July is:
2/9.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division in the context of the problem.
In the context of this problem, it is found that;
The price is of 1/6 more than June, that is, 1 + 1/6 = 7/6 of June's amount.The number sold is 1/3 less than June, that is, 1 - 1/3 = 2/3 of June's amount.The income is the multiplication of the number sold by the price, hence:
Income = 7/6 x 2/3 x n = 14/18n = 7/9n.
June's amount is given by:
n.
Hence the decrease fraction is:
1 - 7/9 = 9/9 - 7/9 = 2/9.
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During a scuba dive, Lainey descended to a point 18 feet below the ocean surface. She continued her
descent at a rate of 18 feet per minute. Enter an inequality you could solve to find the number of minutes
she can continue to descend if she does not want to reach a point more than 78 feet below the ocean
surface. Use t to represent the variable for the minutes Lainey can continue to descend.
Answer:
I need Help on this one too.
Step-by-step explanation:
I am a Scuba Diver Haha But please help
If FH and IK are parallel lines and mIJL = 65°, what is mFGJ?
Answer:
m FGJ = m IJL
( they are pair of corresponding angles )
so, FGJ = 65°
given a closed box, where the length is twice the height, the width is 10 meters less than the length, and the surface area is 10 times the width times the height, what are the dimensions?
So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
We can use the information provided in the problem to set up a system of equations. Let H be the height, L be the length, and W be the width.
From the problem, we know:
L = 2H (the length is twice the height)
W = L - 10 (the width is 10 meters less than the length)
2HW + 2LW + 2LH = 10WH (the surface area is 10 times the width times the height)
We can substitute the first and second equations into the third one to obtain:
2H(2H-10) + 2(2H)(2H-10) + 2(2H)(2H) = 10H(2H-10)
Solving this equation we get H = 10m
With this value we can solve for the other dimensions:
L = 2H = 2 * 10 = 20m
W = L - 10 = 20 - 10 = 10m
So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
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So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
We can use the information provided in the problem to set up a system of equations. Let H be the height, L be the length, and W be the width.
From the problem, we know:
L = 2H (the length is twice the height)
W = L - 10 (the width is 10 meters less than the length)
2HW + 2LW + 2LH = 10WH (the surface area is 10 times the width times the height)
We can substitute the first and second equations into the third one to obtain:
2H(2H-10) + 2(2H)(2H-10) + 2(2H)(2H) = 10H(2H-10)
Solving this equation we get H = 10m
With this value we can solve for the other dimensions:
L = 2H = 2 * 10 = 20m
W = L - 10 = 20 - 10 = 10m
So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
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Bias can occur in sampling. Bias refers to ___ A. The tendency of a sample statistic to systematically over-or underestimate a population parameter B. The creation of strata, which are proportional to the size C. The use of cluster sampling instead of random sampling D. The division of the population into overlapping groups
The creation of strata, which are proportional to the size
What is Sampling?
Sampling refers to the process of selecting a subset of individuals or items from a larger population, in order to study and draw conclusions about the population. Sampling is often used in research, marketing, and other fields to collect data from a smaller group, which is then analyzed to make inferences or predictions about the larger population.
There are several different methods of sampling, including random sampling, stratified sampling, cluster sampling, and convenience sampling. Each method has its own strengths and weaknesses, and the choice of sampling method will depend on the research question, the size of the population, and other factors.
A sample is biassed when it does not accurately reflect the population that it is supposed to represent. A sample statistic (such the sample mean or proportion) that consistently overvalues or undervalues the real population parameter can result from this. The sample technique, sampling frame, and nonresponse are only a few examples of the variables that might lead to bias. In order for the sample to effectively represent the population and for valid statistical inferences to be formed, sampling bias must be minimised.
Hence, The creation of strata, which are proportional to the size.
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consider the functions f(x)=x^2 and g(x) = sqrt(x) (a) use linear approximation to approximate the value of f(3.01)
Using linear approximation, the value of f(3.01) can be approximated by evaluating the tangent line to the function f(x) = x^2 at x = 3 and using it to estimate the value at x = 3.01.
Linear approximation is a method used to estimate the value of a function near a specific point by considering the tangent line at that point. The tangent line is a linear function that approximates the behavior of the original function in the vicinity of the point.
To approximate f(3.01) using linear approximation, we start by finding the slope of the tangent line at x = 3. This can be done by taking the derivative of f(x) = x^2, which is f'(x) = 2x. Evaluating f'(3) gives us the slope of the tangent line at x = 3.
Next, we use the point-slope form of a linear equation to write the equation of the tangent line. Plugging in the values x = 3, y = f(3) = 9, and the slope from f'(3), we can determine the equation of the tangent line.
Finally, we evaluate the tangent line at x = 3.01 to approximate the value of f(3.01). This can be done by substituting x = 3.01 into the equation of the tangent line and solving for y. The resulting value is an approximation of f(3.01) using linear approximation.
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At least one of the answers nbove is NOT carrect, (1 poini) A man has 38 ceing in his pocket, all of which are dimes and quarteri. to the totat valus of his change is 615 oents, how mair dirtes and how many quarters does he have? Your answor is number of dimant equals ruriber of quaters nquanis Note: You can earn partial crecif on this problem
The man has 23 dimes and 15 quarters.
Let's assume the number of dimes is represented by 'd' and the number of quarters is represented by 'q'.
According to the information given in the problem, we have two equations:
Equation 1: d + q = 38 (since the total number of dimes and quarters is 38)
Equation 2: 10d + 25q = 615 (since the total value of dimes and quarters is 615 cents)
We can solve this system of equations to find the values of 'd' and 'q'.
Let's multiply Equation 1 by 10 to eliminate 'd':
10d + 10q = 380
Now, subtract this equation from Equation 2:
10d + 25q - (10d + 10q) = 615 - 380
15q = 235
q = 235/15
q ≈ 15.67
Since we can't have a fractional number of quarters, we'll round down to the nearest whole number:
q ≈ 15
Now, substitute the value of 'q' back into Equation 1 to find 'd':
d + 15 = 38
d = 38 - 15
d = 23
Therefore, the man has 23 dimes and 15 quarters.
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There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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PLEASE HELP!!!
Kathy can swim 45 meters in 30 seconds. At that rate, how far can she swim in 90 seconds?
Answer:
135 meters/90 seconds
Step-by-step explanation:
Kathy swims 45 meters in 30 seconds. Divide 90 with 30:
90 seconds/30 seconds = 3 seconds/1 seconds.
Multiply 45 meters with 3 to get the amount she swam in 90 seconds:
45 x 3 = 135
135 meters is your answer.
~
WILL GIVE BRAINLIEST WHAT IS THE FORMULA FOR SURFACE AREA
Answer:
Hi! The formula for surface area is:
area = 2lw + 2lh + 2hw
(l = length, w = width, h = height.)
Hope this helps! :)
Maria walked 4.035 kilometers What is 4.035 written in expanded form?
Answer:
four and thirty-five thousandths
PLEASEEE I NEED MORE ANSWERS
Answer:
3 loaves of bread
Step-by-step explanation:
2/3*3=6/3= 2 cups of oil
Jeremiah makes 25% of the three-point shots he attempts. For a warm up, Jeremiah likes to shoot three-point shots until he successfully makes one. Let M be the number of shots it takes Jeremiah to successfully make his first three-point shot. Assume that the results of each shot are independent. Find the probability that Jeremiah's first successful shot occurs on his 3rd attempt. You may round your answer to the nearest hundredth. P(M=3)=
Answer: .14
Step-by-step explanation: Khan Academy
Answer:
0.14
Step-by-step explanation:
First off, please read clearly.
This problem is asking for the probability that (M = 3).
The correct answer for this P(M = 3) problem is 0.14 through Khan Academy.
Even when you solve it, it is 0.14. The equation would be zero point twenty-five multiplied by parenthesis one minus zero point twenty-five closed parenthesis to the power of two. Written out the equation would be the following:
0.25x(1-0.25)^2
*** DO NOT MIX THIS UP WITH A VERY SIMILAR PROBLEM TO THIS. ***
There is a problem using this same Jeremiah situation but it asks for P(M < 4).
If you want the answer for P(M < 4) it is 0.58 so
P(M < 4) = 0.58
And another Jeremiah problem that asks for P(M > 6).
If you want the answer for P(M > 6) it is 0.18 so
P(M > 6) = 0.18
Have a nice day :)
what is the probability of rolling a 6 and then a 2 from one die in that order?
and
how many different ways are there to roll 3 dice??
*PLEASE ANSWER ASAP*
Answer:
1/36 and 216
Step-by-step explanation:
The probability of rolling a 6 or a 2 on either piece of dice is 1/6. Therefore, 1/6x1/6= 1/36.
When rolling three dice, we also need to consider the fact that there is a 1/6 chance of rolling any number. 6x6x6= 216.
Oscar is buying soil for his plants. He needs to fill one pot with 8 cups of soil and another pot
with 3 gallons of soil. If the price of soil is $2.50 per quart, how much, in dollars, will he pay in
all? You may use the conversions to help you answer the question.
Answer:
10
Step-by-step explanation:
2.50 4 times
Answer: 10
Step-by-step explanation:
Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5
Answer:
0+5=5
Step-by-step explanation: If u add nothing then it stays like that
Answer:
5
Explanation:
I'm a goat so I know everything
Please show all of the work you did.
9514 1404 393
Explanation:
RS ≅ RU . . . given
RT ≅ RT . . . reflexive property
TS ≅ TU . . . definition of midpoint
ΔRTS ≅ ΔRTU . . . SSS postulate