Answer:
3rd one
Step-by-step explanation:
Question 5
Maria can bake 35 cookies in of an hour. How many cookies can
she make in 4 hours?
Answer:
140
Step-by-step explanation:
just mutiply 35 by 4, thats h0w i g0t it anyways, h0pe this helped :)
Answer:
its 140 in 4 hours
Step-by-step explanation:
hope this helps!
Eric rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 74 cents for each mile driven. Eric had to pay 171.91 when he returned the truck. For how many miles did he drive the truck?
Answer:
204
Step-by-step explanation:
→ Write an equation
20.95 + 0.74m = 171.91
→ Minus 20.95 from both sides
0.74m = 150.96
→ Solve
m = 204
Answer:
204
Step-by-step explanation:
20.95+.74x=171.91
subtract 20.95 on both sides
0.74x=150.96
divide by 0.74 on both sides
x=204
Three professors at a university did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the campus. 42% were returned overall. From the economics classes 58% of the envelopes were returned. From the business, psychology, and history classes 32% were returned. • R = money returned • E = economics classes • O = other classes1. ) Write a probability statement for the overall percent of money returned.
2. ) Write a probability statement for the percent of money returned out of the economics classes. 3. ) Write a probability statement for the percent of money returned out of the other classes.
According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
What is meant by probability?Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.
Let the money returned = R
economics classes = E
other classes = O
a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)
b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)
c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).
d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.
e). According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
The complete question is:
Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.
From
the business, psychology, and history classes 31% were returned.
Let: R = money returned; E = economics classes; O = other classes
a. Write a probability statement for the overall percent of money returned.
b. Write a probability statement for the percent of money returned out of the economics classes.
c. Write a probability statement for the percent of money returned out of the other classes.
d. Is money being returned independent of the class? Justify your answer numerically and explain it.
e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.
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2x-4<6
what is the solution to this inequlity
Answer:
x < 5
Step-by-step explanation:
\(2x - 4 < 6\)
\(2x < 10\)
\(x < 5\)
.........................................................
How might you prove your observations in Question 2 using algebra and x and y-coordinates? Briefly outline an approach using what you know about a midpoint and the slope of a line.
Answer:
I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.
Answer:
I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.
Step-by-step explanation:
Here is the answer from Plato! Hope this helps :)
Find the quotient. (3. 683 × 104) (7. 51 × 1012) What is the solution in scientific notation? 4. 9041 × (-9)10 4. 9041 × 10-9 4. 9041 × 109 4. 9041 × 910.
The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).
We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).
\(\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}\)
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A normal distribution has a mean of µ = 40 with Ï = 10. What proportion of the scores in this distribution are smaller than X = 35?â a. â0.3085 b. â0.6915 c. â0.9332 d. â0.0668
We need to calculate the z-score and then use a z-table to find the proportion of scores smaller than X = 35 in the normal distribution with a mean (µ) of 40 and a standard deviation (σ) of 10.
The z-score formula is: z = (X - µ) / σ
For X = 35, µ = 40, and σ = 10, the z-score is:
z = (35 - 40) / 10 = -0.5
Now, you need to look up the z-score (-0.5) in a z-table, which gives you the proportion of scores smaller than X = 35. The value associated with a z-score of -0.5 is 0.3085.
So, the correct answer is: a. 0.3085
Now, we can use the standard normal distribution table or a calculator with a normal distribution function. We know that the mean of the distribution is 40 and the standard deviation is 10. We want to find the proportion of scores that are smaller than X = 35.
First, we need to standardize the value of 35 using the formula:
z = (X - µ) / Ï
where X is the value we want to standardize, µ is the mean, and Ï is the standard deviation.
Plugging in the values we have:
z = (35 - 40) / 10 = -0.5
This means that a score of 35 is 0.5 standard deviations below the mean.
Next, we can use the standard normal distribution table or a calculator to find the proportion of scores that are smaller than z = -0.5. Using the table or calculator, we find that this proportion is 0.3085.
Therefore, the answer is (a) 0.3085.
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How do you find the answer to 7/24 x16/24
Answer:
7/36
Ask me if you need the steps (:
which cases describes how one would determine if the two analytical techniques yield results that differ at a given confidence level?
Replicate measurements of a sample made by a single technique that is compared with an accepted value and the confidence level describes the analytical techniques. Thus, option A is correct.
Repetition measurements are made during the same experimental run or across several runs, whereas duplicate measurements are made during identical but distinct experimental runs. Replica measurements are response measurements carried out at the same set of factor values.
The size of the confidence level depends upon the value we identify on the population parameter estimation. It is also used to describe the probability in analytical techniques and it is used to measure two different techniques at equal intervals of time.
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The complete question is-
Which case describes how an instructor would determine if two results differ at a given confidence level?
A. Replicate measurements of a sample made by a single technique are compared with an accepted value.
B. Either compare replicate measurements of one sample made by two analytic techniques or compare samples created from two synthesis techniques measured
by one analytic sample.
C. Multiple samples are measured by two different techniques & the results are compared.
Estimate the sum by first rounding each
mixed number to the nearest whole number
and then adding.
5 and 3/8 + 4 and 7/10
If you took $1,000 and put it into an interest-bearing savings account compounding quarterly at 3%, how much would your fund be worth at the end of one year?
Answer:
$1007.50
Step-by-step explanation:
Compounded Interest Rate Formula: A = P(1 + r/n)^t
We are given p, r, n, and t. Simply plug them into the formula:
A = 1000(1 + 0.03/4)¹
A = 1000(1.0075)¹
A = 1000(1.0075)
A = 1007.50
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
who wants to be my math tutor for rn plz? i'll give u extra points if u help me for awhile? whos willing to do it?? like actually tho??
Andre received and spent money in the following ways last month. He owed $65. After that He earned $78 dollars selling lemonade. After that he spent $7 on lunch. How much money does Andre have left? ENTER NUMERICAL ANSWER ONLY NO UNITS OR LABELS
Answer:
136
Step-by-step explanation:
$78+65
=143
Now
$7 on lunch=143-7
136
hope it helps u
find the sum or difference
\( \frac{5}{10} - \frac{3}{10} \)
Answer:
0.2
Step-by-step explanation:
Or 2/10. is that right?
what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
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What is the opposite of each number?
Drag the answer into the box to match each number.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
0.005
12
0
−2
Answer:
0.1 == -0.1
1/7 == -1/7
10 == -10
-7 == 7
Step-by-step explanation:
I took the test
The opposite of the numbers 0.005, 12, 0, -2 are -0.005, -12, 0, 2 after changing the sign of the number.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The numbers are:
0.005, 12, 0, -2
As we know, from the definition of the number, a number is a mathematical entity that can be used to count, measure, or name things.
The opposite of any number can be obtained by changing the sign of the number.
The opposite of the number 0.005 is -0.005
The opposite of the number 12 is -12
The opposite of the number 0 is 0
The opposite of the number -2 is 2
Thus, the opposite of the numbers 0.005, 12, 0, -2 are -0.005, -12, 0, 2 after changing the sign of the number.
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In the coordinate plane, line p has slope 1/3 and y-intercept (0, 2). Line r is the result of dilating line p by a factor of 3 centered at the origin. What are the slope and y-intercept of line r?.
The line r has a slope 1/3 and y-intercept (0,5)
What is the Dilation?
Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.
Given
The slope of the line and its intercept (0,2)
The slope of the line r will not change.
And intercept is the addition of their ordinate will be.
Intercept = 2+3
Intercept = 5
So, the line r has slope 1/3 and y-intercept (0,5).
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How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, lengths 3 1/3 inches, and height 2 1/3 inches?
Answer:
560 cubes
Step-by-step explanation:
width: 8 cubes
length: 10 cubes
height: 7 cubes
volume: 8*10*7=560
divided l, w, and h by 1/3 to get them in cubes
Answer:
Step-by-step explanation:
The awnser is multiply by 9 then multiply by 2
It’s another part to it all I need is 6 A. And B. And 7 D. that’s all I need to be exempt from exams Its due in a couple of hours plz I need this answers asap please someone help
Answer:
3911
Step-by-step explanation:
1×3 +2×6+3×9=327
2×128+4×256+6×348=3584
3584+327=3911
a sample from a refuse deposit near the strait of magellan had 60% of the carbon-14 of a contemporary sample. how old was the sample. round to the next whole year.
The age of the decaying sample according to the decay formula is 42,009 years.
The rate of radioactive carbon-14 decay depends on the function
\(A(t) = A_{0} e^{-0.0001216t}\)
where \(A_{0}\) is the quantity found in living plants and animals, t is in years, and is the age.
60% of the carbon-14 of a current-day sample was present in a sample taken from a refuse deposit close to the Strait of Magellan. We need to evaluate the age of the sample,
A = 60 % of \(A_{0}\) = (3/5)\(A_{0}\)
Putting this in the decay equation, we have,
\(\frac{3}{5} A_{0} = A_{0} e^{-0.0001216t}\\\\ 0.6= e^{-0.0001216t}\\ \\ln0.6 = -0.00001216t\\\\-0.51082 = -0.00001216t\\\\t = 42,008.68\)
Thus, the age of the sample is 42,009 years.
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ealth insurers are beginning to offer telemedicine services online that replace the common office visit. wellpoint provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. wellpoint claims that users of its livehealth online service saved a significant amount of money on a typical visit. the data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by wellpoint. click on the datafile logo to reference the data. 92 34 40 105 83 55 56 49 40 76 48 96 93 74 73 78 93 100 53 82 assuming that the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a televisit to the doctor as opposed to an office visit. if required, round your answers to two
The 95% confidence interval would be given by (60.554;81.446)
What is a confidence interval?
A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population means that sits between an upper and lower interval is frequently stated as a percentage.
Here, we have
Given Data: 92 34 40 105 83 55 56 49 40 76 48 96 93 74 73 78 93 100 53 82
We can calculate the mean and the deviation from these data with the following formulas:
X = ∑ᵃ 1ⁿxₐn
s = √∑ᵃ = 1ⁿ(xₐ - X)²n -1
X = 71 represents the sample mean for the sample
s=22.35 represent the sample standard deviation
n=20 represents the sample size
The confidence interval for the mean is given by the following formula:
X ± tα/2 - √n...(1)
In order to calculate the critical value tα/2 we need to find first the degrees of freedom, given by:
df = n - 1 = 20 -1 = 19
Since the Confidence is 0.95 or 95%, the value of α = 0.05 and α/2 = 0.025
and we can use excel, a calculator, or a table to find the critical value. The excel command would be:
tα/2 = 2.09
Now we have everything in order to replace into formula (1):
71 - 2.09- 2.35√20 = 60.554
71 + 2.09- 2.35√20 = 81.446
Hence, the 95% confidence interval would be given by (60.554;81.446).
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Can someone help? Im brand new to Sigma notation.
sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs. let be be the number of boxes sharice needs write a multiplication equation to describe the situation. You gave me his answer but it his blanked out I can not see it
Answer:
Equation: 8b=144
Step-by-step explanation:
I am doing the i-ready
the answer is below
Chau reads a book at a rate of 26 chapters per hour how many chapters does he read in 2 hours
Answer: he reads 52 chapters in 2 hours.
Step-by-step explanation:
Since he reads 26 chapters per hour, multiply the number of chapters by the number of hours which is two.
26 * 2 = 52
he reads 52 chapters in 2 hours.
Answer:
52 chapters
Step-by-step explanation:
Because he reads 26 chapters in 1 hour and his rate is constant (never changing), multiply 26 by 2 to find how many chapter for 2 hours.
26 x 2 = 52
work out the size of angle x of a triangle
Answer:
x = 46
Step-by-step explanation:
130 is the exterior angle of the triangle,
Its interior angle
= 180 - 130
= 50
96 is the exterior angle of the triangle,
Its interior angle
= 180 - 96
= 84
Now,
x, 50 and 84 are the interior angles,
Sum of interior angles of a triangle is 180,
50 + 84 + x = 180
134 + x = 180
x = 180 - 134
x = 46
Answer:
x = 46 degrees.
Step-by-step explanation:
The base angles are 180 - 96 = 84 degrees
and 180 - 130 = 50 degrees.
As there are 180 degrees in a triangle x = 180 - (84 + 50)
= 180 - 134
= 46 degrees,
Chose the best mental math method to find 7% of $1000.
Select the correct response:
(5% of $1000 is $50) + ( 1% of $1000 is $10) + ( 1% of $1000 is $10) which totals $70
(10% of $1000 is $100) + (5 % of $1000 is $50). Take % of total of $150 is $75
(10% of $1000 is $100) - (5% of $1000 is $50). Multiply by 2 which totals $100
This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.To find 7% of $1000, there are various mental math methods that one can use. One of the best methods is to use a combination of the 5% and 1% methods. Here's how to do it:
Step 1: Find 5% of $1000
5% of $1000 is $50
Step 2: Find 1% of $1000
1% of $1000 is $10
Step 3: Add the two values together
$50 + $10 = $60
Step 4: Find 1% of $60
1% of $60 is $0.60
Step 5: Multiply $0.60 by 7 to get the final answer
$0.60 x 7 = $4.20
Therefore, 7% of $1000 is $4.20.
This method is effective because it breaks down the percentage into smaller parts that are easier to calculate mentally. By finding 5% and 1% separately and then adding them together, you can quickly find the percentage that you need.
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Which of the following equations below is NOT a linear inequality?
Y< 5x2 - 5
y> 3x + 2
Answer:Y< 5x2 - 5 because it will be squared making it an exponential function
Step-by-step explanation:
Suppose a student is about to take an exam that is entirely multiple choice, where each question has 5 answer choices. This student only studied 70% of the material that is covered on this exam, so let us assume that there is a 70% chance that she knows the correct answer to any given question. If she does not know the answer, she will choose an answer at random.
a. If the exam has a total of 30 questions on it, how many questions would you expect her to answer correctly? (3pt)
b. If she answered a question on the exam correctly, what is the probability it was just because she guessed? (3pt)
a) The expectation of the number of questions she would answer correctly is 21 questions. b) If she answered a question on the exam correctly, the probability it was just because she guessed is 7.89%.
a. If the exam has a total of 30 questions on it, we would expect the student to answer correctly 0.7 * 30 = 21 questions.
b. If she answered a question on the exam correctly, the probability it was just because she guessed is 0.3 * (1/5) = 0.06. This is because there is a 30% chance she did not know the answer and a 1/5 chance she guessed the correct answer.
To find the overall probability of answering a question correctly, we can use the law of total probability:
P(correct) = P(knows answer) * P(correct | knows answer) + P(does not know answer) * P(correct | does not know answer)
= 0.7 * 1 + 0.3 * (1/5)
= 0.76
Therefore, the probability that she answered a question correctly just because she guessed is 0.06 / 0.76 = 0.0789, or approximately 7.89%.
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Solve the equation by factoring. 8x^2+10x-7=0
What is the solution set?
Answer:
\(x = - \frac{7}{4} \: \frac{1}{2} \)
Step-by-step explanation:
\(8 {x}^{2} + 14x - 4x - 7 = 0 \\ 2x(4x + 7) - (4x + 7) = 0 \\ (4x + 7)(2x - 1) = 0\)
Answer:
\(\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}\)
Step-by-step explanation:
Given: 8x² + 10x - 7 = 0
When factoring trinomials of the form ax² + bx + c:
multiply the leading coefficient and the last term.find the product factors that add to give you the coefficient of the middle term.rewrite the polynomial with those factors replacing the middle term.1. Split the middle term:
⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]
⇒ 14, -4 [find the product factors that add to the middle term's coefficient]
⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]
2. Factor by grouping:
⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]
⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]
⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]
⟹ (4x + 7)(2x - 1) = 0
3. Separate into 2 cases:
4x + 7 = 02x - 1 = 0
Case 1:
⇒ 4x + 7 = 0 [subtract 7 from both sides]
⇒ 4x + 7 - 7 = 0 - 7
⇒ 4x = -7 [divide both sides by 4]
⇒ 4x ÷ 4 = -7 ÷ 4
⟹ x = \(\bold{-\dfrac{7}{4}}\)
Case 2:
⇒ 2x - 1 = 0 [subtract 1 from both sides]
⇒ 2x - 1 + 1 = 0 + 1
⇒ 2x = 1 [divide both sides by 2]
⇒ 2x ÷ 2 = 1 ÷ 2
⟹ x = \(\bold{\dfrac{1}{2}}\)
Solutions:
\(\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}\)
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