Answer:
11/12
Step-by-step explanation:
2/3 to 8/12
1/4 to 3/12
8/12+3/12=11/12
Answer:
11/12
Step-by-step explanation:
hi! let's start off by finding the LCM to find a common denominator for these fractions. the LCM of 3 and 4 is 12. so, we can look at what we need to multiply each denominator by to get 12.
3*4 is 12 and 4*3 is 12, so we have to multiply the first fraction by 4/4 (which is equivalent to 1) and we have to multiply the second fraction by 3/3.
this becomes 8/12 and 3/12, which are equivalent to their original forms.
now, we can add these by adding the numerators and keeping the denominators the same.
(8+3)/12
11/12
theres your answer!
What are the numbers I’m supposed to mark
Answer:
12 ÷(15) = -2
-15 ÷(-3) = 5
Answer:
12 divided by -6 is -2
-15 divided by -3 is 5
Step-by-step explanation:
a positive and a positive equals positive
a negative and a negative equals a positive
a negative and a positive equals a negative
this only works for multiplication and division
hope this helps
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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What is the measure of each exterior angle of the right triangle?
x =
y =
z =
Answer:
x = 90
y = 134
z = 136
Step-by-step explanation:
Sum of interior angles of a triangle are 180
Linear angles are 180
So 180 - 90 = 90
180 - 44 = 136
180 - 90-44 = 46
180 - 46 = 134
Select the statement that is not true.
A. The translation of a line is a pair
of parallel lines.
B. The rotation of a pair of parallel lines is a pair of parallel lines.
C. The reflection of a line is a line.
D. The rotation of a line is a line.
Please someone help me!!
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
Given,
Two triangles
Triangle ABC and Triangle DEF ; These are similar triangles
That is,
AB = DE, BC = EF, AC = DF
Here,
AB = 3
BC = 4
1. EF = 12
AB/BC = DE/EF
3/4 = x/12
x = (12 x 3) / 4
x = 3 x 3 = 9
Length of side DE = 9
DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15
Now,
2. DF = 7.5
AB/BC = DE/DF
3/4 = x/7.5
x = (7.5 x 3) / 4
x = 5.625
Length of side DE = 5.625
EF = \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96
Next,
3. DE = 7.5
AB/BC = DE/DF
3/4 = 7.5/x
x = (7.5 × 4) / 3 = 30/3
x = 10
Length of side DF = 10
EF = \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61
That is,
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
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The images below show a picture of ricoffy tin container with no dimensions indicated.the container is 2,5 times smaller than what it is in reality. Measure the diameter of the tin in mm and write down the real diameter in mm
The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
What is the measurement of the diameter?Determining the diameter of tin:
Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.
Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.
Here we have
A ricoffy tin container with no dimensions indicated
Let d and h be the diameter and height of the tin
Given that the container is 2/5 times smaller than d
then the diameter of the tin in the picture \(= d - 2/5(d)\)
\(= [5d - 2d]/5 = 3d/5\)
Therefore, The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
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Can someone help me solve this?
Answer:
2313
Step-by-step explanation:
Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.
The intersection of sets M and F contains the elements "c" and "d".
To find the intersection of sets M and F, we need to identify the elements that are common to both sets.
M = {a, b, c, d}
F = {c, d, e, f}
The intersection of M
and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.
Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".
Therefore, the intersection of M and F can be expressed as:
M ∩ F = {c, d}
So, the intersection of sets M and F contains the elements "c" and "d".
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Which of the following are solutions to the inequality below? Select all that apply. 89 < 12 h
Answer:
7.4 < h
Step-by-step explanation:
89 < 12h
Divided both sides by 12
7.4 < h
The answer is:
⇨ h > 7.417Work/explanation:
The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.
So I divide each side by 12
\(\bf{7.417 < h}\)
Hence, h > 7.417Identify the correct conclusion. Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.
The question is incomplete. The complete question is :
Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.
Solution :
Given :
Drugs Placebo
Headaches 11 7
No headaches 73 91
The results of the test are :
\($X^2=1.798$\)
The P value is given as = 0.1799
The hypothesis test given for dependent or association between the two variables.
\($H_0$\) : There is no association between the treatment and the reaction
\($H_1$\) : There is association between the treatment and the reaction.
If the P value is greater than the alpha value, i.e. when
P value > α (0.05), then we reject the \($H_0$\).
Therefore, Do not \($\text{reject the null hypothesis}$\). Report that \($\text{there insufficient}$\) evidence to conclude that \($\text{treatment}$\) as well as \($\text{reaction are dependent}$\).
a recipe call for 3 cups of flour and 2 tablespoons of butter .How many tablespoons of butter would be needed if the amount of flour were increased to 12 cups
Answer:
8 tablespoons of butter.
Step-by-step explanation:
12/3= 4
4x2= 8
What are the x intercepts
The x-intercepts are (4,0)(5,0) of the following graph.
What is x-intercepts?In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.
To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.
What is y-intercepts?In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.
To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.
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Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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In April and May of 2011, the Pew Research Center surveyed cell phone users about voice calls and text messaging. They found that 55% of those who send 51 or more text messages per day prefer to be contacted by text message rather than by a voice call. The margin of error for this sample was 5.7%. What does this margin of error tell you about the results of the survey
Step-by-step explanation:
The margin of error is a statistical tool used to describe how a set off sample data that is being analyzed will accurately correspond with the overall data.
Basically, the margin of error explains how accurate and effective the result from the analysis or a survey is.
This means that the large the margin of error the less accurate the result will be.
An acceptable margin of error typically falls between 4% and 8% at the 95% confidence level.
The margin of error for this sample was 5.7% this means that
49.3% (= 55% – 5.7%) and
60.7% (= 55% + 5.7%)
of cell phone users will prefer to be contacted by text message
Answer each part. If necessary, round your answers to the nearest hundredth.(a) Bob runs 10 miles in 79 minutes.How many miles does he run per minute?miles per minute i need help with this problem
You know that Bob runs 10 miles in 79 minutes.
Let be "x" the number of miles Bob runs per minute.
You can set up the following proportion using the data provided in the exercise:
\(\frac{10}{79}=\frac{x}{1}\)Solve for "x", in order to find its value:
\(\frac{10}{79}=x\)\(x\approx0.13\)Hence, the answer is:
\(\approx0.13\text{ }miles\text{ }per\text{ }minute\)
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows.
Production Requirement by Product
Department
(hours)
Departmental Capacity
(total hours)
A
B
Assembling
2
30,000
Painting
1
38,000
Finishing
2
28,000
What is the maximum profit in this model?
3
ONN
2
1
O A. $57,000
OB. $95.000
C. $225,000
D. $75,000
9514 1404 393
Answer:
C. $225,000
Step-by-step explanation:
The utilization for each department must be at most the available capacity. Each product quantity must be non-negative.
You could almost guess the answer here because the profit on product C is so much higher than for the others.
Profit is maximized by producing as much of product C as possible. That quantity is limited by the assembly hours constraint: 2C ≤ 30,000. This permits production of 15,000 units, so gives a profit of ...
$15·15,000 = $225,000 . . . maximum profit
Help 100 plus brainiest
Answer:B.The constant of proportionality is 3. In the table the constant of proportionality is represented by the y-value when the x-value is 1. On a graph, the constant of proportionality represents the steepness of the line.
This is the answer because all of the Y's can be divided by X and equal three.
3 divided by 1 is 3, 15 divided by 5 is 3, 24 divided by 8 is 3, and 27 divided by 9 is 3.
This means that there is a constant rate, which is the proportionality,3. This is also represented by our first X and Y value. X is 1 and Y is 3, which means that the word length increases by 3.
I hope this helped & Good Luck <3!!!!
Correct answer is B.
Step-by-step explanation:So this table represents a set of values related by a constant of proportionality. This constant is just the value of the slope created when the values from the "x" and "y" axis are plotted into a two-dimensional graph.
1. Choose 2 random ordered pairs (OP) from the table.Notation: (x, y)
OP 1: (1, 3)
OP 2: (5, 15)
2. Calculate the slope.Slope formula: \(m=\frac{y_{2} -y_{1}}{x_{2} -x_{1} }\)
Substituting in the formula and calculating:
\(m=\frac{(15) -(3)}{(5) -(1)}\\ \\m=\frac{12}{4} \\ \\m=3\)
3. Choose the correct answer.This value for the slope, or contant of proportionality, is enough to determine the correct answer. Correct answer is answer B.
4. Analyze.This constant represent the relation between the word length (x) and the score (y) is 3. Therefore, each time a word length increases one time, the score increases 3 times as much.
5. Graph of the function.Chech the attached image.
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could someone give me these answers, iv been trying to do it dor the past month and i cant. i have 28 days left to complete it
could someone give me these answers, iv been trying to do it dor the past month and i cant. i have 28 days left to complete it
Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points \(\left( x_1,\,y_1,\,z_1\right)\) and \(\left( x_2,\,y_2,\,z_2\right)\) is
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2\)
\(d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50\)
What is the surface area of the prism
Answer:
204 mm.
Step-by-step explanation:
To find the surface area, add together the area of each side. To find the area of the rectangular sides, multiply 15 mm by 3.
15*3= 45
Since there are 4 rectangular sides, multiply your answer by 4.
45*4=180
Next, to find the square sides, multiply 4 mm by 3.
4*3=12
Since there are 2 square sides, multiply your answer by 2.
12*2=24
Finally, add your answers together to find the total surface area.
180+24=204
Which two numbers multiply to -52 and add to 24?
Answer: -2 and 26
Step-by-step explanation:
-2 * 26 = -52
-2 + 26 = 24
Answer:
-2 and 26
Step-by-step explanation:
Use ΔDEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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The growth of the population of Austin, Texas since 1900 can be modeled using the equation y = 25,145e0.0327x, where x is the time since 1900 and y is the population.
According the model, the population in 1940 was approximately
93,000
Using the model, the population will reach 1,221,796 in the year 2018
Answer:
93000 and 2018
Step-by-step explanation:
After basketball practice, 8 players equally shared 3 water bottles of water. What fraction of a bottle did each player get?
Answer:
3/8
Step-by-step explanation:
You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.
What is the value of | 3 | (PLEASE HELPP!!)
A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was recorded. The results were as follows: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Occupants 1 2 3 4 5 Number of Cars 64 19 12 3 2 Find the sample median number of occupants.
Answer:
The sample median number of occupants is 1.
Step-by-step explanation:
Median:
The measure that separates the lower half of the distribution from the upper half.
In this question:
Total of 100 cars.
64 have 1 occupant.
19 have 2 occupants
12 have 3 occupants
3 have 4 occupants
2 have 5 occupants.
Median:
In the cumulative distribution
100/2 = 50
While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.
The sample median number of occupants is 1.
Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 (a) Suppose the number 26 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 26 to x of the original data set and divide by 6. (Round your answer to two decimal places.) (b) Suppose the number 20 is included as an additional data value in Set B. Compute x for the new data set. (Round your answer to two decimal places.) (c) Why does the addition of the number 20 to each data set change the mean for Set A more than it does for Set B? 1) Set B has a smaller number of data values than set A, so to find the mean of B we divide the sum of the values by a larger value than for A. 2) Set B has a larger number of data values than set A, so to find the mean of B we divide the sum of the values by a smaller value than for A. 3) Set B has a smaller number of data values than set A, so to find the mean of B we divide the sum of the values by a smaller value than for A. 4) Set B has a larger number of data values than set A, so to find the mean of B we divide the sum of the values by a larger value than for A.
(a) The new x for Set A is 12.00.
(b) The new x for Set B is 10.04.
(c) The addition of the number 26 to each data set changes the mean for Set A more than it does for Set B because Set A has a smaller sample size than Set B.
So the Correct answer is option 4.
When a new value is added to a smaller data set, it has a larger impact on the mean than when added to a larger data set, because the new value represents a larger proportion of the overall data set. This means that adding 26 to Set A had a more significant effect on its mean than adding 26 to Set B.
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ejemplos de fisica teorica
Answer:
running
Step-by-step explanation:
2. If x¹¹+101 is divided by x + 1, then what remainder do we get?
Answer:
Step-by-step explanation:
To get the remainder of (x-(-1)) we need to evaluate for -1,
\((-1)^{11}+101=-1+101=100\)
So if this is divided by x+1, it means that we can write
\(x^{11}+101=(x+1)P(x)+R\\\\so \ for \ x = -1\\\\(-1)^{11}+101=100=0*P(-1)+R=R\\\\\text{So the remainder is 100 !!}\)
thanks