Answer:
116
Step-by-step explanation:
7x-9=803
(add 9 to both sides)
7x=812
(divide by 7)
x=116
Thomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the results as 0.9333 Write this number as a fraction
Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?
Answer:
Roberta will jog 13 laps on the sixth day.
Step-by-step explanation:
In the pattern 3, 5, 7 we can see it is adding 2 each day.
Keep adding 2 until you get to 13, which is the sixth day.
what is the median of this data set? 14,16,18,21,34,60
Answer:
19.5
Step-by-step explanation:
there are two middle values in this data set so you have to add and divide them. 18+21=39
39/2= 19.5
hope this helps ! :)
Answer:
19.5
Step-by-step explanation:
middle is 18 and 21 so we need to take the average of these 2 numbers
18+21=39
39/2=19.5
Two numbers are said to be -------- If they do not have common factor other than 1.
When two numbers have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without any remainder). Relatively Prime is also called "coprime" or "mutually prime".
I think this help you Now thank you
The answer is Co-prime
Hope It Help
which is the greatest Breathe ease Dethe of 357
Answer:
The most efficient way to breathe is by bringing the air down toward the belly. As the diaphragm contracts, the belly expands to fill the lungs with air. “Belly breathing” is efficient because it pulls the lungs downward, creating negative pressure inside the chest
Step-by-step explanation:
how to calculate hyperboloid of one sheet?
The equation of hyperboloid of one sheet: \(\frac{x^{2} }{A^{2} } +\frac{y^{2} }{B^{2} } -\frac{z^{2} }{C^{2} } =1\) which is used to calculate hyperboloid.
The most challenging quadric surface is probably the hyperboloid of a single sheet. For starters, it is puzzling since its equation is quite similar to that of a hyperboloid with two sheets. For information on how to tell them apart, see to the section on the two-sheeted hyperboloid. Its cross portions are also highly intricate equation.
Having said all of that, everyone who has watched The Simpsons, even for the first time, will recognize this form. One-sheet hyperboloids have a striking resemblance to Springfield Nuclear Power Plant cooling towers.
The cross sections of a straightforward one-sheeted hyperboloid with A = B = C = 1.
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a manufacturer drills a hole through the center of a metal sphere of radius 5 inches. the hole has a radius of 3 inches. what is the volume of the resulting solid?
If the radius of the hole is 3 inches than the volume of the resulting solid is 410.29 in³ .
In the question ,
it is given that ,
the manufacturer drills a hole in the metal sphere that has radius of 5 inches ,
the radius of hole in sphere is 3 inches .
the volume of the metal sphere is = (4/3)×π×r³
= (4/3)×π×5³
= 523.33 in³
the volume of the hole of radius 3 inches is = (4/3)×π×3³
= 113.04 in³
So , the volume of the remaining solid is = 523.33 - 113.04
= 410.29 in³ .
Therefore , the Volume of the resulting solid is 410.29 in³ .
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0.000 000 000 000 000 000 000 000 001 672 622 kg.
The mass of a proton is
In scientific notation it is
Answer:
1.672 x 10 27
Step-by-step explanation:
a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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a musician plans to perform 5 selections for a concert. if he can choose from 9 different selections, how many ways can he arrange his program? a)45. b)15,120. c)59,049. d)126.
The solution is :
The solution is, 15120 different ways can he arrange his program.
Here, we have,
Given : A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections.
To find : How many ways can he arrange his program?
Solution :
According to question,
We apply permutation as there are 9 different selections and they plan to perform 5 selections for a concert.
since order of songs matter in a concert as well, every way of the 5 songs being played in different order will be a different way.
so, we will permute 5 from 9.
So, Number of ways are
W = 9P5
=9!/(9-5)!
= 9!/4!
= 15120
15120 different ways
Hence, The solution is, 15120 different ways can he arrange his program.
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Luis makes $23. 10 per hour at his job for the first 40 hours he works each week. If he works more than 40 hours, then Luis makes $34. 65 per hour. If Luis works 46 hours in one week, how much does he earn? a. $1,062. 60 b. $1,097. 25 c. $1,131. 90 d. $1,593. 90 Please select the best answer from the choices provided A B C D.
Answer:
No: d (1593.90)
Step-by-step explanation:
Here,
Income per an hour= 34.65
Now
Income for 46 hours= 34.65× 46
=1593.9
140% of what number is 98
It appears that the answer is my fat coeck
Assume that you had estimated the following quadratic regression model, where income is measured in thousands of dollars: TestScore =607.3+3.85 Income- 0.0423 Income2. If income increased from 1 to 3 (representing an increase from $1,000 to $3,000 ), then the predicted effect on test scores would be: a. 7.36. b. 3.85−0.0423. c. cannot be calculated because the function is non-linear. d. 2.96. e. cannot be calculated because the standard errors of the regression are not reported. f. None of the above.
The predicted effect on test scores when income increases from $1,000 to $3,000 is ( a. 7.36.)
To find the predicted effect on test scores when income increases from $1,000 to $3,000, to substitute the values into the quadratic regression model and calculate the difference in test scores.
Given the quadratic regression model:
TestScore = 607.3 + 3.85Income - 0.0423Income^2
Let's calculate the test scores at income values of $1,000 and $3,000:
For income = $1,000 (1 in thousands):
TestScore1 = 607.3 + 3.85(1) - 0.0423(1)^2
= 607.3 + 3.85 - 0.0423
≈ 611.108
For income = $3,000 (3 in thousands):
TestScore2 = 607.3 + 3.85(3) - 0.0423(3)^2
= 607.3 + 11.55 - 0.3819
≈ 618.468
The predicted effect on test scores is the difference between TestScore2 and TestScore1:
Effect = TestScore2 - TestScore1
= 618.468 - 611.108
≈ 7.36
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If P(x) = x ^ 2 + x + 3 and Q(x) = 4x ^ 2 - 3 find P(8) .
Answer:
75
Step-by-step explanation:
Giving Q was not necessary because you aren't doing P(Q) or anything like that....
Anyways,
\(p(x) = x^2 + x +3\\\)
Since you're doing p(8), you would replace the x's with 8s.
\((8)^2 + (8) + 3 = 64 + 8 + 3 =75\)
So your final answer would be 75.
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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The Clayton family and the Mercado family are seeing a movie together in the theater. At the concession stand, Mr. Clayton paid $20 for 4 large popcorns and 2 large drinks that his family will share. Mrs. Mercado bought 4 large popcorns and 4 large drinks and paid $28. How much does each item (popcorn & drink) cost?
Answer:
Popcorn costs 4. Drink costs 2.
Step-by-step explanation:
4x4=16
2x2=4
16+4=20
The two figures shown are congruent. Which statement is true?
A). One figure is a translation image of the other.
B). One figure is a rotation image of the other.
C). Neither figure is a translation or rotation image of the other
Answer:
C
Step-by-step explanation:
They are the same without rotation and translation
Find the domain and range of these points.
x-axis 0, 1.5, 3.5, 5, 6.6
y-axis 1, 9, 0, 4, 0
Answer:
Step-by-step explanation:
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The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the shortest leg and the hypotenuse of the triangle.
Answer:
Shortest Leg: 5 inches, Hypotenuse: 13 inches
Step-by-step explanation:
A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.
The following table shows the mean annual percent return on capital (profitability) and the mean annual percentage sales growth for eight aerospace and defense companies.
Company Profitability Growth
Alliant Techsystems 23. 1 8. 0
Boeing 13. 2 15. 6
General Dynamics 24. 2 31. 2
Honeywell 11. 1 2. 5
L-3 Communications 10. 1 35. 4
Northrop Grunmman 10. 8 6. 0
Rockwell Collins 27. 3 8. 7
United Technologies 20. 1 3. 2
Click here for the Excel Data File
a. Compute the correlation coefficient. Conduct a test of hypothesis to determine if it is reasonable to conclude that the population correlation is greater than zero. Use the 0. 05 significance level. Assume growth is the independent variable and profitability is the dependent variable. (Negative values should be indicated by a minus sign. Round x, y values to 1 decimal place and other values to 3 decimal places. )
x y (x−x⎯⎯)
(y−y⎯⎯)
(x−x⎯⎯)2
(y−y⎯⎯)2
(x−x⎯⎯) (y−y⎯⎯)
23. 1
8. 0
5. 613
−5. 825
31. 500
33. 931
-32. 693
13. 2
15. 6
−4. 288
1. 775
18. 383
3. 151
-7. 610
24. 2
31. 2
6. 713 17. 375
45. 058
301. 891
116. 630
11. 1 2. 5
-6. 388
-11. 325
40. 800 128. 256
72. 338
10. 1
35. 4
-7. 388
21. 575
54. 575 465. 481 -159. 385
10. 8 6. 0 −6. 688
-7. 825
44. 723
61. 231
52. 330
27. 3 8. 7 9. 813 −5. 125 96. 285 26. 266 -50. 289
20. 1
3. 2
2. 613
-10. 625
6. 825
112. 891
-27. 758
139. 9
110. 6
338. 149
1133. 095
-36. 438
x⎯⎯
=
17. 488
, y⎯⎯
=
13. 825
, Sx =
6. 950
Sy =
12. 723
, r =
-0. 059
H0: rho ≤ 0; H1: rho > 0 Reject H0 if t > 1. 9432
b. Develop the regression equation for profitability based on growth. Comment on the slope value. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places. )
(A) The correlation coefficient between profitability and growth is -0.059, indicating a weak negative relationship between the two variables.
(B) The regression equation for profitability based on growth is: Profitability = 24.916 - 0.383Growth.
a. The correlation coefficient between profitability and growth is -0.059, indicating a weak negative relationship between the two variables. To test the hypothesis that the population correlation is greater than zero, we use a one-tailed t-test with a significance level of 0.05. The test statistic, calculated as t = r√((n-2)/(1-r^2)), where n is the sample size, is -0.413. Since the calculated t-value is less than the critical value of 1.9432, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest that the population correlation between profitability and growth is greater than zero.
b. The regression equation for profitability based on growth is: Profitability = 24.916 - 0.383Growth. The negative slope value suggests that there is a negative relationship between profitability and growth, indicating that as sales growth increases, profitability decreases. However, the low R-squared value of 0.004 indicates that only 0.4% of the variability in profitability can be explained by growth, suggesting that other factors may have a greater influence on profitability for these aerospace and defense companies.
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Find the length of the hypotenuse. Round your answer to the nearest tenth
Answer:13.6
Step-by-step explanation:
if I have saved rupees 20 per week for 10 weeks so if I buy a gift of rupees 150 and I have only hundred rupees so how many money I saved
Answer:
50 rupees more
Step-by-step explanation:
20 rupees = 1 week
? = 10 weeks
First need to find the total rupees
20 × 10 = 200 rupees
i have only 100 rupees
gift = 150
150 - 100 = 50 rupees more
If y=10x+0.08
Is this relationship proportional? At least 1 sentence explanation.
Answer:
No it is not proportional.
Step-by-step explanation:
Determine whether the following sets are equal {3,5, 1) and (1, 3, 5) True False
The statement "The sets {3, 5, 1} and (1, 3, 5) are equal" is False. The sets differ in their order of elements, and therefore, they are not considered equal based on the mathematical concept of sets.
The two sets in question are {3, 5, 1} and (1, 3, 5). To determine if these sets are equal, we need to consider the elements they contain and the order in which those elements are listed.
In set notation, the order of elements does not matter, and duplicates are ignored. However, in the first set {3, 5, 1}, the order of elements is specified, and there are no duplicates present. On the other hand, the second set (1, 3, 5) is written using parentheses, indicating that the order of elements is significant.
Therefore, the sets {3, 5, 1} and (1, 3, 5) are not equal because they differ in the order of elements. The first set lists the elements in the order 3, 5, 1, while the second set lists the elements in the order 1, 3, 5.
To illustrate this, let's consider an example of set equality. If we have the sets {1, 2, 3} and {3, 2, 1}, they would be considered equal because the order of elements does not matter in set notation.
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3x + 7 = 35 Tell me what you would do for the first step
Answer:
First subtract 7 from both sides
Then divide 3 from sides
and x should be by itself
Step-by-step explanation:
HII SOMEONE HELPPP PLEASE ‼️‼️‼️
Answer:
Step-by-step explanation:
Fame age be x and sister's age = y
Five years ago:
Fame's age = x - 5
His sister's age = y -5
\(x -5 =\dfrac{1}{6}*(y-5)\\\\\)
Multiply the entire equation by 6
\(6*(x-5)=6*\dfrac{1}{6}(y-5)\\\)
6x- 6*5 = y-5
6x - 30 = y - 5
6x -30 + 5 = y
y = 6x - 25--------------(I)
Three year after:
Fame's age = x + 3
His sister's age = y + 3
2*(x +3) = y + 3
2x + 6 = y + 3
2x + 6 -3 = y
y = 2x + 3 -------------(II)
Substitute y = 6x - 25 in equation (II)
6x - 25 = 2x + 3
Add 25 to both sides
6x = 2x + 3 + 25
6x = 2x + 28
Subtract 2x from both sides
6x - 2x = 28
4x = 28
Divide both sides by 4
x = 28/4
x = 7
Substitute x = 7 in equation (I)
y =6x - 25
y = 6*7 - 25
= 42 - 25
y = 17
Fame's age = 7 years
His sister's age = 17 years
4) Let the distance between X and Y be D
Time take by Wie = distance÷ speed
\(= \dfrac{D}{75}\)
Time taken by Wary = distance ÷ speed
\(=\dfrac{D}{80}\)
Time difference = 10 minutes.
As Wary drives in high speed that Wie, he takes less time
\(\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\\)
LcM = 1200
\(\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\\)
D = 200 Km
Select the correct answer.
Which statement correctly describes this expression?
2m3 – 11
OA. the difference of twice the cube of a number and 11
OB.
the cube of twice a number decreased by 11
Ос.
twice the cube of a number subtracted from 11
OD
the difference of twice a number and 11 cubed
Answer:
B
Step-by-step explanation:
The cube of twice a number =
\({2m}^{3}\)
Decreased by 11 =
\( - 11\)
Hence, the cube of twice a number decreased by 11 =
\( {2m}^{3} - 11\)
The cube of twice a number decreased by 11 =2n^3-11
We have given options
We have to determine the correct statement
Let us consider a number n.
What is the expression?Expressions ismathematical statements with a minimum of two terms containing numbers or variables, or both, are connected by an operator in between.
The cube of twice a number =2n^3
Decreased by 11 =2n^3-11
Hence, the cube of twice a number decreased by 11 =2n^3-11
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passes through (-6,2) and is parallel to the line whose equation is 2x-3y=12
\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)
Step-by-step explanation:
First let's convert 2x - 3y = 12 into \(y = mx + b\) form.
In order to do this, solve for y.
\(2x-3y=12\)
\(-3y=-2x+12\)
\(y=\frac{2}{3} x-4\)
This shows us that the slope is \(\boxed{\frac{2}{3}}\)
Now we use the point-slope formula:
\((y-y1)=m(x-x1)\)
where m is the slope and y1 and x1 are the point the line passes through
Using the point (-6,2) and slope, 2/3, we can find the equation:
\((y-2)=\frac{2}{3} (x-(-6))\)
\((y-2)=\frac{2}{3} (x+6)\)
\((y-2)=\frac{2}{3} x+4\)
\(\large\boxed{y=\frac{2}{3} x+6}\)
Sam has twice as many as books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do they have altogether?
Answer:
48
Step-by-step explanation:
Sam had 36 books
Jim had 12
after same gave Jim 12 books, they each had 24 books
A perpendicular BK equal to 7 centimeters is drawn through the vertex of the right angle B of the triangle ABC to its plane. Find the distance from point K to the line AC, if AC = 8V(root of)2 centimeters, angle BAC = 45°
Figure (drawing) is to be preferred for this task.
The distance from point K on the line AC to A is equal to 7cm using the trigonometric ratio of tangent of angle 45°.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right-angled triangle ABK, we shall calculate for the distance (AK) from point K on the line AC to A using the tangent of A =45° as follows:
tan 45° = /AK {opposite/adjacent}
by cross multiplication
AK = 7/tan 45°
recall tan 45° = 1
AK = 7/1
AK = 7
Therefore, the distance from point K on the line AC to A is equal to 7cm using the trigonometric ratio of tangent of angle 45°.
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