an elevator traveled up to the 9th floor and then down to the third floor. how many floors did the elevator travel down
Answer:
in went down 6 floors.
Step-by-step explanation:
9-6=3 so that's how I found the answer.
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A ramp is constructed with the given dimensions. What is the height of the ramp?
Answer:
3ft
Step-by-step explanation:
Somebody please help!
Answer:
2
Step-by-step explanation:
When you plug in 3 for the value of x you get the equation: 4(3)-2/5 (being divided by 5)
Now we solve the top and the bottom of the fraction.
4×3=12
12-2=10
10/5= 2
Hope this helps! :)
Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.
Applying the sine rule the value of side x is calculated to be 7.4
How to find the size of xThe size of x is calculated using the sine rule which sates that the ratio of a side and the opposite angles are equal to each other
This represented by the formula
Sine A / a = Sine B / b = Sine C / c
applying the formula for the problem
Sine A / a = Sine B / b
Sine 29 / 5 = Sine 46 / x
cross multiplying
x = 5 * Sine 46 / Sine 29
x = 7.4188
x = 7.4 to the nearest tenth
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Answer:
7.4
Step-by-step explanation:
yes
8(m – 5) = 2(3m - 8)
help
Answer:
m=12
Step-by-step explanation:
it is right
Answer:
m = 12
Step-by-step explanation:
8(m – 5) = 2(3m - 8)
Distribute the 8 to (m-5) and the 2 to the (3m-8)
8m-40=6m-16
Add 40
8m=6m+24
Subtract 6m
2m=24
Divide 2
m=12
Mrs. Peña is taking a group of 50 students on a field trip to the Georgia Aquarium. If 20 of the students are boys, what percent of the students are boys?
Answer:
40%
Step-by-step explanation:
20/50 = 40/100 = 40%
A Chicago-based firm has documents that must be quickly distributed between two delivery services, UPX and INTEX. The firm sends two copies of a report to a random sample of 14 of its district offices with one report carried by UPX and the other report carried by INTEX. Calculate the test statistic for a hypothesis test to show whether there is a significant difference between the two services at the 10 significance level. (Round the answer to two decimal places) =14 d=21 518 test statistic
Since the test statistic (0.1515) is smaller than the crucial value (2.145), we do not reject the null hypothesis.
We need to know the sample size, the difference between the two samples, and the standard deviation in order to calculate the test statistic for the hypothesis test. Using the provided data, we can:
Sample size (n) = 14
Difference (d) = 21
Standard deviation (s) = 518
t = (d - μ) / (s / √n)
So,
t = (21 - 0) / (518 / √14)
t = 21 / (518 / 3.74)
t = 21 / 138.545
t ≈ 0.1515 (rounded to four decimal places)
We do not reject the null hypothesis since the test statistic (0.1155) is smaller than the crucial number (2.145).
Thus, this indicates that, at the 10% significance level, there is insufficient data to draw the conclusion that there is a significant difference between the two delivery services (UPX and INTEX).
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Susan has 20 pieces of candy in a bag: 6 mint sticks, 11 jelly treats, and 3 fruit tart chews. If she eats one piece every 5 minutes, what is the probability her first two pieces will both be jelly treats?
Answer:
55%
Step-by-step explanation:
1. You add all the candy together to show that all the candies added together equals 20.
11+6+3=20
2. You divide 11 by 20 to get the decimal
11/20=.55
3. To get the percentage you just have to multiply .55 by 100.
4. The final answer should be 55 %
. Evaluate the following logical reasoning correctness, if correct prove it, if not state why:
(a) p. pvq,q (rs), w→rs w (b) pq,qs, rs, per p
(a) The logical reasoning provided is not correct. The given statements are:
1. p
2. p v q
3. q
4. (r s)
5. w → (r s)
6. w
To evaluate the correctness, we need to check if each step follows valid logical rules. Let's examine each step:
1. The statement "p" is given, so it is true.
2. The statement "p v q" is given, which means "p or q" is true. However, we cannot conclude that either p or q is true individually.
3. The statement "q" is given, so it is true.
4. The statement "(r s)" is given, but we cannot make any inferences or conclusions from this statement alone.
5. The statement "w → (r s)" is given, indicating that if w is true, then (r s) is true. However, we don't have any information about the truth value of w.
6. The statement "w" is given, so it is true.
Based on the evaluation, we can see that some of the steps are valid, but others lack necessary information or logical connections. Therefore, the given logical reasoning is not correct.
To establish the correctness, we would need additional information or valid logical deductions that establish the relationship between the given statements and lead to a valid conclusion. Without such additional information, the reasoning remains incomplete and inconclusive.
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A surveying team set up some equipment 110 ft from the base of a tree in order to sight the top of the tree. From ground level, they measure the angle of elevation to be 25°, if the calculated height needs to be accurate to with 2%, what is the allowed error in the angle measurement
Answer:
Step-by-step explanation:
Distance from equipment position to tree base is known. Measured angle of elevation is twenty five degrees. What is the allowed error in the angle measurement?
Two percent of twenty five degrees is
2/100 × 25 = 0.02 × 25 = 0.5
This is the allowed error in the angle measurement - 0.5 degrees
Hence, the angle could or should fall anywhere between 24.5 and 25.5
These two figures are gotten by subtracting 0.5 from 25 and by adding 0.5 to 25 respectively.
The allowed error in the angle measurement is 0.5 degrees.
Find the missing parts of each parallelogram
Answer:
x°=112°
y°= 68°
z°= 68°
Hope it's helpful ❤❤❤❤
THANK YOU.
Please help with geometry question
Answer:
<U=70
Step-by-step explanation:
Straight line=180 degrees
180-120
=60
So, we have 2 angles.
60 and 50
180=60+50+x
180=110+x
70=x
So, U=70
Hope this helps! :)
The distribution of time needed to complete a certain programming task is approximately normal, with mean 47 minutes and standard deviation 6 minutes. Which of the following is closest to the probability that a randomly chosen task will take less than 34 minutes or more than 60 minutes to complete?0.0151
0.0303
0.4849
0.9697
0.9849
The closest probability to that a randomly chosen task will take less than 34 minutes or more than 60 minutes to complete is 0.0303. Hence, the option that is closest to 0.0303 is b. 0.0303.
The probability that a randomly selected task will take less than 34 minutes is equal to P (X <34).
Here, the given data is
Mean (μ) = 47 minutes
Standard deviation (σ) = 6 minutes
So, the standardized value of 34 minutes =z
1 = (34 - 47) / 6 = - 2.1667
The probability that a randomly chosen task will take more than 60 minutes to complete is equal to P (X> 60).
Here, the given data is
Mean (μ) = 47 minutes
Standard deviation (σ) = 6 minutes
So, the standardized value of 60 minutes =z
2 = (60 - 47) / 6 = 2.1667
Thus, we need to find the probability that a randomly selected task will take less than 34 minutes or more than 60 minutes to complete. That is, we need to find the probability of the union of the two events P (X <34) ∪ P (X> 60).Using the standard normal table, we can find
P (X <34) = P (Z <−2.1667)
= 0.0151
P (X> 60) = P (Z> 2.1667)
= 0.0151
Therefore, P (X <34) ∪ P (X> 60) = P (X <34) + P (X> 60) - P (X <34 ∩ X> 60)0.0151 + 0.0151 - 0
= 0.0302
≈ 0.0303
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you need gi wrap a Christmas present for your friend. the box the gift is in has a length of 12 inches, a width of 8 inches, and a height of 7 inches how much wrapping paper do we need
The given problem can be exemplified in the following diagram:
The amount of paper needed to wrap the box is equivalent to the surface area of the box.. the surface area is equivalent to the sum of the areas of each face. Therefore, the surface area is:
\(A=2(12)(7)+2(8)(7)+2(12)(8)\)Each term is multiplied by two representing the two faces of the corresponding area:
Solving the operations:
\(A=472\)Therefore, 472 square inches of wrapping paper is needed.
2
Which of the following is a rational number?
(10 Points)
о 3л
O 6√8
O√3+3
O4√16
Will give brainliest!!! And 50 points!!! Plz I need help
Answer:
11.25
Step-by-step explanation:
Give the domain and range of T.
9514 1404 393
Answer:
D: {-4, 1, 5, 9}
R: {-8, 0, 1, 5}
Step-by-step explanation:
The domain is the list of first numbers of the ordered pairs: {-4, 1, 5, 9}.
The range is the list of second numbers of the ordered pairs: {-8, 0, 1, 5}.
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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Fatima wants to open an umbrella store. She already has some umbrellas, but needs to buy more. She starts to buy 9 umbrellas every week. After 15 weeks, she has 168 umbrellas. How many umbrellas did she start with?
The number of umbrellas that Fatima started with is 33.
How to illustrate the equation?From the information, Fatima wants to open an umbrella store. She already has some umbrellas, but needs to buy more. She starts to buy 9 umbrellas every week. After 15 weeks, she has 168 umbrellas.
Let the umbrellas that she start with be given as x.
The information will be illustrated thus:
x + 15(9) = 168
x + 135 = 168
Collect the like terms
x = 168 - 135
x = 33
She had 33 umbrellas.
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Wallpaper costs $16 per roll, and border costs $9 per roll. If 12 rolls of wallpaper
and 6 rolls of border are needed for one room, find the total cost of the
wallpaper and border.
Answer:
$246
Step-by-step explanation:
6 x 9 + 12 x 16= 246
What is the absolute value of
x = 8 and x = 18
Answer:
8, 18
Step-by-step explanation:
The absolute value is the distance of the point from 0. In this question, it would be the number itself.
Answer:
The answer would be 8 and 18
Step-by-step explanation:
To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5. Isolate the absolute value.
ind the inverse Laplace transform of the following function: 8 /s² (s+2)
The Steady-state gain can be found using the formula Kp = lim s->0 G(s).
A. (a) The inverse Laplace transform of the function 8 /s² (s+2) is given by f(t) = 8(t - e^(-2t)).
B. (a) To find the inverse Laplace transform of 8 /s² (s+2), we can use partial fraction decomposition and inverse Laplace transform tables.
First, we express the function in partial fraction form as follows: 8 /s² (s+2) = A/s + B/s² + C/(s+2).
To find the values of A, B, and C, we can equate the coefficients of corresponding powers of s in the numerator and denominator. This leads to the equations A + 2B + 2C = 0, A = 8, and B = -8.
Substituting the values of A and B into the equation A + 2B + 2C = 0, we find C = 4.
Now, we have the partial fraction decomposition as: 8 /s² (s+2) = 8/s - 8/s² + 4/(s+2).
Using inverse Laplace transform tables, we find the inverse Laplace transforms of each term: L⁻¹{8/s} = 8, L⁻¹{8/s²} = 8t, and L⁻¹{4/(s+2)} = 4e^(-2t).
Finally, we combine the inverse Laplace transforms of each term to obtain the inverse Laplace transform of the original function: f(t) = 8(t - e^(-2t)).
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(4x - 6)
(x+6y)”
Solve for y
Hey there!
(4x - 6)(x + 6y)
= (4x - 6)(1x + 6y)
= 4x(1x) + 4x(6y) - 6(1x) - 6(6y)
= 4x^2 + 24xy - 6x - 36y
Therefore, your answer is:
4x^2 + 24xy - 6x - 36y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
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pls help me for brainliest answer
Answer with Step-by-step explanation:
\(a)3n + 4 \\ \\n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\ =7 \\ \\ n = 2 \\ 3 \times 2 + 4 \\ 6 + 4 \\ = 10 \\ \\ n = 3 \\ 3 \times 3 + 4 \\ 9 + 4 \\ = 13 \\ \\ n = 4 \\ 3 \times 4 + 4 \\ 12 + 4 \\ = 16 \\ \\ n = 10 \\ 3 \times 10 + 4 \\ 30 + 4 \\ = 34 \\ \)
So in this sequence,
1st term = 7
2nd term = 10
3rd term = 13
4th term = 16
10th term = 34
\(b)4n - 5 \\ \\ n = 1 \\ 4 \times 1 - 5 \\ 4 - 5 \\ = - 1 \\ \\ n = 2 \\ 4 \times 2 - 5 \\ 8 - 5 \\ = 3 \\ \\ n = 3 \\ 4 \times 3 - 5 \\ 12 - 5 \\ = 7 \\ \\ n = 4 \\ 4 \times 4 - 5 \\ 16- 5 \\ = 11 \\ \\ n = 10 \\ 4 \times 10 - 5 \\ 40 - 5 \\ = 35\)
In this sequence,
1st term = -1
2nd term = 3
3rd term = 7
4th term = 11
10th term =35
Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and q = the number of quarters Sally has, one of the linear equations that could be used to model this situations is
Answer:
\(d + q = 20\)
\(0.25d + 0.10q = 3.05\)
Step-by-step explanation:
Given
Coins = 20
Value = $3.05
Required
Determine the equation that represent this
From the question, we have that
d = the number of dimes
q = the number of quarters
This implies that;
\(d + q = 20\)
Also;
\(1 d=\$0.25\ \ and\ \\1 q= \$0.10\)---------- Standard unit of conversion;
This implies that
\(0.25d + 0.10q = 3.05\)
Hence, the equations are:
\(d + q = 20\)
\(0.25d + 0.10q = 3.05\)
The Fernandez family has a square kitchen with an area of 182.25\ m^{2}182.25 m
2
.
Find the perimeter of the Fernandez' square kitchen, in meters
Answer:D 3,215.36 square feet. 1.9m. 2)
Step-by-step explanation:
Answer:
perimeter = 54.08
Step-by-step explanation:
We are told that the area of a square kitchen is 182.25 m². We are then asked to calculate the perimeter of the kitchen.
The perimeter of a shape is simply the sum of the length of its sides. Therefore, in order to calculate the perimeter of the kitchen, we need to know the length of its sides.
Given that we know the area of the square kitchen, we can use the formula:
\(\boxed{\mathrm{Area = side^2}}\),
and rearrange it to make the side the subject:
Area = side²
⇒ \(182.25 = \mathrm{side^2}\)
⇒ \(\sqrt{182.85} = \mathrm{\sqrt{side^2}}\) (taking the square root of each side)
⇒ \(13.52 = \mathrm{side}\)
⇒ side = 13.52 m
Therefore, the length of each side of the square kitchen is 13.52 m.
A square has 4 sides; therefore the perimeter of the kitchen can be calculated as follows:
perimeter = \(4 \times 13.52\)
= \(\bf 54.08 \ m\)
Therefore, the perimeter of the square kitchen is 54.08 m.
m<5=64 and m<6 = (3x—25) what is the value of x ?
Based on the information provided, we know that m<5 has a measure of 64 degrees and m<6 can be represented as 3x-25.
How to find value of x?In order to find the value of x, we need to solve for x in the equation 3x-25=m<6. Since we know that m<6 is equal to (3x-25), we can substitute this expression in the equation to get 3x-25=(3x-25).
By simplifying this equation, we get 3x=3x, which means that x can be any value since the equation is true for all x values. Therefore, we cannot determine the specific value of x based on the given information.
It's important to remember that when solving for unknown angles or variables, we need to use the equations and information given to us and make sure to simplify the equations as much as possible to get a clearer understanding of the problem.
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What are the 3 different methods of solving a system of equations?
There are three ways to solve systems of linear equations in two variables graphing. substitution method. elimination method.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
What makes an equation linear?
When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.
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is 0.67 a real number