Answer:
The solution set for [tex]s<3[/tex] would be (-∞,3)
The solution set for [tex]|s|<3[/tex] would be (-3,3)
Step-by-step explanation:
The solution set for [tex]s<3[/tex] can be any number that is lower than 3.
When we have the inequality [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer
[tex]|s|<3[/tex]
[tex]s<[/tex] ± [tex]3[/tex]
This can be be split into [tex]s<3, s<-3[/tex]
But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]
Now, we can combine these to get one inequality
[tex]-3<s<3[/tex]
Which of the following formulas is used to calculate the probability of independent events A and B?
A. P(AUB) = P(A) + P(B)
B. P(AUB) = P(A) P(B)
C. P(A and B) = P(A) + P(B)
D. P(A and B) = P(A) P(B)
Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:
Answer:
circumfrence : 43.96 area :153.94
Step-by-step explanation:
The data below show the numbers of hours Mrs. Diaz volunteered at the library each month
for eight months.
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
4.5
2
4
2.2
Answer:
A. 4.5
Step-by-step explanation:
Given:
20, 12, 27, 23, 18, 20, 30, 26
Mean = 22
Required:
Calculate the Mean Absolute Deviation (M.A.D)
Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data
20 - 22 = -2
12 - 22 = -10
27 - 22 = 5
23 - 22 = 1
18 - 22 = -4
20 -22 = -2
30 - 22 = 8
26 - 22 = 4
The we find absolute value of the result above
|-2| = 2
|-10| = 10
|5| = 5
|1| = 1
|-4| = 4
|-2| = 2
|8| = 8
|4| = 4
Lastly, we calculate the mean of the above to give M.A.D
[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]
[tex]M.A.D = \frac{36}{8}[/tex]
[tex]M.A.D = 4.5[/tex]
Option A is correct.
The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.
What is the mean absolute deviation?It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data:
20, 12, 27, 23, 18, 20, 30, 26
Mean of the data X = 22 hours
∑(x - X) = 36
MAD = 36/8 = 4.5 hours
Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.
Learn more about the mean absolute deviation here:
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Pythagorean Theorem: Find the diagonal length of the soccer field.
Answer:
6600 yrds
Step-by-step explanation:
sorry if its wrong
What is the true solution to the logarithmic equation?
log2[log2 (4x)) - 1
x=-4
X-0
X-2
X=4
Answer:
x=4
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Identify the following data set: ....a manager of a movie theater was asking customers at the concession stand how they would rate the theater's staff.
Population
Sample
1. Sample
2. Population
3. Parameter
4. Statistic
A pool measuring 8 meters by 24 meters is surrounded by a path of uniform
width, as shown in the figure. If the area of the pool and the path combined is
960 square meters, what is the width of the path?
Answer:
8 meters
Step-by-step explanation:
8 × 24 = 192, 960 - 192 = 728.
The width of the path will be 8, and the length of the path will be 91, but since the question is just talking about the path's width, then the answer is 8 meters.
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
!! HELP ASAP!!
A stack of wood 4 feet wide, 8 feet long, and 4 feet high is equal to 1 cord of wood. How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?
Answer:
2 cords
Step-by-step explanation:
Answer:2 cords
Step-by-step explanation:
Find the growth rate (b) if the amount of growth is 11.8%
Answer:
B
Step-by-step explanation:
I think.
Stephanie has 9 pairs of blue pants, 2 pairs of white pants, 3 pairs of black pants, and 4 pairs of brown pants. If she chooses one pair of pants, what is the probability that they are not brown?
Answer:
14/18 or about 0.78%
Answer:
4/18 if there are 9 blue 2 White 3 black and 4 Brown you add them all together and get 18 the probability would be 4 out of 18 because there are four pairs of brown pants out of 18 pants all together
Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work?
StartFraction x Over x squared minus 1 EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 1: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 2: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 (x + 1) Over (x + 1) (x minus 1) EndFraction
Step 3: StartFraction x minus x + 1 Over (x + 1) (x minus 1) EndFraction
Step 4: StartFraction 1 Over (x + 1) (x minus 1) EndFraction
In step 1, he did not correctly factor the denominator.
In step 2, he did not use the correct common denominator.
In step 3, he did not distribute the negative sign when he subtracted.
In step 4, he did not correctly subtract the numerator.
Answer:
He did not distribute the negative sign when he subtracted.
Step-by-step explanation:
x-(x+1) is equal to a -1. He did not distribute the negative.
In third step, he did not distribute the negative sign when he subtracted. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Mr. Knotts found the difference of the following expression.
The expression is given below.
[tex]\rm \rightarrow \dfrac{x}{x^2-1} - \dfrac{1}{x -1}[/tex]
Then the first step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1}{x -1}[/tex]
The second step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1(x+1)}{(x+1)(x -1)}[/tex]
The third step of the expression will be
[tex]\rm \rightarrow \dfrac{x - (x +1)}{(x+1)(x-1)}\\\\\rm \rightarrow \dfrac{x - x -1}{(x+1)(x-1)}[/tex]
In third step, he did not distribute the negative sign when he subtracted.
Then the correct option is C.
More about the Algebra link is given below.
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Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
1) write down a different ratio equivalent to 12 : 3
2) write down a different ratio equivalent to 30 : 24
Answer: 1) 4:1 2) 60/48
Step-by-step explanation:
1. 12: 3 is the same as 12/3 so you can diving both side by 3.
12:3 ÷ 3/3=4/1
2. 30:24 is the same as 30/24 so you can divide both sides by 6 or multiply both sides by 2.
30/24 * 2/2= 60/48
THIS IS URGENT!
What is the solution to the system graphed below?
Answer: (-4, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.
The two lines intersect in quadrant III
where x and y are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 4 and down 1 so that's (-4, -1).
So the solution to this system is (-4, -1).
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
Answer:
50 liters
Step-by-step explanation:
If x is the volume of 20% acid, then:
x (0.20) + 20 (0.45) = (x + 20) (0.30)
0.2x + 9 = 0.3x + 6
3 = 0.1x
x = 30
30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.
In a representative survey 9 out of 12 middle schoolers prefer
doughnuts to candy bars. How many doughnuts would you predict you
need for a group of 250 middle schoolers? How many candy bars?
Answer:
187.5 doughnuts (about 188)
62.5 candy bars (about 63)
Step-by-step explanation:
So the proportion of middle schoolers who prefer doughnuts is p = 9/12. That means the proportion of middle schoolers who prefer candy is 1 - 9/12 = 3/12.
The number of middle schoolers is n = 250.
Let X represent the number of doughnuts you need. The expected number is E(X) = np, so multiply them together:
E(X) = np
E(X) = 250 * 9/12 = 187.5 doughnuts
Let Y represent the number of candy bars you need. The expected number is E(Y) = np, so multiply them together:
E(Y) = np
E(Y) = 250 * 3/12 = 62.5 candy bars
Answer:
250/12=20.83
so there is about 21 times more people
20.8333 x 9 = 187.5
250-187.5=62.5
(I am going to put 62 so when you add up it will be 250 instead of 251)
about 188 people will have donuts and about 62 candy bars
Step-by-step explanation:
what is the median of 40,33,37,54,41,34,27,39,35
Answer:
It's 37
Step-by-step explanation:
The given data set is ;
40,33,37,54,41,34,27,39,35
We arrange the data set in ascending order to obtain;
{27,33,34,35,37,39,40,41,54}
The median is the middle number {37}
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
Andrea opened a bank account for her daughter Hannah, with a deposit of $ 1,750 . The account will earn 2% simple interest annually. How many months will it take her to earn interest in the amount of $245 on her deposit?
Answer:
84 months
Step-by-step explanation:
I × 100 = P × R × T
I = interest = $245
P = principal = $1750
R = rate = 2%
T = time(in years) = ??
245 × 100 = 1750 × 2 × T
24500 = 3500T
24500/3500 = T
7 = T
To convert the time to month:
7 × 12 = 84 months
If 50% of an item is 22.00 what is the original price ?
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
Wha do you call a pair of angles that add up to 180 degrees?
Please help.
Answer:
supplementary angles
Step-by-step explanation:
Supplementary angles add to 180
Complementary angles add to 90
Find the reference angle of 14 pie over 11
Answer:
Step-by-step explanation:
reference angle=(14 π)/11-π=(14-11)π/11=3π/11
3. A cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of a cubic inc D. 13.1 cubic inches.
h, of the cone?
A. 3.6 cubic inches.
B. 4.4 cubic inches.
C. 10.6 cubic inches.
Answer:
B
Step-by-step explanation:
The volume of the cone is defined as
Volume = pi * r^2 * (h/3)
Volume = pi * 1.2^2 * (2.9/3)
Volume = 4.37310 in^3
If the answer is rounded to the nearest tenth of a cubic inch,
then the final answer is letter (B) 4.4 in^3
A clothing store donated a percent of every sale to hospitals. The total sales were $6,500 so the store
donated $260. What percent of $6,500 was donated to hospitals?
I’m literally confused
Nyah receives a chain letter and has to copy the letter and send it to 4 of her friends,
have to copy the letter and send it to 4 other friends, and so on.
Finding the number of letters sent on the nth mailing is an example of
a geometric sequence
COMPLETE
If everyone who receives a letter participates, how many letters will be sent on the si
54 X = 4,096
COMPLETE
By the sixth mailing, how many people will have participated since the start?
DONE
I need the last part
Answer:
1. Geometric sequence
2. 4,096
3. 5,460
Step-by-step explanation:
Part 1
Since the number of letters sent is multiplied by 4 for any subsequent term, the sequence is an example of a geometric sequence as it grows exponentially.
Part 2
Given a geometric sequence, the nth term is determined using the formula:
[tex]T_n=ar^{n-1},$ where r=common ratio, a=first term, n=number of terms[/tex]
In this case,
a=1 (i.e. Nyah)
r=4
Since we want to determine how many letters will be sent on the sixth mailing(i.e after Nyah), n=7
Substituting
[tex]T_6=1*4^{7-1}\\=4^6\\=4096[/tex]
Part 3
To determine how many people would have participated by the sixth mailing, we are required to find the sum of the first seven terms of the geometric sequence.
We use the sum of a geometric sequence formula
[tex]S_n=\dfrac{a(r^n-1)}{r-1} \\S_7=\dfrac{1(4^7-1)}{4-1} \\=\dfrac{16383}{3}\\\\=5461[/tex]
Therefore, excluding Nyah, 5460 people would have participated by the sixth mailing.
Answer:
1. Geometric sequence
2. 4,096
3. 5,460
Step-by-step explanation:
The angular velocity of a fan blade is 6.2 radians per second.
Approximately how many revolutions does the fan blade make in 1.6 minutes?
Enter your answer, rounded to the nearest tenth of a revolution
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
1.6 minutes is 1.6 x 60 = 96 seconds.
Its angular velocity is 6.2 radians per second: 6.2 radians/second x 96 seconds = 595.2 radians.
One revolution of the fan is one circumference of the fan, which is 2pi radians.
Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.
Surface area of a cylinder radius is 2 and height is 3
Answer:
62.83 cm squared
Step-by-step explanation:
A = 2πrh+2πr^2
A = 2π(2)(3)+2π(2)^2
A = 2π(6)+2π4
A = 12π+8π
A = 20π
A = 20(3.14)
A = 62.83 cm squared
