Answer:
The top right.
Step-by-step explanation:
Justin and his family are going on a guided tour of the zoo. The number of people that can be in a tour group at the zoo must be fewer than 16 people. Create an inequality on the number line which represents the number of people that could be in Justin's tour group.
Answer:
x < 16
Step-by-step explanation:
The number of people that can be in a tour group at the zoo must be fewer than 16 people.
Let the number of people in the Justin's tour group is x.
According to the question, the inequality is given by
x < 16.
This is the desired inequality.
Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds?
StartFraction 9 over 4 EndFraction divided by three-halves
Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
StartFraction 9 over 4 EndFraction divided by (negative three-halves)
Answer:
ITS B !!!!!!!!!!!!!
Step-by-step explanation:
The equivalent expression is -9/4 ÷ (-2/3).
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Negative 2 and one-fourth divided by negative two-thirds.
This can be written as,
-2(1/4) ÷ (-2/3)
= -9/4 ÷ (-2/3)
= -9/4 x -3/2
= 27/8 _____(A)
Now,
StartFraction 9 over 4 EndFraction divided by three-halves
This can be written as,
9/4 ÷ 3(1/2)
= 9/4 x 2/7
= 18/28 ______(1)
Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)
This can be written as,
-9/4 ÷ (-2/3)
= -9/4 x -3/2
= 27/8 ______(2)
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
This can be written as,
-9/4 ÷ 2/3
= -9/4 x 3/2
= -27/8
StartFraction 9 over 4 EndFraction divided by (negative three-halves)
This can be written as,
9/4 ÷ -3(1/2)
= 9/4 x 2/7
= 18/28
Thus,
From (A) and (2),
-9/4 ÷ (-2/3) is the equivalent expression.
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In 1927, Charles Lindburgh had his first solo flight across the Antlantic Ocean. He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
Answer:
107.76
Step-by-step explanation:
We are told in the above question that:
He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
We solve the above question by:
33.5 hours = 3610 miles
1 hour = x miles
Cross Multiply
33.5 hours × x miles = 3610 miles × 1 hour
x miles = 3610 miles × 1 hour/33.5 hours
x miles = 107.76119403 miles
Approximately = 107.76 miles per hour
Therefore, he flew 107.76 miles each hour
.) I L
?
1.1
H
86°
K
M
A) 94°
C) 117°
B) 125°
D) 110°
We are given a diagram of a triangle with one angle measuring 94 degrees and another angle measuring 117 degrees. We need to determine the measure of the third angle, and the options provided are 86, 110, 125, and 138 degrees.
Explanation:
The sum of the angles of a triangle is always 180 degrees. Therefore, we can find the measure of the third angle by subtracting the sum of the other two angles from 180 degrees.
Let's do that:
180° - (94° + 117°) = 180° - 211° = -31°
This result is negative, which means that it's impossible for the third angle to have a measure of -31 degrees.
Therefore, we can eliminate options a) 86 degrees and d) 110 degrees, as they are less than 117 degrees and would result in a negative third angle.
Next, we can eliminate option c) 125 degrees, as it is greater than 94 degrees and would result in a negative third angle as well.
This leaves us with option b) 138 degrees as the only possible answer. We can verify this by adding up all three angles:
94° + 117° + 138° = 349°
Since the sum of the angles is greater than 180 degrees, we made an error in our calculation.
We can find the correct measure of the third angle by subtracting the sum of the other two angles from 360 degrees:
360° - (94° + 117°) = 149°
Therefore, the correct answer is option b) 138 degrees.
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Select the correct answer. Solve the following equation for x. 7 x 2 − 112 = 0 A. x = -4, x = -4 B. x = 4, x = 4 C. x = -4, x = 4 D. x = 5, x = -5
The correct answer is option C: x = -4, x = 4. Both values of x satisfy the equation 7x^2 - 112 = 0.
To solve the given equation, we need to isolate the variable x. Firstly, we add 112 to both sides of the equation to eliminate the constant term. This gives us the equation 7x^2 = 112.
Next, we divide both sides by 7 to get x^2 = 16. Taking the square root of both sides, we get two possible values of x: x = ±4. It is important to check the solutions obtained by substituting them back into the original equation to ensure they are valid.
In this case, both -4 and 4 make the equation true, so both values are acceptable.
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The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the diameter of the tunnel opening in meters? formula
Let the circumference of the circle be c and the diameter be d.
Then
\(c=\pi\times d\)Since c =36m
Then
\(undefined\)Is r = 9 a solution to the inequality below?
72r
yes
no
Submit
Explain how to solve problems like this please
Answer:
No.
Step-by-step explanation:
For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.
write an equation using (5,5) and (-2,-2) in slope intercept form
Answer:
y = 1x+b
Step-by-step explanation:
AB=a just incase it cant be seen
Answer:
Below
Step-by-step explanation:
● vector ED:
Vector ED = a since the Vectors ED and AB are colinear and have the same sense.
● vector CD:
Vector CD = -b since the vectors FA and CD are colinear but have opposite senses.
● Vector FB:
Vector FB = a+b
Using Chasles relation, we can express FB as the sum of the Vectors FA and AB.
● Vector BE:
Vector BE= -2b
The vectors BE and FA are colinear but have different senses. BE has a magnitude that is the double of FA's one.
●Vector EF:
Again using Chasles, relation we can express EF as the sum of the vectors FA and AB.
Vector EF= a+b
● Vector CF:
Vectors CF and AB are colinear but have opposite senses. The distance CF is the double of AB.
So: Vector CF=a+b
A 75.0 W bulb is connected to a
110 V (DC) outlet. What is the
resistance of the bulb?
(Unit = Ohms)
Answer:
161
Step-by-step explanation: 110^2/75
Answer:
161
Step-by-step explanation:
acellus
what is 0.5% of 30,193,864
Answer:
what is 0.5% of 30 = 0.15
what is 0.5% of 193 = 0.965
what is 0.5% of 864 = 4.32
Step-by-step explanation:
Answer question with steps asap I’ll give brainliest! Use photo
The value of the given expression is obtained using the property of composite function as g(f(2)) = 5.
What is a composite function?For two functions f(x) and g(x), a composite function is defined as f(g(x)) or g(f(x)). The characteristics of this function can be described as,
The inverse of a composite function is equivalent to the composition of the inverse of both functions.
The composition of two one to one functions is always one to one.
The given table shows the values of two functions f(x) and g(x).
The given expression is equivalent to the value of g(f(x)) at x = 2.
Now, g(f(2)) can be obtained as follows,
The value of f(2) from the table is 1.
And, the value of g(1) is 5.
Thus, g(f(2)) = g(1) = 5
Hence, the value of the given expression is 5.
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To study the effect of mindfulness meditation on mental health, an experimental investigation was done by comparing serum cortisol (as an indicator of stress level) between 2 groups of medical students who volunteered to participate in the study. Group 1 took a 4- day meditation program, while Group 2 did not. Volunteers from both groups then had a blood test and their serum cortisol was measured in nmol/L. Results were as follows: Group 1: 267 245 263 316 246 282 379 300 291 306 425 190 346 150 344 Group 2 470 222 443 506 455 518 360 408 375 246 189 368 Do the results support the hypothesis that meditation helps reduce stress level, with 95% confidence? You must properly identify and follow all the necessary steps for this investigation (Hint: for comparing variances, you can use 98% confidence.)
The results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
To determine if the results support the hypothesis that meditation helps reduce stress levels, we need to perform the necessary statistical analysis. Here are the steps involved:
Step 1: Define the hypothesis:
The null hypothesis (H₀) is that there is no significant difference in stress levels between the two groups.
The alternative hypothesis (Hₐ) is that there is a significant difference in stress levels between the two groups, with meditation reducing stress.
Step 2: Identify the appropriate statistical test:
Since we are comparing the means of two independent groups and want to test if there is a significant difference, we can use an independent samples t-test.
Step 3: Set the significance level:
The significance level (α) is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of 0.05, corresponding to a 95% confidence level.
Step 4: Calculate the sample statistics:
Calculate the means, standard deviations, and sample sizes for both groups.
Group 1:
Mean (x1) = (267 + 245 + 263 + 316 + 246 + 282 + 379 + 300 + 291 + 306 + 425 + 190 + 346 + 150 + 344) / 15 = 290.2
Standard deviation (s1) = 70.764
Sample size (n1) = 15
Group 2:
Mean (x2) = (470 + 222 + 443 + 506 + 455 + 518 + 360 + 408 + 375 + 246 + 189 + 368) / 12 = 377.5
Standard deviation (s2) = 109.057
Sample size (n2) = 12
Step 5: Conduct the statistical test:
We can now perform an independent samples t-test using the sample statistics.
Step 5a: Test for equal variances:
Before conducting the t-test, we need to check if the variances of the two groups are equal. We can use a F-test to compare the variances.
Null hypothesis (H₀): The variances of the two groups are equal.
Alternative hypothesis (Hₐ): The variances of the two groups are not equal.
Using a significance level of 0.02 (98% confidence), we can calculate the F-statistic and compare it to the critical F-value from the F-distribution table.
F = s1² / s2² = 70.764² / 109.057² = 0.428 (approximately)
The critical F-value for a 98% confidence level with (n1-1) = 14 and (n2-1) = 11 degrees of freedom is 3.72.
Since our calculated F-value is smaller than the critical F-value, we fail to reject the null hypothesis. Thus, we can assume equal variances.
Step 5b: Conduct the t-test:
Since the variances are assumed to be equal, we can perform the independent samples t-test using the sample means and pooled standard deviation.
Pooled standard deviation (sp) = √(((n1 - 1) × s1² + (n2 - 1) × s2²) / (n1 + n2 - 2)) = √(((15 - 1) × 70.764² + (12 - 1) × 109.057²) / (15 + 12 - 2)) = 90.362
t = (x1 - x2) / (sp × √(1/n1 + 1/n2)) = (290.2 - 377.5) / (90.362 × √(1/15 + 1/12)) = -2.227
Degrees of freedom (df) = n1 + n2 - 2 = 15 + 12 - 2 = 25
Using the t-distribution table or a statistical software, we can find the critical t-value for a two-tailed test at a significance level of 0.05 with 25 degrees of freedom. The critical t-value is approximately ±2.060.
Since our calculated t-value (-2.227) is smaller than the critical t-value (-2.060), we reject the null hypothesis and accept the alternative hypothesis. Therefore, there is evidence to support the claim that mindfulness meditation helps reduce stress levels, with a 95% confidence level.
In conclusion, the results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
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Triangle PQR is transformed to the image of triangle P'Q'R'.
A translation is performed on triangle P'Q'R' to create triangle P"Q"R". How does line segment P"Q" compare to line segment P'Q'?
(A) Line segment P"Q" is longer than line segment P'Q'.
(B) Line segment P"Q" is shorter than line segment P'Q'.
(C) Line segment P"Q" is congruent to line segment P'Q'.
(D) There is not enough information to compare the two line segments
Answer:
C
Step-by-step explanation:
2x+3y+2=0
2x+y=-1
Want answer
The value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The two linear equations:
2x+3y+2=0
2x+y=-1
Solving by elimination method.
2x + 3y = -2
2x + y = -1
Subtract the equation first to second:
2y = -1
y = -1/2
Plug the above value in the equation second:
2x - 1/2 = -1
2x = -1 + 1/2
2x = -1/2
x = -1/4
Thus, the value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.
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Select the correct volume.
A brick has a base area of
of 384
square inches and a height of 22 inches. What is the volume of the brick?
40
3
cubic inches
4.
15
cubic inches
10
5
95 cubic inches
8
1
239
Cubic inches
16
Answer:
the answer is 10 5. you welcome
k(x) = 2x²-x-1 find the roots
Answer:
x = -1/2 , 1
Step-by-step explanation:
Rachel has been told that with her half-off airfare coupon, her airfare will be $251. The $251 includes a 6% tax on the regular fare. on the way to the airport, Rachel realizes that she has lost her coupon. What will her regular fare be?
Answer:
532.12
Step-by-step explanation:
251 x 2 = 502
502 x .06 = 30.12
30.12 + 502 = 532.12
Her regular fare will be $15.06.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The $251 includes a 6% tax on the regular fare.
Now,
Since, The $251 includes a 6% tax on the regular fare.
Hence, The regular fare = 6% of $251
= 6/100 × 251
= $15.06
Thus, Her regular fare will be $15.06.
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A bank loan processing system has three components with individual reliabilities as shown: R 1 = 0.82 R 2 = 0.991 R 3 = 0.98 What would be the reliability of the bank system above if each of the three components had a backup with a reliability of 0.80? How would the total reliability be different?
To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.
In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:
R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801
So, the reliability of the bank loan processing system without backup components is approximately 0.801.
Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.
Let's calculate the reliability of each component with the backup:
R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984
R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988
R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992
Now, we calculate the overall reliability of the system with the backups:
R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981
Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.
Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.
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4. Bailey just ran four miles outside. Her time for each mile was 9.05/2,24/10/922. How long did it take for her to run all four miles?
Answer: 30 minutes, 51 seconds
Step-by-step explanation:
Given the time to run each miles to be
9.05/2,24/10/922. That is
9.05, 2.24, 10, 9.22
Time taken for her to run the entire four miles will be
9.05 + 2.24 + 10.0 + 9.22 = 30 :51
30 minutes, 51 seconds
if 4 -letterwords'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:(a) no condition is imposed.
The number of 4-letter words that can be formed without any condition imposed is 8,064.
To determine the number of 4-letter words that can be formed without any conditions, we can use the concept of permutations. Since we have 8 options (a, b, c, d, e, f, g) for each letter position, we can multiply the number of options for each position to find the total number of possibilities.
For the first letter position, we have 8 options to choose from. Similarly, for the second, third, and fourth positions, we also have 8 options each. Therefore, the total number of possibilities is:
8 options for the first position × 8 options for the second position × 8 options for the third position × 8 options for the fourth position = 8 × 8 × 8 × 8 = 8,064.
Hence, there are 8,064 possible 4-letter words that can be formed without any conditions imposed.
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The slope of a graph
Answer:
what are you asking?
Step-by-step explanation:
Slope formula is: (y2 minus y1) / (x2 minus x1)
70x590 which answer is right 41300 or 53200
Answer:
590x70 equals 41,300. Hope that helps
Answer:
41,300
Step-by-step explanation:
Step 1:
70 × 590
Answer:
41,300
Hope This Helps :)
Which figure is
misleading?
1) Figure A
2) Figure B
Answer:
Figure B.
Step-by-step explanation:
Figure A uses what is visually similar in size cylinders to give a detailed image of the amount of money (assumingly as profit). Each given cylinder that is in similar size represents $200, and so it is easy to figure out how the amount of money per store.
In the case of Figure A,
Save Store = $400
Leff's Store = $800
Low Pricer = $1200
In the case of Figure B, however, while it gives a legend for price per cylinder of that proportion, it does not make use of the legend, and does not give a adequate legend to decipher the Figure. In essence, the data given in Figure B is useless as it makes no use of its legend.
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the set x has cardinality 16. the set y has cardinality 24. and their intersection has cardinality 21. how many elements does contain?
The cardinality of a set refers to the number of elements in the set. If the set X has cardinality 16 and the set Y has cardinality 24, then the number of elements in set X is 16 and the number of elements in set Y is 2.
If their intersection has cardinality 21, then the number of elements that both sets have in common is 21.To determine the number of elements contained in the union of X and Y, we need to subtract the number of elements in their intersection from the sum of the cardinalities of X and Y. That is,
|X U Y| = |X| + |Y| - |X ∩ Y| = 16 + 24 - 21 = 19
Therefore, the union of X and Y contains 19 elements.
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Plz help me I don’t het this a question !!!
Answer:
C=50.24
Step-by-step explanation:
Formula for circumference with radius: 2\(\pi\)r
r= radius
C=circumference
Now subsitute the variables with the values given.
Formula: 2\(\pi\)r -> 2(3.14)(8)
C=50.24
match each expression to its equivalent expression
The expressions and their equivalent expressions are
x² - 16 = (x - 4)(x + 4)(2x + 1)² = 4x² + 4x + 1Matching the expressions to their equivalent expressionsFrom the question, we have the following parameters that can be used in our computation:
x² - 16
Using the difference of two squares, we have
x² - 16 = (x - 4)(x + 4)
Next, we have
(2x + 1)²
When expanded, we have
(2x + 1)² = 4x² + 4x + 1
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Question
Match each expression to its equivalent expression
x² - 16
(2x + 1)²
4x² + 4x + 1
(x - 4)(x + 4)
What is the answer ? (Evaluate if x=6, y=8, and z=3)
5x - (y + 2z)
The solution of the expression is 5x - (y + 2z) is 16.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 5x - (y + 2z). the values are x=6, y=8, and z=3. The expression will be solved as:-
E = 5x - (y + 2z)
E = ( 5 x 6 ) - ( 8 + 2 x 3 )
E = 30 - ( 8 + 6 )
E = 30 - 14
E = 16
Hence, the value of the expression is 16.
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what is the volume and with of a cube
3xX
Step-by-step explanation:
Simple question
Just don’t know how to put it in
please :))
Answer:
A. 102
B. 78
Step-by-step explanation:
mEG = 360 - 258 = 102°
m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°