The ratio of the complements of two angles is 3:2
The math department at a university is hiring a new professor. Two candidates for the job will be interviewed by the same five current department members. Each member will score candidates on a scale of 1 to 10, according to several important criteria. From the candidates' applications, the department head suspects that Candidate 1 is more qualified for the job than Candidate 2. These data are best analyzed using a. a one-sample t procedure. b. a two-sample t procedure. c. a matched pairs procedure.
The data in this scenario are best analyzed using a two-sample t procedure. The reason is that there are two distinct groups or samples being compared: the scores given by the department members to Candidate 1 and Candidate 2.
The department head suspects that Candidate 1 is more qualified, and the objective is to determine if there is a significant difference in the scores between the two candidates. A two-sample t procedure allows for the comparison of means between two independent groups. It tests the null hypothesis that there is no difference in the means of the two groups. In this case, the null hypothesis would be that there is no significant difference in the scores given by the department members to the two candidates. By conducting a two-sample t-test, the department can assess whether the evidence supports the department head's suspicion and make an informed decision regarding the hiring process.
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Which of the following is not a way to show that triangles are similar?
a) AAA similarity
b) SAS similarity
c) SSA similarity
d) SSS similarity
Option c) SSA similarity is not a way to show that triangles are similar.What is similarity?The term "similarity" implies that two things are similar. In geometry, two figures are similar if they have the same shape but are of different sizes.
There are various methods to show that triangles are similar, such as AAA similarity, SAS similarity, SSS similarity, and so on.SSA similarity is not a way to show that triangles are similar. SSA similarity is where two triangles share a pair of angles and one side that is opposite to one of the angles, but the triangles are not necessarily congruent. If two triangles have an equal angle and their corresponding sides are in the same ratio, they are only similar, not congruent. This method is inadequate for determining whether or not triangles are similar.
In geometry, two triangles are said to be similar if they have the same shape but are not necessarily the same size. In other words, the corresponding angles are equal, and the corresponding sides are proportional. It can be shown that if any two angles of one triangle are equal to any two angles of another triangle, then the third angles must also be equal. In this case, the triangles are said to be similar.Various methods exist to demonstrate that triangles are similar, including the AAA similarity, SAS similarity, SSS similarity, and so on. These methods all have different criteria for determining similarity.AAA similarity is when two triangles have three corresponding angles that are equal. The triangles are then considered to be similar.SAS similarity is when two triangles have two corresponding sides that are in proportion, and the included angle is equal. In this case, the triangles are said to be similar.SSS similarity is when two triangles have corresponding sides that are proportional. If all three pairs of corresponding sides are proportional, the triangles are similar.SSA similarity is not a method for proving similarity since it is not unique. In other words, two triangles can have the same angle-side-angle configuration and not be similar. The reason for this is that it is possible for one triangle to have a longer side than the other. In this case, the triangles would not be similar.
Option c) SSA similarity is not a way to show that triangles are similar. Two triangles can have the same angle-side-angle configuration and not be similar if one triangle has a longer side than the other. If two triangles have an equal angle and their corresponding sides are in the same ratio, they are only similar, not congruent. Therefore, the correct option is c).
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Malaki puts $250 in his savings account at 2.5% interest. How much will he have in his account after 7 years?
Malaki will have approximately $296.16 in his Savings account after 7 years.
To calculate the amount Malaki will have in his savings account after 7 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount in the account,
P is the principal amount (initial deposit),
r is the annual interest rate (expressed as a decimal),
n is the number of times interest is compounded per year, and
t is the number of years.
Given:
P = $250 (initial deposit),
r = 2.5% = 0.025 (interest rate expressed as a decimal),
n = 1 (interest compounded annually),
t = 7 (number of years).
Plugging these values into the formula, we have:
A = $250(1 + 0.025/1)^(1*7)
A = $250(1 + 0.025)^7
A = $250(1.025)^7
A = $250(1.184654712)
A ≈ $296.16
Therefore, Malaki will have approximately $296.16 in his savings account after 7 years.
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please answer my question
100+10% =
Answer:
110
Step-by-step explanation:
10% of 100 is 10
100+10=110
how many times does the number $41$ appear in pascal's triangle?
The number of rows in Pascal's triangle is equal to the number of terms in the polynomial expansion of the binomial (x + y)n, where n is a non-negative integer. Pascal's triangle is an infinite triangular matrix of integers that has many fascinating properties.
Then the number of times a number n appears in the kth position of Pascal's Triangle is given by the formula:⌊(n-k+1)/(k-1)⌋The symbol ⌊⌋ represents the greatest integer function, which returns the largest integer that is less than or equal to a given value.
Using this formula, we may calculate the number of times 41 appears in Pascal's Triangle. Since 41 is not a number that appears in the first few rows of Pascal's Triangle, we'll start with row 10, which is big enough to include 41 in a few places:
For row 10 of Pascal's Triangle, the formula becomes: ⌊(10-k+1)/(k-1)
⌋= ⌊(11-k)/ (k-1)⌋
If k = 1 or k = 10, the formula yields zero, as these positions correspond to the beginning and end of the row, where the numbers are always 1.
If k = 2, the formula yields:⌊(11-2)/1⌋
= 9
Thus, 41 appears 9 times in the second position of row 10 of Pascal's Triangle.
Similarly, if k = 3,
the formula becomes:⌊(11-3)/2⌋
= 4
Thus, 41 appears 4 times in the third position of row 10 of Pascal's Triangle.
If k = 4, the formula becomes:⌊(11-4)/3⌋
= 2
Thus, 41 appears twice in the fourth position of row 10 of Pascal's Triangle.
If k = 5, the formula becomes: ⌊(11-5)/4⌋
= 1
Thus, 41 appears once in the fifth position of row 10 of Pascal's Triangle.
Finally, if k > 5, the formula yields zero, since the number 41 does not appear in the remaining positions of row 10.
Therefore, the number 41 appears 9 + 4 + 2 + 1 = 16 times in row 10 of Pascal's Triangle.
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Matthew's brother gave him 10 video games. Each month, Matthew purchases 5 new video games to add to his collection
Which inequality can be used to find m, the number of months after starting his collection, when Matthew will have more than
100 games in his collection?
O 5m +10 > 100
O 5m + 10 < 100
O 10m +5 < 100
O 10m +5 > 100
Answer:
A:5m +10 > 100
Step-by-step explanation:
It said grater so > has to be pointing away from the 100.Also he gets 5 video games every month not ten video games, so it's A.
Also I did that question on the test.
Could I please have BRAINLIEST?The inequality function that should be used to find m is 5m +10 > 100.
Given that,
Matthew's brother gave him 10 video games. Each month, Matthew purchases 5 new video games to add to his collection There is more than 100 games in his collection. Here m be the no of months.Based on the above information, the inequality function is as follows:
5m +10 > 100
Therefore we can conclude that the inequality function that should be used to find m is 5m +10 > 100.
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In managing conflicts, what are the types of people you may deal [3] with? 2 Define each of the following: a. Viscosity b. dimensionally homogeneous c. numerical solution d. "Least Count" of a measuring instrument
In managing conflicts, you may deal with different types of people, such as assertive individuals, passive individuals, aggressive individuals, and passive-aggressive individuals.
Assertive Individuals: Assertive individuals are confident and express their opinions and needs in a direct and respectful manner. They are good at communication, actively listen to others, and seek win-win solutions in conflicts.
Passive Individuals: Passive individuals tend to avoid conflicts and often prioritize maintaining harmony over expressing their own needs or concerns.
Aggressive Individuals: Aggressive individuals tend to be assertive but in a negative and confrontational way. They may use intimidation, manipulation, or verbal and physical aggression to get their way. They often disregard the needs and feelings of others.
a. Viscosity: Viscosity refers to the measure of a fluid's resistance to flow. It describes the thickness or stickiness of a fluid, indicating how easily it flows or pours. High viscosity fluids are thick and flow slowly, while low viscosity fluids are thin and flow more easily.
b. Dimensionally Homogeneous: Dimensional homogeneity refers to the property of a mathematical equation or expression where all the terms have the same units and dimensions. In other words, the physical quantities on both sides of the equation have consistent units and dimensions.
c. Numerical Solution: A numerical solution refers to an approximation or solution obtained through computational methods rather than analytical methods. It involves using numerical algorithms or techniques to solve mathematical equations or systems of equations, especially when analytical solutions are not easily obtainable.
d. "Least Count" of a Measuring Instrument: The "Least Count" of a measuring instrument is the smallest value that can be measured or indicated by the instrument. It represents the resolution or precision of the instrument. For example, if the least count of a ruler is 1 mm, it means the ruler can measure lengths with an accuracy of 1 mm.
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Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
A.5√2 /2
B.5√3
C.5√2
D.5√3 /2
The value of the variable is A.5√2 /2
How to determine the valueWe are given to find the value of the variable 'x' in the figure.
We can see that the figure is a right-angled triangle with the length of the hypotenuse as follows:
h = 5 units.
Now, with respect to the angle of measure 45°, the length of the perpendicular is x units.
That is, p = x units.
From relations between trigonometric ratios, we have;
sin θ = opposite/hypotenuse
substitute the values, we get;
sin 45 = perpendicular/hypotenuse
1/√2 = p/h
1/√2 = x/5
cross multiply, we get;
x = 5/√2
x = 5√2/2
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1. Use the distributive property to factor the expression. 15x + 5
Answer:
5(3x + 1)
Step-by-step explanation:
Find common factors both number terms
Factors of:
15: 1 , 3 , 5 , 15
5: 1 , 5
The greatest common factor is 5. Divide 5 from both terms:
(15x + 5)/5 = (15x)/5 + (5)/5 = 3x + 1
Remember to move the 5 to the outside of the parenthesis:
5(3x + 1) is your answer.
~
PLZ HELP FAST ! find the value of x
Answer:
The answer to x is 7
Step-by-step explanation:
because 4x7 is 28 and + 4 = 36
45 points in 3 games
Answer:
what do you mean? for the question
fastest to lowest
= 13.04 seconds
= 13.06 seconds
= 13.4 seconds
= 13.6 seconds
= 13.12 seconds
Four times a number increased by 3 is -89
Answer:
-21.5
Step-by-step explanation:
Answer:
-21.5
Step-by-step explanation:
so we will go backwards -89 + 3 = -86
-86/4 = -21.5
Hope this helps!
Please helpppp. Find center and radius of the circle with this equation x^2+y^2=9
Answer:
center: (0, 0)radius: 3Step-by-step explanation:
Compare the equation to the standard form for the equation of a circle:
(x -h)² +(y -k)² = r² . . . . center (h, k), radius r
x² + y² = 9
We can see that h = k = 0, and r = √9 = 3.
The center is (0, 0), and the radius is 3.
Given: NM || PO and Angle 1 is congruent To angle 3
Prove: LM || NO
Given
Transitive property
Alternate interior angle theorem
Converse alternate interior angle theorem
Answer:
i. LM || NO (converse alternate interior angle theorem)
ii. <1 ≅ <2 (alternate interior angle theorem)
Step-by-step explanation:
Two or more lines are said to be parallel if they do not meet when extended, even till infinity.
Alternate angles are said to be equal in measure.
Given that;
<1 ≅ < 3,
Since <2 ≅ <3 (alternate interior angle theorem)
Then,
<1 ≅ <2 (transitive property)
Also,
<1 ≅ <2 (alternate interior angle theorem)
Therefore since <1 ≅ <2, thus;
LM || NO (converse alternate interior angle theorem)
∠1 and ∠2 are alternate interior angles .
Alternate interior anglesAlternate interior angles are the angles formed when a transversal intersects two coplanar lines. Alternate interior angles are congruent. Therefore,
∠2 ≅ ∠3 (alternate interior angles)
Since line LM is parallel to line NO, ∠1 and ∠2 are alternate interior angles.
Therefore,
∠1 ≅∠2 (alternate interior angles)
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(X+7) (x-4) = 0 plz solve
Answer:
Xsquared +3x -28
Step-by-step explanation:
Use foil so first to the 3rs then first to the 4th then 2nd to the 3rd then 2nd to the 4th.
x squared minus 4x plus 7x minus 28
There is a total of 80 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North Department has 23 firefighters. The East Department has 13 firefighters. Let W represent the number of firefighters in the West Department and S represent the number of firefighters in the South Department. Which of the following could represent the number of firefighters at the West and South Department? Choose ALL that apply.
Give three examples of Bernoulli rv's (other than those in the text). (Select all that apply.) X = the number of fiction books owned by a randomly selected student and X = 0 if there are none
x = the number of lightbulbs that needs to be replaced in a randomly selected building and X=O if there are none
.X = 1 if a randomly selected book is fiction and X = 0 otherwise
0 x = 1 if a randomly selected driver has automoble insurance and X = 0 otherwise.
0 x = 1 if a randomly selected driver has automoble insurance and X = 0 otherwise.
x = the number of accidents caused by a randomly selected driver and X = 0 if there are none.
The Bernoulli Distribution refers to a discrete probability distribution of a random variable that takes only two possible outcomes: 1 (with probability p) and 0 (with probability q=1-p)
p is the probability of success (the occurrence of the event) and q is the probability of failure (the non-occurrence of the event).
Three examples of Bernoulli random variables (rv’s) are:
X = 1 if a randomly selected book is fiction and X = 0 otherwise.
X = the number of fiction books owned by a randomly selected student and X = 0
if there are none.x = the number of accidents caused by a randomly selected driver and X = 0 if there are none
In conclusion, the Bernoulli distribution is a probability distribution of a random variable that takes only two possible outcomes: 1 and 0, where p is the probability of success and q is the probability of failure. There are several examples of Bernoulli rv’s, including those related to books owned by a student, the number of accidents caused by a driver, and more.
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which of the rectangular solids shown above has a volume closest to the volume of a right circular cylinder with radius 2 and height 4 ?
The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.
Which volume of the rectangular solids is similar to volume of a right circular cylinder?Cuboid A:
Volume of rectangular solid = length × width × height
= 3 × 3 × 3
= 27 cubic units
Cuboid B:
Volume of rectangular solid = length × width × height
= 3 × 3 × 4
= 36 cubic inches
Cuboid C:
Volume of rectangular solid = length × width × height
= 5 × 4 × 3
= 60 cubic inches
Cuboid D:
Volume of rectangular solid = length × width × height
= 4 × 4 × 4
= 64 cubic inches
Cuboid E:
Volume of rectangular solid = length × width × height
= 4 × 4 × 3
= 48 cubic inches
Right circular cylinder:
Radius, r = 2
Height, h = 4
Volume of right circular cylinder = πr²h
= 3.14 × 2² × 4
= 3.14 × 4 × 4
= 50.24 cubic units
Hence, rectangular solid E is similar to right circular cylinder.
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a fruit basket contains 12 red apples 6 green apples pineapple and oranges .in simplest form write the ratio of green apples to pineapples
Answer:
I think that the ratio is 1:1
Step-by-step explanation:
Because since the ratio is 6:6, you have to divide both side by 6 and get 1:1. You can't divide it no more (unless if you want it as a decimal). Hope this helped. This is an update.
a college bookstore makes an order to replenish its stock of three different types of paper: college rule line paper, legal rule line paper, and graph paper. in addition, the paper is purchased bound as either spiral notebooks or paper pads. the table below shows the store's order. bookstore order of different types of paper college rule legal rule graph spiral notebooks 175 175175 60 6060 75 7575 paper pads 90 9090 110 110110 125 125125 if a graph paper item from the order is selected at random, what is the percent probability that the item is bound as a paper pad? (ignore the % %percent symbol when entering your answer. for example, if the answer is 12.4 % 12.4, point, 4, percent, enter 12.4 12.412, point, 4.)
The percent probability that the item is bound as a paper pad is 68%.
The probability that a graph paper item selected at random is bound as a paper pad can be found as follows:First, the total number of graph paper items should be determined.
There are 60 graph spiral notebooks and 125 graph paper pads, for a total of 60 + 125 = 185 graph paper items.
Next, the number of graph paper items that are bound as paper pads should be determined.
There are 125 graph paper pads, so the probability of selecting a graph paper item that is bound as a paper pad is:125 / 185 = 0.68 (rounded to two decimal places)
Therefore, the percent probability that the item is bound as a paper pad is 68%.
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Mrs. Chatman buys popcorn for $4.97 and a coke priced at $3.43. She gives the cashier a $20 bill. How much change should she receive? right answer please ill give brainliest
Answer:
$11.60 (see below)
Step-by-step explanation:
First, you need to find the total cost of the two items bought:
Add the two decimals together:
1 1
$ 4 . 9 7
+ $ 3 . 4 3
$ 8 . 4 0
So the total cost was $8.40.
If this was paid by $20, then you will have to subtract the cost:
1 9 10
$ 2 0 . 0 0
– $ 8 . 4 0
$ 1 1 . 6 0
So the change was $11.60.
-3w² + x2 – 5W + 4x²
Answer:
-3w^2+5x^2-5w
Step-by-step explanation:
The length r of a rope should be at least 28
inches.
Answer:
can you tell me what the question is
The inequality of the problem is [tex]r[/tex] ≥ [tex]28[/tex]
If the length of the rope is at least 28 in that means that the length of the rope can be 28 or higher, so the inequality sign is ≥
What is the equation of the line through (2, 3) and (0, -1)?
A. y = 2x+1
B. y = 2x-1
C. y = -2x + 1
D. y= –2x-1
Answer:
it's B
solve as given by using the formula of slope and then the equation
PLEASE HELPPPPPP
What is 1.0x 10^5 written in standard notation???????
Answer: 100000
Step-by-step explanation:
= 1.0 × 105
(scientific notation)
= 1.0e5
(scientific e notation)
= 100 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 100000
(real number)
Answer:
100000.0
Step-by-step explanation:
you would move the decimal over 5 spaces
are the 2 triangles below similar
-167 - 8x = 123 + 2x
answer X= -29
or falls
The following scores represent students' test grades in Mr. Preisser's fashion class.
Test Scores
79 83 79
88 93 88
83 79 83 79 83 79
93 88 93 88 93 88
What is the median score for Mr. Preisser's fashion class?
A
93
B
83
88
D
85.5
E
I don't know yet
Answer:
Definitely 85.5
Just worked it out
Answer:
85.5
Median: The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers). When there is an even number of terms, add the two middle terms and divide by 2.
Step-by-step explanation:
79, 83, 88, 93
83 + 88 = 171
171 ÷ 2 = 85.5
