In order to answer this issue, I need to identify an LCD, or least common denominator—something that unites all of the group members. We had all previously worked for the same employer, so that was our common denominator.
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.
Prime number seven.
7*8 = 56
56 is the lowest common factor.
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
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Find the 50th percentile from the following sorted list of 34 data
128 134 144 146 153
190
207 209
220
221
237
256
263 265
271
273
283
324 350
371
389 401 416 417
422
424 443 444
448 466
486
487 490 500
50th percentile =
Enter an integer or decimal number [more..]
Question Help: Message instructor
The 50th percentile value is 303.5.
What is a percentile?
A percentile is a term used in statistics to express how a score compares to other scores in the same set. While there is technically no standard definition of percentile, it's typically communicated as the percentage of values that fall below a particular value in a set of data scores.
Percentiles are commonly used to report values from norm-referenced tests (in which the average is determined by comparing a set of results in the same group) as the percentages of scores that fall below those of the average of the set.
For calculation we have to add all the given numbers.
(128+134+144+146+153+190+207+209+220+221+237+256+263+265+271+273+283+324+350+371+389+401+416+417+422+424+443+444+448+466+486+487+490+500) divided by 34
hence 50th percentile is 303.5
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A university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed regarding news from other countries. A standardized test is used to assess students’ knowledge of world events (national reported mean= 65, S = 5). A sample of 30 students is tested (sample mean=58, Standard Error=3.2). Compute a 99 % confidence interval based on this sample data. How do these students compare to the national sample?
A university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed regarding news from other countries. A standardized test is used to assess students’ knowledge of world events (national reported mean= 65, S = 5). A sample of 30 students is tested (sample mean=58, Standard Error=3.2). Compute a 99 % confidence interval based on this sample data. How do these students compare to the national sampl
:Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. In fact, in classical Newtonian mechanics, there is no important distinction between rest and uniform motion in a straight line; they may be regarded as the same state of motion seen by different observers, one moving at the same velocity as the particle and the other moving at constant velocity with respect to the particle. This postulate is known as the law of inertia.
A crab moves at a speed of 0.14 kilometers per hour. How far can it travel for 0.25 hours?
Answer:
0.14×0.25= 0.035 KM
so it can travel 0.035KM in 0.25 hr
Answer:
0.035 kilometers
Step-by-step explanation:
Proportions:
0.14 kilometers ⇒ 1 hour
A kilometers ⇒ 0.25 hour
A = 0.14 kilometers * 0.25 hour / 1 hour
A = 0.035 kilometers
“Back home, my tíos and tías, and primas, Mami and Papi, and mis hermanas had a party for me with sancocho and a store-bought pudín, inscribed with Happy Graduation, Julie.”
—“Names/Nombres,”
Julia Alvarez
Which inference would this passage best support?
The people at the store do not share Julia’s heritage.
Julia is very upset about her party.
Julia’s family does not speak Spanish.
Pudín is not a Dominican dessert.
An inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.
What is deductive reasoning?Deductive reasoning can be defined as a type of logical reasoning that typically involves drawing conclusions based on a given set of rules and conditions, or from one or more premises (factual statements) that are assumed to be generally (universally) true.
What is an inference?An inference can be defined as a process through which a reader can logically deduce the meaning or message (information) that is associated with a literary work, especially through induction.
Since "Happy Graduation, Julie." and "Names/Nombres," were inscribed on the gift, it ultimately implies that the people at the store were obviously of English speaking heritage, rather than Spanish (Julia’s heritage).
In conclusion, we can reasonably infer and logically deduce that an inference which this passage would best support is that: A. the people at the store do not share Julia’s heritage.
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Answer: A
Step-by-step explanation:
Alex, Bob and Carl go for a walk every day. If Alex doesn't wear a hat, then Bob wears
a hat. If Bob doesn't wear a hat, then Carl wears a hat. Today Bob is not wearing a hat.
Who is wearing a hat?
Answer:
Carl and Alex are wearing hats.
Step-by-step explanation:
If Bob doesn't isn't wearing a hat, then Carl is, so Carl clearly is wearing a hat.
Now let's look at Alex. If he wasn't wearing a hat, then Bob would be wearing one. (If Alex doesn't wear a hat, then Bob wears
a hat). The logical conclusion is that Alex must be wearing a hat as well.
What is 9.06 divided by 9?
For a rectangle with a perimeter of 20 cm, the width of the rectangle is one-third its length. Use an equation to find the length and width of the rectangle.
Answer:
Step 1. The perimeter P means adding up all four sides of a rectangle.
Step 2. Let w be the width
Step 3. Let 3w be the length since the width is one-third the length
Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.
Step 5. Solving the equation in Step 4 leads to the following steps
Divide by 8 to both sides of the equation
8w%2F8=20%2F8
w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.
Step 6. ANSWER: The width is 5/2 cm.
Step-by-step explanation:
I hope the above steps and explanation were helpful.
HELP ASAP!!!
Evaluate the polynomial for the given value by using synthetic division.
P(x) = 3x4 - x³ + 7x - 2 for x = 4 and x = -2
A.802; 52
B.-238; 32
C.730; 40
D.202; -44
Answer:
I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4
Step-by-step explanation:
Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below he Part A Choose the compound inequality that describes the elevation x of Ted's house.
A 113 < 15 - x<120
B. 113 < x + 15 <120
C. 113 < x < 120
D. 113 <x - 15 < 120
The compound inequality that describes the elevation x of Ted's house with respect to Sakura's house is: D. 113 < x - 15 < 120.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the information provided, the minimum and maximum heights for Sakura's house can be represented by this compound inequality:
113 < x < 120
Since Ted lives about 15 meters below her, compound inequality would be rewritten as follows:
113 < x - 15 < 120.
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A rocket is launched vertically upward with an initial velocity of 40 ft/sec. Its height h
in ft above the ground after t seconds can be represented by the following equation.
How many seconds will it take the rocket to hit the ground? Round to the nearest
hundredth.
h = - 16t² + 40t + 8
The rocket will take a time of approximately 2.686 seconds to hit the ground.
How much time does a rocket need to hit the ground?
The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:
- 16 · t² + 40 · t + 8 = 0
(t - 2.686) · (t + 0.186) = 0
Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.
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If lineman works 9-
hours a day on a certain job at $26.00 per hour, what is the pay for a day?
Answer:
234$
Step-by-step explanation:
9x26=234
1. Which of the following sequences are arithmetic?
For those sequences that are arithmetic, identify
d and write an expression for an, in terms of n, the
term number.
I. 100, 98, 96, 94, . . .
II.
64, 32, 16, 8, ...
III. 2¹+1, 22+1, 23 +1,24 + 1,...
IV.
3 13 17 7
4'12'12'4
.....
The arithmetic sequence from the collection is I
an = 100 +( n + 1) 2
What is an arithmetic sequence?For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.
The nth term of an arithmetic sequence is expressed as;
[tex]an = a + ( n + 1) d[/tex]
Thus, the arithmetic sequences are given as follows:
100, 98, 96, 94, . . . d = 2For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:
The nth term is given as;
an = 100 +( n + 1) 2
Thus, the arithmetic sequence from the collection is I
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3. Clearcut Lumber sells its dimensional lumber with a markup of 60%
What rate of margin do they use?
A batch of plywood sells for $500 what was the cost?
Fence posts with a cost of $10 would sell for how much?
The gross profit on the sale of some 4 by 4's was $50 what was the selling price?
The rate of margin used is 37.5% . The cost price of the batch of plywood is $312.5. Fence post sell for $16. The selling price was $133.33
Margin is the difference between the Selling price and the cost price. The price at which a item is sold is called the selling price and the price at which an item is bought is called the cost price.
The given markup is 60%.
We know that margin=markup÷(1+markup)
markup=60%
Substituting the values we get the rate of margin:
[tex]=\frac{\frac{60}{100} }{1+\frac{60}{100} } \\=\frac{60}{160}\\ =37.5[/tex]
Hence the rate of margin is 37.5 %.
Selling price for the plywood=$500
We know that selling price=cost price ÷(1-margin)
Let the cost price be x
[tex]x=500(1-\frac{37.5}{100} )\\x=312.50[/tex]
The cost price is $ 312.50 .
Now cost of fence = $10
Selling price of fence=cost price÷(1-margin)
substituting the values we get:
Selling price =10÷0.625
or, selling price= $16
Therefore the selling price is $16 .
Now we know that Markup percentage= profit÷ cost price
Substituting the values we get:
[tex]60\% = \frac{50}{CP}\\or,\frac{60}{10}=\frac{50}{CP}\\or,CP=83.33[/tex]
Therefore sell price=cost price+ profit
or, sell price=83.33+50
or, sell price =133.33
The sell price is $133.33
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There are 10 marbles. What is the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw?
Answer: 1/10
Step-by-step explanation:
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
The typical average price of gasoline should be $2.81 and not $2.69 because $2.69 is not the average of the sampled prices.
What is the mean of the sample?
We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.
Thus, to calculate the mean, we will use the formula;
Mean = ∑x/n
Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5
Mean = 14.05/5
Mean = $2.81
Thus, the typical average price of gasoline should be $2.81 and not $2.69
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Kiyana's grandmother has a collection of hats for special occasions. Each hat is in a cube-shaped box with edges 1 ft long. She stores the boxes in a rectangular closet with the dimensions shown. Length = 6 ft N Height = 9 ft Width= 5 ft 3 4 5 > 2 of 5 Completed What is the maximum number of boxes that Kiyana's grandmother can fit inside the closet? Choose one option from each drop-down menu to answe the question. Kiyana's grandmother can fit a maximum of [ ] boxes along the length,[. ] boxes along the wide and [ ]boxes along the height of the closet. This means she can fit a maximum of [ ]boxes inside the closet
The maximum number of cubical boxes of side 1 feet that can be placed in a rectangular closet of length 6 feet, height 9 feet and breadth 5 feet is 270 boxes. Maximum number of boxes that can be placed along the length, height and breadth will be 168 boxes, 198 boxes and 150 boxes respectively.
Since the cube shaped boxes of length 1 feet are to be placed in the rectangular closet, the maximum number of boxes that will fit completely would be given as a comparison of volume of rectangular closet being equal to product of number of boxes and volume of 1 cubical box.
Volume of rectangular closet = Number of boxes * Volume of 1 cubical box
6 * 9 * 5 = n * (1*1*1)
Therefore, n = 270 boxes.
To calculate maximum number of boxes that will fit along the length would be calculated as product of length and breadth along 2 faces of closet and length and height along another 2 faces of closet.
Thus, [(9*6) + (9*6) + (6*5) + (6*5)] = 168 boxes along the length.
Similarly, to calculate maximum number of boxes that will fit along the height would be calculated as product of height and breadth along 2 faces of closet and length and height along another 2 faces of closet.
Thus, [(9*6) + (9*6) + (9*5) + (9*5)] = 198 boxes along the height
Similarly, to calculate maximum number of boxes that will fit along the breadth would be calculated as product of height and breadth along 2 faces of closet and length and breadth along another 2 faces of closet.
Thus, [(5*6) + (5*6) + (9*5) + (9*5)] = 150 boxes along the breadth.
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Write the number described by
I ten 16 ones.
Answer:
26
Step-by-step explanation:
10 + 26 = 26
Answer:
26
Step-by-step explanation:
1 × 10 + 16 × 1 = 10 + 16 = 26
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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See the attached screenshot.
The Area of the given composite shape is; 40 square units
What is the Area of the Composite Shape?
We can breakdown the shape into triangle and rectangle and as such we know that;
Formula for area of triangle is;
Area = ¹/₂ * base * height
Formula for area of rectangle is;
Area = Length * Width
Thus;
Area of composite shape = (10 * 3) + (¹/₂ * 10 * 2)
Area of composite shape = 30 + 10
Area of composite shape = 40 square units
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A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $1.90 and then an additional 6 cents per minute of use. In
Plan B, there is no monthly fee, but the customer pays 7 cents per minute of use.
For what amounts of monthly phone use will Plan A Cost than Plan B?
Use m for the numbers of minutes of phone use in a month, and solve your inequality for m.
Step-by-step explanation:
sadly you skipped the key word in the question.
should we check under what circumstances plan A costs more than plan B ? or costs less than plan B ?
so, I don't know which inequality to solve.
but I can tell you the facts, and you need to pick the right direction for your answer.
cost of plan A for used minutes m :
cA(m) = 1.9 + 0.06m
plan B
cB(m) = 0 + 0.07m = 0.07m
to find the intersecting point, where both plans cost the same :
1.9 + 0.06m = 0.07m
1.9 = 0.01m
m = 1.9 / 0.01 = 190 minutes
up until 190 minutes plan B is cheaper.
if there are more than 190 minutes, than plan A is cheaper.
so,
m < 190 B is cheaper
m > 190 A is cheaper
m = 190 A and B cost the same
You throw a fair six-sided die twice, each number has the same probability,
then add the two numbers. What is the probability of getting a number
divisible by five ?
The probability of getting a number divisible by five is 1 / 9.
We are given that:
a fair six-sided die is thrown 2 times.
Sample space will be:
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Let E = probability of getting a number divisible by five
Possible outcomes:
= { (1, 4), (2, 3), (3, 2), (4, 1) }
P(E) = 4 / 36 = 1 / 9
Therefore, the probability of getting a number divisible by five is 1 / 9.
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i need help this is due tomorrow
Can you please help me
Jada cuts a strip of paper into 5 equal parts. Each part is 7/5 inches long. How long was the strip of paper?
The length of the strip of paper is 7 inches.
How to calculate the value?From the information, Jada cuts a strip of paper into 5 equal parts and each part is 7/5 inches long.
Therefore, the length of the strip will be:
= 7/5 × 5
= 7 inches.
The length is 7 inches.
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Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Answer:
(a) [tex]\frac{620}{3195}[/tex]
(b) [tex]\frac{645}{3195}[/tex]
Step-by-step explanation:
Relative frequency of an event = Event Frequency/Total Frequency
In this case the event is the number of responses for each reason and the total frequency is the sum of all responses.
Total Responses = 583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195
(a) What is the relative frequency for the reason "study hard"?
= Number of responses for "study hard" / 3195
= 620/3195
==> [tex]\frac{620}{3195}[/tex] Answer to (a)
(b) What is the relative frequency for the reason "have a goal in mind"?
= Number of responses for the reason "have a goal in mind"/3195
= 645/3195
==> [tex]\frac{645}{3195}[/tex] Answer to (b)
I think it is OK to leave it as it is without reducing the fraction any further
I need help I can’t find answer
Reason: It's 3 spaces from J to K, or vice versa.
We can subtract and use absolute value to get the same result
|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3
or
|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3
√₂
You invested $7000 between two accounts paying 5% and 8% annual interest, respectively. If the total interest
earned for the year was $500, how much was invested at each rate?
was invested at 5% and $ was invested at 8%.
Save
>
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
Simple Interest Formula
I = Prt
where:
I = interest earned.P = principal invested.r = interest rate (in decimal form).t = time (in years).Given:
Total P = $7000P₁ = principal invested at 5%P₂ = principal invested at 8%Total interest = $500r₁ = 5% = 0.05r₂ = 8% = 0.08t = 1 yearCreate two equations from the given information:
[tex]\textsf{Equation 1}: \quad \sf P_1+P_2=7000[/tex]
[tex]\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500[/tex]
Rewrite Equation 1 to make P₁ the subject:
[tex]\implies \sf P_1=7000-P_2[/tex]
Substitute this into Equation 2 and solve for P₂:
[tex]\implies \sf 0.05(7000-P_2)+0.08P_2=500[/tex]
[tex]\implies \sf 350-0.05P_2+0.08P_2=500[/tex]
[tex]\implies \sf 0.03P_2=150[/tex]
[tex]\implies \sf P_2=\dfrac{150}{0.03}[/tex]
[tex]\implies \sf P_2=5000[/tex]
Substitute the found value of P₂ into Equation 1 and solve for P₁:
[tex]\implies \sf P_1+5000=7000[/tex]
[tex]\implies \sf P_1=7000-5000[/tex]
[tex]\implies \sf P_1 = 2000[/tex]
$2000 was invested at 5% and $5000 was invested at 8%.
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QUESTION 4
Which of these is not a very good example of a command economy?
a.)China
b.)Soviet Union
c.)United States during WWII
d.)United States today
(d) the Present United States is not a good example of a command economy.
A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.
The principal alternative to a command economy is a free market b where supply and demand determine prices and output.
A communist political system includes a command economy, whereas capitalist countries have a free market.
Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.
The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.
There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.
Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.
Hence, the United States today is not a very good example of a command economy.
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Communicate and Justify Which is
Greater, 4/7 x 1/4 or 4/7 x 1/6? Explain.
It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
How to illustrate the information?It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.
Therefore 4/7 x 1/4 will be:
= 4/7 × 1/4
= 1/7
Also 4/7 x 1/6 will be:
= 4/7 × 1/6
= 2/21
Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
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Please hurry
Solve for c.
a = 11+4b- 4c
i think c is correct
Answer:
I'm not sure, but what I got as my answer was c= -a/4 + 11/4 + b
Step-by-step explanation:
