The answers to match the inequality and the situation it represents is below!
Carlos scored over 20 points = (c > 20)The cost is at most $10 = (c ≤ 10)The chair is shorter than 20 in = (c < 20)Cathenne biked farther than 10 miles = (c > 10)The bag contains fewer than 10 carrots = (c < 10)What is the inequality which represents each situation?Let
The variable = c
Less than <
Greater than >
Less than or equal to ≤
Greater than or equal to ≥
Equal to =
Carlos scored over 20 points
c > 20
The cost is at most $10
c ≤ 10
The chair is shorter than 20 in
c < 20
Cathenne biked farther than 10 miles
c > 10
The bag contains fewer than 10 carrots.
c < 10
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Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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What is the measurement, in degrees, of angle 1?
Answer:
180 - 55 = angle 1
80 - 55 = 25 so 180 - 55 = 125
angle 1 = 125 degrees
-x^2-25 divided by x2-2x-15
Answer:
Step-by-step explanation:
-x^2-25/x^2-2x-15
hope it helps :)
if the value stated by a null hypothesis is ______ the confidence interval, then the decision would have likely been to retain the null hypothesis.
If the value stated by a null hypothesis is within the confidence interval, then the decision would have likely been to retain the null hypothesis.
In hypothesis testing, the null hypothesis represents the default assumption or the claim that there is no significant difference or relationship between variables. The confidence interval, on the other hand, provides a range of plausible values for the population parameter based on sample data. If the value stated by the null hypothesis falls within the confidence interval, it means that the null hypothesis value is considered plausible or consistent with the observed data.
In this case, there is insufficient evidence to reject the null hypothesis, and the decision would be to retain it. On the other hand, if the null hypothesis value is outside the confidence interval, it suggests that the null hypothesis is unlikely, and the decision would be to reject it in favor of an alternative hypothesis.
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Find the area of the surface obtained by rotating the curve y=1+5x2 from x=0 to x=2 about the y -axis. computed using the method of disks or washers via an integral
The surface area obtained by rotating about the y -axis is 168.159.
What is Integration?In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.
We have the function y=1+5x² from x=0 to x=2 about the y -axis.
So, the Surface are is
S = 2π ∫ R(x) √ (1+ f'(x)²}
Then, f'(x) = 10x
Then, S = 2π ∫ R(x) √ (1+ f'(x)²}
= 2π ∫ (1+5x²) √ (1+100x²)
= 1/150 (401 (√401-1)) π
= 168.159
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What is the definition of a constant term?
Answer: A fixed value.
Step-by-step explanation: In Algebra, a constant is a number is by itself, or sometimes a letter such as a, b or c to stand for a fixed number.
Example: in "x + 5 = 9", 5 and 9 are constants.
7.80/hour=________ cents/minute?
Answer: 0.13 cents per minute.
Step-by-step explanation:
7.80 divided by 60(min per hour.)= .13 cents.
Ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold.
Answer:88
Step-by-step explanation:
1.10c+2.35s=294.20
C+S=172
1.10c+2.35s=294.20 if you multiply by 100.
110c+235s=29420
-110 (cones + sundaes =172)
-110c-110s=-18920
125s/125=10500/125
S= 84
C+84=172
-84. -84
C= 88
Lamar can run 3 miles in 18 minutes. At that rate, if he could keep up that pace, how far could he run in one hour?
Answer: 10 miles
Step-by-step explanation:
by unitary method
18mins/3 miles
=> 6 mins per mile
=>1 hour = 60 mins
=> 60/6mins = 10
therefore he can run 10 miles in 1 hour
hope it help ;)
What is the surface of the prism?
Given :-
Length :- 8mWidth :- 10Height :- 10mTo find :-
Surface areaSolution :-
formula for Surface Area = 2(LW + WH + HL)
putting the known values,Surface Area = 2(8×10 + 10×10 + 10×8) m²
Surface Area = 2(260) m²
Surface Area = 520m² ( Option C)
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. xy, (-4,1,) (-2,-5,)( 6,-7)
The cοοrdinates οf the fοurth vertex are (4,-1).
Tο find the fοurth vertex οf the parallelοgram, we need tο use the fact that οppοsite sides οf a parallelοgram are parallel and have the same length. We can use the given three vertices tο determine the vectοr representing οne οf the sides οf the parallelοgram. Then, we can extend that vectοr tο find the fοurth vertex.
Let's take the vectοrs representing twο adjacent sides οf the parallelοgram:
v1 = (-4,1) - (-2,-5) = (-2,6)
v2 = (6,-7) - (-4,1) = (10,-8)
Since οppοsite sides οf a parallelοgram are parallel, v1 and v2 must be parallel. This means that we can find the fοurth vertex by adding v1 tο the third vertex, (6,-7):
v4 = (6,-7) + v1 = (6,-7) + (-2,6) = (4,-1)
Therefοre, the cοοrdinates οf the fοurth vertex are (4,-1).
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Complete question:
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Determine if 0.625 is rational or irrational and give a reason for your answer.
0.625 is a rational number. A rational-number is the number that can be expressed as ratio of two integers with a denominator (not zero).
What is rational and irrational number?
A rational number is a number which can be expressed as the product of two integers with non-zero denominators.In other words, it is a number that can be written in the form of p/q,
where:
p and q -> integers
and q -> not equal to 0.
An irrational number, is just opposite, it cannot be expressed as the ratio of 2 integers.It is a number that cannot be written as a simple fraction, and its decimal expansion continues indefinitely. The most famous examples of irrational numbers are π and √2.
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The scores on a test given to all juniors in a school district are normally distributed with a mean of 79 and a standard deviation of 7. Find the percent of juniors whose score is no more than 86. The percent of juniors whose score is 86 or below is %.
Answer:
p (x -<-89) = p( _x_-_75_ < _ 89_- __75__) = p (z <_ 2) = 0.9773= 97.73%
7 7
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Divide the fraction and then simplify to its lowest form.
3/10 ÷ 3/4
9/14
12/30
2/5
none of these
Answer:
2/5
Step-by-step explanation:
3/10÷3/4
3/10×4/3
4/10
2/5
Find the probability that the spinner lands on a multiple of 3 or a dark green region. Give your
simplest form.
Answer: "A. 3/8"
Step-by-step explanation:
STEP 1: Determine the probability the spinner lands on a multiple of 3. To do this, write out the numbers on the spinner (1-8), and cross out every non-multiple of three (1, 2, 4, 5, 7, 8), this will leave the numbers 3 and 6 unmarked. This being said, 2/8 (1/4) of the numbers on the spinner are multiples of 3.
STEP 2: Determine the probability the spinner lands in a dark green region. In order to do this, write the numbers on the spinner out (1-8), and circle every number representing a dark green region (1, 3, 5, 7). This should leave four numbers (2, 4, 6, 8) un-circled, meaning 4/8 (1/2) of the numbers represent a dark green region.
STEP 3: Add the two answers together (1/4 + 1/2), and you should get the answer 3/8 (A).
NOTE: When adding fractions, make sure they have the same denominators. For example, in this problem, changing 1/2 to 2/4, and doing 1/4 + 2/4, instead of 1/4 + 1/2.
PLEASE HELPPP
6. APPLICATION On October 2, 2008, Sal invested $24,000 in a bank account earning 3.4% annually, compounded monthly. On November 1, one month’s interest was added to his account. The next day Sal withdrew $100. He continued to withdraw $100 on the second day of every month after that. He records his account balance in a table.
a. Find the missing values in the table.
b. Write a recursive formula for the balances on the second day of each month. Start with a0 = 24,000.
c. What is the value of a4? What is the meaning of this value?
d. What will the balance be on October 2, 2009? On October 2, 2011?
1) The missing values of the balance are;
December 1, 2008; $24035.91
January 1 2009; $24103.91
January 2, 2009; $24003.91
2) The recursive formula is; Aₙ = Aₙ ₋ ₁(1.00283)
3) The value of A₄ is ; A₄ = $24172.12 and it means the balance after 4 months
How to Write a Recursive Formula?1) On December 1, 2008, the balance will be;
23935.91 + 100 = $24035.91
On January 1 2009, his balance was;
$24035.91 + $68 = $24103.91
On January 2, 2009, his balance was;
$24103.91 - $100 = $24003.91
2) Formula for compound interest is;
A = P(1 + r/n)^(nt)
where;
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Thus, from the given data, we have;
r/n = 3.4%/12 = 0.00283
sine annually, then nt = 1
Thus, the recursive formula is;
Aₙ = Aₙ ₋ ₁(1 + 0.00283)
Aₙ = Aₙ ₋ ₁(1.00283)
3) The Value of a₄ is;
A₄ = A₄ ₋ ₁(1.00283)
A₄ = A₃(1.00283)
This means 4 months later and we have;
A₄ = $24103.91(1.00283)
A₄ = $24172.12
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Find the slope and y-intercept.
m = slope b = y-intercept
y = 5x + 12
m = [?]
b = [?]
Answer:
m=5
b=12
Step-by-step explanation:
the slope is the number before x and y intercept is the integer without variables
three charged particles are at the corners of an equilateral triangle:
The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.
The force exerted on the 7.00−μC charge by the 2.00−μC charge is
F₁ = \(k_{e}\)q₁q₂/r₂ r^
= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^)]/ (0.500m)²
F₁ = (0.252i^+0.436j^)N
Similarly, the force on the 7.00μC charge by the −4.00−μC charge is
F₂ = \(k_{e}\)q₁q₃/r² r^
= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)×(cos60°i^−sin60°j^)]/(0.500m)²
F₂ =(0.503i^−0.872j^)N
Hence, the total force on the charge 7.00−μC is
F = F₁+F₂
=(0.755i^−0.436j^)N
We can also note the total force as:
F = (0.755N)i^−(0.436N)j^ = 0.872N
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--This question is incomplete; the complete question is
"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--
What is the constant of proportionality in the table below?
x 5 10 6 9 2
y 15 30 18 27 6
1/3
5
3
15
Answer:
1/3
Step-by-step explanation:
constant proportionality = x/y
x1/y1 , x2/y2 , x3/y3 , ....
5/15 , 10/30 , 6/18 , 9/27 , 2/6
= 1/3 , 1/3 , 1/3 , 1/3 , 1/3
since in all the cases x/y = 1/3 ,
Therefore, the contant proportionality in the given table is 1/3
Hope it's helpful..
geometry solve for X
Consider the O-ring Model. Suppose we have 2 types of workers: H-type (with q=0.6) and L-type (with q=0.4). If there are 6 workers, 3 of each type, based on the O-ring model, how should we allocate these workers to get the maximum output? {HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above
We should allocate the workers as follows: {HLH,LHL} {HLL,LHH} {HHH,LLL} to get the maximum output.
The O-ring model states that production output depends on the quality of each worker. The quality of the final product is determined by the lowest quality worker working on the project.
In the given case, we have two types of workers: H-type and L-type.
The H-type workers have a quality of q=0.6, and the L-type workers have a quality of q=0.4.
We are to determine how to allocate the workers to get the maximum output.
The answer is all of the above.{HLH,LHL} {HLL,LHH} {HHH,LLL} is the allocation we need to get maximum output.
Here's how we arrive at the solution:
For the O-ring model, we need to group the workers in a way that minimizes the number of low-quality workers in a group.
We can have two possible groupings as follows:
{HLH,LHL} - This group has a minimum q of 0.4, which is the quality of the L-type worker in the middle of the group.
{HLL,LHH} - This group also has a minimum q of 0.4, which is the quality of the L-type worker on the left of the group.
The other grouping, {HHH,LLL}, has all low-quality workers in one group and all high-quality workers in another group. This is not ideal for the O-ring model as the low-quality workers will negatively affect the output of the high-quality workers.
Thus, to get the maximum output, we should allocate the workers as follows:
{HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above
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Consider m=[5 6; 7 8; 9 10]; What is the result of the following expression ? sum(sum( m([true false true], [false true]) ))
The result of the expression sum(sum(m([true false true], [false true]))) for the given matrix m is 16.
To find the result of the expression sum(sum(m([true false true], [false true]))), consider the matrix m=[5 6; 7 8; 9 10]. Follow these steps:
Apply the logical indexing m([true false true], [false true]): This selects the rows 1 and 3 and the second column.
The result is a new matrix:
[6; 10]
Calculate the sum of this new matrix using sum(): This will sum the elements in each column, resulting in:
[16]
Finally, apply sum() to this result: This sums the elements in the resulting array, giving the final answer:
16
So, the result of the expression sum(sum(m([true false true], [false true]))) for the given matrix m is 16.
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Solve: -12k = 36
I don’t get this
Answer:
= −3
Step-by-step explanation:
Answer: this is really simple all you have to do is divide 36 by -12 which gives you -3 the final answer is k= -3
Step-by-step explanation:
why divide? if you see on ur left side you see -12k the (k) is being multiplied with the -12 so to solve the equation you need to do the inverse or the OPPOSITE the opposite of multiplying is dividing 36 divided by -12 gives us -3 (12*3=36 just put the negative sign in the front)
5. Write an equation of a line in standard form for the given conditions. passes through (0,0) and is perpendicular to the line 2- y=6
Answer:
69
Step-by-step explanation:
Which number line and expression show how to find the distance from -4 to
1?
O A.
B.
C.
O D.
5
4
3
-2
|-4-1|
4
4-(-1)
4-1
-1 0
|-4-(-1)
1
2 3 4
23
The distance from -4 to 1 is 5 units.
The correct number line and expression to find the distance from -4 to 1 are:
Number line: -4 -3 -2 -1 0 1
Expression: |-4 - 1|
To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:
|-4 - 1| = |-5| = 5
Therefore, the distance from -4 to 1 is 5 units.
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Christopher wants to paint a rectangular face on the side of a house that has a length of 30 feet and a width of 24 feet. He will use one coat of paint for the side of the house. Each gallon of paint will cover 350 square feet. Each can holds one gallon and costs $30. What is the minimum cost that Christopher will spend on paint?
Answer:
$61.80
Step-by-step explanation:
The face of the house has a length of 30 feet and a width of 24 feet.
We have to find find the area of that face of the house:
A = L * B
A = 30 * 24 = 720 square feet
He will use one coat of paint for the side of the house.
We need to find the number of gallons he will need.
Each gallon of paint will cover 350 square feet.
The number of gallons he will need is:
720 / 350 = 2.06 gallons
Each can holds one gallon and costs $30.
The minimum amount he will need to spend is therefore:
2.06 * 30 = $61.80
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
Answer:
Step-by-step explanation:
-6 3/5 - (-7 4/15) + 2 1/5
Combine the first and third terms first
-6 3/5 + 2 1/5 = - 4 2/5
Now deal with the second term
- (- 7 4/15) = 7 4/15
7 4/15 - 4 2/5
7 4/15 - 4 6/15 Add 15/15 to 7 4/15 Subtract 1 from the 7
6 19/15 - 4 6/15
2 13/15
Please help I really do not understand this yeah I can be weird sometimes but please help will mark the correct answers brainiest
Answer:
Step-by-step explanation:
1.0.39
2.0.33
3.Loose
4.0.14
I did the first four... hope that helps
two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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the dimensions of the rectangular pool shown below are 40 yards by 20 yards. A fence will be built around the outside of the deck. The ratio of the dimensions of the fence to the dimensions of the pool is 3/2. How many yards of fence should be purchased?
90 yards of fence should be purchased
How many yards of fence should be purchased?We have:
Dimensions of the pool: 40 yards by 20 yards
Ratio of the dimensions of the fence to the dimensions of the pool: 3/2
Thus, we can say:
The length of the fence is:
3/2 * 40 yards = 60 yards
The width of the fence is:
3/2 * 20 yards = 30 yards
The total length of the fence is:
60 yards + 30 yards = 90 yards
Therefore, 90 yards of fence should be purchased
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