Answer:
30
Step-by-step explanation:
n*1/6 = 5
5*6 = 30
Check:
30/1*1/6 = 5
how to find the missing value when given the median
The median is the middle value in a set of data when the values are arranged in ascending or descending order.
Here's how you can obtain the missing value:
1. Determine the known values: Identify the values you have in the dataset, excluding the missing value. Let's call the known values n.
2. Calculate the number of known values: Count the number of known values in the dataset and denote it as k.
3. Determine the position of the median: If the dataset has an odd number of values, the median will be the middle value. If the dataset has an even number of values, the median will be the average of the two middle values.
4. Identify the missing value's position: Determine the position of the missing value relative to the known values.
If the missing value is before the median, it will be located at position (k + 1) / 2. If the missing value is after the median, it will be located at position (k + 1) / 2 + 1.
5. Obtain the missing value: Now that you have the position of the missing value, you can determine its value by looking at the known values.
If the position is a whole number, the missing value will be the same as the value at that position.
If the position is a decimal fraction, the missing value will be the average of the values at the two nearest positions.
By following these steps, you can obtain the missing value when the median and the other values in the dataset are provided.
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Which expression represents the number -2i(5- i) + (17- 8i) rewritten in a + bi
form?
O 15-18i
O 15-2i
O 19 - 18i
O 11 + 8i
Answer:
(a) 15 -18i
Step-by-step explanation:
You want the simplified form of the expression -2i(5- i) + (17- 8i).
Complex numbersFor many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.
-2i(5- i) + (17- 8i) = -10i +2i² +17 -8i
= -2 +17 +(-10 -8)i
= 15 -18i
__
Additional comment
Your scientific or graphing calculator can probably help you evaluate such expressions.
A stack of Magic cards consists of 4 land cards and 6 creature cards. You draw 4 cards from the shuffled stack of 10 cards. Find the probability that you pull 4 creature cards. (give answer as a fraction or a decimal to 3 decimal places)
Find the probability that you pull 3 land cards and 1 creature card.
(give answer as a fraction or a decimal to 3 decimal places)
Answer:
1/14 ; 1/35
Step-by-step explanation:
A
6/10 x 5/9 x 4/8 x 3/7
3/5 x 5/9 x 1/2 x 3/7
1 x 1/3 x 3/14
1/14
B
4/10 x 3/9 x 2/8 x 6/7
2/5 x 1/3 x 1/4 x 6/7
2/15 x 3/14
1/5 x 1/7
1/35
The probability that 4 creature cards is pulled is 1/14 and the probability that 3 land cards and 1 creature card is pulled is 4/35
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here there are 4 land cards and 6 creature cards
thus selecting four cards at random from 10 cards is ¹⁰C₄=210
and the event of selecting 4 creature cards from a total of 6 cards is ⁶C₄ =15
Therefore probability of pulling 4 creature cards is = 15/210
= 1/14
The probability of pulling 3 land cards and 1 creature cards is
= ⁴C₃ × ⁶C₁ / ¹⁰C₄
= 4/35
Hence 1/14 and 4/35 are the respective probabilities.
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Ruth has already written 21 pages, and she expects to write 2 pages for every additional hour spent writing. How many hours will Ruth have to spend writing this week in order to have written a total of 29 pages? Write and solve an equation to find the answer.
Answer: 4 hours
Step-by-step explanation:
21+2x=29
29-21=8/2=4 2x/2
Please tell me the steps to get to the answer.
Answer:
10 cm x 15 cm i think
Step-by-step explanation:
Answer:
Area = 1/2 bh
Step-by-step explanation:
10 x 15 = 150/2 which is 75
please help me i’ll give u a brainliest
Answer:
8.94 inches
Step-by-step explanation:
Solve for hypotenuse.
HELP QUICK, WILL MARK THE BRAINIEST IF I CAN!
What is the value of z in the following system of equations?
x + 2y + 3z = 0
2x + y + 3z = 0
3x + 2z =1
Answer:
x=3 ;y=4.5 ;z=-4
Step-by-step explanation:
x+2y+3z=0
2(x+2y+3z=0)
2x+4y+6z=0 [1]
2x+y+3z=0 [2]
[1] - [2]:(elimination)
(2x+4y+6z)-(2x+y+3z)=0-0
2x+4y+6z-2x-y-3z=0
3y+3z=0 [3] ×2
6y+6z=0
3x+2z=1 [4] ×3
9x+6z=3
([4]×3)-([3]×2): (elimination)
(9x+6z)-(6y+6z)=3-0
9x+6z-6y-6z=3
3x=3
x=3
Substitute x=3 into 3x+2z=1
3(3)+2z=1
9+2z=1
9-1=-2z
8=-2z
z=-4
Substitute z=-4 & x=3 into x+2y+3z=0
3+2y+3(-4)=0
3+2y-12=0
2y-9=0
2y=9
y=4.5
Find the height of the cylinder given the surface area and one
other dimension:r = 5 in SA
659,4 in?
Answer:
C 16 inches
Step-by-step explanation:
a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.
so, the surface area is the sum of the areas of both circles and the "mantle".
this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.
circle area : pi × r²
circle circumference : 2 × pi × r
rectangle area :
length × width = circle circumference × h
SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =
= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h
=> 659.4 - 50×pi = 10×pi×h
=> (659.4 - 50×pi) / (10×pi) = h = 16 inches
Triangle EFG is reflected across the y-axis on a coordinate plane and then dilated by a scale factor of 3 centered at (0,0) to produce triangle KLM What
is true about triangle EFG and triangle KLM?
Select all the true statements
Answer:
3, 5
Step-by-step explanation:
City received 3/4 inch of rain on July 31  This represents 3/10 of the total amount of rain this to received in July the equation 3/10r =3/4 can be used to find the amount of rain r in inches  The city received in July how much rain did the city receive in July ?
The amount of rain the city received in July is r = 2.5 inches
Given data ,
City received 3/4 inch of rain on July 31
Now , it represents 3/10 of the total amount of rain this to received in July
So , the equation is represented as A
Now , the value of A is
( 3/10 )r = 3/4
Multiply by 10 on both sides , we get
3r = 30/4
Divide by 3 on both sides , we get
r = 30/12
r = 2.5 inches
Hence , the city received 2.5 inches of rain
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Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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Group-D (2x5=10) 17. A rectangular garden is 64m long and 46m broad. A path of 2m wide surrounded inside it. i) Find the area of path ii) Calculate the cost of paving the bricks of size 24cm by 16cm on the path at Rs.18 per brick.
Answer:
a !2 16 what you will gone out
I NEED UR HELP ASAP!! PLEASE
Answer:
4 inches
Step-by-step explanation:
To solve this, use the Pythagorean Theorem: a² + b² = c². You insert the measurements you have: 3² + b² = 5² or 9 + b² = 25. To solve this, subtract 9 from both sides: b² = 16. To solve for b (length) specifically, find the square root of 16: 4.
Hope it helps!
What is the surface area of the pyramid shown to the nearest whole number? The base of the pyramid is 6ft and 9ft high. The diagram is not drawn to scale.
a. 144 ft^2
b. 252 ft^2
c. 108 ft^2
d. 63 ft^2
The surface area of the pyramid shown to the nearest whole number the surface area of the pyramid is approximately 168 ft^2.
To calculate the surface area of a pyramid, we need to find the sum of the areas of its base and its lateral faces.
The base of the pyramid is a rectangle with dimensions 6 ft by 9 ft. Therefore, the area of the base is 6 ft * 9 ft = 54 ft^2.
The lateral faces of the pyramid are triangles. Since the pyramid is not drawn to scale and the diagram is not provided, it is not clear how the height of the pyramid is related to the dimensions of its lateral faces.
However, assuming the height of the pyramid is given by the vertical height from the apex to the base, we can use the Pythagorean theorem to calculate the slant height of the lateral faces.
The slant height (l) can be found using the height (h) and half the base length (b/2) as follows:
l = sqrt(h^2 + (b/2)^2)
Substituting the given values:
l = sqrt(9^2 + (6/2)^2) = sqrt(81 + 9) = sqrt(90) ≈ 9.49 ft
The area of each lateral face can be calculated using the formula for the area of a triangle: (base * height) / 2.
The area of each lateral face = (6 ft * 9.49 ft) / 2 ≈ 28.47 ft^2
Since there are four lateral faces, the total area of the lateral faces is 4 * 28.47 ft^2 = 113.88 ft^2.
The total surface area of the pyramid is the sum of the base area and the lateral face area:
Total surface area = Base area + Lateral face area
Total surface area = 54 ft^2 + 113.88 ft^2
Total surface area ≈ 167.88 ft^2
Rounded to the nearest whole number, the surface area of the pyramid is approximately 168 ft^2.
None of the provided answer choices (a. 144 ft^2, b. 252 ft^2, c. 108 ft^2, d. 63 ft^2) matches the calculated surface area of the pyramid.
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−|9| = −9 True or False
Answer:
True
Step-by-step explanation:
|9| means the absolute value, how far it is away from zero, so that's 9. Then it's just -9=-9. If it were |-9| then the absolute value would be 9 making the equation false.
The expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.
Hence, The answer is False.
The absolute value of a number is its distance from zero. It is always non-negative. Therefore, the absolute value of 9 is 9, not -9.
The negation of a number is its opposite. The opposite of 9 is -9.
Therefore, the expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.
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Which panda was heavier when born
Answer: The one on the left.
Step-by-step explanation:
There is no file, but the panda on the left is bigger.
25 over 289 squared.............
Answer: The answer would be 0.00029932591
Step-by-step explanation:
how do I solve, write a word problem that can be solved by finding a faction of 24. I kinda need the answer now....
There are different ways to write a word problem that can be solved by finding a fraction of 24. one of the examples is written below.
What is ratio?The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.
There are different ways to write a word problem that can be solved by finding a fraction of 24, but here's one example:
Question: Lena is planning a road trip that will cover a total distance of 120 miles. She wants to fill up her gas tank with enough fuel to cover one-fifth of the distance before stopping at the first gas station. How many miles should she expect to travel before she needs to stop for gas?
Answer: To solve this problem, we need to find one-fifth of 120 miles. One-fifth can be written as a fraction of 1/5, which means we need to divide 120 by 5:
1/5 x 120 miles = (1/5) * 120 miles = 24 miles
Therefore, Lena should expect to travel 24 miles before she needs to stop for gas.
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Pleas help me this is due today you will get points and I will mark you as brainlist I promise please help me. I have a learning disability and I need help with this
Frist one: B
Second one: C
Third one: C
fourth one: A
What where the steps to lead us to the answer?1st problem:
To convert 0.6 into fraction, we have to write it in p/q form, where p and q are positive integers:
→ 0.6 = 6/10
By the use of cancellation:
→ 6/10 = 3/5
Therefore, the correct answer is option B
2nd problem:
→ 4/5
→ = (4 × 2) / (5 × 2)
→ = 8/10 = 0.8
Therefore, the correct answer is option C
3rd problem:
→ 40% = 40/100
Find the GCF or the greatest common factor of 40 and 100:
20 is the GCF
→ (40 ÷ 20) / (100 ÷ 20)
→ = 2 / 5
Therefore, the correct answer is option C
Last problem:
→ 11 50 × 100
You will get the percent value. 22
Therefore, the correct answer is option A
Thus, the correct options are:
Frist one: B
Second one: C
Third one: C
fourth one: A
Answer:
B C C A
Step-by-step explanation:
The number of miles driven, x, and the number of gallons remaining in the gas tank, y, have a strong negative relationship. Explain what it means to have a strong negative relationship in this context.
A strong negative relationship in this context means as number of miles driven increases, gallons of gas remaining in the gas tank decreases.
Negative Inverse relationshipNegative or inverse relationship is a relationship which exist between two quantities where one quantity decreases as the other increases or one quantity increases as the other decreases.
Number of miles driven = xNumber of gallons remaining in the gas tank = yx = k/y
where,
k = constant of proportionalityFor instance, if the gallons of gas remaining in the tank is 24 gallons and number of miles driven is 8 miles
x = k/y
8 = k/24
8 × 24 = k
192 = k
So, if number of miles driven increases to 9 miles, gallons of gas remaining decreases.
x = k / y
9 = 192 / y
9y = 192
y = 192 /9
y = 21.33 gallons
Therefore, strong negative relationship in this context means as number of miles driven increases, gallons of gas remaining in the gas tank decreases.
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20. Mercury 203 has a decay rate of 1.481% per day. Given the exponential model representing the amount of Mercury 203 remaining after days, find how long it will take 300 grams of the Mercury 203 to
According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.
The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.
To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.
The general formula for exponential decay is given by:
A(t) = A₀ * e^(-rt),
where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.
In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).
We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:
0 = 300 * e^(-0.01481t).
To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:
ln(0) = ln(e^(-0.01481t)),
0 = -0.01481t.
To isolate t, we divide both sides by -0.01481:
0 / -0.01481 = t,
t = 0.
Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.
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tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book
The number of pages that are in the book is 1 31/45 pages.
How to illustrate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Tyler reads 2/15 pages on Monday 1/3 on Tuesday and 2/9 on Wednesday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book.
The fraction for pages will be:
= 2/15 + 2/9 + 1/3 + 3/4 + 1/4
= 2/15 + 5/9 + 1
= 6 / 45 + 25/45 + 1.
= 1 31/45
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Complete question
tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 1/4 pages left on friday how many pages are in the book
Please help me guys this is an emergency I will give you brainliest and points hurry up Thank you! (No.11only)
Answer:
6.75 cm
225.66 cm²
Step-by-step explanation:
V= 1/3lwh= 180
V= 1/3*10*8*h= 80h/3 cm³
h= 3V/80= 3*180/80= 6.75 cmSurface area of the pyramid:
A=lw+l√(w/2)²+h²+w√(l/2)²+h²
A= 10*8+10√(8/2)²+6.75² + 8√(10/2)²+6.75²= 225.66 cm²Answer:
Step-by-step explanation:
Volume of pyramid = 1
3 × base area × height
180 = 1
3 × 10 × 8 × height
180 = 80
3 × height
Height = 6.75 cm
part two
Let the slant height from V to PQ be l1 cm,
the slant height from V to QR be l2 cm.
Using Pythagoras’ Theorem,
l1 = square root(6.75^2 + 4^2) = 7.846 (to 4 s.f.)
l2 =square root(6.75^2 + 5^2)= 8.400 (to 4 s.f.)
Total surface area of pyramid
Area of all triangular faces + area of square base
2 (1/2*10*7.846+1/2*8*8.400)+10*8
2(39.23 + 33.6) + 80
145.66 + 80
226 cm2 (to 3 s.f.)
HELPPP PLSSS!!!!
An applicant receives a job offer from two different companies. Offer A is a starting salary of $54,000 and a 6% increase for 5 years. Offer B is a starting salary of $54,000 and an increase of $3,000 per year. Part A: Determine whether offer A can be represented by an arithmetic or geometric series and write the equation for An that represents the total salary received after n years. Justify your reasoning mathematically. (3 points) Part B: Determine whether offer B can be represented by an arithmetic or geometric series and write the equation for Bn that represents the total salary received after n years. Justify your reasoning mathematically. (3 points) Part C: Which offer will provide a greater total income after 5 years? Show all necessary math work. (4 points)
Answer:
Part A:
Offer A can be represented by an arithmetic series because the salary increases by a constant amount each year. The equation for An that represents the total salary received after n years would be:
An = 54000 + (6/100) * 54000 * n
This equation takes into account the starting salary of $54,000 and the constant 6% increase each year.
Part B:
Offer B can also be represented by an arithmetic series because the salary increases by a constant amount each year. The equation for Bn that represents the total salary received after n years would be:
Bn = 54000 + 3000 * n
This equation takes into account the starting salary of $54,000 and the constant $3,000 increase each year.
Part C:
To compare the two offers, we can plug in n = 5 for both equations and see which one results in a greater total income.
For offer A, the total income after 5 years would be:
An = 54000 + (6/100) * 54000 * 5 = $72,600
For offer B, the total income after 5 years would be:
Bn = 54000 + 3000 * 5 = $69,000
Therefore, offer A will provide a greater total income after 5 years.
Answer: Dude above is incorrect the first offer is geometric not the other
Step-by-step explanation: geometric sequence. equation 54000(1.06)^(n) no n-1 is because 54000 no the first term but term zero.
arithmetic sequence. equation look like 54000+(3000)(n)
five years 54000(1.06)^(5)=72,264.18$ for second get 54000+(3000)(5)=69,000.
no n-1 is because 54000 no the first term but term zero.
bla bla bla
Hope this helps
Select the correct answer. Which inequality is equivalent to the given inequality? -4(4+7) <3 ) x-2)
Answer:
x>-42
Step-by-step explanation:
I dont have time to explain de but thats the answer
I need help please!!!!!!!
Answer:
75°
Step-by-step explanation:
We can assume that the angle shown and an angle that measures 15° makes a complementary angle. A complementary angles is when two angles add up to be 90°. We can create an equation and simplify:
15 + x = 90
x = 75
Best of Luck!
There are 2 kids of the age 14 what is the percentage of the students that are 14?
Answer:
7% my answer i think if im mistake please dont report me
What is the degree of
the polynomial
below?
3- 14x4 – 2x8 + 20x +
4x2
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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There are 810 Calories in 3 scoops of vanilla ice cream. How many Calories are there in 7 scoops of ice cream?
Answer:
Hi there!
Your answer is:
1,890 calories are in 7 scoops!
Step-by-step explanation:
810cals per 3 scoops
/3 to determine calories per 1 scoop
270 cals per 1 scoop
×7 to determine calories per 7 scoops
1890calories
I hope this makes sense!
Answer:
1890
Step-by-step explanation:
810/3 to get the number per scoop. Multiply it by 7 to get the total number of calories