The answer is 5:2 ration, it's already fully simplified
The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
Answer:
155-50=105
Step-by-step explanation:
hopefully its right because you have to take the maximum and subtracted from the minimum
What are the next two terms of the following sequence? -2, 4, -8, 16, ...
Answer:
-32 , 64
Step-by-step explanation:
Geometric sequenceThis is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'
[tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]
[tex]\sf r =\dfrac{4}{(-2)}[/tex]
r = -2
The next two terms ,
Fifth term = 16 *(-2) = -32
Sixth term = (-32) * (-2) = 64
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the next two terms of the following sequence?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The next two terms are -32 and 64.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
First of all, let's identify what kind of sequence this is.
The two main types of sequences are:
[tex]\textsf{Arithmetic.}[/tex] This is where we add/subtract the same number to get to the following term.[tex]\textsf{Geometric.}[/tex] This is where we multiply/divide by the same number to get to the next term.In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].
In order to get to the next term, we multiply by -2.
So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:
16•(-2)=-32
We've found the 5th term of the geometic sequence.
Now let's find the 6th:
-32•(-2)=64 (the product of a negative and a negative results in a positive)
Summary of Final Answer:-The next two terms in the sequence are -32 and 64.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Need some help here IMMEDIATELY!! :(
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Answer: C option
Step-by-step explanation:
Since the drawing is 5x more than real object then we have to divide the numbers
a= 35/5 = 7
b= 30/5 = 6
c= 15/3 = 3
The number of nails of a given length is normally distributed with a mean a length of 5 in. and a
standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are between 4.97
in. long and 5.03 in. long?
ut 57 nails
out 60 nails
out 82 nail
Answer:
82 nails
Step-by-step explanation:
4.97 and 5.03 are both one standard deviation from the mean...
z scores . 8413 and .1587
.8413 - .1587 = .6826 or 68.26 % of the nails are in this range
68.26 % * 120 = ~82 nails
Yuki collects data on the average number of sunlight hours per month. She determines the regression model
y = -2.8sin(0.65x + 120.2) + 12.2 to represent the data, where x = 1 represents January.
Based on the regression model, what is the best estimate for the average number of sunlight hours she can expect
each day in June?
O9.4
9.9
O 11
O 15
The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
To answer the question, we need to know what a regression model is
What is a regression model?A regression model is an equation or model that shows if there is a relationship between two variables.
Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.
Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.
Average number of sunlight hours in JuneSo, y = -2.8sin(0.65x + 120.2) + 12.2
y = -2.8sin(0.65(6) + 120.2) + 12.2
y = -2.8sin(3.9 + 120.2) + 12.2
y = -2.8sin(124.1) + 12.2
y = -2.8(0.8281) + 12.2
y = -2.32 + 12.2
y = 9.88
y ≅ 9.9
So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
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X+4/x^2+3x-10 - x-1/x^2+2x-8 Simplify
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,
[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]
Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
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A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface area of this tank?
A. 110
B. 125
C. 144
D. 188
Answer:
b
Step-by-step explanation:
Three friends go shopping together and buy the same kind of rice.
Placido buys 2 pounds and pays $4.50. Sophia buys 3 lb and pays $6.75.
Roger buys 4 lb and pays $9.00.
Identify the graph and unit price that represent the cost of the rice.
Answer:
1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.
Step-by-step explanation:
You didn't add the picture so this is how I explained it.
15. What is 3% of 4.14 x 10?
A. 1.242
B. 1.380
C.
12,420
D. 13.800
E. 124.200
Answer:
the answer is a and I hope this helps you.
Hey there!
3% of 4.14 * 10
≈ 3% * 4.14 * 10
≈ 3/100 * 4.14 * 10
≈ 0.03 * 4.14 * 10
≈ 0.1242 * 10
≈ 1.242
Therefore, the answer should be:
Option A. 1.242
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
ANSWER ASAP, find the area. Use 3.14 if needed. Round to nearest hundredth
Jim earned $127.59 last month. He spent about
20% of the money. Which is the closest estimate
of the amount of money Jim spent?
A. $13
B. $20
C. $26
D. $30
Answer:
C. $26 is the closest estimate
Step-by-step explanation:
127.59 rounded is 128
128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer
so that is the closest estimate
this should be correct! :)
Find the value of x
Answer:
x = 45
Step-by-step explanation:
Solve the entire figure first
First right triangle:
A = 36
B = 48
C = _
Using Pythagoras theorem to find the hypotenuse
a² + b² = c²
Plug in:
36² + 48² = 84²
1,296 + 2,304 = 3,600
Find the square root of √3600
⇒ √3600 = √( 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)
⇒ = 2 × 2 × 3 × 5
⇒ 60
The hypotenuse of the bottom right triangle is 60.
Now that we have the given value of the missing line separating both right triangles.
A = 60
C (hypotenuse) = 75
To find the missing side,
use this formula:
c² - a² = b² ---> hypotenuse minus the given side value
Plug in:
75² - 60² = 2,025
Find the square root:
⇒ √2025 = √ ( 3 × 3 ) × ( 3 × 3 ) × ( 5 × 5 )
⇒ 3 × 3 × 5
⇒ 45
Therefore, the missing x value on the second right triangle is 45.
the ratio 20:40:100 in its simplest form.
Answer:
1 : 2 : 5
Step-by-step explanation:
20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )
= 1 : 2 : 5
What is the slope of the line that
passes through these two points?
(-3, 1)
(3, 3)
slope
=
Remember. given two points.
(x1.yı)
(x2 - y2)
Slope
rise (y2-y1)
run(x2-x1)
Simplify your answer completely.
Answer:
1/3
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
= (3 -1)/ (3 - (-3))
= 2/ 6
= 1/3
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}}[/tex]
What is the slope of the line that
passes through these two points? (-3, 1) ,(3, 3)?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Use the slope formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bigstar[/tex] Replace the letters with numbers:-
[tex]\sf{\dfrac{3-1}{3-(-3)}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\sf{\dfrac{2}{3+3}}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\sf{\dfrac{2}{6}}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\boxed{\mathrm{Slope=\frac{1}{3}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Find the area of each parallelogram below. 4 cm 5 cm 6 cm
Answer:
24 cm²
when finding area, multiply base by height
[tex]4 * 6 = 24[/tex]
Answer:
A = 24 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is
A = bh where b is the base and h is the height
A = 6 * 4
A = 24 cm^2
Which of the following is a business organization owned by a group of people for their mutual benefit?
-a professional organization
-a labor union
-a cooperative
-a limited liability partnership
Two forces of 494 newtons and 590 newtons act on a point. The resultant force is 1079 newtons. Find the angle between the two forces.
Answer:
Use Law of Cosines
Step-by-step explanation:
1079²= 590² + 494²- (2)(590)(494) cos θ.
Divide. Give the quotient and remainder.
437/7
(6h+2)+(-7h-8) simplify?
Answer:
-h - 6
Step-by-step explanation:
(6h + 2) + (-7h - 8) <== remove parenthesis
6h + 2 - 7h - 8 <== combine like terms
6h - 7h + 2 - 8
-h - 6
Hope this helps!
the total surface of a pyramid with dimension of 5×10 h=6
Answer:
[tex]154.05[/tex]
Goodluck
Total piston displacement is given by the following formula: TT P.D.ED?LN 4 Where P.D. = piston displacement, in cubic inches D = diameter of bore of cylinder L = length of stroke, in inches N = number of cycles Find the diameter if P.D. = 400 cu in., L = 4.5 in., N = 6 in. to 2 Find the diameter: decimal places Do NOT put in units
Answer:
4.34 inches
Step-by-step explanation:
You want the diameter of a cylinder if the stroke length is 4.5 in, and 6 of them have a volume of 400 in³.
FormulaFilling the given values into the formula, we have ...
400 = π/4(d²)(4.5)(6)
d² = 400(4)/(4.5·6π) . . . . . . . . . divide by the coefficient of d²
d = 40/(3√(3π)) ≈ 4.34 . . . . . . . take the square root
The diameter is about 4.34 inches.
<95141404393>
The amount of a sample remaining after t days is given by the equation p(1) - al2where a is the initial amount of
the sample and h is the half-life, in days, of the substance. a sample contains 60% of its original amount of fermium-
257. the half-life of fermium-257 is about 100 days. about how old is the sample?
52 days
60 days
74 days
136 days
The amount of a sample remaining after t days is given by the equation p(1) - al2 is: 74 days.
Sample remaining after t daysUsing this formula
P(t)=A×(1/2)^t/h
Let plug in the formula
0.6x=x ×(1/2)^t/h
0.6=(1/2)^t/100
Hence:
Log0.6=Log(1/2)^t/100
Log 0.6=t/100× log0.5
Log 0.6/Log0.5×100=t
-0.2218487/-0.30102999×100=t
0.736×100=t
t=73.6
t=74 days (Approximately)
The amount of a sample remaining after t days is: 74 days.
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Answer:
74 DAYS
Step-by-step explanation:
I DID IT ON EDGE
Find the mean, variance, and standard deviation for the data set.
6, 16,7 ,3 ,10 ,8 ,12 ,5 ,18 ,5
The graph show the probability distribution of a random variable.
What is the value of P(0 ≤X ≤4)?
0.40
O 0.45
O 0.50
O 0.55
Answer:
O 0.50
Step-by-step explanation:
when x = 0, the probability is 0
when x = 1, the probability is 0.1
when x = 2, the probability is 0.2
when x = 3, the probability is 0.125
when x = 4, the probability is 0.05
Heidi likes to mix her own horse feed. She creates a mix that is 10%
molasses-covered oats using 18% molasses-covered oats. How many pounds
of each does she need to create 50 pounds of the mixture
The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle?
Graph the equation y=-1/8x^2+x-4
does someone mind helping me with this problem? Thank you!
Answer:
a = 12
Step-by-step explanation:
Pythagoras’ Theorem
a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
leg a = aleg b = 9hypotenuse c = 15Substituting these values into the formula and solving for b:
⇒ a² + 9² = 15²
⇒ a² + 81 = 225
Subtract 81 from both sides:
⇒ a² + 81 - 81 = 225 - 81
⇒ a² = 144
Square root both sides:
⇒ √(a²) = √(144)
⇒ a = 12
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of a using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a {}^{2} = {15}^{2} - {9}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= \sqrt{225-81} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= \sqrt{144} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= 12\: units[/tex]
The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Lizards: 61, 47, 70, 63, 54 Determine the MAD of each data set. In your work, show the mean and the absolute deviation of each data value in each set. Compare and interpret the MADs in context of the situation.
PLS PLS HELP ME
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
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If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, r?
r < 37 or r ≥ 42
r < 37 or r > 42
37 < r ≥ 42
37 > r ≥ 42
Answer:
i believe the third one so this 37 < r ≥ 42 Step-by-step explanation:
Answer:
(a) r < 37 or r ≥ 42
Step-by-step explanation:
Translating the given relations to math symbols, we have ...
"less than 37 minutes" ⇒ r < 37
"no less than 42 minutes" ⇒ r ≥ 42
__
Written as a single statement, this is ...
r < 37 or r ≥ 42
_____
Additional comment
The solution regions are disjoint, so an "or" statement must be used. The form ...
37 > r ≥ 42
cannot be used, because it is false that 37 > 42.
