Answer:
(3+9)/(5-2)x5 = 20
Step-by-step explanation:
It's a rather tedious type of task, because there's no simple way to solve them, except kind of by brute force or by trial and error. Here we can start by noticing x5 at the end, so if we can force everything before to be 4 it's gonna be dandy:
can we add brackets to 3+9/5-2 to be equal to 4 (because 20 / 5)?
fortunately, 3+9 is 4 times more than 5-2, so (3+9)/(5-2) = 4
so (3+9)/(5-2)x5=20 is a correct solution
0.3. human iq scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. the minimum iq score for the top 10% of the population.
The minimum IQ score for the top 10% of the population is 0.0179.
Standard deviation:
Standard deviation means the root of the variance in the given grouped or ungrouped data.
The standardized value is the value decreased by the mean, divided by the standard deviation:
z = (x- μ) / σ
where
x: the observation (a specific value that you are calculating the z-score for).
Mu(μ): the mean.
Sigma(σ): the standard deviation.
Given,
The human IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15.
Here we need to find the minimum IQ score for the top 10% of the population.
We know that,
x = 131.5
μ = 200
σ = 15
So, when we apply the values on the formula,
Then we get,
=> z = 131.5 - 100 /15
=> z = 2 .10
Determine the corresponding probability using table A-2:
=> P(Z>2.10) = 1 − P(Z<2.10)
=> 1 − 0.9821
=> 0.0179
Therefore, the minimum IQ score for the top 10% of the population is 0.0179.
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Ted works as a nurse anesthetist. He is
paid a semimontly salary of $3,950. What
is his annual salary?
Answer:
94800
Step-by-step explanation:
Answer:
94,800
Step-by-step explanation:
Well semimonthly means 2 times a month
If you multiply 3,850 by 2 you get 7,900
Then simply multiply 7,900 by 12 (12 months in a year) and you get 94,800
a propositional formula of signature ???? is defined recursively as follows: - every atom is a formula - both 0-place connectives are formulas - if f is a formula then ¬f is a formula - for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula how many of the following strings are propositional formulas under the signature ????
The following strings are propositional formulas under the signature:
(i)both 0-place connectives are formulas
(ii)for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula.
What is propositional formula?A propositional formula is a particular kind of syntactic formula that is well-formed and has a truth value in propositional logic. A propositional formula yields a distinct truth value when all of the variables' values are known. A propositional formula may alternatively be referred to as a phrase, a propositional expression, or a sentential formula.
Simple statements like "five is greater than three" or propositional variables like p and q are combined to build a propositional formula using connectives or logical operators like NOT, AND, OR, or IMPLIES.
The term "proposition" is frequently used in mathematics to refer to a propositional formula, but in reality, a propositional formula is a formal expression that signifies a proposition.
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Write the fractions and decimals
3/4
Answer:
.75
Step-by-step explanation:
30 plus 82s minus 7 plus 8y minus 49s
Answer:
33s + 8y + 23
Step-by-step explanation:
➟ 30 + 82s - 7 + 8y - 49s
Rearrange
➟ 30 - 7 + 82s - 49s + 8y
Calculate
➟ 23 + 33s + 8y
Answer:
33s + 8y + 23
Step-by-step explanation:
The equation will be,
→ 30 + 82s - 7 + 8y - 49s
Now the simplest form will be,
→ 30 + 82s - 7 + 8y - 49s
→ (82s - 49s) + 8y + (30 - 7)
→ 33s + 8y + 23
Thus, the answer is 33s + 8y + 23.
The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
O A. g(x) = |x|
B. g(x) = 16x1
C. g(x) = x + 6|
O D. g(x) = 61x1
Transformations are used to move a function from one position to another. The function of g(x) is g(x) = | x/6|.
Given that:
f(x) = |x|
The rule of a horizontal stretch by factor k is:
(x, y) → (x/k,y)
This means that:
g(x) = f(x/k)
In this case, k = 6
So, we have:
g(x) = f(x/6)
Calculate f(x/6)
f(x/5) = |x/6|
Hence, the function of g(x) is
g(x) = |x/6|.
A function is defined as a relation between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input.
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paulina and montrose are developing a personality survey and they want to obtain an estimate of its reliability. paulina administers the survey to a group of employees one day and then she administers the exact same survey to the same employees the following week. montrose took a different approach and developed two different, yet equivalent forms of the survey and administered both forms to a sample of employees. paulina is most likely assessing reliability, while montrose is most likely assessing reliability
Paulina is most likely assessing "Test-retest reliability", while Montrose is most likely assessing "Parallel forms reliability."
What is termed as reliability?The consistency with which a method attempts to measure something is indicated by its reliability. The same method applied to the same sample in the same conditions should yield the same results. If not, the measurement method may be unreliable.
Some key points related to the reliability are-
Test-retest reliability assesses the consistency of the findings when the same test is performed on the same sample at different points in time. When measuring something which you expect to remain constant in your sample, you use it.The correlation among two equivalent versions of the a test is measured by parallel forms reliability. When you have two distinct evaluation tools or sets of questionnaire prepared to measure the same thing, you use it. It is often necessary to develop different versions of tests in educational assessment.To know more about the Test-retest reliability, here
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Find parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3).
The parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3) are x=2+5t, y=4+5t and z=2+3t.
What is parametric equation?
The same values may be expressed by a variety of alternative parameterizations because parametric representations are typically non-unique (see the "Examples in two dimensions" section below).
In addition to curves and surfaces, higher dimensional algebraic varieties can also be described by parametric equations; in this case, the number of parameters is equal to the dimension of the manifold or variety, and the number of equations is equal to the dimension of the space in which the manifold or variety is taken into account (for curves the dimension is one and one parameter is used, for surfaces dimension two and two parameters, etc.).
In kinematics, where the motion of an object is represented by equations using time as the parameter, parametric equations are frequently utilized.
Calculations:
Parametric equation of line PQ is
x=2+5t,y=4+5t and z=2+3t
parametric equation of line AB is
x=x1+tx2, y=y1+ty2 and z=z1+tz2
Here as we have P(2,4,2) and Q(5,5,3)as two points,
parametric equation of line
PQ is x=2+5t, y=4+5t and z=2+3t
i.e.
x=2+5t, y=4+5t and z=2+3t
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978%37=
26 R16
26 R36
26 R26
26 R6
Answer:
Assuming you meant division.
26 R16
Step-by-step explanation:
[tex]Borrow\:8\\= 97\\= 97 - 74(37 \cdot 2)\\= 23\\Drop\:the\:borrowed\:8\\= 238\\= 238 - 222(37 \cdot 6)\\= 16\\\\26\:R16[/tex]
➲ Hope this helps.
Answer:
26 R16
Step-by-step explanation:
11. The relationship between adult dog weight x in pounds and the daily
recommended amount of dog food y in cups is proportional.
Dog weight (lb)
Dog food (cups)
10
116
40
W|N
2
3
50
556
100
13
Write an equation for the relationship. How much dog food is
recommended for a 25-pound adult dog?
5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.
We are given that:
The relationship between x and y
We need to find the dog food for the 25-pound adult dog
The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.
x = k y
k = x / y
k = 10 / 1/6
k = 10 (6)
k = 60
Let the dog food recommended for the 25-pound adult dog be y.
Weight of the dog = x = 25 pounds
Cups of dog food recommended = y
k = 60
Using the equation for the given relationship:
25 = 60 × y
y = 25 / 60
y = 5 / 12
Therefore, 5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.
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pls wawawa 20000+8000+40+502+79805
Answer:
108347 (srry for not seeing bestay)
Step-by-step explanation:
joyce paid $120 for an item at the store that was 30 percent of the original price. what was the original price?
The Original price of the item was $400.
Percentage can be defined as a number that denotes hundredth part of any quantity.
For Example , 50%of 30 =[tex]\frac{50}{100} *30=\frac{1500}{100} =15[/tex].
In the given question
Amount paid by Joyce = $120
Let the original price =x
Percent of original price = 30%
According to the given Question
30% of x =120
[tex]\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400[/tex]
Therefore , the Original price of the item was $400.
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Please help asap!!!!
Answer:
A
Step-by-step explanation:
Can someone help me???
A student says that the function represented by the rule [tex]y = x^{2} -1[/tex] is ,
Then the x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.
Then the x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Then the x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Consider function,
[tex]y = x^{2} -1[/tex]
For x = 0 and y = -1
[tex]y = x^{2} -1[/tex]
We can substitute x = 0 and y = -1 values,
-1 = [tex]0^{2}[/tex] - 1
-1 = 0-1
-1 = -1
Then the x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.
For x = 1 and y = 1
[tex]y = x^{2} -1[/tex]
We can substitute x = 1 and y = 1 values,
[tex]y = x^{2} -1[/tex]
1 = [tex]1^{2}[/tex] -1
1 = 1-1
1 ≠ 0
Then the x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
For x = 2 and y = 3
[tex]y = x^{2} -1[/tex]
We can substitute x = 2 and y = 3 values,
[tex]y = x^{2} -1[/tex]
3 = [tex]2^{2}[/tex] - 1
3 = 4 -1
3 = 3
Then the x = 2 and y = 3 represented by rule [tex]y = x^{2} -1[/tex] is correct .
For x = 3 and y = 5
[tex]y = x^{2} -1[/tex]
We can substitute x = 3 and y = 5 values,
[tex]y = x^{2} -1[/tex]
5 = [tex]3^{2}[/tex] - 1
5 = 9 - 1
5 ≠ 8
Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
For x = 4 and y = 7
[tex]y = x^{2} -1[/tex]
We can substitute x = 4 and y = 7 values,
[tex]y = x^{2} -1[/tex]
7 = [tex]4^{2}[/tex] - 1
7 = 16 - 1
7 ≠ 15
Then the x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Therefore,
The function represented by the rule [tex]y = x^{2} -1[/tex] is ,
x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.
x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
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Tell me the order these go in
The statements and reasons to find x in a two column proof are as detailed below.
How to carry out two column proofs?
From the given image, we can carry out the two column proof to find the value of x as;
Statement 1; ∠QWT and ∠TWX are complementary
Reason 1; Given
Statement 2; m∠QWT + m∠TWX = 90°
Reason 2; Definition of Complementary angles
Statement 3; 2x + x + 6
Reason 3; Substitution
Statement 4; 3x + 6 = 90°
Reason 4; Addition
Statement 5; 3x = 84
Reason 5; Subtraction
Statement 6; x = 28
Reason 6; Division
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If BC = x + 1, CD = 14x − 10, and BD = 6, what is CD? x + 1 B 14x − 10 C D 6 Simplify your answer and write it as a proper fraction, mixed number, or integer.\
Solving all the linear equation The value of CD is 6.
An algebraic equation known as a linear equation has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
Now According to the question
BC = x+1
CD = 14x - 10
BD = 6
by this we can say that
BC + CD = BD
no by substitution method putting values of BC , CD and BD
(x + 1) + (14x - 10) = 6
15x - 9 =6
15x = 15
x = 1
now again by substitution method putting value of x in to 14x-10 we get
CD = 14(1)-10
CD = 4
Hence the value of CD = 4
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a car starts from a point at 2:00 p.m. and travels north at 40 mph. another car starts from the same point at 3:00 p.m. and travels west at 50 mph. after the second car has traveled 1 h, at what rate is the distance between the two cars changing?
The distance between the cars changes by 60.42mph.
What is distance?Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.
Calculations:
[tex]d=\sqrt{80^{2}+50^{2} } \\[/tex]
d=94.34
1st car -- 40mph/hr
2nd car-- 50 mph/hr
The positions of cars at 4pm
Distance travelled by 1st car = 80m
Distance travelled by 2nd car = 50m
[tex]d^{2}=a^{2} +b^{2}[/tex]
2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40
dd/dt=(2500+3200)(94.34) =60.419
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-50+26 =
-41 +{-25}=
Answer:
-50+26=-24
-41+(-25)=-66
HELOPPP
What number is 0.1 more than 30.7?
Responses
30.71
30.71
30.8
30.8
31.7
31.7
31.8
Answer:
Step-by-step explanation:
its 30.8. this is because .7 + .1 = .8 . Now just add that to the 30 and you get 30.8
Answer:
30.8
Step-by-step explanation:
All you have to do is take the 0.1 and add it to the 30.7 so you would add it to the .7 which gives you 8 and now just put the 30 back with your decimal
find a vector equation and parametric equations for the line. (use the parameter t.) the line through the point (5, 2.5, 3.1) and parallel to the vector 4i 3j − k
The line we want is given by the vector equation
L(t) = (4i + 3j - k) t + (5i + 2.5j + 3.1k)
L(t) = (4t + 5) i + (3t + 2.5) j + (-t + 3.1) k
As parametric equations, we write
x(t) = 4t + 5
y(t) = 3t + 2.5
z(t) = -t + 3.1
The left and right page numbers of an open book are two consecutive integers whose sum is 27. Find these page numbers. The smaller page number is__.The larger page number is__.
Answer:
13, 14
Step-by-step explanation:
(x) + (x + 1) = 27
2x + 1 = 27
- 1 - 1
2x = 26
2x/2 = 26/2
x = 13
x + 1 = 14
smaller page number: 13
larger page number: 14
Suni needs to repay her school loan in 4 years.How much must she semiannually deposit into an account that pays 0.9% interest, compounded semi annually, to have $100,000 to repay the loan?
Suni needs to deposit $12,304.45 semiannually to have $100,000 to repay the loan at 0.9% interest.
What are periodic payments?Periodic payments are equal payments made periodically to settle a mortgage loan.
The periodic payment for a loan can be computed using an online finance calculator.
Data and Calculations:N (# of periods) = 8 times (4 years x 2)
I/Y (Interest per year) = 0.9%
PV (Present Value) = $0
FV (Future Value) = $100,000
Results:
PMT = $12,304.45
Sum of all periodic payments = $98,435.60 ($12,304.45 x 8)
Total Interest $-1,564.40
Thus, the periodic deposit that Suni needs to make semiannually to have $100,000 to repay the loan at 0.9% interest is $12,304.45.
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what does the highest common factor mean?
Answer:
The highest/greatest common factor in math is the highest integer out of two numbers that share the same or a very similar set of factors.
E.G
12: 1, 2, 3, 4, 6, 12
6: 1, 2, 3, 6
➲ Hope this helps!
the midpoint of uv is m(10, 6). one endpoint is v(10, 7). find the coordinates of the other endpoint u.
The answer is u = (10, 5)
Step-by-step explanation:
Imagine u = (x, y)
10 = x/2 + 10/2
10 = x/2 + 5
20 = x + 10
x = 20 - 10
x = 10
u = (10, y)
6 = y/2 + 7/2
6 = y/2 + 3.5
12 = y + 7
y = 5
u = (x, 5)
Thus, u = (10, 5)
PLEASE HELP!!! 20 points!!!
In the diagram below, M is the midpoint of KL.
Solve for the value of x.
HELPPPP!!!! I NEED THIS NOW!!!!!
(hope that didn't sound rude lol. I'm just in a hurry)
Applying the segment addition postulate, the length of EF is: b. 11.
What is the Segment Addition Postulate?The segment addition postulate states that points D, E, and F are collinear, therefore:
DE + EF = DF
Given the following:
DE = x + 22
EF = x + 23
DF = 21
Plug in the values
x + 22 + x + 23 = 21 [segment addition postulate]
Add like terms
2x + 45 = 21
2x + 45 - 45 = 21 - 45
2x = 21 - 45
2x = -24
2x/2 = -24/2
x = -12
EF = x + 23
Plug in the value of x
EF = -12 + 23
EF = 11 units
Therefore, applying the segment addition postulate, the length of EF is: b. 11.
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meaning of prime numbers
Answer:
the number which has no factors is known as prime number
Answer: numbers that have only 1 and itself as factors.
Step-by-step explanation:
An airliner makes a 3,000 mile flight in 7 hours. What is the airliners average rate of speed in miles per hour ?
To find the average rate of speed per miles an hour, do the following equation: miles ÷ hour = miles per hour.
So, we divide 3,000 ÷ 7 = 428.5714285714 but we can make round it to 429.
The airliners average rate of speed in miles per hour is 429 miles per hour.
is 80.279 and 18/25 a rational.or irrational
Answer:
both are rational numbers
Step-by-step explanation:
Answer:
both are irrational numbers.
Step-by-step explanation:
to find earth's equatorial rotation speed, we should divide the circumference of earth by a 24 hours (1 day). to find the rotation speed at any other latitude, you need the following fact: the radial distance from earth's axis at any latitude is equal to the equatorial radius times the cosine of the latitude. (hint: when using the cosine (cos) function, be sure your calculator is set to recognize angles in degree mode, not in radian or gradient mode.) the radius of earth is 6380 kilometers.
The rotational speed is mathematically given as
Rs= 1175.16km/hr
What is the rotational speed?
Generally, the equation for The radial distance from Earth's axis at 40° latitude is mathematically given as
D = Re * cos 40
D= 6380km x 0.76604
D= 4487 km
Generally, the equation for total distance covered in one rotation is mathematically given as
T= Circumference of that latitude
T= 2 π r
T= 2 x 22/7 x 4487
T= 28,204 km
In conclusion, the equation for the rotational speed of a person at 40∘ latitudes is mathematically given as
Rs = Distance / Time
Rs= 28,204km/24hr
Rs= 1175.16km/hr
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CQ
to find earth's equatorial rotation speed, we should divide the circumference of earth by a 24 hours (1 day). to find the rotation speed at any other latitude, you need the following fact: the radial distance from earth's axis at any latitude is equal to the equatorial radius times the cosine of the latitude. (hint: when using the cosine (cos) function, be sure your calculator is set to recognize angles in degree mode, not in radian or gradient mode.) the radius of earth is 6380 kilometers.
Find the rotation speed for a person at latitude 40∘N.
Express your answer in kilometers per hour using three significant figures.