Answer:96
Step-by-step explanation:
(4x4)+(4x4)+(4x4)+(4x4)+(4x4)+(4x4)
16+16+16+16+16+16
48+48
96
Which number is 8 units away from -2 on this number line? -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Answer:
6
Step-by-step explanation:
HELPP I need the answer
Answer:
H(1 , 0.5)
F(3 , 2,5)
G(5 , 0.5)
Step-by-step explanation:
First step is to get the coordinates of the points.
H(2,1)
F(6,5)
G(10,1)
To find the vertices after a dilation, we multiply the coordinates by the scale factor of the dilation. Since the scale factor is 0.5, its the same as dividing by two.
The new points are
H(1 , 0.5)
F(3 , 2,5)
G(5 , 0.5)
A lot of 90 bolts contains 8 in which the variability in the diameter of the bolt is unacceptable. A sample of 15 bolts is selected at random, without replacement. a) What is the probability that all bolts are of acceptable diameter? b) What is the probability that at least 2 unacceptable bolts are in the sample? c) What is the mean number of unacceptable bolts? d) What the variance for unacceptable bolts?
a) The probability that all bolts are of acceptable diameter: From the lot of 90 bolts containing 8 bolts with unacceptable diameter, the number of acceptable bolts is 82. the probability of selecting no unacceptable bolt or one unacceptable bolt: P(No unacceptable bolt) + P(One unacceptable bolt)
= 1 - P(at least 2 unacceptable bolts)The probability of selecting no unacceptable bolt is:P(No unacceptable bolt) = (82/90) × (81/89) × (80/88) × ... × (69/77) × (68/76)The probability of selecting one unacceptable bolt is:P(One unacceptable bolt) = [(8/90) × (82/89) × (81/88) × ... × (69/83) × (68/82)] + [(82/90) × (8/89) × (81/88) × ... × (69/83) × (68/82)] + ... + [(82/90) × (81/89) × ... × (9/83) × (8/82)]P(One unacceptable bolt) ≈ 0.5068 (rounded to four decimal places)Therefore, P(at least 2 unacceptable bolts) unacceptable bolts.μ
= (0 × P(0)) + (1 × P(1)) + (2 × P(2)) + ... + (8 × P(8))
= (0 × P(0)) + (1 × P(1)) + (2 × P(2)) + (3 × P(3)) + (4 × P(4)) + (5 × P(5)) + (6 × P(6)) + (7 × P(7)) + (8 × P(8))= Σxp(x)For example, the probability of selecting exactly 3 unacceptable bolts is: P(3 unacceptable bolts)
= [(8/90) × (7/89) × (6/88)] × [(82/87) × (81/86) × ... × (76/77)]≈ 0.0156 (rounded to four decimal places)
= (0 × P(0)) + (1 × P(1)) + (2 × P(2)) + (3 × P(3)) + (4 × P(4)) + (5 × P(5)) + (6 × P(6)) + (7 × P(7)) + (8 × P(8))≈ 0.7759 (rounded to four decimal places)d) The variance for unacceptable bolts:. The variance for unacceptable bolts is:σ² = [(0 - 0.7759)² × P(0)] + [(1 - 0.7759)² × P(1)] + [(2 - 0.7759)² × P(2)] + ... + [(8 - 0.7759)² × P(8)]≈ 1.2919 (rounded to four decimal places)Therefore, the variance for unacceptable bolts is approximately 1.2919.
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the red means it’s wrong, but please help me
The equation with infinitely many solutions is given as follows:
a. 3 - 4x = -6(2x/3 - 1/2).
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.A system of equations will have infinitely many solutions when the slope and the intercept for the two functions is the same.
Hence this is true for option a, as:
-6(2/3x - 1/2) = -12x/3 + 6/2 = -4x + 3.
Which is equals to the left side of the equality.
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Please please answer ASAP
Answer:
12 upon 30 is the write answers I think and it would help you
What is 7/8 + 8/45 =
Step-by-step explanation:
1.05277777778
hope it helps!
Answer:
1 19/360
Step-by-step explanation:
What we know:
The addends in this equation are 7/8 and 8/45.
First, find the LCM of 8 and 45. Since 8 and 45 don't have any common factors other than 1, just multiply the two numbers.
8 * 45 = 360
After that, find the equivalent fraction for both addends
7/8 * 45/45 = 315/360
8/45 * 8/8 = 64/360
Then, add the two new fractions together, and simplify if needed.
315/360 + 64/360 = 379/360 = 1 19/360
Keshav and Noel started to cycle together from Nehru Park. Keshav takes a break to drink water after (k hours), where k is the first smallest prime natural number. Noel takes a break to drink water after (n hours), where n is the fifth smallest composite natural number.
Calculate the LCM (k, n) and HCF (k, n).
Answer:
LCM (k, n) = 10 and HCF(k, n) = 2
Step-by-step explanation:
The given parameters are;
The time after which Keshav takes a break = k hours
The value of k = The first smallest prime natural number
Therefore, by mathematical definition, k = 2
The time after which Noel takes a break = n hours
The value of n = The fifth smallest composite natural number
The first five composite numbers are given as follows;
4, 6, 8, 9, and 10
Therefore, the fifth smallest composite natural number = 10 = n
The LCM (k, n) = LCM (2, 10) = Least common multiple of 2 and 10 is given as follows;
Dividing by 2, we get;
2/2 = 1, 10/2 = 5
Dividing the result by 5, we get;
5/5 = 1
Multiplying the devisors together gives;
5 × 2 = 10
Therefore, the LCM of 2 and 10 = 10
LCM(2, 10) = LCM (k, n) = 10
The HCF(k, n) = HCF of 2 and 10 = The highest common factor that divides both 2 and 10 is given as follows;
Dividing 2 and 10 by 2 gives;
2/2 = 1 and 10/2 = 5
Therefore, HCF(k, n) = The highest common factor of 2 and 10 = HCF(2, 10) = 2
10
Find the area of the shape.
Either enter an exact answer in terms of ar or use 3.14 for and enter your answer as a decimal.
a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future value of the investment in dollars after t years. f(t)
The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t
Give, a lump sum of $2000 is invested at 4.2% compounded continuously.
Hence we have:
P = $2000
rate of interest = 4.2%
years = t
we know that A = Pe^rt
Substitute the above values in the formula.
Amount = f(t)
f(t) = 2000.e⁰·°⁴²t
hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t
Therefore we get the required function.
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Find the value of TN.
A. 32
B. 30
C. 10
D. 38
The value of TN for this problem is given as follows:
B. 30.
How to obtain the value of TN?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Then the value of x is obtained as follows:
8(x + 20) = 12 x 20
x + 20 = 12 x 20/8
x + 20 = 30.
x = 10.
Then the length TN is given as follows:
TN = x + 20
TN = 10 + 20
TN = 30.
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Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø
To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.
The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:
I₁ U I₂ = (-2, 2] U [1, 5)
To find the union, we combine the intervals while considering their overlapping points:
I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)
So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).
Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:
I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)
To find the intersection, we consider the overlapping range between the two intervals:
I₁ ∩ I₂ = [1, 2]
Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].
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In AEFG, e = 6.9 inches, f = 8.7 inches and /G=27°. Find the length of g, to thenearest 10th of an inch.
We will determine the length of g as follows:
*First: We will use the law of cosines to solve, that is:
\(g^2=(8.7)^2+(6.9)^2-2(8.7)(6.9)\cos (27)\)*Second: We solve:
\(g=4.040514411\ldots\Rightarrow g\approx4.0\)So, the measure of the side g is approximately 4.0 inches long.
Marias bank account balance tripled and then lost 35.50 and is now 13 dollars.
Answer:
$145.5
Step-by-step explanation:
Why is the z-score considered a standardized score
Answer:Z-scores are also known as standardized scores; they are scores (or data values) that have been given a common standard.
Step-by-step explanation:
A statistical study involves a data set of the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014.
What type of observational study is this?
A) cross-sectional study
B) Retrospective study
C) Prospective study
D) Experiment
The study described is a retrospective study.
A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.
In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.
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The statistic that reflects the distribution of values for a variable is called?
Answer:
Standard Deviation
Step-by-step explanation:
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for each puppet. How many puzzles and puppets will each one have after they complete their trade
After completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.
Here,
Let's assume the two toy store owners are Store Owner A and Store Owner B.
Before the trade, Store Owner A has 30 puzzles and 0 puppets, and Store Owner B has 0 puzzles and 10 puppets.
They agree to trade 30 puzzles for 10 puppets at a rate of 3 puzzles for each puppet.
So, for every 3 puzzles, Store Owner A will receive 1 puppet.
Store Owner A gives away 30 puzzles and receives 30 / 3 = 10 puppets.
After the trade, Store Owner A has 0 puzzles and 10 puppets.
Store Owner B gives away 10 puppets and receives 10 * 3 = 30 puzzles.
After the trade, Store Owner B has 30 puzzles and 0 puppets.
So, after completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.
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The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer
The value of k to the nearest integer is 21
Let the number of international tourist arrivals in Russia in 2011 be kIf the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:
k = 24.7 - (13% of 24.7)
k = 24.7 - (0.135 * 24.7)
k = 24.7 - 3.3345
k = 21.3655
Hence the value of k to the nearest integer is 21
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parallelogram calc: find p, b=n/a, a=n/a
Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
To find the perimeter (p) of a parallelogram, you need to know the length of all four sides. However, in this case, you are given the ratio of the base (b) to one of the sides (a), which is n/a.
Since a parallelogram has two pairs of parallel sides, the opposite sides are equal in length. Therefore, if the base is b, then the opposite side is also b. Using the given ratio, you can find the length of the other side (n) by multiplying a by n/a, which is n.
So, the length of the other side is also n, and the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
However, if given the ratio of the base to one of the sides, you can use this to find the length of the other side. For this problem, if the base is b, then the opposite side is also b, and the length of the other side is n (where n/a = b/a).
Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
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Please help i will give brainliest
Answer: 50
Step-by-step explanation:
The total cost to buy 12 candy bars if each one costs the same
translate to math expression.
A box is to be wrapped in a shiny pink decorative paper. The box is 99 inches long, 55 inches wide, and 44 inches high. What is the minimum amount of decorative paper needed to cover the box?
Answer:
24442 square inches of decorative paper
Step-by-step explanation:
To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.
Hence, the formula is given as:
A = 2(wl + hl+ hw)
Where:
Length (l) = 99 inches
Width (w) = 55 inches
Height (h) = 44 inches
=2 × (55×99 + 44×99 + 44×55)
=24442 square inches
Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.
The cable company is analyzing the data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded.
Satellite Company X: 89 live, 430 recorded
Satellite Company Y: 65 live, 94 recorded
To the nearest whole percent, what is the probability that a randomly selected customer from Satellite Company Y watches recorded shows more often than live television?
41%
59%
77%
83%
Answer: B on Edge2021
Step-by-step explanation:
Just took the test
Probability that a randomly selected customer from Satellite Company Y watches recorded shows more often than live television is 59%.
What is Probability?Probability is simply the likelihood that something will occur.
Probability of customer randomly selected from Company Y:
Probability(Y)=Recorded/(Live+Recorded)
Probability(Y)=94/(65+94)
Probability(Y)= 94/159
Probability(Y)= 0.59119 ×100
Probability(Y)= 59.12%
Probability(Y)= 59% (Approximately)
Therefore, probability of a randomly selected customer from Satellite Company Y is 59%.
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Find the measures of DX and DY
DX and DY:
The angle measures of X and Y are given as follows:
<X = <Y = 75º.
How to obtain the angle measures of X and Y?The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
The polygon for this problem has four sides, hence the sum of the measures is of:
S(4) = 180 x (4 - 2)
S(4) = 360º.
Adding the four measures, and considering the X and Y have equal measure, the measures are given as follows:
<X + <Y + 90º + 120º = 360º
<X + <X + 210º = 360º
2<X = 150º
<X = 150/2
<X = 75º.
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use the factors of the function and the y-intercept to find the standard form of the equation representing jared’s function. type the correct answer in the box.
To find the standard form of the equation representing Jared's function, we need the factors of the function and the y-intercept. However, the given information does not provide the necessary factors or specific details about the function.
The standard form of an equation is typically written as Ax + By = C, where A, B, and C are constants. Without the factors or additional information about the function, it is not possible to determine the standard form equation representing Jared's function.
If you can provide more details or information about the function, such as the factors or any other relevant information, I would be happy to assist you in finding the standard form equation.
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Hi Can you help me with this math question
i will give you 20 points if you can help me
Answer:
a) all equations must have an equal sign
b) (5,15) and (6, 18)
c) don't know Cop?
d) f(p) = 3g where 'p' is points and 'g' is goblins defeated
e) f(12) = 3(4)
Step-by-step explanation:
how many solutions can a system of 2 linear equations in 2 variables have? give all options. explain visually, symbolically, and verbally
Symbolically, they correspond to the relationships between the coefficients of the equations.
A system of 2 linear equations in 2 variables can have one of the following three possible solutions:
One unique solution: In this case, the two lines intersect at exactly one point, and this point is the solution to the system. Visually, the two lines are not parallel, but they are not the same either. Symbolically, the system is represented as:
a1x + b1y = c1
a2x + b2y = c2
where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables.
Infinitely many solutions: In this case, the two lines coincide and are on top of each other, meaning they have the same slope and the same y-intercept. Visually, the two lines are identical. Symbolically, the system is represented as:
a1x + b1y = c1
ka1x + kb1y = kc1
where a1, b1, and c1 are constants, x and y are variables, and k is any non-zero constant.
No solution: In this case, the two lines are parallel and never intersect. Visually, the two lines are distinct and never meet. Symbolically, the system is represented as:
a1x + b1y = c1
a2x + b2y = c2
where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables, and the slope of one line is not equal to the slope of the other.
Geometrically, these cases correspond to the three possible positions of two lines in the coordinate plane. Symbolically, they correspond to the relationships between the coefficients of the equations.
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determine whether or not the vector field is conservative. f(x,y) = 33x2y2i + 22x3yj
The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.
To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:
∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2
Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:
φ(x,y) = 11x^3y^2 + 11x^2y^2 + C
where C is the constant of integration.
Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.
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Solve for x plz and thank you smmmm
Answer:
12x-4=80
12x=80+4
=84
x=84÷12
=7
Justin buys 12 pencils for $0.56. He pays with a $10 bill. How much charge will he recieve?
I don't imagine you could divide with this since the answer would lead to 0.04 but if so i'm an idiot.
The way i would do it is 12 x 0.56 which makes 6.72. (it just makes sense?)
So for the 0.04 he would get back 9.96
The 6.72 he would get back 3.28
Sorry i considered the possibilities.
Answer:
$3.28
Explanation:
First, multiply 12 times 0.56.
12 x 0.56 = 6.72
The answer would be $6.72.
In order to find how much change he would receive, you need to subtract 10.00 - 6.72.
10.00 - 6.72 = 3.28