Answer:
1/14
Step-by-step explanation:
Consider the table, showing the official mean weight and estimated standard deviation for five U.S. coins. Suppose a
vending machine is designed to reject all coins with weights more than 2 standard deviations above or below the
mean.
Click the icon to view the table.
For each coin, find the range of weights that are acceptable to the vending machine. Complete the table below.
Range of weight (grams)
Coin
Cent
Nickel
Dime
Quarter
Half dollar
n example
(Round to three decimal pla
...
Get more help.
Data table
Coin
Cent
Nickel
Dime
Quarter
Half dollar
h
Weight (grams) Estimated standard deviation
(grams)
2.500
5.000
2.268
5.670
11.340
0.04
0.09
0.03
0.08
0.13
Answer:
no sé talvez sería
bueno no sé jajaja
I NEED HELP ON THIS EQUATION PLEASE. Simplify the radical expression so that you can be written as k h^r s^t
[tex]\cfrac{\sqrt[5]{1024h^{-8}s^5}}{\sqrt[5]{h^{-5}s^9}}\implies \sqrt[5]{\cfrac{1024h^{-8}s^5}{h^{-5}s^9}}\implies \left( \cfrac{2^{10}h^{-8}s^5}{h^{-5}s^9} \right)^{\frac{1}{5}}\implies \left( \cfrac{2^{10}}{h^{-5}h^8s^{-5}s^9} \right)^{\frac{1}{5}}[/tex]
[tex]\left( \cfrac{2^{10}}{h^{8-5}s^{9-5}} \right)^{\frac{1}{5}}\implies \left( \cfrac{2^{10}}{h^3 s^4} \right)^{\frac{1}{5}}\implies \cfrac{2^{10\cdot \frac{1}{5}}}{h^{3\cdot \frac{1}{5}}s^{4\cdot \frac{1}{5}}} \\\\\\ \cfrac{2^2}{h^{\frac{3}{5}}s^{\frac{4}{5}}}\implies {\Large \begin{array}{llll} \stackrel{k ~ ~~ ~ r ~~~ t }{4h^{-\frac{3}{5}}s^{-\frac{4}{5}}} \end{array}}[/tex]
PLEASE HELP I WILL GIVE 60 PTS ANDDD I WILL GIVE BRAINLISET!!
The second x - intercept on the graph of a car that has been travelling for 8 hours, represents the end of the car's journey.
How to show a car's journey on a graph ?To show a car's journey on a graph with two x-intercepts, determine the scale for your x-axis and y-axis based on the range of values for your car's journey.
The x-intercepts represent the points where the car starts and ends its journey. These points should be plotted on the x-axis at the appropriate values based on your scale. Once you have plotted the x-intercepts and any intermediate points, connect them with a line to show the car's journey.
In conclusion, the second x - intercept shows the end of the car's journey.
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Hugo averages 72 words per minute on a typing test with a standard deviation of 7 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(72,7). Suppose Hugo types 80 words per minute in a typing test on Wednesday. The z-score when x=80 is ________. This z-score tells you that x=80 is ________ standard deviations to the ________ (right/left) of the mean, ________. Correctly fill in the blanks in the statement above. Select the correct answer below:
Answer:
i don't know
Step-by-step explanation:
good luck bro
(alright I'm just here for the points so yeah bye)
I will mark you brainiest!
What is the area of a rhombus whose sides are all 15 units and whose height is 6 units?
A) 90 units2
B) 88 units2
C) 76 units2
D) 63 units2
write in exponential notation
Answer:
[tex](-6)^{7}[/tex]
Step-by-step explanation:
using the rule of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
then
[tex](-6)^{5}[/tex] × (- 6)²
= [tex](-6)^{(5+2)}[/tex]
= [tex](-6)^{7}[/tex]
Select the correct answer. Given: p || q, and r || s. Linear pair theorem that is angle 1 is supplementary to angle 2 moves down to angle 2 equals angle 6. As for parallel lines cut by a transversal, corresponding angles are congruent. This moves down to blank box with question mark. Prove: ∠1 and ∠14 are supplementary angles. Two vertical parallel lines p and q runs through two horizontal parallel lines r and s to form 16 angles numbered from 1 to 16. What is the next step in the proof? Choose the most logical approach. A. Statement: ∠6 ≅ ∠14 Reason: For parallel lines cut by a transversal, corresponding angles are congruent. B. Statement: ∠6 ≅ ∠7 Reason: Vertical Angles Theorem C. Statement: ∠6 and ∠5 are supplementary. Reason: Linear Pair Theorem D. Statement: m∠6 + m∠8 = 180° Reason: angle addition
what is -7 in binary and also what is -5 in binary
Answer:
-7 in binary is -0b111.
-5 in binary is -0b101.
Step-by-step explanation:
Answer:
-111
-101
Step-by-step explanation:
Binary uses powers of 2.
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
7 = 4 + 2 + 1
7 = 1 × 2^2 + 1 × 2^1 + 1 × 2^0
7 in binary is 111
-7 in binary is -111
5 = 4 + 1
5 = 1 × 2^2 + 0 × 2^1 + 1 × 2^0
5 in binary is 101
-5 in binary is -101
the sum of the base and the height of a triangle is 22cm find the dimension for which the area is a maximum height and base
Answer: Let's call the base of the triangle "b" and the height of the triangle "h". We are given that the sum of the base and the height is 22 cm, so we can write:
b + h = 22
We want to find the dimensions for which the area of the triangle is a maximum. The formula for the area of a triangle is:
A = (1/2)bh
We can use the equation b + h = 22 to solve for h in terms of b:
h = 22 - b
We can substitute this expression for h into the formula for the area:
A = (1/2)b(22 - b)
Simplifying this expression, we get:
A = 11b - (1/2)b^2
To find the value of "b" that maximizes the area, we can take the derivative of this expression with respect to "b" and set it equal to zero:
dA/db = 11 - b = 0
Solving for "b", we get:
b = 11
Substituting this value of "b" back into the equation b + h = 22, we get:
h = 22 - b = 22 - 11 = 11
Therefore, the dimensions for which the area of the triangle is a maximum are:
base = 11 cm
height = 11 cm
And the maximum area is:
A = (1/2)bh = (1/2)(11 cm)(11 cm) = 60.5 square cm
Step-by-step explanation:
The sum of the sides of a regular polygon is 96ft, find the measure of it side.
Answer:
two are supplementary. the measure of one of these angles is 12 degrees less than one-third the measure of the other.what is the measure of each angle
Let's call the measures of the two angles x and y, where x is the larger angle. We know that the two angles are supplementary, which means they add up to 180 degrees:
x + y = 180
We also know that one of the angles (let's say y) is 12 degrees less than one-third the measure of the other angle (x):
y = (1/3)x - 12
Now we can substitute the second equation into the first equation to solve for x:
x + (1/3)x - 12 = 180
Multiplying both sides by 3 to get rid of the fraction, we have:
3x + x - 36 = 540
Combining like terms, we get:
4x - 36 = 540
Adding 36 to both sides, we get:
4x = 576
Dividing both sides by 4, we get:
x = 144
Now we can use the first equation to solve for y:
144 + y = 180
Subtracting 144 from both sides, we get:
y = 36
Therefore, the measures of the two angles are 144 degrees and 36 degrees.
The sum of the sides of a regular polygon is 96ft, find the measure of it side.
Let's say that the regular polygon has n sides, and each side has length s. The formula for the sum of the sides of a regular polygon is:
sum of sides = n * s
We know that the sum of the sides is 96ft, so we can write:
96 = n * s
We want to find the length of each side, so we need to isolate s on one side of the equation. We can do this by dividing both sides by n:
s = 96/n
Now we can substitute this expression for s into the formula for the perimeter of a regular polygon:
Perimeter = n * s
Perimeter = n * (96/n)
Simplifying this expression, we get:
Perimeter = 96
We know that the perimeter of a regular polygon is the sum of the lengths of all its sides, so we can divide the perimeter by the number of sides to find the length of each side:
s = Perimeter / n = 96 / n
Therefore, the length of each side of the regular polygon is 96/n feet. We cannot determine the value of n from the given information in the problem.
How do l do this I don’t know
Answer:
£6.8
Step-by-step explanation:
to make 1 litre of drink juice and lemonade are in the ratio
= 1: 4
juice costs £6 per litre
lemonade costs 50p per litre
to make 1 litre lemonade will cost 4 * 50p = 200p
1£ = 250p
thus, 200p = £.8
thus, cost to make 1 litre of the fruit drink is £6.8
Which matrix represents the system of equations shown below?
6x +11y = -4
5x-9y=1
Therefore , the solution of the given problem of equation comes out to be the coefficients of the variables x and y and putting them in a matrix.
An equation is what?To guarantee consistency here between two opposing claims, variable terms are frequently used in complicated algorithms. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, the normalise process gives as rather than just an variable that separates 12 in and out of two parts for use with a data from y + 6.
Here,
In order to visualise the formulae
=> 6x + 11y = -4
=> 5x - 9y = 1
We can set up a vector of constants on the right side and use the values of the variables x and y as entries in a matrix to represent the data in matrix form.
The system's matrix shape is:
| 6 11 | | x | | -4 |
| 5 -9 | * | y | = | 1 |
Consequently, the following is the system's matrix representation:
| 6 11 |
| 5 -9 |
Notably, we acquire the system's coefficient matrix by taking the coefficients of the variables x and y and putting them in a matrix.
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How to Solve? I am completely stuck on this assignment and I haven't found an answer yet.
∑10 n=1 4(1/4)^n-1
[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ n=10\\ a_1=4\\ r=\frac{1}{4} \end{cases}[/tex]
[tex]{\displaystyle\sum_{n=1}^{10}}~4\left( \frac{1}{4} \right)^{n-1}\implies 4\left( \cfrac{1-\left( \frac{1}{4} \right)^{10}}{1-\frac{1}{4}} \right)\implies 4\left( \cfrac{\frac{1048575}{1048576}}{\frac{3}{4}} \right) \\\\\\ 4\left( \cfrac{349525}{262144} \right) \implies \cfrac{349525}{65536} ~~ \approx ~~ 5.33[/tex]
Share #720 among A, B and C in the ratio 2:3
When $720 is shared among A, B, and C in the ratio of 1:2:3, each individual will get:
A = $120B = $240C = $360.What is the sharing ratio?The sharing ratio describes the ratio, proportion, or relative size of profit or an amount that a sharing partner receives.
Ratios are expressed in percentages, decimals, fractions, or in standard ratio form (:).
Sharing ratios are based on some agreed factors or criteria.
The total sum to be shared = $720
The sharing ratio = 1:2:3
The sum of ratios = 6
A's share of $720 = $120 ($720 x 1/6)
B's share of $720 = $240 ($720 x 2/6)
C's share of $720 = $360 ($720 x 3/6)
Thus, based on their sharing ratios, A will receive $120, B $240,and C $360 from the total of $720.
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Complete Question:Share $720 among A, B, and C in the ratio of 1:2:3.
Slope models the direction and steepness of a line, while the y intercept defines the starting point. Explain what following equation of a line represents y=-2/3x+6
The equation y = (-2/3)x + 6 represents a line that is decreasing from left to right and intersects the y-axis at the point (0, 6).
What is the Slope?The slope refers to the measure of the steepness of a line or a curve. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line or the curve.
The equation of a line can be written as with the help of slope intercept form is given by:
y = mx + b
Where "b" is the y-intercept and "m" is the line's slope of the line.
In the equation y = (-2/3)x + 6, we can see that the slope 'm' is -2/3, which means that for every unit increase in x, the y-value decreases by 2/3 of a unit. This tells us that the line represented by this equation is decreasing (i.e., sloping downwards) from left to right.
The y-intercept 'b' is 6, which means that the line intersects the y-axis at the point (0, 6). This is the starting point of the line, where the value of y is 6 when x is 0.
Therefore, the equation y = (-2/3)x + 6 represents a line that is decreasing from left to right and intersects the y-axis at the point (0, 6).
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Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In his closet, he has 45 ties, 34 of which he feels go well with the sportcoat. If Casey selects one tie at random, determine the probability and the odds of the tie going well or not going well with the sportcoat.
SOLUTION
Total no of ties = 45
Number of ties that he feels goes well with jacket = 34
Number of ties that he feels does not go well with jacket = 45 - 34 = 11
a) Probability that tie goes well with jacket =
[tex]\dfrac{\text{Number of ties that goes well with jacket}}{\text{Total number of ties}}[/tex]
[tex]=\dfrac{34}{45}[/tex]
b) Probability that a tie does not go well with jacket
[tex]\dfrac{\text{Number of ties that doe not goes well with jacket}}{\text{Total ties}}[/tex]
[tex]=\dfrac{11}{45}[/tex]
Which statement describes how to solve
Square both sides once and then solve the resulting linear equation.
Square both sides once and then solve the resulting quadratic equation.
Square both sides twice and then solve the resulting linear equation.
Square both sides twice and then solve the resulting quadratic equation.
The statement "Square both sides twice and then solve the resulting linear equation." describes the correct process to solve √(3x+4)=√3x+4
How to solve √(3x+4)=√3x+4?Given equation:
[tex]\sqrt{3x} + 4= \sqrt[]3{x} + 4[/tex]
Square both sides :
[tex]3x+4=3x + 16+8\sqrt{3x}[/tex]
= [tex]8\sqrt{3x} =-12[/tex]
Square both sides again
[tex]64[/tex] × [tex]3x[/tex][tex]=144[/tex]
= x=3\4
What are linear equations?Linear equations are mathematical expressions that describe a straight line on a coordinate plane. They are used to model relationships between variables that have a constant rate of change or a constant slope.
Linear equations are fundamental and essential in many areas of mathematics, science, and engineering, and are used extensively in algebra, geometry, calculus, statistics, and physics.
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Complete question:
Which statement describes how to solve √(3x+4)=√3x+4?
Directions: Answer problem #2
The trigonometry equations when evaluated are ∅ = 82π/125 and ∅ = 28π/23
How to evaluate the trigonometry equationEquation 1
Given that
cos ∅ = -8/17, π/2 < ∅ < π
Take the arc cos of both sides of the equation
So, we have the following
∅ = 82π/125
Equation 2
The trigonometry equation from the question is given as
tan ∅ = 2/5
The domain of the function is given as
π < ∅ < 3π/2
This means that the definition of the function is
tan ∅ = 2/5, π < ∅ < 3π/2
Take the arc tan of both sides of the equation
So, we have the following
∅ = tan⁻¹(2/5), π < ∅ < 3π/2
Express fraction as decimal
This gives
∅ = tan⁻¹(0.4), π < ∅ < 3π/2
Evaluate the arc tan
∅ = 28π/25
Hence, the measure of the angle is approximately 28π/23
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Someone help quick , what is the missing number
Therefore , the solution of the given problem of function comes out to be (g - f)(-1) = 29.
What exactly does function mean?The math lesson covers an extensive variety of subjects, including geometry, integers, one's divisions, construction, and both real and imagined geographic places. A work covers the connections between various variable that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinct results for each input.
Here,
We must first evaluate g(-1) and f(-1) before subtracting the results to obtain (g - f)(-1).
We possess
=> g(x) = 5x + 18
=> g(-1) = 5(-1) + 18 = 13
=> f(x) = x² - 17
=> f(-1) = (-1)² - 17 = -16
Therefore:
=> (g - f)(-1) = g(-1) - f(-1) = 13 - (-16) = 29
So, (g - f)(-1) = 29.
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create a pattern for the rule a +4
The pattern fοr the given rule is 5, 6, 7, 8, 9 and sο οn.
What is a pattern?
A pattern is a regular arrangement οf symbοls, such as numbers, geοmetric fοrms, οr cοlοurs. Sοmetimes the term "series" is used tο describe patterns.
We are given a rule as a + 4, where a = 1, 2, 3, 4, 5, ...On substituting the value οf a in the rule, we get
When a = 1, then a + 4 = 5
When a = 2, then a + 4 = 6
When a = 3, then a + 4 = 7
When a = 4, then a + 4 = 8
When a = 5, then a + 4 = 9
and the pattern cοntinues.
Hence, the pattern fοr the given rule is 5, 6, 7, 8, 9 and sο οn.
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Complete question:
This is the only question:
Create a pattern for the rule a + 4.
I have tried x-1*2 and it didn't work. Please help
Answer:
(x - 1 ) × 3or3x - 3Step-by-step explanation:
I think a number
x
tke away 1x - 1
multiply the result by 3 (to do t his you have to put the brackets at x - 1)(x - 1 ) × 3
solve(x - 1 ) × 3 =
3x - 3
4 m
2 m
What is the volume of the
composite figure?
5 m
3 m
3 m
V = [?]m³
Hint: V-B.h
=
B = Area of Triangular Base
Enter
Answer:
Step-by-step explanation:
Take the meatballs and then add the sauce
after finishing the meat and sauce cook the pasta then
viola perfection
Which is equivalent to 3√2
? Select all that apply
Responses
tan 45°
tan 45°
cos 45°
cos 45°
sin 45°
sin 45°
sin 30°
sin 30°
sin 60°
sin 60°
cos 30°
cos 30°
tan 30°
Answer:
Sin 60°
Sin 60°
Cos 30°
Cos 30°
25. Months A large ship is sailing between three small islands. To do so, the ship must sail between two pairs of islands, avoiding sailing between a third pair. The safest route is to avoid the closest pair of islands. Which is the safest route for the ship?
26. Three cell phone towers form APQR.
The measure of ZQ is 10° less than the measure of LP. The measure of Ris 5° greater than the measure of ZO. Which two towers are closest together?
Answer:
These distances show that AB, which is only 10 nautical miles apart, and AB are the closest pair of islands.
Step-by-step explanation:
We must first locate the three pairs of islands in order to establish which pair is nearest before determining the safest route for the ship.
Give the three islands the letters A, B, and C. The three island groups are designated as AB, AC, and BC. Finding the closest pair is necessary.
We can leverage the separation between the islands to do this. Assuming that the islands are separated by the following distances:
A and B are separated by 10 nautical miles.
A and C are separated by 15 nautical miles.
B and C are separated by 12 nautical miles.
These distances show that AB, which is only 10 nautical miles apart, and AB are the closest pair of islands.
Find the value of X using Trigonometry. Round your answer to the nearest tenth.
Answer:
x ≈ 10.4
Step-by-step explanation:
using the tangent ratio in the right triangle
tan41° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x}[/tex] ( multiply both sides by x )
x × tan41° = 9 ( divide both sides by tan41° )
x = [tex]\frac{9}{tan41}[/tex] ≈ 10.4 ( to the nearest tenth )
Answer:
x=10.34
Step-by-step explanation:
tanФ=opposite ÷ adjacent
tan41°=9/x
0.87=9/x
x=9/0.87
=10.34
If z = x3 + 6x2y + 8y2, find zx and zy.
If
g(x, y) =
3xy − 7x
, find gx and gy.
To find zx and zy, we need to take partial derivatives of z with respect to x and y. Taking z with respect to x, we get zx = 3x2 + 12xy and zy = 6x + 16y. Taking z with respect to y, we get zy = 6x + 16y and g(x, y) = 3xy - 7x. Therefore, gx = 3y - 7 and gy = 3x.
What is derivative?A derivative is a measure of how much a function changes as its input changes. More specifically, the derivative of a function at a particular point is the slope of the function at that point, which describes how quickly the function is changing at that point.
Geometrically, the derivative of a function at a given point can be thought of as the slope of the tangent line to the function at that point.
To find zx and zy, we need to take partial derivatives of z with respect to x and y, respectively.
Given z = [tex]x^3 + 6x^2y + 8y^2[/tex],
Taking partial derivative of z with respect to x, we get:
zx = [tex]3x^2 + 12xy[/tex]
Taking partial derivative of z with respect to y, we get:
zy = 6x + 16y
Therefore, zx = 3x^2 + 12xy and zy = 6x + 16y.
Given g(x, y) = 3xy - 7x,
Taking partial derivative of g with respect to x, we get:
gx = 3y - 7
Taking partial derivative of g with respect to y, we get:
gy = 3x
Therefore, gx = 3y - 7 and gy = 3x.
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Last question anybody can help??
Answer:
Solve:
y = 2x+5
x+y=8
x-x+y=8-x
y = -x + 8
Now:
y = 2x+5
y = -x+8
SUBSTITUTE
-x+8=2x+5 add x on both sides 8 -5 =3x+5 -5
3 = 3x
x= 1
Now for y :
Substitute:
y=2(1)+5
y=7
SOLUTION: )1,7)
The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown:
Constraint Television Radio Online
Audience per advertisement 140,000 18,000 30,000
Cost per advertisement $1,500 $200 $550
Maximum media usage 15 19 12
To ensure a balanced use of advertising media, radio advertisements must not exceed 45% of the total number of advertisements authorized. In addition, television should account for at least 15% of the total number of advertisements authorized.
(a) If the promotional budget is limited to $24,100, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter “0”.
Advertisement Alternatives No of commercial
messages
Television
Radio
Online
What is the allocation of the budget among the three media?
Advertisement Alternatives Budget Allocation
Television $
Radio $
Online $
What is the total audience reached?
(b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? Round your answer to the nearest whole number.
Increase in audience coverage of approximately
The commercial message that need to be run on every medium to maximize the audience is x = 15, y = 7 and z = 12.
Linear programming: What is it?A mathematical method called linear programming is used to maximise a linear objective function under the restrictions of linear equality and inequality. Finding choice variable values that maximise or decrease the objective function while meeting the limitations is required.
Let us suppose the number of advertisement run on television = x.
Let us suppose the number of advertisement run on radio = y.
Let us suppose the number of advertisement run on online = z.
Then,
140,000x + 18,000y + 30,000z
The constraints on the ads run on are as follws:
1,500x + 200y + 550z <= 24,100 (budget constraint)
x <= 15 (television usage limit)
y <= 19 (radio usage limit)
z <= 12 (online usage limit)
y <= 0.45(x+y+z) (radio usage limit as a percentage of total usage)
x >= 0.15(x+y+z)
Using the linear programming model we have:
x = 15, y = 7 and z = 12.
Substitute the value of x, y, and z:
140,000(15) + 18,000(7) + 30,000(12) = 2,910,000
Hence, the commercial message that need to be run on every medium to maximize the audience is x = 15, y = 7 and z = 12.
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Given mn, find the value of x.
45°
Answer:
X= 135°
Step-by-step explanation:
Let y be equal to x
45° + y = 180°
Y = 180 - 45
Y = 135°
Therefore y = X
5 8 10 11 12 15 19 20 20 24 25 what is the median
Answer:
15 is the median by using the formula
hope this helps you a lot