The daily yield for a chemical plant has averaged 880 tonnes for the last several years. The quality control manager would like to know whether this average has changed in recent months. She randomly selects 50 days from their database, and computes the average and standard deviation for 50 yields. The average yield for the 50 yields is 871 tonnes, and standard deviation is 21 tonnes. The manager performs a hypothesis test at the 5% significance level, with the test statements as follows: H0​:μ=880 H1​:μ=880

Answer:

102

Step-by-step explanation:

Exterior angle is sum of interior angles.

∠1 = 51 + 51

∠1 = 102

Answer: m∠1 = 102°

Step-by-step explanation:

The inside angles of a triangle always add up to 180°

so get the 3rd inside angle with

\(180-51-51=78\)

And we know that a straight line in 180° on each side

So we take 180° and subtract 78° to get our answer 102°

Answer:

Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value

Step-by-step explanation:

Please brainiest

Answer:

Linear means something related to a line that makes a straight line.A non-linear equation is such which does not form a straight line aka makes a curved or zigzag line.

\((n-10)(4n-10) -3\\\\=4n^2 -10n-40n+100-3\\\\=4n^2-50n+97\\\\=4n^2 -50n+96 +1\\\\=2(2n^2-25n+48)+1\\\\2(2n^2 -25n+48)~ \text{is even, so}~ 2(2n^2 -25n+48) +1~ \text{is odd.}\)

\(\text{Hence,}~ (n - 10)(4n - 10) - 3 ~ \text{is always an odd number for}~ n\in \mathbb{W}.\)

Answer:

25 kg.

Step-by-step explanation:

the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.

Answer:

7 gallons

Step-by-step explanation:

38*5= 190

190/29

6.551

= 7

Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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Answer:

\(-4\ \text{feet/hour}\)

Step-by-step explanation:

Level of water at 4 PM is 10 feet.

Level of water at 8 PM is 2 feet.

Time duration in which water level is measured is \(8-4=4\ \text{hours}\)

The change of the level of water in the given time duration is \(2-10=-8\ \text{feet}\)

The rate of change would be

\(R=\dfrac{-8}{4}=-4\ \text{feet/hour}\)

The constant rate of change of the water is \(-4\ \text{feet/hour}\).

The minus sign indicates that the water level is reducing.

Answer:

Thank you I needed this today *smiles*

Step-by-step explanation:

Answer:

Train B is traveling faster.

Step-by-step explanation:

To find which train is faster, divide the distance the train traveled by the elapsed time for each train:

Train A:

Distance traveled is 12.5 meters.

Elapsed time is 1 second.

12.5 ÷ 1 = 12.5

Train A travels 12.5 meters per second.

Train B:

Distance traveled is 100 meters.

Elapsed time is 4 seconds.

100 ÷ 4 = 25

Train B travels 25 meters per second.

25 is greater than 12.5, so train B travels faster.

After using the function equation the answer is f(-2) = 10

What do you mean by function?

Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

In mathematics, a function from a set X to a set Y assigns exactly one element of Y to each element of X.  The set X is called the domain of the function and the set Y is called the codomain of the function

Given function:

f(x) = \(5x^2-10\)

at x = -2

Substitute the value of x in the above function.

f(-2) = \(5(-2)^2-10=5(4) - 10 = 20 - 10 = 10\)

Therefore, f(-2) = 10

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Answer:

The answer is c

Step-by-step explanation:

Answer:i think its 115 degres

Step-by-step explanation:

Step-by-step explanation:

ES6 has a new Set data structure for storing sets of unique objects. However it is based on object references as opposed to value comparisons. As far as I can tell this makes it impossible to have a set of pairs of numbers without stringifying.

For example, typing in Chrome's console (needs Chrome 38+):

> var s = new Set(); < undefined > s.add([2, 3]); < Set {[2, 3]} > s.has([2, 3]) < false <--- was hoping for 'true'

This appears to be by design: since I passed a different array of [2, 3] to has(), it returns false, because although the contents is the same it only looks at object references, and I allocated a new and different array to pass to has(). I would need to store a reference to the original array I passed to add() to check with has(), but this is not always possible. For example if the number pairs represent co-ordinates, I might need to check if the set has [obj.x, obj.y], but this will always return false since it allocates a new array.

The workaround is to stringify the arrays and key on strings like "2, 3" instead. However in something performance-sensitive like a game engine, it is unfortunate if every set access needs to make a string allocation and convert and concatenate number strings.

Does ES6 provide any feature to solve this problem without stringifying, or is there any feature on the horizon with ES7 that could help as well?

javascriptperformancedata-structuressetecmascript-6

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asked Sep 21 '14 at 13:06



AshleysBrain

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3 Answers

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As you've noted [2, 3] === [2, 3] is false, meaning you can't use Set like this; however, is Set really the best option for you?

You may find that using a two-level data structure like this will be better for you

var o = {}; function add(o, x, y) { if (!o[x]) o[x] = {}; o[x][y] = true; } function has(o, x, y) { return !!(o[x] && o[x][y]); } function del(o, x, y) { if (!o[x]) return; delete o[x][y]; // maybe delete `o[x]` if keys.length === 0

The decimal that you can multiply to find the tax would be (x/12.5).

A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Given is you pay a sales tax of 8%. That means for every $100 you spend, the tax is $8.

Assume the original cost to be ${x}. The decimal value would be -

8% of {x}

8x/100

2x/25

x/12.5

Therefore, the decimal that you can multiply to find the tax would be (x/12.5).

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When x=4, y=2∛2; when x=5, y=∛50; and when x=4 again, y=2∛2. To evaluate y^3=2x^2 at x=4,5,4, we first need to find the corresponding values of y. To evaluate the equation y^3 = 2x^2 for the given values of x (4, 5, and 4), we need to first solve for y in terms of x, and then substitute the x values.

1. Solve for y:

y^3 = 2x^2

y = (2x^2)^(1/3)

2. Substitute the values of x:

For x = 4:

y = (2(4)^2)^(1/3)

y ≈ 3.1072

For x = 5:

y = (2(5)^2)^(1/3)

y ≈ 3.4760

For x = 4 (repeated):

y ≈ 3.1072

So, the corresponding y values are approximately 3.1072, 3.4760, and 3.1072.

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Answer:

8/12, 11/16, 3/4, 4/8

Step-by-step explanation:

hope this helps

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

Konnichiwa

Step-by-step explanation:

Answer:

the answer is 7,184.47

Step-by-step explanation:

The equation of the tangent would be y = -4x/3 - 25/3 and the equation of the normal would be y = 3x/4.

What is a parabola?

A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.

The given equation is x² + y² = 25 ; (4, 3)

Now when we put x = 4 and y = 3

then LHS = RHS.

Now find the slope:

      2x + yy' = 0

       ⇒ y' = -x/y

Now at (4, 3) slope would be y' = -4/3.

The equation of the tangent would be

      y - y1 = m(x - x1)

      y - 3 = (-4/3)(x-4)

     3y - 9 = -4x + 16

     4x + 3y = 25

     y = -4x/3 - 25/3

Now equation of the normal is:

  y - y1 = (-1/m)(x - x1)

  y - 3 = 3/4(x - 4)

  y = 3x/4

Hence, the equation of the tangent would be y = -4x/3 - 25/3 and the equation of the normal would be y = 3x/4.

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The movement of the particle on the circle is its displacement.

The value of dy/dt at this time is -9/2.

Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.

The equation of the circle is given as:

\(\rm x^2 + y^2=25\)

Differentiate with respect to time

\(\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\)

Substitute all the values in the equation

\(\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\ 36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}\)

Hence, the value of dy/dt at this time is -9/2.

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The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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Answer: x =-9/5

Step-by-step explanation:

Answer:

the total number of calories in the jar of peanut butter, x, and the total number of calories in the jar of jelly, y

The difference in the total number of calories in a jar of peanut butter and a jar of jelly is 3,545

Now we use total calories ,which was 2/23 of the jar of peanut butter and 2/33 of the jar of jelly

x minus y = 3545 and StartFraction 2 Over 23 EndFraction x + StartFraction 2 Over 33 EndFraction y = 430

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think it is I'm very sorry if it's wrong :)

The slower one walks at a rate of 2.2 mi/h, and the faster one walks at a rate of 3.3 mi/h

The given information is the following:

If we define x as the rate of the slower one and y as the rate of the faster one, then we can write the equation:

(x + y)*6h = 33mi

And now we can write:

y = x + 1.1mi/h

Replacing that we get the linear equation:

(x + x + 1.1mi/h)*6h = 33mi

(2x + 1.1mi/h)*6h = 33mi

(2x + 1.1 mi/h) = 33mi/6h = 5.5mi/h

2x = 5.5mi/h - 1.1mi/h = 4.4mi/h

x = (4.4mi/h)/2 = 2.2 mi/h

The slower one walks at a rate of 2.2 mi/h, and the faster one walks at a rate of 3.3 mi/h.

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you look too cute in the dp i like your face its very cute

Answer:

Slope of the perpendicular line = 4/7

So , general equation of line is

y = (4/7) x +c

As this line passes through (5,-2) ,it also satisfy the equation

\( - 2 = ( \frac{ 4}{7} ) \times 5 + c\)

\(c = -2 - \frac{20}{7} \)

\(c = \frac{-34}{7} \)

Now the required equation :-

\(y = ( \frac{ 4}{7} )x + \frac{-34}{7} \)

\(4x - 7y = 34\)

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Answer:

125 km per hour

Step-by-step explanation:

divide 500 by 4 to find the averge

Answer:

\( \sf \: 125km/hr\)

Step-by-step explanation:

Average speed = \( \sf \: \frac{distance \: travelled}{time \: taken} \)

Ave. speed = \( \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} \)

Hence, the average spred is 125km/h respectively.

Answer:-11/30

Step-by-step explanation:i think not 100% sure

Answer:

-24/35

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction.

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

12/15 ÷ 7/6 = 12/15 x 6/7

The Greatest Common Factor (GCF) of 72 and 105 is 3. The result can be simplified by dividing both the numerator and denominator by 3.

Answer:

Answer is D. Just took the test

Step-by-step explanation:

Answer:

The Answer is D) the fourth graph

Step-by-step explanation:

Ain't doing no steps

In the given cube-shaped cake, the value of c + s = 32/5.

In the given figure of the cube-shaped cake, let [RNQ] be the area of the triangle RNQ. The volume of the corresponding piece c = 2[RNQ]. The cake piece has icing on the top and on the vertical side that contains the edge QR. Hence the total area with icing is [RNQ] + 2^2 = [RNQ] + 4. Hence, c+s = 3[RNQ] + 4.

In order to determine [RNQ], introduce a coordinate system. Let Q be the origin. As the length of each edge is 2. Hence,

Q = (0,0)

P = (2, 0)

R = (0, 2)

In the coordinate system, as M is the midpoint of PS, M = (2, 1). The equation of the line QM is:

m = (1- 0)/(2 – 0) = ½

y – 0 = ½(x – 0)

2y – x = 0

As the line RN is orthogonal to QM, it has an equation is y + 2x + q = 0. As the point R lies on the line RN,

2 + 2(0) + q = 0

q = -2

Hence, RN is y + 2x -2 = 0

Substituting x = 2y into the line RN,

y + 2(2y) -2 = 0

5y = 2

y = 2/5

x = 2(2/5) = 4/5

In the triangle RNQ, x is the height from N onto RQ, the area [RNQ] = (x*RQ)/2 = 2x/2 = x = 4/5.

Hence, 3[RNQ] + 4 = 3(4/5) + 4 = 32/5.

Note: The question is incomplete. The complete question probably is: A cubical cake with edge length 2 inches is iced on the sides and the top. It is cut vertically into three pieces as shown in this top view, where M is the midpoint of a top edge. The piece whose top is triangle B contains c cubic inches of cake and s square inches of icing. What is c+s?

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