what parameter is typically the subject of investigation (i.e. what our research question is about) when we use the middle equation and the rightmost equation? group of answer choices population mean population standard deviation sample mean

Answer:

13

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given

\(\frac{2ab}{c}\) , substitute the given values into the expression

= \(\frac{2(-1)(-4)}{2}\)

= \(\frac{2(4)}{2}\)

= \(\frac{8}{2}\)

= 4

Answer:

Aiden should use the Standard unit of Mass

Kilogram.

Step-by-step explanation:

He can use other unit also like gram, pound, ounce, tone etc

To get the area of the figure, we will first get the area of the rectangle and add the area of the two triangles above it.

Area of rectangle = 7(4)

= 28

Area of each triangle = 1/2(2)(6-4)

= 1/2(2)(2)

= 1/2(4)

= 2

Adding the area of the rectangle and 2 triangles:

= 28 + 2 + 2

= 32

Thus, the total area of the figure is 32cm squared.

The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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The function f(x) = e^(3x) - e^x is increasing on the interval (-∞, +∞).

On the range (-∞, +∞), the function f(x) = e^(3x) - e^x increases. This is because the exponential function e^x is increasing for all x, so the difference of two increasing functions is also increasing.

A mathematical function called an exponential function is applied in numerous instances in the real world. It is mostly used to calculate investments, model populations, and do other tasks like determining exponential growth or decay. In an exponential growth model, the quantity increases initially extremely slowly and subsequently quickly. As time goes on, the rate of change quickens.

Correct Question :

On what interval is the function f (x) = e^(3x)−e^x increasing?

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Answer:

3600

Step-by-step explanation:

We multiple 40 x 90 which is equal to 4 x 10 x 9 x 10.

4 x 9 = 36 and 10 x 10 = 100, so 40 x 90 = 36 x 100 = 3600.

Answer:

The answer is 3,600

Step-by-step explanation:

40x90=3,600

Look at picture for step by step!

Hope this helps!

By: BrainlyAnime

Brainliest would be appreciated!

Answer:

the first graph is 3:2

the second is 3:1 or 2:1 i'm not 100% sure on that one

the third is 1:1

Step-by-step explanation: I took the test and got it right

I hope this helps:)

A ratio shows us the number of times a number contains another number. The ratio of DE to EF is 3:2. The ratio of DE to EF is 3:1.

A ratio shows us the number of times a number contains another number.

1.)

DE = √(6² + 3²)

     = √45

     = 3√5

EF = √(4² + 2²)

     = √20

     = 2√5

Ratio = 3√5 / 2√5 = 3/2

Hence, the ratio of DE to EF is 3:2.

2.)

PQ = √(6² + 3²)

     = √45

     = 3√5

QR = √(1² + 2²)

     = √5

Ratio = 3√5/√5 = 3:1

Hence, the ratio of DE to EF is 3:1.

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Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

Answer:

y=3x-2

Step-by-step explanation:

We know the equation ends in -2 because when x is zero, y is -2

To find the rest of the equation take any other point and take away the -2 from y

Then divide the y by the x to see how may times larger (or smaller) the y is then the x

(I chose -14)

-12÷-4=3

y=3x

the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table

Answer:

10

Step-by-step explanation:

To find the median in a set of data, organize the data from least to greatest.

Here, our data is the homework scores, those being:

10, 7, 8, 12, 9, 11, 13

Let's organize them in ascending order, like so:

7, 8, 9, 10, 11, 12, 13

The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.

We can find that the number in the middle is 10.

Thus, the median of the scores is 10.

The probability of selecting the word "States" is about 1.84%, the probability of selecting either "the" or "States" is about 6.92%, and the probability of selecting a word that is neither "the" nor "States" is about 93.08%.

(a) The probability of selecting the word "States" from the story is determined by dividing the number of occurrences of "States" by the total number of words in the story. In this case, the probability is 92/5000, which simplifies to 0.0184 or 1.84%. (b) To find the probability of selecting either "the" or "States," add the individual probabilities of each word. The probability of "the" is 254/5000 or 0.0508 (5.08%), and we already calculated the probability of "States" as 1.84%. The combined probability is 0.0508 + 0.0184 = 0.0692, or 6.92%. (c) To determine the probability of selecting a word that is neither "the" nor "States," subtract the combined probability of selecting either of those words from 1. The probability of selecting neither "the" nor "States" is 1 - 0.0692 = 0.9308, or 93.08%.

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Answer:

Here,

3

,

(

−

6

)

,

12

,

(

−

24

)

,

...

is the geometric sequn.

w

h

e

r

e

,

1

s

t

t

e

r

m

=

a

1

=

3

and

common ratio

r

=

−

6

3

=

12

−

6

=

−

24

12

=

−

2

and

S

9

=

?

⇒

n

=

9

We know that,

The sum of first n term of Geometric series is :

S

n

=

a

1

(

r

n

−

1

)

r

−

1

Putting ,

a

1

=

3

,

r

=

−

2

and

n

=

9

S

9

=

3

[

(

−

2

)

9

−

1

]

(

−

2

)

−

1

∴

S

9

=

3

[

−

512

−

1

]

−

3

⇒

S

9

=

3

(

−

513

)

−

3

⇒

S

9

=

513

Step-by-step explanation:

Answer:

Step-by-step explanation:

c.r. r=-6/3=-2

\(S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty\)

Answer:

14.8592

Step-by-step explanation:

Answer:

x = -4 & It's same side Interior

Step-by-step explanation:

If you have any questions about the way I solved it correctly, don't hesitate to ask me in the comments below ÷)

To make x the subject of the formula, we need to isolate it on one side of the equation. The answer is x = 5.

Given equation: Q/2 - 4 = 1/(2√2x) - 9 - 4

First, let's simplify the equation:

Q/2 - 4 = 1/(2√2x) - 13

To eliminate the fractions, we can multiply every term by the least common multiple (LCM) of the denominators, which is 2√2x. This will cancel out the denominators:

(2√2x) * (Q/2 - 4) = (2√2x) * (1/(2√2x) - 13)

Simplifying further:

Q√2x - 8√2x = 1 - 26√2x

Combining like terms:

(Q - 8)√2x = 1 - 26√2x

Now, let's isolate the terms involving x on one side:

(Q - 8)√2x + 26√2x = 1

Factoring out the common term:

(√2x)(Q - 8 + 26) = 1

Simplifying:

(√2x)(Q + 18) = 1

To solve for x, we need to isolate it by dividing both sides by (√2)(Q + 18):

x = 1/((√2)(Q + 18))

Given the information provided, the equation does not contain enough information to solve for x.

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G and H are isomorphic

To determine if the graphs G and H are isomorphic, we need to check if there exists a bijection f between their vertex sets V(G) and V(H) such that for every edge (vi, vj) in G, there is an edge (f(vi), f(vj)) in H, and vice versa.

Let's examine the vertices and edges of G and H to determine if such a bijection exists:

G:

Vertex set V(G) = {v1, v2, v3, v4, v5, v6, v7}

Edge set E(G) = {v1v2, v2v3, v3v4, v4v5, v1v1, v3v5, v6v1, v6v2, v6v4, v7v2, v7v3, v7v4}

H:

Vertex set V(H) = {u1, u2, u3, u4, u5, u6, u7}

Edge set E(H) = {u1u2, u1u5, u2u3, u2u4, u2u5, u2u7, u3u6, u3u7, u5u6, u1u6, u5u6, u6u7}

Comparing the vertex sets, we see that V(G) and V(H) have the same number of vertices (both have 7 vertices), which is a good start for potential isomorphism. Now, we need to find a bijection f between the vertex sets such that the edge connectivity is preserved.

Let's consider a possible bijection:

f(v1) = u1

f(v2) = u2

f(v3) = u3

f(v4) = u4

f(v5) = u5

f(v6) = u6

f(v7) = u7

Now, let's verify if this bijection preserves the edge connectivity between G and H:

The edge v1v2 in G corresponds to the edge u1u2 in H.

The edge v2v3 in G corresponds to the edge u2u3 in H.

The edge v3v4 in G corresponds to the edge u3u4 in H.

The edge v4v5 in G corresponds to the edge u4u5 in H.

The edge v1v1 in G corresponds to the edge u1u5 in H.

The edge v3v5 in G corresponds to the edge u2u4 in H.

The edge v6v1 in G corresponds to the edge u3u6 in H.

The edge v6v2 in G corresponds to the edge u3u7 in H.

The edge v6v4 in G corresponds to the edge u5u6 in H.

The edge v7v2 in G corresponds to the edge u1u6 in H.

The edge v7v3 in G corresponds to the edge u5u6 in H.

The edge v7v4 in G corresponds to the edge u6u7 in H.

By examining the edge connections, we can see that the bijection f preserves the connectivity between G and H. Therefore, G and H are isomorphic, and the bijection f: V(G) → V(H) is the one mentioned above.

Note: It's important to note that isomorphism between graphs is not unique, and other bijections may exist that also preserve the connectivity between G and H.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

The value of X that number of unit fails are 1/12.

According to the statement

we have a given that the there is a shipment of 60 highly sensitive accelerometer. And there is a testing of randomly 5 accelerometers.

And we have to find that the how much units that fails in the specifications.

So,

We find the value of X by use of Probability.

The probability that unit fails = number of units that chosen randomly / total units.

So, substitute the values in it then

The probability that unit fails = 5 / 60

The probability that unit fails = 1 / 12.

The probability that unit fails from 60 accelemoters  is 1 / 12.

So, The value of X that number of unit fails are 1/12.

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The largest value of T such that yc(t) = x²(t) is approximately 7.96 × 10⁻⁵ seconds.

To ensure that the discrete-time signal y[n] accurately represents the squared continuous-time signal yc(t), we need to ensure that the sampling process doesn't introduce any additional frequencies beyond the cutoff frequency of 2π(1000) radians per second. According to the Nyquist-Shannon sampling theorem, the sampling rate must be at least twice the maximum frequency present in the signal to avoid aliasing.

In this case, the maximum frequency present in the continuous-time signal yc(t) is 2π(1000) radians per second. To satisfy the Nyquist-Shannon sampling theorem, the sampling rate must be at least 2 × 2π(1000) = 4π(1000) radians per second.

The sampling period T is the reciprocal of the sampling rate. So, the largest value of T can be calculated as:

T = 1 / (4π(1000))

By simplifying the expression, we can approximate T as:

T ≈ 1 / (12566.37)

T ≈ 7.96 × 10⁻⁵ seconds

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Answer: Conclude that the solutions to the congruence 2x ≡ 7 (mod 17) are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

Step-by-step explanation:

Verify that 9 is an inverse of 2 modulo 17.

Rewrite the given equation as 2x ≡ 7 (mod 17).

Multiply both sides of the equation by 9 to get 18x ≡ 63 (mod 17).

Simplify the equation using the fact that 18 ≡ 1 (mod 17) to get x ≡ 9*7 (mod 17).

Evaluate 9*7 mod 17 to get x ≡ 12 (mod 17).

Conclude that the solutions to the congruence 2x ≡ 7 (mod 17) are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

Therefore, the correct order of the steps is:

Verify that 9 is an inverse of 2 modulo 17.

Rewrite the given equation as 2x ≡ 7 (mod 17).

Multiply both sides of the equation by 9 to get 18x ≡ 63 (mod 17).

Simplify the equation using the fact that 18 ≡ 1 (mod 17) to get x ≡ 9*7 (mod 17).

Evaluate 9*7 mod 17 to get x ≡ 12 (mod 17).

Conclude that the solutions to the congruence 2x ≡ 7 (mod 17) are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

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Answer:

A.

Step-by-step explanation:

Its a 180 degree angle or straight. The others have a corner.

The equation y′=ky represents exponential growth or decay, depending on the value of k. If y is 5 when t=3 and y′=2 at that time, then k can be calculated as k=ln(2/5)/(-3), which simplifies to k≈-0.4605.

The given equation, y′=ky, represents the rate of change of y with respect to time t, which is proportional to the current value of y, with the constant of proportionality being k. If y is 5 when t=3, then we know that y(t=3)=5.

We are also given that y′(t=3)=2, which represents the rate of change of y at that time. To find k, we can use the formula for exponential growth or decay, y(t)=y0e^(kt), where y0 is the initial value of y. Substituting y=5 and t=3, we get 5=y0e^(3k), and by differentiating both sides with respect to t, we get 2=3ky0e^(3k).

Dividing the second equation by the first, we get 2/5=3k, and solving for k, we get k=ln(2/5)/(-3), which is approximately equal to -0.4605.

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Answer:

Equation:

(5x)° + (x - 6)° = 90

OR

5x + x - 6 = 90

x = 16

m

Angle1 = 80°

mAngle2 = 10°

Step-by-step explanation:

Angle 1 + Angle 2 adds up to 90°. The tiny square in the corner of the image shows you that the whole thing is 90°.

So write the equation base on that.

5x + x - 6 = 90

Combine like terms(add the x's)

6x - 6 = 90

Add 6.

6x = 96

Divide by 6.

x = 16

Fill in 16 for x to find the measures of the angles.

Angle 1 = 5x

= 5(16)

= 80°

Angle 2

= x - 6

= 16 -6

= 10°

And 80°+ 10° is 90° so that's a good check. Hope this helps!

Answer:

B. card I'' increased by 1.2986 = 13 more than card H's

Step-by-step explanation:

Answer:

it is the first option as they are intense exercises

Answer:

Step-by-step explanation:

D

Answer:

98 yd²

Step-by-step explanation:

From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.

The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd

The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:

a² + a² = 14²

2a² = 196

a² = 98

a = √98 = 7√2

The length of the side of the triangle = a = 7√2 yd

The area of the rectangle = length × length = 7√2 × 7√2  = 98 yd²

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.