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Answer:

choice c

Step-by-step explanation:

C, because the equation of the line matches the equation in the question & the shaded region is under the line, representing that it is less that the equation.

The null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

According to the facts provided, the allegation is that the card was recognized much more frequently than randomness would predict.

The proportion of card selected will be:

= 1/4

= 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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Answer:

A = 7 x 9.3

A = 65.1 yd²

Step-by-step explanation:

(I am assuming that either 7 or 9.3 refers to the height. It is unclear.)

A = bh

Answer: -2 1/3

Step-by-step explanation:

Okay

The answer is (D). Testing the effectiveness of a mouthwash by allowing one group to use it and comparing the results with those of a group that doesn't use it.

In a probability sample also called "scientific" or "random" sample each member of the target population has a known and non-zero probability of inclusion in the sample.

Given four options out of which we are to select the correct one which is an experiment.

We can see that the options (A), (B) and (C) are not experiments, because their results are fixed from before. The results are not random in these three options.

On the other hand, the option (D) represents an experiment, because the outcome are random, not fixed.

Thus, (D) is the correct option.

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Answer:

Also known as a graphic, an image is a representation of the external form of a person or thing in art.

Step-by-step explanation:

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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Miguel takes 1.6 hours to cover the distance of 84.8 miles with the given speed of 53 miles per hour.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
In the question, we are given a speed = 53 miles per hour and the distance traveled with the given speed is 84.8 miles, we have to determine the time for the same distance.
We know that,
Speed = distance/time
Speed = 84.8 / 53
Speed = 1.6 hours

Thus, the required time evaluated is 1.6 hours.

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The solution to each part is given below.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following situations -

1. Three times one number plus four times another is 350.

2. Three-fourths of Ramón's estate equals $150,000.

3. Three times a number plus six units equals nine.

4. The son is 29 years younger than the father.

[A1] -

3x + 4y = 350

[A2] -

(3/4)x = 150000

x = (150000 x 4)/3

x = 50000 x 4

x = 200000

[A3] -

3x + 6 = 9

3x = 3

x = 1

[A4] -

y(s) = y(f) - 29

Therefore, the solution to each part is given above.

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[Question is english is given as follows -

Answers of these 4 please

1. Three times one number plus four times another is 350.

2. Three-fourths of Ramón's estate equals $150,000.

3. Three times a number plus six units equals nine.

4. The son is 29 years younger than the father.]

Answer:

5.26049171503e+40

Step-by-step explanation:

have a nice day :)  stay hydrated!

‧₊˚ ꒰ mei ꒱ ‧₊˚

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

the question asks us to rationalise the given expression !

so let's start ~

\( \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \\ \\ \implies \: \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \: \times \: \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} } = \frac{(6 - 4 \sqrt{3}) {}^{2} }{6 {}^{2} - 4 \sqrt{3} {}^{2} } \\ \\ \implies \frac{\: 6 {}^{2} + 4 \sqrt{3} {}^{2} - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\ \\ \implies \: \frac{36 + 48 - 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{84 + 48 \sqrt{3} }{ - 12} \\ \\ \implies \: \frac{ \cancel{- 12}(7 - 4 \sqrt{3} )}{ \cancel{ - 12} } \\ \\ \implies \: 7 - 4 \sqrt{3} \)

hope helpful :D

Answer:

-7+4√3.

Step-by-step explanation:

6-4√3 / 6+4√3     Multiply top and bottom by  6-4√3:-

=  (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)

= (36-24√3- 24√3+48) / (36-48)

= (36-48√3+48) / (-12)

= -3 +4√3 - 4

=  -7 + 4√3.

It is difficult to estimate precisely the partial effect of x1, holding x2 constant if x1 and x2 are highly correlated. It is because the relationship between x1 and y cannot be fully disentangled from the relationship between x2 and y.

When x1 and x2 are highly correlated, it becomes difficult to distinguish their individual contributions to the outcome variable. This is because the effect of x1 is confounded by the effect of x2, making it harder to determine the true effect of x1 alone. As a result, the estimates of the partial effect of x1 become less reliable and more uncertain, making it difficult to draw accurate conclusions about the relationship between x1 and y. Therefore, it is important to consider the correlation between x1 and x2 when estimating the partial effect of x1, holding x2 constant, in order to obtain more accurate results.

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To find fy(y), we need to differentiate the function f(x, y) = 10xy^2 with respect to y while treating x as a constant. The correct option is b. 40y^2.

Applying the power rule of differentiation, we differentiate each term with respect to y:

df/dy = d(10xy^2)/dy = 0 + 20xy(d(y^2))/dy

Differentiating y^2 with respect to y using the power rule again, we get:

d(y^2)/dy = 2y

Substituting this back into the previous equation:

df/dy = 20xy(2y) = 40xy^2

Therefore, fy(y) = 40xy^2.

Now we can simplify the expression by substituting the limits of integration:

fy(y) = 40xy^2, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1.

Since the limits of integration are constants, we can treat them as such:

fy(y) = 40(1)(y^2) = 40y^2.

So, the correct option is b. 40y^2.

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Step-by-step explanation:

g(6) = 3 - 5(6) = 3 - 30 = -27

We know the value of function g at 1 single point, g(6) = -27.

That is not enough to know what function g is.

Since the problem states that g(6) = 3 - 5(6), the problem is trying to guide you into answering that g(x) = 3 - 5x, but this is simply an assumption.

Answer:

I think it should be the second one

Answer: \(x\geq 8\)

Step-by-step explanation:

For questions like this all that you need to do is flip the inequality. So if you flip \(8\leq x\) you get \(x\geq 8\) which is your answer.

Answer:

Height = 9 cm

Volume = 243 cm³

Surface area = 270 cm²

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.

The height of the prism is also called the length, and is the measure of the length that connects the two bases.  
So for this prism the height is 9 cm.

Area of the base = (6 × 3) + (3 × 3)

                            = 18 + 9

                            = 27 cm²

Volume of a prism = area of the base × height

                               = 27 × 9

                               = 243 cm³

Total surface area = (2 × base area) + side areas

                              = (2 × 27) + 2(6 × 9) + 4(3 × 9)

                              = 54 + 108 + 108

                              = 270 cm²

Distribute

50+30(2x+10)

50+30×2x+30×10

50+60×+300

add the number

50+300+60×

350+60x

60x+350

common factors

10(6x+35)

Answer:

5:25

Step-by-step explanation:

Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.

6:09 is the same as 5:69.

6:09 = 5:69

Now subtract 44 minutes from 69 minutes.

5:69 = 0:44 = 5:25

Answer: 5:25

Answer:

5:25

Step-by-step explanation:

Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.

6:09 is the same as 5:69.

6:09 = 5:69

Now subtract 44 minutes from 69 minutes.

5:69 = 0:44 = 5:25

Answer: 5:25

The probability that the fan will not be able to watch all 8 new episodes in one sitting can be determined by calculating the probability that the mean duration of the new episodes is greater than 45 minutes.

Using the Central Limit Theorem, we know that the distribution of the sample means will be approximately normal, regardless of the distribution of the individual episode durations, as long as the sample size is sufficiently large.

In this case, the mean episode duration is normally distributed with a mean of 47 minutes and a standard deviation of 6 minutes. Since we are interested in the mean duration of 8 new episodes, we can use the properties of the normal distribution to calculate the probability.

First, we need to find the standard deviation of the mean duration of the 8 episodes, also known as the standard error of the mean (SE). The SE can be calculated by dividing the standard deviation of the individual episodes by the square root of the sample size:

SE = σ / sqrt(n) = 6 / sqrt(8) ≈ 2.1213

Next, we can use the properties of the normal distribution to calculate the probability that the mean duration is greater than 45 minutes. We standardize the value of 45 minutes using the mean and SE:

Z = (45 - 47) / 2.1213 ≈ -0.9428

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the Z-score of -0.9428. This probability represents the likelihood that the mean duration of the 8 episodes is greater than 45 minutes.

Therefore, the probability that the fan will not be able to watch all 8 new episodes in one sitting is approximately the probability corresponding to the Z-score of -0.9428, rounded to four decimal places.

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Answer:

0.02

Step-by-step explanation:

7⁴ / 7⁶ = 7⁴⁻⁶ = 7⁻² = 1/7² = 1/49 ≈ 0.02

Answer:

.02

Step-by-step explanation:

7^4 ÷ 7^6

We know that a^b ÷ a^c = a^ ( b-c)

7^4 ÷ 7^6  

7^(4-6)

7^(-2)

We know that a^ -b = 1/a ^b

1 / 7^2

1/49

.020408163

Rounding to 2 decimal places

.02

Answer:

n=10.

Step-by-step explanation:

\(\frac{45}{n^{2}-3n-4 }\) - \(\frac{3}{n-4}\) = \(\frac{2}{n+1 }\)

\(\frac{45}{n^{2}-3n-4 }\) -  \(\frac{3(n+1)}{(n+1)(n-4)}\) = \(\frac{2(n-4)}{(n+1)(n-4) }\)

\(\frac{45}{n^{2}-3n-4 }\) -  \(\frac{3n+3}{n^{2} -3x-4}\) = \(\frac{2n-8}{n^{2} -3x-4 }\)

45-3n-3=2n-8

45-3+8=5n

n=50/5=10

Answer:

Step-by-step explanation:

4 7/16

Answer:

4 7/16

Step-by-step explanation:

hope it helps :)

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

x = 66°

Step-by-step explanation:

There is 3 measurements given which means it's a triangle. A triangle's total measured degree is 180°.

So subtract the given angle measurements with 180.

180 - 79 - 35 = 66

x = 66°

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

Answer:

The Percent of Blue sqaures out of the total for Group A is 75%.

The Percent of Blue sqaures out of the total for Group B is 60%.

The Percent of Blue sqaures out of the total for Group C is 66.66666%.

Answer:

Step-by-step explanation:

Hope it helps!!!