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3 years ago

Help me please!!! I really need it!

Mathematics

1 answer:

Sati [7]3 years ago

8 0

<u>Answer:</u> The value of x can be either 5 or 10.

<u>Step-by-step explanation:</u>

We are given:

Total profit, P = $5600

The given equation follows:

⇒ P = 600 + 1500x - 100x²

Putting value of P in above equation, we get:

⇒ -100x² + 1500x + 600 = 5600

⇒ -100x² + 1500x - 5000 = 0

⇒ 100x² - 1500x + 5000 = 0

Solving this equation by middle term split, we get:

⇒ 100(x² - 15x + 50) = 0

⇒ (x² - 10x - 5x + 50) = 0

⇒ x(x - 10) - 5(x -10) = 0

⇒ (x - 10)(x - 5) = 0

⇒ x = 10, 5

Hence, the value of x can be either 5 or 10.

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Dairy cows at large commercial farms often receive

IrinaK [193]

Answer:

a) The 99% confidence interval for the true mean milk production is (26.35 kg/d, 29.65 kg/d).

b) They would need to use a confidence level of 94.52%.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So

$M = 2.575*\frac{2.25}{\sqrt{12}} = 1.65$

The lower end of the interval is the mean subtracted by M. So it is 28-1.65 = 26.35 kg/d

The upper end of the interval is the mean added to M. So it is 28 + 1.65 = 29.65 kg/d.

The 99% confidence interval for the true mean milk production is (26.35 kg/d, 29.65 kg/d).

(b) If the farms want the confidence interval to be no wider than 1.25 kg/d, what level of confidence would they need to use?

Now we want to find the value of z when M = 1.25. So:

$1.25 = z*\frac{2.25}{\sqrt{12}}$

$0.6495z = 1.25$

$z = 1.92$ , that has a pvalue of 0.9726.

So the confidence level should be 1 - 2*(1-0.9726) = 0.9452

They would need to use a confidence level of 94.52%.

3 0

3 years ago

& A bowl made in the shape of a hemisphere has diameter of 12 centimeters. When the bowl is

son4ous [18]

Answer:

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g

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3 years ago

There are 375 books sold at Sid's Bookstore. The table below summarizes these books by genre. This info is presented in circle g

loris [4]

When you plot the data in a pie graph, it looks like that shown in the picture. A circle is formed when you draw a point and connect it from end to end forming a complete revolution. One revolution equals 360°. Therefore, each piece of pie for each type of book is a fraction of one revolution. The fraction can be determined by dividing the number for a specific type of book to the total number of books. Specifically, the fraction for the Self Help slice would be 90/375 which is equal to 0.24 or 24%. Then, 24% of 360 is 86.4. Therefore, the central angle formed by the Self Help slice is 86.4°.

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3 years ago

GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!

Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

The first equation is of the line.
The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

$x + 2y = 6$

$2y = 6 - x$

$y = -0.5x + 2$

Thus it is a decreasing line, which removes options J.

We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

As for the second equation, the normalized equation is:

$3x^2 + 3y^2 = 12$

$3(x^2 + y^2) = 12$

$x^2 + y^2 = 4$

Thus, a circle centered at the origin and with radius 2.
Now, we have to check if the line $x + 2y - 6 = 0$ , with coefficients $a = 1, b = 2, c = -6$ , intersects the circle, of centre $x = 0, y = 0$
First, we find the following distance:

$d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}$

Considering the coefficients of the line and the center of the circle.

$d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1$

This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

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3 years ago

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sveta [45]

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4 years ago