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Dima020 [189]
3 years ago
15

Please help me! I’ll mark you Brainliest!

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

1)m = 5 \\ 2)y = 26

Naily [24]3 years ago
6 0

Answer:

m = 5

y = 26

Step-by-step explanation:

You might be interested in
Simplify 22+[55-{72÷(7+5×2-11)+3}+2]​
Minchanka [31]

Answer:

<h2>64</h2>

Step-by-step explanation:

In the picture

4 0
3 years ago
In a study to compare two different corrosion inhibitors, specimens of stainless steel were immersed for four hours in a solutio
djverab [1.8K]

Answer:

(242-220) -1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}}= 10.862

(242-220) +1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}}= 33.138

And the 95% confidence interval for the difference in the means is given by: 10.862 \leq \mu_A -\mu_B \leq 33.138

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X_A = 242 sample mean for inhibitor A

s_A = 20 sample standard deviation for inhibitor A

n_A = 47 sample size for A

\bar X_B = 220 sample mean for inhibitor B

s_B = 31 sample standard deviation for inhibitor B

n_B = 42 sample size for A

Solution to the problem

For this case the confidence interval for the difference of means is given by:

(\bar X_A -\bar X_B) \pm t_{\alpha/2} \sqrt{\frac{s^2_A}{n_A} +\frac{s^2_B}{n_B}}

The degrees of freedom are given by:

df = n_A +n_B -2 = 47+42-2= 87

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,87)".And we see that t_{\alpha/2}=1.988

And replacing we got:

(242-220) -1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}}= 10.862

(242-220) +1.988 \sqrt{\frac{20^2}{47} +\frac{31^2}{42}}= 33.138

And the 95% confidence interval for the difference in the means is given by: 10.862 \leq \mu_A -\mu_B \leq 33.138

4 0
3 years ago
The length of a rectangle is twelve inches more than its width. The perimeter of the rectangle is 276 inches. What are the dimen
stepladder [879]

Answer: The dimensions of the rectangle are

Length = 75 and Width = 63

Step-by-step explanation: We would start with the information about the sides of the rectangle which states that the length is twelve inches more than it's width. In other words, if the width is represented by the letter w, then the length will be w + 12.

Also the perimeter of a rectangle is given as

2(L + W) where L is the length and W is the width of the rectangle

Therefore

Perimeter = 2( {w +12} + w)

276 = 2(2w + 12)

276 = 4w + 24

Subtract 24 from both sides of the equation

252 = 4w

Divide both sides of the equation by 4

63 = w

Therefore the width of the rectangle is 63 and the length is 75 (63 + 12).

L = 75 inches

W = 63 inches

3 0
3 years ago
Identify the type of function represented by f(x) = 7* (1/2)x^
mote1985 [20]

Answer: exponential decay (choice B)

The variable x in the exponent tells us that this is an exponential function. The fact that the base 1/2 = 0.5 is between 0 and 1 indicates that the value of y will decay or get smaller as x increases. Visually, it graphs out a curve that goes downhill as you read from left to right.

side note: The function f(x) = 7*(1/2)^x can be written as y = 7*(0.5)^x. It has a horizontal asymptote of y = 0 meaning that the curve will get closer and closer to the x axis, but never actually touch it.

8 0
4 years ago
Help me with this problem, please.
Novay_Z [31]

Answer:

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12 ⇒ C

Step-by-step explanation:

To solve this problem substitute m by 5x - 2 in each answer to find which one give you the equation of x

The given equation is (5x - 2)² + 35x - 14 = -12

Let us start with answer A

∵ m² - 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ - 7(5x - 2) = - 7(5x) + - 7(-2)

∴ - 7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² - 35x + 14 = -12 ⇒ Not equal to the given equation

Let us check answer B

∵ m² - 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² - 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ -7(5x - 2) = - 35x + 14

- Substitute - 35x + 14 in the equation

∴ (5x - 2)² - 35x + 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² - 35x + 14 = 2 ⇒ Not equal to the given equation

Now let us check answer C

∵ m² + 7m + 12 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) + 12 = 0

- Simplify the middle term

∵ 7(5x - 2) = 7(5x) + 7(-2)

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 + 12 = 0

- Subtract 12 from both sides

∴ (5x - 2)² + 35x - 14 = -12 ⇒ Equal to the given equation

Let us check answer D

∵ m² + 7m - 2 = 0

∵ m = 5x - 2

- Substitute m by 5x - 2

∴ (5x - 2)² + 7(5x - 2) - 2 = 0

- Simplify the middle term

∴ 7(5x - 2) = 35x - 14

- Substitute 35x - 14 in the equation

∴ (5x - 2)² + 35x - 14 - 2 = 0

- Add 2 to both sides

∴ (5x - 2)² + 35x - 14 = 2 ⇒ Not equal to the given equation

m² + 7m + 12 = 0 is equivalent to (5x - 2)² + 35x - 14 = -12

7 0
4 years ago
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