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2 years ago

Help please ! 11x+4<15 or 12x+7>-25

Mathematics

1 answer:

barxatty [35]2 years ago

5 0

Answer:

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

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A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side. Show and e

katrin [286]

Answer:

The third side must be smaller than 20 inches and greater than 4 inches

$4$

Step-by-step explanation:

Let a, b and c be the lengths of triangle's sides. Then

$a+b>c\\ \\a+c>b\\ \\b+c>a$

Use this rule in your case. So, if a=12 and b=8, then

$12+8>c\\ \\12+c>8\\ \\8+c>12$

Hence, you get

$c-4\\ \\c>4$

From these inequalities, you can state that

$4$

So, c must be smaller than 20 inches and greater than 4 inches.

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3 years ago

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Zepler [3.9K]

Answer:

the first selection is so shaded

Step-by-step explanation:

Each strip is divided into 10 parts. 1/5 will be represented by 2 of those parts, so 2/5 will be represented by 4 of the 10 parts. The 3/10 used on the other gift will be represented by 3 additional parts. So, a total of 7 of the 10 parts of the strip need to be colored to represent the ribbon used.

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2 years ago

Multiplicacion 5(3x-2)

Lena [83]

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Step-by-step explanation: ?

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1 year ago

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Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

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2 years ago

Help pleaseeeeeeee.

Dmitry_Shevchenko [17]

Answer: 11x

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Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

7 0

3 years ago