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Papessa [141]
4 years ago
8

(3x3 + 11x2 + 4x + 1)/ (x2 + x)

Mathematics
1 answer:
lions [1.4K]4 years ago
6 0
If those are exponents, then...

3x^3 + 11x^2 + 4x + 1
-----------------------------               Cancel out the 11x^2 with the x^2
          x^2 + x

3x^3 + 10x^2 + 4x +1
-----------------------------               Cancel out the x with the 4x
                 x

3x^3 + 10x^2 + 3x +1
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Tamara is creating a model of a rectangle. She has 26 inches of yellow ribbon to use for the border of the rectangle. She wants
Alexus [3.1K]
26=w(3+l)

hope this helps! :P
3 0
3 years ago
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetr
Greeley [361]

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±t_{n_1+n_2-2;1-\alpha/2}*Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20

[(2.90-2.29)±2.715*0.20\sqrt{\frac{1}{20} +\frac{1}{19} }]

[0.436; 0.784]

I hope this helps!

5 0
3 years ago
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a s
katovenus [111]

We are given dimensions of rectangular bedroom = length of 5m and width 3 m.

Also scale drawing of factor 1/50 of the original dimension.

In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.

Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and

Let us convert it in centimeter now.

1 m = 100 cm

1/10 m = 100 * 1/10 = 10cm.

Width of the scale drawing = 3 * 1/50 = 3/50 m.

100*3/50 = 6 cm.

Therefore, the dimensions of a scale drawing of Elenas bedroom is length 10cm and width 6cm.

7 0
3 years ago
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Given the center (-11,-3) and r = 4, write an equation for the circle in standard form
grandymaker [24]

this is it :

{(x - 11)}^{2}  +  {(y - 3)}^{2}  = 16

7 0
4 years ago
20 ounces to 25 ounces find the percent of change
Gemiola [76]
20% 25-20 equals 5. 5 divided by 20 equals .2 or 20%
7 0
3 years ago
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