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Harrizon [31]
4 years ago
11

X^4 + y^4How do you factor this? I have to factor it using x+y and xy.

Mathematics
1 answer:
Alecsey [184]4 years ago
5 0

Answer:

I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)

ps. check if you have the question correct

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405.5 divided by 12.5. Step by step
lyudmila [28]

Answer:

= 32.440

Step-by-step explanation:

Change the divisor 12.5 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

4055 ÷ 125 = 32.440

and therefore:

405.5 ÷ 12.5 = 32.440

Both calculated to 3 decimal places.

   

3 0
3 years ago
Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Madison conducted a study of d
Ghella [55]

Answer:

The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

Step-by-step explanation:

In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value (\hat y) is known as the residual (<em>e</em>).

e=y-\hat y

The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).

The general form of a least square regression line is:

\hat y=\alpha +\beta x

The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:

\hat y=0.8790+10.6471 x

Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:

\hat y=0.8790+10.6471 x

  =0.8790+(10.6471\times 0.11)\\=0.8790+1.171181\\=2.050181\\\approx 2.05

The predicted value of <em>y</em> is, \hat y=2.05.

The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.

Compute the residual age of this lion as follows:

e=y-\hat y

  =1.90-2.05\\=-0.15

Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

4 0
3 years ago
Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

Z = \frac{0.03}{\sqrt{0.00030729833}}

Z = \frac{0.03}{0.01752992669}

Z = 1.71

So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

P(p>0.43) = 0.0436

5 0
3 years ago
What is the value of an AP: 50+45+40
Vikentia [17]

Answer:

135 is correct answer of this question

8 0
2 years ago
Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in
gavmur [86]

Answer:

Plane 1:  rate = 245 mph

Plane 2:  rate = 98 mph

Step-by-step explanation:

Plane 2:  Let r = rate

                    d = 5r

Plane 1:    2.5r = rate

                    d = 5(2.5r)

5(2.5r) - 5r = 735

12.5r - 5r = 735

7.5r = 735

r = 98

4 0
3 years ago
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