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Romashka-Z-Leto [24]
3 years ago
13

The expression factors as: (n4 + 3)(n4 + 3) (n4 - 3)(n4 + 3) (n4 – 3)(n4 – 3)

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

(n 4)

Step-by-step explanation:

Viktor [21]3 years ago
3 0

Answer:

B - the second one (on EDGE)

Step-by-step  :

You might be interested in
14. A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the c
DedPeter [7]

Answer:

5(√3 - 1)

Step-by-step explanation:

Edge of cube = 10

If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.

Diameter = 10

We will then find the diagonal of the cube.

Diagonal = √10^2 + 10^2 + 10^2

= √300

= 10√3

Let X be the distance between the vertex of the cube and the surface of the sphere

X = (diagonal - diameter) /2

X = (10√3 - 10)/2

X = (10(√3 - 1))/2

X = 5(√3 - 1)

8 0
3 years ago
The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate
Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

The margin of error is:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

Given:

\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645 *Use a standard normal table.

Compute the sample size required as follows:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910

Thus, the sample size required is 910.

5 0
3 years ago
If 7x=3y and 5y=7z then X/Z?
Aleks04 [339]

Answer:

3/5=x/z

Step-by-step explanation:

7x=3y

7(3)=3(7)

21=21

5y=7z

5(7)=7z (plug in the seven from the first step)

35=7z

then divide both sides by 7

5=z

therefore, X/Z=3/5

7 0
4 years ago
What is the range of this function?
Rzqust [24]

Greetings.

The range is the set of y-value.

The range starts from the minimum point to maximum point.

Our minimum point starts at 0 and maximum point starts less than infinity.

Therefore the range is 0<=y<+inf

However, we do not often write that, although it is right.

Therefore we write as y≥0

Thus, the answer is B choice.

5 0
3 years ago
Is this right. If it is thanks
Natali [406]

Answer:

yes

Step-by-step explanation:

yes

4 0
3 years ago
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