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4 years ago

Find zeros of x^4-5x^2+4

Mathematics

1 answer:

OLEGan [10]4 years ago

4 0

When you multiply 2and 5

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Which year was the hottest? How do you know?

Kay [80]

You have to convert the fraction so the bottom number is 100
1900: 14/25=56/100
1910: 29/50=58/100
1920: 53/100
1930: 13/20= 65/100
1940: 3/5=60/100

Your answer would be 1930: 13/20= 60/100

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3 years ago

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AlladinOne [14]

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3 years ago

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likoan [24]

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3 years ago

A triangle has sides 45, 4x and 2x−4. What is the possible range of x?

Paul [167]

Answer:

8 1/6 < x < 20.5.

Step-by-step explanation:

Use the Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle is always greater that the third side.

So for triangle to be formed:

4x + 2x - 4 > 45

6x > 49

x > 8 1/6.

Also 2x - 4 + 45 > 4x

41 > 2x

2x < 41

x < 20.5.

8 0

4 years ago

The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:

solong [7]

Answer:

Explained below.

Step-by-step explanation:

(a)

The mean of the random variable X is:

$\mu=\sum {x\cdot p(x)}=5.3$

(b)

The standard deviation of the random variable X is:

$\sigma=\sqrt{\sum x^{2} p(x)-\mu^{2}}=\sqrt{28.9-(5.3)^{2}}=0.90$

(c)

Compute the probability that the average number of cherries in 36 cherry puffs will not be less than 5 as follows:

Since the sample size is large i.e. <em>n</em> > 30, the sampling distribution of sample mean will follow a normal distribution.

$P(\bar X\leq 5)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\leq \frac{5-5.3}{0.9/\sqrt{36}})\\\\=P(Z\leq -2)\\\\=1-P(Z$

(d)

Assume that the two groups are independent.

Then:

$E(D)=5.3-5.3=0\\$

$SD(D)=\sqrt{\frac{0.9^{2}}{30}+\frac{0.9^{2}}{36}}=0.2225$

Compute the probability that the difference in the average number of cherries will be more than 2 as follows:

$P(D>2)=P(\frac{D-E(D)}{SD(D)}>\frac{2-0}{0.2225})\\\\=P(Z>8.98)\\\\=0$

6 0

3 years ago