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serious [3.7K]
3 years ago
13

How many times smaller is 4 × 10-9 than 8 × 10-7? A. 200 B. 20 C. 20,000 D. 2,000

Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer:

17

Step-by-step explanation:

4×10-9= 4

8×10-7=21

21-4=17

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Which of the following is equivalent to<br> (16 3/2)^1/2 ?<br><br> O 6<br> O 8 <br> O 12<br> O 64
Galina-37 [17]

Step-by-step explanation:

=  { ({16}^{ \frac{3}{2} } )}^{ \frac{1}{2} }

=  { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} }

=  {2}^{4 \times  \frac{3}{2} \times  \frac{1}{2}  }

=  {2}^{ \frac{12}{4} }

=  {2}^{3}

= 2 \times 2 \times 2

= 8

The answer is B.

6 0
2 years ago
On the graph of f(x)=cos x and the interval [0,2π), for what value of x does f(x) achieve a minimum?
Mariulka [41]

Answer:

cos(\pi)=-1

Step-by-step explanation:

f(x)=cos (x)

State that the values where cos x is minimum:

x=\pi +2\pi n, n\in \mathbb{Z}

cos(0)=1\\

$cos\left(\frac{\pi}{4} \right)=\frac{\sqrt{2} }{2} $

$cos\left(\frac{\pi}{2} \right)=0 $

cos(\pi)=-1

$cos\left(\frac{3\pi}{2} \right)=0 $

7 0
2 years ago
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches
sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 32}{1.5}

X - 32 = -1.645*1.5

X = 29.5

Heights of 29.5 and below could be a problem.

4 0
2 years ago
(6+3)+21=6+(3+21) name each property of addition or multiplication
Anna007 [38]
(6 + 3) + 21 = 6 + (3 + 21)

It's an ASSOCIATIVE PROPERTY
(a + b) + c = a + (b + c)
7 0
3 years ago
Find the average of: 15, 8, -22, 24, -9, -18, 16
trasher [3.6K]
The average is 2. To find the average you add all the numbers then divide the sum by the total amount of numbers.
5 0
3 years ago
Read 2 more answers
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