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zlopas [31]
2 years ago
13

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016

Mathematics
1 answer:
ella [17]2 years ago
8 0

<em><u>The number 0.000000016 is expressed in scientific notation is:</u></em>

1.6 \times 10^{-8}

<em><u>Solution:</u></em>

Given that,

Charlie learns that a computer processor can perform one command in approximately 0.000000016  nanoseconds

We have to express in scientific notation

<em><u>Step 1:</u></em>

Given number is:

0.000000016

Move the decimal point in 0.000000016 until there is only one non-zero digit to the left of the decimal point

Here,

Move the decimal 8 places to the right to get 1.6

We have moved the decimal to left, therefore, exponent is negative

1.6 \times 10^{-8}

Thus the given number is expressed in scientific notation

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What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share
hichkok12 [17]

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

BD = 4.99 units

6 0
2 years ago
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
2 years ago
What is the word form of 34/100
valkas [14]
34/100
= 0.34

3 tenths, 4 hundreths
3 0
2 years ago
Read 2 more answers
The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,
ICE Princess25 [194]

Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n  

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n)  < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

= - 1.96 * σ/√n < (z-µ)/(σ/√n)*  σ/√n  < 1.96 * σ/√n  [ in two tail Z test the value of Z_0.05 is 1.96 ]

= - 1.96 * 255/√50 < Z-µ <  1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

7 0
2 years ago
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles
faltersainse [42]

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

<em>Convert feet to miles</em>

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

8 0
2 years ago
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