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lana66690 [7]
2 years ago
9

Explain why you might want to write very large and very small numbers like the ones in the example problem in scientific notatio

n.​
Mathematics
1 answer:
slava [35]2 years ago
5 0

Answer:

Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x10^{11}. This is easier to write and understand. This is why the scientific notation is used over standard.

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The distance between two stations is 540 km. A train takes 3 hours to
mihalych1998 [28]
180 km/hr
50 m/s
Here’s the work

8 0
2 years ago
If x = -3 and y = 4x - 1, then y equals what number
Masteriza [31]

\huge\text{Hey there!}

\large\textsf{y = 4x - 1}

\large\text{If x= -3, then substitute it into the given equation}

\large\textsf{y = 4(-3) - 1}

\large\textsf{4(-3) = \boxed{\bf -12}}

\large\textsf{y = -12 - 1}

\large\textsf{-12 - 1 = y}

\large\textsf{-12 - 1 = \boxed{\bf -13}}

\boxed{\boxed{\large\textsf{Answer: \huge  \bf y = -13}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

5 0
3 years ago
Read 2 more answers
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 7 parts

            r = number of success = fewer than 2

           p = probability of success which in our question is % of defective

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

    P(X < 2) = P(X = 0) + P(X = 1)

                  =  \binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}

                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

                  =  <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0
2 years ago
A water balloon is thrown out of a window 96 feet above the ground. The balloon is traveling downward at 16 feet per second init
gulaghasi [49]
It hits the ground at h=0

0=-16t^2-16t+96
undistribute -16
0=-16(t^2+t-6)
factor
0=-16(t-2)(t+3)
set to zero
0=t-2
2=t

t+3=0
t=-3, nope, we can't have negative time

at t=2, or 2 seconds
7 0
3 years ago
Read 2 more answers
Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in inte
photoshop1234 [79]

we know that


The simple interest formula is equal to


I=Prt


where


P is the Principal amount of money to be invested


I is the amount of money in interest

r is the rate of interest  

t is Number of Time Periods


in this problem we have


t=2\ years\\ I=\$14.65\\r=0.025


substitute in the formula above  and solve for P

14.65=P(0.025)(2)

P=14.65/[(0.025)(2)]

P=\$293


therefore

<u>the answer is</u>

\$293




5 0
3 years ago
Read 2 more answers
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