1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
77julia77 [94]
3 years ago
10

The estimated measurements of the objects are shown below.

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

The scientific notation is a method that scientists use to easily handle very large numbers or very small numbers. As an example, instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9 in scientific notation. The number of places the decimal point got moved becomes the exponent of the number 10. When the movement is from left to right, the exponent is negative (for very small numbers). When it is right to left, the exponent is positive (for very large numbers).

 

Therefore writing estimated measurements in scientific notation:

 

length of a grain of salt : 0.0002 centimeters = 2 x 10-4 centimeters

width of a key ring : 0.02 centimeters = 2 x 10-2 centimeters

You might be interested in
What is the probability that a fair die never comes up an even number when it is rolled six times? (note: enter the value of pro
seropon [69]
Let us compute first the probability of ending up an odd number when rolling a dice. A dice has faces with numbers 1 up to 6. The odd numbers within that is 3 (1, 3 and 5). Therefore, each dice has a probability of 3/6 or 1/2. Then, you use the repeated trials formula:

Probability = n!/r!(n-r)! * p^r * q^(n-r), where n is the number of tries (n=6), r is the number tries where you get an even number (r=0), p is the probability of having an even face and q is the probability of having an odd face.

Probability = 6!/0!(6!) * (1/2)^0 * (1/2)^6
Probability = 1/64

Therefore, the probability is 1/64 or 1.56%.
6 0
3 years ago
Hey, can I get some help with this?
algol [13]

Answer:

1.23E7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
3. What is the 9th term in the following sequence? 11, 17, 23, 29, . . . (1 point) 47 53 59 65
KatRina [158]
Since the common difference is 6, we can assume that the sequence is arithmetic, with rule
T(n)=6n+5  where T(1)=11
T(9)=6(9)+5=59
5 0
3 years ago
What is 10 to the negative 6th power?
Ivanshal [37]

Answer:

0.000001

Step-by-step explanation:

It is because 10 is represented as just like 10 and then in a certain place.  And then the negative means it is to the right of the decimal. 6th power means the 6th place. So, basically it means, 10 in the 6th to the right place which is 0.0000010. You do not need the last zero because there is no value after that, so 0.000001.

Sorry if I am wrong! Can I be brainlieest? TYSM

4 0
3 years ago
A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0
3 years ago
Read 2 more answers
Other questions:
  • one bag of toy animals weigh12 ounces. what is the total weight, in ounces, of the bags of toy animals in one crate
    8·1 answer
  • How can you determine if a number is a rational number?
    5·1 answer
  • Toys-A-Go makes toys at Plant A and Plant B. Plant A needs to make a minimum of 1000 toy dump trucks and fire engines. Plant B n
    15·2 answers
  • Joe is playing a game with a regular die. if the number that turns up is even,he will gain 5 times the number that comes up. if
    5·1 answer
  • Helppppppppppppppppp​
    7·1 answer
  • The are of a rectangle is 50m^2 , the length is 100m . Calculate the width
    9·2 answers
  • The graph of f(x) = 0.4x is replaced by the graph of g(x) = 0.4x + k. If g(x) is obtained by shifting f(x) up by 4 units, then w
    6·1 answer
  • I really need help:(
    9·1 answer
  • The amounts spent by 5 students on back to school supplies are $28.50, $25.75, $23.60, $30.20, and $25.00. Jenny spends $41.13 f
    5·1 answer
  • Find the root of the function f(x)= 1/(1/3)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!