1) Complete the sentences to explain how to multiply 4.56 x 1,000.
1 answer:
Answer:
The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.
Step-by-step explanation:
Multiplication of a decimal by the nth power of 10:
In this case, the decimal point should be moved n units to the right.
Division of a decimal by the nth power of 10:
In this case, the decimal point should be moved n units to the left.
In this question:
We multiply the decimal 4.56 by 1000.
1000 is the 3rd power of 10, because . So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.
You might be interested in
The range of the video games owned for the cluster is between 8 to 10.
Given
A group of children 6 to 10 years old were asked how many video games they owned.
The scatter plot shows the results.
<h3>What is the range?</h3>The range is the difference between the lowest and highest numbers in a data set.
The range of video games owned for the cluster is 8 to 10.
Therefore,
The range of the video games owned for the cluster is;
Hence, the range of the video games owned for the cluster is between 8 to 10.
To know more about Range click the link given below.
Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean, = 1.3 cm and Standard deviation,
= 0.01 cm
Also, since distribution is normal;
Z = ~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P( <
) = P(Z < 3) = 0.99865
P(X <= 1.27) = P( <
) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .