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3 years ago

Write 4,900,000,000,000 in a sicentific notation

Mathematics

2 answers:

vova2212 [387]3 years ago

8 0

Answer:

4.9 x 10∧12

Step-by-step explanation:

san4es73 [151]3 years ago

5 0

4.9x10^12 . that’s in scientific notation

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Which expression gives the distance between the points (4,6)and (7,-3)

amid [387]

The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2 so in this case:

d^2=(7-4)^2+(-3-6)^2

d^2=3^2+9^2

d^2=90

d=√90

d=3√10 units

d≈9.49 units (to nearest hundredth of a unit)

3 0

3 years ago

A standard die is rolled find the probability that the number rolled is greater than 4 Express your answer as a fraction in lowe

jeka94

Answer:

$\frac{1}{3}$

Step-by-step explanation:

A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is $\frac{2}{6}$ , but this can be simplified to $\frac{1}{3}$ .

4 0

2 years ago

If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is

V125BC [204]

Answer:

The probability is $P(\= X < 40.4) = 0.84134$

Step-by-step explanation:

From the question we are told that

The mean is $\mu =40 \ \Omega$

The standard deviation is $\sigma = 2 \ \Omega$

The sample size is n = 25

The combined resistance is $\sum x_i = 1010 \ \Omega$

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{1010 }{25}$

=> $\= x = 40.4 \ \Omega$

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 2 }{\sqrt{25} }$

=> $\sigma_{x} = 0.4$

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

$P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )$