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const2013 [10]
3 years ago
13

Perform the operation. Enter your answer in scientific notation. (7 x 10^*9)(5.6 x 10^*8)

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

3.92 × 10 ^18

Step-by-step explanation:

(7 x 10^*9)(5.6 x 10^*8)

(7000000000)(560000000)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st
maxonik [38]

Answer:

z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413    

p_v =2*P(z>1.413)=0.158  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

Step-by-step explanation:

Data given and notation  

\bar X=5.0611 represent the sample mean

\sigma=0.2803 represent the population standard deviation for the sample  

n=42 sample size  

\mu_o =5 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 5, the system of hypothesis would be:  

Null hypothesis:\mu = 5  

Alternative hypothesis:\mu \neq 5  

If we analyze the size for the sample is > 30 but and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>1.413)=0.158  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

8 0
3 years ago
Eloise started to solve a radical equation in this way: Square root of negative 2x plus 1 − 3 = x Square root of negative 2x plu
SOVA2 [1]
Eloise made these steps well:
 Square root of negative 2x plus 1 - 3 = x
 Square root of negative 2x plus 1 - 3 + 3 = x + 3
 The error comes in the next step:
 Square root of negative 2x plus 1 = x + 3
 Square root of negative 2x plus 1 -1 = x + 3 - 1
 Square root of negative 2x  = x + 2
 the number one is inside the root, therefore they can not be subtracted.
 answer
 error in the step:
  Square root of negative 2x  = x + 2

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2 years ago
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Its D 15+15+15= 45  so there for it will be 45                       





                                                             
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Cindy claims that 4^x/12^x=1/3
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A whole number that would support Cindys claim would be 2 because if u do the ,math it would be 8/24 which would be .333 repeating which is simplify to 1/3 and i do not know a number that would not work
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492032 word form and expanded form
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400,000+90,000+2,000+0+30+02=492,032 is the answer put that and you will get a good grade :)
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