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NikAS [45]
3 years ago
12

1. Find the product of 2.6 x 107 and 6.3 x 16

Mathematics
2 answers:
qaws [65]3 years ago
7 0

Answer:

28'042.56

Step-by-step explanation:

2.6 x 107=278.2

6.3 x 16= 100.8

278.2x100.8=28'042.56

Dahasolnce [82]3 years ago
3 0
2.5 times 107=267.5 6.3 times 16=100.8
hopefully this helped
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Find the remainder when (x3 – 2) is divided by (x – 1). what is the remainder?
KengaRu [80]
By remainder theorem:

f(x) = x³ - 2

factor, x - 1 = 0

x = 1,

Remainder = f(1)

f(x) = x³ - 2

f(1) = 1³ - 2 = 1 - 2 = -1.

Hence remainder is = -1.
5 0
3 years ago
Read 2 more answers
Which of the following statements are true? Select all that apply
trapecia [35]

Answer:

<h3>1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.</h3><h3>2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0</h3><h3>3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. </h3>

Step-by-step explanation:

The choices are

1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.

2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0

3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables.

4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.

The correlation coefficient is a number from -1 to 1, which indicates how strong can be the correlation between variables. It could be a strong positive correlation or a strong negative correlation. If the correlation coefficient is close to -1, then it's a strong negative correlation. If the correlation coefficient is close to 1, then it's a strong positive correlation.

Therefore, the first choice is correct.

The second choice is also correct, because the correlation coefficient is restricted to the interval [-1, 1].

The third choice is also crrect, because 1 represents a strong correlation between variables, but to have full answer, it should say "a strong positive corrrelation".

8 0
3 years ago
Mechanics paper/Math (please helpp!!!)
sp2606 [1]

Answer:

  (i) 15 m, 6 m/s

  (ii) 90 m

Step-by-step explanation:

(i) For some acceleration (a) from rest, the distance covered (d) in time t is ...

  d = (1/2)at^2

The distance covered by Ben in the 5 seconds he is accelerating is ...

  d = (1/2)(1.2 m/s²)(5 s)² = 15 m

Of course, Ben's speed at that point is ...

  s = (1.2 m/s²)(5 s) = 6 m/s

__

(ii) When Ben has been walking 5 s, Alan has been walking 10 s, so Alan has covered (10 s)(4 m/s) = 40 m. Their distance difference of 40 -15 = 25 m is being made up at the rate of their speed differences: (6 m/s) -(4 m/s) = 2 m/s.

It will take (25 m)/(2 m/s) = 12.5 s additional time for Ben to catch Alan. In the 22.5 s that Alan has been walking before they meet, he will have walked ...

  (22.5 s)(4 m/s) = 90 m . . . the distance OP

4 0
3 years ago
Evaluate the expression 3x² + 2x - 4 for x =-2.
marin [14]

Answer:

4

Step-by-step explanation:

3x² + 2x - 4

3(-2)² + 2(-2) - 4

3(4) - 4 - 4

12 - 4 - 4

12 - 8

= 4

4 0
3 years ago
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t
Amanda [17]

Answer:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

df = n-1= 22-1=21

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

\bar X=33.9 represent the sample mean

s=4.1 represent the sample standard deviation

n=22 sample size  

\mu_o =26 represent the value that we want to test

\alpha=0.025 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)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:  

Null hypothesis:\mu \geq 36  

Alternative hypothesis:\mu < 36  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

Now we can calculate the critical value but first we need to find the degreed of freedom:

df = n-1= 22-1=21

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0
3 years ago
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