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Morgarella [4.7K]
1 year ago
13

Please help ill give you 50 points

Mathematics
1 answer:
Verdich [7]1 year ago
5 0

a. 3 × 10^0

b. 33. 6 × 10^0

c. 57. 6 × 10^2

d. 4. 0 × 10^-7

e. 7. 0 × 10^-1

<h3>What is scientific notation?</h3>

Scientific notation is simply a way of expressing numbers that are too large or small to be written in decimal form.

It may be referred to as standard index form or scientific form.

From the information given, we have;

a. 0. 000003 is written in standard form as;

= 3 × 10^-6 × 3 × 10^6

= 3 × 10^-6 + 3

= 3 × 10^0

= 3

b. 56, 000, 000. 00 is written in standard form as;

= 5. 6 × 10^7 × 6 × 10^-7

= 33. 6 × 10^7 -7

= 33. 6 × 10^0

= 33. 6

c. 8. 0 × 10^-3 × 7. 2 × 10^5

= 57. 6 × 10^-3 + 5

= 57. 6 × 10^2

d. 4. 0 × 10^-3 × 4. 0 × 10^-4

= 4. 0 ^ -3 +(-4)

= 4. 0 × 10^-7

e. 7. 0 × 10^3 × 7. 0 × 10^4

= 7. 0 × 10^ 3-4

= 7. 0 × 10^-1

Thus, scientific notation is also referred to as standard form.

Learn more about scientific notation here:

brainly.com/question/27862246

#SPJ1

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A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0
3 years ago
Picasso's Phone Shop charges $65.54 for its activation fee plus $13.10 for every gigabyte, g, of data you use over your limit. T
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Answer:

$13.10 represents the rate of change

Step-by-step explanation:

13.1 is the only value in the equation with a variable (g). There is an additional $13.10 charge for every gigabyte used over the limit, and this is the rate of change.

For example, if 5 gigabytes were used over the limit, the charge would be 13.1(5) or $65.50

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Complete the point-slope equation of the line through (-8,-8) and (-7,9)
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Step-by-step explanation:

point slope formula: y-y1=m(x-x1)

m= y2-y1/x2-x1

input numbers

so slope:

m=(9--8)/(-7--8)

(-)×(-)=+

(+)×(-)=(-)

so m=17/1

m=17

now point slope

y--8=17(x--8)

y+8=17x+136

to get y alone we have to use opposite operations

y and 8 are adding so we need to subtract on both sides

y+8-8=17x+136-8

y=17x+128

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5x + 2(x + 7) = 14x – 7.i will mark brainliest
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Answer:

5x +2x+14 =14x-7

7x+14=14x-7

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Step-by-step explanation:

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