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3 years ago

Round the following number to the nearest hundred 123,456

Mathematics

1 answer:

valina [46]3 years ago

8 0

Answer:

Hey!

Your answer is 123,500!

Step-by-step explanation:

TO ROUND TO THE NEAREST HUNDRED we need to look at the TENS column...

IN THIS CASE WE LOOK AT '5'...

If its bigger than 4 INCREASE THE DIGIT IN THE HUNDREDS PLACE BY ONE

If its smaller than 5 DECREASE THE DIGIT IN THE HUNDREDS PLACE BY ONE!

So as 5 is a digit that makes us ROUND UP...we change 4 to a 5 to have 123,500 as our answer!

HOPE THIS HELPS!

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Pleasee help mee 12sin(x)-5cos(x)=6,5

abruzzese [7]

We turn -5,12 into polar coordinates. It's a Pythagorean Triple so

r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k integer k

x = Ф ± 60° + 360° k

x = 180° + arctan(-12/5) ± 60° + 360° k

That's the exact answer;

x ≈ 180° - 67.38° ± 60° + 360° k

x ≈ 122.62° ± 60° + 360° k

x ≈ { 62.62°, 182.62°} + 360° k, integer k

3 0

3 years ago

What is the mean of the following set of numbers 64 65 63 66 60 65 66 68 69 66 63

BaLLatris [955]

You add all those number together then divide the number you got by how many numbers there are and that's your answer, 61.1

edit : dont listen to me I didnt see the numbers 64 and 65, im sorry

7 0

3 years ago

Read 2 more answers

√58 what would be the answer to this?

Maru [420]

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

8 0

1 year ago

6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis

Yakvenalex [24]

Answer:

92.9997< $\mu$ <99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

Hence a 90% confidence interval for the population mean using this sample data is 92.9997< $\mu$ <99.5203

4 0

3 years ago

Find the slope of the line whose equation is 4x - 6y = 8.

ss7ja [257]

Answer:

$Slope=\frac{2}{3}$

Step-by-step explanation:

4x - 6y = 8 ⇔ - 6y = -4x + 8 ⇔ y = 4/6x - 8/6 ⇔ y = 2/3x - 4/3

4 0

3 years ago

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