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3 years ago

A) Is205 a term in the sequence 15.9, 13.......? 10 15 22

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

Answer:

Step-by-step explanation:

as 205 is the term greater than the 1st term of AP and the difference is in decreasing order

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The distance around the middle of a sphere (the circumference) equals 37.699 in. what is the surface area of the sphere?

podryga [215]

To solve this problem you must apply the proccedure shown below:

1. Clear the radius from the formula for the circumference of a circle and substitute values, as following:

$C=2\pi r\\ r=C/2\pi \\ r=37.699in/2\pi \\ r=5.99in$

2. Substitute the radius calculated into the formula for calculate the surface area of the sphere:

$SA=4\pi r^{2} \\ SA=4\pi(5.99in^{2})\\ SA=450.88in^{2}$

The answer is: $450.88in^{2}$

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3 years ago

The sum of 13 and twice a number

Setler79 [48]

This would be 13+2x because if x is the number, then 2 times it would be 2x and the sum means addition so it would be 13+2x

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3 years ago

Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in slope-inter

Ray Of Light [21]

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

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3 years ago

6 + (9 − 1) 2 ÷ 4 <br> the 2 is an exponent

zmey [24]

6+(9-1)^2/4 = 22
______________[

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3 years ago

Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error