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3 years ago

When an object accelerates, it changes its

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

4 0

Answer: When an object accelerates, it changes it velocity over time.

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What are tangent lines

yawa3891 [41]

Answer:

In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

I need help ASAP!!!Please explain you answer

just olya [345]

Answer:

Step-by-step explanation:

The body of the Cylinder.

Formula

Area of the body = circumference * length

circumference = 2*pi * r

r = 6 m

Circumference = 2 * 3.14 * 6

Circumference = 12 * pi

Area of body = 12*pi * length

area of body = 12*9 * pi

Area of body = 108* pi

Two ends

The diagram is not complete enough to know whether or not there are 2 ends or one. I'll assume 2.

Area = 2 * pi r^2 For both

Area = 2 * pi * 6^2

Area = 72 pi

Total Area

Total area = 72 pi +108 pi

Total area = 180 pi

Total Area = 180 * 3.14

Total Area = 565.2

5 0

3 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

3 years ago

The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x.

OLga [1]

The area of triangle formula is A = B*H / 2
so it means 16 square = (x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4

5 0

3 years ago

A rectangular room is 4.6 meters wide by 5.4 meters long. What is it’s perimeter?

GrogVix [38]

There ya go hope it helps

7 0

3 years ago

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