How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?

Answer:

D

Step-by-step explanation:

5 divided by 4 is just 5/4 written out

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

The moment generating function of each random variable is;

M(t) = (1/(1 - 1.5t))^(2), t < 2/3

Answer:

SD[X + Y] = 3

Step-by-step explanation:

For ease of differentiation, let's rewrite the M(t) function as;

M(t) = (1 - (3/2)t)^(-2)

Let's find the first derivative of the function;

M'(t) = 3(1 - (3/2)t)^(-3)

To get E[X], we will put 0 for t to get;

E[X] = 3(1 - (3/2)0)^(-3)

E[X] = 3

Now,let's find the second derivative of M(t)

M"(t) = (27/2)(1 - (3/2)t)^(-4)

At,t = 0, we will get E[X²]

Thus;

E[X²] = 27/2

Now, Var[X] = E[X²] - (E[X])²

Var[X] = (27/2) - 3²

Var[X] = 9/2

We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;

Var[X + Y] = 9/2 + 9/2

Var[X + Y] = 9

Now,we know that square root of variance is standard deviation. Thus;

SD[X + Y] = √9

SD[X + Y] = 3

Answer:

The distances AB and BC are

√

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

√

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

√

52

and therefore isosceles.Step-by-step explanation:

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

m=(13-5)/(6-2)

m=8/4

m=2

b=y-mx

b=5-2*2

b=5-4

b=1

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-5)/(6-2)

m=8/4

m=2

y-y1=m(x-x1)

y-5=2(x-2)

y-5=2x-4

y=2x-4+5

y=2x+1

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

Answer:

So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)

Step-by-step explanation:

Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A coin is flipped and a die is rolled

Probability of getting a head on the coin and a 4 on the die​:

Total Number of favorable outcomes(coin is flipped) = {H, T}  = 2

Number of favorable outcomes (head) = 1

Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6}  = 6

Number of favorable outcomes (4 on the die) = 1

P(head) = [tex]\frac{1}{2}[/tex]

P(4) = [tex]\frac{1}{6}[/tex]

P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]

= [tex]\frac{1}{12}[/tex]

= 0.083

Hence, Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Find out more information about Probability here

https://brainly.com/question/11234923

#SPJ2

Answer:

there you go!! it's correct dont worry

Answer:

I believe 2.

Step-by-step explanation:

All the lengths can be multiplied by 2 to equal the lengths of the larger triangle.  However, I am not positive.

Answer:

2

Step-by-step explanation:

22x2=44

10x2=20

32x2=64

40x2=80

all of them match so yes they are equivalent

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Answer:

TIK TOK

Step-by-step explanation:

ON THE CLOCK  

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

Answer:

the answer is 2

Step-by-step explanation:

sorry if this is wrong

Answer:

1,050ml

Step-by-step explanation:

6 x 350= 2,100

3 x 350= 1,050

2,100 - 1,050 = 1050ml

Answer:

y=4

Step-by-step explanation:

Answer:

5/9 and 3/9

Step-by-step explanation:

run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it

1/9 + 8/9 Difference is not 2/9th

2/9 + 6/9 Difference is not 2/9th

3/9 + 5/9 Difference is 2/9th. This is our answer

Step-by-step explanation:

5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

4(9 + 4), because :

4 * 9 + 4 * 4 = 36 + 16

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

53 and 17

Step-by-step explanation:

If you add 53 and 17, you get 70.

If you subtract 17 from 53, you get 36. Hope this helps!

Answer:

In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

-1/2 in to -2/4

3/4+(-2/4)=1/4

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation: