A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.
a) Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h, where v represents the rocket’s initial velocity and h represents the rocket’s initial height.
t?

Answer:

-1.833 ; we do not reject the Null.

Pvalue = 0.0409 ; We do not reject the Null

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13

Step-by-step explanation:

H0 : μ = 13

HA : μ < 13

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(12.8 - 13) ÷ 0.5/sqrt(21)

-0.2 / 0.1091089

= - 1.833

The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528

-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.

Test statistic :

Pvalue from Test statistic at DF = 20 ; α = 0.01

Pvalue = 0.0409

Pvalue > α

0.0409 > 0.01 ; Hence, we do not reject H0.

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13

Answer:

y = 136

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 44

x + y = 180

44 + y = 180

y = 180 - 44

y = 136

Answer:

e. A matched pairs t-test for a mean difference

Step-by-step explanation:

When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.

Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .

When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.

Answer:

y^6

Step-by-step explanation:

9514 1404 393

Answer:

  48

Step-by-step explanation:

If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...

  (8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces

Answer:

3^12

Step-by-step explanation:

(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441

= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12

Answer:

Look below

Step-by-step explanation:

[tex]4x-3y=18\\-3y=18-4x\\y=4/3x-6[/tex]

Answer:

Slope: 4/3

y-intercept: -6

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

Answer:

4.10.99

Step-by-step explanation:

3.14 * 3.5

Answer:

You are right; It is Figure B

Step-by-step explanation:

Aasf;kbdaihhakufnsdo;fgaoudghosaugbolfbodbfaifjla;db;ihjlksabd;ohipn

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Answer:

6 gumballs can be stored in the gumball machine.

Step-by-step explanation:

Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:

10 / 1.5 = X

6.666666 = X

Thus, 6 gumballs can be stored in the gumball machine.

Answer:

9.8

Step-by-step explanation:

x1 = 8 x2 = 4 y1 = -3 y2 = 6

[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]

[tex]\sqrt{(4 - 8)^{2}+(6 - -3)^{2}[/tex]

= 9.8488

= 9.8

B

as a traingle is 180 degrees

The length of the building site is 75 meters.

To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:

Perimeter = 2 * (Length + Width)

In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.

270 = 2 * (Length + 60)

Dividing both sides of the equation by 2 gives:

135 = Length + 60

Subtracting 60 from both sides of the equation gives:

Length = 135 - 60

Length = 75

It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.

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Answer:

1.x²+x-2

=x²+2x-x-2

=x(x+2)-1(x+2)

=(x+2)(x-1)

2.

(x²+x-2)/(x-1)

={x²+2x-x-2}/(x-1)

={x(x+2)-1(x+2)}/(x-1)

={(x+2)(x-1)}/(x-1)

=(x+2) true

Answer:

How many molecules of water are there in 10 lbs of water?

Step-by-step explanation:

Answer:

x = 15

AC = 95

Step-by-step explanation:

6x + 5 = 8x - 25

combine like terms:

2x = 30

x = 15

AC = 95

Answer:

4/12

Step-by-step explanation:

1/3=x/12

using the butterfly method you see that

12=3x

and when solved you get

x=4

giving you

4/12

Also multiply 1/3 by 4 on each side

One third is equivalent to 4 over 12.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Let the unknown number be x.

Here, 1/3 = x/12

Multiply both the numerator and denominator of 1/3 by 4, we get

4/12

So, 4/12 = x/12

x=12

Therefore, the unknown number is 12.

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Answer:

Answer is 64.

Step-by-step explanation:

524288/8192 = 64

Answer:

21 students because 3% = 0.03 . When you multiply 0.03 by 700, you get 21.

Answer:

there are total 21 left handed students in the school.

Answer:

Graph #1 - y=-20x+40

Graph #2 - y=5x+10

Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use

FROM GRAPH #1:

(x1,y1)    (x2,y2)

   80-40/2-3

      20/-1

    M = -20

FROM GRAPH #2:

(x1,y1)  (x2,y2)

  20-10/3-1

     10/2

    M = 5

2. Now once you find the slope you will use the equation of a line formula to form an equation.

The (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)

3. Since we now know the equation of a line and the slope we will substitute the variables.

Graph #1:

y=mx+b

y=-20x+40

Graph #2:

y=mx+b

y=5x+10

Answer:

6xy

Step-by-step explanation:

Answer:

The country's population increased by about 16.73% during this time period.

Step-by-step explanation:

Percent increase:

The percent increase is given by the change multiplied by 100 and divided by the initial value.

In 1990, the population was about 263 million people In 2014, the population was about 307 million people.

Change: 307 - 263 = 44

Initial population: 263

Percentage increase:

44*100/263 = 16.73%

The country's population increased by about 16.73% during this time period.

Answer:

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4. I hope this helps

Step-by-step explanation:

Answer: 89

Step-by-step explanation:

right on edge