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mash [69]
3 years ago
6

The graph represents the height y, in meters, above the ground of a water balloon x seconds after it is dropped from a window.

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
6 0
The balloon is in the air for 3sThe max height is 44mThe max height occurs at x=0

kotegsom [21]3 years ago
5 0

Answer:

i)The maximum height of the water balloon occurs at x = 0.

iii) The water balloon travels at 3 m/s .

v)The maximum height of the water balloon is 44 m.

vi)The water balloon is in the air for 3 s.

Step-by-step explanation:

We are given the graph that represents height of a water balloon.

In the given graph, the x-axis represents the time (s) and the y-axis represents the height(m) of the ball.

From the given graph, we can interpret the following information.

i) when s = 0, the height of the ball is 44 meter which is the maximum height of the ball.

ii) when s = 3, the ball reaches the ground.

iii) The ball in the air from s = 0 to 3 seconds.

Therefore, the following statements are true:

i) The maximum height of the water balloon occurs at x = 0.

iii) The water balloon travels at 3 m/s .

v)The maximum height of the water balloon is 44 m.

vi)The water balloon is in the air for 3 s.

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V+8w=4v,for v<br><br> -m+5n=-2, for n
jok3333 [9.3K]

Answer:

  • v = 8w/3,
  • n = (m - 2)/5.

---------------------------

<h3>Given equations</h3>
  • v + 8w = 4v and - m + 5n = - 2

<h3>Solve the first equation for v</h3>
  • v + 8w = 4v
  • 4v - v = 8w
  • 3v = 8w
  • v = 8w/3

<h3>Solve the second equation for n</h3>
  • - m + 5n = - 2
  • 5n = m - 2
  • n = (m - 2)/5
6 0
1 year ago
Read 2 more answers
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are rando
notka56 [123]

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, \overline x_1 = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, \overline x_2 = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  \overline x_1 = \overline x_2

The alternative hypothesis, Hₐ:  \overline x_1 ≠ \overline x_2

The pooled variance, S_p^2, is given as follows;

S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}

Therefore, we have;

S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682

The test statistic is given as follows;

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}

Therefore, we have;

t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

3 0
2 years ago
What is 1.04 to the 1/12 power
LiRa [457]
1.04 ^ 1/12 = 0.086666666
or
1.04 ^ 1/12 = 13/150
8 0
3 years ago
How much is 44000. times 10?
maxonik [38]
When multiplying by multiples of 10, move the decimal place one place over to the right. 44,000 becomes 440,000.
5 0
2 years ago
Read 2 more answers
– 7 (2W - 5)<br> Simplify by using the distributive property and then combine like terms PLEASE
Artemon [7]
-14W + 35. Can’t simplify any further
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