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3 years ago

Show how can you find the unit rate without using the models

Mathematics

1 answer:

Hatshy [7]3 years ago

4 0

Answer:

You can use equation or use a calculator.

Step-by-step explanation:

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The height y (in feet) of a ball thrown by a child is

KengaRu [80]

I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet

For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.

For b), we find the vertex of y = -1/16x^2 + 4x + 3
 y = -1/16x^2 + 4x + 3
 y = -1/16(x^2 - 64x) + 3
 y = -1/16(x^2 - 64x + 1024 - 1024) + 3
 y = -1/16((x-32)^2 - 1024) + 3
 y = -1/16(x-32)^2 + 64 + 3
 y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.

For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
 x = [ -b ± √b^2 - 4ac ] / (2a)
 x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
 x = -0.741, 64.741
Only the positive solution, so 64.741 feet

3 0

3 years ago

Read 2 more answers

.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo

r-ruslan [8.4K]

Answer:

We conclude that the average height of hobbit is taller than Yoda.

Step-by-step explanation:

We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.

From a sample of 7 hobbits, you ﬁnd their mean height $\bar X$ = 80 cm with standard deviation s = 10.8 cm.

Let $\mu$ = average height of hobbit.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 66 cm {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, $H_A$ : $\mu$ > 66 cm {means that the average height of hobbit is taller than Yoda}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample mean height = 80 cm

s = sample standard deviation = 10.8 cm

n = sample of hobbits = 7

So, test statistics = $\frac{80-66}{\frac{10.8}{\sqrt{7}}}$ ~ $t_6$

= 3.429

The value of t test statistics is 3.429.

Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0

4 years ago

Question 2

svetoff [14.1K]

Answer:

A: 37/41

Step-by-step explanation:

We can observe that:

The difference of the second and third numbers is equal to 17
The difference of the first and fourth numbers is equal to 13

Therefore the missing pair will be:

20+17 = 37 and 28 + 13 = 41

Correct choice is A

3 0

3 years ago

The perimeter of a rectangle can be found using the formula P = 4 s . True or False

Minchanka [31]

Answer:

${ \underline{ \sf{true}}}$

6 0

3 years ago

Read 2 more answers

Find the area of a triangle with a base of 14 ft and a height of 11 ft. A = bh/2)

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

7 0

3 years ago

Show how can you find the unit rate without using the models​

Show how can you find the unit rate without using the models