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4 years ago

Does anyone know the answer

Mathematics

2 answers:

AlexFokin [52]4 years ago

4 0

1/8, 2/16, Equivalent fractions can be found by multiplying or dividing both the numerator and the denominator by the same number.

Amanda [17]4 years ago

3 0

1/8 and 2/16 are Equivalent fractions

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-x^2 +9x-12 in vertex form please help !!!

lesya [120]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this firm use the method of completing the square

Factor out - 1 from each term

y = - (x² - 9x + 12) $\frac{33}{4}$

To complete the square

add/subtract (half the coefficient of the x- term )² to x² - 9x

y = - (x² + 2( - $\frac{9}{2}$ )x + $\frac{81}{4}$ - $\frac{81}{4}$ + 12 )

= - ( (x - $\frac{9}{2}$ )² - $\frac{33}{4}$ )

y = - (x - $\frac{9}{2}$ )² + $\frac{33}{4}$ ← in vertex form

7 0

4 years ago

Are the lines parallel, perpendicular, or neither? 3x-y=5 y=3x+1

erica [24]

Answer:

Parallel

Step-by-step explanation:

To be parallel it would have to be the exact same slope, perpendicular would be the opposite...these equations have the same slope so it is parallel.

$3x-y=5\\3x-5=y\\y=3x-5\\\\vs\\y=3x+1$

3 0

3 years ago

An office supply store sells pencils individually or by the case. Pencils purchased individually cost $0.97 each. One case of fo

AnnyKZ [126]

Answer:

$00.90

Step-by-step explanation:

If you dive the total cost of the case, $37.20, by the total number of pencils, 40, that's the answer you get.

3 0

3 years ago

F(x)=1/4x-2 graph the function and the inverse

Oxana [17]

Answer:

Graph is below

Inverse: y=x/4 -2

y=x/4 -2

x=y/4 -2

x=y/4 -2 for y

Answer: y=4x+8

Step-by-step explanation:

8 0

3 years ago

.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