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2 years ago

Please I need some answers just a few are fine

Mathematics

1 answer:

professor190 [17]2 years ago

3 0

Answer:

a) 16

b) 36

c) 4

d) 81

Explanation:

Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.

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A right triangle has legs that measure 7 cm and 6 cm. What is the length of the hypotenuse in meters?

dalvyx [7]

<h2>Greetings!</h2>

Answer:

$\sqrt{85} or 9.22$

Step-by-step explanation:

You need to remember the following equation:

$a^{2} + b^{2} = c^{2}$

Where a and b is the lengths of the two sides and c is the hypotenuse.

So simply plug these values into this:

$6^{2} + 7^{2} = h^{2}$

36 + 49 = h^2

36 + 49 = 85

So the hypotenuse is the square root of 85:

$\sqrt{85} = 9.22$

<h2>Hope this helps!</h2>

7 0

2 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The significance level is 0.05.</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$