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3 years ago

Between what two numbers would 9 be located on the number line?

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

4 0

Answer is A. Because it is located between 9 and 10

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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:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

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:

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

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

The two triangles are similar What is the value of x? Enter your answer in the box x =

lilavasa [31]

Answ x=59

Step-by-step explanation:

4 0

2 years ago

Plz help I will mark as the brainlist

tensa zangetsu [6.8K]

Answer:

1/25

Step-by-step explanation:

We can see that in this pattern, the denominator and the numerator of the next fraction cancel out; they're the same.

(1/2) x (2/3) x (3/4) = 1/4 (do you see it?)

The only things that do not cancel out are the numerator of the first fraction and the denominator of the last. So, in the end, the answer will be 1/25.

Hope this helps!

3 0

3 years ago

Which of the following numbers is located to the right of / on the number line?

Brut [27]

Answer:

the right answer is d

I hope it is helpful for you

6 0

3 years ago

In a bag of counters, there are 3 times as many red counters as

Anni [7]

Answer:

The ratio is 6:2:1.

Step-by-step explanation:

Let's denote:

Blue counter b

Red counter r

Yellow counter y.

There is given

r=3b (three times more red as blue) [1]

and

b=2y (twice more blue as yellow.) [2]

Now, replacing [2] to [1] gives

3*2y=r

6y=r.

Hence, the ratio is 6:2:1, because r=6y and b=2y.

7 0

3 years ago