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Leya [2.2K]
2 years ago
8

The three angles of a triangle are presented as the

Mathematics
1 answer:
jeka942 years ago
5 0

Answer:

Step-by-step explanation:

4x+6x+2x=180

12 x=180

x=180/12=15

angles are 4×15=60°,6x=6×15=90°,2x=2×15=30°

so angles are 60°,90°,30°

it is a right angled triangle.

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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:

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

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

<em>The data is:</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

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
Which of the following best represents the speed of Halley's comet when it is nearest to Earth?
Tasya [4]
I believe it would be A but i could be way off
8 0
3 years ago
Read 2 more answers
Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertise
andriy [413]
She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads
4 0
3 years ago
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2. Write the following in order from least<br> to greatest:<br><br> 0.7, 0.84, 4/5, 82%, 71/100
lutik1710 [3]

Answer:

0.7, 71/100, 4/5, 82%, 0.84

4 0
3 years ago
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3. Aimee is redecorating her house and found a table at Pier One for $515. The table has
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Answer:

386.25

Step-by-step explanation:

To find 25 percent, we must first divide by four.

515 divided by 4 is 128.75

Now we mark off 128.75 USD

Basically, subtract 515 by 128.75

We're left with 386.25

4 0
2 years ago
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