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3 years ago

Solve the equation 2s+s+12=132

2 answers:

n200080 [17]3 years ago

8 0

The answer is 40 ! You combine like terms and get the opposite variables to the left and regular number with out the variable to the right and then solve so 40 !

Arte-miy333 [17]3 years ago

7 0

2s+s+12=132
Step 1: Simplify both sides of the equation.
2s+s+12=132
Simplify: Let's simplify step-by-step.
2s+s+12=132
(2s+s)+(12)=132(Combine Like Terms)
3s+12=132
3s+12=132
Step 2: Subtract 12 from both sides.
3s+12−12=132−12
3s=120
Step 3: Divide both sides by 3.
3s/3=120/3s=40

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3 years ago

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3 years ago

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

arlik [135]

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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.

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Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

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

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

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

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:

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