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3 years ago

What is the area of the parallelogram shown?

Mathematics

2 answers:

rodikova [14]3 years ago

6 0

Answer:

Area = 96 square m

Step-by-step explanation:

$Area = base \times height = 12 \times 8 = 96 \ m^2$

Westkost [7]3 years ago

6 0

Answer:

The area of parallelogram is 96 m ².

Step-by-step explanation:

According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.

<h3>Solution :- </h3>

Using Formula

Area of parallelogram = Base × Height

Substitute the values into this formula

Area of parallelogram = 12 m × 8 m

multiply, we get

Area of parallelogram = 96 m²

Therefore, The area of parallelogram is 96 m ².

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

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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

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

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

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

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

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:

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

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

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

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.

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3 years ago

What does 351 = (y × 8) + 7 equal

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Simplify brackets

351 = y * 8 + 7

Regroup terms

351 = 8y + 7

Subtract 7 from both sides

351 - 7 = 8y

Simplify 351 - 7 to 344

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Divide both sides by 8

344/8 = y

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3 years ago

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