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2 years ago

Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds

Mathematics

1 answer:

tangare [24]2 years ago

6 0

The answer is 2/3 times as heavy as the dog.

Since we are looking for the weight of the cat in relation to the dog's weight, we have to divide the cat's weight by the dog's weight.

5 1/2 = 5.5, 8 1/4 = 8.25.

5.5 / 8.25 = 2/3.

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Step-by-step explanation:

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The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days

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Given:
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σ = 60 days, the population standard deviation

Therefore
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μ - σ = 440
μ + 2σ = 620
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The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
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3 years ago

Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

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e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

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1 year ago

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