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kirill [66]
2 years ago
6

PLEASE REALLY NEED HELP IM STRUGGLING

Mathematics
2 answers:
Korvikt [17]2 years ago
7 0

Answer:

a.) 0.25%

Step-by-step explanation:

i just took the test

KengaRu [80]2 years ago
4 0

At Venn diagram there are 4 parts (20 pieces):

1. Colored only in blue - quadrilaterals with four equal side lengths (3 pieces);

2. Colored only in orange - quadrilaterals with four right angles (6 pieces);

3. Colored in both blue and orange - quadrilaterals with four right angles and with four equal side lengths (2 pieces);

4. Colored in white - quadrilaterals withoutprevious two properties (9 pieces).

Consider events:

A - a randomly chosen quadrilateral has four right angles;

B - a randomly chosen quadrilateral has four equal side lengths;

Use formula Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr A} to find the probability that a randomly selected quadrilateral with 4 right angles also has four equal side lengths:

Pr(A\cap B)=\dfrac{2}{20},\\Pr(A)=\dfrac{8}{20},\\Pr(B|A)=\dfrac{\frac{2}{20}}{\frac{8}{20}} =\dfrac{2}{8}=\dfrac{1}{4} =0.25

Answer: Pr=0.25

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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,

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

OPTION A

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1 year ago
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