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aleksklad [387]
3 years ago
11

Write the equation of the ellipse with its center at the origin. The height of the ellipse is 8 units and the width is 4 units.

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0
The standard equation of an ellipse is:

(x-h)²/a² + (y-k)²/b² = 1

Since the center at the origin, then h = k = 0

The height of this ellipse = 8 units and the width = 4 units, that means the major axis is b (=8) and the minor axis is a (=4)

Then the equation becomes:

x²/16 + y²/64 = 1

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Find the experimental probability that only 2
Nitella [24]

The experimental probability that only 2 of 4 children in a family are boys is <u>50%</u>.

<h3>What is experimental probability?</h3>

Experimental probability refers to the chance of an expected success being achieved in a series of experiments conducted.

Experimental probability is the number of times that the expected success occurs as a fraction of the total number of times the experiment was conducted.

Like all probabilities, the experimental probability is based on the likelihood that what the experimenter expects is achieved.

Expected number of boys = 2

The number of children in the family = 4

Experimental probability = 50% (2/4 x 100)

Thus, we can conclude, based on the experimental probability, that <u>50%</u> (or 2) of the 4 children in the family are boys.

Learn more about experimental probabilities at brainly.com/question/8652467

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3 0
1 year ago
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Nathaniel works as a baker and makes several batches of muffins every morning. each batch requires 1 1/7 cups of sugar. for a la
kramer

The amount of sugar he will use is 5.22 cups of sugar, and the number of boxes needed to pack the muffins is 13.71 boxes.

<h3>How do we solve a word problem?</h3>

This word problem question can be solved as follows:

Amount of sugar he will use = 1  1/7 * 4 4/7 = 1.142857142857143 * 4.0.571428571428571 = 5.22 cups of sugar

Number of boxes needed to pack the muffins for the meeting = 4 4/7 * 3 = 4.0.571428571428571 * 3 = 13.71 boxes

Learn more about how to solve word problems here: brainly.com/question/13732946.

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8 0
2 years ago
A single card is drawn from a 52 standard deck. Find the conditional probability that the card is a heart given that it's a jack
MakcuM [25]
You can use the formula for conditional probability as Puzzling did. However in this problem it is easier just to restrict yourself and enumerate the cases that are left. 

<span>There are 4 jacks. One of them is a heart. So the probability is 1/4. </span>

<span>If you want to look at what the formula for conditional probability does, it adjusts your probability by restricting the "universe". </span>

<span>P(heart and jack)/P(jack) </span>
<span>= (1/52)/(4/52) = 1/4</span>
7 0
3 years ago
Is x-3/5 = N and N = 6, what is the value of x?
scZoUnD [109]

Answer:

x = 33/5

Step-by-step explanation:

x - 3/5 = n.......n = 6

so we sub

x - 3/5 = 6......add 3/5 to both sides

x = 6 + 3/5...convert using common denominator of 5

x = 30/5 + 3/5

x = 33/5 <===

check...

x - 3/5 = 6

33/5 - 3/5 = 6

30/5 = 6

6 = 6 (correct)...so it checks out

5 0
3 years ago
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Bobby remembered he had a coupon in his pocket that will take an additional 30% off the price of the shirts calculate the new to
garik1379 [7]

Answer:

You subtract the percentage by the shirt costs. And then you'll have your answer. Then add on the sales tax.

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