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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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Can someone please help me, someone who's serious lol. PLEASE
klemol [59]

Question 11.4.10

Add up everything in the first row

13+31+24 = 68

We have 68 people with high school only education. Out of this group, 24 are conservative

So we have 24/68 = 6/17 represent the probability of selecting a conservatives person given they have high school only education.

<h3>Answer:  6/17</h3>

=======================================================

Question 11.4.15

There are 269+485 = 754 males.

Of this group, 485 are not associates.

Therefore, 485/754 = 0.64 approximately

We focus on the males only because of the phrasing "given that the recipient is male".

<h3>Answer:  0.64 </h3>

=======================================================

Question 11.4.16

Refer to the diagram below. Let's say we had 1000 people surveyed. This means we have 1000 in the bottom right corner to represent the grand total.

40% have a pet now currently and also had a pet in the past, so we have 0.40*1000 = 400 people go in the upper left corner of the table. This is the "have a pet now" row and "had a pet in the past" column.

60% do not have a pet now, so 600 people don't have a pet currently. This is the total for row 2. This must mean 1000-600 = 400 people do have a pet currently. This is the total for row 1.

The missing value in row 1 must be 0 because 400+0 = 400. Also, if a person has a pet now, they likely had it in the past as well. To be honest, the wording to set up the time scale for this problem is vague. What does it mean "in the past"? Do the researchers mean in the previous month? Year? It's not clear. Anyway, the first row consists of 400, 0 and 400 in that order.

----------------------

Then we're told that 85% have had a pet in the past. So 0.85*1000 = 850 people had a pet in the past. This goes at the bottom of the "had a pet in the past" column. This leaves 1000-850 = 150 people who didn't have a pet in the past.

Lastly, 15% of the 1000 people surveyed don't have a pet in the present and they didn't have it in the past either. Since 15% of 1000 = 0.15*1000 = 150, we will write 150 in the second entry of row 2. Notice how 0+150 = 150 for the second column. Every row should add up to the entry in the "total" column, and every column should add up to the entry in the "total" row to help check we have the correct table set up. Lastly, notice how 400+600 = 1000 and 850+150 = 1000 to further verify the table.

----------------------

By this point, the table is completely filled out. We're told "given the respondent had a pet". We only focus on the "had a pet in the past" column. 400 people have a pet now out of 850 who had a pet in the past.

Therefore, 400/850 = 0.47 approximately

<h3>Answer: 0.47</h3>

4 0
2 years ago
Annie got in her car and started driving toward her grandmother's house. After driving for 45 minutes, Annie took a break for 1
serious [3.7K]
8:15 am is the answer because if u add up all of the timings it will become an hour and a half
And when u minus an hour and a half from 10:45 u get 8:15
5 0
3 years ago
a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is
nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0
3 years ago
The height of a trapezoid is 9 centimeters. The bases are 8 centimeters and 12 centimeters long. Find the area?
Georgia [21]

To fond the area of a trapezoid, add the top and bottom together, divide that by 2, than multiply by the height.

Area = (8+12)/2 = 20/2 = 10

10 x 9 = 90 square centimeters.

5 0
3 years ago
Find lim h→0 f(2+h)-f(2)/h if f(x)=x^2+x+1
bekas [8.4K]

Answer:

5

Step-by-step explanation:

\displaystyle \lim_{h \to 0} \frac{f(2+h)-f(2)}{h}

\displaystyle\lim_{h \to 0} \frac{(2+h)^2 + 2 + h + 1 - 2^2 - 2 - 1}{h}

\displaystyle\lim_{h \to 0} \frac{4 + 4h + h^2 + h - 4}{h}

\displaystyle\lim_{h \to 0} \frac{h^2 + 5h}{h}

\displaystyle\lim_{h \to 0} h + 5

= 5

8 0
2 years ago
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