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3 years ago

As part of a survey, 300 girls were asked to name their favorite sport. The results showed that 12 of the girls

Mathematics

1 answer:

Hatshy [7]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{12}{300}*100=\frac{12}{3}=4$

4% of the girls in the survey named bowling as their favorite

sport.

You might be interested in

Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.

maw [93]

If you put in the substitutions it would be 2*2-(2*2*4)+(3*2)-(-4*2)+(2*4).
Simplified further by multiplying it would be 2*2-8+6--8+8
the negative 8 could be simplified further since the negatives cancel out so you'll have 2*2-8+6+8+8.
Then using the order of operations you would multiply the 2's together first to get 4 so you have 4-8+6+8+8.
After that it's simple addition giving you an answer of -26.
I'm not sure if you're looking for the final answer or just the equation with substitutions but there's both.

3 0

3 years ago

Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes

azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

The centre of the ellipse is at the origin and the X axis is the major axis

It passes through the points (-3, 1) and (2, -2)

The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

$\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1$

Given that the ellipse passes through the point (-3, 1)

Hence,

$\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1$

Cross multiplying we get,

9b² + a² = 1 ²× a²b²
a²b² = 9b² + a²

Multiply by 4 on both sides,

4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

$\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1$

Cross multiply,

4b² + 4a² = 1 × a²b²
a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

3a²b² = 32b²
3a² = 32
a² = 32/3----(3)

Substituting in 2,

32/3 × b² = 4b² + 4 × 32/3
32/3 b² = 4b² + 128/3
32/3 b² = (12b² + 128)/3
32b² = 12b² + 128
20b² = 128
b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

$\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1$

$\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1$

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>

8 0

3 years ago

Two pipes can fill a tank in 87 minutes if both are turned on. If only one is used, it would take 23 minutes longer for the smal

seraphim [82]

I need some more help

8 0

4 years ago

Turner measured the floor of his storage unit, which is rectangular. It is 48 feet wide and 52 feet from one corner to the oppos

saveliy_v [14]

Answer:

<u>The storage unit is 20 feet long.</u>

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:

With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.

Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²

Replacing with the real values:

Length of the storage unit ² = 52² - 48²

Length of the storage unit ² = 2,704 - 2,304

Length of the storage unit ² = 400

√Length of the storage unit ² = √400

<u>Length of the storage unit = 20 feet</u>

4 0

3 years ago

Dree rolls a strike in 6 out of the 10 frames of bowling

tigry1 [53]

There’d be 4 more frames because he rolled 6 and 4+6 = 10

5 0

3 years ago