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2 years ago

Find the equation of the parabola with its focus at (6, 2) and its directrix y = 0

Mathematics

1 answer:

bagirrra123 [75]2 years ago

8 0

Answer:

y= 1/4 x-62+1

Step-by-step explanation:

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4vir4ik [10]

Hint:- integral of x is x^2 / 2

5 0

3 years ago

Maya has 120 caramel apples to sell. each caramel apple is covered with one topping

oksano4ka [1.4K]

Answer:

1/5 * 120 = 24 peanut

1/3 * 120 = 40 chocolate chips

3/10 * 120 = 36 coconut

There are 20 left

Unless there are other toppings not mentioned,

those last 20 must have sprinkles

4 0

2 years ago

The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$

Evaluate

$\sigma= \sqrt{30.6496}$

Solve

$\sigma= 5.54$

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

7 0

1 year ago

Graph the function.<br> y = 3 square root x

s2008m [1.1K]

Answer:

x=3×3

Step-by-step explanation:

ok it's fine if you don't mind

8 0

2 years ago

X+3/2 + (x-1) = 4/5

tester [92]

Answer:

x = $\frac{3}{20}$

Step-by-step explanation:

Given

x + $\frac{3}{2}$ + (x - 1) = $\frac{4}{5}$

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = $\frac{3}{20}$

3 0

2 years ago

Read 2 more answers