Which decimal is closest to 5.5? 5.33, 5.49, 5.07

A class tossed coins and recorded 165 heads and 172 tails. What is the experimental probability of tails?

Nata [24]

165+172=337

172/337 is the experimental probability of tails.

Hope this helps!

5 0

2 years ago

Read 2 more answers

How do i find the vertical asymptote?

levacccp [35]

Answer:

find the value of x that makes the denominator zero: x = 7

Step-by-step explanation:

A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).

To find the value of x at the vertical asymptote, solve the equation ...

denominator = 0

x - 7 = 0

x = 7 . . . . . . . add 7 to both sides

7 0

3 years ago

Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

4 0

1 year ago

Professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot. find the recommended slope for a sewe

erik [133]

We have been given that professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot.

Therefore, we can find the slope as:

$\text{Slope}=\frac{0.25\text{ inch}}{\text{1 foot}}=\frac{0.25\text{ inch}}{\text{12 inch}}$

$\text{Slope}=\frac{0.25}{12}=\frac{25}{1200}=\frac{1}{48}$

Therefore, the recommended slope for a sewer pipe is $\frac{1}{48}$

5 0

2 years ago

Anaya makes 14 baskets during her game. Some of these baskets were worth two points and others were worth three points. In total

Valentin [98]

Answer:she made 12 two points basket.

Step-by-step explanation:

Let x represent the number of baskets that were worth two points.

Let y represent the number of baskets that were worth three points.

Anaya makes 14 baskets during her game.

This means that

x + y = 14

Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that

2x + 3y = 30 - - - - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

2(14 - y) + 3y = 30

28 - 2y + 3y = 30

- 2y + 3y = 30 - 28

y = 2

Substituting y = 2 into x = 14 - y, it becomes

x = 14 - 2

x = 12

7 0

3 years ago