Ask question

Ask question

All categories

3 years ago

9

5. Two shelves are on a wall with one directly above the other. One shelf is 4 5/6 feet above the floor and the other is 5% 9/10

feet above the floor. Find the distance between the shelves.

1 answer:

Levart [38]3 years ago

5 0

5 9/10 - 4 5/6 = (5x10+9)/10 - (4x6+5)/6 = 59/10 - 29/6 = 177/30 - 145/30 = 32/30 = 1 1/15 feet apart

You might be interested in

How do i find the measures of the angles

Over [174]

Do you have a protractor? If so, use it and place the center whole, that is located at the bottom, and place it on the dot of the angle. where the arrow hits, is your angle degree. You should be able to identify the angle type.

6 0

3 years ago

If 50 people go up the mountain and 40 people come down the mountain in a group then 7 people come down but then they go back up

trasher [3.6K]

If you want to make your teacher laugh I say D but if you want to get it right I say B

7 0

3 years ago

The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform t

shtirl [24]

Answer:

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

Step-by-step explanation:

As the given Augmented matrix is

$\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 1 :

$r_{1}$ ↔ $r_{1} - r_{2}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 2 :

$r_{3}$ ↔ $r_{3} - 8r_{1}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right]$

Step 3 :

$r_{2}$ ↔ $\frac{r_{2}}{7}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right]$

Step 4 :

$r_{1}$ ↔ $r_{1} + 14r_{2}$ , $r_{3}$ ↔ $r_{3} - 124r_{2}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right]$

Step 5 :

$r_{3}$ ↔ $\frac{r_{3}. 7}{254}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right]$

Step 6 :

$r_{1}$ ↔ $r_{1} - 4r_{3}$ , $r_{2}$ ↔ $r_{2} + \frac{1}{7} r_{3}$

$\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right]$

∴ we get

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

6 0

3 years ago

(3 + 12) + 25 = 3 + (12 + 25)

Whitepunk [10]

Answer:Commutative property of addition

Step-by-step explanation: It’s because you’re adding stuff

6 0

3 years ago

Psychologist is measuring learning in mice. He assumes that a mouse learns to recognize a specific object after a random number

Sphinxa [80]

Answer:

Option B) 0.2143

Step-by-step explanation:

We are given the following in the question:

Numbers of exposures(x): 4,3,7

We have to find the maximum likelihood estimate of p.

Formula:

$\hat{p} = \dfrac{n}{\sum x_i}$

Putting the values, we get,

$\hat{p} = \dfrac{3}{3+4+7} = \dfrac{3}{14} = 0.2143$

Thus, the correct answer is

Option B) 0.2143

6 0

4 years ago