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3 years ago

Tell me how to find the reciprocal of negative numbers please

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

make it positive and flip the fraction

example: 1/3= -3/1

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Use Special Right Triangles to solve for the value of y. Leave your answer in SIMPLIFIED radical form.

Scorpion4ik [409]

We can use the sine function and tangent function in order to solve for x and y:

$\begin{gathered} sin(\theta)=\frac{opposite}{hypotenuse} \\ sin(60)=\frac{15}{x} \\ x=\frac{15}{sin(60)} \\ x=10\sqrt{3} \end{gathered}$ $\begin{gathered} tan(\theta)=\frac{opposite}{adjacent} \\ tan(60)=\frac{15}{y} \\ y=\frac{15}{tan(60)} \\ y=5\sqrt{3} \end{gathered}$

7 0

1 year ago

Adimas found the mean of her 11 math test scores for the first semester. X = StartFraction (76 87 65 88 67 84 77 82 91 85 90) Ov

Reika [66]

To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.

The standard deviation is 8.4477 and the variance is 71.40.

Given to us

Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
Mean = 81

<h3>Standard Deviation</h3>

difference between each number and mean,

$x_1 -\mu= 76-81 = -5\\
x_2-\mu = 87-81 = 6\\
x_3-\mu = 65-81 = -16\\
x_4-\mu = 88 -81 = 7\\
x_5-\mu = 67-81 = -14\\
x_6 -\mu= 84-81 = 3\\
x_7 -\mu= 77-81 = -4\\
x_8 -\mu= 81-81 = 1\\
x_9 -\mu= 91-81 = 10\\
x_{10}-\mu=85-81 = 4\\
x_{11} -\mu= 90-81 = 9$

$\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2$

= 25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81

= 785

$\rm{ Standard\ Deviation = \sqrt{\dfrac{\sum{(X-\mu)^2}} {n}$

$\sigma= \sqrt{\dfrac{785}{11}}\\\\
\sigma = 8.4477$

<h3>Variance</h3>

Variance = $\sigma ^2$

= 71.40

Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

brainly.com/question/12402189

3 0

3 years ago

What is the answer to this?

NARA [144]

Answer:

See work for 3 answers

Step-by-step explanation:

You can add the exponents

$(-8)^{12}$

also could be stated as

$(8)^{12}$

numerical value

6.87194767 × $10^{10}$

5 0

4 years ago

The first bricklayer can build a wall in 15 days, the second bricklayer can build the same wall in 20 days. How long will it tak

Ugo [173]

Answer:

It takes <u>8 4/7 </u>days for both bricklayers to build the wall together.

Step-by-step explanation:

The first bricklayer takes 15 days to build the wall, which means it builds 1/15 of the wall per day.

The second bricklayer takes 20 days to build the wall, which means it builds 1/20 of the wall per day.

So if they build the wall together, the expression below will tell how much of the wall they build per day together.

1/15 + 1/20

To add the fractions, we must find a common denominator, which is 60.

4/60 + 3/60, which equals 7/60.

So, they can build 7/60 of the wall per day together. How many days will it take them? We must find how many times 7 fits into 60, which can be done by solving 60/7, which is 8 4/7.

So, it takes 8 4/7 days for both bricklayers to build the wall together.

7 0

3 years ago

Solve 2x2 + 4x = 6 by factoring.

Reil [10]

Answer:

all work is shown and pictured

5 0

4 years ago