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irina1246 [14]
3 years ago
15

Simplify.

Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0

Answer:

The simplified fraction is \frac{-31}{4}.

Step-by-step explanation:

Consider the provided fraction.

(\frac{1}{2})^2-6(2-\frac{2}{3})

(\frac{1}{4})-6(2-\frac{2}{3})

Distributive property:

a(b+c)=ab+ac

Use the distributive property to simplify the above fraction.

(\frac{1}{4})-12+4

(\frac{1}{4})-8

\frac{1-32}{4}

\frac{-31}{4}

Hence, the simplified fraction is \frac{-31}{4}.

g100num [7]3 years ago
3 0
Slimplify 2-2/3 to 4/3

1/2*2-6*4/3

slimplify 1/2*2 to 1

1-6*4/3

slimplify 6*4/3 to 24/3

1-24/3

slimplify 24/3 to 8

1-8

slimplify

-7
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All you do is move all the terms that don't contain  " x " to the right side and solve. 

x = \frac{23}{7}


Hope that helps, Good luck! (:
8 0
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Please help with my math
shusha [124]

Answer:

Step-by-step explanation:

These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.

If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.

RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.

x+5=16, subtract 5 from both sides.

x=11

5 0
3 years ago
What do you know to be true about the values of p and q?
ss7ja [257]

Answer:

B

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

p = 180° - (80 + 20)° = 180° - 100° = 80° and

q = 180° - (45 + 55)° = 180° - 100° = 80°

Thus p = q → B

7 0
3 years ago
Use technology to find points and then graph the line y=-5(x-5)+1 following the instructions below.
Svetach [21]

Given:

y=-5(x-5)+1

First, let us find two points from this equation.

We can set values of x and then solve for y.

Let us find the values of y when x = 1, 2, 3, 4, 5

\begin{gathered} y=-5(x-5)+1 \\ y=-5(1-5)+1=21 \\ y=-5(2-5)+1=16 \\ y=-5(3-5)+1=11 \\ y=-5(4-5)+1=6 \\ y=-5(5-5)+1=1 \end{gathered}

We now have a set of points:

(1, 21)

(2, 16)

(3, 11)

(4, 6)

(5, 1)

Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)

The graph would then look like this:

6 0
1 year ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
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