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What is -4R-2r+5 as a simpler exspression

enyata [817]

$\sf-4R-2r+5$ is already in simplest form.

But if you meant to say $\sf-4r-2r+5$ , we would combine the first two terms.

Adding/subtracting like terms is the same as adding/subtracting whole numbers.

$\sf-4-2=-6$

Therefore:

$\sf-4r-2r=-6r$

Which gives us:

$\boxed{\sf-6r+5}$

8 0

3 years ago

Read 2 more answers

Find the area of this regular polygon.<br> Round to the nearest tenth.<br> 8.65 mm<br> [? ]mm2

nadezda [96]

Answer:

Actually it's not polygon. it's a nonagon. With r=8.65mm″, the law of cosines gives us side a:

a=√{b²+c²−2bc×cos40°}

a=√{149.645−149.645cos40°}

Area Nonagon = (9/4)a²cos40°

=9/4[149.645−149.645cos40°]cot20°

=336.70125[1−cos(40°)]cot(20°)

Applying an identity for the cos(40°) does not get us very far…

= 336.70125[1−(cos2(20°)−1)]cot(20°)

= 336.70125[2−cos2(20°)]cot(20°)

= 336.70125[2−(1−sin2(20°))]cot(20°)

= 336.70125[1+sin2(20°)]cos(20°)sin(20°)

= 336.70125[cot(20°)+sin(20°)cos(20°)]mm²

3 0

3 years ago

Please help!!!! I’m unsure of the answers

igomit [66]

Answer:

table:

.1, .25, .35, .2, .1

p(x=4) = .1

p(x<2) = .35

p(3≤x≤4)= .55

1.95, 1.12

Step-by-step explanation:

this is kind of hard to read, but i think i've got it

mean:

0*.1+1*.25+2*.35+3*.2+4*.1= 1.95

The second moment:

0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05

the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean

5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12

3 0

3 years ago

A company claims that less than 10% of adults own a smart watch. You want to test this claim, and you find that in a random samp

Nezavi [6.7K]

Answer:

Test statistic is 0.67

Critical value is -2.33

Step-by-step explanation:

Consider the provided information.

The formula for testing a proportion is based on the z statistic.

$z=\frac{\hat p-p_0}{\sqrt{p_0\frac{1-p_0}{n}}}$

Were $\hat p$ is sample proportion.

$p_0$ hypothesized proportion and n is the smaple space,

Random sample of 100 adults, 12% say that they own a smart watch.

A company claims that less than 10% of adults own a smart watch.

Therefore, n = 100 $\hat p$ = 0.12 , $P_0$ = 0.10

$1 - P_0 = 1 - 0.10 = 0.90$

Substitute the respective values in the above formula.

$z=\frac{0.12-0.10}{\sqrt{0.10\frac{0.90}{100}}}$

$z\approx 0.67$

Hence, test statistic = 0.67

This is the left tailed test.

Now using the table the P value is:

P(z < 0.667) = 0.7476

P-value = 0.7476

$\alpha = 0.01$

Here, P-value > α therefore, we are fail to reject the null hypothesis.

$Z_{\alpha}= Z_{0.01} = -2.33$

Hence, Critical value is -2.33

7 0

3 years ago

(50 POINTS) The figure is transformed as shown in the diagram. Describe the transformation. A) dilation, then reflection B) refl

Helga [31]

Answer:

Hi there I was just working on this question on UsaTestPrep and idk if the answer is really correct but here: C: reflection then rotation.

Step-by-step explanation:

Extra Info:

Dilation is when the shape changes in size, which doesn't happen.

Translation is when it just moves across. It may look like that is happening here, but I'll explain.

The triangle is first reflected along the line . Imaging putting a mirror on the x=0 line (the y axis, basically), and you'd see 1 to 2.

Then, it is rotated around the point . Get a bit of tracing paper, draw over 2, and then, holding the tracing paper down at (works well with a pencil), rotate it round and you will find it fits perfectly over 3.

Also is this the diagram?

6 0

3 years ago