My brother needs help with his math homework and I don't understand this?need help.

M 2 = 2x°, m 3 = 5x°, m 1 =<br><br> 2x + 5x<br> 5x - 2x<br> 180 - 5x<br> 180 - 7x

MaRussiya [10]

We know: the sum of measures of triangle angles is 180°.

Therefore we have the equation

$m\angle1+m\angle2+m\angle3=180^o\to m\angle1=180^o-m\angle2-m\angle3$

Substitute $m\angle2=2x,\ m\angle3=5x$ :

$m\angle1=180-2x-5x=180-7x$

<h3>Answer: 180 - 7x</h3>

8 0

3 years ago

16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)$

where $x_1,x_2,...,x_n$ are the values that the variable can take and $p(x_1),p(x_2),...,p(x_n)$ are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

$E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15$

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

$V(x)=E(x^2)-(E(x))^2$

Where $E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)$

So, the variance V(x) is equal to:

$E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075$

Finally, the standard deviation is calculated as:

$S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545$

8 0

3 years ago

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The relationship between time and distance remaining on a 3 mile walk for someone walking at a rate of 2miles per hour

Maksim231197 [3]

Answer:

$Remaining\ distance=3-2t\ \ \ \ \ \ \ \ \ (where\ t\ is\ time)$

Step-by-step explanation:

$Total\ distance=3\ mile\\\\speed=2\ miles/hour\\\\Time=t\\\\In\ t\ hours\ distance\ covered=velocity\times time=2\times t=2t\\\\Remaining\ distance=total\ distance-distance\ covered\\\\Remaining\ distance=3-2t$

6 0

3 years ago

Hi pls help me out asap 1

faltersainse [42]

Answer:

B: 112.5

Step-by-step explanation:

first, we split up the rhombus into two triangles, with the height of 15 and the length of 7.5. when you multiply these you will get 112.5, and normally if you are just getting the area of the triangle, then you would divide it by two, but seeing that we have 2 triangles here, we would multiply it by two afterwards so an easier way to do it is just to not divide.

7 0

3 years ago

Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The peri

bonufazy [111]

Answer:

5456 sq. inches

Step-by-step explanation:

Let width = w,

Then length = w + 26

Perimeter = 2[length + width]

2[(w +26) + w] = 2[2w + 26] = 4w + 52

Perimeter given is 300

So, 4w + 52 = 300

4w = 248

w = 248/4 =62

length = 62 + 26 = 88

Area = length × width

Area = 88 × 62 = 5456 sq. inches

6 0

3 years ago

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