-3(2x-3)+5x=bx+9 solve for b

I can’t figure out the red part please help much appreciated

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

(23,0)

23 computers

the they make 0 dollars

6 0

3 years ago

Consider a sample with six observations of 15, 16, 12, 8, 6, and 9. Compute the z-scores for each sample observation.

grin007 [14]

Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

4 0

3 years ago

What is the measure of angle R shown below, given r = 10, q = 20, and Q = 100°? Round the answer to the nearest tenth.0.5° 2.0°

Korolek [52]

Answer : 29.5°

Given r = 10, q = 20, and Q = 100°

From the attached figure we can see that two sides and one angle is given

We use sine rule to find angle R

$\frac{sin A}{a} = \frac{Sin B}{b} = \frac{Sin C}{c}$

In triangle QRS

$\frac{sin Q}{q} = \frac{Sin R}{r} = \frac{Sin S}{s}$

r = 10, q = 20, and Q = 100°

$\frac{sin Q}{q} = \frac{Sin R}{r}$

Replace all the values

$\frac{sin 100}{20} = \frac{sin R}{10}$

$\frac{sin(100)*10}{20} = sin(R)$

$\frac{0.984807753*10}{20}$ =sin R

0.4932403876 = sin (R)

R= $sin^{-1} (0.4932403876)$

R= 29.5 degrees

3 0

3 years ago

The volume of the above cylinder is 21m find the radius of the circular end

german

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

4 0

3 years ago

What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?

zysi [14]

Answer:

y= -5x + 21

Step-by-step explanation:

The equation of the line that passes through (5, -4) and is perpendicular to line y = 1/5x + 4 is y= -5x + 21

The slope that is perpendicular to the slope 1/5x is -5x.

To find a perpendicular slope, you take the negative reciprocal. (so you change the signs (1/5x is positive so now it would be negative) and -5/1 is basically -5)

However, y = -5x + 4 does NOT pass through (5, -4)

But we still have to write the equation in slope intercept form or the equation of the line

The formula for slope- intercept form is : y= mx + b

So we must plug in (m) which is our -5x and for y we look at the coordinates they gave us ----- (5, -4). -4 is our y. In the coordinates we also have x listed which is 5, so we all plug that in.

y = -5x + b (as you can see -5x is plugged in here)

-4 = -5x + b (as you can see -4 is plugged in here)

4 = -5(5) + b (as you can see 5 is plugged in here)

NOW WE MUST SOLVE!

<h3>Isolate B</h3>

-4 = -25 + b

Add 25 from both sides.

-4 = -25 + b

+25 25

----------------

21 = b

We can now plug this into our slope intercept formula---y= mx+ b---to find the equation of the line.

<h2>Therefore, y = -5 x +21</h2>

4 0

3 years ago