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2 years ago

What is the measure of the missing angle?

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

6 0

Answer:

The angle is 59 degrees.

Step-by-step explanation:

A triangle's angles, in total, must equal 180 degrees.

71 + 50 + (6x-1) = 180

71 +50 = 121

121 + (6x-1) = 180

6x - 1 = 59

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Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with mea

Anika [276]

Answer:

About 3 years Speedy Jet printers be guaranteed.

Step-by-step explanation:

Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with

mean $\mu = 4$ and standard deviation $\sigma = 0.78$

If the company wishes to replace no more than 10% of the printers.

To find : How long should Speedy Jet printers be guaranteed ?

Solution :

Using Z- table,

Z value corresponding to 10% or 0.10 = -1.28.

Applying z-score formula,

$z=\frac{x-\mu}{\sigma}$

The value of x is given by,

$x=(z\times \sigma)+\mu$

Substitute the values,

$x=(-1.28\times 0.78)+4$

$x=-0.9984+4$

$x=3.0016$

So, approx 3 years.

Therefore, About 3 years Speedy Jet printers be guaranteed.

8 0

3 years ago

“What happens to our balloon when we subtract a positive number (puffs of air)?”

bekas [8.4K]

the height decreases

6 0

3 years ago

a bag contains six red marbles and seven blue marbles. You randomly pick a marble and then return it to the bag before picking a

tankabanditka [31]

Answer:

6/13 7/13 chance to get the marbles

Step-by-step explanation:

4 0

3 years ago

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

sineoko [7]

Formula of the Volume of a hemisphere:
V = $\frac{2}{3}$ $\pi$ r³
144 $\pi$ = $\frac{2}{3}$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$\frac{432 \pi }{2 \pi }$ = $\frac{2 \pi }{2 \pi }$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

8 0

3 years ago

Corey invested $800 in a CD at a simple interest rate. After 24 months, his account was worth $1000.

Vladimir [108]

Answer:

made 25%

Step-by-step explanation:

5 0

2 years ago