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Tcecarenko [31]
3 years ago
12

Write each fraction as a decimal . use bar notation if necessary four ninth

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
4/9 is 4 divided by 9 so you get 0.444444444 continued so you do need the bar notation.
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A company uses three different assembly lines- A1, A2, and A3- to manufacture a particular component. Of thosemanufactured by li
hammer [34]

Answer:

The probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

Step-by-step explanation:

The three different assembly lines are: A₁, A₂ and A₃.

Denote <em>R</em> as the event that a component needs rework.

It is given that:

P (R|A_{1})=0.05\\P (R|A_{2})=0.08\\P (R|A_{3})=0.10\\P (A_{1})=0.50\\P (A_{2})=0.30\\P (A_{3})=0.20

Compute the probability that a randomly selected component needs rework as follows:

P(R)=P(R|A_{1})P(A_{1})+P(R|A_{2})P(A_{2})+P(R|A_{3})P(A_{3})\\=(0.05\times0.50)+(0.08\times0.30)+(0.10\times0.20)\\=0.069

Compute the probability that a randomly selected component needs rework when it came from line A₁ as follows:

P (A_{1}|R)=\frac{P(R|A_{1})P(A_{1})}{P(R)}=\frac{0.05\times0.50}{0.069}  =0.3623

Thus, the probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

6 0
3 years ago
Which equation can be used to find the length of ? (10)sin(40o) = AC (10)cos(40o) = AC = AC = AC
katovenus [111]
The complete question in the attached figure

we know that

sin40° = opposite side / hypotenuse
opposite side =AC
hypotenuse = AB-------> 10 in
so
sin 40=AC/AB---------> AC=AB*sin 40-------> AC=10*sin 40

the answer is
AC=10*sin 40

5 0
3 years ago
Read 2 more answers
S is inversely proportional to t<br> When s = 0.5, t = 7<br> Work out s when t = 0.8
defon

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

s\propto \dfrac{1}{t}

s=\dfrac{k}{t}       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

0.5=\dfrac{k}{7}

0.5\times 7=k

3.5=k

Putting k=3.5 in (i), we get

s=\dfrac{3.5}{t}

This is the equation of proportionality.

Putting t=0.8, we get

s=\dfrac{3.5}{0.8}

s=4.375&#10;

Therefore, the value of s is 4.375 when t=0.8.

5 0
3 years ago
Help<br> help please please
Ahat [919]

Answer:

1. A

2. C

Step-by-step explanation:

I could be wrong, that's my best guess. Im so sorry if im wrong, have a good day

7 0
3 years ago
To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this senten
seropon [69]

Answer:

1.

Step-by-step explanation:

The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).

7 0
3 years ago
Read 2 more answers
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