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xenn [34]
4 years ago
9

A light bulb manufacturer knows that 0.07% of all bulbs manufactured are defective. A testing machine is 98% effective. If a ran

domly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
Mathematics
1 answer:
victus00 [196]4 years ago
8 0
 <span>P[ actually defective & shown as defective] = 98% of 0.08% = 0.0784% 
P[ok & shown as defective] = 2% of 99.92% = 1.9984% 

P[actually defective | shown as defective] = 0.0784/(0.0784+1.9984) = 3.775% <-------</span>
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Help im stuck haveing such a bad time understanding this
asambeis [7]
The answer would be 12 to the -10 because with multiplication you you add the -4 and -6
6 0
3 years ago
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Which expression is equivalent to -9a-10-6a+7−9a−10−6a+7
Gwar [14]

Answer:

−30a−6

Step-by-step explanation:

Let's simplify step-by-step.

−9a−10−6a+7−9a−10−6a+7

=−9a+−10+−6a+7+−9a+−10+−6a+7

Combine Like Terms:

=−9a+−10+−6a+7+−9a+−10+−6a+7

=(−9a+−6a+−9a+−6a)+(−10+7+−10+7)

=−30a+−6

BRAINLIEST. if you don't mind.

6 0
3 years ago
In the diagram, what is mAngleVSR?
katovenus [111]

The  mAngleVSR   m Angle VSR  is  mathematically given as

\theta= 80°

This is further explained below.

<h3>What is mAngleVSR?</h3>

Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.

The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore

m∠VSU = m∠RST = 100°

m∠RSV = m∠UST

In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som

m∠RSV = 180° - m∠VSU =180° - 100° = 80°

Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).

Read more about angles

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3 0
1 year ago
Carol wants to build a fence around her
yaroslaw [1]

Answer:

540$

Step-by-step explanation:

9x9 = 81

9 + 9 + 9 + 9 = 36

36 x 15 =540

5 0
3 years ago
If cos(x) = Three-fourths and tan(x) &lt; 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
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