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3 years ago

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true

1 answer:

5 0

- I think it's possibly this "The figure must be a square because the diagonals of a square bisect the right angles." but there's also "The figure must be a rhombus because it has exactly 2 pairs of congruent angles." buuut since the first one seems more better i'm assuming then that's probably the right answer.

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A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,

Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

$P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017$

Probability of a defective item being produced on the first shift:

1% of 50%. So

$P(A \cap B) = 0.01*0.5 = 0.005$

What is the probability that it was manufactured during the first shift?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941$

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0

3 years ago

Help solve<br> 1/2(X-34)=28+5X

IrinaK [193]

Answer:

x= -10 and true

Step-by-step explanation:

if you plug -10 in for x you get -22=-22 which makes it true

6 0

3 years ago

Read 2 more answers

Do you guys know how to solve with equation?

AlexFokin [52]

Answer:

{-8, 3/4}

Step-by-step explanation:

One by one, set the factors equal to zero and solve for v:

8 + v = 0 yields v = -8, and

4v - 3 = 0 yields 4v = 3 and v = 3/4

5 0

2 years ago

Read 2 more answers

A college student only saves quarters and dimes in her piggy bank. She empties out her piggy bank at the end of each month. Thi

Nadusha1986 [10]

For this case, the first thing we must do is define variables:
x = number of quarters
y = number of dimes
We now write the system of equations:
x + y = 28
0.25x + 0.10y = 4.05
Solving the system of equations we have:
x = 8.33
y = 19.66
Rounding:
x = 8
y = 20
Answer:
the college student has:
8 quarters
20 dimes

8 0

3 years ago

5/3(6x+3)<2x-7 what is the solution for the iniquality

leva [86]

Isolate "x" onto one side:

5/3 * (6x+3) < 2x - 7

5(6x+3) < 3(2x-7)

30x + 15 < 6x - 21

24x < -36

x < -1.5

8 0

3 years ago