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3 years ago

Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.

Mathematics

1 answer:

vovikov84 [41]3 years ago

7 0

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

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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

Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.

Scrat [10]

Answer:

A. $Z=2.06$

Step-by-step explanation:

We want to find the Z-score of $X=27$ if the population mean is $\mu=20$ ,and the population standard deviation is $\sigma=3.4$ .

We use the formula:

$Z=\frac{X-\mu}{\sigma}$

We substitute the values to obtain:

$Z=\frac{27-20}{3.4}$

$Z=\frac{7}{3.4}$

$Z=2.06$

The correct answer is A.

7 0

3 years ago

Which expression shows 2x² + 18 factored completely

Lerok [7]

Answer:

2(x^2+9)

Step-by-step explanation:

2x^2 +18

Factor out a 2

2(x^2+9)

3 0

3 years ago

In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while

I am Lyosha [343]

Answer:

See Below.

Step-by-step explanation:

We are given that:

$\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE$

By vertical angles:

$\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB$

Hence, by substitution:

$\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB$

Then by Angle-Angle Similarity:

$\Delta ABC \sim \Delta GEF$

8 0

3 years ago

X + 2 + x = 22 I need to show my work. Please help. No false answers please.

Minchanka [31]

2x + 2 = 22
2x = 20
X = 10

3 0

3 years ago

Read 2 more answers