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3 years ago

These marbles are placed in a bag and two

Mathematics

1 answer:

Anastaziya [24]3 years ago

8 0

Answer:

2/9

Step-by-step explanation:

For the first draw:

We have,

Number of blue marbles (B)= 5

Total number of marbles (N)= 10

Probability of drawing a blue marble in first

draw [P(B)] = B/N

=5/10

=1/2

For the second draw when the initially drawn blue marble is not placed back in the bag:

We have,

Number of blue marbles (b) = 4

Total number of marbles (n) = 9

Probability of drawing a blue marble in the second draw [P(b)] = b/n

= 4/9

Finally,

Probability of drawing two blue marbles

[P(Bb)] = [P(B)] * [P(b)]

= 1/2 * 4/9

=2/9

Therefore, [P(Bb)] = 2/9

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First blank 4 —> (4,7)
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Suppose that you collect data for 15 samples of 30 units each, and find that on average, 2.5 percent of the products are defecti

Korvikt [17]

Answer:

The UCL is $UCL = 0.054$

The LCL is $LCL \approx 0$

Step-by-step explanation:

From the question we are told that

The quantity of each sample is n = 30

The average of defective products is $p = 0.025$

Now the upper control limit [UCL] is mathematically represented as

$UCL = p + 3 \sqrt{\frac{p(1-p)}{n} }$

substituting values

$UCL = 0.025 + 3 \sqrt{\frac{0.025 (1-0.025)}{30} }$

$UCL = 0.054$

The upper control limit (LCL) is mathematically represented as

$LCL = p - 3 \sqrt{\frac{p(1-p)}{n} }$

substituting values

$LCL = 0.025 - 3 \sqrt{\frac{0.025 (1-0.025)}{30} }$

$LCL = -0.004$

$LCL \approx 0$

8 0

3 years ago

Mark for Review

ioda

Answer:

12 seconds

Step-by-step explanation:

Given

$y = -2.5x + 30$

Required

Determine the time taken to reach the ground

For the paper to reach the ground, y = 0

So, we have:

$y = -2.5x + 30$

$0 = -2.5x + 30$

Collect Like Terms

$2.5x +0 = 30$

$2.5x = 30$

Divide through by 2.5

$2.5x/2.5 = 30/2.5$

$x = 30/2.5$

$x = 12$

<em>Hence:</em>

<em>Time taken is 12 seconds</em>

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4 years ago

Laura jog around the soccer field that 80m by 120m.how many yards does she goes around the field two times?

exis [7]

A rectangle has two couples of equal sides, so a soccer fields has two 80-meters sides and two 120-meters sides.

This leads to a perimeter of

$120+120+80+80=400 \text{ m}$

If you go around it twice, you'll run 800 meters

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4 years ago

What is the answer to 5(1 + 5n)

mario62 [17]

Answer: 5 + 25n

Explanation: Let's simplify this problem using the distributive property.

In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.

So we have 5(1) + 5(5n) which simplifies to 5 + 25n.

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3 years ago