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zalisa [80]
3 years ago
11

What is scientific notation (9.45 x 10^10) (1.5 x 10^6)

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0
divide 33 photos into two groups so the ratios 4 to 7
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A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that ar
zhenek [66]

Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a Pr = \frac{2}{110}

b Pr = \frac{72}{110}

Step-by-step explanation:

Given

n = 11 --- hammers

r = 2 --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

Pr = P(D) * P(D)

Pr = \frac{2}{11} * \frac{2-1}{11-1}

Pr = \frac{2}{11} * \frac{1}{10}

Pr = \frac{2}{110}

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

P(D') = \frac{9}{11}

For two selections, the probability that all are not defective is:

Pr = P(D') * P(D')

Pr = \frac{9}{11} * \frac{9-1}{11-1}

Pr = \frac{9}{11} * \frac{8}{10}

Pr = \frac{72}{110}

8 0
2 years ago
PLEASE HELP! I’m struggling with each part any help will be amazing
Vlad [161]

Answer:

<u>slope:</u> -5/2

<u>y-intercept</u>: (0, 2)

<u>Linear function</u>: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let  (x1, y1) =  (-2, 7)

      (x2, y2) =  (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the  slope of the line in reduced form is m = -5/2.

The y-intercept is the <u>y-coordinate</u> of the point (0, <em>b</em>) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

Please mark my answers as the Brainliest, if you find this helpful :)

5 0
2 years ago
The wall below is 90% covered with graffiti. The entire wall is 228 ft2. How much square footage does the graffiti cover?
Rama09 [41]
205.2 square feet

Convert 90% to a decimal. You get .9 Multiply 228 by .9 to find what 90% of 228 is. You should get 205.2.
6 0
3 years ago
A ladder is leaning up against the side of a house. Use two points
Natali [406]

Answer:

The slope is 2.

Step-by-step explanation:

Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.

4 0
2 years ago
Liz simplified the expression 5x - 3(4 - x) and got 2x -12. Did she simplify the expression correctly? Explain how you know.
Orlov [11]

Answer:

Step-by-step explanation:

Incorrect. She forgot to change the sign while distributing.

5x - 3(4-x) = 5x - 12 + 3x = 8x - 12

5 0
3 years ago
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