Match each item with the correct statement below. (4 KU)

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

1. F

2. G

3. H

4. E

5. C

6. B

7. A

8. D

Step-by-step explanation:

1. For a horizontal line, this is zero. F. Slope

2. These lines have the same slope. G Parallel Lines

3. These lines meet at 90°. H Perpendicular Lines

4. This is where two lines meet. E. Point of Intersection

5. For the line 3 2 6 x y   , this is −3. C. Y-intercept

6. The numbers 10 and 1 /10 are examples. B Reciprocals

7. This is the name for an equation of a line in the form Ax By C    0. A. Standard Form

8. For a vertical line, the value of x is constant and equal to this D. x-intercept

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DerKrebs [107]

Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

8 0

3 years ago

A landscaper is creating a rectangular flower bed such that the width is half of the length.The area of the flower that is 34 ft

Leviafan [203]

The Area is $A=l * w$ and we know that $w=\frac{l}{2}$

Therefore: $34=l * \frac{l}{2} = \frac{l^{2}}{2}$
$68=l^{2}$
$\sqrt{68}=l=8.246$
and thus:
$w=\frac{8.246}{2}$
$w=4.123$
round to nearest tenth:
$w=4.1feet$