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3 years ago

Given y < 4x – 6, explain how to graph this and decide whether or not (– 1, 5) is a solution to this inequality

Mathematics

1 answer:

svp [43]3 years ago

4 0

the point (-1,5 ) is NOT a solution to the inequality.

There are three steps in graphing an inequality:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Now to solve this, graph the line y=4x-6

Lets use the point (0,0)

0<-6, is NOT true

So we shade everything to the left of the line y=4x-6

Hope that helped.

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ddd [48]

Answer:

C. A square is a rhombus

Step-by-step explanation:

A square fulfills all the requirements to become a rhombus:

A. All sides being equal.

B. The diagonals bisected at an angle of 90 degrees

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3 years ago

A manufacturer of tablets receives its LED screens from three different suppliers, 45% from supplier B1, 30% from supplier B2, a

Shalnov [3]

Answer:

a) 0.83 = 83% probability that a LED screen will meet specifications.

b) 0.2892 = 28.92% probability that a LED screen that meets specifications was sent by the second supplier.

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.

45% from supplier B1, 30% from supplier B2, and the rest from supplier B3.

So 100 - (45 + 30) = 100 - 75 = 25% from supplier B3.

a) Find the probability that a LED screen will meet specifications.

95% of 45%(supplier B1)

80% of 30%(supplier B2)

65% of 25%(supplier B3). So

$p = 0.95*0.45 + 0.8*0.3 + 0.65*0.25 = 0.83$

0.83 = 83% probability that a LED screen will meet specifications.

b) Calculate the probability that a LED screen that meets specifications was sent by the second supplier.

Conditional probability.

Event A: Meets specifications.

Event B: Sent by second supplier.

0.83 = 83% probability that a LED screen will meet specifications.

This means that $P(A) = 0.83$

Meets specifications and is sent by the second supplier.

80% of 30%, so

$P(A \cap B) = 0.8*0.3 = 0.24$

Probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.24}{0.83} = 0.2892$

0.2892 = 28.92% probability that a LED screen that meets specifications was sent by the second supplier.

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3 years ago

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4pi units. The base of cylinder B has an

Wittaler [7]

Answer:

d) 9/4

Step-by-step explanation:

Explanation:-

Given circumference of cylinder A = π r² = 4π units

Given circumference of cylinder B = π r² = 9π units

The dimensions of cylinder A are multiplied by $\frac{9}{4}$

circumference of cylinder A = π r² = 4π( $\frac{9}{4})$ units = 9 π units

circumference cylinder A= 4π( $\frac{9}{4})$ units = 9 π units = circumference of cylinder B

Final answer:-

The dimensions of cylinder A are multiplied by 9/4 produce the corresponding dimensions of cylinder B

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4 years ago

Tim earns $280 every week in his paycheck. If he saves 10% of each

Alex73 [517]

Answer:

336

Step-by-step explanation:

10 times 280 over 100 equals 28 time 12 equals 336

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