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4 years ago

10

Solve using quadratic formula.

xFormula1" title="4 {s}^{2} + 8s + 4 = 0" alt="4 {s}^{2} + 8s + 4 = 0" align="absmiddle" class="latex-formula">

1 answer:

lianna [129]4 years ago

3 0

S = - 1
Hope this help!

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Which ordered pairs make both inequalities true?

Arlecino [84]

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

7 0

4 years ago

A particular electronic component is produced at two plants for an electronics manufacturer. Plant A produces 70% of the compone

Vesna [10]

Answer:

If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.

Step-by-step explanation:

We use the Bayes Theorem to solve this question.

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Defective component

Event B: Produced at plant A.

Plant A produces 70% of the components used

This means that $P(B) = 0.7$

Among the components produced at plant A, the proportion of defective components is 1%.

This means that $P(A|B) = 0.01$

Probability of a defective component:

1% of 70%(defective at plant A)

2% of 100 - 70 = 30%(defective at plant B). So

$P(A) = 0.01*0.7 + 0.02*0.3 = 0.013$

If a component received by the manufacturer is defective, the probability that it was produced at plant A is

$P(B|A) = \frac{0.7*0.01}{0.013} = 0.5385$

If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.

4 0

3 years ago

Find the lateral area of a cylinder whose radius is 6 cm and height is 20 cm.

zaharov [31]

The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.

On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.

S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2

The lateral area of the cylinder is 240<span>π cm^2 or in other words letter B from the given choices.</span>

7 0

3 years ago

Read 2 more answers

Can I get some help with this? Thanks

iris [78.8K]

Step-by-step explanation:

first you need to know that angle 4 and angle d are the same measurement. so then you have to notice that a straight line is equal to 180 degrees. by knowing this you can make this equation

x+30+ 2x +15= 180

next combine like terms:

3x+ 45=180

next subtract 45 from both sides

3x=135

next divide by 3 on both sides to get x alone. this will give you your answer.

x=45

once you know this plug 45 into you equation to do d the value of the angle 4

5 0

3 years ago

In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side

V125BC [204]

Answer:

AB is shortest side

Step-by-step explanation:

According to given question circuit represented as,

From the images

$cos 30^0=\frac{BC}{38} \\0.86=\frac{BC}{38} \\BC=32.68 cm$

Now,

$sin 30^0=\frac{AB}{38} \\0.5=\frac{AB}{38} \\AB=19 cm$

Therefore, AB is shortest side

8 0

3 years ago