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3 years ago

6

Given the following constants for a standard form quadratic equation, determine the nature of its roots. Please wait for photo t

o load.

1 answer:

lisabon 2012 [21]3 years ago

3 0

$ax^2+bx+c=0$
$3x^2+3x+2=0$
$D=b^2-4ac=3^2-4*3*2=9-24=-15$
$D$ , so there are no real solutions.

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The number 0.0002 is 1/10 of

Ratling [72]

Answer:

I think it is 0.002

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2 years ago

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The speed limit on a road in Canada is 70 kilometers per hour. What is this speed in miles per hour? Round your answer to the ne

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Answer:

43 miles/hr

Step-by-step explanation:

Use a conversion factor from km to miles while keeping track of your units:

70 km/hr x 0.62 miles/km = 43 miles/hr

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3 years ago

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t

Angelina_Jolie [31]

Answer:

$P(X = 0) = 0.027$

$P(X = 1) = 0.189$

$P(X = 2) = 0.441$

$P(X = 3)= 0.343$

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each $x \leq n$ , the probability mass function is given by:

$P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}$

In which p is the probability that the event happens.

$pe_{n,x},$ is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

$pe_{n,x} = \frac{n!}{x!}$

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so $n = 3$

The probability that a wafer pass a test is 0.7, so $p = 0.7$

Determine the probability mass function of the number of wafers from a lot that pass the test.

$P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027$

$P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189$

$P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441$

$P(X = 3) = (0.7)^{3} = 0.343$

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3 years ago

Jamie's older brother and his three friends want to split the cost of lunch they also want to leave a 15% tip how much should ea

goldfiish [28.3K]

Answer:
$22.43

Explanation:
We can start by finding the amount that they should tip. The total bill is $78, so we should take 15% of 78 and add it to the total.
0.15 * 78 = 11.7
78 + 11.7 = 89.7
This means that the total cost of the bill, with a tip, is $89.70.
Since there are 4 people, we have to split this total into 4 if they all want to pay equally.
89.70 / 4 = 22.425 = $22.43 !

Hope this helps

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2 years ago

Find the volume of a sphere that has diameter of 9 feet.

jek_recluse [69]

Answer:

V≈381.7ft³

Step-by-step explanation:

try using a sphere calculator next time its a lot easier and saves time

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2 years ago