The second one is not an equation.<span />
Select the correct answer.
2 answers:
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The second one is not an equation.<span />
Answer:
The quadratic equation is:
Step-by-step explanation:
If the roots of the quadratic equation are "-6" and "6", then it must have the following factors:
Therefore, we can write the equation in factor form as:
where a is a real number constant factor. Now, this equation in standard form will look like:
Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant factor must be "1". The final expression for the quadratic becomes:
Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is <em>11.34g/cm³</em>
From the question, the weight/mass of the lead ball is <em>326g</em>
Substitute these values into equation (i) as follows;
11.34 =
V =
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [V = volume, r = radius]
V = 28.75cm³
=> 28.75 =
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth
Complete Question:
The complete question is shown on the first uploaded image
Answer:
The probability that the random you randomly select species that are greater than 200 kg is = 7/62
Step-by-step explanation:
Step One: Load the data set in to the R work space
data(mammals,package="MASS")
attach(mammals)
Step 2 : Obtain the list of the species that are greater than 200 and store it on y variable.
y <- subset(mammals,body>200)
Step Three : Obtain the total size
nrow(mammals)
Step Four : Obtain the sum of species greater than 200
sum(body > 200)
total size = 62
size with body > 200 = 7
hence
required probability = 7/62
