Hey there,
The equation for the volume of a cylinder is V = πr²h.
The first step into finding the radius is to plug in what you already know into the equation:
We divide both sides by 5:
Now we divide both sides by π:
Finally we just do the square root of 49.0197224723:
The radius therefore would be about 7cm.
Hope I helped,
Amna
Alright, so the sum of two days is going to equal zero.
The variable here is what Jesse got on the first day. Let's call it "x".
x-6=0
x is the first day's score, -6 is the second day's score, and the total score is zero.
Now, add 6 to both sides.
x-6=0
+6 +6
x=6
Jesse's score for the first day was (+)6.
- A function that models the data is given by this quadratic equation, y = -0.4908x² + 5.8845x + 1.3572.
- The number of students that are absent 10 days after the outbreak is equal to 11 students.
<h3>What is a scatter plot?</h3>
A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
<h3>What is a quadratic function?</h3>
A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the quadratic function is given by:
y = -0.4908x² + 5.8845x + 1.3572
For the number of students that are absent 10 days after the outbreak, we have:
y = -0.4908(10)² + 5.8845(10) + 1.3572
y = -0.4908(100) + 58.845 + 1.3572
y = -49.08 + 58.845 + 1.3572
Number of students, y = 11.12 ≈ 11 students.
Read more on scatterplot here: brainly.com/question/6592115
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Option D, For a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).
<h3>
What is standard normal distribution?</h3>
A standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.
For a standard normal distribution, the total area of a curve is always equal to 1.
total area = P(z≤-a)+P(-a≤z≤a)+P(Z≥a) = 1
Thus, for a standard normal distribution, the expression that is always equal to 1 is P(z ≤ -a) + P(-a≤z≤a) + P(Z≥a).
Learn more about standard normal distribution here: brainly.com/question/4079902
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Answer:
22.5
Step-by-step explanation:
the formula is A=a+b
2h