Answer:
Step-by-step explanation:
The volume of this cylindrical vase is V = πr²h. Substituting 3 in for r and 8 in for h, we get V = π(3 in)²(8 in), or 72π in³.
We'll need to pour 72π in³ of water into the vase.
The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.
<h3>How to determine the graph of the new function?</h3>
First of all, we would determine the slope of the linear function as follows:
Slope, m = ⅔.
Multiplying by -4, the new slope is:
Slope = ⅔ × -4
Slope = -8/3 or 2.7.
For the equation of this line, we have:
y - y₁ = m(x - x₁)
y - 0 = -8/3(x - 3)
y - 0 = -8/3x + 8
y = -8/3x + 8
Decreasing the y-value by 1, we have:
y = -8/3x + 8
y = -8/3x + 8 - 1
y = -8/3x + 7
Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.
Read more on slope here: brainly.com/question/17601248
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Let's solve your equation step-by-step
6v^2+v=40
step 1: subtract 40 from both sides
6v^2+v-40=0
6v^2+v-40=0
Step 2: factor left side of equation
(3v+8)(2v-5)=0
step 3: set factors eqyal to 0
3v+8=0 or 2v-5=0
Answer is v= -8/3 or v= 5/2
Answer:
H is the dependent variable
Step-by-step explanation:
Answer b. The probability that at least 41 of them like to swim is 33%.
Solution:
The probability of an event is always 1 or 100%
The probability of at most 40 of them like to swim is 67% = 0.67
The probability of at most 40 not swimming = 1 - 0.67 = 0.33
Hence the probability of at least 41 people swimming is 33%.
<h3>What is Probability?</h3>
- The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
- An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
- The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.
Learn more about Probability brainly.com/question/24756209
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