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Alina [70]
2 years ago
12

Hi, I don't feel very confident about my work in this calculus problem and I would appreciate it if anyone else could note any c

orrections or ways to improve my answers. My problem is split into parts A, B, C, and D and my work is in green. Thank you!

Mathematics
1 answer:
Lostsunrise [7]2 years ago
6 0
You're pretty close. It's all in the details.

A. Correct.

B. Correct.

C. Sign error in the boxed answer. -(-0.5) = 0.5
The graph shows c ≈ 1.855. If a is more than that and decreasing, area is increasing. The sign of dA/dt will be positive. (Compare to D)

D. Units are not shown. Numerical value is correct.

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Find an equation in slope-intercept form for the line with a zero slope and passes through (12, -9). a. x = 12 c. y = 12x - 9 b.
nirvana33 [79]

Answer:

b. y = -9

Step-by-step explanation:

A line with zero slope has no dependence on x. It is simply ...

... y = constant

The constant must be the same as the y-value of the point you want the line to go through. Since the point is (12, -9), the constant is -9 and the equation is ...

... y = -9

3 0
3 years ago
Read 2 more answers
A tree farming company is testing how many items customers purchase during their visits. Based on many results, the (partial) pr
kkurt [141]

Answer:

X probability = 0.02

Cumulative frequency at x ( 6 ) = 1

Step-by-step explanation:

X       P ( X )            Cf ( X )

1        0.58                0.58

2        0.18                0.58 + 0.18 = 0.76

3        0.10                0.76 + 0.10 = 0.86

4        0.07                0.86 + 0.07 = 0.93

5        0.05                0.93 + 0.05 = 0.98

6        0.02                0.98 + 0.02 = 1

4 0
2 years ago
Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each
arlik [135]

Answer:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want to find this probability:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

5 0
3 years ago
Which system of equations can be used to find the roots of the equation 4x^2=x^3+2x?
irina [24]
Next time, please share the answer choices.
Starting from scratch, it's possible to find the roots:

<span>4x^2=x^3+2x should be rearranged in descending order by powers of x:

x^3 - 4x^2 + 2x = 0.  Factoring out x:  </span>x(x^2 - 4x + 2) = 0

Clearly, one root is 0.  We must now find the roots of (x^2 - 4x + 2):

Here we could learn a lot by graphing.  The graph of y = x^2 - 4x + 2 never touches the x-axis, which tells us that (x^2 - 4x + 2) = 0 has no real roots other than x=0.  You could also apply the quadratic formula here; if you do, you'll find that the discriminant is negative, meaning that you have two complex, unequal roots.
5 0
2 years ago
Read 2 more answers
The expression 36 ÷ 6 • 2 + 1 is equal to _____.<br><br> 2<br> 4<br> 13<br> 18
NeTakaya

Answer:

Step-by-step explanation:

36/6 · 2 + 1

6 ·2 + 1

12 + 1 = 13

answer is 13

7 0
3 years ago
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