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2 years ago

8

a family of two adults and four children is going to and an amusement park. admission is 421.75 for adults and $15.25 for childr

en. what is the total cost of the family's admission

1 answer:

MAXImum [283]2 years ago

7 0

421.75
2
_____
843.50
+

15.25
4
____
61.00

843.50
+ 61.00
_______
904.50

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Toni decided to build a rectangular concrete patio 6 feet wide all around her pool.

antoniya [11.8K]

Answer:

648

Step-by-step explanation:

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3 years ago

What number needs to be subtracted from both sides of the equation 40 = 25 + x in order to isolate the variable and solve for x?

SOVA2 [1]

Answer:

x = 15

Step-by-step explanation:

As given, the equation 40 = 25 + x

As on the R.H.S of the equation, there is one constant and a variable x

As to isolate the variable we have to subtract the same constant so that that constant gives 0.

As we have the constant value 25

So, subtract 25 from both side of the equation, we get

40 - 25 = 25 + x - 25

⇒15 = x

∴ we get

x = 15

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2 years ago

What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a

choli [55]

Answer:

The answers to the question above are given below:

Step-by-step explanation:

Question: What is a discrete probability distribution?

<u>Answer</u>

A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.

<u>Question:</u> Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above

The correct answer is: option B "discrete probability distribution lists each possible value a random variable can assume, together with its probability."

Question: What are the two conditions that determine a probability distribution?

<u>The correct answer is</u>:

1. Since each value may not be zero, each probability must include between 0 and 1.

2. When probabilities are totaled, it must give 1.

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3 years ago

For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?

Bond [772]

Given that $r=\theta$ , then $r'=1$

The slope of a tangent line in the polar coordinate is given by:

$m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}$

Thus, we have:

$m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}$

Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

$\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta$

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488

Part B:

For vertical tangent lines, $\frac{1}{m} =0$

Thus, we have:

$\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta$

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

</span>θ = <span>4.91718592528713</span>

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3 years ago

What is the surface area of this<br> rectangular prism?

tatuchka [14]

Answer:

290 in^2

Step-by-step explanation:

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2 years ago