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2 years ago

A city planning

Mathematics

1 answer:

NNADVOKAT [17]2 years ago

8 0

Answer: Yes, because the total height will be 185 ft, which is less than the 310 ft limit.

Step-by-step explanation:

$20+(15)(11)=185 < 310$

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Decide whether each table could represent a proportional relationship. If the

Ymorist [56]

Answer:

Step-by-step explanation:

If given tables in the picture show the proportional relationship,

Number of wheels (w) ∝ Number of buses (b)

w ∝ b

w = kb

Here, k = proportionality constant

k = $\frac{w}{b}$

Number of buses (b) Number wheels (w) Wheels per bus $(\frac{w}{b})$

5 30 $\frac{30}{5}=6$

8 48 $\frac{48}{8}=6$

10 60 $\frac{60}{10}=6$

15 90 $\frac{90}{15}=6$

Here, proportionality constant is 6.

Similarly, If number of wheels (w) ∝ Number of train cars (t)

w = kt

Here, k = proportionality constant

k = $\frac{w}{t}$

Number of train cars(t) Number of wheels(w) Wheels per train car ( $\frac{w}{t}$ )

20 184 $\frac{184}{20}=9.2$

30 264 $\frac{264}{30}=8.8$

40 344 $\frac{344}{40}=8.6$

50 424 $\frac{424}{50}=8.48$

Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.

5 0

3 years ago

Find the product (4x-3) (3x+8)

m_a_m_a [10]

Hi there!

Assuming "Find the product" means multiplying (4x-3) by (3x+8) and factor to it's simplest form the answer would be:

12x²+23x-24

The way you solve this is by using the distributive property of multiplication as shown below:

Start by multiplying -3 from (4x-3) by everything in (3x+8)

3x*(-3) = -9x

8*(-3) = -24

Once you've done that you then multiply everything 4x

4x*8 = 32x

4x*3x = 12x²

(Note: when multiplying two of the same variables like x it means you are multiplying x by itself which is the same as x²)

When you put all of this together it looks like this

12x²+32x-9x-24

from there we combine like terms

32x-9x = 23x

to get

12x²+23x-24

I hope this helps!

God bless,

ASIAX

4 0

2 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

ollegr [7]

Use the PMF for the given distribution:

$P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}$

Then the probability that X = 14 is

$P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}$

6 0

2 years ago

Here's yet another coordinates problem! Please solve ASAP if you can. Thank you all very much! :)

Olegator [25]

(0,0) is the cost of 0 bags of peanuts. This is because the x-axis is labeled "Bags of Peanuts", and an x-value of 0 implies 0 bags of peanuts.

7 0

3 years ago

Use the diagram to complete the proof by filling in the blanks. Picture is attached

galben [10]

Answer:

Step-by-step explanation:

From the question attached,

Given:

RT and PQ intersect at a point S.

RS = PS and ST = SQ

To prove :

RT = PQ

Statements Reasons

1). RS = PS and ST = SQ 1). Given

2). RS + ST = PS + SQ 2). Addition property

3). RS + ST = RT ; PS + SQ = PQ 3). Pair of line segments

4). RT = PQ 4). Substitution property

7 0

3 years ago