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2 years ago

The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus

Mathematics

1 answer:

Anastasy [175]2 years ago

4 0

Answer:

145 + 33n

Step-by-step explanation:

Let

n = number of members in the club

Day 1:

Cost = 50 + 18n

Day 2:

Cost = 95 + 15n

Total cost two-day field trip = day 1 + day 2

= (50 + 18n) + (95 + 15n)

= 50 + 18n + 95 + 15n

= 145 + 33n

Total cost two-day field trip = 145 + 33n

An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n

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Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function D(m)=264m. When he w

ratelena [41]

Answer:

B(m)=A(m)-D(m)

B(m)=176m

Step-by-step explanation:

we are given

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function

D(m)=264m

When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function

A(m)=440m

B is the distance, in feet, that Roberto would travel on the moving sidewalk in m minutes if he were standing still

moving sidewalk distance = standstill distance + walking distance

A(m)=D(m)+B(m)

so, we get

B(m)=A(m)-D(m)

now, we can plug values

B(m)=440m-264m

B(m)=176m

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2 years ago

If y-x=4 and x is three times the value of y, what is the value of x + y?

Eduardwww [97]

Answer:

E = 8

Step-by-step explanation:

y - x = 4

y - (3y) = 4

y - 3y = 4

2y = 4

y = 4/2

y = 2

x = 3y

x = 3×2

x = 6

x + y = 2+6

x+y = 8

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1 year ago

Isolate the absolute value expression in the following equations to determine if they can be solved if so find and graph the sol

aev [14]

Answer:

x=-4

Step-by-step explanation:

2(|x+4|+3)=6

take out absolute value

2(x+4+3)=6

remove parrenthesis

2x+8+6=6

Simplify

2x+14=6

-14 -14

2x=-8

x=-4

Hope this helps!!!!!

4 0

2 years ago

Plz help this is timed

LiRa [457]

Answer:

y= 3/2× (-1/2) x=0

Step-by-step explanation:

multiply the equation by both sides by 4/3 and nd then you get 0=x then you swap the sides of the equation x=0 nd your answer is x=0

7 0

2 years ago

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

2 years ago