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3 years ago

11

Your class is planning a trip to Science East . The school will have to pay $250 for the bus and $3per student.Write an equation

to represent the total cost .

1 answer:

Lisa [10]3 years ago

3 0

Answer: 250+3x

Step-by-step explanation: 250 for the bus and the students is $3 each so the students could be x.

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According to Gallup’s annual poll on personal finances, while most U.S. workers reported living comfortably now, many expected a

tester [92]

Answer:

- The required percentage to 4 d.p. = 59.5126%

- The required percentage in decimal point to 4 d.p. = 0.5951

Step-by-step explanation:

Proportion that said they have enough money to live comfortably now and expected to do so in the future = 55% = 0.55

Sample size = n = 200

The Central Limit Theorem ensures that we can say that:

1) The sample proportion is equal to the population proportion.

p = μₓ = μ = 0.55

2) Standard Deviation of the sampling distribution = σₓ = √[p(1-p)/n] = √(0.55×0.45/200) = 0.0352

3) We can say that the sample distribution approximates a normal distribution especially when

np > 5 and nq > 5 (which is true for this sample size)

The probability is 90% that less than what sample percentage will say they expect to live comfortably

To find this sample percentage, let that that sample percentage be x' and its z-score be z'

z' = (x' - μ)/σₓ

But we are told that

P(z < z') = 90% = 0.90

Using the normal distribution table

z' = 1.282

1.282 = (x' - 0.55)/0.0352

x' = 0.55 + (0.0352×1.282) = 0.5951264

Hence, the required sample percentage = 59.5126% to 4 d.p.

Hope this Helps!!!

7 0

3 years ago

On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the perc

Law Incorporation [45]

Answer:

28%

Step-by-step explanation:

percent change in the number of bird droppings = increase in splatters / splatters counted on Monday x 100

$\frac{21}{75}$ x 100 = 28%

3 0

3 years ago

What are the first three common multiples of 8 and 12

Nata [24]

Answer:

24, 48, 72

Step-by-step explanation:

Common Multiples of 8: 8,16,24,32,40,48,56,64,72,80….

Common Multiples of 12: 12,24,36,48,60,72,………..

Hence the First 3 Least common multiple of 8 and 12= 24, 48, 72

7 0

3 years ago

The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo

Kaylis [27]

The rule for g(x) is: $f(x) = (x-3)^2-3$

Step-by-step explanation:

Given function is:

$f(x) = x^2$

When a function f(x) is shifted right or left, b units the new function is written as:

$f(x) = x$

Shifting right

$g(x) = f(x-b)$

Shifting left

$g(x) = f(x+b)$

Similarly, when shifting up or down

$g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down$

As our given function is shifted 3 units to the right, it will be written as:

$f(x) = (x-3)^2$

The function is when moved down 3 units, then

$f(x) = (x-3)^2-3$

Hence

The rule for g(x) is: $f(x) = (x-3)^2-3$

Keywords: Function transformation, Functions

Learn more about functions at:

#LearnwithBrainly

5 0

3 years ago

When performing tests involving two or more populations it is important to specify which population is population 1 and which is

iris [78.8K]

Answer:

a. True

Explain:

3 0

3 years ago