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abruzzese [7]
3 years ago
11

Lola is saving money for a new bike. The first month, she saves $50 from her birthday. Lola plans to save $10 per month thereaft

er until she has enough money to buy a bike that costs $100. After how many months will Lola have enough money to buy the bike? How much money does Lola have after the first month?
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0
So this can be translated like the following:
Bike costs= 173 dollars She currently has 107. She saves 11 dollar per week to get the bike so the formula is:
173 = 107 + 11X where X is the number of weeks

Step 1: bring the 107 to the other side to get 173-107 = 11X
Step 2: divide both sides by 11 to solve for X to get this (173-107 )/11 = X
Step 3: Calculate and simplify 66 / 11 = X which is the same as X= 6

So the answer is it will take jennifier 6 weeks to save for the bike.
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24

Step-by-step explanation:

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Is -38/9 rational or irrational
aleksley [76]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College
sineoko [7]

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

5 0
3 years ago
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is
kap26 [50]

Answer:

64 inches or 64 pulgadas

Step-by-step explanation:

The formula for the perimeter of a rhombus is given as:

P = 4a

Where a = side length of the rhombus

From the above question, side length of the rhombus = 16 inches

Hence, Perimeter of the rhombus = 4 × 16 inches

= 64 inches

La fórmula para el perímetro de un rombo se da como:

P = 4a

Donde a = longitud del lado del rombo

De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas

Por lo tanto, perímetro del rombo = 4 × 16 pulgadas

= 64 pulgadas

6 0
2 years ago
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