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2 years ago

Select the correct answer.

Mathematics

2 answers:

igor_vitrenko [27]2 years ago

7 0

Answer:

Step-by-step explanation:

CPI stands for Consumer Price Index, which is the measure of average prices to goods and services.

So, in this case, we have to find the average price for the given basket in year 2.

We know that in year 2, a toothbrush tube costs $1.25 and a tube of toothpaste costs $2.10. If we have 5 toothbrushes and 2 tubes of toothpaste, the total cost would be

$5 \ toothbrushes=5(\$1.25)=\$6.25\\2 \ toothpaste \ tubes=2(\$2.10)=\$4.20$

Now, the CPI would be the sum of these costs

$CPI = \$6.25 + \$4.20=\$10.45$

Therefore, the Consume Price Index for this basket of goods is

B. $\$10.45$

kiruha [24]2 years ago

7 0

Answer:

Step-by-step explanation:

To calculate CPI, or Consumer Price Index, add together a sampling of product prices from a previous year. Then, add together the current prices of the same products. Divide the total of current prices by the old prices, then multiply the result by 100.

Year 1 = $9

Year 2 = $10.45

$10.45 divided by $9.00 = 1.6111

1.61 x 100 = 116.11

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The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?

inna [77]

Answer:

£160

Step-by-step explanation:

£160 times 0.6 equals £96

since £96 is 60% of the original price since 40% was taken off

3 0

2 years ago

It is 1 1/4 miles from Ahmed’s house to school. How far does Ahmed’s travel in 5 days walking to school and back

Sauron [17]

Ahmed travel $12\frac{1}{2}$ miles in 5 days walking to school and back.

Step-by-step explanation:

Distance from house to school = $1\frac{1}{4}$ miles

Distance from school to house = $1\frac{1}{4}$ miles

Total distance in 1 day = $1\frac{1}{4}+1\frac{1}{4}=\frac{5}{4}+\frac{5}{4}$

Total distance in 1 day = $\frac{5+5}{4}=\frac{10}{4}$

Distance traveled in 5 days = $5*\frac{10}{4}=\frac{50}{4}$

Distance traveled in 5 days = $\frac{25}{2}=12\frac{1}{2}$

Ahmed travel $12\frac{1}{2}$ miles in 5 days walking to school and back.

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

5 0

2 years ago

Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Z

Savatey [412]

Complete question is;

Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far

she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.

Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.

Assume Zac and Lynn continue to travel at the same constant rates and make no stops.

Determine the solution of the system of linear equations.

Answer:

Zac: y = 55a

Lynn: y = 60(a - ½)

6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.

Step-by-step explanation:

Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;

zac's speed = 123.75/2.25 = 55 mi/hr

Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;

Lynn's speed = 105/1.75 = 60 mi/hr

Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.

Thus;

a hours after Zac started travelling, his distance covered will be;

Zac: y = 55a

Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.

Thus, Lynn's distance traveled after Zac started = 60(a - ½)

Lynn: y = 60(a - ½)

The solution will be when they have travelled equal distances a hours after Zac started. Thus;

55a = 60(a - ½)

55a = 60a - 30

60a - 55a = 30

5a = 30

a = 30/5

a = 6 hours

Putting 6 for a in y = 55a, we have;

y = 55 × 6

y = 330 miles

5 0

2 years ago

The number of tickets issued by a meter reader for parking-meterviolations can be modeled by a Poisson process with a rateparame

Doss [256]

Answer:

Step-by-step explanation:

Let X be the number of tickets issued by a meter reader for parking-meterviolations can be modeled by a Poisson process with a rateparameter of five per hour.

X is Poisson with parameter =5per hour

a) the probabilitythat exactly three tickets are given out during a particular hour

= $P(X=3)=0.14037$

b) the probabilitythat at least three tickets are given out during a particularhour

= $P(X\geq 3) =0.87534$

c) tickets we expect to be given during a 45-min period

= $5(\frac{3}{4} )\\= 3.75$

Note: Poisson distribution is

$P(X=k) = \frac{e^{-k} 5^k}{l!}$

3 0

2 years ago

A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a stud

GalinKa [24]

First of all, this is not an observational study, but an experiment, since we have two groups and one of the two groups is manipulated or treated. In an observational study the subjects are only observed.

Second, the students did not choose their groups - so we can't choose the last answer.

Therefore the correct answer is:
This is an experiment because a treatment was applied to a group.

4 0

2 years ago