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2 years ago

What is the slope of the line that contains the pionts (2,3) (2,-4)

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

6 0

Answer:

There is no slope

Step-by-step explanation:

If the x-coordinates are the same, then that means there's no slope and is a straight vertical line.

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Tom wishes to purchase a property that has been valued at $300,000. He has $30,000 available as a deposit, and will require a mo

Mekhanik [1.2K]

Answer: The total interest paid on the mortgage is $179550

Step-by-step explanation:

The initial cost of the property is $300000. If he deposits $30000, the remaining amount would be

300000 - 30000 = $270000

Since the remaining amount was compounded, we would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 270000

r = 2% = 2/100 = 0.02

n = 12 because it was compounded 12 times in a year.

t = 25 years

Therefore,

A = 270000(1+0.02/12)^12 × 25

A = 270000(1+0.0017)^300

A = 270000(1.0017)^300

A = $449550

The total interest paid on the mortgage is

449550 - 270000 = $179550

3 0

3 years ago

The life times of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 h

Nezavi [6.7K]

Answer:

a. 1200hours

b. σ² = 400² =160000hour

c. standard error = 133.33

d. for 9 lightbulb it is likely that 9*0.146 = 1.31 bulbs will have lives of fewer than 1,050 hours?

Step-by-step explanation:

mean of 1,200 hours

σ, a standard deviation of 400 hours.

Sample size, N = nine bulbs,

a) mean of the sample mean lifetime: is given as 1,200 hours

b) variance of the sample mean is the square of the σ, a standard deviation of 400 hours.

σ² = 400² =160000hours

c) What is the standard error of the sample mean?

The standard deviation of a sampling distribution of mean values is called the standard error of the means,

standard error of the means, σx = σ √N

The formula for the standard error of the means is true for all values infinite number of sample, N.

σx = σ √N

=400 √9 = 400/3 =133.3333

d) the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours

The area under part of a normal probability curve is directly proportional to probability and the value is calculated as

z = ( x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 1050hours

x = mean of 1200hours

σ = standard deviation = 400

applying the formula,

z= (1050-1200)/400

z = 150/400 =0.375

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 0.375 corresponds to an area of 0.1460 between the mean value.

Thus the probability of a lightbulbs having lives of fewer than 1,050 hours is 0.1460.

for 9 lightbulb it is likely that 9*0.146 i.e. 1.31 bulbs will have lives of fewer than 1,050 hours?

8 0

3 years ago

The McCarter family is determining whether they want to buy a summer pass to the local swimming pool. Without a summer pass, the

Rus_ich [418]

Answer:

D. The McCarter's must make more than 10 visits to the pool for the pass to be a better deal.

Step-by-step explanation:

First, I chose the option that seemed most likely. Once I chose D, I plugged in the answer to see if it actually worked.

10 x 7.5 =75 dollars + 50 (pass fee) = 125 dollars total.

10 x 12.5= 125 dollars.

Therefore, in order to get a deal off of the seasonal pass, the McCarter's would have to visit the pool more than 10 times. D.

8 0

3 years ago

Which of the following are important properties of the arithmetic mean? Check all that apply. Multiple select question. The mean

vovikov84 [41]

Answer:

All of the values in the data are used in calculating the mean.

The sum of the deviations is zero.

There is only one mean for a set of data.

Step-by-step explanation:

Required

True statement about arithmetic mean

(a) False

The mean can be equal to, greater than or less than the median

(b) True

The arithmetic mean is the summation of all data divided by the number of data; hence, all values are included.

(c) True

All mean literally represent the distance of each value from the average; so, when each value used in calculating the mean is subtracted from the calculated mean, then the end result is 0. i.e. $\sum(x - \bar x) = 0$

(d) True

The mean value of a distribution is always 1 value. When more values are added to the existing values or some values are removed from the existing values, the mean value will change.

(e) False

Nominal data are not numerical or quantitative data; hence, the mean cannot be calculated.

3 0

3 years ago

An artist can paint

kolezko [41]

Answer:

23,760/12=1980

1980x2=3960

7 0

3 years ago

What is the slope of the line that contains the pionts (2,3) (2,-4)​

What is the slope of the line that contains the pionts (2,3) (2,-4)