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Alex
4 years ago
6

Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age

. Which inequality represents Alicia’s possible age?
Mathematics
1 answer:
horsena [70]4 years ago
4 0
Ok, so amy is 8 years older than twice alica's age
if amy=y and alica=x
y=8+2x

and sum is less than 32
y+x<32

we can subsitute 8+2x for y in other equation
8+2x+x<32
8+3x<32
minus 8 both sides
3x<24
divide both sides by 3
x<8


the inequality is x<8
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Describe how the range of a data set can help describe its variability.
katovenus [111]

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

Imagine that you manufacture a type of spare part for cars that must have a measurement of 10 cm with a margin of error of 1 cm.

This is:

10 ± 1 cm

Then you expect your manufacturing process to produce pieces with identical dimensions, that is, with little variability.

If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm <em> low variability</em>

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm   <em>high variability </em>

6 0
3 years ago
Read 2 more answers
Consider a home mortgage of ​$225,000 at a fixed APR of 4.5 ​% for 30 years. a. Calculate the monthly payment. b. Determine the
White raven [17]

<u>The formula for the monthly payment</u>.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1} , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate =\frac{4.5\%}{12}= 0.375\% = 0.00375

Total number of months = (30*12)months=360 months

Also given that, the principal amount is $225000

a.  So, the monthly payment will be.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140

Thus, the monthly payment will be approximately $1140


b. The <u>total amount paid</u> over the term of the loan will be: \$ 1140*360 months = \$ 410400


c.   As the principal amount was $225000 , so the amount of interest = (\$ 410400- \$ 225000)= \$ 185400

So, the percentage of amount that is paid toward the principal =\frac{225000}{410400}*100\% =54.82\%

and the percentage of amount that is paid toward the interest =\frac{185400}{410400}*100\%=45.18\%

4 0
3 years ago
I NEED HELP GIVING POINTS AND BRAINLIEST.
Sonja [21]
The answer is A: 15*
4 0
3 years ago
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There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class. What
Tcecarenko [31]

Answer:

i THINK 43% but im not for sure

Step-by-step explanation:

14% of 50 is 7

so 50-7=43

43(percent there)+7(percent gone)=50 (number of students)

SO 43% is still there.  

SORRY IF IM WRONG have a good night :)

3 0
3 years ago
A cell phone is on sale for $205 after a 20% off discount. What was the original price of the phone?
Leni [432]

Answer:

256.25

Step-by-step explanation:

if you have a 20% discount then you are paying 80% if the original cost.

so 80% of the original price is 205

.80x = 205

x = 205/.80

7 0
3 years ago
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