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VashaNatasha [74]
2 years ago
10

Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures

it and then uses the following function equation to predict the estimated height of the suspect: y =1.19x+56 where x represents a woman’s shoe size and y represents the estimated likely height of the woman in inches. a. Using a calculator, determine an ordered pair that is a solution to this function. b. Interpret your solution in the context of this problem, using one or more complete sentences. Use the information given in the problem when describing the values of your input and output. 58
Mathematics
1 answer:
madam [21]2 years ago
7 0

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

Guest
1 year ago
Why did you put 7 for x
Guest
1 year ago
Why did you put 7 for x?
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Sarah kept track of the points she scored during her first five basketball games in the table shown.
grandymaker [24]

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

4 0
2 years ago
Nadia bought boxes of o-shaped cereal at the grocery store. The line plot below shows the different amounts of boxed cereal Nadi
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2 years ago
sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
andre [41]

Answer:

the value of the investment after 3 years=  £11,904

Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

number of years = 3

Formula for simple interest

I = P*n* r

P is the initial amount invested= 9600

r is the rate of interest = 8% = 0.08

n = number of years = 3

Now we find interest using formula

I = 9600 * 0.08 * 3= 2304

Interest amount is 2,304

Now we add the interest with the initial amount to get the value of investment after 3 years

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6 0
2 years ago
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i
kap26 [50]

Answer:

The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

  1329                    2268

  1906                    1965

 2426                     1149

  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01

Compute the <em>z</em>-score for the group "25 to 34" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37

Compute the mean and standard deviation for the group "45 to 54" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39

Compute the <em>z</em>-score for the group "45 to 54" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25

Thus, the <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

8 0
2 years ago
Match the values associated with this data set to their correct descriptions
nordsb [41]
Put the numbers in order
6,7,15,36,41,43,47,49

Q1 = (7 + 15) / 2 = 22/2 = 11 <== first quartile
Q2 = (36 + 41) / 2 = 77/2 = 38.5 <== median
Q3 = (43 + 47) / 2 = 90/2 = 45 <== third quartile

difference of largest value and median.....(49 - 38.5) = 10.5
5 0
2 years ago
Read 2 more answers
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