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olga_2 [115]
3 years ago
13

A department store sold 34 shirts one day. All short-sleeved shirts cost $11.00 each and all long-sleeved shirts cost $21.00 eac

h. Total receipts for the day were $514.00. How many of each kind of shirt were sold?
Mathematics
1 answer:
ANEK [815]3 years ago
5 0
S + l. = 34
11s + 21l= 514

-11s - 11l= -374
11s + 21l = 514

10l = 140

l = 20 long sleeve shirts

s + 20 = 34

s = 14 short sleet shirts
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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
Margaret [11]

Answer:

ALISSA

Step-by-step explanation:

Given the following scores :

NICO:

Score (x) = 81.6

Mean (m) = 72.6

Standard deviation (sd) = 15

EMILIO:

Score (x) = 225.3

Mean (m) = 205

Standard deviation (sd) = 29

ALISSA:

Score (x) = 8.08

Mean (m) = 7.2

Standard deviation (sd) = 0.4

STANDARDIZING THE DIFFERENT APTITUDE TEST SCORES:

OBTAINING THE ZSCORES :

Zscore = (x - mean) / standard deviation

NICO:

Zscore = (81.6 - 72.6) / 15

Zscore = 0.6

EMILIO:

Zscore = (225.3 - 205) / 29

Zscore = 0.7

ALISSA:

Zscore = (8.08 - 7.2) / 0.4

Zscore = 2.2

From the result of the Zscore, the best fit for the position is ALISSA

8 0
3 years ago
Write an equation of the line that passes through a pair of points:
vredina [299]

Answer:

b)

The  equation of the line that passes through a pair of points

   y  = \frac{-1}{8}  ( x ) -\frac{11}{8}

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}

The  equation of the line that passes through a pair of points

              y - y_{1} = m ( x - x_{1} )

           y - (-2) = \frac{-1}{8}  ( x - (5) )

          y  = \frac{-1}{8}  ( x ) +\frac{5}{8} -2

        y  = \frac{-1}{8}  ( x ) +\frac{5-16}{8}

      y  = \frac{-1}{8}  ( x ) -\frac{11}{8}

3 0
3 years ago
Solve for the volume of the following figure.
Olenka [21]

Answer:

96\pi \: or \: 301.59

rounded to the nearest hundredth

Step-by-step explanation:

use the pythagorean theorem to find the height of the cone

{a}^{2}  +  {6}^{2}  =  {10}^{2}

you get a = 8

the formula for the volume of a cone is

\pi \:{r}^{2}  \frac{h}{3}

plug in 6 for the radius and 8 for the height. then solve

5 0
3 years ago
1b. b. At midnight the temperature is -7°C. At midday the temperature is 4°C. By how much did the temperature rise? * 1 point Yo
ElenaW [278]

Answer:

Rise = 11^\circ C

Step-by-step explanation:

Given

Midnight \to -7^\circ C

Midday \to 4^\circ C

Required

The temperature rise

This is the difference between the final and the initial temperature

Rise = Midday - Midnight

Rise = 4^\circ C - -7^\circ C

Rise = 4^\circ C +7^\circ C

Rise = 11^\circ C

8 0
3 years ago
Mai’s kitchen table measures a length of 4 cm by a width of 2.5 cm on the scale drawing.
saveliy_v [14]

Answer:

either 10 or 1.6

Step-by-step explanation:

8 0
3 years ago
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