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Komok [63]
1 year ago
11

A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. T

hey took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:

Mathematics
1 answer:
lidiya [134]1 year ago
7 0

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

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g100num [7]

Answer:

step 1. Angle bisector theorem.

step 2. 14/6 = 21/ (3x - 12)

step 3. 14(3x - 12) =21(6)

step 4. 6x - 24 = 18

step 5. 6x = 42

step 6. x = 7.

7 0
2 years ago
use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14
son4ous [18]

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

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4 0
2 years ago
A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using
Mkey [24]

Answer:

  Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.

If the expressions have the same value for two different variable values, they are equivalent. (choice D)

_____

<em>Additional comment</em>

One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.

6 0
3 years ago
√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between (for example: 1, 2
Ann [662]

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

3 0
2 years ago
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