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MissTica
3 years ago
8

All the dimensions of a parallelogram were multiplied by the same factor. If the area of the parallelogram went from 3 square ce

ntimeters to 12 square centimeters, the dimensions of the parallelogram were multiplied by what?
Mathematics
2 answers:
postnew [5]3 years ago
3 0

Answer:

I was multiplied by 4.

Step-by-step explanation:

Because 3 times 1 is not 12

and 3 times 2 is not 12

and 3 times 3 is not 12

but only 3 time 4 is 12.

kari74 [83]3 years ago
3 0

Answer:

The answer is 2

Step-by-step explanation:

The dimensions of the parallelogram are most likely 3 and 1, so if you multiply both by 2 you get 6 and 2, which equal 12 when multiplied together

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According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next j
Ahat [919]

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

1  

 The  alternative hypothesis  H_a  :  \mu < 15.9

2

The  test statistics z =  -2.64  

Step-by-step explanation:

From the question we are told that

     The population  mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

     The  sample size is  n =  50

     The  sample standard deviation is  6.7 weeks.

      The  sample mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

       

     The  null hypothesis is  H_o  :  \mu \ge 15.9

      The  alternative hypothesis  H_a  :  \mu < 15.9

Generally test statistics is mathematically represented as

       z =  \frac{ \= x  - \mu }{ \frac{s}{\sqrt{n} } }  

=>    z =  \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}

=>     z =  -2.64  

   

7 0
3 years ago
Identify the augmented matrix for the system of equations.
lord [1]

Answer:

The augmented matrix for the system of equations is \left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right].

Step-by-step explanation:

This system consists in three equations with three variables (x, y, z).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:

\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]

The augmented matrix for the system of equations is \left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right].

8 0
2 years ago
Find the value of x in the diagram
Ksenya-84 [330]

Answer:

x = 21

Step-by-step explanation:

Based on the inscribed angle theorem, we would have:

120° = 2(3x - 3)°

Solve for x

120 = 2*3x - 2*3

120 = 6x - 6

Add 6 to both sides

120 + 6 = 6x

126 = 6x

Divide both sides by 6

126/6 = x

21 = x

x = 21

6 0
3 years ago
Pls help I don’t understand
dmitriy555 [2]

The answer is c. \frac{46}{9}

a. \frac{11}{5}=2.2 (2.2≠5.11) (2.2 is not equal to 5.11)

b. 5\frac{1}{8}=\frac{5}{8} or 0.625 (0.625≠5.11) (0.625 is not equal to 5.11)

c. \frac{46}{9} =5.11 (5.11=5.11) (5.11 is equal to 5.11)

Therefore c is the answer

4 0
3 years ago
Annete is suveyeing people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those
VLD [36.1K]

she surveyed "x" amount, which is the 100%, but we also know that 180 is the 37.5%, so


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 180&37.5 \end{array}\implies \cfrac{x}{180}=\cfrac{100}{37.5}\implies 37.5x=18000 \\\\\\ x=\cfrac{18000}{37.5}\implies x=480

8 0
3 years ago
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