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tester [92]
3 years ago
10

Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4, -4), and D(1,

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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If q is the smallest composite number greater than 2 and p is the smallest prime number less than 10, what is p/q? a. 2 b. 0.5 c
Mrac [35]

Answer:

b. 0.5

Step-by-step explanation:

knowing that a prime number is an integer with exactly two divisors and a composite number is an integer with more than two divisors, we have that if q is a composite number greater than 2 these can be 4, 6, 8, .. But how the smallest of them should be is 4, and  p is a prime number can be 2,3,5,7,....

but  is the smallest prime number less than 10 then p=2, also p/q=2/4 = 0.5

6 0
4 years ago
What is the slope of a line perpendicular to ta line whose equation is y = -3/4x - 6
svp [43]

Answer:

4/3

Step-by-step explanation:

y = -3/4x - 6

m = -3/4

Slope of the line perpendicular to this line = -1/m

                                                                      = -1 ÷ (-3/4)

                                                                     = (-1)*\frac{4}{-3}\\\\=\frac{4}{3}

6 0
3 years ago
Kerry worked 46 hours last week. His hourly rate is $9.60. He has the following deductions taken from his pay: federal income ta
KiRa [710]

Answer:

  $341.96

Step-by-step explanation:

Assuming Kerry was not paid at an overtime rate for extra hours (despite his union affiliation), his gross pay is ...

  (46 h)×($9.60/h) = $441.60

His percentage deductions add to 17.65%, so will have a dollar amount of ...

  0.1765×$441.60 = $77.94

The dollar amount deductions total $21.70 in addition to his percentage deductions, so Kerry's net pay is ...

  $441.60 -77.94 -21.70 = $341.96

4 0
3 years ago
A poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of t
Ira Lisetskai [31]

Answer:

(0.5793, 0.6363)

Step-by-step explanation:

Given that a  poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.

i.e. sample proportion p= \frac{482}{793} =0.608

q=1-p = 0.392

Std error of p = \sqrt{pq/n} =0.0173

For 90% Z crtiical = 1.645

Hence margin of error = 1.645 * std error = 0.0285

Confidence interval 90%

= proportion ±margin of error

=(0.5793, 0.6363)

3 0
3 years ago
Add, subtract, multiply, or divide the following fractions. Remember to find the LCD first.
Nat2105 [25]

lcd 210

1/5=42/210

1/7=30/310

3/21=30/210

42+30+30=102/210

reduced 51/105

4 0
3 years ago
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