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White raven [17]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

50 will be the answer. Because one of the angle is exterior so we need to make that angle interior by 180- angle... then we use the method of finding the third side by

180-(<1+<2)

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Hannah earns $48 in 4 hours at this rate how many dollars will she earn in 20 hours?
baherus [9]
Hannah will earn $240 in 20 hours

Explanation: Since it tells you she earns $48 in 4 hours, you have to find how much she earns in 1 hour. So you do 48 divided by 4 (12) and that is how much she earns in 1 hour. Since the question is, how much does she earn in 20 hours, you multiply 12 x 20 and that equals 240 which means she earns $240 in 20 hours
8 0
3 years ago
What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?
olga nikolaevna [1]
Volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³
4 0
2 years ago
When steve woke up. his temerature was 102. two hours later it was 3 lower what is his temerature now?
valentina_108 [34]
Steve's original temperature - 102

2 hours later it dropped 3 degrees

102 - 3 = 99

Steve's current temperature is 99.
8 0
3 years ago
The accompanying data came from a study of collusion in bidding within the construction industry. No. Bidders No. Contracts 2 6
viktelen [127]

Answer:

a)

The proportion of contracts involved at most five bidders is 0.667.

The proportion of contracts involved at least five bidders is 0.51.

b)

The  proportion of contracts involved  between five and 10 inclusive bidders is 0.5.

The  proportion of contracts involved  strictly between five and 10 bidders is 0.304.

Step-by-step explanation:

No. bidders    No. contracts     Relative frequency of contracts

2                         6                       6/102=0.0588

3                         20                     20/102=0.1961

4                         24                     24/102=0.2353

5                         18                       18/102=0.1765

6                         13                        13/102=0.1275

7                          7                          7/102=0.0686

8                          5                          5/102=0.049

9                          6                          6/102=0.0588

10                         2                           2/102=0.0196

11                          1                            1/102=0.0098

Total                  102

a)

We have to find proportion of contracts involved at most five bidders.

Proportion of at most 5= Relative frequency 2+ Relative frequency 3+ Relative frequency 4+ Relative frequency 5

Proportion of at most 5=0.0588+ 0.1961+0.2353+0.1765

Proportion of at most 5=0.6667

The proportion of contracts involved at most five bidders is 0.667.

proportion of at least five bidders= proportion≥5= 1- proportion less than 5

Proportion less than 5=0.0588+ 0.1961+0.2353=0.4902

proportion of at least five bidders=1-0.4902=0.5098

The proportion of contracts involved at least five bidders is 0.51

b)

We have to find proportion of contracts involved  between five and 10 inclusive bidders.

Proportion of contracts between five and 10 inclusive= Relative frequency 5+ Relative frequency 6+ Relative frequency 7+ Relative frequency 8+ Relative frequency 9+ Relative frequency 10

Proportion of between five and 10 inclusive=0.1765 +0.1275 +0.0686 +0.049 +0.0588 +0.0196

Proportion of between five and 10 inclusive=0.5

The  proportion of contracts involved  between five and 10 inclusive bidders is 0.5

We have to find proportion of contracts involved  strictly between five and 10 bidders.

Proportion of contracts strictly between five and 10=  Relative frequency 6+ Relative frequency 7+ Relative frequency 8+ Relative frequency 9

Proportion of strictly between five and 10=0.1275 +0.0686 +0.049 +0.0588

Proportion of strictly between five and 10=0.3039

The  proportion of contracts involved  strictly between five and 10 bidders is 0.304.

8 0
3 years ago
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
stiks02 [169]

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

3 0
2 years ago
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