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olga55 [171]
2 years ago
7

There where four times as many trucks as vans. What is the ratio of the statements could compare the number of trucks to vans .

Mathematics
1 answer:
Westkost [7]2 years ago
3 0

Answer:

4:1

Step-by-step explanation:

4 trucks for 1 van

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Which pair of numbers has 2 as its greatest common factor
weeeeeb [17]

Answer:

6 and 12 have the greatest common factor of 2

5 0
2 years ago
Read 2 more answers
Determine whether each equation below does or does not represent a proportional relationship. support your answer using either a
Triss [41]

Answer:

  • As the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship.
  • As the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship.

Step-by-step explanation:

                                        <u><em>Solving equation A: y = x </em></u>

Let us consider the given equation A:

                                                      y = x

  • Putting x = 1 in y = x

y = x

y = 1    ∵ x = 1

Hence, (1, 1) is the ordered pair of  y = x

  • Putting x = 2 in y = x

y = x

y = 2    ∵ x = 2

Hence, (2, 2) is the ordered pair of  y = x

  • Putting x = 3 in y = x

y = x

y = 3    ∵ x = 3

Hence, (3, 3) is the ordered pair of  y = x

  • Putting x = 4 in y = x

y = x

y = 4    ∵ x = 4

Hence, (4, 4) is the ordered pair of  y = x

  • Putting x = 5 in y = x

y = x

y = 5    ∵ x = 5

Hence, (5, 5) is the ordered pair of y = x

Lets us consider all the ordered pairs i.e. (1, 1), (2, 2), (3, 3), (4, 4) and (5, 5) to make a table for y = x.

<em>y                 x</em>

1                  1

2                 2

3                 3

4                 4

5                 5

As from the table, lets take the ratio of every point i.e. y/x

  • For (1, 1), the ratio will be y/x ⇒ 1/1 = 1
  • For (2, 2), the ratio will be y/x ⇒ 2/2 = 1
  • For (3, 3), the ratio will be y/x ⇒ 3/3 = 1
  • For (4, 4), the ratio will be y/x ⇒ 4/4 = 1
  • For (5, 5), the ratio will be y/x ⇒ 5/5 = 1

Hence, the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship. Please also check the graph in attached<em> figure a.</em>

                                          <u><em>Solving equation A: y = x +2</em></u>

Let us consider the given equation A:

                                                         y = x + 2    

  • Putting x = 1 in y = x + 2

y = x + 2

y = 1 + 2 ⇒ 3  ∵ x = 1

Hence, (1, 3) is the ordered pair of y = x + 2

  • Putting x = 2 in y = x + 2

y = x + 2

y = 2 +2 ⇒ 4   ∵ x = 2

Hence, (2, 4) is the ordered pair of y = x + 2

  • Putting x = 3 in y = x + 2

y = x + 2

y = 3 + 2 ⇒ 5    ∵ x = 3

Hence, (3, 5) is the ordered pair of  y = x + 2

  • Putting x = 4 in y = x + 2  

y = x + 2  

y = 4 + 2 ⇒ 6   ∵ x = 4

Hence, (4, 6) is the ordered pair of  y = x + 2

  • Putting x = 5 in y = x + 2

y = x + 2

y = 5 +2 ⇒ 7    ∵ x = 5

Hence, (5, 7) is the ordered pair of y = x + 2

Lets us consider all the ordered pairs i.e. (1, 3), (2, 4), (3, 5), (4, 6) and (5, 7) to make a table for y = x + 2.

<em>y                 x + 2</em>

1                  3

2                 4

3                 5

4                 6

5                 7

As from the table, lets take the ratio of every point i.e. y/x

  • For (1, 3), the ratio will be y/x ⇒ 3/1 = 3
  • For (2, 4), the ratio will be y/x ⇒ 4/2 = 2
  • For (3, 5), the ratio will be y/x ⇒ 5/3 = 5/3
  • For (4, 6), the ratio will be y/x ⇒ 6/4 = 3/2
  • For (5, 7), the ratio will be y/x ⇒ 7/5 = 7/5

Hence, the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship. Please also check the graph in attached<em> figure a.</em>

<em>Keywords: equation, graph</em>

<em> Learn more equation and graphs from brainly.com/question/12767017</em>

<em> #learnwithBrainly</em>

6 0
2 years ago
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air
Stells [14]

Answer:

a) 0.0853

b) 0.0000

Step-by-step explanation:

Parameters given stated that;

H₀ : <em>p = </em>0.6

H₁ : <em>p  = </em>0.6, this explains the acceptance region as;

p° ≤ \frac{315}{500}=0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)

a).

the probability of type I error if exactly 60% is calculated as :

∝ = P (Reject H₀ | H₀ is true)

   = P (p°>0.63 | p=0.6)

where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below

   

    = P  [\frac{p°-p}{\sqrt{\frac{p(1-p)}{n}}} >\frac{0.63-p}{\sqrt{\frac{p(1-p)}{n}}} |p=0.6]

    = P  [\frac{p°-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} >\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} ]

    = P   [Z>\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500} } } ]

    = P   [Z > 1.37]

    = 1 - P   [Z ≤ 1.37]

    = 1 - Ф (1.37)

    = 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)

    ≅ 0.0853

b)

The probability of Type II error β is stated as:

β = P (Accept H₀ | H₁ is true)

  = P [p° ≤ 0.63 | p = 0.75]

where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below

  = P [\frac{p°-p} \sqrt{\frac{p(1-p)}{n} } }\leq \frac{0.63-p}{\sqrt{\frac{p(1-p)}{n} } } | p=0.75]

  = P [\frac{p°-0.6} \sqrt{\frac{0.75(1-0.75)}{500} } }\leq \frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]

  = P[Z\leq\frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]

  = P [Z ≤ -6.20]

  = Ф (-6.20)

  ≅ 0.0000 (from Cumulative Standard Normal Distribution Table).

6 0
3 years ago
The formula for the distance traveled over time t and at an average speed v. v times t. If Amit ran for 40 minutes at a speed of
lorasvet [3.4K]

Answer:

Thus, Amit ran 3.33 KM

calculation needed:

conversion of time (40 minutes to hour)

multiplying velocity  and time (which we got in hours)

Step-by-step explanation:

Given

to calculate the distance: . v times t

that is multiply v with t

where v is average velocity

t is the  time

__________________________________

Given

v = 5 km/hour

time = 40 minutes

since speed is in Km per hour and also we have to find distance in km

lets convert time which in 40 minutes to hour

we know

60 minutes = 1 hour

1 minute = 1/60 hour

40 minutes = 40/60 hour = 2/3 hour

distance = v times t

distance = 5*2/3 = 10/3 = 3 1/3 km = 3.33 km

Thus, Amit ran 3.33 KM

calculation needed:

conversion of time (40 minutes to hour)

multiplying velocity  and time (which we got in hours)

4 0
3 years ago
Find the exact value under the given conditions.
Leni [432]
Answer:
I think is B
3 0
3 years ago
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