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elena-s [515]
3 years ago
5

If a − b ∈ P, then (a + c) − (b + c) = a − b is in P. Thus a + c > b + c​

Mathematics
1 answer:
lakkis [162]3 years ago
7 0
  1. bawa doa
  2. bawa nacu
  3. vio bakha
  4. asu yaug6
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Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi.
Masja [62]

Answer:

a) f(x) = 0.5 \frac{dollars}{day} x + 20

g(x) = 0.55 \frac{dollars}{mi} x + 15

b) f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

Step-by-step explanation:

Assuming the following questions.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.

For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

f(x) = 0.5 \frac{dollars}{day} x + 20

Where x represent the  number of miles driven

For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

g(x) = 0.55 \frac{dollars}{mi} x + 15

Where x represent the miles driven.

We can see the plot on the figure attached.

(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?

If we replace the value x=70 for both functions we got:

f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

7 0
3 years ago
Please help me with these two questions, i will give brainliest
valentinak56 [21]

Answer:

5. No,  Triangle J K L is a Reflection, not a translation

6. Its 11 to the right, and 2 up

8 0
3 years ago
Read 2 more answers
Please help me with math!! Will mark BRAINLIEST!!
Shtirlitz [24]
For the first box on the left hand side, the answer is m < 1 + m < 2 = 180 as they are a linear pair

The first box in the right-hand column is "linear pair postulate" as its very similar to the previous line

The second box on the left-hand side is m < 1 + m < 2 = m < 2 + m < 3. Essentially we're doing replacements. Similar to how x+3 = 10 turns into 7+3 = 10 when we plug in x = 7

The second box on the right-hand side is "subtraction property of equality". We subtract "m < 2" from both sides to end up with m < 1 = m < 3
8 0
4 years ago
Three students were lined up in a row. Lucas was to the left of Fatima, but not necessarily next to her. The student wearing the
kirill [66]

Answer:

Benjamin then student wearing black t-shirt then the student wearing white then who wear blue then lucas then fatima

Step-by-step explanation:

where fatima is the first one then the others beside her one by one

5 0
3 years ago
In a survey of women in a certain country the mean height was 62.9 inches with a standard deviation of 2.81 inches answer the fo
Natasha2012 [34]

The question is incomplete. The complete question is :

In a survey of women in a certain country ( ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches.  Answer the following questions about the specified normal distribution.  (a) What height represents the 99th percentile?  (b) What height represents the first quartile?  (Round to two decimal places as needed)

Solution :

Let the random variable X represents the height of women in a country.

Given :

X is normal with mean, μ = 62.9 inches and the standard deviation, σ = 2.81 inches

Let,

$Z=\frac{X - 62.9}{2.81}$ , then Z is a standard normal

a). Let the 99th percentile is = a

The point a is such that,

$P(X

$P \left( Z < \frac{a-62.9}{2.81} \right) = 0.99$

From standard table, we get : P( Z < 2.3263) =0.99

∴ $\frac{(a-62.9)}{281} = 2.3263$

  $a= (2.3263 \times 2.81 ) +62.9$

     = 6.536903 + 62.9

     = 69.436903

     = 69.5 (rounding off)

Therefore, the height represents the 99th percentile = 69.5 inches.

b). Let b = height represents the first quartile.

It is given by :

P( X < b) =0.25

$P \left( Z < \frac{(b-62.9)}{2.81} \right) = 0.25$

From the standard normal table,

P( Z < -0.6745) =0.99

∴ $\frac{(b-62.9)}{2.81}= 0.6745$

$b=(0.6745 \times 2.81) +62.9$

  = 1.895345 + 62.9

   = 64.795345

   = 64.8 (rounding off)

Therefore, the height represents the 1st quartile is 64.8 inches.

8 0
3 years ago
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