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navik [9.2K]
3 years ago
6

The number of miles represented on a map is directly proportional to the number of centimeters measured on a map. A certain Texa

s map uses the scale 2 cm= 150 miles.
According to this map, how many centimeters would represent 525 miles?


The distance of a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck continues to travel at this same rate, how long will it take the truck to go 938 miles?


The amount of gas consumed by a car varies directly with the miles driven. The car traveled 180 miles and used 6 gallons of gas. If the car traveled 1,260 miles, how many gallons of gas would be used?
Mathematics
2 answers:
Pavel [41]3 years ago
8 0
There should be 42 Gallons as he said^ Tell me if I’m right
maw [93]3 years ago
3 0
1) 7cm 2)14 hours 3)42 gallons
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Two dices are tossed. What is probability that you will see even numbers on both dices? Answer should be in reduced
zimovet [89]

Answer:

3/6

Step-by-step explanation:

Well 3 is half of 6 and if you were to turn that into a fraction it would either be 3/6 or 1/2.

8 0
3 years ago
A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
maw [93]

Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

5 0
3 years ago
g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected
Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

np=50*0.78=39  \geq 10

n(1-p)=50*(1-0.78)=11 \geq 10

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

p \sim N (p, \sqrt{\frac{p(1-p)}{n}})

With the following parameters:

\mu_ p = 0.78

\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

np=50*0.78=39  \geq 10

n(1-p)=50*(1-0.78)=11 \geq 10

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

p \sim N (p, \sqrt{\frac{p(1-p)}{n}})

With the following parameters:

\mu_ p = 0.78

\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586

6 0
3 years ago
What is the product? (-2x -9y2) (-4x-3)
lutik1710 [3]

Answer:

8x^4+36x^3y^2

Step-by-step explanation:

(-2x-9y^2)(-4x^3)

8x^4+36x^3y^2

6 0
3 years ago
What is the radius of the circle using the equation below?
slava [35]

Answer:

the radius is 5 cubic meters

7 0
3 years ago
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