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creativ13 [48]
3 years ago
15

2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite

vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.
Answer:
Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0
A) 55 people said their favorite vehicle color is red

B) 80 people said their favorite vehicle color was blue while 60 people said their favorite vehicle color was white

C) 45 said their favorite vehicle color was black while 10 people said their favorite vehicle color was silver
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Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double
Fiesta28 [93]

Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

A value is doubled if the product of the annual rate and number of years is 72,

Given,

The annual rate of interest = 2%

Let x be the time in years after 1965,

By the above statement,

The population will double if,

x × 2 = 72 ⇒ x = 36

Hence, the after 36 years since 1965 the population will be doubled,

i.e in 2001.   ( ∵ 36 years after 1965 )

4 0
3 years ago
Factorize of 2a³-a²+a-2​
IrinaK [193]
<h3>Answer:  (a - 1)(2a² + a + 2)</h3>

=========================================================

Explanation:

Use the rational root theorem to determine this list of possible rational roots: 1, -1, 1/2, -1/2

Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.

If we tried say a = -1, then,

2a³-a²+a-2​ = 2(-1)³-(-1)²+(-1)-2​ = -6

The result is not zero, so a = -1 is not an actual root.

But if we tried say a = 1, then,

2a³-a²+a-2​ = 2(1)³-1²+1-2​ = 0

We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.

Since a = 1 is a root, this makes (a-1) to be a factor.

From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.

Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.

5 0
1 year ago
How to solve the problem
lawyer [7]

Answer:

1440

Explanation:

1200 × .05 = 60

60 × 4 = 240

1200 + 240 = 1440

<h3><u>·</u><u>Hope</u><u> </u><u>I</u><u> </u><u>helped</u><u>,</u><u> </u><u>-</u><u>SunnySideHelper·</u></h3>
6 0
3 years ago
Three boxes are stacked one on top of each other one box is 2 feet 11 inches tall one is 3 feet 5 inches tall and one is 4 feet
Natasha_Volkova [10]

Answer:

<u>11 feet 2 inches</u>

Step-by-step explanation:

ill add the inches first

11+5+10= 26

26inches= 2ft 2inches

now I add the feet

2+3+4+2=11 feet

<u>11 feet 2 inches</u>

7 0
2 years ago
Solution of this equation
lara31 [8.8K]
2.5y + 3x = 27
5x - 2.5y = 5

Align the variables to make solving this easier.

2.5y + 3x = 27
-2.5y + 5x = 5

You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.

3x = 27
5x = 5

8x = 32

Divide both sides by 8.

x = 4

Now input that x into one of the equations to get y. 

2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6

The answer to this system of equations is x = 4, y = 6. (4, 6)
5 0
3 years ago
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