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3 years ago

Which ratio is equivalent to the ratio 2:5? a. 6:15 b. 5:2 c. 5:8 d. 4:7

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

4 0

The answer is A) 6:15, because if you divide both numbers by three, it'll give you 2:5

kozerog [31]3 years ago

4 0

A.6:15
If you multiply 2:5 x 3 you get 6:15 other numbers won't be equal to 2:5

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Which expression is equivalent to 8a + 14?

Hitman42 [59]

8a + 14

=>8a = -14

=>a = -14/8

=>a = -7/4

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3 years ago

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Write the function AG(X) representing the area of the garden in terms of x.

k0ka [10]

The area of this rectangle is x*y. But, this problem requires that you represent the variable "y" in terms of "x" only.

A hint here is that the variable "y" represent a point on the line that connects the end points (0,b) and (a,0).

The first step to solve this problem is to get the expression of this line.

The slope of this line is: m = (0 - b)/(a - 0) = -b/a

Because the point (x,y) is on this line we have: y - b = m(x - 0)

y = (-b/a)x + b

Solution: Area of the rectangle = x*y = x*((-b/a)x + b) = (-b/a)x2 +bx

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3 years ago

A certain economy's consumption function is given by the equation C(x) = 0.65x + 9 where C(x) is the personal consumption expend

ipn [44]

Answer:

1) $C(0) = 9$

2) $C(50) =41.5$

3) $C(100) =74$

Step-by-step explanation:

Given : A certain economy's consumption function is given by the equation $C(x) = 0.65x + 9$

where, C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars.

To find :

1) C(0)

Put x=0 in the given equation,

$C(0) = 0.65(0)+ 9$

$C(0) = 9$

2) C(50)

Put x=50 in the given equation,

$C(50) = 0.65(50)+ 9$

$C(50) =32.5+9$

$C(50) =41.5$

3) C(100)

Put x=100 in the given equation,

$C(100) = 0.65(100)+ 9$

$C(100) =65+9$

$C(100) =74$

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3 years ago

What is the domain, and what is the range?

seraphim [82]

domain is the 1st entry and range is sevond. entry

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3 years ago

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The population standard deviation for the typing speeds for secretaries is 4 words per minute. If we want to be 90% confident th

Oksana_A [137]

Answer:

The minimum sample size that should be taken is 62.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

If we want to be 90% confident that the sample mean is within 1 word per minute of the true population mean, what is the minimum sample size that should be taken

This is n when $M = 1, \sigma = 4$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$1 = 1.96*\frac{4}{\sqrt{n}}$

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^{2} = (4*1.96)^{2}$

$n = 61.5$

The minimum sample size that should be taken is 62.

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4 years ago