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3 years ago

Examine (a), (b), and (c) and select the correct answer.

Mathematics

1 answer:

trapecia [35]3 years ago

7 0

First: solve the expressions

(a) 50% of 20= (.50*20)=10

(b) 30% of 90= (.30*90)=27

Next: use substitution

(a) 2(10)=(27) (this is not true)

(b) (27)-(10)=(20) (this is not true)

(d) 2(10)=(20) (this is true)

Your answer is D. Hope this helps :)

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X - y = 6

Dominik [7]

the system has no solution.

Option C is correct.

Step-by-step explanation:

We need to solve the system of equations by substitution

$x - y = 6\,\,\,eq(1)\\x = y + 2\,\,\,eq(2)$

Putting value of x from eq(2) into eq(1)

$(y+2)-y=6\\y+2-y=6\\0+2=6\\0=6-2\\0\neq4$

As as 0≠4is not true, we cannot find the value of y so the system has no solution.

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

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3 years ago

Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.

Sphinxa [80]

Answer:

The required rate of interest = 14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest = Amount - Principal

= 9,000 - 7,000 = 2,000

So, the SI on the given principal for 2 years = 2,000

$\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285$

or, R = 14.285%

Hence, the required rate of interest = 14.285%

8 0

3 years ago

Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed bel

timama [110]

Answer:

D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

8 0

3 years ago

What is the slope of the line passing through the points ( −3 , 4 ) and ( 4, −1 )?

ziro4ka [17]

Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7

4 0

3 years ago

Find the slope of the line that passes through the points (0, -3) and (-4,1).

kozerog [31]

The formula for slope is $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$