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3 years ago

Solve the inequality. 2(4x – 3) ≥ –3(3x) + 5x? Show your steps please.

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

Step-by-step explanation:

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What is -3/4 +7/2 in simplest form

Gwar [14]

Answer: 11/4

or 2.75

Step-by-step explanation:

5 0

2 years ago

What is a function please help

maksim [4K]

Answer:

A function has no x values repeated twice.

6 0

2 years ago

A random sample of 15 employees was selected. The average age in the sample was 31 years with a variance of 49 years. Assuming a

vova2212 [387]

Answer:

Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].

Step-by-step explanation:

We have to construct a 98% confidence interval for the mean.

The information we have is:

- Sample mean: 31

- Variance: 49

- Sample size: 15

- The age is normally distributed.

We know that the degrees of freedom are

$k=n-1=15-1=14$

Then, the t-value for a 98% CI is t=2.625 (according to the t-table).

The standard deviation can be estimated from the variance as:

$s=\sqrt {s^2}=\sqrt{49}=7$

The margin of error is:

$E=t_{14}*s/\sqrt{n}\\\\E=2.625*7/\sqrt{15}=18.375/3.873=4.7$

Then, the CI can be constructed as:

$M-t*s/\sqrt{n}\leq\mu\leq M+t*s/\sqrt{n}\\\\31-4.7\leq \mu \leq 31+4.7\\\\26.3\leq \mu \leq 35.7$

5 0

3 years ago

Here are the first four terms of an arithmetic sequence.

klemol [59]

Answer:

nth term = 7n - 2

Step-by-step explanation:

The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below

The nth term of the arithmetic sequence form can be represented as follows.

nth = a + (n - 1)d

where

a = first term

d = common difference

Therefore,

a = 5

d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7

nth = a + (n - 1)d

nth term = 5 + (n - 1)7

nth term = 5 + 7n - 7

nth term = 7n - 2

8 0

2 years ago

Simplify by combining like terms: -4\left(2x-y\right)+y+5\left(x+y\right)−4(2−)++5(+) − 4 ( 2 x − y ) + y + 5 ( x + y ) ; use NO

netineya [11]

Answer:

Step-by-step explanation:

Given the expression $-4\left(2x-y\right)+y+5\left(x+y\right)$ , we are to simplify by combining the like terms. On simplification we have;

$= -4\left(2x-y\right)+y+5\left(x+y\right)$

Open the parenthesis:

$= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y$

Collect the like terms:

$= -8x+5x+4y+y+5y$

Sum up the resulting expression

$= -8x+5x+4y+y+5y\\= -3x+10y$

<em>Hence the required expression on simplification is -3x+10y</em>

5 0

3 years ago