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3 years ago

Write an expression to represent: the sum of four and the product of three and a number x

Mathematics

2 answers:

Amanda [17]3 years ago

3 0

I'm not positive, but I think it's:
4+(3x)

damaskus [11]3 years ago

3 0

Answer:

4+(3x)

Step-by-step explanation:

The product of three and a number x can be written as 3x.

"Sum" means that we add 4 and 3x.

If we add 4 and 3x we have 4+3x.

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Subtract 2w + 4 from 3w + 6

lesya [120]

W+2 the answer is this because u figure out the factor of W

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3 years ago

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The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologi

Alex Ar [27]

This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

mean x' = 48,800

standard deviation σ = 16,800

at 95% confidence level;

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

z critical value, $Z_{\alpha/2$ = 1.96

now, confidence interval for population mean is given by the formula

x' ± $Z_{\alpha/2$ ( σ/√n )

so we substitute

⇒ 48800 ± 1.96( 16800/√36 )

⇒ 48800 ± 1.96( 2800 )

⇒ 48800 ± 5488

⇒ 48800 - 5488, 48800 + 5488

⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

6 0

3 years ago

Jane is building eight 3-legged stools. Each leg is 1/2 yard long. She can cut the legs from wooden rods that are sold in 2-yard

jonny [76]

Answer:

$n = 6\,rods$

Step-by-step explanation:

The total of legs needed to build the stools are:

$x = (8) \cdot (3)$

$x = 24$

Likewise the total length of the legs is:

$L_{tot} = 24\cdot (0.5\,yd)$

$L_{tot} = 12\,yd$

Lastly, the quantity of rods that needed to buy is:

$n = \frac{12\,yd}{2\,\frac{yd}{rod} }$

$n = 6\,rods$

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3 years ago

What type of relationship has a graph that is a line ?

evablogger [386]

Answer:

The formal term to describe a straight line graph is linear, whether or not it goes through the origin, and the relationship between the two variables is called a linear relationship. Similarly, the relationship shown by a curved graph is called non-linear.

Step-by-step explanation:

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3 years ago

Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting

vodka [1.7K]

Answer:

1) The inequality is $55 ≥ $11.50 × S + $2.75

2) Alonso can afford 4 boxes of sugar

Step-by-step explanation:

The given information are;

The total amount with Alonso = $55

The amount of eggs Alonso needs = 12 eggs

The costs of the pack of 12 eggs = $2.75

The number of packs of eggs Alonso buys = 1

The cost of each box of sugar = $11.50

Let the number of boxes of sugar Alonso buys = S

Given that the total amount of money with Alonso is $55, then the inequality will be such that $55 will be equal to or larger than the expression for items bought

Therefore, the inequality is given as follows;

$55 ≥ $11.50 × S + $2.75

2) To find out how many boxes of sugar Alonso can afford, we have;

$55 ≥ $11.50 × S + $2.75

$55 - $2.75≥ $11.50 × S

$52.25 ≥ $11.50 × S

∴ S ≤ $52.25/$11.50 = 4.54

S ≤ 4.54 boxes of sugar

As the sugar comes in whole boxes, Alonso can therefore afford only 4 whole boxes of sugar.

Alonso can afford to buy 4 boxes of sugar.

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3 years ago

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