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Tatiana [17]
3 years ago
13

A software company is hiring some programmers to add to its development team. A junior programmer salary is $48,000 and a senior

programmer salary is $86,000. To keep costs down, the total spending on these new positions must be under $1,200,000 annually.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of junior programmers
y = the number of senior programmers
Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

48,000x + 86,000y \leq 1,200,000

Step-by-step explanation:

x is the number of junior programmers.

Each junior programmers costs $48,000.

So, the cost of x junior programmers is

48,000x

y is the number of senior programmers

Each senior programmer costs $86,000

So the cost of y seniors programmers is

86,000y

The total cost for x junior programmers and y seniors programmers is

48,000x + 86,000y

To keep costs down, the total spending on these new positions must be under $1,200,000 annually.

So the inequality is:

48,000x + 86,000y \leq 1,200,000

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8 0
3 years ago
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
What number makes the expressions equivalent? Enter your answer in the box. 1/2(–1.4m + 0.4) =__m + 0.2A) -1.4B) 1.4C) -0.7D) 0.
Snowcat [4.5K]

Answer:

C. -0.7

Explanation:

Given the equation:

\frac{1}{2}(-1.4m+0.4)=\boxed{\square}_{}m+0.2​

First, distribute the bracket on the left-hand side:

\begin{gathered} \frac{1}{2}(-1.4m)+\frac{1}{2}(0.4) \\ =-0.7m+0.2 \end{gathered}

The number that makes the given expressions equivalent is -0.7.

The correct choice is C.

6 0
1 year ago
All together, 3 people have 120 coins. mark has 3 times as many as joel, and joel has 1/2 as many as sandra. how many coins does
oksano4ka [1.4K]
Joel = j, Mark = m, Sandra = s
j + m + s = 120
m = 3j
j = 1/2 s --> s = 2j
plug in (substitute) each letter to make it in terms of only j: j + m + s = 120
j + 3j + 2j = 120
6j = 120
6j/6 = 120/6
j = 20
now plug in for the j & s equation:
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Therefore Sandra has 40 coins!
7 0
3 years ago
If using the method of completing the square to solve the quadratic equation
kap26 [50]

Answer:

225/4

Step-by-step explanation:

x²– 15x – 23 = 0

To complete the square

We take to coefficient of the x term

-15

divide by 2

-15/2

Square it

225/4

Add it to each term

8 0
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