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3 years ago

Translate: twice the sum of a number and 9 equals 7 into an equation

1 answer:

4 0

$equals\ 7\to=7\\sum\ of\ a\ number\ and\ 9\to n+9\ (n-the\ number)\\twice\ the\ sum\ ...\to2(n+9)\\\\Answer:\boxed{2(n+9)=7}\\\\solution:\\\\2(n+9)=7\ \ \ \ |divide\ both\ sides\ by\ 2\\n+9=3.5\ \ \ \ |subtract\ 9\ from\ both\ sides\\\boxed{n=-5.5}$

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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

kozerog [31]

Answer: 49.85%

Step-by-step explanation:

Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.

i.e. $\mu=61$ and $\sigma=9$

To find : The approximate percentage of lightbulb replacement requests numbering between 34 and 61.

i.e. The approximate percentage of lightbulb replacement requests numbering between 34 and $34+3(9)$ .

i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ . (1)

According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.

i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.

i.e.,The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ = 49.85%

⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%

4 0

3 years ago

Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%

Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = $A=1000(1+\frac{0.06}{365})^{(365\times t)}$

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

$A=1000(1+\frac{0.06}{365})^{(365\times 5)}$

= $1000(1+0.000164)^{1825}$

= $1000(1.000164)^{1825}$

= 1000(1.349826)

= 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0

3 years ago

the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees

Hitman42 [59]

Answer:

The number of pine tree is 119 and the number of elm tree is 187.

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e $11x=7x+68$

$\Rightarrow 11x-7x=68$

$\Rightarrow 4x=68$

$\Rightarrow x=17$

Hence, the number of pine tree = $7x=7\times 17=119$ and the number of elm tree = $11x=11\times 17=187$

8 0

3 years ago

How many 5/8s are in 3

In-s [12.5K]

Well, in 3 there are 24/8s.
That can fit four 5/8's in it with 4/8s left over.
So your answer is 4

8 0

3 years ago

Read 2 more answers

PLS PLS HELP!!!! Write and solve an inequality to find the possible values or x if the area of the

Wittaler [7]

Answer:

width=2 ft, length=(3x+4)ft

Area of Rectangle=width x length

=2ft . (3x+4)ft

=6x+8 ft sq

Area of Rectangle <56 ft sq

6x+8 ft sq <56 ft sq

6x < 56 ft sq - 8 ft sq

6x < 48 ft sq Substeracting 8 on both sides

6x/6 < 48 ft sq/6 Dividing by 6 on both sides

x < 8 ft sq

Step-by-step explanation:

6 0

2 years ago