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3 years ago

Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.

1 answer:

4 0

For this case, the first thing we are going to do is define the following variable:
x = unknown number
We now write the following inequality:
5-3x <= 11
We clear x:
5-11 <= 3x
-6 <= 3x
-6/3 <= x
-2 <= x
The solution set is:
[-2, inf)
Answer:
the solution set is:
[-2, inf)

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Measure angle CHF when angle BGE is 110°

Serjik [45]

If it’s a triangle I’m going to assume it’s 70 degrees

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2 years ago

A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold

Mrrafil [7]

Step-by-step explanation:

8 vehicle.

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000

∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles

∴ 8 vehicles need to be sold by salesperson to get total earning as $4400

8 0

2 years ago

You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3

Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

$h=\frac{504}{lw}$

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides $C_{s}$ = 3[2(l + w)h] = 6(l + w)h

$C_{s}$ = 3[2(l + w)h]

$C_{s}=6(l+w)(\frac{504}{lw} )$

Cost of the top and the bottom $C_{(t,p)}$ = 4(2lw) = 8lw

Total cost of the box C = $3024\frac{(l+w)}{lw}$ + 8lw

= $3024[\frac{1}{l}+\frac{1}{w}]$ + 8lw

To minimize the cost of the sides

$\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0$

$\frac{3024}{l^{2}}=8w$

$\frac{378}{l^{2}}=w$ ---------(1)

$\frac{dC}{dw}=3024(-w^{-2})+8l=0$

$\frac{3024}{w^{2}}=8l$

$\frac{378}{w^{2}}=l$

$w^{2}=\frac{378}{l}$ -------(2)

Now place the value of w from equation (1) to equation (2)

$(\frac{378}{l^{2}})^{2}=\frac{378}{l}$

$\frac{(378)^{2} }{l^{4}}=\frac{378}{l}$

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

$w^{2}=\frac{378}{7.23}$

$w^{2}=52.28$

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

$h=\frac{504}{(7.23)^{2}}$

h = 9.64 cm

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3 years ago

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation. Accord

umka21 [38]

Answer:

c) 68%

Step-by-step explanation:

The empirical rule states that most of the data will be within three standard deviations in a normal distribution. The 68% of the data will be within one standard deviation, the 95% will be within two standard deviations, and 99.7% of the data will be within three standard deviations.

A normal distribution is a continuous distribution in which values around the mean are the most frequents. It can also be called a bell-shaped distribution.

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2 years ago

Read 2 more answers

Point A lies on the circle and has an x-coordinate of 1..

Neko [114]

Answer:

the last one

Step-by-step explanation:

because the distance/length formula is applied here so you just need to rearrange the coordinates in to the formula

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2 years ago