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2 years ago

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graph the system of inequlities {-2x+3y>3 and 4x-3y<15. a solve each inequality for y show your work. graph each inequalit

ies last shade the overlap of the 2 inequalties HELP PLZ i suck at math lol

1 answer:

Stels [109]2 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

1. Solve the system of two inequalities for y:

$\left\{\begin{array}{l}-2x+3y>3\\ \\4x-3y3+2x\\ \\-3y1+\dfrac{2}{3}x\\ \\y>-5+\dfrac{4}{3}x\end{array}\right.$

2. To graph both inequalities, first draw dotted lines -2x+3y=3 and 4x-3y=15 (dotted because the signs of inequalities are both without notion "or equal to"). Then choose appropriate part, substituting the coordinates of the origin:

$-2\cdot 0+3\cdot 0=0>3\ - \ \text{false}\\ \\4\cdot 0-3\cdot 0=0$

So, the origin belongs to the top part of the second inequality and to the bottom part of the first inequality. The intersection of these two regions is the solution set to the system of two inequalities (see attached diagram).

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Please help me i need an answer

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C. 4<=C<=12

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2 years ago

What’s the correct answer for this question?

aksik [14]

Answer:

C:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w

tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1: Finding the Number of hours is need to type 4160 words :

= $1\frac{20}{60}$ hours

$\\\\=1\frac{1}{3}$ hours

$\\\\=\frac{4}{3}$ hours

So it takes $\frac{4}{3}$ hours to type 4160 word

Step 2 : Finding the Number of hours is needed to type 1 word

= $\frac{4160}{\frac{4}{3}}$

= $4160 \times \frac{3}{4}$

= 3120 words per hour

Step 3 : Finding the Number of hours is needed to type 16000 words

= $\frac{\text{ total number of words}} {\text{ number of words written per hour}}$

Substituting the values

= $\frac{16000}{3120}$

= 5.1282 hours

Step 4 : Finding the cost for recreating the manual.

= number of hours x cost per hour

= 5.1282 x $17.65

= 90.51

5 0

2 years ago

A public health organization reports that 40%of baby boys 6-8 months old in the United

Sveta_85 [38]

Using the binomial distribution, the probabilities are given as follows:

0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.

0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.

Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters for this problem are:

n = 10, p = 0.4.

The probability that more than 4 weigh more than 20 pounds is:

$P(X > 4) = 1 - P(X \leq 4)$

In which:

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0061$

$P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403$

$P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209$

$P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150$

$P(X = 4) = C_{10,4}.(0.4)^{4}.(0.6)^{6} = 0.2502$

Hence:

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0061 + 0.0403 + 0.1209 + 0.2150 + 0.2502 = 0.6325$

$P(X > 4) = 1 - P(X \leq 4) = 1 - 0.6325 = 0.3675$

0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.

The probability that fewer than 3 weigh more than 20 pounds is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673

0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.

For more than 7, the probability is:

$P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.4)^{8}.(0.6)^{2} = 0.0106$

$P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016$

$P(X = 10) = C_{10,10}.(0.4)^{10}.(0.6)^{0} = 0.0001$

Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0

1 year ago

Write the equation of the line in slope-intercept form that has: slope: -1 and point: (1, 1)

lara31 [8.8K]

Answer:

f(x) = -1x + 1

Step-by-step explanation:

f(x) = mx + b

the equation above is slope intercept form. in order to make it you need a slope and a y intercept. you were given the slope, so now you need a y intercept. but where would you find that??? look no farther than the point you were given, (1,1). the y intercept is the second number in the parentheses. next you take your slope and your y-intercept and place them in.

f(x) = -1x + 1

hope i could help

3 0

2 years ago