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Oduvanchick [21]
3 years ago
9

How can you tell if an inequality will have a solid line

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

b. the symbol has or equal to

Step-by-step explanation:

Required

When does an inequality have a solid line

The question is pretty straightforward and the answer is (b) which means that when the symbol has or equal to.

This implies that, the symbol could be:

> or = i.e. \ge

and it could also be:

< or = i.e. \le

Take for instance:

x + 1 \ge 2 and y- 5\le 10

<em>The above expressions will have a solid line</em>

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Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?'
allochka39001 [22]
Is this rsm? lol okay.

x is the amount of money invested at 5%
y is the amount of money invested at 6%
the total amount of money invested is $6000, or x+y
when it says the yearly income is $337.50, it means that the 5% of x plus the 6% of y equals $337.50.

now write the two equations:

x+y =6000

0.05x + 0.06y = 337.50

now, find y for the first equations, which is y= 6000 - x. use this equation to substitute for the second equation.

0.05x + 0.06(6000 -x) = 337.50

blah, blah, blah, solve for x... you should get x = 2250, and y = 3750.

I hate money problems like this, hope it helps.


3 0
3 years ago
Read 2 more answers
Find the solution set of this system:
bezimeni [28]

Answer:

(−4, 12), (1, −3)

Step-by-step explanation:

y = −3x

x^2 −4 = y

so

x^2 −4 = −3x

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x + 4 = 0; x = -4

x - 1 = 0; x = 1

when x = 1, y = -3(1) = -3

when x = -4, y = -3(-4) = 12

Answer

(-4 , 12), (1 , -3)

3 0
2 years ago
Read 2 more answers
Which of the following represents the area of a rectangle with a length of (3x + 2)
Misha Larkins [42]

Answer:

WANNA HEAR SOME METAL

Step-by-step explanation:

WANNA HEAR ME ROAAAAAAAAAAAAAAAAAR

6 0
3 years ago
Cory earns 52.50 in 7 hours. find the unit rate
faust18 [17]

divide the two:

52.50 / 7 = 7.50 per hour

6 0
3 years ago
Read 2 more answers
A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.
nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0
3 years ago
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