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sveticcg [70]
3 years ago
5

The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assis

tants. What is another way of writing this compound inequality?
x ≤ 8.00 and x < 9.50
x ≤ 8.00 or x < 9.50
x ≥ 8.00 and x < 9.50
x ≥ 8.00 or x < 9.50
Mathematics
2 answers:
qaws [65]3 years ago
7 0

Answer:

The correct answer is C

Orlov [11]3 years ago
3 0

Answer: x≥ 8.00 and x < 9.50 is the correct option.

Step-by-step explanation:

Since, given expression 8.00 ≤ x < 9.50

Where x is the value for which college students are paid hourly as teacher assistants.

so, x is greater than or equal to 8.00

Therefore, x\geq 8.00  

And, x is less than 9.50

Therefore,  x < 9.50

On combining both expression we get,  x\geq 8.00 and x < 9.50.

Thus, Third Option is correct.


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Use the system of equations to answer the questions.
koban [17]

Answer:

2x + 3(8 - 3x) = 3

x = 3

y = -1

Step-by-step explanation:

2x + 3y = 3

y = 8 – 3x

2x + 3(8 - 3x) = 3

2x + 24 - 9x = 3

7x = 21

x = 3

y = 8 - 3(3)

y = -1

5 0
3 years ago
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d
NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

  Null Hypothesis, H_0 : \sigma = \sqrt{0.003}

Alternate Hypothesis, H_1 : \sigma > \sqrt{0.003}

The test statistics used here for testing variance is;

          T.S. = \frac{(n-1)s^{2} }{\sigma^{2} } ~ \chi^{2}__n_-_1

where, s = sample standard deviation = 0.06

           n = sample size = 26 cans

So, Test statistics = \frac{(26-1)0.06^{2} }{0.003 } ~ \chi^{2}__2_5

                            = 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

5 0
3 years ago
The "core" inflation rate is typically defined as the change in consumer prices for all goods included in the CPI basket except
Ganezh [65]

Answer:

Higher

Step-by-step explanation:

1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.

Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.

So, the Core inflation is based on CPI and PCE, <em>Personal Consumption Expenditure</em> therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.

6 0
3 years ago
Find X and Y and show please show calculations
torisob [31]

Answer:

Y = 90

X = 52

Step-by-step explanation:

Y is on a straight line. The sum of the angles on a straight line is 180.

The only other angle (that is marked) on this straight line, is a 90 degree one. So, <y + 90 = 180.

<y = 90.

Now <x + 38 = 90

so, x = 52

6 0
3 years ago
What is the coefficient of the term of degree 4 in this polynomial?<br> x^8+2x^4 - 4x^3 + x^2-1
never [62]

Answer:

2

Step-by-step explanation:

the coefficient is the number that multiply the letter

5 0
3 years ago
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