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Sidana [21]
4 years ago
11

Match the solution set given in inequality notation with the solution set given in interval notation.

Mathematics
1 answer:
iragen [17]4 years ago
6 0

x ≤ a → x ∈ (-∞, a]

x < a → x ∈ (-∞, a)

x ≥ a → x ∈ [a, ∞)

x < a → x ∈ (a, ∞)

--------------------------------------

Therefore:

x ≥ 7.8 → [7.8, ∞)

x < 7.8 → (-∞, 7.8)

x ≤ 7.8 → (-∞, 7.8]

x > 7.8 → (7.8, ∞)

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Allison is opening up a jewelry business. She spent $56 on supplies. After $77 in sales to customers, what integer represents he
Nuetrik [128]

Answer:

21

Step-by-step explanation:

77 - 56 = 21

8 0
3 years ago
Classify the polynomial 2x^3+6x^2-4 by the number of terms. binomial. trinomial. cubic. quadratic.
sashaice [31]

Answer:

monomial

Step-by-step explanation:

3 0
3 years ago
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of stude
AnnZ [28]

Answer:

60 students

Step-by-step explanation:

The confidence interval of a proportion is given by:

p\pm z*\sqrt{\frac{p*(1-p)}{n} }

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.

If the confidence interval is from 0.584 to 0.816, then:

p=\frac{0.584+0.816}{2}=0.7 \\0.816-0.584=2*(1.96*\sqrt{\frac{p*(1-p)}{n}}) \\0.116=1.96*\sqrt{\frac{0.7*(1-0.7)}{n}}\\n=16.8966^2*(0.7*0.3)\\n=60\ students

60 students were in the sample.

8 0
3 years ago
Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only ha
aliya0001 [1]

Answer:

Kindly check explanation

Step-by-step explanation:

Kilogram of flour needed to complete holiday order is atleast 175kg

Number of kilograms available = 34kg

Flour comes in bags each contain 23kg of flour

He wants to buy the smallest number of bags as possible and get the amount of flour he needs.

Let F = number of bags of flours Sergei needs to buy

F = (total number of kilograms needed - number of kilograms available) / kilograms per bag

F = (≥ 175 - 34) / 23

F = ≥ 141 / 23 = ≥ 6.1304347

Since flour is purchased per bag, the smallest number of bags he can possibly buy and still get the amount of flour he need = 7 bags

8 0
3 years ago
Can you help me please
STALIN [3.7K]

Answer:

36

Step-by-step explanation:

Here we a given a rule

It say

x(y÷3)^2

And we are given the values of x and y as

x=4 and y = 9

Let us replace them in the rule we are provided with

4(9÷3)^2

Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .

We first divide 9 by 3

9÷3 = 3

Hence

4(9÷3)^2 = 4(3)^2

Now we square first

3^2 = 3 \times 3 = 9

4(3)^2 = 4 \times 9

4(3)^2 = 36

Hence our final answer will be 36

4 0
4 years ago
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