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Lana71 [14]
3 years ago
6

12x+7<-11 or 5x-8>40

Mathematics
1 answer:
puteri [66]3 years ago
7 0

Answer:

\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}

Step-by-step explanation:

12x+7

5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================

x9\dfrac{3}{5}

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A book claims that more hockey players are born in January through March than in October through December. The following data sh
denis-greek [22]

Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

October-December 37

Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

5 0
3 years ago
Which represents a quadratic function ?
mars1129 [50]

Answer:

\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form f = ax^2 + bx + c, where a\neq 0

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of x^2 is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0
3 years ago
Read 2 more answers
Please answer this question and i will mark you brainliest.
juin [17]

Answer:

4 altogether

0,1 + 1, 1 = 1 RA

0,1 + 2,1 = 1 RA

0.2 +1, 2 = 1 RA

0,2 +2,2 = 1 RA

Step-by-step explanation:

8 0
3 years ago
(4 + 32)(15 – 23)<br> can someone help me out with the answer? :,)
hoa [83]

Answer:

-288

Step-by-step explanation: I took the following steps to find the answer:

(4 + 32)(15 – 23)

\             /

 (36)(15 – 23)

           \          /

 (36) (- 8)

   \        /

    -288

4 0
2 years ago
Please answer :) Easy question
lutik1710 [3]
4. ^

5. A slope is a line nevertheless and it keeps changing, while the rise over run is also a slope. This means that the only correct answer can be a 2 dimensional figure.

7 0
3 years ago
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