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aleksandr82 [10.1K]
3 years ago
15

How to solve inequalities with word problems

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0
<span>1. Read through the entire problem.                                                                 2. Highlight the important information and key words that you need to solve the problem.                                                                                                       3. Identify your variables.                                                                                 4. Write the equation or inequality.                                                                     5. Solve.                                                                                                             6. Write your answer in a complete sentence.                                     7. <span>Check or justify your answer.           hope this helps :D</span></span>
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A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express y
Marina CMI [18]

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

5 0
3 years ago
Determine if the two triangles are congruent. If they are, state how you know.
IRISSAK [1]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Which transformation can NOT be used to prove that ABC is congruent to DEF?
Alexxx [7]

Answer: it is dilation

Step-by-step explanation: i took the exam

7 0
2 years ago
Read 2 more answers
Perfect Linear relationship between two or more independent variables is a violation of .... a. MLR.1 - Linearity in parameters
nexus9112 [7]

Answer:

b. MLR.3 - No perfect collinearity assumption

Step-by-step explanation:

There is an assumption that nothing in the error term should correlate with the explanatory variable (x) of interest and outcome variable of (y). It does not allow any linear relation between two or more variables. If there is a relation between the variable it the the violation of this assumption.  

4 0
3 years ago
Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

= 32 +4 + 20 - 1

= 55 = Remainder

Hence, Remainder is 55.

8 0
3 years ago
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