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3 years ago

1. Identify the number of terms in theexpression 9m + 7.:

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

Answer:

2 terms

Step-by-step explanation:

Each term is either a number or a variable, or a mix of the two.

In this case, the two terms are:

9m & 7.

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The probability that A will die within the next 20 years is 0.025, and that B will die within the next 20 years is 0.030. What i

sergey [27]

Answer:

0.00075

0.02425

0.94575

Step-by-step explanation:

Let E1 be the event that A dies within next 20 years and E2 be the event that B dies within next 20 years.

Probability that E1 occurs = P(E1) = 0.025

Probability that E2 occurs= P(E2)= 0.030

Since the two events does not depend on each other, E1 and E2 are independent events.

For two independents E1 and E2 , the probability that both E1 and E2 occurs simultaneously is P(E1 ∩ E2) is given by:

P(E1 ∩ E2) = P(E1)*P(E2)

Probability that both A and B dies in next 20 years = $0.025\times0.03=0.00075$

Probability that A will die and B will not die is given by=

P(E1 ∩ E2') = P(E1) - P(E1 ∩ E2) = 0.025 - 0.00075 = 0.02425.

Probability that neither A nor B dies is given by=

P(E1' ∩ E2') = 1 - [ P(E1 ∪ E2) ] = 1 - [ P(E1) + P(E2) - P(E1 ∩ E2) ]

= 1 - [0.025 + 0.030 - 0.00075] = 0.94575

4 0

3 years ago

Solve cos(2x)=1-sin(x)

Vedmedyk [2.9K]

Given:

$cos(2x)=1-sin(x)$

Expanding using double angle formula,

$1 - 2 \sin^{2} (x) = 1 - \sin(x)$

Rearranging into a single equation,

$1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0$

Combining like terms,

$- 2 \sin^{2} (x) + \sin(x) = 0$

Now multiplying each term by -1,

$2 \sin^{2} (x) - \sin(x) = 0$

Factor greatest common factors out,

$\sin(x)(2 \sin(x) - 1) = 0$

Applying Zero property rule,

$\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0$

• Solve the trignometric equation to find a particular solution,

$x = 0 \: or \: x = π$

$= > x = 2nπ \: or \: x = π + 2nπ$

• Find the union of the solution sets,

$x = nπ$ }

• Rearrange unknown terms to the left side,

$2 \sin(x) = 1$

• Divide both sides of the equation by the coefficient of variable,

$\sin(x) = \frac{1}{2}$

• Solve the trignometric equation to find a particular solution,

$x = \frac{π}{6} \: or \: x = \frac{5π}{6}$

$= > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

}

☆ Now finding the union of both sets

$x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

Hence, the answer is $x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

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3 years ago

Solve. x + 3 5 = 2 A) -5 B) -3 Eliminate C) 7 D) 13

Kay [80]

What does the eliminate mean?

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3 years ago

Question: which glue is the best to fix a broken heart?

marissa [1.9K]

Answer:

gorilla glue

Step-by-step explanation:

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3 years ago

Read 2 more answers

Jan uses 22.5 gallons of water in the shower. This amount is 7.5 gallons less than what she uses when washing her clothes. Write

arsen [322]

22.5 (shower) = X (variable used in place of the amount of water she uses to wash clothes) - 7.5 (the amount she used in the shower is 7.5 gallons less than she uses for washing clothes)

22.5 = X - 7.5 《 This is the equation.

Solve is by adding 7.5 to both sides to cancel out the negative 7.5 and you get (X = 30).

3 0

3 years ago

1. Identify the number of terms in theexpression 9m + 7.:​

1. Identify the number of terms in theexpression 9m + 7.: