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pickupchik [31]
3 years ago
12

-90 = -100 + x what value of X makes that equation true

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
7 0

Answer:

it would be 10

Step-by-step explanation:

-100+10=-90

Strike441 [17]3 years ago
5 0

Answer:

10

Step-by-step explanation:

-100+10 = -90

<em>h</em><em>ope </em><em>this </em><em>helps </em><em>have </em><em>a </em><em>good </em><em>day </em><em>:</em><em>)</em><em>!</em>

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Matthew drank 0.375 liters of milk. Write how much milk Matt drank as a fraction. liters
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375/1000 = 0.375 as a fraction

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The answer is 3/8

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The salary of members of two governing bodies in 2008 was ​$
OLEGan [10]

<u>Complete Question</u>

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

\left|\begin{array}{c|c}-------&------\\$Years since 2008&$Salary (thousands of dollars)\\-------&------\\0&(2*--) + --\\1&(2*--) + --\\2&(2*--) + --\\3&(2*--) + --\\4&(2*--) + --\\t&(2*--) + --\end{array}\right| \\

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer:

(a) S(t)=2t+167.2

(b) S(5)=$177.2 thousand.

Step-by-step explanation:

(a)

The salary increases by $2 thousand per year since 2008. Therefore, the completed table is below:

\left|\begin{array}{c|c}-------&------\\$Years since 2008&$Salary (thousands of dollars)\\-------&------\\0&(2\cdot 0) + 167.2\\1&(2\cdot 1) + 167.2\\2&(2\cdot 2) + 167.2\\3&(2\cdot 3) + 167.2\\4&(2\cdot 4) + 167.2\\t&(2\cdot t) + 167.2\end{array}\right| \\

Therefore, an expression that gives the salary (in thousands of dollars) of members of the two governing bodies t years since 2008 is:

S(t)=2t+167.2

(b)

When t=5

S(5)=2*5+167.2\\S(5)=177.2

This means that 5 years after 2008 (i.e Year 2013) the salary of members of the two governing bodies will be approximately $177.2 thousand.

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According to Reuters, a survey undertaken by the National Center for Health Statistics revealed that about 25% of U.S. household
ddd [48]

Answer:

a) P=0.8

b) P=0.67

c) P=0.05

d) P=0.33

e) P=0.45

Step-by-step explanation:

a. What is the probability that the household has only a cell phone and has high-speed Internet?

This probability is stated in the question: "Suppose of U.S. households having only a cell phone, 80% have high-speed Internet", so the probability is P=0.8.

P(C\&I)=0.8

b. What is the probability that the household has only a cell phone or has high-speed Internet?

This probability is equal to the sum of the probability of having only a cell phone and the probability of having high-speed internet, less the probability of having both (to avoid counting this household twice).

P(C\,orI\,)=P(C)+P(I)-P(C)*P(I|C)=0.25+0.65-(0.25*0.8)=0.25+0.62-0.20=0.67

c. What is the probability that the household has only a cell phone and does not have high-speed Internet?

This is equal to the probability of not having high-speed internet given that it has a cell phone (complementaty of the proability of Point (a)) multiplied by the probability of having a cell phone.

P(C\&\bar I)=P(\bar I|C)*P(C)=(1-P(\I|C))*P(C)=(1-0.8)*0.25 = 0.2*0.25 = 0.05

d. What is the probability that the household does not have just a cell phone and does not have high-speed Internet?

This probability is complementary of the one calculated in Point (c).

P(\bar C \,or\, \bar I)=1-P(C\, or\,I)=1-0.67=0.33

e. What is the probability that the household does not have just a cell phone and does have high-speed Internet?

This is equal to the probability of having high-speed internet less the probability it has both (cell phone and internet).

P(\bar C\&I)=P(I)-P(I|C)*P(C)=0.65-0.8*0.2=0.65-0.2=0.45

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