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GalinKa [24]
3 years ago
8

Write the equation y = 0.445x + 14.7 as function P.

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Given:

The equation is

y = 0.445x + 14.7

To find:

The given equation as function P.

Solution:

We have, the given equation y = 0.445x + 14.7, to write it as a function P, we need to substitute y=P(x) in the given equation.

On substituting y=P(x) in equation y = 0.445x + 14.7, we get

P(x)= 0.445x + 14.7

Therefore, the required function is P(x)= 0.445x + 14.7.

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1. Consider the rational numbers 4/13 and 3/10.
Murljashka [212]

A)4/13 would be the larger number since if you were to try to add them, 4/13 = 40/130 and 3/10 = 39/130, 40/130 > 39/130

B) A rational number between them would be 39.5/130.

5 0
3 years ago
If a coin is tossed three times, find probability of getting
Assoli18 [71]

{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}

‣ A coin is tossed three times.

{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}

‣ The probability of getting,

1) Exactly 3 tails

2) At most 2 heads

3) At least 2 tails

4) Exactly 2 heads

5) Exactly 3 heads

{\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}

\star \: \tt  P(E)= {\underline{\boxed{\sf{\red{  \dfrac{ Favourable \:  outcomes }{Total \:  outcomes}  }}}}}

{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}

★ When three coins are tossed,

then the sample space = {HHH, HHT, THH, TTH, HTH, HTT, THT, TTT}

[here H denotes head and T denotes tail]

⇒Total number of outcomes \tt [ \: n(s) \: ] = 8

<u>1) Exactly 3 tails </u>

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

\therefore  \sf Probability_{(exactly  \: 3 \:  tails)}  =  \red{ \dfrac{1}{8}}

<u>2) At most 2 heads</u>

[It means there can be two or one or no heads]

Here

• Favourable outcomes = {HHT, THH, HTH, TTH, HTT, THT, TTT} = 7

• Total outcomes = 8

\therefore  \sf Probability_{(at \: most  \: 2 \:  heads)}  =  \green{ \dfrac{7}{8}}

<u>3) At least 2 tails </u>

[It means there can be two or more tails]

Here

• Favourable outcomes = {TTH, TTT, HTT, THT} = 4

• Total outcomes = 8

\longrightarrow   \sf Probability_{(at \: least \: 2 \:  tails)}  =  \dfrac{4}{8}

\therefore  \sf Probability_{(at \: least \: 2 \:  tails)}  =   \orange{\dfrac{1}{2}}

<u>4) Exactly 2 heads </u>

Here

• Favourable outcomes = {HTH, THH, HHT } = 3

• Total outcomes = 8

\therefore  \sf Probability_{(exactly \: 2 \:  heads)}  =  \pink{ \dfrac{3}{8}}

<u>5) Exactly 3 heads</u>

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

\therefore  \sf Probability_{(exactly \: 3 \:  heads)}  =  \purple{ \dfrac{1}{8}}

\rule{280pt}{2pt}

8 0
1 year ago
Bella saw that 7 out of 11 people brought an umbrella to the beach. There 99 people there. How many of them did not have a beach
Alinara [238K]
Hello!

7 out of 11 people brought an umbrella to the beach

this is a fraction of 7/11

We multiply this by 99 to get how many people brought an umbrella out of 99

7/11 * 99 = 63

You subtract this from 99 to see how many did not have an umbrella

99 - 63 = 36

The answer is 36 people

Hope this helps!
7 0
3 years ago
2. The price of a gallon of gas was $2.95 on Monday. On Wednesday, the price of a gallon of gas rose to $3.15. How much did the
wolverine [178]

Answer:

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Step-by-step explanation:

2.95-3.15

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Suppose a parabola has an axis of symmetry at x = -2, a minimum height at -6, and passes through the point (0, 10). Write the eq
lesantik [10]
What answer choices that you have 
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