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3 years ago

15

How do i write a linear equation and graph it

1 answer:

marusya05 [52]3 years ago

6 0

Y= mx+b
b= y intercept
mx= slope
slope= rise/run

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What is the value of 38.07÷9.4. <br><br>F)0.1453<br>G)1.453<br>H)14.53<br>I) 145.3

Natasha_Volkova [10]

I'm pretty sure the answer is G. I'm not 100% sure tho. Hope this helps! :)

5 0

3 years ago

John can type 45 words per min (45/min) he has to type a report for Mrs. Ramey that must be 2700 words. How many hours will it t

Sav [38]

Answer:

It will take 1 hour to type the report.

Step-by-step explanation:

The time that will take to John to type the report is:

$\frac{1 min}{45 w}*2700 w = 60 min$

Since we have 60 minutes in 1 hour, the time in hours is:

$\frac{1 h}{60 min}*60min = 1 h$

Therefore, it will take 1 hour to type the report.

I hope it helps you!

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3 years ago

$3,300 principal earnings 4% compounded annually after 3 years

Hoochie [10]

Answer: 396

Step-by-step explanation:

It is 396 because you change the percentage to a decimal and then multiply it by the big number and one you have done that you multiply it again by 3.

7 0

3 years ago

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0

3 years ago

Iap/mmkj/aoe pls come

Umnica [9.8K]

Answer:

cap

Step-by-step explanation:

7 0

3 years ago