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3 years ago

7

Find the value xplease help

1 answer:

Aleks [24]3 years ago

6 0

Answer:

Step-by-step explanation:

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Evaluate f(t)=-2t2+ 1 for f(-3).

podryga [215]

Answer:

7

Step-by-step explanation:

First, plug-in f(-3) into t in the function:

$f(-3)=-2(-3) +1$

Second, multiply -2 and -3 to get 6:

$f(-3)=-2(-3)+1$ ⇒ $f(-3)=6+1$

Third, add 6 and 1 to get your answer:

$f(-3)= 6+1$ ⇒ $f(-3)=7$

3 0

3 years ago

4. Kenneth needs to repaint a wall in his bathroom. The wall is 8 feet high and 14 feet long. Part of

AlexFokin [52]

Answer:

96 * 144 - 168 * 42

Step-by-step explanation:

So the area of the wall is 96 * 144

And the area of the tiled part is 168 * 42

So it would be 96 * 144 - 168 * 42

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

What is the inverse function of f(x) = -2?<br> Hurry please

notsponge [240]

Answer:

A

Step-by-step explanation:

2x/x-1

4 0

3 years ago

Dominic ordered 210 pens. He divided them equally among his 10 friends. One of his friends, Benjamin, already had 27 pens. Then,

photoshop1234 [79]

Answer:

35

Step-by-step explanation:

210/10=21 pens per friend

21+27=48 pens for benjamin

48-13=35 pens left

benjamin has 35 pens now

7 0

3 years ago