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3 years ago

Please need help to answer the question in 5 minutes?

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

Answer:

22 7/18 pounds

Step-by-step explanation:

A: 15 1/2 pounds

B: 15 1/2 x 1/3 = 5 1/6

C: 5 1/6 x 1/3 = 1 13/18

A+B+C = 15 1/2 + 5 1/6 + 1 13/18 = 403/18 = 22 7/18

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An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%.

alekssr [168]

Answer:

X = 'is the athlete injured' (X in {0,1})

Y = 'the athlete wins' (Y in {0,1})

P(Y=1|X=0) = 0.75

P(Y=1|X=1) = 0.15

P(Y=1) = 0.51

We are looking for P(X=1) - P(Y=1) = P(Y=1|X=0)*(1-P(X=1)) + P(Y=1|X=1)*P(X=1)

The above equation should provide you with the answer 0.4!

Step-by-step explanation:

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1 year ago

The equation y-1=-7(x-3) is written in point-slope form. What is the y-intercept of the line?

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Answer:

Step-by-step explanation:

-7(x-3)

y-1+1=-7x+21

y=-7x+22

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2 years ago

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A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of reachi

hodyreva [135]

Step-by-step explanation:

$6 + 2 + 4 + 1 = 13 \\ p = \frac{2}{13}$

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2 years ago

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Tell whether the equation is true. Justify your answer.<br><br>24x3+(15-7)÷2=8x9+12÷2

Mashcka [7]

False
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2 years ago

A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

7 0

2 years ago