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3 years ago

How do i solve log_8(5x+4)=3x-4

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

use a calculator

Step-by-step explanation:

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3 years ago

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At an amusement park, guests have to take either a train or a boat 14 miles from the parking lot to the front entrance and then

Sedaia [141]

Answer:

$\frac{7}{6} hours$

Step-by-step explanation:

Distance for one way = 14 miles

The boat goes an average speed of 20 mph

The train goes 10 mph faster than the boat.

Speed of train = 20+10 = 30 kmph

Abdul takes the train into the park and the boat on his way back.

Time taken for going into park by train = $\frac{Distance}{\text{Speed of train}}$

= $\frac{14}{30}$

Time taken for going back by boat = $\frac{Distance}{\text{Speed of train}}$

= $\frac{14}{20}$

So, total time = $\frac{14}{30}+\frac{14}{20}=\frac{7}{6} hours$

Hence the round trip take $\frac{7}{6} hours$

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3 years ago

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds

Roman55 [17]

Answer:

The probability that he weighs between 170 and 220 pounds

P( 170 ≤ x≤ 200) = 0.3811

Step-by-step explanation:

Explanation:-

Given mean of the Population = 200 pounds

Given standard deviation of the Population = 50 pounds

Let 'X' be the random variable of the weights of college football players are normally distributed.

Let x₁ = 170

$Z_{1} = \frac{x_{1} - mean}{S.D}$

$Z_{1} = \frac{170 - 200}{50}= -0.6$

Let x₂ = 220

$Z_{2} = \frac{x_{2} - mean}{S.D}$

$Z_{2} = \frac{220 - 200}{50}= 0.4$

The probability that he weighs between 170 and 220 pounds.

P( 170 ≤ x≤ 200) = P(Z₁ ≤z≤Z₂)

= P(-0.6 ≤z≤0.4)

= P(z≤0.4)-P(z≤-0.6)

= 0.5 + A(0.4) -(0.5 - A(-0.6)

= A(0.4) + A(0.6) A(-z) = A(z)

= 0.1554 +0.2257 ( check Areas in normal table)

= 0.3811

Conclusion:-

The probability that he weighs between 170 and 220 pounds

P( 170 ≤ x≤ 200) = 0.3811

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3 years ago