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3 years ago

8z=4(2z+1) show step by step

1 answer:

5 0

8z=4(2z+1)
First you would distribute the constant into the numbers in the parentheses. so
8z=8z+4
then you would combine like terms which in this case would result in a zero.
8z-8z=0 So the z would be zero or no solution.

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The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner

sergey [27]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = $23.66\ mph$

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = $\frac{2292}{23.66} = 96.87\ hrs$

Now converting $0.87\ hrs$ into minutes we get;

$0.87\times 60= 52.2\approx 52\ mins$

Hence the winner completed the race in 96 hours and 52 minutes.

3 0

3 years ago

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of t

Bas_tet [7]

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that $\mu = 0.6$

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878$

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122$

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

6 0

3 years ago

A restaurant has 26 tables in it’s dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate,how lo

12345 [234]

It will take the waitstaff 65 minutes

3 0

3 years ago

We have a negative relationship between number of drinks consumed and number of marks in a driving test. One individual scores 3

lbvjy [14]

Answer:

C. Driving test scores (y-axis) will be 9 [individual who scored 3 on drink consumption and 3 [individual who scored 5 on drink consumption].

Correct as we can see:

$y(3) =-3(3) +18 = -9 +18 =9$

$y(5) =-3(5) +18 = -15 +18 =3$

Step-by-step explanation:

Let's define some notation:

y= represent the driving test scores

x= represent the number of drinks consumed

We know this info given: "What will be their respective scores on the driving test if the intercept is 18 and the slope -3?" So then we can create the following linear model:

$y = -3x +18$

And now we have two values for x we can replace and see what we got:

$y(3) =-3(3) +18 = -9 +18 =9$

$y(5) =-3(5) +18 = -15 +18 =3$

And if we analyze one by one the options we got this:

A. Driving test scores (y-axis) will be 27 [individual who scored 3 on drink consumption and 33 [individual who scored 5 on drink consumption].

False.

$y(3) =-3(3) +18 = -9 +18 =9$

$y(5) =-3(5) +18 = -15 +18 =3$

B. It is not possible to predict from negative relationships.

False, we have the linear model given and we can find the predicted values.

C. Driving test scores (y-axis) will be 9 [individual who scored 3 on drink consumption and 3 [individual who scored 5 on drink consumption].

Correct as we can see before:

$y(3) =-3(3) +18 = -9 +18 =9$

$y(5) =-3(5) +18 = -15 +18 =3$

D. Driving test scores (y-axis) will be 51 and 87 [individual who scored 5 on drink consumption].

False.

4 0

3 years ago

Deena drinks 2 cups of milk per day. She buys 5 quarts of milk. How many days will her 5 quarts of milk last?

Luden [163]

Answer:

10 days

Step-by-step explanation:

Given data

Deena drinks 2 cups of milk per day

from table

1 cup = 0.25 quarts

Hence she drinks

0.5quarts per day

Hence if 0.5quarts last for 1 day

5quarts will last x days

cross multiply

0.5x= 5*1

x= 5/0.5

x=10 days

5 0

3 years ago