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Finger [1]
3 years ago
8

Zachary travels on a journey of 50 miles. He spends half

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0

Answer: 8 hours.

Step-by-step explanation:

We have the relation:

Time  = distance/velocity

Distance = 50 miles

Velocity in horse = 9mph

Velocity walking = 3 1/2 mph = 3.5 mph

Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:

X + Y = 50 miles:

T/2 = X/9mph

T/2 = Y/3.5mph

Then we have:

X/9mph = Y/3.5mph

X = Y*(9/3.5)

And by the first relation:

X = 50 mi - Y

then we have:

50mi - Y = Y*(9/3.5)

50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57

Y = 50mi/3.57 = 14mi

Then we have:

T/2 = 14mi/3.5mph

T = 2*(14/3.5) hours = 8 hours

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What compound inequality describes this graph
nadezda [96]

Answer:

0≥x<4

Step-by-step explanation:

first, let's look at this number line.

there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).

these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.

x is in the middle of this compound inequality.

0    x    4

now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:

0≥x<4

x is greater than or equal to 0, but less than 4

4 0
3 years ago
What is this awnser? 2/5y=4
MA_775_DIABLO [31]

Answer:

\frac{2}{5}y=4\quad :\quad y=10

4 0
3 years ago
Read 2 more answers
The ordered pairs in the table represent a linear function.
Illusion [34]

Answer:

If x = 7 y = 20

Step-by-step explanation:

As the x goes up by 1 you see that the y goes up by 2.

y = 2x + 6

Using that equation gets you your y

y = 2(7) + 6

y = 14 + 6

y = 20

6 0
3 years ago
A variable is normally distributed with mean 6 and standard 2 deviation .
Tju [1.3M]

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

<h3>What is a normal distribution?</h3>

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

               = P(z<1.5) - P(-0.5<z)

               = 0.9332 - 0.3085

               = 0.6247

               = 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

          = 1-0.0062

          = 0.9938

          = 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

           = P(z<-1)
           = 0.1587

           = 15.87%

Learn more about Normal Distribution:

brainly.com/question/15103234

#SPJ1

8 0
2 years ago
17,22,36,55,61,79 what is the median
Lunna [17]

Median is the middle number. To find median, the numbers must be ordered from least to greatest. The numbers are already ordered.

17,22,36,55,61,79

The middle numbers are 36 and 55, with 2 numbers on each side.

a, b, c, d, e, f

Add the 2 numbers and divide by 2

36 + 55 = 91

Now divide by 2

91 \div 2 = 45.5

The median is 45.5

6 0
3 years ago
Read 2 more answers
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