44 is the same as 113 more than w

Joseph is running up and down the stadium stairs for exercise. Each step is 8 inches high and there are a total of 50 stairs. Jo

Alex17521 [72]

The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.

Solution:

Given that,

Each step is 8 inches high

There are a total of 50 stairs

So the height of 50 stairs is:

Height of 50 stairs = 50 x 8 = 400 inches

Joseph makes 10 round trips up and down the stairs

So, joseph has went up 10 times and he came down 10 times

We need to find the distance he has traveled vertically in the combined trips

Therefore,

Number of times he went up = 10

We know that,

height of 50 stairs = 400 inches

Therefore,

Distance traveled up = 10 x 400 = 4000 inches

Convert to yard

1 yard = 36 inch

Therefore,

$4000\ inch = \frac{4000}{36}\ yard = 111.111\ yards$

Therefore, the distance he has traveled vertically to the nearest yard in combined trip is 111 yards

8 0

3 years ago

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando

Lisa [10]

Answer:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

Step-by-step explanation:

$m=\frac{S_{xy}}{S_{xx}}$

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833$

And the slope would be:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

5 0

2 years ago

To reduce 32 grams of a 25% antiseptic solution to a 10% antiseptic solution, how much pure water should a pharmacist add?

Mice21 [21]

Answer:

48

Step-by-step explanation:

(25*32)+(0*x)=10*(32+x)

800+0=320+10x

480=10x

x=48

Please mark as Brainliest! :)

Have a nice day.

5 0

2 years ago

Directions: Indicate the FOIL for the problem: (3x-2)(2x-3) First

MrRissso [65]

Answer:

$6x^{2} +9x -4x+6\\$

Step-by-step explanation:

First you take 3x times 2x since its the first of both equations, which will give you 6x squared.

Then take the outer ones of both problems which is 3x times 3 which is 9x.

Then the inner, -2 times 2x which is -4x

Then the last of both individual problems which is -2 times -3 which is positive 6.

8 0

1 year ago

The vertex of this parabola is at (4,-3). which of the following could be its equation?

Mama L [17]

The answer is A.
I used the formula for finding the vertex of a parabola and I got the first answer choice. So A is correct. :)

6 0

3 years ago

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