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kakasveta [241]
1 year ago
10

An elevator went up 15 floors, down 9 floors, up 11 floors and down 19 floors. Find the net change

Mathematics
2 answers:
mariarad [96]1 year ago
8 0

Answer:

The net change would be -2.

Step-by-step explanation:

The upward change of elevator is represented by positive sign while the downward change represented by negative sign.

Given,

First the elevator goes up 15 floors,

change = + 15,

Then it goes 9 floors down,

change = -9,

Then it goes 11 floors up,

Change = + 11,

Finally, it goes 19 floor down,

Change = - 19

So, the net change = sum of total changes = 15 - 9 + 11 - 19 = -2

Slav-nsk [51]1 year ago
3 0
15u + 11u - 9d - 19d = -2d
It went up 26, down 28, a net change of down 2.
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A bicycle is traveling at 20 feet per minute. What is the bicycle's speed expressed in inches per second?
Vikentia [17]

Answer:

4 inches per second

Step-by-step explanation:

Speed = distance/time

Given

Distance = 20 feet

12 inches = 1 foot

X inches = 20 feet

X = 20 x 12 = 240 inches

Time = 1 minute = 60 secs

Therefore

Speed = 240/60

= 4 inches per second

7 0
2 years ago
(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the
Vanyuwa [196]

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal

6 0
2 years ago
An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4
Y_Kistochka [10]

Answer:

  • Fantasy: 3 barrels
  • Ecstasy: 1 barrel

Step-by-step explanation:

<u>Given</u>

  Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

  Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

  In stock are 16 lb of nuts, 10 lb of chocolate

<u>Find</u>

 amount of each to maximize profit

<u>Solution</u>

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

  4x +4y ≤ 16 . . . lb of nuts

  3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

  50x +40y

The graph shows the feasible region. Its vertices are ...

  (0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

8 0
2 years ago
Area of a horse pen=<br> ma<br> (40 meters width &amp; 85 meters in length)
beks73 [17]

Answer:

3400 m2

Step-by-step explanation:

4 0
2 years ago
Suppose the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations. Th
madreJ [45]

Answer:

<em>H₀</em>: <em>μ</em>₁ = <em>μ</em>₂ vs, <em>Hₐ</em>: <em>μ</em>₁ > <em>μ</em>₂.

Step-by-step explanation:

A two-sample <em>z</em>-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.

It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.

The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:

<em>H₀</em>: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. <em>μ</em>₁ = <em>μ</em>₂.

<em>Hₐ</em>: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. <em>μ</em>₁ > <em>μ</em>₂.

The significance level of the test is:

<em>α</em> = 0.05.

The test is defined as:

z=\frac{(\bar x_{1}-\bar x_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}}}

The decision rule for the test is:

If the <em>p</em>-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.

6 0
2 years ago
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