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Juli2301 [7.4K]
3 years ago
11

After 3/4 of a minute a sloth has moved 3/8 of a foot . What is the sloths speed in feet per minute

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

1/2  ft/min

Step-by-step explanation:

Find the unit rate:

3/8 ft

------------

3/4 min

Cancelling the 3s, we get:

1 ft

------

  8

=============

1 min

-----------

   4

Now invert the divisor (1 min/ 4) and multiply:

1 ft       4

----- * --------- = (1/2) ft/min

  8     1 min

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3 years ago
A few years​ ago, a census bureau reported that​ 67.4% of American families owned their homes. Census data reveal that the owner
STatiana [176]

Answer:

The hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

Step-by-step explanation:

In this case we need to determine whether the city should continue with plan of offering tax breaks to first-time home buyers in order to encourage people to become homeowners.  

It is provided that, a few years ago, a census bureau reported that 67.4% of American families owned their homes.  

But the Census data reveal that the ownership rate in one small city is much lower.

So, to improvise this the city council wants to offer tax breaks to first-time home buyers in order to encourage people to become homeowners.  

They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks.

To determine whether the city council should continue with the plan or not, the hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

4 0
3 years ago
Read 2 more answers
Need Answer Immediately!!!!!
Fiesta28 [93]
<h2>Answer:</h2>

y = \frac{-5}{4}x + 3

<h2>Step-by-step explanation:</h2>

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c <em>or            </em>-------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope <em>m</em> given by;

m = \frac{y_2 - y_1}{x_2-x_1}

m = \frac{-2-3}{4-0}

m = \frac{-5}{4}

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = \frac{-5}{4} into equation (ii) as follows;

y - 3 = \frac{-5}{4}(x - 0)

(iv) Solve for y from (iii)

y - 3 = \frac{-5}{4}x

y = \frac{-5}{4}x + 3 [This is the slope intercept form of the line]

Where the slope is \frac{-5}{4} and the intercept is 3

8 0
3 years ago
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