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2 years ago

7/5 miles in 2/3 hour, what is the unit rate?

Mathematics

1 answer:

Murljashka [212]2 years ago

3 0

Answer:

= 3.5 miles per hour

Showing Work

This is a fraction equal to

7 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7 miles ÷ 2

2 hours ÷ 2

3.5 miles

1 hour

3.5 miles

hour

= 3.5 miles per hour

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A data set consists of the values 2, 6, 3, and 1. If we consider this a population (all the values available), the variance isA.

Hoochie [10]

Answer: E. none of the above

Step-by-step explanation:

The given data values that represents the population:

2, 6, 3, and 1.

Number of values : n=4

Mean of the data values = $\dfrac{\text{Sum of values}}{\text{No. of values}}$

$\dfrac{2+6+3+1}{4}=\dfrac{12}{4}=3$

Sum of the squares of the difference between each values and the mean =

$(2-3)^2+(6-3)^2+(3-3)^2+(1-3)^2$

$=-1^2+3^2+0^2+(-2)^2$

$=1+9+0+4=14$

Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)

= (14) ÷ (4)= 3.5

Hence, the variance is 3.5.

Therefore , the correct answer is "E. none of the above".

8 0

3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

2 years ago

The line represents the number of packs of gum, y, remaining at a concession stand after x minutes.

Sav [38]

Answer:

B. the initial number of packs of gum

Step-by-step explanation:

Another name for y-intercept is initial value.

I am joyous to assist you anytime.

8 0

2 years ago

Find the unknown side length. Simplify radical answers.

AveGali [126]

The answer is 22 Bc it is

4 0

3 years ago

Read 2 more answers

The surface area of a rectangular prism is 208 cm2. Two of the dimensions are 2cm and 10cm. Find the measure of the other dimens

aliina [53]

Answer:

7 cm

Step-by-step explanation:

SA = 208 cm^2

SA= 2*a*b + 2*a*c + 2*b*c

where:

a= first dimension = 2 cm

b= second dimension = 10 cm

c= third dimension

so we have:

208= 2*2*10 + 2*2*c + 2*10*c

208= 40 + 4c + 20c

208-40= 24c

168=24c

c =168/24

c = 7cm = third dimension

3 0

2 years ago