Mario's unit rate is given by 900 miles/hour.
Explanation:
We have been given that Mario walked at a rate of 2/3 miles every 10 minutes.
We have the relation between speed, time and distance, which is given by
We have,
Distance = 
Time = 10 minutes
On substituting these values in the above formula, we get
![\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15}](https://tex.z-dn.net/?f=%5Ctext%7BSpeed%7D%20%3D%20%5Cfrac%7B2%2F3%7D%7B10%7D%5C%5C%5C%5C%20%5Ctext%7BSpeed%7D%20%3D%5Cfrac%7B2%7D%7B10%5Ccdot%203%7D%5C%5C%5C%5C%20%5Ctext%7BSpeed%7D%20%3D%5Btex%5D%5Cfrac%7B1%7D%7B15%7D)
\text{ miles/min}[/tex]
We have to find the unit rate in mile per hour, so we need to multiply it by 60
Thus, unit rate is given by
Answer:
0.13%
Step-by-step explanation:
Mean, u = 17.4%
standard deviation, sd = 27.5%
We are looking for the probability that the money will double in value. Therefore we are looking for the value of x = 100% (meaning the value is 100% more that the previous year)
Find the value of z-score
z = (x-u)/sd
= (100 - 17.4) / 27.5 = 3.003
Find the z score using the z-table
From z-table at P(z<3.003) = 0.9987
So, for the probability that it the money will be double is
P (Z>2.8982) = 1 - P(z<2.8982)
= 1- 0.9987
= 0.0013 = 0.13%
Answer:
hope it helps...
Step-by-step explanation:
25/100 x 79
= 19.75
= 79 - 19.75
= $59.25 (before tax)
7/100 x 59.25
= 414.75/100
= 4.15
= 59.25 + 4.15
= $63.4 (after adding tax)
First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.
The <em><u>correct answer</u></em> is:
Box 2
Explanation:
In these expressions, x represents the width of the box. We are asked about widths greater than 1; let's us 1.1 as an example:
Box 1:
3(1.1⁵) = 4.83153
Box 2:
4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794
With a difference as small as a tenth, the volume of box 2 is larger. The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.
CF is a radius = 7.5 units
To find GC we will use the Pythagorean theorem.GC² = 10² + 7.5²
GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5
GF = 12.5 + 7.5 = 20
Answer: 20 units
