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alexira [117]
3 years ago
7

Thalia jogged 3/4 of a mile in 1/6 of an hour. At what average speed did Thalia jog?

Mathematics
2 answers:
Feliz [49]3 years ago
5 0

The average speed is calculated by finding the ratio of total distance covered so far over total time taken for it.

Given is the total distance covered = \frac{3}{4} \;miles

Given is the total time taken = \frac{1}{6} \;hours

We know the formula for Average Speed is given as follows :-

Average \;Speed = \frac{Total \;Distance}{total \;time} \\\\ Average \;Speed = \frac{\frac{3}{4} \;miles}{\frac{1}{6} \;hours} \\\\   Average \;Speed = \frac{3}{4} *\frac{6}{1} \;miles \;per \;hour \\\\ Average \;Speed = \frac{18}{4} \;miles \;per \;hour \\\\ Average \;Speed = \frac{9}{2} \;miles \;per \;hour \\\\ Average \;Speed = 4.5 \;miles \;per \;hour \\\\

Hence, the Average Speed was 4.5 miles per hour.

TEA [102]3 years ago
4 0
9/2 mph. You would need to multiply both by six to get exact mph, and three fourths times six is 18/4=9/2=4.5 mph
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8 0
3 years ago
Pls Answer..........................................
Vlad1618 [11]

Answer:

C= 27

G= 37

J=57

Z= 1

Step-by-step explanation:

These are the degrees because of the Triangle Sum Theorem which states that The sum of the measures of the angles in a triangle is 180°. So angle C for example is 27 because angle A is 53 and angle B is 100 add both of those and you get 153 so our equation would be 153+c=180, c being the angle, so then to solve this you do do 180-153 and that equals 27 so therefore, 153+27=180. This process applys to all the other angles as well ^w^

3 0
3 years ago
Hayley is considering two gym membership plans. The plans are detailed here.
mote1985 [20]
<span>Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

So, the monthly pass is 50 plus 3 for each visit. You know 50 stays constant no matter how much Hayley goes to the gym so you can already put that into the form as 'b' also known as the y-intercept.

y=mx+50

Now, you need to find the slope which is the amount it increases or decreases by every time. Since Hayley gets charged $3 every visit, that would be the slope (m).

Plan 1: y=3x+50

---------------------------------------------------------
</span><span>
Plan 2: $10 for each gym visit
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There is only a slope (m) for this. Technically there is a y-intercept (b), but since that is 0 it is not needed. Plug in the values.

y=mx+b
y=10x

6 0
3 years ago
Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, variance, and standard devia
jeyben [28]

Answer:

The range is 77.

The variance is 739.8.

The standard deviation is 27.2.

Step-by-step explanation:

The data provided, in ascending order is as follows:

S = {11 , 14 , 23 , 31 , 40 , 60 , 63 , 68 , 75 , 77 , 88}

The range of a data set is the difference between the maximum and minimum values.

From the above data set we know,

Maximum = 88

Minimum = 11

Compute the range as follows:

Range = Maximum - Minimum

           = 88 - 11

           = 77

The range is 77.

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum x_{i}=\frac{1}{11}\times [11+14+23+...+88]=50

Compute the variance as follows:

\sigma^{2}=\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}

    =\frac{1}{11-1}\times [(11-50)^{2}+(14-50)^{2}+...+(88-50)^{2}]\\\\=\frac{1}{10}\times 7398\\\\=739.8

The variance is 739.8.

Compute the standard deviation as follows:

\sigma=\sqrt{\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}}=\sqrt{739.8}=27.199265\approx 27.2

The standard deviation is 27.2.

4 0
3 years ago
Part B is easy I just need part A
lions [1.4K]

Answer:

80 feet

Step-by-step explanation:

According to the tangent-secant theorem, the square of the tangent length is equal to the product of the secant segment and the external portion.

In other words:

30² = (10 + x) (10)

900 = 100 + 10x

800 = 10x

x = 80

3 0
3 years ago
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