Write the phrase as an algebraic expression: 2 more than the product of 7 and a number y

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m

Marta_Voda [28]

Answer:

$\bar X = \frac{2276}{48}=47.417$

If we compare this value with the 47.3 proposed we have the following error

$Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%$

The computed mean is close to the actual mean because the difference between the means is less than 5%.

Step-by-step explanation:

Assuming the following dataset:

Speed 42-45 46-49 50-53 54-57 58-61

Freq. 21 15 6 4 2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

$\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}$

And is useful construct a table like this one:

Speed Freq Midpoint Freq*Midpoint

42-45 21 43.5 913.5

46-49 15 47.5 712.5

50-53 6 51.5 309

54-57 4 55.5 222

58-61 2 59.5 119

Total 48 2276

And the mean is given by:

$\bar X = \frac{2276}{48}=47.417$

If we compare this value with the 47.3 proposed we have the following error

$Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%$

The computed mean is close to the actual mean because the difference between the means is less than 5%.

6 0

3 years ago

How many 30° angles does it take to make a full turn?

sergejj [24]

360 degrees is a full turn, so if you multiply 30 degreed by 12, you go around in a circle.

8 0

3 years ago

If y varies directly with x and y = 87 when x = 3, find y when x = 5. Write and solve a direct variation equation to find the an

Amanda [17]

Answer:

145

Step-by-step explanation:

y=kx

87=3k

k= 87/3

k= 29

y=29×5

y= 145

5 0

2 years ago

Six fifths of what number is 60?

Crazy boy [7]

<h3>Hey Buddy,</h3>

<h3>Answer :-</h3>

Answer is 72 .

<h3><u>Explanation :-</u></h3>

$\frac{6}{5} \: of \: what \: number \: is \: 60 \:$

You probably , Know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well .

• Any number can be converted to fraction if you use 1 as the denominator:

$\frac{60}{1}$

• So now that we've converted 60 into a fraction, to work out the answer, we put the fraction 6/5 side by side with our new fraction, 60/1 so that we can multiply those two fractions.

• convert the whole number to a fraction and then multiply the numerators and denominators.

$\frac{6 \times 60}{5 \times 1} = \frac{360}{5}$