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2 years ago

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Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last yea

r. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63.

1 answer:

Yuri [45]2 years ago

7 0

I’m not sure. sorry !

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Simplify the complex fraction. 8/5 divide by 6 3/4 *

hichkok12 [17]

Step-by-step explanation:

$\frac{8}{5}$ ÷6 $\frac{3}{4}$

First, simplify the 6 $\frac{3}{4}$ to an improper fraction, which is:

$\frac{27}{4}$

Next rewrite the equation using the improper fraction:

$\frac{8}{5}$ ÷ $\frac{27}{4}$

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.

$\frac{8}{5}$ · $\frac{4}{27}$

Finally, multiply together and simplify/reduce if needed:

<u>The final answer is </u> $\frac{32}{135}$ <u> and no simplification or reduction is needed</u>

4 0

3 years ago

Hank’s pickup can travel 60 miles on 5 gallons of gas. How many gallons will Hank’s pickup need to travel 36 miles

Scorpion4ik [409]

60 / 5 = 12 miles per gallon

36 miles = 12 miles / gal * x gallons

divide by 12

36/12 =x gallons

3 =x

He needs 3 gallons

7 0

3 years ago

Read 2 more answers

What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

5 0

3 years ago

Martin is painting the shed shown. The shed is shaped like a cube. He wants to paint the outside walls of the shed using paint t

laila [671]

Answer:

13

Step-by-step explanation:

7 0

3 years ago

What are the two binomial factors of this equation x² + 10x + 24?

antoniya [11.8K]

Answer:

( x + 4 ) ( x + 6 )

Step-by-step explanation:

3 0

2 years ago