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Arada [10]
3 years ago
5

Find the mean for the given set of data. 18, 15, 22, 18, 25, 19, 23 18 19 20

Mathematics
2 answers:
Colt1911 [192]3 years ago
7 0

Answer:

20

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

\left[\begin{array}{cc}Mean(Average):&20\\Median:&19\\Range:&10\\Mode:&18, \mathrm{\:appeared\:2\:times}\\\mathrm{\:Geometric\:Mean}:&19.740326987854\\Largest:&25\\Smallest:&15\\Sum:&140\\Count:&7\end{array}\right]

\mathrm{Sorted\:Data\:Set}: 15, 18, 18, 19, 22, 23, 25

enot [183]3 years ago
4 0

Answer:

20

Step-by-step explanation:

When you add them all up and divide by seven, you get 20

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Jerry has just purchased his first home for $190,000. He put down a 20 percent down payment of $38,000 and took out a 5 percent
shepuryov [24]

Answer:

$66.67

Step-by-step explanation:

The calculation of first monthly mortgage payment is amortization is given below:-

Amount borrowed = Purchase first home cost - Down payment

= $190,000 - $38,000

= $152,000

Annual interest = ($152,000 × 5%) ÷ 12

= $7,600 ÷ 12

= $633.33 per month

Now,

First monthly payment = Mortgage payment - Annual interest

= $700 - $633.33

= $66.67

Hence, we simply applied the above formula.

7 0
3 years ago
Rita bakes cakes to earn money. She spent $30 for supplies to make 15 cakes. Which inequality shows how much Rita has to charge
Alex Ar [27]

First we have to see the formula of profit, which is

Selling \ price - cost \ price = profit

And it is given that profit should be atleast $150, that is

Profit  \geq  150 \\ Selling \ price - cost \ price \geq 150

Let Ritax dollars per cake, so for 15 cakes, she charge 15x .

And she epent 30 dollars for 15 cakes.

So we will get

15x-30 \geq 150

Adding 30 to both sides

15x \geq  180 \\ x \geq 12

Correct option is the second option .

5 0
3 years ago
Read 2 more answers
Which is the longer length 29ft or 9 yards
andreev551 [17]
Convert 9 yards into feet:  9 yards * (3 feet) / (1 yard) simplifies to 27 feet.

9 yards, or 27 feet, is shorter than 29 feet.

29 feet is longer than 27 feet.

7 0
3 years ago
I'm have some issues with the problem shown in the screenshot and would love some help.
KiRa [710]

The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;

  • Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.

  • Maximum volume of the box is approximately 1048.6 in.³

<h3>How can the dimensions and volume of the box be calculated?</h3>

The given dimensions of the cardboard are;

Width = 18 inches

Length = 35 inches

Let <em>x </em>represent the side lengths of the cut squares, we have;

Width of the box formed = 18 - 2•x

Length of the box = 35 - 2•x

Height of the box = x

Volume, <em>V</em>, of the box is therefore;

V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x

By differentiation, at the extreme locations, we have;

\frac{d V }{dx}  =  \frac{d( 4 \cdot \:  {x}^{3}  - 106 \cdot \:  {x}^{2}  + 630\cdot \:  {x} )  }{dx} = 0

Which gives;

\frac{d V }{dx}  =12\cdot \:  {x}^{2}  -  212\cdot \:  {x} + 630 = 0

6•x² - 106•x + 315 = 0

x  =  \frac{ - 6 \pm \sqrt{106 ^2 - 4 \times 6 \times 315} }{2 \times 6}

Therefore;

x ≈ 4.55, or x ≈ -5.55

When x ≈ 4.55, we have;

V = 4•x³ - 106•x² + 630•x

Which gives;

V ≈ 1048.6

When x ≈ -5.55, we have;

V ≈ -7450.8

The dimensions of the box that gives the maximum volume are therefore;

  • Width ≈ 18 - 2×4.55 in. = 8.89 in.

  • Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.

  • Height = x ≈ 4.55 in.

  • The maximum volume of the box, <em>V </em><em> </em>≈ 1048.6 in.³

Learn more about differentiation and integration here:

brainly.com/question/13058734

#SPJ1

7 0
1 year ago
A teacher places 55 books onto shelves. Each shelf holds 9 books. How many shelfes does the teacher fill?
Umnica [9.8K]

your answer is 495

55 times 9 = 495

5 0
3 years ago
Read 2 more answers
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