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2 years ago

What is the Area of the parallelogram

Mathematics

2 answers:

maria [59]2 years ago

5 0

The answer would be 55 to your problem

ikadub [295]2 years ago

4 0

Answer:

Step-by-step explanation:

The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)

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Although companies would like consumers to believe that Identity theft protection is an

stiks02 [169]

The obtained answers for the given frequency distribution are:

(a) The formula for the mean in sigma notation is $\bar x =\frac{1}{n} \sum X_i$ where n is the number of observations; $X_i$ are the n observations.

The mean for the given monthly plan price is $16.1.

(b) The frequency distribution for given data is {$9.99 - 2; $10 - 5; $12 - 1; $12.75 - 2; $14.99 - 6; $20 - 4; $25 - 5}

(c) The formula for the mean using the frequency distribution table is $\bar x = \frac{1}{N}\sum f_ix_i$ where $N =\sum f_i$ and on applying this formula for the given data, the mean is $16.1.

(d) The median for the given data is $m_e = 14.99$ , and the mode for the given data is $14.99

<h3>What are the mean, median, and mode for a frequency distribution?</h3>

The frequency distribution has sample observations $x_i$ and frequencies $f_i$ .

Then, the mean is calculated by

$\bar x = \frac{1}{N}\sum f_ix_i$

Where $N =\sum f_i$ (Sum of frequencies)

The median is calculated by

$m_e=\left \{ {{x_{k}} \ if \ n = 2k+1 \atop {\frac{x_{k}+x_{k+1}}{2}} \ if \ n =2k} \right.$

The mode is calculated by

Mode = highest frequency value

<h3>Calculation:</h3>

The given list of data is

{$14.99, $12.75, $14.99, $14.99, $9.99, $25, $25, $10, $14.99, $10, $20, $10, $20, $14.99, $10, $25, $20, $12, $14.99, $25, $25, $20, $12.75, $10, $9.99}

(a) Formula for the mean using sigma notation and use it to calculate the mean:

The formula for the mean is

$\bar x =\frac{1}{n} \sum X_i$

Where n = 25; $X_i$ - n observations

On substituting,

Mean $\bar x$

=1/25(14.99+12.75+14.99+14.99+9.99+25+25+10+14.99+10+20+10+20+14.99+10+25+20+12+14.99+25+25+20+12.75+10+9.99)

= 1/25(402.42)

= 16.09 ≅ 16.1

(b) Constructing a frequency distribution for the data:

Cost - frequency - cumulative frequency

$9.99 - 2 - 2

$10 - 5 - 7

$12 - 1 - 8

$12.75 - 2 - 10

$14.99 - 6 - 16

$20 - 4 - 20

$25 - 5 - 25

Sum of frequencies N = 25;

(c) Using frequency distribution, calculating the mean:

The formula for finding the mean using frequency distribution is

$\bar x = \frac{1}{N}\sum f_ix_i$

Where N = 25;

On substituting,

$\bar x$ <em> </em>= 1/25 (2 × 9.99 + 5 × 10 + 1 × 12 + 2 × 12.75 + 6 × 14.99 + 4 × 20 + 5 × 25)

= 1/25 (402.42)

= 16.09 ≅ 16.1

Therefore, the mean is the same as the mean obtained in option (a).

(d) Calculating the median and the mode:

Since N = 25(odd) i.e., 2· 12 + 1; k = (12 + 1)th term = 13th term

So, the median $m_e$ = 14.99. (frequency at 13th term)

Since the highest frequency is 6 occurred by the cost is $14.99,

Mode = 14.99

Learn more about frequency distribution here:

brainly.com/question/27820465

#SPJ9

7 0

2 years ago

Joshua used 23 more craft sticks on his project than Candice. Joshua used 41 craft sticks. How many craft sticks did Candice use

Aloiza [94]

Candice used eighteen craft sticks.

4 0

3 years ago

An office equipment store buys highlighter pens boxes at a wholesale price of $15 each. It then marks up the price by 94%, and s

Stells [14]

Answer:

Option (d) is correct.

Step-by-step explanation:

Given that,

The wholesale price of a pen is $15.

It then marks up the price by 94%.

Its marked price is equal to 94% of $15. So,

$\text{MP}=\dfrac{94}{100}\times \$15\\\\\text{MP}=\$14.1$

Selling price of the highlighter pen is equal to the sum of marked price and the wholesale price.

SP = $14.1+$15

SP = $29.1

Hence, the marked price is $14.1 and the selling price is $29.1

3 0

3 years ago

Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If

Free_Kalibri [48]

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

$Distance = Speed \times Time$

Time = 3 minutes = $\frac{3}{60}$ hrs

Speed = 22 mph

$Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles$

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 $\times$ 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.

8 0

3 years ago

Can someone please help me it was my last question I really need help please help me

kobusy [5.1K]

Really ? ?

Price per inch has the units of "price/inch". See that ? It comes from dividing 'price' by 'inches'.

Price = $7.56

Inches = don't know;

... but we know it's 7 feet, and every foot has 12 inches in it

... so there are (7 x 12) = 84 inches of ribbon.

Price per inch = ($7.56) / (84 inches)

Prince per inch = (7.56/84) (dollars/inch)

Now, YOU go ahead and do the division to get the final answer.

8 0

3 years ago