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nadezda [96]
3 years ago
11

Observe the graph below. The scale factor used to dilate ABC was...

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

3

Step-by-step explanation:

AB = 1 unit

A'B' = 3 units

The scale of dilation = A'B'/AB

Therefore:

scale of dilation = 3 units / 1 unit = 3

This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.

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In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient sk
RUDIKE [14]

Answer:

a) The third quartile Q₃ = 56.45

b) Variance \mathbf{ \sigma^2 =2633.31}

Step-by-step explanation:

Given that :

Q_1  =  30.8

Median Q_2 =  48.5

Mean  = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}

-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}

-0.38Q_3  + 11.704  =  Q_3  +30.8  - 97

1.38Q_3  =  77.904

Divide both sides by 1.38

Q_3 = 56.45

b) The objective here is to determine the approximate value of the variance;

Using the relation

SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}

-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}

-0.38= \dfrac{(-19.5) }{\sigma}

-0.38* \sigma = {(-19.5) }{}

\sigma =\dfrac {(-19.5) }{-0.38 }

\sigma =51.32

Variance =  \sigma^2 =51.32^2

\mathbf{ \sigma^2 =2633.31}

7 0
4 years ago
Please help!! I don’t get it
Marrrta [24]

Answer:

Each hotdog costs $1.65

Each juice drink costs $1.05

Step-by-step explanation:

Let's begin by letting x represent the number of hot dogs and y the number of juice drinks.

The Baxter family bought 6 hot dogs and 4 juices for $14.10.

6x + 4y = 14.10

The Farley family bought 3 hot dogs and 4 juices for $9.15.

3x + 4y = 9.15

Now, we subtract these equations.

6x + 4y = 14.10\\- (3x + 4y = 9.15)

Since y has reversed coefficients, it gets eliminated. Now solve for x.

6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}

\frac{4.95}{3} = 1.65

x = 1.65

NOW, we find y by substituting x with 1.65 (in either equation).

We'll use the first equation.

6x + 4y = 14.10

6(1.65) + 4y = 14.10

9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2

\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05

x = 1.65

y = 1.05

x represents hotdogs and y represents juice drinks.

Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.

<em> I hope this helps! :)</em>

6 0
3 years ago
Solve for r. l = prt
forsale [732]

Answer:

r=\frac{l}{pt}

Step-by-step explanation:

l = prt

r = l/pt

6 0
3 years ago
Help with this math problem plz thx
agasfer [191]

Answer:

Please edit the question

8 0
3 years ago
Emily rented a bike from kaylas bikes. It cost $15 plus $5 per hour.
crimeas [40]

Answer: 7 hours.

Step-by-step explanation:

The rental price is 15. Add 5 per hour (5x) and the total must be equal to $50

15+5x=50

Solve for x;

5x=50-15\\5x=35\\x=\frac{35}{5}\\ x=7

4 0
3 years ago
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