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3 years ago

Find the area of the composite figure.

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

Answer:

90 m

Step-by-step explanation:

The piece on the right side fits perfectly in the left side so you can move the triangle to the left in order to make a square. After that, you can do 10 times 9 because 5+4=9 to get 90m as the area.

lianna [129]3 years ago

5 0

Answer:

90 m^2

Step-by-step explanation:

The area of a rectangle that is 5m by 10m is 50 m^2.

the parallelogram that has a height of 4m and the base length of 10m is 40 m^2.

40 + 50 = 90

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What is 2/5 divided by 4/3

Andrej [43]

Answer:

0.5333

Step-by-step explanation:

$\frac{2}{5} \div \frac{4}{3} \\ \\ \frac{2 \times 4}{5\times 3} = \frac{8}{15} \\ \\ \frac{8}{15} = 0.5333$

Please mark 2 brainliests because I need.

3 0

2 years ago

A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a

Sati [7]

Answer:

$P(X \geq0.55) \leq 0.22$

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

$Y=X_1+X_2+...+X_{100}$ is approximately normally distributed with

Y ~ N (100 × $\frac{1}{3^2}$ ) = N ( 50, $\frac{100}{9}$ )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, $\frac{100}{9}$ )

$P(Y>55) =P(Z>\frac{55-50}{10/3})$

$P(Y>55) =P(Z>1.5)$

$P(Y>55) =\phi (-1.5)$

$P(Y>55) =0.0668$

Using Chebyshev's inequality:

$P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}$

Let assume that X has a symmetric distribution:

Then:

$2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}$

$2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}$

$2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}$ where: ( $\sigma^2 = \frac{1}{3^2/100}$ )

$P(X \geq0.55) \leq 0.22$

6 0

3 years ago

Find the MAD for this set of data.

Nostrana [21]

Answer:

Hence MAD=0.8

Step-by-step explanation:

MAD is also known as Mean Absolute Deviation.

We find MAD by the following steps:

Firstly we find the mean of the data
Then we subtract each entry from the mean to obtain the deviation
Then find the absolute value of the deviation which is also known as absolute deviation.
Finally we find the mean of the absolute deviation.

Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.

The absolute deviation is given as:

1 3 1 0 0 1 0 0 1 1

The mean of this is calculated as:

$\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8$

Hence, MAD=0.8

7 0

3 years ago

Read 2 more answers

3/24 simplified fraction

Julli [10]

Answer:

The lowest fraction it can be simplified to is 1/8.

4 0

2 years ago

Read 2 more answers

(x+ 3/8 ) 2 + y 2 =1<br> what is the radius & units?

Pani-rosa [81]

The radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit

<h3>How to determine the radius of the circle?</h3>

The circle equation of the graph is given as:

(x + 3/8)^2 + y^2 = 1

The general equation of a circle is represented using the following formula

(x - a)^2 + (y - b)^2 = r^2

Where the center of the circle is represented by the vertex (a, b) and the radius of the circle is represented by r

By comparing the equations (x - a)^2 + (y - b)^2 = r^2 and (x + 3/8)^2 + y^2 = 1, we have the following comparison

(x - a)^2 = (x + 3/8)^2

(y - b)^2 = y^2

1 = r^2

Rewrite the last equation as follows:

r^2= 1

Take the square root of both sides of the equation

√r^2 = √1

Evaluate the square root of 1

√r^2 = 1

Evaluate the square root of r^2

r = 1

Hence, the radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit