Find the area please

Is 0.9 a rational number ? what type of answer is desired?

wolverine [178]

When paired with 0.23 0.9 is a rational number

6 0

3 years ago

What is the sum of 2 1/3, 3 5/6 and 6 2/3

Andreas93 [3]

2 1/3+ 3 5/6+ 6 2/3
= 7/3+ 23/6+ 20/3
= 14/6+ 23/6+ 40/6
= 77/6
= 12 5/6

The final answer is 12 5/6~

5 0

3 years ago

Surface area???????????

MAVERICK [17]

Answer:

The option B is the correct answer. 79.18 m²

Step-by-step explanation:

Surface area = Base area + Lateral surface area

Area of triangle = bh/2

b - base and h - height

To find the base area

We can consider the base is a hexagon.

A regular hexagon is a combination of 6 equilateral triangle

Base area = 6 * area of triangle

base b = 3

To find the height

h =√[(6.2)² - (5.6)₂] = 2.7

Area of triangle bh/2 = (3 * 2.7)/2 = 3.99

Area of base = 23.95

To find lateral surface area

Lateral surface area = 6 * area of triangle

Area of triangle = bh/2 =(3 *6.2)/2 = 9.3

Lateral surface area = 6 * 9.3 = 55.8

To find the total surface area 

Total surface area = Base area + lateral surface area = 23.95 + 55.8

= 79.75 m²

Therefore the option B is the correct answer. 79.18 m²

7 0

3 years ago

find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 in

Ostrovityanka [42]

The area of parallelogram is 108 square inches

Solution:

The formula for area of parallelogram is:

$Area = base \times height$

From given,

$Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet$

$Height = 6\ inches$

Convert feet to inches

1 feet = 12 inches

$\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches$

Therefore, area of parallelogram is:

$Area = 18 \times 6\\\\Area = 108$

Thus area of parallelogram is 108 square inches

4 0

3 years ago

A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu

telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .