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3 years ago

What does 1/5 x 8 =?

Mathematics

2 answers:

Alborosie3 years ago

7 0

Answer:

8/5 or 1 3/5 or 1.6

Step-by-step explanation:

Rzqust [24]3 years ago

6 0

Answer:

1 3/5

Step-by-step explanation:

1/5x8=1/5x8/1

1/5/x8/1=8/5=1 3/5

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Q3. Sixteen percent of Americans do not have health insurance. Suppose a simple random sample of 500 Americans is obtained. In a

andreyandreev [35.5K]

Answer:

$P(X > 100.5) = 0.0062 \\\\$

Therefore, there is 0.0062 probability that more than 20% of Americans do not have health insurance.

Step-by-step explanation:

Sixteen percent of Americans do not have health insurance. Suppose a simple random sample of 500.

From the above information,

p = 16% = 0.16

n = 500

The mean is given by

$\mu = n \times p \\\\\mu = 500 \times 0.16 \\\\\mu = 80$

The standard deviation is given by

$\sigma = \sqrt{n \times p(1-p)} \\\\\sigma = \sqrt{500 \times 0.16(1-0.16)} \\\\\sigma = 8.197$

What is the probability that more than 20% do not have health insurance?

We can use the Normal distribution as an approximation to the Binomial distribution since the following conditions are satisfied.

n×p ≥ 5 (satisfied)

n×(1 - p) ≥ 5 (satisfied)

So the probability is given by

500×0.20 = 100

$P(X > 100) = 1 - P(X < 100)$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 100.5) = 1 - P(X < 100.5)\\\\P(X > 100.5) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 100.5) = 1 - P(Z < \frac{100.5 - 80}{8.197} )\\\\P(X > 100.5) = 1 - P(Z < \frac{20.5}{8.197} )\\\\P(X > 100.5) = 1 - P(Z < 2.50)\\\\$

The z-score corresponding to 2.50 is 0.9938

$P(X > 100.5) = 1 - 0.9938\\\\P(X > 100.5) = 0.0062 \\\\P(X > 100.5) = 0.62\% \\\\$

Therefore, there is 0.0062 probability that more than 20% of Americans do not have health insurance.

4 0

4 years ago

How many lines of symmetry does a regular polygon with 16 sides have? A. 2 B. 8 C. 32 D. 16

denpristay [2]

Answer:

C. 32

Step-by-step explanation:

There are 16 lines of symmetry passing through the vertex's and another 16 passing through the mid points of the sides

8 0

3 years ago

Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parr

Alona [7]

The least possible number of coins Pirate Jack has, is 81 coins.

Step-by-step explanation:

Given,

When the coins are divided into 7 equal piles, 4 coins are left.

When the coins are divided into 11 equal piles, 4 coins are left.

We will take LCM of both 7 and 11.

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, ....

11 = 11, 22, 33, 44, 55, 66, 77, 88, ...

The least common multiple of 7 and 11 is 77.

As 4 coins are left, therefore, we will add those coins.

Total possible coins = 77+4 = 81

The least possible number of coins Pirate Jack has, is 81 coins.

Keywords: LCM, addition

Learn more about addition at:

#LearnwithBrainly

3 0

3 years ago

A sheet of notebook paper is approximately 0.003 in. thick. Tear the sheet in half so that there are two sheets. Repeat so that

geniusboy [140]

Answer:

3.3776997 x 10¹² inches high

Step-by-step explanation:

The number of sheets obtained after each tear (N) is described by an exponential relationship, where 'n' is the number of tears:

$N=2^n$

For n = 50:

$N=2^{50}\\N=1.1258999*10^{15}$

If each sheet is 0.003 in thick, the stack would have a height of:

$h = 1.1258999*10^{15}*0.003\\h= 3.3776997*10^{12}\ in$

The final pile would be 3.3776997 x 10¹² inches high.

3 0

4 years ago

An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu

notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days) implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days) = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0

3 years ago