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3 years ago

A model house has a scale of 1 cm to 3 meters.If the model house 5cm,then how is tall is the house.

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

15m

Step-by-step explanation:

1cm=3m

5cm is equal to 15m

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the

Rama09 [41]

Answer:

$P(x \le 3) = 0.2352$

Step-by-step explanation:

Given

$p = 0.35$ --- male committing a crime in an episode

$n = 5$ -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

$P(x) = ^nC_x * p^x * (1 - p)^{n-x$

So, the required probability is represented as:

$P(x \ge 3)$

And will be calculated using:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}$

$P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2$

$P(x = 3) = 10 * (0.35)^3 * (0.65)^2$

$P(x = 3) = 0.1811$

$P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}$

$P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1$

$P(x = 4) = 5 * (0.35)^4 * (0.65)$

$P(x = 4) = 0.0488$

$P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}$

$P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0$

$P(x = 5) = 1 * (0.35)^5 * (0.65)^0$

$P(x = 5) = 1 * (0.35)^5 * 1$

$P(x = 5) = 0.0053$

So:

$P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)$

$P(x \le 3) = 0.1811 + 0.0488 + 0.0053$

$P(x \le 3) = 0.2352$

4 0

3 years ago

Apply the distributive property to create an equivalent expression. 2(3-8y)

sdas [7]

Using the distributive property, an equivalent expression would be 6-16y

Comment the correct answer.

4 0

4 years ago

Read 2 more answers

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0

3 years ago

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

kozerog [31]

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Given

9x + 3y = 12

We require to rearrange expressing y in terms of x

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4

Expressed in functional notation by replacing y by f(x), that is

f(x) = - 3x + 4

8 0

3 years ago

Estimate the answer 102.3 × 4.7

ddd [48]

The estimated answer would be 480.81

8 0

3 years ago

Read 2 more answers