Which postulate or theorem proves that these two triangles are

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

$P(X < 4) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225$

$P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827$

$P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082$

$P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180$

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0

3 years ago

Some help please! :) Branliest

sveta [45]

Answer:

Households without a vehicle were not surveyed. D

Step-by-step explanation:

I just finished with Maps testing like 10 minutes ago XD good luck!!

6 0

2 years ago

Write and evaluate the expression. Then, complete the statements.

german

Answer:

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

First, write the expression as

✔ 3k

.

Second,

✔ substitute

12.2 in for the variable, k.

Third,

✔ simplify

by

✔ multiplying

3 and 12.2.

The answer is

✔ 36.6

8 0

2 years ago

Read 2 more answers

Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of

Ira Lisetskai [31]

Answer:

Rotations

Step-by-step explanation:

The orientation of the figure is how the whole shape appearance. You don't need to name vertice to determine the orientation of the figure. It will not change from translations and dilations, so these two are out of option.

The orientation of vertices, on the other hand, needs you to know the vertice name. It can be expressed as clockwise or counterclockwise. The orientation of vertice will be preserved for translations, rotations, and dilations so it should be one of them. Notice that translation and dilation already out of option so the answer will be rotations.

4 0

3 years ago

What is suffix for empathy

weqwewe [10]

They share a common root in -pathy, from the Greek pathos, "feeling." Where they differ is in their prefixes: sym- means "with," while em- means "in." If you can empathize with someone, it's because you have been in their place: you've "walked a mile in their shoes," as the saying goes. Definitions of empathy.

hope this helps brainliest pls

8 0

3 years ago