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xxMikexx [17]
3 years ago
10

Which expression is equivalent to 27 ( − 2 3 x + 1 3 ) − 5 x ?

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

KINGSHIP NO NIJINSKY

Whenever I'm alone with you

You make me feel like I am home again

Whenever I'm alone with you

You make me feel like I am whole again

Whenever I'm alone with you

You make me feel like I am young again

Whenever I'm alone with you

You make me feel like I am fun again

However far away

I will always love you

However long I stay

I will always love you

Related

Whatever words I say

I will always love you

I will always love you

Whenever I'm alone with you

You make me feel like I am free again

Whenever I'm alone with you

You make me feel like I am clean again

However far away

I will always love you

However long I stay

I will always love you

Whatever words I say

I will always love you

I will always love you

However far away

I will always love you

However long I stay

I will always love you

whatever words I say

I will always love you

I'll always love you

I'll always love you

I love you

-Adele

Step-by-step explanation:

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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
Please help!!! Rachael deposits $1,500 into a retirement fund each year. The fund earns 8.2% annual interest, compounded monthly
Yuki888 [10]

Answer:$82,500

Step-by-step explanation:

6 0
3 years ago
Which choice is equivalent to expresision below?
DIA [1.3K]

We can simplfiy to be -\sqrt{100}

\sqrt{-1} * \sqrt{100}.

We know that \sqrt{100} is 10 and -1 is i, so the answer is 10i, or D.


5 0
3 years ago
A parallelogram has a base length of 9.3 inches and an area of 56.73 squared inches. Find the height of the parallelogram.
Studentka2010 [4]

Answer:

the answer is 6.1

Step-by-step explanation:

h= A over B (means you divide) and you get 6.1

7 0
3 years ago
Read 2 more answers
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to f
11Alexandr11 [23.1K]

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>

Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.

Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.

Hence:

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

8 0
2 years ago
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