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agasfer [191]
3 years ago
7

Which expressions are equivalent 27x/9x

Mathematics
2 answers:
uysha [10]3 years ago
6 0

Answer:

3x

Step-by-step explanation:

lbvjy [14]3 years ago
4 0

Answer:

3

Step-by-step explanation:

You have \frac{27x}{9x}

You can factor out the x in the numerator and denominator to get \frac{27}{9}

You can further simplify this by factoring out a 9 => \frac{3(9)}{(9)}

Thus getting 3

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What type of number is 0. 25726
Ad libitum [116K]
It is a rational number in the form of a decimal fraction.
4 0
3 years ago
Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car i
Vesna [10]

Answer:

(a) The histogram is shown below.

(b) E (X) = 4.2

(c) SD (X) = 2.73

Step-by-step explanation:

Let <em>X</em> = <em>r</em><em> </em>= a driver will tailgate the car in front of him before passing.

The probability that a driver will tailgate the car in front of him before passing is, P (X) = <em>p</em> = 0.35.

The sample selected is of size <em>n</em> = 12.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 12 and <em>p</em> = 0.35.

The probability function of a binomial random variable is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x}

(a)

For <em>X</em> = 0 the probability is:

P(X=0)={12\choose 0}(0.35)^{0}(1-0.35)^{12-0}=0.006

For <em>X</em> = 1 the probability is:

P(X=1)={12\choose 1}(0.35)^{1}(1-0.35)^{12-1}=0.037

For <em>X</em> = 2 the probability is:

P(X=2)={12\choose 2}(0.35)^{2}(1-0.35)^{12-2}=0.109

Similarly the remaining probabilities will be computed.

The probability distribution table is shown below.

The histogram is also shown below.

(b)

The expected value of a Binomial distribution is:

E(X)=np

The expected number of vehicles out of 12 that will tailgate is:

E(X)=np=12\times0.35=4.2

Thus, the expected number of vehicles out of 12 that will tailgate is 4.2.

(c)

The standard deviation of a Binomial distribution is:

SD(X)=np(1-p)

The standard deviation of vehicles out of 12 that will tailgate is:

SD(X)=np(1-p)=12\times0.35\times(1-0.35)=2.73\\

Thus, the standard deviation of vehicles out of 12 that will tailgate is 2.73.

4 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS!!<br> IMAGE DOWN BELOW!!<br> ILL GIVE YOU BRAINLIST ANSWER!!
larisa [96]

Answer:

7.235 cm

Step-by-step explanation:

Pythagorean theory

A^2 + B^2 = C^2

A = 4.7

B = 5.5

4.7^2 + 5.5^2 = C^2

22.09 + 30.25 = C^2

√52.34 = √C^2

7.235 cm ≈ C

3 0
1 year ago
Which statement compares the limit as x approaches –4 for the two graphs? In both graph I and graph II, the limit is 5. In both
IceJOKER [234]
Selling . Recut read. Your graph 3
4 0
2 years ago
Read 2 more answers
More math help pls. :)
Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

  • θ = 26°
  • Adjacent cathetus = k
  • Opposite cathetus  = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

  • angle = x
  • opposite cathetus = 55ft
  • adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

6 0
2 years ago
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