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Sedbober [7]
3 years ago
13

3x + 45= 60 solve for x

Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

3x + 45 = 60

      -45   -45

3x = 15

15 ÷ 3= 5

x= 5

-I hope this helps have a great day!

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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
Olegator [25]

Answer:

The probability that occurrence of 8 in ten minutes is 0.0771.

Step-by-step explanation:

Poisson Distribution:

A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter \mu (>0), if the p.m.f is given by

P(X=x)=\frac{e^{-mu}\mu^x}{x!}  for x=0,1,2,...

               = 0,           elsewhere

The mean number of occurrences in ten minutes is 5.3.

Here \mu = 5.3 and x= 8

P(X=8)=\frac{e^{-5.3}(5.3)^8}{8!}

               =0.0771

The probability that occurrence of 8 in ten minutes is 0.0771.

3 0
2 years ago
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while
I am Lyosha [343]

Answer:

See Below.

Step-by-step explanation:

We are given that:

\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE

By vertical angles:

\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB

Hence, by substitution:

\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB

Then by Angle-Angle Similarity:

\Delta ABC \sim \Delta GEF

8 0
3 years ago
20. A rectangle has a length of x + 2 meters and a width of 2x - 5. (A.APR.1)
bija089 [108]

Answer:

A:

2(x + 2) + 2(2x - 5) =

2x + 4 + 4x - 10 =

6x - 6

perimeter = 6x - 6

B:

(x+2)(2x - 5)            expand the brackets:

2x² - 5x + 4x - 10

area = 2x² - x - 10

C:

area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24

perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35

brainliest please? x

6 0
3 years ago
Which is the equation of a circle with center (-2, 3) and radius r = 5?
Arisa [49]

Answer:

(x+2) ^2 + (y-3)^2 = 25  

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x--2) ^2 + (y-3)^2 = 5^2

(x+2) ^2 + (y-3)^2 = 25  

5 0
3 years ago
Answer this problem: What is 4x2?
tiny-mole [99]

Answer:

8

Step-by-step explanation:

1 2 3 <u>4</u> 5 6 7 <u>8</u>

6 0
3 years ago
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