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UNO [17]
3 years ago
15

Where would parentheses go 9 x 7+ 8-5=66

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

Answer:

Both.

Step-by-step explanation:

(9 x 7) + (8 - 5) = 66

This is because their are 3 symbols.

Vsevolod [243]3 years ago
3 0

Answer:

9 × 7 + (8 - 5) = 66

Step-by-step explanation:

9 × 7 + 8 - 5 = 66

Applying the order of operations (PEMDAS);

The parenthesis would go to 9 × 7 + (8 - 5) = 66

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PLEASE HELP What steps do you use to solve a system of two equations using substitution?
zmey [24]

Answer:

solve one equation for a vriable then substitute that varibale into the other equation.

Step-by-step explanation:

3 0
4 years ago
the lengh of a rectangle is 6cmgreater than the width. the area is 112cm^(2). find the lengh and the width
Nataly_w [17]

Answer:

See below ~

Step-by-step explanation:

The length and width are <u>x + 6</u> and <u>x</u> respectively.

Equating to the area :

  • Area = length × width
  • 112 = (x +6)(x)
  • 112 = x² + 6x
  • x² + 6x - 112 = 0
  • x² + 14x - 8x - 112 = 0
  • x(x + 14) - 8(x + 14) = 0
  • (x - 8)(x + 14) = 0
  • x = 8, because distances are always positive

Dimensions :

  • Length = x + 6 = 8 + 6 = <u>14 mm</u>
  • Width = x = <u>8 mm</u>
6 0
3 years ago
Data collected at Toronto Pearson International Airport suggest that an exponential distribution with mean value 2,725 hours is
Rzqust [24]

Answer:

P(X >2)

And we can calculate this with the complement rule like this:

P(X>2) = 1-P(X

And using the cdf we got:

P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable of interest:

X \sim Exp(\lambda=\frac{1}{2.725})

Solution to the problem

We want to calculate this probability:

P(X >2)

And we can calculate this with the complement rule like this:

P(X>2) = 1-P(X

And using the cdf we got:

P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480

8 0
3 years ago
find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 in
soldi70 [24.7K]

Answer:

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with

Mean diameter = μ = 8 inches

Standard deviation = σ = 2.5 inches

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)

To solve this, we first normalize or standardize 5.5 inches

The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00

The required probability

P(x < 5.5) = P(z < -1.00)

We'll use data from the normal probability table for these probabilities

P(x < 5.5) = P(z < -1.00) = 0.15866

Hope this Helps!!!

5 0
4 years ago
X+y-2z=-9<br> 2x-y+8z=99<br> x-2y+5z=23<br> give the solution with z arbitrary
AveGali [126]

Answer:

  (x, y, z) = (-4, 29, 17)

Step-by-step explanation:

These three equations have a unique solution. If you want "z arbitrary", you need to write a system of two equations with three variables (or, equivalently, a set of dependent equations).

It is convenient to let a graphing calculator, scientific calculator, or web site solve these.

_____

You can reduce the system to two equations in y and z by ...

  subtracting the last equation from the first:

     3y -7z = -32

  subtracting twice the last equation from the second:

     3y -2z = 53

Subtracting the first of these from the second, you get ...

  5z = 85

  z = 17

The remaining variable values fall out:

  y = (53+2z)/3 = 87/3 = 29

  x = -9 +2z -y = -9 +2(17) -29 = -4

These equations have the solution (x, y, z) = (-4, 29, 17).

3 0
4 years ago
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