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VLD [36.1K]
4 years ago
8

Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify

from the first step to the second step. 7(A+13). 7A+91

Mathematics
1 answer:
slega [8]4 years ago
7 0
Distributive property, you can distribute 7 to the terms inside the parentheses
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The height of a tree is one-half of the height of a tower.
Marysya12 [62]

Answer:

If d is the height of the tree: d = 1/2m

Step-by-step explanation:

4 0
3 years ago
Total freshman = 58. Number of freshman who prefer cheese toppings= 14. Determined the probability that a freshman prefer cheese
Yakvenalex [24]

Answer:

The probability that a freshman prefer cheese toppings  is   0.241

Step-by-step explanation:

Probability of any event E =  \frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}

Here, let E   :  Event of choosing cheese toppings

So, the number of favorable outcomes = 14

Total number of outcomes = 58

So, P(E) =  \frac{\textrm{Number of students who like cheese toppings}}{\textrm{Total number of students}}

or, P(E) = \frac{14}{58} = 0.241379

So,the probability that a freshman prefer cheese toppings  is   0.241379

Rounding of 0.241379  to the <u>nearest thousandth</u>, we get

Here , in 0.241379 thousandth digit is 3, and 3 < 5,

so the value of P(E) = 0.241

4 0
3 years ago
Find the amount of social security deducted from the check: $835 biweekly.
Inga [223]
Normally 8% is deducted as social security tax.

So,
8% of 835 = 8/100 x 835
                 = $56.36  (approx.)
4 0
3 years ago
g People between the ages of 65 and 70 were studied to see if those who exercise more were healthier. One measure of health was
liubo4ka [24]

Answer:

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

Step-by-step explanation:

We have a group of people between agss of 65 and 70.

They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".

The response variable is blood pressure, that was categorized as "normal"or "high".

Then,  we have the frequencies table as:

Amount of exercise          None    Moderate    High

Blood pressure High          54              23            7

Blood pressure Normal      86              76            32

We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.

If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.

Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):

P(N | HP)=\dfrac{54}{54+23+7}=\dfrac{54}{84}=0.643

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

5 0
3 years ago
Solve the system by graphing.
igor_vitrenko [27]

Answer:

Hi There the correct answer is {x,y} = {-1,-10}  

 

System of Linear Equations entered :

  [1]    3x - y = 7

  [2]    4x - 2y = 16

Graphic Representation of the Equations :

   y + 3x = 7        -2y + 4x = 16  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  y  

 

 [1]    y = 3x - 7

// Plug this in for variable  y  in equation [2]

  [2]    4x - 2•(3x-7) = 16

  [2]    -2x = 2

// Solve equation [2] for the variable  x  

  [2]    2x = - 2  

  [2]    x = - 1  

// By now we know this much :

   x = -1

   y = 3x-7

// Use the  x  value to solve for  y  

   y = 3(-1)-7 = -10  

Solution :

{x,y} = {-1,-10}  

Hope it helps!

8 0
3 years ago
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