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jeyben [28]
3 years ago
8

Simplify the Absolute value of 120+x , if x<−120

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

Answer:

<h2>|120 + x| = -x - 120 for x < -120</h2>

Step-by-step explanation:

|120+x|=\left\{\begin{array}{ccc}120+x&for&x\geq-120\\-(120+x)&for&x

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3 0
2 years ago
Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
1/4 times the sum of a number and −3.2 is 1.8. What is the number?
joja [24]

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of  x  and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \  3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\

x = 10.4

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Answer:

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6 0
4 years ago
What shape has<br> 4 equal sides and<br> No right angles
NeTakaya

Answer:

Rhombus

Step-by-step explanation:

6 0
3 years ago
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