Two less than is 3 times a number is the number as a equation

1 answer:

Volgvan3 years ago

6 0

This is the equation: 3x-2=5x+15
you combine like terms: 3x-3x-2=5x-3x+15 
the 3x on the left cancles out: -2=2x+15 
subtract 15 on both sides: -2-15=2x+15-15 
the 15 on the right cancles out:--17=2x 
divide by 2: -17/2=2x/2 
x equals negative 8.5: x=-8.5

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A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Aleks04 [339]

Set up an algebraic equation: b=cost of ball
1.10=1+b+b
1.10=1+2b
subtract 1 from both sides
.10=2b
divide by 2 on both sides
ball=5 cents

6 0

2 years ago

A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro

zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(peppers weighing between 13 and 16 pounds)

$P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%$