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saveliy_v [14]
3 years ago
8

2.5 ( 6 x - 4 ) = 10 + 4 ( 1.5 + 0.5 x )

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

\bold{x=2}

Step By Step Explanation:

Expand \bold{2.5\left(6x-4\right): \ 15x-10}

Expand \bold{10+4\left(1.5+0.5x\right): \ 2x+16}

\bold{15x-10=2x+16}

Add 10 To Both Sides

\bold{15x-10+10=2x+16+10}

Simplify

\bold{15x=2x+26}

Subtract 2x From Both Sides

\bold{15x-2x=2x+26-2x}

Simplify

\bold{13x=26}

Divide Both Sides By 13

\bold{\frac{13x}{13}=\frac{26}{13}}

Simplify

\bold{x=2}

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Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2​
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Answer:

24

Step-by-step explanation:

Step 1: Define

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16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

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16 + 8

24

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3 years ago
5. Determine whether the
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2 years ago
What is the value of x in the equation 2(x+3) = 4(x-1)?<br> own
11111nata11111 [884]

Step-by-step explanation:

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Bringing like terms on one side

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8 0
3 years ago
How to draw a line that passrs through the origion and has a slope of 2/3?
Tcecarenko [31]
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3 years ago
There are 15 identical pens in your drawer, nine of which have never been used. On Monday, yourandomly choose 3 pens to take wit
DaniilM [7]

Answer: p = 0.9337

Step-by-step explanation: from the question, we have that

total number of pen (n)= 15

number of pen that has never been used=9

number of pen that has been used = 15 - 9 =6

number of pen choosing on monday = 3

total number of pen choosing on tuesday=3

note that the total number of pen is constant (15) since he returned the pen back .

probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

probability of picking a pen that has been used on tuesday = 6/15 = 2/5

probability of not picking a pen that has not been used on tuesday= 1- 2/5= 3/5

on tuesday, 3 balls were chosen at random and we need to calculate the probability that none of them has never been used .

we know that

probability of ball that none of the 3 pen has never being used on tuesday = 1 - probability that 3 of the pens has been used on tuesday.

to calculate the probability that 3 of the pen has been used on tuesday, we use the binomial probability distribution

p(x=r) = nCr * p^{r} * q^{n-r}

n= total number of pens=15

r = number of pen chosen on tuesday = 3

p = probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

q = probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

by slotting in the parameters, we have that

p(x=3) = 15C3 * (\frac{2}{5})^{3} * (\frac{3}{5})^{12}

p(x=3) = 455 * 0.4^{3} * 0.6^{12}

p(x=3) = 455 * 0.064 * 0.002176

p(x=3) = 0.0633

thus probability that 3 of the pens has been used on tuesday. = 0.0633

probability of ball that none of the 3 pen has never being used on tuesday  = 1 - 0.0633 = 0.9337

3 0
3 years ago
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