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ad-work [718]
2 years ago
5

X - 5(x - 1) = x - (2x - 3)​

Mathematics
2 answers:
pav-90 [236]2 years ago
4 0
You distribute -5 to (x-1) and the negative sign to (2x-3). From there it becomes basic algebra and you add 4x to both sides and subtract 3 from both sides giving you 3x=2 from there you divide 2 by 3 getting 2/3 or 0.666666...

m_a_m_a [10]2 years ago
3 0
X=2/3 I hope this helps
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In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea
EastWind [94]

Answer:

125

Step-by-step explanation:

600=150+225+100+X=475+X

600-475=125=X

X=125

7 0
2 years ago
Read 2 more answers
Graph a line that is parallel to the given line. Determine the slope ofthe given line and the one you graphed in simplest form.
Daniel [21]

original slope = -4/3

parallel slope = -4/3

Explanation:

For a line to be parallel to anpother line, the slope of both lines must be equal.

We need to find the slope of the given line by picking any two points on the line.

Using points (-6, 5) and (0, -3)

slope formula:

m\text{ = }\frac{y_2-y_1}{x_2-x_1}\begin{gathered} x_1=-6,y_1=5,x_2=0,y_2\text{ = -}3 \\ \text{slope = m= }\frac{-3-5}{0-(-6)}=\frac{-8}{0+6} \\ m\text{ = -8/6} \\ m\text{ = -4/3} \end{gathered}

The equation of the given line: y = mx + b

b = y-intercept = -3

y = -4/3x - 3

The equation line parallel to the one above could be:

y = -4/3 x + 7

This because the slope are the same

original slope = -4/3

parallel slope = -4/3

plotting the graph of the lline parallel to the first one:

3 0
1 year ago
Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using
AlladinOne [14]

Answer:

<u></u>

  • <u>a) P(X=1) = 0.302526</u>
  • <u>b) P(X=5) = 0.010206</u>
  • <u>c) P(X=3) = 0.18522</u>
  • <u>d) P(X≤3) = 0.92953</u>
  • <u>e) P(X≥5) = 0.010935</u>
  • <u>f) P(X≤4) = 0.989065</u>

Explanation:

Binomial experiments are modeled by the formula:

       P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}

Where

  • P(X=x) is the probability of exactly x successes

  • C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}

  • p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.
  • n is the number of trials
  • 1 - p is the probability of fail
  • there are only two possible outcomes for each trial: success or fail.

<u>a.) P (x=1)</u>

<u></u>

       P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526

<u>b.) P (x=5)</u>

     P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206

<u>c.) P (x=3)</u>

Using the same formula:

    P(X=3)=0.18522

<u>d.) P (x less than or equal to 3)</u>

  • P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

  • P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

  • P(X=4) = 0.059335
  • P(X=5) = 0.010206
  • P(X=6) = 0.000729

  • P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

<u>e.) P(x greather than or equal to 5)</u>

  • P(X≥5) = P(X=5) + P(X=6)
  • P(X≥5) = 0.010206 + 0.000729 =  0.010935

<u>f.) P(x less than or equal 4)</u>

  • P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)
  • P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065
5 0
3 years ago
There are 12 circles and 3 triangles. What is the simplest ratio of triangles to circles
Anit [1.1K]

Answer:

4:1

Step-by-step explanation:

Every 4 circles there is 1 triangle.

5 0
2 years ago
Read 2 more answers
K= y/x (3x-1)-2.75(x+2)
defon

Answer:

k=

−2.75x2+3xy−5.5x−y/x

Step-by-step explanation:

Hi! so i see you need help with this problem let me help you and guide you through the steps :]

Let's solve for k.

k= y/x

(3x−1)−2.75(x+2)

Step 1: Multiply both sides by x.

kx=−2.75x2+3xy−5.5x−y

Step 2: Divide both sides by x.

kx/x

=

−2.75x2+3xy−5.5x−y/x

k=

−2.75x2+3xy−5.5x−y/x

Answer:

k=

−2.75x2+3xy−5.5x−y/x

8 0
2 years ago
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