1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DanielleElmas [232]
3 years ago
9

Find the value of the variable such that the value of 5−a is 20 greater than the value of 6a−1

Mathematics
1 answer:
ryzh [129]3 years ago
5 0
<h3>Answer:</h3>

a = -2

<h3>Explanation:</h3>

We want (5-a) to be 20 more than (6a-1). Then we can write ...

... (5-a) = (6a-1) +20

If we add (a-19) to both sides, we get

... -14 = 7a

... -2 = a . . . . . divide by 7

_____

<em>Comment on the graph</em>

In the attached, we use the variable x, because this graphing calculator likes variables named x and y. We graph each expression and find the place where they both have the same value for the same value of x (the point of intersection). The value of the variable x at that point is -2, the solution we seek.

You might be interested in
Which scenario is best represented by the graph
Ilia_Sergeevich [38]

Answer:

A taxi travels at a constant speed of 50 miles per hour.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Find the mean, variance &amp;a standard deviation of the binomial distribution with the given values of n and p.
MrMuchimi
A random variable following a binomial distribution over n trials with success probability p has PMF

f_X(x)=\dbinom nxp^x(1-p)^{n-x}

Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

\displaystyle\sum_xf_X(x)=\sum_{x=0}^n\binom nxp^x(1-p)^{n-x}=1

The mean is given by the expected value of the distribution,

\mathbb E(X)=\displaystyle\sum_xf_X(x)=\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\frac{(n-1)!}{x!((n-1)-x)!}p^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\binom{n-1}xp^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^{n-1}\binom{n-1}xp^x(1-p)^{(n-1)-x}

The remaining sum has a summand which is the PMF of yet another binomial distribution with n-1 trials and the same success probability, so the sum is 1 and you're left with

\mathbb E(x)=np=126\times0.27=34.02

You can similarly derive the variance by computing \mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2, but I'll leave that as an exercise for you. You would find that \mathbb V(X)=np(1-p), so the variance here would be

\mathbb V(X)=125\times0.27\times0.73=24.8346

The standard deviation is just the square root of the variance, which is

\sqrt{\mathbb V(X)}=\sqrt{24.3846}\approx4.9834
7 0
3 years ago
Please help me 20 points
Schach [20]

Answer:

air is nice

Step-by-step explanation:

heheh

7 0
2 years ago
Read 2 more answers
Dianna made several loaves of bread yesterday. Each loaf required 2 cups of flour. All together, she used 135 cups of flour. How
irinina [24]

Answer:

The answer is not in the options, it is 67.5

Step-by-step explanation:

135/2 = 67.5

4 0
3 years ago
Seni has a goal to save $500. So far he has saved $340.50 . How much more does he need to save to reach his goal?
iragen [17]

Answer: She need 159.50 more dollars to get to her goal

Step-by-step explanation:

500 − 340.5 =159.50

7 0
3 years ago
Read 2 more answers
Other questions:
  • This is ridiculous help help
    13·1 answer
  • I need help ASAP thank you
    10·1 answer
  • HELLLPPPP PLEASEEEEE
    13·2 answers
  • Find the point on the x-axis that is equidistant from the points (−3,−1) and (1,6)
    8·1 answer
  • 3. Marilyn purchased 400 shares of stock for $22.75 per
    10·1 answer
  • Which of the following expressions is equivalent to 4(m – 16)?
    13·1 answer
  • Estimate the quotient 6.1 dived by 8
    13·1 answer
  • 2(8x +9) -8(7-5x)<br><br> Please can someone help
    14·2 answers
  • No links No Files Need help ASAP
    14·2 answers
  • Two trains leave a station at the same time. One train is heading south at a rate that is 1.5 times faster than the other train,
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!