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
madreJ [45]
3 years ago
6

A=pt+q p= -1, t=4 and q=6 work out the value of a

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

a = 2

Step-by-step explanation:

a = pt + q

p = -1

t = 4

q = 6

a = -1(4)+6

a = -4+6

a = 2

You might be interested in
g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate
bixtya [17]

Answer:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=25, p=0.85)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

7 0
3 years ago
What is x in 2x + 5x​
adell [148]

Answer:

in this question is hard to identify the value of x when it is not equated to a number so hey you'll just have to add to get 7 x

6 0
3 years ago
The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
Wich one is bigger 3/3 or 7/8
MrRissso [65]
3/3=1 and 7/8 is < 1 so 3/3 is bigger
4 0
3 years ago
Answer the following 2 question ​
Zanzabum

Answer:

Step-by-step explanation:

ii) Perimeter = 8 + 7 + 17 + 16 + (17-8) + (16-7)

                   =8+ 7 + 17 +16 + 9 + 9

                  = 66 m

Area = area of upper rectangle + area of lower rectangle

        = 8*7 + 16*9

       = 56 + 144

   = 200 m²

8 0
3 years ago
Other questions:
  • What is 7 29/80 as a mixed number with a decimal
    12·1 answer
  • Cooper invested $510 in an account paying an interest rate of 3 3\8 % compounded daily. Nora invested $510 in an account paying
    7·1 answer
  • solve: 9 x squared minus 12x + 4 equals 0. give answer as a fraction or integer do not use decimals do not put space in answer​
    13·1 answer
  • Find the ratio of book price to number of pages for each ordered pair. Round your answer to the nearest hundredth
    6·2 answers
  • Find the difference: 8abxac? - 14abxac?
    9·1 answer
  • 1. (04.06A) What is the slope of the line shown in the graph? (4 points) −1 −2 - 1/2 2
    15·1 answer
  • Calculate the measure of ∠ PMU and ∠ UPM.<br><br> m∠ PMU =<br> m∠ UPM =
    5·2 answers
  • You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
    6·1 answer
  • What property is 2/5 x 5/2 = 1
    9·1 answer
  • Pls help. <br><br><br><br>Pls quick......​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!