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
Furkat [3]
3 years ago
7

Complete the synthetic division below.

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Answer:

The quotient is (x+7)

Step-by-step explanation:

Given the synthetic division problem

2|1    5    -14

we have to complete the synthetic division to find the quotient.

The steps are

Step 1: Set up the synthetic division

Step 2: Bring down the leading coefficient to the last row.

Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

The quotient is (x+7)

Option D is correct

You might be interested in
What is the fraction as a mixed number 14/2
slava [35]
7. is the answer to your question
5 0
3 years ago
g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine
diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )

Where  d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } ) is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be Z_{1-\alpha /2}= Z_{0.975}= 1.96

Now using the formula you have to clear the sample size:

d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )

\frac{d}{Z_{1-\alpha /2}} = \sqrt{\frac{p'(1-p')}{n} }

(\frac{d}{Z_{1-\alpha /2}})^2 =\frac{p'(1-p')}{n}

n*(\frac{d}{Z_{1-\alpha /2}})^2 = p'(1-p')

n = p'(1-p')*(\frac{Z_{1-\alpha /2}}{d})^2

n = (0.25*0.75)*(\frac{1.96}{0.01})^2= 7203

To estimate p with a margin of error of 0.01 and a 95% confidence level you have to take a sample of 7203 cards.

I hope this helps!

5 0
3 years ago
Read 2 more answers
Ted likes to run long distances. He can run 20 km 95 minutes. He wants to know how many kilometers (k) he will go if he runs at
maxonik [38]

He will run 60km in 285 minutes.



8 0
3 years ago
Read 2 more answers
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how f
yaroslaw [1]

Answer: 12.69 miles approx

Step-by-step explanation:

let x represent the number of miles traveled

1.75 + 0.65x = 10

0.65x  = 8.25

x = 12.69 miles approx

3 0
3 years ago
I need help right now. report cards are coming in soon and i need to get my grades up​
saul85 [17]

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

4 0
3 years ago
Read 2 more answers
Other questions:
  • Is 3 kL greater or less than 30,000 L? Please help
    12·2 answers
  • In how many ways can eight tickets be put
    12·1 answer
  • Write equation in function form y-3x-11=0
    11·1 answer
  • (8z^8/4z^4)^-4 please help me to solve this
    8·1 answer
  • In the past you paid 800 per month to rent your apartment. You now pay 900 per month for your rent. What is the percent increase
    13·1 answer
  • I need some help!! thank you if you know how to do it
    6·1 answer
  • Use the ruler to find 1 / 1/10 and 4 1/10
    15·1 answer
  • 58.21 + ( -139.58 ) Do I do KCO?
    5·2 answers
  • Of the 150 students that attended the science camp, 82 were sixth graders. Marco says that less than half of the campers were si
    6·2 answers
  • HELP ME FAST!!! (It's about finding equations on graphs)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!