n^2 - n - 20 factor completely I have trouble doing this in math

Answers

Answer 1

To factorize this expression, we start by "looking" for two terms whose sum will give "-n" and whose product will give "-20n-squared"

$\begin{gathered} n^2\text{ - n - 20} \\ \text{This terms are (-5n and +4n)} \\ \text{Next, we replace the middle term (-n) with these new terms } \\ n^2\text{ -5n + 4n - 20} \\ n(n\text{ - 5) + 4(n - 5)} \\ (n\text{ + 4)(n - 5)} \end{gathered}$

Related Questions

Solve the system of equations by graphing.
y + x = - 4
- 2x - 2y = 8
Use the arahina tool to

Answers

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing.

Step-by-step explanation:

The intersection point of the 2 lines would be the solution set to the systems of equations.

If the lines are parallel, they will have no solution.

If the lines are the same, they will have infinite amount of solutions.

According to the graph, it is the same line, so we have an infinite amount of solutions.

Solve the system of equations by graphing.y + x = - 4- 2x - 2y = 8Use the arahina tool to

The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4

Answers

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Which best represents a sampling error?

Answers

Answer:

D because the people at the jazz festival must be biased toward jazz because they are at a jazz festival and must like jazz.

Brainliest please?

Giving brainliest and 80 points!

What is the product of 1.7 × 10−13 and 3.5 × 1025?

1.8 × 1012
2.06 × 1012
3.5 × 1012
5.95 × 1012

Answers

Answer:

D. 5.95 × 10¹²

Step-by-step explanation:

1.7 × 10⁻¹³ × 3.5 × 10²⁵ =

1.7×3.5 × 10⁻¹³⁺²⁵ =

5.95 × 10¹²

1.7×10^{-13}×3.5×10²⁵5.95×10^{25-13}5.95×10¹²

The base area of a swimming pool is 192m³.the Dept of the swimming pool is 1.8cm.find the volume of the water the swimming pool can hold. please answer as soon as possible and please follow ❣️

Answers

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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2.

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.
272
680
4080

Answers

Answer:

4080

Step-by-step explanation:

Can someone help me I’m confused and this is my last question

Answers

the answer is plan a : 170

Answer:

Yup Its plan A

Step-by-step explanation:

Its Plan A:205

HELP ME!!!!
ZEARN!!!!!!!!!

Answers

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

$(\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}$

$(\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}$

Now we can rewrite the expression using the common denominator:

$3 + \frac{3}{15}+\frac{10}{15}$

If a varies as square root of y, how x is affected when y is increased by 44%

Answers

Answer: 16.7%

Step-by-step explanation:

x/(root y) =x

root y is increased by 44%

x/(44+root y)=16.7%

A store pays $100 for a gymnastics mat and marks the price up by 40%.What is the amount of the mark -up? help quick

Answers

Answer/Step-by-step explanation:

40% = .40 (As a decimal)

$100 x .40= $40 {Mark-Up}
$40 is the Mark-up.

If Needed:

$100 + $40 = $140 [Final Price of the gymnastics mat]

[RevyBreeze]

Answer:

40/100

Step-by-step explanation:

it may be this or another answer which is 140 to 1400 to 140.000 but 40/100 sould be your answer.

can someone help me with this question please?

Answers

Okay “difference” means subtract so your story would be…

first i take the biggest number 432,906 and i minus the smaller number 61,827 from the biggest so it would look like
432,906
- 61,827
_________
then you just do the problem and the answer is 371,079.

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an=6an-1, a0=2
b) an=a2n-1, a1=2
c) an=an-1+3an-2, a0=1 , a1=2
d) an=nan-1+n2 an-2 a0=1 ,a1=1
e) an= an-1+an-3 , a0=1, a1=2 , a2=0

Answers

Answer:

See explanation

Step-by-step explanation:

Solving (a):

$a_n = 6a_{n-1}$ where $a_0 = 2$

n = 1

$a_n = 6a_{n-1}$

$a_1 = 6a_{1-1}$

$a_1 = 6a_{0}$

Substitute 2 for $a_0$

$a_1= 6 * 2$

$a_1= 12$

n = 2

$a_n = 6a_{n-1}$

$a_2 = 6a_{2-1}$

$a_2 = 6a_{1}$

Substitute 12 for $a_1$

$a_2= 6 * 12$

$a_2= 72$

n = 3

$a_n = 6a_{n-1}$

$a_3 = 6a_{3-1}$

$a_3 = 6a_2$

Substitute 72 for $a_2$

$a_3= 6 * 72$

$a_3= 432$

n = 4

$a_n = 6a_{n-1}$

$a_4 = 6a_{4-1}$

$a_4 = 6a_{3}$

Substitute 432 for $a_3$

$a_4 = 6 * 432$

$a_4 = 2592$

n = 5

$a_n = 6a_{n-1}$

$a_5 = 6a_{5-1}$

$a_5 = 6a_4$

Substitute 2592 for $a_4$

$a_5 = 6 * 2592$

$a_5 = 15552$

n = 6

$a_n = 6a_{n-1}$

$a_6 = 6a_{6-1}$

$a_6 = 6a_{5}$

Substitute 15552 for $a_5$

$a_6 = 6 * 15552$

$a_6 = 93312$

$a_1= 12$ $a_2= 72$ $a_3= 432$ $a_4 = 2592$ $a_5 = 15552$ $a_6 = 93312$

Solving (b):

$a_n = a^2_{n - 1$ where $a_1 = 2$

We have

$a_1 = 2$ which serves as the first term

n =2

$a_n = a^2_{n - 1$

$a_2 = a^2_{2-1}$

$a_2 = a^2_{1}$

Substitute 2 for $a_1$

$a_2 = 2^2$

$a_2 = 4$

n = 3

$a_3 = a^2_{3-1}$

$a_3 = a^2_{2}$

$a_3 = 4^2$

$a_3 = 16$

n = 4

$a_4 = a^2_{4-1}$

$a_4 = a^2_3$

$a_4 = 16^2$

$a_4 = 256$

n =5

$a_5 = a^2_{5-1$

$a_5 = a^2_4$

$a_5 = 256^2$

$a_5 = 65536$

n = 6

$a_6 = a^2_{6-1$

$a_6 = a^2_{5$

$a_6 = 65536^2$

$a_6 = 4294967296$

$a_1 = 2$ $a_2 = 4$ $a_3 = 16$ $a_4 = 256$ $a_5 = 65536$ $a_6 = 4294967296$

Solving (c):

$a_n=a_{n-1}+3a_{n-2};$ $a_0=1$ ; ; $a_1=2$

$a_1=2$ ---- First term

n = 2

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_2=a_{2-1}+3a_{2-2}$

$a_2=a_1+3a_0$

Substitute values for a1 and a0

$a_2=2+3 * 1$

$a_2=2+3$

$a_2=5$

n = 3

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_3=a_{3-1}+3a_{3-2}$

$a_3=a_{2}+3a_{1}$

$a_3=5+3 * 2$

$a_3=5+6$

$a_3=11$

n = 4

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_4=a_{4-1}+3a_{4-2}$

$a_4=a_{3}+3a_{2}$

$a_4=11+3 * 5$

$a_4=11+15$

$a_4=26$

n = 5

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_5=a_{5-1}+3a_{5-2};$

$a_5=a_{4}+3a_3$

$a_5=26+3 * 11$

$a_5=26+33$

$a_5=59$

n = 6

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_6=a_{6-1}+3a_{6-2}$

$a_6=a_{5}+3a_4$

$a_6=59+3*26$

$a_6=59+78$

$a_6=137$

$a_1=2$ $a_2=5$ $a_3=11$ $a_4=26$ $a_5=59$ $a_6=137$

Solving (d):

$a_n=na_{n-1}+n^2a_{n-2}$; $a_0=1$; $a_1=1$

$a_1=1$ --- First term

n = 2

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_2=2 * a_{2-1}+2^2a_{2-2}$

$a_2=2 * a_1+4*a_0$

$a_2=2 * 1+4*1$

$a_2=2 +4$

$a_2=6$

n = 3

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_3=3 * a_{3-1}+3^2 * a_{3-2}$

$a_3=3 * a_{2}+9 * a_{1}$

$a_3=3 * 6+9 * 1$

$a_3=18+9$

$a_3=27$

n = 4

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_4=4*a_{4-1}+4^2*a_{4-2}$

$a_4=4*a_{3}+16*a_{2}$

$a_4=4*27+16*6$

$a_4=204$

n = 5

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_5=5 * a_{5-1}+5^2 * a_{5-2}$

$a_5=5 * a_{4}+25 * a_{3}$

$a_5=5 * 204+25 *27$

$a_5=1695$

n = 6

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_6=6 * a_{6-1}+6^2*a_{6-2}$

$a_6=6 * a_{5}+36*a_{4}$

$a_6=6 * 1695+36*204$

$a_6=17514$

$a_1=1$ $a_2=6$ $a_3=27$ $a_4=204$ $a_5=1695$ $a_6=17514$

Solving (e):

$a_n= a_{n-1}+a_{n-3};\ a_0=1; a_1=2; a_2=0$

First term: $a_1=2$

Second Term: $a_2=0$

n = 3

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_3= a_{3-1}+a_{3-3}$

$a_3= a_{2}+a_0$

$a_3= 0+1$

$a_3= 1$

n = 4

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_4= a_{4-1}+a_{4-3}$

$a_4= a_{3}+a_{1}$

$a_4= 1+2$

$a_4=3$

n = 5

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_5= a_{5-1}+a_{5-3}$

$a_5= a_{4}+a_{2}$

$a_5= 3 + 0$

$a_5= 3$

n = 6

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_6= a_{6-1}+a_{6-3}$

$a_6= a_{5}+a_{3}$

$a_6= 3 + 1$

$a_6= 4$

$a_1=2$ $a_2=0$ $a_3= 1$ $a_4=3$ $a_5= 3$ $a_6= 4$

Does anyone know this answer??

Answers

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Which of the following shows a reflection of the triangle over the horizontal axis?

Answers

Answer:

I think the first one is the answer

Does (0, 0) make the equation y = 8x true?

Answers

Answer:

Hence, (0, 0) makes the Equation Y = 8x TRUE

0 = 8 * 0

0 = 0

TRUE

Step-by-step explanation:

Identify the X-Intercept:

X = 0

Identify the Y-Intercept:

Y = 0

Substitute the indicated values:

Y = 8 * 0

Substitute the indicated values:

0 = 8 * 0

Judge Whether the Equation is TRUE:

0 = 8 * 0 is: TRUE

Determine the point:Hence, (0, 0) makes the Equation Y = 8x TRUE

0 = 8 * 0

0 = 0

TRUE

Cheers to the person who also gave the (HINT) in the Comment Sections: Which makes the EQUATION (true).

Hope it helps!

HELP IM AT 60 SMARTSCORE AND I NEED 80 WE ARE GETTING CLOSE

Answers

Answer: 8.75, 8, -3/20

Step-by-step explanation:

Answer:

8.75, 8, -3/20

Step-by-step explanation:

Negative is way down so that would be last.

.75 is a little greater than 8 so it would come first.

3. [Kangaroo Grey 2004 Q7] Maija has a rectangular
patio in her garden. She decides to make the patio
larger by increasing both its length and width by
10%. What is the percentage increase in the area
of the patio?

Answers

Answer:

21 % increase

Step-by-step explanation:

Lets imagine the sides of the rectangle are 100 & 200 cms.

The area would be 100 x 200 = 20000cm^2

If we added 10% onto each side, the sides would now be 110 & 220 cms.

The area would be 110 x 220 = 24200cm^2

We can now find percentage change:

$\frac{24200-20000}{20000}$ = 21/100 = 21% increase.

The reason we can just pick random values of sides to do this question with is because we worked out percentage change, which will be the same no matter the proportion of the sides.

Hope this helped! Let me know if you have any questions :)

Drew invests $70.00. It earns 50% interest annually.
How much interest will Drew earn in one year?

Answers

Step-by-step explanation:

50% interest annually.

that means he gets 50% interest of the invested capital every year.

and that means he gets 50% of $70 in one year.

70 = 100%

1% = 100%/100 = 70/100 = $0.70

50% = 1%×50 = 0.7 × 50 = $35

he will earn $35 interest in one year.

as you noticed: 50% simply means 1/2 (as 100% stands for the whole).

A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.

Answers

If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

How to find the estimated number?

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

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Help Please!! Its Mathematics.

Answers

flip the 2/3 then multiply

5 x 3/2 = 15/2 = 7.5

Two coins are tossed. Assume that each event is equally likely to occur.
a) Use the counting principle to determine the number of sample points in the sample space.
b) Construct a tree diagram and list the sample space.
c) Determine the probability that no tails are tossed.
d) Determine the probability that exactly one tail is tossed.
e) Determine the probability that two tails are tossed.
f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
a) There is/are ______sample point(s) in the sample space.

Answers

a) There are 2 x 2 = 4 sample points in the sample space

How to solve

b) Tree Diagram

O D.\nH\nHe\nT\nH\nT\n

Sample space: D. HH, HT, TH, TT

c) P(no tails) = P(HH)

= 1/4

d) P(exactly one tail) = P(HT, TH)

= 2/4

= 1/2

e) P(2 tails) = P(TT)

= 1/4

f) P(at least one tail) = P(HT, TH, TT)

= 3/4

In mathematics, tree diagrams are often used in probability and statistics to show all the possible outcomes of an event. In computer science, they are used to represent the hierarchical structure of files and directories in a file system

Answers

$\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}$

$\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4$

3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!

Answers

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

What is a Variable?

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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HELP ASAPPPP 10 POINTS EASY

Answers

The equation of g ( x ), given that it is a vertical stretch, would be (4/5)x² - 4.

How to find the equation ?

The output (dependent variable) of f(x) must be multiplied by the stretching factor in order to obtain the equation of g(x), which is a vertical stretching of f(x) by a factor of 2.

The function can be shown as:
f(x) = Ay² + B

g(x) = 2(Ay² + B)

g(x) = 2((2/5)x² - 2)

g(x) = (4/5)x² - 4

So, the equation of g(x) is g(x) = (4/5)x² - 4.

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What is the measure of angle LKJ? Round to the nearest whole degree. 41° 45° 49° 55°

Answers

Answer:

Step-by-step explanation:

jus took test on EDGE! :)

Answer:
C. 49⁰

Have a wonderful day~ <3

The ratio of dogs to cats at the animal shelter is 4:5. if there are 20 cats, how many dogs are there?

Answers

Answer:

Ratio of cats to dogs is 4:5

Step-by-step explanation:

There are 20 dogs.

4:5=x:20

(5)(4)=20

(4)(4)=16

Answer: 16 cats

You can find the number of cats by using proportion

a. A professional football kicker has a 98.8% probability of successfully kicking an extra point after a touchdown. Assuming statistical independence, what is the probability that this kicker will successfully make all of his next eleven extra point kicks? Round your answer to four decimal places. Probability = b. What is the probability that the kicker will miss at least one of his next eleven extra point kicks? Round your answer to four decimal places. Probability = c. A professional golfer has a 92.75% probability of making a 5-foot putt. Assuming statistical independence, what is the probability that this golfer will successfully make all of his next eight 5-foot putts? Round your answer to four decimal places. Probability = d. What is the probability that the golfer will miss at least one of his next eight 5-foot putts? Round your answer to four decimal places. Probability =

Answers

A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that the golfer will miss at least one of his next eight 5-foot putts is 0.4523.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

A.) The probability that this kicker will successfully make all of his next eleven extra-point kicks is,

P(x=11) = ¹¹C₁₁ (0.988¹¹) (0.012⁰)

= 0.8756

B.) The probability that the kicker will miss at least one of his next eleven extra point kicks is,

P(X<11) = 1 - P(X=11)

= 1 - 0.8756

= 0.1243

C.) The probability that this golfer will successfully make all of his next eight 5-foot putts is,

P(x=8) = ⁸C₈ (0.9275⁸) (0.0725⁰)

= 0.5477

D.) The probability that the golfer will miss at least one of his next eight 5-foot putts is,

P(X<8) = 1 - P(X=8)

= 1 - 0.5477

= 0.4523

Learn more about Binomial Distribution:

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-(y + 5) = 2(3y + 1)

Answers

You have the following equation

-(y + 5) = 2(3y + 1)

First of all, you eliminate parenthesis, by taking into account that a parenthesis preceded by a minus sign, demand that all sign changes into the parenthesis when you open the parenthesis, just as follow:

-y - 5 = 2(3y) + 2(1) (Furthermore, you have applied distribution property)

-y - 5 = 6y + 2 (you made the products)

Next, you rest 6y and sum 5 in bot sides of the equation and you simplify:

-y -6y -5+5 = 6y -6y +2 +5

-7y + 0 = 0 + 7

-7y = 7

Finally, you divide both sides of the equation by -7:

-7y/(-7) = 7/(-7)

y = -1

Then, the solution to the equation is y=-1

BRAINLIEST. disguisedmoth pls help, last question!!!

Answers

Various data points are shown in this scatter plot (x, y), where x is age and y is cost of eating out. As age, or x, increases, the cost of eating out, y also increases. The plot has an upward trend, with one outlier.

If you need any more explanation ill be glad to help

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped?? :)))) )

18 Solve : (cos x + e x y)dx + (e x + e y z)dy + e ydz = 0.

Answers

The general solution is: e^(e^y + C)(cos x + e^xy) + e^(e^y + C)yz = -K

Or, rearranging terms: e^xye^(e^y) + ye^(e^y)z = -cos x - K e^(-e^y)

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