HELLPPPPPPPPPPPPP Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, add 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8

Answer:

They completed 13, 3 credit classes

Step-by-step explanation:

1. Make 2 formulas. In this case: x+y=18

and 3x+4y=59

2. Then multiply x+y=18 by 3 and subtract the two equations.

Find y which is 5 and input into the equations. Then find your answer.

Answer: A) At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) YES

Step-by-step explanation:

Given that,

Point estimate = sample mean  Ж = 25.5

Population standard deviation α  = 5.3

Sample size = n =360

At 90% confidence level the z is ,

∝ = 1 - 90% = 1 - 0.90 = 0.1

∝ / 2 = 0.1 / 2 = 0.05  

Z∝/2 = Z0.05 = 1.645 ( WHEN WE USE THE Z TABLE )

Margin of error E = Z∝/2 * ( α/√n)

E = 1.645 * (5.3 / √360 )  = 0.4595

At 90% confidence interval estimate of the population mean

is

Ж - E < ц < Ж + E  

25.5 - 0.4595 <  ц < 25.5 + 0.4595  

25.0405 <  ц < 25.9595  

( 25.0405 , 25.9595 )

At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) This confidence interval can be used to estimate the mean weight of all one - year old babies in the US since the mean value of 25.5 falls within the confidence values, we have sufficient evidence to

conclude that the mean weight of all one-year-old boys is 25.5

Answer:

2x'2-3x-12

Step-by-step explanation:

(x-4) (2x+3)

2x'2 + 3x-6x-12

2x'2-3x-12

* this " '2 is squared

Answer:   If this helps plz mark as brainliest  

Step-by-step explanation:

(x−4)(2x+3)

=(x+−4)(2x+3)

=(x)(2x)+(x)(3)+(−4)(2x)+(−4)(3)

=2x2+3x−8x−12

=2x2−5x−12

━━━━━━━☆☆━━━━━━━

▹ Answer

12

▹ Step-by-Step Explanation

[tex]7/\frac{7}{12} \\\\= 7 * \frac{12}{7} \\\\= \frac{84}{7} \\\\= 12[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

axis of symmetry x=3

vertex (3, 52)

Step-by-step explanation:

y = -5x² + 30x + 7

x = -b/2a = -30/2(-5) = -30/-10 = 3

y = -5(3)² + 30(3) + 7

y = -45 + 90 + 7

y = 52

Answer:

[tex]AG=22[/tex]

Step-by-step explanation:

Follow the next steps:

[tex]\frac{A-B}{A-E} =\frac{B-C}{E-F} =\frac{C-D}{F-G} =\frac{A-C}{A-F} =\frac{B-D}{E-G} =\frac{A-D}{A-G}[/tex]

Let:

[tex]\frac{A-B}{A-E} =\frac{B-C}{E-F}\\ \\\frac{4}{A-E} =\frac{5}{10x}\\ \\Solving\hspace{3}for\hspace{3}A-E\\\\A-E=8x[/tex]

Now:

[tex]\frac{C-D}{F-G} =\frac{A-C}{A-F} \\\\\frac{2}{F-G} =\frac{9}{18x} \\\\Solving\hspace{3}for\hspace{3}F-G\\\\F-G=4x[/tex]

Hence:

[tex]A-G=(A-E)+(E-F)+(F-G)=22x[/tex]

Finally:

[tex]\frac{B-D}{E-G} =\frac{A-D}{A-G}\\\\\frac{A-D}{B-D} =\frac{A-G}{E-G}\\[/tex]

[tex]\frac{11}{7} =\frac{22x}{14x} \\\\\frac{11x^{2} }{7} -\frac{11}{7} =0\\\\[/tex]

Hence:

[tex]x=1\\x=-1[/tex]

Since it would be absurd for [tex]x=-1[/tex], the real solution is [tex]x=1[/tex]

Therefore:

[tex]AG=22[/tex]

Answer:

Change in the cost of each book printed = $25

Cost to get started = $1150

Step-by-step explanation:

Equation representing the relation between number of copies of the books (x)  and total cost of publishing a book (y) is,

y = 1150 + 25x

This equation is in the form of a linear equation,

y = mx + b

Where m represents the change in cost of printing each book and y-intercept of the line 'b' represents the cost before any book is printed.

By comparing these equations,

m = 25

Therefore, change in the cost of each book printed = $25

b = 1150

Which represents the cost to get started = $1150

Answer:

1/2

Step-by-step explanation:

There are eight equal pieces. Oliver used four pieces to make toast. Since the total is eight pieces, the fraction he used to make toast is 4/8, which simplifies to 1/2

Answer:

4/8

Step-by-step explanation:

He cut the bread into 8 equal pieces, so the denominator is 8.

He used 4 pieces for making toast.

He saved 4 pieces for later.

Hope this helps ;) ❤❤❤

Answer:

120 + 4w

Step-by-step explanation:

I am indeed doing it aswell

Answer:

It means direct sum.

Step-by-step explanation:

Answer:

The sales account for year 3 is [tex][\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%][/tex].

Step-by-step explanation:

As the sales for year 2 is not provided, assume it is x million.

The total sales in year 3 is, 32 million.

Compute the sales account for year 3 as follows:

[tex]\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%[/tex]

                                              [tex]=\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%[/tex]

Answer:

[tex]\huge\boxed{a_3=9,216}[/tex]

Step-by-step explanation:

[tex]a_n=64(12)^{n-1}\\\\\text{substitute}\ n=3:\\\\a_3=64(12)^{3-1}=64(12)^2=64(144)=9,216[/tex]

Answer:

60 and 87

Step-by-step explanation:

Question 1: The chance of losing would be 100% - 40% = 60%.

Question 2: Again, we just have to do 100% - 13% = 87%.

Answer:

Below

Step-by-step explanation:

First question:

Jade has a 40% chance of winnig wich could be expressed as 2/5

The chance of losing is the remainning pourcentage from 100%

●100-40 =60%

60% is the chance of losing wich could be expressed as 3/5

The sum of 3/5 and 2/5 is 1 so it's true.

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Same method for the 2nd question:

The person has a 13 % chance of winning.

The chance of losing is 87%

● 100-13 =87

Answer:

1312 feet

Step-by-step explanation:

41 ft=1 sec

how about 32 sec

41 x 32=1312/1=1312

Answer:

Total cream = 34g

One application = 1 8/9 =(9+8)/9 = 17/9

Total applications = total cream/one application = 34/(17/9) = 34*9/17 = 18 applications

Step-by-step explanation:

Answer:

  400 g

Step-by-step explanation:

Let p represent the mass of the peas & carrots. The scale is balanced when the mass on one side is equal to the mass on the other side.

  p + 2(300 g) = 4(250 g)

  p = 1000 g -600 g . . . . . subtract 600 g

  p = 400 g

The mass of the peas & carrots is 400 grams.

Answer:

A

Step-by-step explanation:

The syntax is binomcdf(trials, probability, value). There are 100 trials, and the probability is 0.5. binomcdf will return the probability that there is at most n successes. So, in this case we want 45 or less successes, so n is 45. So, the answer is binomcdf(100, 0.5, 45).

Hope this makes sense! Please give brainliest!

Answer:

quadratic

Step-by-step explanation:

This graph has a parabola form wich is a propertie for qaudratic functions

Answer:

A

Step-by-step explanation:

Answer:

When the price of DVD player increases, the demand will decrease.

Step-by-step explanation:

The price and demand function have an inverse relationship. When the price of good increases its demand will decrease. This is law of demand. If the price of goods increase to a certain level its demand will start decreasing. The people will start buying lesser good and will consume less. The propensity to consume will decline and less economic goods will be consumed. When the price of DVD player is increased then the demand will decline for DVD players and people will drop the decision to buy the DVD player.

Step-by-step explanation:

736 / 365 = 2R6

So even if the first 365 students all have different birthdays, and the next 365 students also all have different birthdays, then there are 2 students for every birthday.  The last 6 students therefore share a birthday with at least 2 other students.  So there are at least 3 students who share a birthday.

Yes, we can prove that at least three students have a birthday on the same day of the year.

What is algebra?

Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas.

We have,

Total number of students = 736

So,

In a year there are 365 days.

And we have 736 students,

So,

Two students have birthday on same day = 365 × 2 = 730

NOw,

Students left = 736 - 730 = 6

So,

These 6 Students  share birthday with othe 6 Students .

So, yes there are at least three students who have a birthday on the same day of the year

To learn more about algebra click here,

https://brainly.com/question/953809

#SPJ2

Answer:

44 degrees

Step-by-step explanation:

4 multiplied by 7 is 28.

28 + 2 = 30

angle ABC = 30 degrees

3 multiplied by 7 is 21

21 - 7 = 14.

angle CBD = 14 degrees.

30 + 14 = 44.

The answer is ABD = 44 degrees

Answer:

(a) P(0,9) = 0.0207

(b) P(2-9,9) = 0.1004

(c) P(0-1,9) = 0.1211

(d) "at least 1" and "at most 1" are not complements of each other because there is an overlap of "1" in both cases.

Step-by-step explanation:

With appropriate assumptions, this can be solved using the binomial distribution.

Probability of success for each trial, p = 35%

Number of trials, n = 9

using formula for x successes out of n trials, each with probability p

P(x,n) = C(n,x) p^x (1-p)^(n-x)

where C(n,x) = n!/(x!(n-x)!)

(a) zero success

n=9

p=0.35

x = 0

P(0,9) = 9!/(0!9!) 0.35^0 * 0.65^9

= 1*1* 0.0207

= 0.0207

(b) 2 or more successes

We need the sum of probabilities of 2,3,4,5,6,7,8,9 successes, which is easier calculated by (1-P(0,9)-P(1,9))

P(1,9) = C(9,1) * p^1 * p^8

= 9 * 0.35 * 0.65^8

= 9 * 0.35 * 0.3186

= 0.1004

Therefore

P(2 to 8, 9)

= 1 - P(0,9) - P(1,9)

= 1 - 0.0207 - 0.1004

= 0.8789

(c) at most 1 success

P(0,9) + P(1,9)

= 0.0207 + 0.1004

= 0.1211

Answer:

x = 88

Step-by-step explanation:

The sum of the angles in a triangle add to 180

47+45 +x = 180

Combine like terms

92+x = 180

Subtract 92 from each side

92+x-92= 180-92

x =88

Answer:

x = 10

Step-by-step explanation:

We know x = 6

asked: x + 4

Plus it in =>

6 + 4

=> 10

Answer:

9mph

Step-by-step explanation:

Given the following :

Speed of train = 45miles per hour

Distance of the man = 2/5

To avoid just about being hit by the train:

The main may run to the start point of the bridge towards the train = 2/5 length of the bridge, this is also when the train gets to the bridge

If the man runs forward away from the train, he has to cover a distance of (1 - 2/5) = 3/5 to avoid being hit, this is also when the train gets to the end of the bridge.

From here it could be inferred that :

The distance 3/5 ran by the man away from the bridge is equivalent to (3/5 - 2/5) =1/5, which seems to be moved by th etrain during the same period.

However, the only explanation for the discrepancy in length or distance is that the train moves faster than the man.

If the train's speed = 45mph

Then the train's speed is 5 times the speed of the man;

Man speed is thus;

(1/5) * 45 = 9mph

Answer:

The number of innings Brantley pitched is 7.

Step-by-step explanation:

We are given that the table shows the number of innings pitched by each of the Greenbury Goblins' starting pitchers during the Rockbottom Tournament below;

         Pitcher                           Number of innings pitched

          Calvin                                            11

          Thom                                             12

          Shawn                                            7

            Kris                                               3

         Brantley                                           x

Let the number of innings Brantley pitched be 'x'.

The mean of the following data set is given by the following formula;

          Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of observations}}[/tex]

                  [tex]8 = \frac{11+12+7+3+x}{5}[/tex]

                 [tex]8\times 5 =33+x[/tex]

                 [tex]40 = 33+x[/tex]

                  x = 40 - 33 = 7

Hence, the number of innings Brantley pitched is 7.

Answer:

7

Step-by-step explanation:

Khan Academy

Answer:

17.95+18x <= 40

Step-by-step explanation

<= less than or equal to0

Answer:

The maximum number of miles than Chloe can drive are:

122.5

Step-by-step explanation:

$1 = 100¢

18¢ = 18/100 = $0.18

17.95 + 0.18m = 40

m = maximum number of miles than  can drive

0.18m = 40 - 17.95

0.18m = 22.05

m = 22.05/0.18

m = 122.5

Answer:

18. b. 4/14

19. b. 30/40

20. c. 21/48

21. a. 9/20

22. a. 6/24

Step-by-step explanation:

So in these questions all we do is multiply the fractions.

18)

[tex]\frac{4}{7} * \frac{1}{2}[/tex]

4*1 = 4

7*2 = 14

b. 4/14

19)

[tex]\frac{15}{2}*\frac{2}{20}[/tex]

15*2 = 30

2*20 = 40

b. 30/40

20)

[tex]\frac{3}{6}*\frac{7}{8}[/tex]

3*7 = 21

6*8 = 48

c. 21/48

21)

[tex]\frac{9}{10}*\frac{1}{2}[/tex]

9*1 = 9

10*2 = 20

a. 9/20

22)

[tex]\frac{3}{6}*\frac{2}{4}[/tex]

3*2 = 6

6*4=24

a. 6/24

Hope this helps :)

Answer:

work is shown and pictured

Answer:

7 and 14

Step-by-step explanation:

let one integer = x

other integer = 2x

sum of reciprocal = 1/x + 1/2x

= 3/2x = 3/14

= x = 7

one no. = 7

other no. = 14