Graph the line with the equation y
- 1x – 7.

Answer:

factoring: x=3 discriminant: 1089

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2−x−40=5+2x

Answer:

The  confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

  The  sample size is n = 41

For a 95% confidence the level of significance is  [tex]\alpha = [100 - 95]\% = 0.05[/tex] and

the critical value  of  [tex]\frac{\alpha }{2}[/tex]  is   [tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96[/tex]

For a 90% confidence the level of significance is  [tex]\alpha = [100 - 90]\% = 0.10[/tex] and

the critical value  of  [tex]\frac{\alpha }{2}[/tex]  is   [tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645[/tex]

So we see with decreasing confidence level the critical value  decrease

Now the margin of error is mathematically represented as

         [tex]E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }[/tex]

given that other values are constant and only [tex]Z_{\frac{\alpha }{2} }[/tex] is varying we have that

         [tex]E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }[/tex]

Hence for  reducing confidence level the margin of error will be reducing

  The  confidence interval is mathematically represented as

        [tex]\= x - E < \mu < \= x + E[/tex]

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value  reduces, the margin of error  reduces and the confidence interval becomes narrower

Using confidence interval concepts, according to the margin of error, the 90% confidence interval would be narrower than the 95% confidence interval.

The margin of error of a confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The higher the margin of error, the wider the interval is.

A similar problem is given at https://brainly.com/question/22966154

Answer:

60

Step-by-step explanation:

The multiples of 15 are : 15, 30, 45, 60, 75, 90, .... 60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples. Therefore, the lowest common multiple of 12 and 15 is 60.

Answer:

the LCM is 60

Step-by-step explanation:

Answer:

The reciprocal of 710 is simply 107

Step-by-step explanation:

The reciprocal means flip the top and bottom. The reciprocal of 710 is simply 107 .

Answer:

the answer is The reciprocal of 710 is 107

Step-by-step explanation:

Answer: one number is 2 and the other is five

Step-by-step explanation: subtract 3 from five and you get two then add them together to get 7. hope this helps.

Answer:

a) Coefficient of Variation for Height = 4.46%

b) Coefficient of Variation for Ages

= 12.26%

c)Comparing both Variations, the coefficient of variation for ages is larger than that of the mean and this is due to the fact that the

Step-by-step explanation:

Coefficient of Variation formula = Standard deviation / Mean × 100%

From the attached diagram, we are given sample data

1) For the Height

a) Mean of the Heights

= Sum of term/ Number of terms

= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12

= 884/12

= 73.66666667

b) Standard Deviation of Heights

For Sample data, the formula

=√ (X - Mean)²/n - 1

= 3.284490644

c) Coefficient of variation for Heights

Coefficient of Variation formula = Standard deviation / Mean × 100%

=( 3.284490644/73.66666667) × 100

= 0.04458584584 × 100

= 4.45858458441%

≈ 4.46%

2) Mean of ages

= Sum of terms/ Number of terms

= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12

= 330/12

= 27.5

b)Standard Deviation of Ages

For Sample data, the formula

=√ (X - Mean)²/n - 1

= √ (21 - 27.5)² + (26- 27.5)² +( 22- 27.5)² + (27- 27.5)² + (29- 27.5)² +( 26- 27.5)² +( 27- 27.5)² + (29- 27.5)² + (30 - 27.5)² + (31- 27.5)² + (31- 27.5)²+ (31- 27.5)²/12

=√ -6.5² + -1.5² + -5.5²+ -0.5² + 1.5² + -1.5² + -0.5² + 1.5² + 2.5² +3.5² + 3.5² + 3.5²/ 11

= √125/11

= √11.36363636

= 3.370999312

c) Coefficient of Variation

= Coefficient of Variation formula = Standard deviation / Mean × 100%

= (3.370999312/27.5) × 100

= 0.12258179316 × 100

= 12.258179316%

It should be noted that the coefficient of variation for height will be 4.46%.

The Coefficient of Variation formula will be:

= Standard deviation / Mean × 100%

The mean of the heights will be:

= Sum of term/ Number of terms

= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12

= 884/12

= 73.7

The standard deviation of heights is 3.28. Therefore, the coefficient of variation for heights will be:

= ( 3.28/73.7) × 100

= 4.46%

The mean of ages will be:

= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12

= 330/12

= 27.5

The standard deviation of ages is 3.37. Therefore, the coefficient of variation will be:

= (3.37/27.5) × 100

= 0.123 × 100

= 12.3%

In conclusion, the coefficient of variation for ages is larger than that of the mean.

Learn more about coefficient of variation on:

https://brainly.com/question/12327871

Answer:

Step-by-step explanation:

It is 7.3

Answer: 850ml

Step-by-step explanation:

IL = 1 000ml

1/4 × 100

= 850ml

Answer: it 1/2

Step-by-step explanation: i got the answer on test!!!

Answer:

Polynomials in one variable are algebric rcpressions that consist of terms in the form axn a x n where n id a non-negayive(i.e positive or zero)integer and a is a real number and is called the coefgicient of the term.The degree of polynomial in ine variable is the largest exponent in the polynomial.

Answer:

38.0067567568 hours

Step-by-step explanation:

Step-by-step explanation:

The expression is 7x-2y-1.

If x=3, then you multiply 3 and 7.

7x3=21.

21-2y-1

If y=4, then you multiply 4 and 2.

4x2=8.

21-8-1

Then you combine like terms.

21-9

So the answer is 11.

Hope it helps!

Answer:

8

Step-by-step explanation: Make sure to double-check and go in order !

answer: f(x)= 3x^2-9x+3

Answer:

r>3/2

Step-by-step explanation:

Hope this helps!!

Answer:

The expected value of the total sales projection is $24,773.

Step-by-step explanation:

Let sales be A,B and C respectively for each outcome.

Total Sales = A + B + C

E(Total Sales) = E(A + B + C)  

We know that A, B and C are three mutually exclusive events as they all cannot be true at a given point time

E(Total Sales) = E(A) + E(B) + E(C)

= 0.3*285*32 + 0.4*490*47 + 0.3*750*57

= $24,773

Therefore, expected value of the total sales projection is $24,773.

Answer:

Step-by-step explanation: 834^2n>4n

Answer:

12 pints

Step-by-step explanation:

Answer:

for C i would say its 2

Step-by-step explanation:

Hey there! Welcome to Brainly! I'm happy to help!

Let's plug this value of x into our equation.

y=12.5-7

y=5.5.

Have a wonderful day! :D

Steps to solve:

y = x - 7 when x = 12.5

~Substitute

y = 12.5 - 7

~Subtract

y = 5.5

Best of Luck!

Answer:

O= 0.6             E= 0.15             H= 0.25

E= 0.4              A= 0.024          N= 0.75

V= 0.58           Y= 174               R= 0.8

E= 17.1              E= 1.74              T= 0.008

S= 19.9            

Step-by-step explanation:

EVERYONE  _HATES

there is no 0.45 so a missing letter

Answer:

2x + 2

Step-by-step explanation:

robert equals x

Answer:

it would have to be 2x+2 to get ur x for robett

Answer:

she forgot to Putin a 0 for example

36,042

Answer:

Therefore, x = 23°, ∠LKM = 56° and ∠MKN = 89° .

Step-by-step explanation:

Given that ∠LKN is 145° so we can assume that ∠LKM addes together with ∠MKN will get 145° in terms of x :

[tex]∠lkn = ∠lkm + ∠mkn = 145[/tex]

[tex]2x + 10 + 4x - 3 = 145[/tex]

[tex]6x + 7 = 145[/tex]

[tex]6x = 145 - 7[/tex]

[tex]6x = 138[/tex]

[tex]x = 138 \div 6 = 23[/tex]

Next, we have to substitute x = 23° into the expressions of ∠LKM and ∠MKN :

[tex]∠lkm = 2(23) + 10 = 56[/tex]

[tex]∠mkn = 4(23) - 3 = 89[/tex]

Answer:

1/8

Step-by-step explanation:

3/4 can be rewritten as 6/8 to make this easier.

-5/8 + 6/8 is like doing -5 + 6, giving you 1. We can then reintroduce the denominator to get the answer of 1/8.

Answe 6-6

Step-by-step explanation: i hade 6 point and i lost 6 points hint 6-6

Answer:

-6 :(

Step-by-step explanation:

Answer:

x2 - 11x = -30

Step-by-step explanation:

x^2 - 11x = -30

add 30 to the left to make it = to zero

x^2 - 11x + 30 = 0

factor

(x-5)(x-6) = 0

check by FOIL

x times x = x^2

x times -6 = -6x

x times -5 = -5x

-6 + -5 = 11x

-5 times -6 = 30

Answer: 8

Step-by-step explanation:

Answer:

y = 2x + 6

Step-by-step explanation:

The equation for a linear line is y = mx + c.

We know we want it to cross the y-axis at 6, so the y-intercept (c) can be assumed to be 6.

If we substitute in the x that we want, we end up with this:

0 = m(-3) + 6

m = 2

So now we can form the equation:

y = 2x + 6

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

Step 2: Solve for x

Subtract 3x on both sides: 2x - 11 = 5

Add 11 to both sides: 2x = 16

Divide both sides by 2: x = 8

Step 3: Check

Plug in x to verify it is a solution.

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

Answer:

5

Step-by-step explanation:

x + 2x + 6+x = 26

2x + 2x = 26 - 6

4x = 20

x = [tex]\frac{20}{4}[/tex]

∴ x = 5.