An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis. The company has set an
acceptable range of repair time of 50 minutes to 90 minutes. Two firms have submitted bids for the work. In test trials, one firm had a
mean repair time of 74 minutes with a standard deviation of 4.0 minutes and the other firm had a mean repair time of 72 minutes with a
standard deviation of 5.1 minutes. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Firm Cpk

1 ___
2 ___

Which firm would you choose?

Firm 1
Firm 2
None

The equation for the parabola with the given characteristics is:

y = (2/35)*(x + 7)*(x - 5)

We know that for a parabola that has the zeros x₁ and x₂, and a leading coefficient a, can be written as:

y = a*(x - x₁)*(x - x₂)

In this case, the roots (zeros) are at X =-7 and x = 5

Then we can write:

y = a*(x + 7)*(x - 5)

Now we also know that it passes through the point (0, -2), then we can write:

-2  =a*(0 + 7)*(0 - 5)

-2 = a*-35

2/35 = a

Then the equation for the parabola is:

y = (2/35)*(x + 7)*(x - 5)

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The drug administered to the patient by the doctor has a half-life of 5 hours

Half-life is the time required for a quantity to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential decay.

The formula is given as;

T1/2 = ln2 / λ

Where;

But λ = 15% = 0.15/hr

t1/2 = ln2 / 0.15

T1/2 = 0.693/0.15

T1/2 = 4.62 = 5 hours.

The drug has an half-life of approximately 5 hours

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Answer:

-6/11

Step-by-step explanation:

please follow me to mark me on brainliest

Answer:

I am thinking the answere is -6 x 7 but I'm not completely

Value of x rounded to nearest tenth is 25.5 units.

Given in question,

Right angled triangle CDE

θ = 20°

CD = perpendicular = 24 units

CE = Hypotenuse = x

Therefore,

cosθ = Perpendicular/Hypotenuse

cos 20 = 24/x

0.9397 = 24/x

         x = 24/0.9397

            = 25.54

Hence, value of x rounded to nearest tenth is 25.5 units.

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Answer: 175

Step-by-step explanation:

7 x 1 x 5^2

7 x 1 x 25

7 x 25

175

Answer:

175

Step-by-step explanation:

Since we have 7ca^2 and since we know a = 5 and c = 1, we can just plug in these values for a and c and follow the order of operations:

[tex]7ca^2\\7(1)(5)^2\\7(1)(25)\\7*25=175[/tex]

The total cost of the shoes after tax is 105.84 dollars.

Sales tax is a tax on goods and services purchased and is normally a percentage added to the buyer's cost.

Jaclyn bought new shoes priced at $98 and sales tax is 8%. The total cost of the shoes after tax can be calculated as follows;

Therefore, the cost after tax is the sum of the cost and the sales tax.

Hence,

sales tax = 8% of 98

sale tax = 8 / 100 × 98

sales tax = 784 / 100

sales tax = $7.84

Hence,

total cost after tax = 7.84 + 98 = 105.84 dollars

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Answer:

I am definitely not one...Lol

Step-by-step explanation:

The series as represented in the task content is divergent and hence; diverges.

It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.

It is noteworthy to know that;

If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.

Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.

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Answer:

y=-5x+19

Step-by-step explanation:

yeah -ya...... right?

The number of minutes that the executive use the phone is 131 minutes.

From the information, the cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use.

Let the number of minutes be m.

This will be illustrated as:

35 + 0.40m = 87.80

Collect like terms

0.40m = 87.80 - 35

0.40m = 52.80

Divide

m = 52.40 / 0.40

m = 131

The number of minute is 131 minutes.

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The number of notes of Rs. 100 is 1000, Rs. 50 is 1500, and Rs. 10 is 2500.

The ratio describes the number of times one number contains another. It helps to establish a relationship between two or three quantities.

The ratio between any two quantities is described as a:b. This can also be written as a to b or a/b.

The ratio of RS.100, RS.50, and RS.10 is 2:3:5.

From the given ratio, consider

The total amount is given as RS.200,000. This can be written as,

[tex]\begin{aligned}100\times2x+50\times 3x+10\times5x&=200,000\\200x+150x+50x&=200,000\\400x&=200,000\\x&=\frac{200,000}{400}\\x&=500\end{aligned}[/tex]

Therefore,

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The expression that must be equivalent to the one give must be 1/3x - 2

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable. Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

In this problem, we just need to simply the expression to get the answer to this.

1/3(x + 6) - 4

Step 1 : Expand or open the bracket

1/3x + 2 - 4

Step 2: Simplify the expression.

1/3x + 2 - 4 = 1/3x - 2

The equivalent expression must be 1/3x - 2

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Answer:

B and D are the correct answers.

The factored expression of (x - 3)^2 - 64y^4 is given as follows:

(x - 3)^2 - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

The subtraction of perfect squares is a notable product that gives the simplification of an expression containing the subtraction of perfect squares as follows:

a² - b² = (a - b)(a + b).

In this problem, the expression is presented as follows:

(x - 3)^2 - 64y^4

This expression is a subtraction of perfect squares, as the terms are given as follows:

Then the expressions are given as follows:

Then the factored expression is presented as follows:

a² - b² = (a - b)(a + b).

(x - 3)² - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

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Answer:

false

Step-by-step explanation:

25% is equivalent to 0.25

Answer:

Step-by-step explanation:

do you happen to know the formula for finding the area of a cone?

V=π*[tex]r^{2}[/tex]*h/3

does that formula look familiar?

we know the radius ,  r,  is 18 and the height, h is 6  :)  can you figure this out now?   just plug those into the formula above  :)

All that apply are:

The slope is 0.

The y-intercept is -2

The line is horizontal.

The equation of the line is Y = -2.

Given points:

(1,-2) and (4,-2)

slope m = -2-(-2) / 4 - 1

= -2+2/3

= 0

so slope is 0

y = mx + c

(1,-2) passes

-2 = 0*1 + c

c = -2

y = 0*x + -2

y = -2

so the line is horizontal and equation of the line is y = -2.

The y-intercept is -2.

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The equation of a line in y = mx + b form that passes through (5,-5) and (-5, -3) is y = (-1/5)x - 4.

The formula to calculate the slope between two points is equal to

[tex]m = y2-y1/(x2-x1)[/tex]

Find the slope of Line a

We have the points

(5,-5) and (-5, -3)

Substituting the value in the formula

[tex]m = -3 - (-5)/(-5-5)\\m = (-3 + 5)/(-10)\\m = 2/-10\\m = -1/5[/tex]

The slope is -1/5.

Finding the y-intercept from the below-given equation:

y = mx + b ...... (1)

Putting value of y = - 5, x = 5, m = -1/5

-5  = (-1/5) x (5) + b

-5 = - 1 + b

=> b = - 4

Putting the value of b = - 4 and m = -1/5 in equation (1). We get,

y = (-1/5)x - 4

Hence, the equation of the line is y = (-1/5)x - 4.

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The reflection of the graph in the x-axis gives the function

g(x) = -x² - 3x - 2

The given function is of the form f(x) = x² + 3x + 2 which represents a parabola.

The vertex of the function is at (-3/2 , -1/4)

The focus is at ( 3/2 , 0 )

The axis of symmetry is 2x+3 = 0 and the directrix is at 2x + 1 = 0

Now when the parabola is reflected along the x-axis we get

the focus at ( -3/2 , 0 )

the vertex is at  (-3/2 , 1/4)

Axis of symmetry remains the same

The directrix becomes 2y-1 =0

The red graph denotes the function f(x) while the blue graph denotes the function g(x) reflected on the x-axis.

Hence the reflection on the x-axis gives the function g(x) = -x² - 3x - 2

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The future value of an investment with such details must have a present value of $11120.58

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date. The present value formula (PV formula) is derived from the compound interest formula. The compound interest formula is,

FV = PV(1 + r/n)^nt

We can substitute the values into the formula

15000 = PV(1 + 0.06/12)^12*5

15000 = PV(1.005)^60

PV = 11120.58

The present value of an investment to give a future value of $15000 at 6% rate in 5 years is $11120.58

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If It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by 70% per year. After one year is 85 and after two years is 144.50.

Using this formula

A = P(1+r)t

Where:

A = Amount

P = Principal

r =Interest rate

t = time

Let plug in the formula

After one year:

A = 50(1+0.70)^1

A = 50(1.70)^1

A= 85 deer

After two years:

A = 50(1+.70)^2

A = 50(1.70)^2

A = 50(2.89)

A = 144.50 deer

Therefore the population growth is 85 deer and 144.5 deer.

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The complete question is:

A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 600 deer. Absent constraints, the population would grow by 70% per year.

how many after one year

how many after two years

Answer:

Step-by-step explanation:

This is a simple linear equation.

Y=12x + 43

The 12x represents the money he makes hourly, as x represents each hour he works

+43 represents the amount of money in tips he made since this was added on top of the hourly pay he was making.

Answer:

your welcome

Step-by-step explanation:

42+43=85$

to get the 42 you have to do 83-43 and that leaves you with 42

The polynomial of p(x) is 20/13(x³+4x²-9x-36) with the satisfying's conditions degree 3.

Given that,

An nth degree polynomial p meets the requirements listed below:

p is of degree 3.

-3 is a multiplicity 1 zero of p.

-4 is a zero, with multiplicity 1, of p.

3 is a root, with multiplicity 1, of p.

p(-2)=-40

We have to determine an nth degree polynomial that satisfier the conditions.

Let the polynomial be p(x) whose zero are -3,-4 and 3.

a be the coefficient.

p(x)=a(x+3)(x+4)(x-3)

p(x)=a(x²-3²)(x+4)

p(x)=a(x²-9)(x+4)

p(x)=a(x³+4x²-9x-36)

Now, take x=-2

p(-2)=a((-2)³+4(-2)²-(-2)-36)

-40=a(-8+16+2-36)

-40=a(-26)

a=-40/-26

a=40/26

a=20/13

We get,

p(x)=20/13((x+3)(x+4)(x-3))

p(x)=20/13(x³+4x²-9x-36)

Therefore, the polynomial of p(x) is 20/13(x³+4x²-9x-36) with the satisfying's conditions degree 3.

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Answer:

3.1

Step-by-step explanation:

23.5-6.8x

x=3

first put 3 in for x

23.5-6.8(3)

now solve the expression

23.5-20.4

3.1

Answer:

60/15

Step-by-step explanation:

A fraction is simply a portion of a whole number, so 1/15 is the number 1 split into fifteen equal parts, therefore 15/15 = 1.

So 4 as a fraction with fifteen as the denominator would be 15/15 x 4, which equals 60/15.

Answer:

The following question has been answered in the attached document. If there are any queries kindly let me know they will be resolved shortly.

PRO TIP:

don't forget to mention y=0 on x axis and x=0 on y axis whenever you are drawing a graph as it accounts for 1/2 mark in board exams.

The line cuts the y axis at (0, -4) Also (0,0) satisfies the inequality So the shaded region is towards (0, 0). Since there is a strict inequality, the line is a broken line

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, [tex]\geq[/tex], [tex]\leq[/tex]

A one degree inequation is known as linear inequation.

The given linear inequality is

2x - 3y < 12

For the point on x axis for the line 2x - 3y = 12

we put y = 0

[tex]2x - 3\times 0 = 12\\2x = 12\\x = \frac{12}{2}\\x = 6[/tex]

The line cuts the x axis at (6, 0)

For the point on y axis for the line 2x - 3y = 12

we put x = 0

[tex]2\times 0 - 3y = 12\\-3y = 12\\y = \frac{12}{-3}\\y = -4[/tex]

The line cuts the y axis at (0, -4)

Also (0,0) satisfies the inequality

So the shaded region is towards (0, 0)

Since there is a strict inequality, the line is a broken line

The graph has been shown in the figure attached

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The greatest width possible in line is 0.8.

What is line?

a line is an infinitely long to the object with no width, depth, or curvature. Thus, the  lines are the one of one-dimensional objects, though they may exist on it  two, three, or higher of the  dimension spaces. The word line may also refer to a line are the segment in everyday life, which has two points to denote its ends.

Sol-As per the given question The line r has slope 8 and coordinate (0.8).

The slope of the line r will not change.

And intercept is the addition of their ordinate will be.

Intercept = 5+3

Intercept = 8

So, the line r has slope 8 and coordinate (0.8).

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