PLEASE HELP!!!! Solve using the quadratic formula

We have to find how the interval (1-α) affects the width of the confidence interval.

The interval (1-α) represents the confidence required for the interval.

The greater the confidence required, the wider will be the interval.

This means also that when we decrease the confidence required, the interval width decrease too, as we are less strict with the number of sample means that have to fall within that interval.

Then, when (1-α) decreases, the width of the confidence interval also decreases.

Answer: A. Decreased,

EXPLANATION

The area of the figure can be obtained by applying the following relationship:

Where b=base and height=h

In order to find the height, we need to apply the trigonometric relationship:

Multiplying both sides by 6.4:

Solving the argument:

Switching sides:

Now that we have the height, we can compute the area as follows:

The answer is 53.24 squared inches.

The value of expression 4 1/5 + 3 2/3 + 1 1/6  is 9 1/30

Given that,

to  simplify: 4 1/5 + 3 2/3 + 1 1/6

Mixed fraction definition?

It is a type of fraction, and those that have both a fraction and a whole number are considered to be it.

How to convert Improper fraction to a mixed fraction?

Divide the fraction's numerator by its denominator, or 15/7, in step one.

Second Step: Since 2 is an integer, the answer's integer component will be a mixed fraction.

Step 3: The original denominator of seven will be used as the denominator.

Step 4: The incorrect fraction 15/7 is now a mixed fraction with the value 2 (1/7)

To simplify ,

4 1/5 + 3 2/3 = 7 13/15

7 13/15 + 1 1/6 = 9 1/30

Therefore the correct answer is 9 1/30

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After solving the equation x^2-2x-7=0, values of x are -1 + 2√2 and

-1 - 2√2.

A quadratic equation has a leading coefficient of the second degree.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.  

After applying the quadratic formula to it we get,

[tex]x = \frac{-b +\sqrt{b^{2} - 4ac } }{2a} \\ x = \frac{-b -\sqrt{b^{2} - 4ac } }{2a}[/tex]

where a = 1

b = 2

c = -7

After putting the values of a,b, and c, we get

x = -1 + 2√2 and,

x = -1 - 2√2 .

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The equation of the line is y = -2.5x - 1

The table represents the given parameter

On the table, we have the following points

Point, (x, y) = (0, -1) and (2, -6)

So, we start by calculating the slope of the line using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are defined above

So, we have

Slope = (-6 + 1)/(2 - 0)

Evaluate

Slope = -2.5

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

Slope, m = -2.5

(x₁, y₁) = (0, -1)

So, we have

y = -2.5(x + 0) - 1

Open the brackets and evaluate

y = -2.5x - 1

Hence, the line has an equation of y = -2.5x - 1

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A computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

As given in the question,

As per condition:

Computer rendered 540 thousands pixels of a kitchen scene and renders another 90kpx each minute:

The expression for the kitchen is illustrated as 540 + 90t

Computer rendered 960kpx of a garden scene and renders 60kpx more pixels each minute

The expression for the garden is illustrated as 960 + 60t

For the scenes have the same amounts rendered is given by :

540 + 90t = 960 + 60t

Collect like terms

90t - 60t = 960 - 540

⇒30t = 420

⇒t = 420/30

⇒t = 14

Therefore, a computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

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The approximate probability that between 70 and 90 is 0.728.

Using normal distribution,

Mean = xbar = np = 400 × 0.2 = 80

Standard deviation = √[np(1-p)] = √(80 × 0.8) = 8

To ensure that the distribution is normal,

np ≥ 10

80 ≥ 10

And,

np(1-p) ≥ 10

80(0.8) = 320 ≥ 10

Hence, we use the z-tables for this

a) Convert 75 and 100 into standardized scores.

A value's standardized score is equal to the value minus the mean divided by the standard deviation.

z = (x - xbar) ÷ σ

For 75

z = (75 - 80) ÷ 8 = - 0.625

For 100

z = (100 - 80) ÷ 8 = 2.5

To calculate the approximate likelihood that between 75 and 100 (inclusive) mufflers will be replaced under warranty.

P(75 ≤ x ≤ 100) = P(-0.625 ≤ z ≤ 2.5)

For these probabilities, use data from the normal probability table.

P(75 ≤ x ≤ 100)

= P(-0.625 ≤ z ≤ 2.5)

= P(z ≤ 2.5) - P(z ≤ -0.625)

= 0.994 - 0.266

= 0.728

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Answer:

The selling price is:  [tex]\$77,520[/tex]

Step-by-step explanation:

Step 1: Identify the profit made

A profit of 14% is made on the article.

This means that the article was sold at a price that had 14% of its original price added to it.

The 14% of the original price is:

[tex]14\% \times 68000\\=\frac{14}{100}\times 68000\\\\\text{Calculate the value}\\\frac{14}{100}\times 68000\\=9520[/tex]

So, a profit of $9520 was made

Step 2: Calculate the selling price

The selling price will be the sum of the original price and the profit.

The selling price is:

[tex]68000+9520\\=77520[/tex]

The people of the Plymouth Colony fail to achieve the ideals of the Mayflower Compact as A. They did not come together to create a government.

The Mayflower Compact was the Plymouth colony's first government instrument. The Pilgrim Fathers, the emigrants who crossed the Atlantic on the Mayflower in search of religious freedom, wrote the manifesto. On November 11, 1620, it was signed on the sands of what is now Provincetown, near Cape Cod. The pilgrims knew they were in a land unfamiliar to the London Company when the Mayflower docked in Plymouth.

The strangers claimed that the Virginia Company contract was null and void. They believed that because the Mayflower landed outside of Virginia Company territory, they were no longer bound by the charter of the company. Because there was no official government over them, the stubborn strangers refused to acknowledge any regulations.

Many of the pilgrims were already weak from disease and a lack of food when they arrived in Plymouth. The journey had been lengthy, and they were running low on supplies. During the winter, the colony lost about half of its population owing to disease and famine.

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Answer:its A i did it on edge

Step-by-step explanation:

Answer:  [-4, 0] which is choice A

=====================================================

Reason:

lowest point is when y = -4

highest point is when y = 0

The range is any value of y between these values, including the endpoints themselves. We say the range is [tex]-4 \le y \le 0[/tex] which condenses to the interval notation [-4, 0]

Use square brackets to include the endpoints.

If there were open holes at the highest and lowest points, then we would use curved parenthesis instead.

Answer:

Rhombus:  All sides congruent, two pairs of parallel sides

Parallelogram: Two pairs of parallel lines

Rectangle: 4 right angles, Two pairs of parallel sides

Step-by-step explanation:

Trenton’s scouting group make 15 purple T-shirts.

Suppose a number is 'a'. Suppose another number is 'b'. We want to know how much percent of 'b' is 'a'. Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

We have been given that Trenton’s scouting group made 100 T-shirts for a charity fundraiser.

Also the angle measure of the section for purple is 54°, then;

54 / 360 = percent /100

percent = 15

Therefore, 15 percent of 100 T shirt would be;

15/100 x 100

15

Hence, Trenton’s scouting group make 15 purple T-shirts.

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The estimate of the impact that a successful preventive program might have can be derived from

attributable risk.

In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.

Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.

The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.

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The cosine ratio is given by the following formula:

The adjacent leg of angle Z is side ZY=12 and the hypotenuse of the triangle is the side XZ=20, thus the cosine ratio of Z is:

The length will then be L = 18(41/19) = 738/19 cm.

As a check, the area should be A = LW = (738/19)(41/19) = 30258 cm2

sorry if this isn't much help but i had a similar problem once and i used the same steps for your question

The final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

Given that, AUV is at an elevation of -8.25 ft. It dives down [tex]6\frac{2}{3}[/tex] ft to collect a specimen. Then the AUV dives another [tex]15\frac{3}{4}[/tex] ft.

The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation".

Here, the mixed fraction can be written in improper fraction

[tex]6\frac{2}{3} = \frac{20}{3}[/tex] and [tex]15\frac{3}{4}=\frac{63}{4}[/tex]

Now, 8.25 = 825/100 = 33/4

The final elevation = -33/4-20/3-63/4

= -99/4 - 20/3

= -297/12 -80/12

= - 377/12

= [tex]-31 \frac{5}{12}[/tex]

Therefore, the final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

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This is given point in the fourth quadrant.

In this point, the adjacent is

The opposite is y.

Find hypotenuse h using the pythagorean theorem:

is equal to hypotenuse by adjacent.

is equal to adjacent by opposite.

In the fourth quadrant,

is positive , and

is negative.

So,

Answer:

i d k 20???????????

Step-by-step explanation:

Answer:

The visitor attended no special exhibits and so paid a total of $10 just to get in.

An equation to represent the cost of admission could look like this:

f(x) is the total cost.

x is the number of special exhibits attended.

f(x) = 2x + 10

If I see no special exhibits on my visit,

x = 0, then

f(0) = 2•0 + 10

f(0) = 10

I only pay $10.

Answer:

=============================

Segment EF with:

Use midpoint equation:

Find unknown coordinates of the point F:

So the point is F = ( - 22, 4)

Answer:

F = (-22, 4)

Step-by-step explanation:

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\\\\ \textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.}[/tex]

Given information:

Define the endpoints of the line segment EF:

Substitute the given information into the formula:

[tex]\implies (x_M,y_M)=\left(\dfrac{x_F+x_E}{2},\dfrac{y_F+y_E}{2}\right)[/tex]

[tex]\implies (-6,-2)=\left(\dfrac{x_F+10}{2},\dfrac{y_F-8}{2}\right)[/tex]

Find the x-coordinate of M:

[tex]\implies \dfrac{x_F+10}{2}=-6[/tex]

[tex]\implies x_F+10=-12[/tex]

[tex]\implies x_F=-22[/tex]

Find the y-coordinate of M:

[tex]\implies \dfrac{y_F-8}{2}=-2[/tex]

[tex]\implies y_F-8=-4[/tex]

[tex]\implies y_F=4[/tex]

Therefore, the coordinates of endpoint F are (-22, 4).

Answer:

6.50 × 65 tickets.

Answer = $422.5

The theater sells 43 adult tickets and 22 child tickets.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let us assume,

The number of adult tickets sold is x

The number of tickets sold for children is y

Since the total number of tickets sold is 65,

x + y = 65 .....(i)

Charge per adult ticket=$10.50,

So the amount collected by selling adult tickets is 10.50×x

Charge per child ticket=$6.50,

So the amount collected by selling tickets for children is 6.50×y

We know that the total amount earned by the theater is $594.50

So, 10.5x +6.5y = 594.50  ......(ii)

After solving equations (i) and (ii), we get the values of x and y as

x = 43 and y = 22

Therefore, the theater sells 43 adult tickets and 22 child tickets.

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it's 27/8 .........................

Answer:

[tex]x = 30[/tex]

Step-by-step explanation:

In the diagram above, MN is a straight line which equals 180.

RL is vertically opposite to KS

(Vertically opposite angles are equal ⟹RL = KS).

So, MN becomes:

[tex]90 + 2x + 30 = 180[/tex]

Collect like terms

[tex]90 + 30 + 2x = 180→120 + 2x = 180→2x = 180 - 120→2x = 60[/tex]

Divide 2x = 60 by 2

[tex]x = \frac{60}{2} [/tex]

Therefore: [tex]x = 30[/tex]

There is a profit made by the Mia in that particular month of the amount $350.

For the given question,

The table is given for the revenue and expenses made by Mia.

The total revenue made by Mia in that particular month is $9,550.

The total fixed expenses are $9,000.

The variable expense is $200.

Thus, the difference in the expense is-

Difference = Revenue - fixed expense - variable expense

Difference = $9,550 - $9,000 - $200.

Difference = $350

As, the difference is positive there is profit made by Mia.

Thus, there is a profit made by the Mia in that particular month of the amount $350.

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⇒For perpendicular lines when their gradients are multiplied they have to give -1, in this case we are given a line with gradient [tex]\frac{1}{2}[/tex] meaning the gradient of the line perpendicular to it will be -2 since

[tex]-2*\frac{1}{2} =-1[/tex]  this means that the gradient of the new line will be -2

⇒Now we have a point and  gradient.

⇒And we know that the general equation for a straight line is y=mx+c

[tex]3=-2(0)+c\\3=c\\c=3[/tex]

The equation of the line perpendicular to the given one is

y=-2x+3

GOODLUCK!!

The given  polynomial function f(x)=x^3 - 2x^2 - 5x + 6 as a product of linear factors as (x+2).(x-3).(x-1)

In the above question, a polynomial function is given

f(x)=x^3 - 2x^2 - 5x + 6

However, we know that, zero of a polynomial means all the x-values that bring a polynomial, p(x), to zero are referred to as its zeros, which means putting any value of x in the function we should get value of f(x) as zero

And, in the question, it is given as

f(0)=6, f(2) = -4, f(-2) = 0, f(3) = 0 , f(-1) = 8 , f(1) =0

We can clearly see that,  f(-2) = 0, f(3) = 0, f(1) =0

=> (x+2), (x-3), (x-1) are the linear factors of the given polynomial

Hence, we can write the given  polynomial function f(x)=x^3 - 2x^2 - 5x + 6 as a product of linear factors as (x+2).(x-3).(x-1)

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Multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

So, -4y × 1/5y:

Theefore, multiplication is not possible with so similar variables in the denominator, in the given fractions and hence the answer is incorrect.

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Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

You're very welcome my sir or ma'am

Answer:

  x = 3⁴

Step-by-step explanation:

You want the exponential form of log₃(x) = 4.

It can be helpful to remember that a logarithm is an exponent of the base of the logarithm.

  log₃(x) = 4   ⇔   x = 3⁴

The exponential form is x = 3⁴.