wo competing companies are having sales on projectors. Projector #MD375 has a retail price of $1,200. The Office Spot is advertising #MD375 for 20% off, while Office & Beyond has stated they will match any competitor’s advertised special and take an additional 15% off of the competitor’s advertised price. How much money is saved by purchasing the projector from Office & Beyond instead of the Office Spot?

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.

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

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So Explicit formula for 2nd one

Or general formula as per Geometric progression

For 50 years there are 365(50)=18250days excluding leap years (We will check for leap year if neck to neck situation arises)

Now find sum

Sum of 18250 terms

[tex]\\ \rm\Rrightarrow \dfrac{a(r^n-1)}{r-1}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1(2^{18250}-1)}{2-1}[/tex]

1 from both denominator and numerator cancels out

[tex]\\ \rm\Rrightarrow 2^{18250}-1[/tex]

[tex]\\ \rm\Rrightarrow 6.272214002E5493[/tex](Accurate)

It's far more than 1 M so second option would give you more penny

Answer:

7

Step-by-step explanation:

When x = 5, 2x³ - 12x² + 11x + 2 = 7.

Answer:

The answer is 15x + 7

Step-by-step explanation:

Since the perimeter of a REGULAR polygon is the number of sides multiplied by the length, and the lengths of the sides are all different, it can be assumed that this is an irregular polygon. That means the formula to find the perimeter changes to all the sides added together.

 1 x + 3

 2 x - 4

 5 x + 0

+ 7 x + 8

 15 x + 7

Answer:

1

Step-by-step explanation:

So the sum of a finite geometric series can be defined as: [tex]S_n = \frac{a_1-a1*r^n}{1-r}[/tex] where r is the constant ratio or how much more greater the current term is, compared to the previous term (how much it's being multiplied by), and the n is the number of terms in the series. So with the given information you have the equation:

[tex]1365=\frac{a_1-a_1*4^6}{1-4}[/tex]

Simplify:

[tex]1365=\frac{a_1-4096a_1}{-3}[/tex]

Multiply both sides by -3

[tex]-4095 = a_1-4096a_1[/tex]

Subtract coefficients

[tex]-4095=-4095a_1[/tex]

Divide both sides by -4095

[tex]1 = a_1[/tex]

The critical value and the conclusion are mathematically given as

z_{0.05}=1.960 and  z<Zcritical, therefore we Reject H_o

a)Test statistic  z=-3.32

Claim: p< 0.5

a=0.05

critical value z_{0.05}

z_{0.05}=1.960

b)

z<Zcritical,

Beause z=-3.32< z_{0.05}=1.960 Reject H_o

In conclusion,

z_{0.05}=1.960 and  z<Zcritical, therefore we Reject H_o

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Answer:

9

Step-by-step explanation:

35(a) / 7 = 5

28(b) / 7 = 4

a + b = 35 + 28

35 + 28 = 63

63 / 7

= 9

Hope that helps! :)

Answer:

20 months

Turn sentences into equation:

She deposits $225 every month after initial deposit of $2500 in first month

Equation: y = 2500 + (x - 1)225

where y represents total amount, x represents months

Use this equation to find at which month her account will have $6,775

2500 + (x - 1)225 = 6,775

(x - 1)225 = 6,775 - 2,500

(x - 1)225 = 4275

x - 1 = 19

x = 20

Thus, it will take 20 months when she have a total of $6,775.

Answer:

Your average improved by 13 [tex]\frac{1}{3}[/tex] %.

Step-by-step explanation:

First set:

(75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90) ÷ 9 = 77 [tex]\frac{2}{9\\}[/tex] %

Second set:

(85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90) ÷ 9 = 90 [tex]\frac{5}{9}[/tex] %

Improvement:

90 [tex]\frac{5}{9}[/tex] % - 77 [tex]\frac{2}{9\\}[/tex] % = 13 [tex]\frac{1}{3}[/tex] %

Answer:

146

Step-by-step explanation:

arrange your values in descending order then cancel out last value with the first value.

the middle value would be your answer.

hope it was helpfull.please give me a thanks

Hey!

Your equation is -

[tex]x {}^{2} - 25 + 16 = 0[/tex]

[tex]x {}^{2} - 9 = 0[/tex]

We can write 9 as 3² (Why?) because it forms identity a² - b² = (a + b) (a - b) .

[tex]x {}^{2} - {3}^{2} = 0[/tex]

[tex](x - 3)(x + 3) = 0[/tex]

This gives the information that either,

x - 3 = 0 or x + 3 = 0

So, x = 3 or x = -3

Hope it helps, you may ask if you have any confusions ^-^

Answer:

x = 3,   x = -3

Step-by-step explanation:

x² - 25 + 16 = 0

⇒ x² - 9 = 0

• Add 9 to both sides:

⇒ x² = 9

• Square root both sides of equation:

x = [tex]\sqrt{9}[/tex]

x = ± 3

x = 3  and  x = -3

In the the figure above AC bisects BCD in the quadrilateral, the length of CD will be 6cm.

It should be noted that the longer diagonal is a perpendicular bisector of the shorter diagonal.

From the diagram given, the value of AD is 6cm. Therefore, according to the angle bisector theorem, the value of CD is 6cm as they're congruent.

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Based on the calculations, the formula of this sinusoidal function is equal to f(x) = 6cos(2x) + 4.

Mathematically, the standard equation of a cosine function is given by:

y = Acos(Bx - C) + D

Where:

For the amplitude, we have:

A = maxline - midline

A = 10 - 4

Amplitude, A = 6.

Since the maxline to the midpoint is euqal to π/4, we have:

¼ × P = π/4

4P = 4π

P = π

For the value of B, we have:

B = 2π/P

B = 2π/π

B = 2.

Since there isn't any phase shift, the value of C is equal to zero (0) and D is equal to 4.

Next, we would substitute the parameters into the cosine function:

y = Acos(Bx - C) + D

y = 6cos(2x - 0) + 4

f(x) = y = 6cos(2x) + 4.

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Answer:

(1, 2)

Step-by-step explanation:

So you can solve this systems of equations by substitution. Substitution involves "finding" the value of one of the variables and then substituting that into the other equation

In this example I'll try to define an equation equal to that of "2x" using the first equation and then substitute that into the second equation

Given:

[tex]x-3y=-5[/tex]

Add 3y to both sides

[tex]x=3y-5[/tex]

Multiply both sides by 2

[tex]2x = 6y-10[/tex]

Given:

[tex]2x+5y=12[/tex]

Substitute 2x as (6y-10)

[tex](6y-10)+5y=12[/tex]

Simplify

[tex]11y-10=12[/tex]

Add 10 to both sides

[tex]11y = 22[/tex]

Divide both sides by 11

[tex]y=2[/tex]

Plug 2 in as y (works for either given equation)

[tex]x-3(2)=-5[/tex]

simplify

[tex]x-6=-5[/tex]

add 6 to both sieds

x=1

Answer:

[tex]\huge\boxed{\sf 64}[/tex]

Step-by-step explanation:

[tex]f(x) = 8^x[/tex]

Put x = 2

[tex]f(2) = 8^2\\\\f(2) = 8 \times 8\\\\f(2) = 64\\\\\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The value of x is 1.56ft.

The Pythagoras theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse of the right-angle triangle.

If p is the height, b is the base and h is the hypotenuse then according to the Pythagoras theorem

p²+b²=h²

Here given that the radius of the circle is r=2.1 ft

the perpendicular distance from the center of the circle to the line =1.4ft

that perpendicular line will bisect the line of length 2x.

Foe which each half of the line will be x.

Applying Pythagoras theorem in the right-angle triangle,

1.4²+x²=2.1²

⇒1.96+x²=4.41

⇒x²= 4.41-1.96

⇒x²= 2.45

⇒x= 1.56 ft

Therefore the value of x is 1.56ft.

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Answer:

Step-by-step explanation:

2 over 6 = Y over 9 Fraction equation is required

2/6 = y/9

y = 2/6 * 9

y = 3

check

2/6 = 3/9

1/3 = 1/3

the answer is good

Answer:

D.134

Step-by-step explanation:

Answer:

Yes, they are congruent

Step-by-step explanation:

The triangles are congruent as they follow the ASA rule or, Angle Side Angle.

All the angles AND sides are corresponding, so they are congruent.

Hope this helped (:

The value of x has a positive sign and the value of y has a negative sign. Option C

An angle in the unit circle of angle α with a radius of 1 with the set of points;

cos α and sin α

In the given problem, we have the angle as -60º, which is equal to an angle of 360 - 60 to give us 300º

Also, it is in the fourth quadrant, where the cosine is positive and the sine is negative.

Thus, the value of x has a positive sign and the value of y has a negative sign.

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Answer:

y = -2x + 31

Step-by-step explanation:

Vertex form a parabola refers to a place or a point where it turns. It takes the form of;

y = mx + c

From our question, we are supposed to convert the equation y-7 = (12-x)2 into vertex form.

To begin, open the brackets on the RHS;

y - 7 = 24 - 2x.

Then move -7 to the RHS which becomes the positive.

Y = 24 - 2x + 7

= 31 - 2x

Convert it to the form y = mx + c.

y = -2x + 31

This is the vertex form, y = -2x + 31.

Note:

Answer:

logarithmic

Step-by-step explanation:

I'm jujust that good to help you

The expression for the total number of units of the product received is x + y.

The total will be =y+x because it will be the sum of the two shipment quantities.

b. Cost = $.20(x)+$.25(y) because the cost will be the sum of the costs per unit for each shipment.

c. 5000 =x+y allows for any combination of x and y units.

d. Total will be: x+y where x<=4000 and y<=3000

e. The minimum cost is where a and b are minimized in demand =ax+by. We cannot determine a maximum value for a or b because we do not know what the demand is. If the problem calls for referral to part b, then use the equation demand=$.20x

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Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

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The independent variable is brush strokes

The statement is given as:

"I did 60 brush strokes in 1 minute"

The independent variable is the action that is done.

From the statement.

The action is the strokes of brush

Hence, the independent variable is brush strokes

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Answer:

[tex]21 \frac{1}{3}[/tex] fit into the product

Step-by-step explanation:

so you want to convert [tex]2 \frac{2}{3}[/tex] into a fraction by multiplying 2 by 3 and adding it to the 2. This will give you (3 * 2) = 6 => 6+2=8 which is the numerator. So the fraction becomes [tex]\frac{8}{3}[/tex] and since the two fractions are equal they both become this. So now you have [tex]\frac{8}{3} * \frac{8}{3}[/tex] which can be calculated by multiplying the numerators and denominators. This gives you [tex]\frac{8*8}{3*3} = \frac{64}{9}[/tex]. Now this just gives you the product but the question is asking you how many one thirds is the product. This is essentially saying how many 1/3 fit into the product or in other words what is the product divided by 1/3. This gives you the equation [tex]\frac{64}{9} \div \frac{1}{3}[/tex] which can be calculated by changing the sign to multiplication and flipping the second fraction (1/3 => 3/1) This gives you the equation [tex]\frac{64}{9} * \frac{3}{1} = \frac{64 * 3}{3 * 3} = \frac{64}{3}[/tex]. I rewrote the 9 as 3 * 3 in the equation so you can see that we can just cancel out the 3. Since if have a number and multiply it by "x" and divide by "x" you just have the original number. So now you have 64/3 which simplifies to [tex]21 \frac{1}{3}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2\dfrac{2}{3}\times 2 \dfrac{2}{3}}[/tex]

[tex]\mathsf{= \dfrac{2\times3+2}{3}\times\dfrac{2\times 3 + 2}{3}}}[/tex]

[tex]\mathsf{= \dfrac{6 + 2}{3}\times \dfrac{6 + 2}{3}}[/tex]

[tex]\mathsf{= \dfrac{8}{3}\times\dfrac{8}{3}}[/tex]

[tex]\mathsf{= \dfrac{8\times8}{3\times3}}[/tex]

[tex]\mathsf{= \dfrac{8 + 8 + 8 + 8 + 8 + 8 + 8 + 8}{3 + 3 + 3}}[/tex]

[tex]\mathsf{= \dfrac{16 + 16 + 16 + 16}{6 + 3}}[/tex]

[tex]\mathsf{= \dfrac{32 + 32}{9}}[/tex]

[tex]\mathsf{= \dfrac{64}{9}}[/tex]

[tex]\mathsf{= 7 \dfrac{1}{9}}[/tex]

[tex]\approx{\mathsf{21 \dfrac{1}{3}}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{21\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

If f(x) = x³ and g(x) = -2x³, then the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

Hence, the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

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Answer:

Answer:

4

Step-by-step explanation:

divide the numbers

subtract the numbers

final answer:
= 4