the wacky widget company can make 120 of their wackiest widgets in 90 minutes. How many hours will it take them to complete a special order of 450 wackiest widgets?

Answer:

25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex] \frac{15}{20} = \frac{x + 2}{12 - x} \\ \\ 180 - 15x = 20x + 40 \\ \\ 35x = 140 \\ \\ x = 4[/tex]

Por lo tanto el número es p/q = 8/64.

Fracción es un número que se puede representar en forma de p/q, donde q no es igual a cero.

It is given that

En su forma más simple, el número es 1/8

Sea el número p/q

p + q = 72 (dado)

p/q = 1/8

q = 8p

p+8p = 72

9p = 72

p = 8

q = 8p

q = 8 * 8 = 64

Por lo tanto el número es p/q = 8/64.

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The missing values represented by x and y are 8 and 20, that is

(x, y) = (8, 20)

The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight-line graph.

The ordered pairs simply mean for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row, for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.

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Answer:

Step-by-step explanation:

[tex]if A+B=45\\tan(A+B)=tan(45)\\\dfrac{tanA+tanB}{1-tanA.tanB}=1\\ \implies tanA+tanB=1-tanA.tanB\\\frac{1}{cotA}+\frac{1}{cotB}=1-\frac{1}{cotA}\frac{1}{cotB}, \{tanX=\dfrac{1}{cotX} \}\\ cotA+cotB=cotA.cotB-1\\cotA.cotB-cotA-cotB=1.[/tex]

A

this question did by quadratic formula means x = -b ± √b^ - 4ac / 2a by this formula first arrange the equation -5 x^ + 7 -2 and

a = -5

b = 7

C = -2

after that substitute in the formula

Answer:

Krutika

Step-by-step explanation:

Lets convert each person's typing rate to words/min.

Krutika:

80 minutes = 6000 words

1 minute = (6000/80) words

              = 75 words

Typing Rate: 75 words / min

Mark:

60 minutes = 4200 words

1 minute = (4200/60) words

              = 70 words

Typing Rate: 70 words / min

David:

90 minutes = 5850 words

1 minute = (5850/90) words

              = 65 words

Typing Rate: 65 words / min

From the above, we can see Krutika has the fastest rate of words per minute.

No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.

We can do the following study for conclusion:

Firstly the null hypothesis is

[tex]H_{0}: x=15.5[/tex]

The alternate hypothesis is

[tex]H_{1}: x < 15.5[/tex]

since the value is less than this is a one tailed test.

Z=x bar-x/d/[tex]\sqrt{n}[/tex]

where x is sample mean and d is standard deviation.

Z=15.4-15.5/1.7/[tex]\sqrt{90}[/tex]

=-0.1/1.7/9.4868

=-0.560

Critical value of Z at 0.1 level of significance

Z=-1.28

We fails to reject the null hypothesis since -0.560>-1,28

Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

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Question is incomplete. It should include:

mean of 15.5 minutes ,

standard deviation of 1.7 minutes,

sample size of 90

and sample mean of 15.4 minutes.

Step-by-step explanation:

sinA=sinA

sin2A

(sinA)2

Answer:

b=136, c=44, d=44

Step-by-step explanation:

B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44

The value of <RQZ has been calculated as 21 from the solution we have below.

We have

< PZQ= <PQZ

PQR - PRQ = 42

Let < PZQ = y⁰

PQZ = y⁰

Let PRQ = x⁰

< PQR = x + 42⁰

< QpZ + y + y = 180⁰

such that

QPZ + 2y = 180⁰

<QPZ = 180⁰ - 2y

<(QPZ + PQR + PRQ) = 180

Adding these equations, we would have

180 - 2y + x + 42 + x = 180⁰

180 would cancel out

We have

2x - 2y + 42 = 0

x- y +21 = 0

We have to add 21 to both sides of the equation

x- y + 42 = 21

(x + 42) - y = 21

(x + 42) = <PQR and y = < PQZ

Hence 21 = <RQZ

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The range of scores for 95% of the class is 63.8 to 86.6 using the empirical rule.

A statistical principle known as the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, holds that with a normal distribution, almost all observed data will lie within three standard deviations.

The empirical rule specifically states that 68 percent of data will fall inside the first standard deviation, 95 percent will fall within the first two standard deviations, and 99.7 percent will fall within the first three standard deviations.

According to the question,

μ=75.2  and σ=5.7

So, according to the empirical rule, the range of scores for 95% of the class:

μ – 2σ =75.2-2*5.7=63.8

and μ + 2σ=75.2+2*5.7=86.6

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Answer:

2 hours

Step-by-step explanation:

Because if the total round trip took 6 hours then it mustve taken him 2 hours to drive there at 70mph and 4 hours to drive back at 50mph.

The linear are said to be parallel.

Collinear points are the points that lie on the same straight line or in a single line.

Given:

slope= 3

If two non co-linear segments with a slope of 3 in a coordinate plane, which means that the two line segments are parallel to each.

So, the same slope symbolise the  concept of parallel line in same plane.

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The only wrong spot would be box 1 because the graph is not decreasing over the longest interval.

In the first graph, we see that the y-intercept which is the point where the curve crosses the y-axis is at y = -1. However, the interval for which it is decreasing is from x = -1 to x = 0.5.

For the second table, we see that the y-intercept is -1 and that as values of x keeps increasing, g(x) becomes more negative. Thus, it is decreasing on the longest interval.

For the third function which is;

h(x) = 3 + 4x³

The y-intercept is 3.

However, the higher the value of x, the greater the function.

Thus, the only wrong spot would be box 1 because the graph is not decreasing over the longest interval.

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Answer:

Step-by-step explanation:

The formula for circumference is 2(3.14)r

So, we divide 141.3 by 6.28 and get 22.5

The radius is 22.5 feet.

The value included in the solution to the given inequality is:

x = -5.

Everything to the left of the circle at x = -2 is shaded, that is, all values less than x = -2, hence the inequality is:

x < -2.

Researching the problem on the internet, the options for the values that belong to the solution are:

-5, -2, 0, 3.

Due to the open circle, -2 is not in the inequality, 0 and 3 are greater than -2, hence they are not in the inequality, then the value included in the solution to the given inequality is:

x = -5.

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Answer:

37

Step-by-step explanation:

Let's use the rule GEMDAS (Grouping, Exponents, Multiply, Divide, Add, Subtract) from left to right. Therefore, we will simplify the equation in the parentheses. [tex]2^{3} = 8. (1-8= -7)[/tex]. -(-7) creates a double negative, deeming the 7 positive, because when there is two negatives the number will turn into a positive. [tex]7^{2}[/tex] = 49, -3 x 4= -12. Therefore the final form of the equation will be 49 - 12 = 37.

Let me know if there are mistakes.

The time taken by the stone to fall in air is 7 seconds and the time taken in water is 5 seconds.

Speed is the distance covered by an object in a fixed period of time. It is measured in m/sec.

The average speed in air is 16m/sec.

The average speed in water is 33m/sec.

The total time taken is 12 seconds.

Total distance covered =  Total time taken * speed at which it covered the distance

Let the time taken to fall in air is t

So, the time taken in water will be 12-t

The total distance is equal to

127 = 16*t + 3(12-t)

127 = 16t + 36 - 3t

127 - 36 = 16t - 3t

91 = 13t

t = 91/13 = 7 seconds

12-t = 12-7 =5 seconds

Therefore, the time taken by the stone to fall in air is 7 seconds and the time taken in water is 5 seconds.

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Answer:

f(-3) =8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer

f(x) has the same meaning as y. So you could rewrite the question as "What value of x gives y a value of 8"

The graph tells you that x = - 3 when y = 8.

f(-3) = 8

[tex]x \geqslant - 3 \: \: \: \: \: \: x < 3[/tex]

Answer:

The answer is D intersection

Remember that AND indicates an intersection and OR indicates a union.

Step-by-step explanation:

Solve each inequality and then find the intersection.

Inequality Form: −3≤ x<3

Interval Notation:[−3,3)

[tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{x^2+12x+35}{3(x+5)}=\dfrac{x^2+5x+7x+35}{3(x+5)}=\dfrac{x(x+5)+7(x+5)}{3(x+5)}=\\=\dfrac{(x+5)(x+7)}{3(x+5)}=\dfrac{x+7}{3}[/tex]

Answer:

(x+7) / 3

Step-by-step explanation:

Factorise the Top half to give  :

x² + 12x+ 35 = (x+5)(x+7)

Factorise the bottom half to give :  

3(x+5)

Cancel (x+5) from top and bottom to give :

(x+7) / 3

So our final answer is Option 3

Hope this helped and have a good day

Answer:

B. Yes, she used systematic random sampling

Explanation :

Systematic random sampling is method of sampling use in term of finding the the percent of a given population to find the final sample.

Answer:

x = -4.5

Step-by-step explanation:

Solving the equation :

[tex]\left\vert -4+\frac{5}{2} \right\vert -\left( -x\right) =-3[/tex]

[tex]\Longleftrightarrow \left\vert \frac{-8}{2} +\frac{5}{2} \right\vert +x =-3[/tex]

[tex]\Longleftrightarrow \left\vert \frac{-8+5}{2} \right\vert +x =-3[/tex]

[tex]\Longleftrightarrow \left\vert \frac{-3}{2} \right\vert +x =-3[/tex]

[tex]\Longleftrightarrow \frac{3}{2} +x =-3[/tex]

[tex]\Longleftrightarrow x =-3-\frac{3}{2}[/tex]

[tex]\Longleftrightarrow x =-\frac{6}{2} -\frac{3}{2}[/tex]

[tex]\Longleftrightarrow x = -(\frac{6}{2} +\frac{3}{2} )[/tex]

[tex]\Longleftrightarrow x =-\frac{9}{2}[/tex]

[tex]\Longleftrightarrow x =-4.5[/tex]

Answer:

70°

Step-by-step explanation:

Due to the fact that the angle is on a straight line, therefore the angle(110°) is equal the inside/opposite to the angle(q°):

q°=180°(since it's on a straight line) -110°

q°= 70°

The proportion that could be used to find the value of x is 3/x= x/11

The complete question is added as an attachment

From the attachment, the common side length between both right triangles is x

While the other sides are adjacent sides.

This means that the proportion is:

3/x= x/11

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Hello,

x⁴ + 12x³ - 64x² = 0

x²(x² + 12x - 64) = 0

x² = 0 or x² + 12x - 64 = 0

x = 0

∆ = b² - 4ac = 12² - 4 × 1 × (-64) = 400

x1 = (-b -√∆)/2a = (-12 - 20)/2 = -32/2 = -16

x2 = (-b + √∆)/2a = (-12 + 20)/2 = 8/2 = 4

S = {-16 ; 0 ; 4 }

→ factorizacion de x⁴ + 12x³ - 64x² : x(x - 4)(x + 16)

The solutions to this triangle are:

Using the law of cosine we would have

a²=b²+c²-2bc cos A

a² =100+49-2(10)(7)cos 52

This would give us

=149 -140 x (0.6157)

=62.82

We take the square root of 62.82 =

7.93 or 7.9

We have to use the sine law to find the other side

7.9/sin 52=10.057

10.06=7/sin C

such that

sin C = sin(0.6958)

=44.1°

10.06=10/sin B

cross multiply

sin B=10/10.06

= sin⁻¹0.9940

Then B = 83.7°

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Answer:

0.1?

58

146,000?

22600

Step-by-step explanation:

So I assume first is 1st decimal place, so that would be the first after the decimal and then the number after has to be 5 or above, which it is. So then its just 0.1

This is easy, look at the decimal, its below .5, so 58.

Same thing for the rest, just look at the digit before.