Solve the equation 5q^2 + 18q = 35

Answer:

70= 87.5% 80

Step-by-step explanation:

p= 70/80x100%=87.5%, so

70=87.5% 80

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

The probability of making the wrong decision is approximately 0.0082.

According to the central limit theorem, the distribution of the sample mean of a large number of independent and identically distributed random variables approaches a normal distribution. In this case, the random variable is the number of odd outcomes in 100 rounds of the roulette.

As each outcome has an equal probability of being odd, the distribution of the number of odd outcomes is binomial with parameters n=100 and p=1/2.

Using the mean and variance of a binomial distribution, we have:

mean = np = 100 x 1/2 = 50

variance = np(1-p) = 100 x 1/2 x (1 - 1/2) = 25

The standard deviation of the distribution is the square root of the variance, which is 5. Therefore, the z-score for a count of 55 is:

z = (55 - 50) / 5 = 1

Using a standard normal distribution table or calculator, we find that the probability of a z-score greater than 1 (i.e., a count of 55 or more) is approximately 0.1587. However, we are interested in the probability of making the wrong decision, which is the probability of a count of 55 or more given that the roulette is fair.

This probability is equal to the significance level of the test, which is the probability of rejecting the null hypothesis (fair roulette) when it is actually true.

Assuming a significance level of 0.05, the probability of making a Type I error (rejecting a true null hypothesis) is 0.05. Therefore, the probability of making the wrong decision is approximately 0.05 x 0.1587 = 0.0082.

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Answer:

450 units squared

Step-by-step explanation:

2(length)+2(width)=Perimeter

W=x     Length=15+3w   Perimeter=110

2(15+3w)+2w=110

30+6w+2w=110  

8w=80

w=10

So:  Length is 45 and Width is 10

Area is l*w

Area=45*10

Area is 450 units squared

1.746 is the critical t value that corresponds to 90% confidence.

To find the critical t-value that corresponds to 90% confidence with 16 degrees of freedom, follow these steps:
1. Determine the desired confidence level: 90%
2. Calculate the corresponding significance level (alpha) by subtracting the confidence level from 100%: 100% - 90% = 10%
3. Divide the significance level by 2 to get the value for a two-tailed test: 10% / 2 = 5%
4. Look up the critical t-value in a t-distribution table using the degrees of freedom (16) and the 5% value.

From the t-distribution table, the critical t-value for 16 degrees of freedom and 90% confidence is approximately 1.746.

So, the CRITICAL T VALUE that corresponds to a 90% CONFIDENCE level with 16 DEGREES FREEDOM is 1.746, rounded to three decimal places.

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Approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

The velocity function for a sky diver falling near the Earth's surface is given by the exponential function \(v(t) = 71 - 71e^(-0.19t)\), where t represents the time after diving measured in seconds.

To find the number of seconds after diving when the sky diver's velocity is 59 meters per second, we need to solve the equation:

\(59 = 71 - 71e^{(-0.19t)}\)

Let's solve it step by step:

Subtracting 71 from both sides:

\(-12 = -71e^{(-0.19t)}\)

Dividing both sides by -71:

\(e^{(-0.19t)} = \frac{12}{71}\)

Taking the natural logarithm (ln) of both sides to eliminate the exponential:

\(ln(e^{(-0.19t)}) = ln(\frac{12}{71})\\-0.19t = ln(\frac{12}{71})\)

Now, we can solve for t by dividing both sides by -0.19:

\(t =\frac{ln(\frac{12}{71})}{-0.19}\)

Using a calculator or a software, we find:

t ≈ 9.356 seconds (rounded to three decimal places)

Therefore, approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

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Step-by-step explanation:

-√81=-√(9)²=-9

A number inside a Square root cannot ne negative. So, the second one is not a real no.

Answer:

\( - \sqrt{81} = - 9 \\ \sqrt{ - 25 = - 5} \)

Step-by-step explanation:

-81/9 9+9+9+9+9+9+9+9+9(81)

-9

-25/5 (5+5+5+5+5(25)

-5

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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The sketch of the function y = \(x^{2}\) - x - 3 for -3 <= x <= 3 reveals a parabolic curve that opens upwards. The turning point of the parabola, also known as the vertex, can be identified as (-0.5, -3.25).

To sketch the graph of y = \(x^{2}\) - x - 3, we consider the given domain of -3 <= x <= 3. The function represents a parabola that opens upwards. By calculating the coordinates of the turning point, we can locate the vertex of the parabola.

To find the x-coordinate of the turning point, we use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = 1 and b = -1. Substituting these values, we have x = -(-1)/2(1) = -0.5.

To find the y-coordinate of the turning point, we substitute the x-coordinate (-0.5) into the equation y = \(x^{2}\) - x - 3. Evaluating this expression, we get y = \(-0.5^{2}\) - (-0.5) - 3 = -3.25.

Therefore, the turning point of the parabola is approximately (-0.5, -3.25).

From the sketch, we can estimate the approximate solutions to the equation \(x^{2}\)- x - 3 = 0 by identifying the x-values where the graph intersects the x-axis. These solutions are approximately x ≈ -2.5 and x ≈ 1.5.

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The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is  52!/(47! * 5!).

The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52 choose 5, which is equal to 52!/(47! * 5!), where the exclamation point indicates the factorial function. This is known as the binomial coefficient, and it represents the number of ways to choose a certain number of items from a larger set. In this case, the binomial coefficient is used to find the number of ways to choose 5 cards from a deck of 52 cards.

The order of the cards is irrelevant in card games like poker. A five-card draw of 1,2,7,9, K is equivalent to a draw of K,7,9,1,2. What counts is the fundamental overall group.

Order is irrelevant, therefore we utilize a combination (instead of a permutation)

We will substitute n = 52 and r = 5 into the nCr combination formula, which is n C r = (n!)/(r!*(n-r)!)

so we obtain:

n C r = r!*(n-r)!/(n!)

52 C 5 = (52!)/(5!*(52-5)!)

52 C 5 = (52!)/((52-5)!*5!)

The complete question is:-

Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?

a) (52-5)! / 52!5!

b) 52! / (52-5)!

c) 52! / (52-5)!5!

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Answer:

Step-by-step explanation:

What we have as information:

6 apples

1 apple = 8 ounce

She pays 3.74 for each pound

Since we know that 1 pound is 16 ounces, that means that 1 apple is half a pound or we could say that 2 apples is 1 pound.

2+2+2 = 6 apples

(since 2 apples is one pound and there are 3 groups of 2,we can say that she bought 3 pounds)

3 times 3.74 = 11.22

She pays 11$ and 22cents.

Answer:

Strong association between X and Y.

Step-by-step explanation:

I got the question right on the Algebra Nation

Answer:

12.7ft

Step-by-step explanation:

this involves the Pythagoras theorem: base²  x height²  = hypotenuse²

b²  x h²  = hyp²

6²  x h²  = 14²

36 x h²  = 196

h²  = 196 - 36

h²  = 160

h = square root of 160

h = 12.65 - to the nearest tenth

 = 12.7ft

Answer:

12.7

Step-by-step explanation:

got it right with that answer on edge

The probability that a woman was wearing a belt given that she was also carrying a purse is 0.333 or 33.3%.

To find the probability that a woman was wearing a belt given that she was also carrying a purse, we need to use conditional probability.

We know that out of the 30 women observed, 18 were carrying purses and 6 were both carrying purses and wearing belts.

This means that the number of women carrying purses who were also wearing belts is 6.
Therefore, the probability that a woman was wearing a belt given that she was also carrying a purse is:
P(wearing a belt | carrying a purse) = number of women wearing a belt and carrying a purse / number of women carrying a purse
P(wearing a belt | carrying a purse) = 6 / 18
P(wearing a belt | carrying a purse) = 0.333
Given the information provided, we can determine the probability of a woman wearing a belt, given that she is also carrying a purse.

First, we need to find the number of women carrying a purse and wearing a belt, which is 6. There are 18 women carrying purses in total.
So, to find the probability, we will use the formula:
P(Belt | Purse) = (Number of women wearing belts and carrying purses) / (Number of women carrying purses)
P(Belt | Purse) = 6 / 18
P(Belt | Purse) = 1/3 or approximately 0.33
Therefore, the probability that a woman was wearing a belt, given that she was also carrying a purse, is 1/3 or approximately 0.33.

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Answer:

m=2

Step-by-step explanation:

math is hard

Answer:

2

Step-by-step explanation:

The equation for finding slope is:

\(\frac{y_{2} - y_{1}}{x_{2}-x_{1}}\)

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

Answer:

When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.

The target costing process is a cost management technique used to determine the maximum cost that a company can incur while still earning a desired profit margin. It involves setting a target cost for a product or service and then working backwards to identify the cost of materials, labor, and overhead that will enable the company to achieve that target.

While finding a low-cost supplier is certainly one way to reduce the overall cost of production, it is not necessarily the starting point of the target costing process. Before selecting a supplier, a company must first understand its customers' needs and preferences, identify the features and benefits that will add value to the product or service, and determine the price that customers are willing to pay.

Once these factors are established, the company can then analyze the cost structure of the product or service and identify areas where costs can be reduced without sacrificing quality or customer satisfaction. This may involve exploring alternative materials or production methods, streamlining processes, or outsourcing certain tasks to lower-cost providers.

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The number of bacteria in the colony after 16 hours = 992

The bacteria doubles every 4 hours and we are considering 16 hours

The number of times that the bacteria doubles is 16/4 = 4 times

Note that there is a first term and four other terms when the bacteria were doubled

There are 5 terms in total

Number of terms, n = 5

The initial amount of bacteria, a = 32

The bacteria doubles every 4 hours

That is, the common ratio, r = 2

Since there is a common ratio, this is a geometric progression.

The sum of n terms of a geometric progression is given as:

Substitute a = 32, r = 2, and n = 5 into the formula above to get the number of bacteria in the colony after 16 hours

The number of bacteria = 992

Answer:

Step-by-step explanation:

As marked,

In triangle WKQ. In triangle MQK

WK. = MQ. (Given)

WQ. = MK. (Given)

KQ. = KQ. (Common side)

Hence,

As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.

Answer:

i think 5 is the answer

Step-by-step explanation:

mmmm

Answer:

Subtract 3

Step-by-step explanation:

I had this question on my test and it was right.:)

Answer:

48

Step-by-step explanation:

Answer: the answer is B: f(x) = –2(x – 5)(x – 1)

Step-by-step explanation: i took the test

Answer:ITS A

Step-by-step explanation:

cuz I got it wrong and it showed me the right answer

Answer:

Step-by-step explanation:

The pentagon has been split into 5 congruent triangles.

Each triangle has area of:

The area of the room is:

The dimensions of the poster with the smallest area are = 64cm X 56cm where Width of the poster is 64 and Height of the poster is 56.

In order to establish a condition equation that represents the printed area's width (w) in terms of its height (h), we must first use what we know about the printed area.

Ap(w,h)=wh                   [Printed area]

Ap(w,h)=wh                  [ Substitute Ap(w,h)=1536]

1536=wh

w=1536h                      [width  ''w''  in terms of height ''h'' ]

The smallest surface area must be determined. We need to find out the area as a function of the variable h using the condition equation.

W=w+16                                              [ Width  of the rectangular poster ]

H=h+24                                                 [ Height  of the rectangular poster ]

Ar(w,h)=(w+16)(h+24)                        [Area of the rectangular poster ]

Ar(w,h)=(w+16)(h+24)

Put the value of W in terms of ‘h’ that we got above.

Ar(w)=(1536h+16)(h+24)

Ar(w)=36864h+16h+1920

Ar(w)=36864/w+16w+1920           (objective function)

Determine the domain of objective function

D={w∈R:w>0}                           [Domain of the Objective area function]

Ar(w)=36864/w+16w+1920

A′r(w)=−36864w2+16              [First derivative of the Objective area function]

A′r(w)=0                                     [critical point condition]

−36864/w2+16=0

16=36864/w2

w2=36864/16

w2=2304

w=±48

w=−48                       [w=−48∉D]

w=48                         [w=48∈D]

w=48                        [Critical point of the Objective area function ]

Applying sufficient condition for extremes (Second derivative test)

A′r(w)=−36864/w2+16

A′′r(w)=73728/w3[Second derivative of the Objective area function]

A′′r(48)=0.6                     [A′′r(48)>0]

w=48                                [Minimum point of the Objective area function ]

Calculate the dimensions of the rectangular poster with minimum area

w=48 Width of the print area

h=1536/48=32           (Height of the print area)

W=48+16=64             (Width of the rectangular poster)

H=32+24=56             (Height of the rectangular poster)

The dimensions of the poster with the smallest area are: ⟹64cm×56cm

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Answer:

-5y-4=-(x+3)2-1/(2)

Step-by-step explanation:

ANSWER: It's D

Have a great day!!!

Answer: D:120

Step-by-step explanation: since the angle goes from

180/360 to 300/360 we will have to do 300-180 which gives us 120

The slope of the line passing through the points A(1,0) and B(3,11) is 5.5 as a decimal.

The slope of a line is a measure of how steep the line is and describes the rate at which the line is rising or falling.

It is defined as the change in the y-coordinate (rise) divided by the change in the x-coordinate (run) between two points on the line.

The formula for slope is:

slope = (changes in y)/(change in x).

It is typically denoted by the letter "m".

The slope of the line passing through points A(1,0) and B(3,11) is:

Rise / Run = (Y-Coordinate Change) / (X-Coordinate Change).

= (11-0) / (3-1)

= 11/2

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