Solve the following equation below.

Answer:

The missing number is 8

Step-by-step explanation:

\(10,360 \div 37 \div 35 = 8\)

Null hypothesis: The percentage of stocks traded on the NYSE that went up on January 31, 2006, is not 30%.

Alternative hypothesis: The percentage of stocks traded on the NYSE that went up on January 31, 2006, is 30%.
To test the financial analyst's claim that 30% of the stocks traded on the NYSE went up on the same day, we can formulate the null and alternative hypotheses using the information about the DJIA stock market performance. Here are the hypotheses:
Null Hypothesis (H0): The proportion of stocks that increased in price on the NYSE is 30% (p = 0.30).
Alternative Hypothesis (H1): The proportion of stocks that increased in price on the NYSE is not 30% (p ≠ 0.30).
These hypotheses will help determine whether the analyst's claim about the overall stock market performance is accurate or not.

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Answer:

\(x^3+3x^2-6x-8\)

Step-by-step explanation:

Unfortunately due to your very vague "question", I do not know for sure if -1, -4, and 2 are X values. But assuming they are...

Just like with quadratics, you can foil to easily identify the X value. But this time we are reversing it, and instead of 2 now we have 3.

To set up your polynomial, it should look something like this:

\((x+1)(x+4)(x-2)\)

Now you can FOIL it if it requires you, which I have done for you.

\(x^3+3x^2-6x-8\)

Answer:

4 batches: \(2\frac{2}{3}\) cups

7 batches: \(4\frac{2}{3}\) cups

Step-by-step explanation:

If he uses 2/3 cup of flour for each batch, then that is 2/3 four times, or 2/3 · 4.

\(\frac{2}{3}\) × \(\frac{4}{1}\)

= \(\frac{8}{3}\)  = \(2\frac{2}{3}\)

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to \(2\frac{2}{3}\).

\(\frac{2}{3}\) × \(\frac{3}{1}\)

= \(\frac{6}{3}\)  = 2

\(2\frac{2}{3} +2\)  = \(4\frac{2}{3}\)

Thus, \(2\frac{2}{3}\) and \(4\frac{2}{3}\) are the answers.

hope this helps!

Answer:

X>30

Step-by-step explanation:

you add 9 to both sides to get X by itself, then add 9+21 and get 30. That’s the answer

Answer:

$200

Step-by-step explanation:

70 x 2 = 140.00 + 60.00 = $200

Answer:

140$

Step-by-step explanation:

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Because if we take two obtuse triangles, then their sum will exceed 180°. We know, sum of all angles of a triangle is 180° and so a triangle couldn't be formed.

Answer:

Option B

Step-by-step explanation:

By the midsegment theorem,

"Midsegment of a trapezoid is half the sum of the parallel bases"

By this theorem,

y + 6 = \(\frac{1}{2}[(3y-7)+(y+3)]\)

2(y + 6) = (3y + y) +(-7 + 3)

2y + 12 = 4y - 4

2y - 4y = -12 - 4

-2y = -16

2y = 16

y = 8

Therefore, length of the midsegment = y + 6

                                                              = 8 + 6

                                                              = 14

Option B will be the answer.

Without knowing the initial population (P0) and the growth rate (r), we cannot provide an interpretation for the population size of 4100.

It seems like some parts of the question are missing, so I'll assume the question is: "A population grows at a rate of r, where P(t) is the population after t months. a) Find a formula for the population size after t months, given that the initial population is P0. Select the correct interpretation of the population size of 4100."

Regarding the interpretation of a population size of 4100, some possible options are:
- It is the actual number of individuals in the population.
- It is an estimate of the population size based on some method (e.g., sampling, census).
- It is a desirable or undesirable population size depending on the context (e.g., for conservation, or urban planning).
- It is a change from a previous population size that may be positive, negative, or neutral.
To solve this problem, we'll use the exponential growth formula:

P(t) = P0 * (1 + r)^t

Here, P(t) represents the population size after t months, P0 is the initial population size, r is the growth rate, and t is the number of months.

To interpret the population size of 4100, you can plug 4100 into the formula as P(t) and solve for t. Without knowing the initial population (P0) and the growth rate (r), we cannot provide an interpretation for the population size of 4100.

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In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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No, if less than two of the rolls produce snake eyes, the player shouldn't be startled. Out of 80 rolls, there is a 97.78% probability of receiving fewer than two snake eyes, making this scenario highly probable.

P(X < 2) = 1 - P(X = 2) = 1 - 0.27089 = 0.97711

No, if less than two of the rolls produce snake eyes, the player shouldn't be startled. There is a 1/36 chance of receiving "snake eyes" on any roll. Accordingly, the likelihood of receiving two snake eyes out of 80 rolls is only 0.27089, or roughly 27%. The likelihood of receiving fewer than two snake eyes, on the other hand, is 0.97711, or roughly 97.78%, out of 80 rolls. As a result, statistically speaking, it is more likely that less than 2 of the rolls will produce snake eyes. The player shouldn't be shocked if less than two of the dice produce snake eyes.

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Answer:

In a rhombus, all sides are equal. Therefore, you can set WV (s+12) and UV (3s) equal to each other.

s+12 = 3s

Subtract s from both sides, so the variables are all on one side.

12 = 2s

Divide both sides by 2 to isolate the variable.

6 = s

UV = 3s

UV = 3(6)

UV = 18

The formulae that specify how much 8% solution in equation and how much 24% solution were utilized are x+ y=200 and x+3y=450.

A mathematical equation is a formula that uses the equals symbol (=) to link two expressions and represent their equivalence. A mathematical statement that demonstrates the equality of two mathematical expressions is an equation in algebra, in its most basic form. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Let x and y be the volume of the 8% and 24% solutions, respectively, that were utilized.

The entire solution volume, as stated in the question, will be 200ml. The resulting equation is: x +y=200

Now that it has been stated that 8%, 18%, and 24% saline mixes would be employed as the solution, the following equation will be:

\(0.08x+ 0.24y=0.18*200\\8x/100+24/100=18/100*200\\8x+24y=3600\\\\8(x+3y)=3600\\ x+3y=450\\\)

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On solving the provided question, we can say that For the specified percentage, the 95% confidence interval is (0.864, 0.3580).

A confidence interval in statistics expresses the probability that a population parameter would fall between a set of values for a specific percentage of the time. Analysts commonly utilize 95% or 99% confidence intervals for their predictions.

If total samples = E = 36, then

8 results were obtained.

Chance = p = 8/36 = 0.2222

Z value at 95% confidence level = 1.96

p = \(0.2222 + 1.96 ( \sqrt{ 0.2222() 1 - 0.2222) / 36 } ) = 0.3580\)

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(a) Point estimate (mean difference): 2.2 tomatoes. (b) The standard deviation of differences: Approximately 3.47. (c) The test statistic: Approximately 1.38.

To perform a t-test for the population mean difference, follow these steps:

(a) Calculate the point estimate (mean difference): The point estimate is the mean difference between the yields of fertilizer A and fertilizer B.

Mean difference = (Sum of differences) / Number of pairs

Using the given data gives:

Mean difference = ((7-4) + (6-7) + (5-6) + (8-5) + (10-3)) / 5

Subtracting gives:

Mean difference = (3 - 1 - 1 + 3 + 7) / 5

Solving gives:

Mean difference = 11 / 5

Dividing gives:

Mean difference = 2.2

(b) Calculate the standard deviation of the differences:

To calculate the standard deviation of the differences, we need to calculate the squared differences, find their sum, divide by (n-1), and then take the square root.

Squared differences:\((3 - 2.2)^2, (-1 - 2.2)^2, (-1 - 2.2)^2, (3 - 2.2)^2, (7 - 2.2)^2\)

Solving gives:

Sum of squared differences = (0.64 + 12.96 + 12.96 + 0.64 + 21.16)

Solving gives:

The sum of squared differences = 48.36

The standard deviation of the differences \(= \sqrt{48.36 / 4}\)

Solving gives:

The standard deviation of the differences \(= \sqrt{2.09}\)

Rounded to three decimal places

The standard deviation of the differences ≈ 3.47

c) Calculate the test statistic:

The test statistic (t) = (Point estimate - Null hypothesis value) / (Standard deviation /√(sample size))

Let's assume the null hypothesis is that there is no difference between the two fertilizers

(i.e., mean difference = 0).

\(t = (2.2 - 0) / (3.47 / \sqrt5)\)

Substituting \(\sqrt 5 = 2.236\)

t = 2.2 / (3.47 / 2.236)

Rounded to two decimal places

t ≈ 1.378

So, the test statistic is approximately 1.378.

The gardener can compare this test statistic to critical values from the t-distribution to determine whether the difference between the two fertilizers is statistically significant at a certain significance level. If the calculated test statistic is greater than the critical value, she ma

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​

Answer:

The height from ground, at which Jeb needs to hit the ball is 7.8 meters

Step-by-step explanation:

The given parameters are;

The distance away the tennis ball is hit = 20 meters;

The height of the tennis net = 0.3 m

The distance from the net the ball lands = 4 meters

The time the ball takes to land from the 0.3 m net height is given as follows;

t = √(h/(1/2×g)) = √(0.3/(1/2 × 9.8)) ≈ 0.2474

t ≈ 0.2474 seconds

The speed of the ball = Distance/Time = 4/0.2474 ≈ 16.166

The speed of the ball ≈ 16.166 m/s

The time it takes the ball to reach the net = 20/16.166 ≈ 1.24

The time it takes the ball to reach the net, tₓ ≈ 1.24 seconds

The height, hₓ the ball falls in 1.24 seconds is given as follows;

hₓ = 1/2·g·tₓ² = 1/2 × 9.8 × 1.24² = 7.5

The height, hₓ the ball falls in 1.24 seconds = 7.5 m

The height the ball falls in the time taken to reach the net from 20 meters = The height, hₓ the ball falls in 1.24 seconds

Therefore, the height at which Jeb needs to hit the ball = The height the ball falls in the time taken to reach the net from 20 meters + The height of the net = 7.5 m + 0.3 m = 7.8 m

The height at which Jeb needs to hit the ball = 7.8 m

Answer:

5y=7

y=7/5

Step-by-step explanation:

6x+6y=-6

6x+y=-3

eliminate the 6x

then subtract y from 6y

then subtract -3 from -6

6y-y=5y

-6-(-13)=7

5y=7

divide 5 from both sides

y=7/5

then you eliminate the y and do the same thing :)

x=-12/5

Answer:

(x,y)=(-12/5,7/5)

Step-by-step explanation:

6x+6y=-6

6x+y=-13 First, subtract 1 from 2

6x-6x+6y-y=-6--13

5y=7 Divide by 5

5y/5=7/5

y=7/5

y=1.2

6x+6(7/5)=-6

6x+42/5=-6 subtract 42/5

6x=-14 2/5

6x=-14.4 divide by 6

x=-2.4

x=-2 2/5

x=-12/5

(x,y)=(-12/5,7/5)

Hope this helps plz hit the crown :D

The expression approximating the CDF P(Y ≤ x) in terms of µ, σ^2, and n is Φ((x - µ)/(σ/√n)), where Φ is the standard normal CDF.

The Central Limit Theorem (CLT) states that for a random sample of size n with a large enough sample size, the sample mean (Y) will be approximately normally distributed with mean µ and variance σ^2/n.

Using this information, we can approximate the cumulative distribution function (CDF) P(Y ≤ x) by transforming it into the standard normal CDF:

P(Y≤ x) ≈ P((Y - µ)/(σ/√n) ≤ (x - µ)/(σ/√n))

Let Z denote the standard normal random variable with mean 0 and variance 1. By standardizing the expression above, we can rewrite it as:

P(Y ≤ x) ≈ P(Z ≤ (x - µ)/(σ/√n))

Finally, we can use the standard normal CDF, denoted as Φ, to approximate the CDF:

P(Y ≤ x) ≈ Φ((x - µ)/(σ/√n))

Therefore, the expression approximating the CDF P(Y ≤ x) in terms of µ, σ^2, and n is Φ((x - µ)/(σ/√n)), where Φ is the standard normal CDF.

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Answer:

$0.90

Step-by-step explanation:

15 x 0.06 = 0.9

You paid tax $0.9 for an umbrella.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

You buy an umbrella for $15 with the tax rate of 6%.

The taxed amount = 15 x 6 / 100

= 90/100

= $0.9

Therefore, the tax amount is $0.9.

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Answer: The surface area of the planter will be 120.5 square feet.

Step-by-step explanation:  in our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.

The base will be 7 x 5 = 35 square feet.

The front and back side will each be 7 x 0.75 = 5.25 square feet.

The left and right side will each be 5 x 0.75 = 3.75 square feet.

If we add up the 5 faces we get:

35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet

Answer:

15 Packages

Step-by-step explanation:

Let number of packages = x

For Nic

Nic sells advertising packages for a radio station. The company pays him $ 150 per week and they also pay him $ 75 for every package he sells.

Equation =

150 + 75x

His friend Asia works for the same radio station but she receives a salary only, which is $ 1 , 275per week.

We solve by equating

150 + 75x = 1275

75x = 1275 - 150

75x = 1125

x = 1125/75

x = 15 Packages

Answer:

geometric with r = 2

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms

6 - 3 = 3

12 - 6 = 6

24 - 12 = 12

48 - 24 = 24

96 - 48 = 48

As we see the differences are not common, so not arithmetic

A geometric sequence has a common ratio between consecutive terms.

6 ÷ 3 = 2

12 ÷ 6 = 2

24 ÷ 12 = 2

48 ÷ 24 = 2

96 ÷ 48 = 2

There is a common ratio of 2, so sequence is geometric

with 5th term = 48

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.

Here,

Every subsequent line, beginning with one, contains two less characters than the one before it.

This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.

This implies that you will receive 4 marbles for the following line.

As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.

(4) = ten marbles.

10×2=20

20-2=18

(5) line = (18)

18×2=36

36-2=34

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

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Based on the information provided, it can be concluded that the value for x is 7 cm and the value for y is 10 cm.

In the first triangular prism, it can be observed that the width is 8 cm, while in the second triangular prism, it can be observed the width is 4 cm. Based on this, it can be concluded the second triangular prim has half of the size of the first triangular prism. Now, let's calculate the new values:

x = 14 cm / 2 = 7 cm

y= 20 cm / 2 = 10 cm

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Wilbur's flight took about 43.7 seconds.

Let x be the rate of Orville in feet per second and 2x be the rate of Wilbur in feet per second. Let t be the time it took for Orville to complete the flight and t - 6 be the time it took for Wilbur to complete the flight.

We know that the distance traveled by both brothers is the same, which we can express with the equation:

distance = rate × time

For Orville:

distance = x * t

For Wilbur:

distance = 2x * (t - 6)

Since the distance is the same for both brothers, we can set the two equations equal to each other:

x * t = 2x * (t - 6)

Expanding and simplifying the right-hand side:

xt = 2xt - 12x

12x = xt

x = t/12

So, Orville's rate is x = t/12 feet per second.

Substituting this into one of the equations for distance, we can solve for t:

distance = x * t

852 = (t/12) * t

852 = t² / 12

t² = 12 * 852

t² = 10224

t ≈ 101.1 seconds (rounded to the nearest tenth)

So, Orville's flight took about 101.1 seconds.

Now we can use the equation for Wilbur's distance to find his rate:

distance = 2x * (t - 6)

852 = 2(2x) * (101.1 - 6)

852 = 4x * 95.1

x ≈ 5.64 feet per second (rounded to the nearest hundredth)

So, Orville's rate is about 5.64 feet per second, and Wilbur's rate is twice that or about 11.28 feet per second.

To find Wilbur's time, we can use the equation for distance again:

distance = 2x * (t - 6)

852 = 2(11.28) * (t - 6)

852 = 22.56t - 135.36

22.56t = 987.36

t ≈ 43.7 seconds (rounded to the nearest tenth)

So, Wilbur's flight took about 43.7 seconds.

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Answer:

17 is a Trapezoid, 18 is the last answer

On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.

In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve

Step-by-step explanation:

y-15=x^2+10x

y-15+25=x^2+10x+25

y+10=(x+5)^2

Answer:

It is only C

Step-by-step explanation:

The only answer for this is C

The correct option is option C i.e. "If the ratio of the arc length to r is 1, then the measure of θ is 1 radians".

The arc length is defined as the interspace between the two points along a section of a curve.

Here,  we know that,

angle = arc length / radius    ............(i)

If  arc length / radius = 1   ............(ii)

then from eq. (i) and (ii), we get

angle = 1

θ = 1

Thus, The correct option is option C i.e. "If the ratio of the arc length to r is 1, then the measure of θ is 1 radians".

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