The line graph shows the amount of snowfall over a 6 hour period.
Between which hours did the least amount of snow fall?
Total Amount of Snow
1411

12
10
Amount of snow (in inches)
Hours
1
2
3
4
5
6
The least amount of snow fell between hours
and

Answer:

B.16

Step-by-step explanation:

4x4=16

Answer:

Solve for y

Solve for x

Write in Standard Form

Graph

Write in y=mx+b Form

Evaluate

Find the x and y Intercepts

Find the Slope and y-intercept

The linear equation that represent this situation is y = 1.4x + 14.25 and y = 3.25x + 8.50

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the subscription for a month for watching x online movies.

For movie Madness:

y = 1.4x + 14.25

For show must go:

y = 3.25x + 8.50

The linear equation that represent this situation is y = 1.4x + 14.25 and y = 3.25x + 8.50

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Answer:

A is -4, 6

Y is 4, 5

B is 7, -1

D is -8, -1

Answer:

14, or f(-3)= 14

Step-by-step explanation:

Input the -3, so you will get f(-3)= -1/3(-3) + 13.
Do -1/3 x -3, which will get you 1.
Do 1 + 13, which will get you 14.
So, the answer will be 14, or f(-3)= 14.

Answer:

Step-by-step explanation:

Igneous

Sedimentary

Metamorphic

Hope that helps!

The data set which consists of 900 values that follow a standard normal distribution with a mean of 90 and a standard deviation of 8 has 480 values that lie between 86 and 98.

We need to determine how many values in the data set lie between 86 and 98. The formula for calculating the Z-score is as follows: Z = (X - μ) / σwhereX = the value of interestμ = the meanσ = the standard deviation

Using this formula, we can find the Z-scores for the lower and upper bounds of the range as follows:Z lower = (86 - 90) / 8 = -0.5Z upper = (98 - 90) / 8 = 1.0We can then look up these Z-scores in the standard normal distribution table to find the corresponding probabilities.

Using the table, the probability of a Z-score being less than -0.5 is 0.3085, and the probability of a Z-score being less than 1.0 is 0.8413. Therefore, the probability of a Z-score being between -0.5 and 1.0 is:0.8413 - 0.3085 = 0.5328

Finally, we can convert this probability to the number of values in the data set that lie between 86 and 98 by multiplying it by the total number of values in the data set:900 x 0.5328 = 479.52 values

Therefore, there are approximately 480 values in the data set that lie between 86 and 98.

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The position of point A of the triangle is -4 units from the x-axis.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

Here in the given diagram, there is a triangle ABC. The coordinates of the vertex of the triangle are,

A ( -4,2 )

B ( 1, -5 )

C ( 3,1 )

The distance of point A from the x-axis is -4 units.

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Answer:

Solution,

\(5 \frac{3}{4} \div 1 \frac{1}{2} \)

Convert the mixed number to an improper fraction

\( \frac{23}{4} \div \frac{3}{2} \)

To divide by a fraction, multiply by the reciprocal of that fraction

\( \frac{23}{4} \times \frac{2}{3} \)

Reduce the numbers with the GCF 2

\( \frac{23}{2} \times \frac{1}{3} \)

Multiply the fraction

\( \frac{23}{6} \)

Hope this helps...

Good luck on your assignment...

Answer:

x=5

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

Step-by-step explanation:

To find a power series solution for the ODE about x = 0 in the form of y = ΣCₙxⁿ, we substitute the power series into the ODE, equate coefficients, and solve the resulting recurrence relation.

To find the power series solution for the ODE -Cₙxⁿ (x² - 4)y" + 3xy' + y = 0 about x = 0, we assume a power series solution of the form y = ΣCₙxⁿ.

1. Differentiating y twice, we have y' = ΣnCₙxⁿ⁻¹ and y" = Σn(n-1)Cₙxⁿ⁻².

2. Substituting these expressions into the ODE, we get the following equation:

-ΣCₙxⁿ(x² - 4)Σn(n-1)Cₙxⁿ⁻² + 3xΣnCₙxⁿ⁻¹ + ΣCₙxⁿ = 0.

3. Expanding and collecting like terms, we obtain the following recurrence relation:

Σ[-Cₙ(n-1)(n+2)Cₙ₋₂ + 3Cₙ₋₁ + Cₙ]xⁿ = 0.

4. Equating the coefficient of each power of x to zero, we can solve the recurrence relation to find the values of Cₙ in terms of Cₙ₋₂ and Cₙ₋₁.

5. Once the values of Cₙ are determined, we can construct the power series solution y = ΣCₙxⁿ, which satisfies the given ODE about x = 0.

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Answer:

The perimeter is the sum of the lengths of all the sides of a polygon. Thus, the perimeter of this quadrilateral is:

(10a-6) + (7a+4) + (7a+4) + (10a-6)

Simplifying the expression:

= 34a - 4

Therefore, the perimeter of the quadrilateral is 34a - 4.

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

Answer:

29

Step-by-step explanation:

-3 1/3 • -8 7/10

-10/3 • -87/10

870/30

29

Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.

An explanation of the other options is as follows:

- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.

total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.

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A study with a larger sample is more likely than a smaller study to get the result that p < 0.05. If we assume the null hypothesis is true, the correct statement is: a.

When the null hypothesis is true, any observed effect is due to random chance.

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The probability of drawing another king of spades from the deck is zero as there is only one king of spades in the deck and that has been already drawn.

A standard 52- card suited sundeck comprises 13 species in each of the four suits there are 4 of each card( 4 aces, 4 lords, 4 queens,etc.)- there are 4 suits( clubs, hearts, diamonds, and spades) and there are 13 cards in each suit( clubs spades are black, hearts diamonds are red) Each suit includes three court cards( face cards), King, Queen and Jack, with reversible( double- headed) images. Each suit also includes ten numeric cards or pip cards, from one( Ace) to ten. The card with one pip is known as an Ace. Each pip card displays the number of pips( symbols of the suit) corresponding to its number, as well as the applicable numeric( except" A" for the Ace) in at least two corners.

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Step-by-step explanation:

tan39=27/x

0.80x=27

x=33.75

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The probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually is 0.06 or 6%.

To find the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually, we need to know the proportion of middle-income consumers who purchase two or more bottles of perfume annually.

Assuming that we have this information, let's say that the proportion of middle-income consumers who purchase two or more bottles of perfume annually is p. Then, the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually can be calculated using the following formula

P(middle-income and purchases two or more bottles) = P(middle-income) * P(purchases two or more bottles | middle-income)

Let's say that the proportions of low, medium, and high-income consumers are 0.4, 0.3, and 0.3, respectively. Also, let's assume that the proportion of middle-income consumers who purchase two or more bottles of perfume annually is 0.2.

Then, the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually is

P(middle-income and purchases two or more bottles) = 0.3 * 0.2 = 0.06

Therefore, the probability is 0.06 or 6%.

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Answer:

\(\displaystyle x_1=\frac{5+\sqrt{13}}{2}\approx4.3\text{ and } x_2=\frac{5+\sqrt{13}}{2}\approx0.7\)

Step-by-step explanation:

We are given:

\(x^2-5x+3=0\)

And we want to solve this via completing the square.

First, we will subtract 3 from both sides. This yields:

\(x^2-5x=-3\)

Next, we will factor out the leading coefficient from the left.

In this case, the leading coefficient is simply 1 so we can leave it as is.

Next, we want to add a constant that is half of the b coefficient squared.

In this case, b = -5.

Half of that is -5/2.

Squaring yields 25/4.

So, we will add 25/4 to both sides. Since our leading coefficient is 1, we don't need to multiply by anything when we add it on the right. Hence:

\(\displaystyle x^2-5x+\frac{25}{4}=-3+\frac{25}{4}\)

The left side constitutes a perfect square trinomial as shown:

\(\displaystyle (x)^2-2\Big(\frac{5}{2} \Big)(x)+\Big(\frac{5}{2}\Big)^2=-\frac{12}{4}+\frac{25}{4}\)

Factor and subtract:

\(\displaystyle \Big(x-\frac{5}{2}\Big)^2=\frac{13}{4}\)

Taking the square root of both sides gives:

\(\displaystyle x-\frac{5}{2}=\pm\frac{\sqrt{13}}{2}\)

Hence:

\(\displaystyle x=\frac{5}{2}\pm\frac{\sqrt{13}}{2}}=\frac{5\pm\sqrt{13}}{2}\)

Approximate:

\(\displaystyle x_1=\frac{5+\sqrt{13}}{2}\approx4.3\text{ and } x_2=\frac{5-\sqrt{13}}{2}\approx0.7\)

9514 1404 393

Answer:

  6

Step-by-step explanation:

We estimate the number as 49/8 ≈ 6. We can check to see if this is too many by finding the chain required for 6 bracelets:

  6 × 8 1/4 = 6×8 +6×1/4 = 48 +6/4 = 49 1/2

Sue can make 6 bracelets.

_____

You can also divide the total length of chain by the amount per bracelet:

  (49 1/2)/(8 1/4) = (99/2)/(33/4)

  = (99/2)(4/33) = (99/33)(4/2)

  = (3)(2) = 6

Answer:

 6

Step-by-step explanation:

We estimate the number as 49/8 ≈ 6. We can check to see if this is too many by finding the chain required for 6 bracelets:

 6 × 8 1/4 = 6×8 +6×1/4 = 48 +6/4 = 49 1/2

Sue can make 6 bracelets.

_____

You can also divide the total length of chain by the amount per bracelet:

 (49 1/2)/(8 1/4) = (99/2)/(33/4)

 = (99/2)(4/33) = (99/33)(4/2)

 = (3)(2) = 6

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Answer:

Rj has \(138\) dollars, Shawn has \(143\) dollars, and Riley has \(133\) dollars.

Step-by-step explanation:

Let's make the amount of money Rj has \(x\), so Shawn would have \(5+x\) dollars, and Riley would have \((5+x)-10\) dollars. Altogether they have \(414\) dollars, so you can create an equation.

\(x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138\)

Now that we know that \(x=138\), we can substitute x into each equation.

Rj has \(138\) dollars, Shawn has \(143\) dollars, and Riley has \(133\) dollars.

Answer:

Rj = $138

Shawn = $143

Riley = $133

Step-by-step explanation:

Notes

We can set up an equation to solve

-> x will be equal to Rj

-> For Riley, Shawn has 5 more than Rj (x + 5) and Riley has 10 less. 5 - 10 = -5

Solving for x

[equation] (x) + (x + 5) + (x - 5) = 414

[combine like terms] 3x = 414

[divide both sides by 3] x = 138

Solving for how much each person has

Rj = $138

Shawn = $138 + 5 = $143

Riley = $138 - 5 = $133

Checking work

$138 + $143 + $133 = $414 ✔

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- Heather

Answer: Your answer would be  y = 17/4 x - 12

Step-by-step explanation:

I hope this helps!

Answer:

y=17/4x-12

Step-by-step explanation:

Null hypothesis: No statistically significant relationship between stock splits and the value of shares held

Alternative Hypothesis: Statistically significant relationship between stock splits and the value of shares held

Probability of the shares held being worth

The null and alternative hypotheses are as follows:Null Hypothesis (H0): There is no statistically significant relationship between stock splits and the value of shares held.Alternative Hypothesis (Ha): There is a statistically significant relationship between stock splits and the value of shares held.The probability that the shares held will be worth more after the split can be determined through statistical analysis. The null hypothesis assumes that there is no relationship between stock splits and the value of shares held, while the alternative hypothesis suggests that there is a statistically significant relationship between the two variables.Therefore, the probability of the shares held being worth more after the split is based on the results of the statistical analysis of the null and alternative hypotheses.

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To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03)

To determine the margin of error for the 95% confidence interval, we need to use the formula:

Margin of Error = Critical value * Standard error

The critical value for a 95% confidence level can be obtained from the standard normal distribution table, which corresponds to 1.96. The standard error can be calculated using the following formula:

Standard error = \(\sqrt{(p * (1 - p) / n)}\)

Given that the proportion of North Carolina residents planning to set off fireworks is estimated to be 51% (0.51) based on the survey, we can substitute the values into the formula. However, the sample size (n) is not provided in the question, so we need to determine it in the next part.

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03). Substituting these values into the formula, we can solve for the required sample size.

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Given:

The height h of an object after t seconds is

\(h=-16t^2+48t+210\)

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

\(h=-16t^2+48t+210\)

Here, t is the time in seconds.

For t=-2,

\(h=-16(2)^2+48(-2)+210\)

\(h=-64-96+210\)

\(h=50\)

For t=5,

\(h=-16(5)^2+48(5)+210\)

\(h=-400+240+210\)

\(h=50\)

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

El área superficial total de los veinte tarugos es mayor que el área superficial cubierta por el pegamento.

En esta pregunta debemos calcular el área superficial total de los tarugos (\(A_{s}\)), en milímetros cuadrados, y comparar el resultado con la cifra afirmada por Eduardo. El área superficial total es:

\(A_{s} = 20\cdot \pi\cdot (5\,mm)^{2}\cdot (80\,mm)\)

\(A_{s} \approx 125663.706\,mm^{2 }\)

En consecuencia, el área superficial total de los veinte tarugos es mayor que el área superficial cubierta por el pegamento. Francisca tiene la razón. \(\blacksquare\)

El enunciado omite las dimensiones geométricas de cada tarugo (5 milímetros de radio y 80 milímetros de longitud).

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The angle of elevation from the stake up to the tent pole is, 54.55°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.

Also, The state is 11 feet away and it is the adjacent length.

We know, cos = adjacent/hypotenuse.

cos = 11/19.

Ф = cos⁻¹(0.58).

Ф = 54.55°.

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