At a mall, random people are asked what their favorite movie genre is. The results are shown in the table below.


Comedy


40


Sports


36


Animation


25


Romance


18


Drama


32


Horror


15


Documentary


22


Adventure


22

Answer:

150

Step-by-step explanation:

Answer:

150  =  half of 300

± 180

230

soooo 230 students

Step-by-step explanation:

Given:

Bob owns a hardware store he sells hammers for 15$

On Saturday he sold 36 hammers.

The total cost of the hammers =

So, the answer will be $540

The equation of the exponential function is 2ˣ with the given properties.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

An exponential function of base e has the form f(x) = \(ae^{(bx)}\), where a and b are constants.

The horizontal asymptote of this function is at y=1, which means that a=1.

The y-intercept is the point where the graph crosses the y-axis, which is at x=0. The value of f(0) is the y-intercept of the graph, and since it is less than 2, we have \(f(0) = 1\times e^{(b\times0)}\) = 1 < 2.

The graph also contains the point (-1, 2), which means that f(-1) = 2. Substituting the values we have found for a and f(0) into the equation for f(x), we get \(f(-1) = 1\times e^{(b\times(-1))}\) = 2.

Solving this equation for b, we find that b = ln(2).

Substituting this value for b into the equation for f(x), we get f(x) = \(e^{(ln(2)x)} = 2^x\).

This is the equation of the exponential function with the given properties.

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If there is no difference between the distributions of scores in two groups, the effect size will be equal to zero.Effect size is a measure used to quantify magnitude of a difference or relationship between variables.

It provides information about the practical significance or importance of an observed effect. In the context of comparing distributions of scores between two groups, a non-zero effect size indicates that there is a difference between the groups.

However, when there is no difference between the distributions of scores in the two groups, it implies that the effect size is zero. This means that the observed effect or relationship is negligible, indicating that the groups are essentially similar and there is no meaningful distinction between them.

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Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = \(\frac{x}{y}\)

Then θ = \(\text{Sin}^{-1}(\frac{x}{y} )\)

From the given values in the question,

Sinθ = \(\frac{7}{29}\)

θ = \(\text{Sin}^{-1}(\frac{7}{29} )\)

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

So the elevation of the clock is approximately 39.1 meters above the ground.

Trigonometry is a branch of mathematics that deals with the study of triangles, particularly the relationships between the sides and angles of triangles. It is used to calculate the relationships between the sides and angles of triangles in order to solve real-world problems related to areas such as architecture, engineering, physics, and astronomy. Trigonometric functions, such as sine, cosine, and tangent, are used to calculate these relationships.

Here,

We can use the tangent function to find the elevation of the clock:

tan(15°) = opposite / adjacent

where the opposite side is the elevation we want to find and the adjacent side is the horizontal distance from Penny's yard to the clock:

tan(15°) = x / 140

Multiplying both sides by 140, we get:

x = 140 tan(15°)

Using a calculator, we find that:

x ≈ 39.1 meters

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i) Distance between X and Y along the equator ≊ 6258 km

ii) Distance of X from the North pole ≊ 10057 km

What is the equator ?

The Equator is a fictitious line that circles the globe's center. The line that separates the Northern Hemisphere from the Southern Hemisphere is located halfway between the North and South Poles.

The Longitude difference = 123° - 67° = 56°

(i) Distance between X and Y along the equator

= (56/360)×2×(22/7)×6400cos(0)

= (56/360)×2×(22/7)×6400

= 6257.78 km  

≊ 6258 km

(ii) Latitude difference =  90°

Distance from the North pole

= (90/360)×2×(22/7)×6400

= 10057.14 km

≊10057 km

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Analyzing the quadratic functions, it is found that the correct option is D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

Looking at the graph, Function f has a minimum value of 1 at x = -3. Hence, the axis of symmetry is x = -3.

Function g has a minimum value of 6 at x = -3. Hence, the axis of symmetry is also x = -3.

Therefore, the functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

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The null and the alternate hypothesis are:

H0: p = 0.35; Ha: p ≠ 0.35

Given that:

\(p = 35\%\)

\(p = 0.35\)

The percentage that lie are not 35% means that they are not equal to 35%

Not equal to is represented as: \(\ne\)

So, the alternate hypothesis is:

Ha: p ≠ 0.35

The null hypothesis will be the direct opposite, i.e. equal to 35%

So, the null hypothesis is:

H0: p = 0.35;

Hence, the null and the alternate hypotheses are:

H0: p = 0.35;

Ha: p ≠ 0.35

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Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

sorry i don't understand your language but i wish i could help you

Answer:

A, B, E

Step-by-step explanation:

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

When performing a 3-D problem analysis, in general, you have three scalar equations of equilibrium. Therefore, the answer is (b) 3.

In a 3-D problem analysis, we consider forces and moments acting in three perpendicular directions: x, y, and z. For each direction, we can apply the principle of equilibrium to derive a scalar equation. The equations of equilibrium are as follows:

ΣFx = 0 (Sum of forces in the x-direction is zero)

ΣFy = 0 (Sum of forces in the y-direction is zero)

ΣFz = 0 (Sum of forces in the z-direction is zero)

These three scalar equations of equilibrium represent the conditions for a body to be in static equilibrium in three-dimensional space.

When analyzing 3-D problems, we typically have three scalar equations of equilibrium. These equations help us determine the unknown forces and moments acting on a body by setting the sums of forces and moments in each direction equal to zero. By solving these equations simultaneously, we can find the equilibrium conditions and obtain the desired solutions.

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The x-intercept of CD is 17.

Since CD is perpendicular to AB and passes through point C(5, 12), we can find the equation of CD using the slope-intercept form.

The slope of CD can be determined using the negative reciprocal of the slope of AB.

Slope of AB = (change in y) / (change in x) = (14 - (-3)) / (7 - (-10)) = 17 / 17 = 1

The negative reciprocal of 1 is -1. Therefore, the slope of CD is -1.

Using the slope-intercept form, we can write the equation of CD as:

y - y1 = m(x - x1),

where (x1, y1) is a point on CD. Let's use point C(5, 12):

y - 12 = -1(x - 5)

Simplifying the equation, we have:

y - 12 = -x + 5

y = -x + 17

To find the x-intercept, we set y = 0 and solve for x:

0 = -x + 17

x = 17

Therefore, the x-intercept of CD is 17.

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Answer:

m = 125h          If he painted 8 houses he would get $1000

Step-by-step explanation: you multiply the number of houses by the money earned for each house

8 × 125 = 1000

Answer:

Step-by-step explanation:

Discussion and Correction

The algrebra  itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3

Answer: So the exclusions in the denominator should be modified to x = 3.

Answer:

The excluded values are x-values that make the denominator of the original expression zero, since \(\dfrac{a}{0}\) is undefined.

\(x = -3\) is not an excluded value since this x-value does not make the  denominator zero.

\(x = -3\) makes the numerator zero, but as \(\dfrac{0}{a}=0\) it is not an excluded value.

Therefore, step 3 of her work should read:

\(\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3\)

Answer:

Step-by-step explanation:

EB/BC=15/12=5/4

ED/AC=X+5/Y=5/4

5y=4x+20

y=0.8x+4

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The additional concentration of nitrogen in the river water due to the farmer's fertilizer each year is X milligrams of nitrogen per liter.

To calculate the additional concentration of nitrogen in the river water due to the farmer's fertilizer, we need to determine the amount of nitrogen added by the fertilizer and the volume of water in the river. The concentration of nitrogen in the river water is typically expressed in milligrams of nitrogen per liter (mg/L).

First, we need to find the amount of nitrogen added by the fertilizer per year. This requires knowing the amount of fertilizer used and the nitrogen content in the fertilizer. Let's assume that the fertilizer used by the farmer has a nitrogen concentration of Y% (expressed as a decimal).

Next, we need to determine the volume of water in the river that comes into contact with the fertilizer and carries the nitrogen downstream. This can be estimated by multiplying the average flow rate of the river (0.530 cubic feet per second) by the number of seconds in a year (365 days × 24 hours × 60 minutes × 60 seconds).

Now we can calculate the additional concentration of nitrogen in the river water. The formula is:

Additional nitrogen concentration (mg/L) = (Nitrogen added by fertilizer in mg) / (Volume of water in liters)

To convert the amount of nitrogen added by the fertilizer to milligrams, we need to multiply the amount of fertilizer used (in cubic feet) by the nitrogen concentration (Y%) and by the conversion factor of 10^6 (to convert cubic feet to liters and percentage to decimal).

Substituting the values into the formula, we can find the additional concentration of nitrogen in the river water due to the farmer's fertilizer each year.

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Option A

The slope - intercept form of the equation of a line is:

y = mx + c

where m is the slope

c is the y-intercept

If a line of best fit is drawn on the on each of the scatterplots, only in the first scatterplot can the line of best fit intesect the y-axis at 2. A slope of 1/2 is also only possible when a line of best fit is drawn on the first scatterplot.

That is, c = 2

m = 1/2

Therefore, only the first scatterplot would have the line of best fit represented by the equation y = 1/2 x + 2

The length of the legs of the right triangle are the ones in option D;

4.9 units, 14.2 units

Here we have a right triangle with one interior angle that measures 19°, and the hypotenuse measures 15 units.

To find the measures of the legs we can use trigonometric relations; we will get the measures of the two legs.

cos(19°) = x/15 ----> x = cos(19°)*15 = 14.2 units.

sin(19°) = y/15 ----> y = sin(19°)*15 =  4.9  units

Then the correct option will be D, these are the two lenghts of the legs of the right triangle.

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Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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Answer:

Step-by-step explanation:

Pie (π) is an infinite decimal where it goes on forever, and numbers do not repeat in a pattern.

For these reasons, you cannot get all the numbers of pie.

EXTRA

I can provide to you with some of the digits.

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006

Here you go!! :)

the height of the tree to the nearest hundredth of a meter is 0.66 meters

Given that Adrian is 1.65 meters tall and he measures the length of a tree's shadow to be 31.25 meters at 11 a.m., and he stands 27 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.

Let h be the height of the tree.So,Using the concept of similarity of triangles we have,

⇒ 27/(h - 1.65) = 31.25/h

⇒ h × 27 = 31.25(h - 1.65)

⇒ 27h = 31.25h - 51.5625 + 54.375

⇒ 4.25h = 2.8125h = 2.8125/4.25h = 0.6617 meters

Therefore, the height of the tree to the nearest hundredth of a meter is 0.66 meters.

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Answer:

\(x=23\)

Step-by-step explanation:

\(x-6=17\)

\(x-6+6=17+6\) ( Add 6 to both sides)

\(x=23\)

Now we have to,

→ find the required value of x.

Given equation,

→ x - 6 = 17

Let's solve the equation,

→ x - 6 = 17

→ x = 17 + 6

→ [ x = 23 ]

Hence, the value of x is 23.

Answer:

1000 grams= 1 kilograms

4700 grams = 4.7 kilograms