Look at the graph. How many nails are less than 1 1/2 inches long?

dimensions of the poster with margin are L  =  12 in and h  = 24 in

The shape/polygon of a rectangle is two dimensional, having four sides, four vertices, and four right angles. The rectangle's two opposing sides are equal and parallel to one another. The space a rectangle occupies is known as its area. The area of a rectangle can also be defined as the region inside its border.

We utilise the unit squares to calculate a rectangle's area. Rectangle ABCD should be divided into unit squares. The total number of unit squares that make up a rectangle ABCD is its area.

Rectangle area equals length times width.

Let call length of printed area of the poster be " x "  and  height of printed area of the poster be " y ".

Area of the poster = length and height

200 = x*y  

y = 200/x

We also know that dimensions of the poster with margin is:

L  =  x + 2   in  and     H  =  y + 4 in

Therefore area of the poster is:

A(p)  = ( x + 2 ) * ( y + 4 )

And area as function of x is:

A(x)  =   ( x + 2 ) * ( 200/x + 4 )

A(x)  =  200 + 4*x + 400 /x  + 8

Taking derivatives on both sides of the equation we have:

A´(x)  =  4 - 400/x²

By taking A´(x)  = 0

4 - 400/x² = 0 ⇒ 4*x² - 400 = 0

x² = 400 / 4

x² = 100

x = 10 in

and y = 200/x ⇒ y = 20

The second derivative A´´(x) = 400/x4 which is > 0

there is a minimum for the function at the point x = 10

As x and y are dimensions of the printing area of the poster, dimensions of the poster with margin are

L  = x  +  2   =   10  + 2  =  12 in   and

h = y  +  4   =   20  + 4  =  24  in

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$775 at 6% simple interest for 3 years.

Substituting the given values in the formula, We get,

\( \sf: \implies \dfrac{775 \times 6 \times 3}{100} \)

Calculating further, We get,

\( \sf: \implies \dfrac{13950}{100} \)

Dividing, We get,

\( \sf: \implies \$ 139.50\)

∴ The Simple Interest is $139.50

Answer:

Down

Explanation:

Dependent events are events in which the outcomes are affected by previous outcomes.

In order to answer this question, the illustration below is used.

Consider a bag with 5 red and 5 blue tiles.

Since the events are dependent, the selection is made without replacement.

Observe that after each pick of the red color, the likelihood of picking a red tile decreases.

Therefore, after every pick, the likelihood of picking a particular color of tile go down.

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

\(18.75= 1.25x +3.75y\)

Multiply the whole equation by 4 to remove the decimals:

\(75= 5x +15y\)

Simplify by dividing the whole equation by 5:

\(15 = x + 3y\)

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

\(\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}\)

x +3y= 15 -----(2)

x= -3y +15

\(\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}\)

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

Answer:

6 games=$7.5  3 rides=$11.25

1.25*6=7.5

3.75*3=11.25

7.5+11.25=18.75

At a 0.05 level of significance, there is insufficient evidence to conclude that the mean amount of garbage per bin is different from 50 pounds.

To conduct the appropriate hypothesis test, we need to use a two-tailed t-test since we are interested in determining if the mean amount of garbage per bin is different from 50, not just greater or less than 50.

Our null hypothesis (H0) is that the mean amount of garbage per bin is equal to 50, and our alternative hypothesis (Ha) is that the mean amount of garbage per bin is different from 50.

Using a 0.05 level of significance, we will reject the null hypothesis if our calculated t-value falls outside of the critical t-value range determined by our degrees of freedom (df) and alpha level.

To calculate the t-value, we use the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in our values, we get:

t = (49.32 - 50) / (3.7 / sqrt(36))
t = -2.08

Using a t-table with df = 35 and alpha = 0.05, we find that the critical t-values are -2.03 and 2.03.

Since our calculated t-value of -2.08 falls outside of this range, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean amount of garbage per bin is different from 50.
To test if the mean amount of garbage per bin is different from 50, we will conduct a two-tailed hypothesis test using the provided information.

Step 1: State the null and alternative hypotheses.
Null hypothesis (H₀): µ = 50 (The population mean is equal to 50 pounds)
Alternative hypothesis (H₁): µ ≠ 50 (The population mean is not equal to 50 pounds)

Step 2: Determine the level of significance (α) and sample size (n).
α = 0.05
n = 36

Step 3: Calculate the test statistic (z-score).
z = (sample mean - population mean) / (sample standard deviation / √n)
z = (49.32 - 50) / (3.7 / √36)
z = -0.68 / 0.6167
z ≈ -1.10

Step 4: Find the critical z-values and make a decision.
For a two-tailed test with α = 0.05, the critical z-values are -1.96 and 1.96. Since the test statistic, -1.10, lies between these critical values, we fail to reject the null hypothesis.

Conclusion: At a 0.05 level of significance, there is insufficient evidence to conclude that the mean amount of garbage per bin is different from 50 pounds.

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Answer:

use calculator on chrome it will help u :)

Step-by-step explanation:

because then u do'nt have to wait for the answer

Answer:

Step-by-step explanation:

1) n=7

2)y=64

3)x=9

4)a=2

5)n=16

6)x=34

7)n=7

8)y=2

9)b=16

10)n=56

11)n=12

Answer: 24

Step-by-step explanation:

area of a triangle formula is 1/2bh.

6 is the base & 8 is the height.

1/2(6)(8) = 24

Answer:

24

Step-by-step explanation:

Answer:

(800 x 9) + (10 x 9)

Step-by-step explanation:

Find out what 810 x 9 is:

810 x 9 = 7290

Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):

(800 x 9) = 7200

(10 x 9) = 90

7200 + 90 = 7290

Based on the information above, the probability of winning the $20 prize is 0.16.

To find the probability that the contestant wins $20 we must carry out the following mathematical procedure:

Based on this result, we can infer that the probability that the contestant wins the $20 is 0.16. Additionally, you have a 0.5 chance of winning nothing and a 0.33 chance of winning $5.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Tasks

Find the probability that the contestant will win the $20 prize.

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The following statements are accurate conclusions:

The null hypothesis is: The proportion of California college students who currently drink alcohol is the same as the proportion nationwide (p = 0.60).

The alternative hypothesis is: The proportion of California college students who currently drink alcohol is different from the proportion nationwide (p ≠ 0.60).

p in the hypotheses represents the proportion of college students who currently drink alcohol.

The Z-score is calculated as:

Z = (0.66 - 0.60) / 0.023 = 2.61

The P value can be obtained from a standard normal distribution table or calculator:

P = 0.0045 (for a two-tailed test)

We reject the null hypothesis and come to the conclusion that there is a statistically significant difference between the proportion of drinkers in the population of California college students and the proportion of drinkers in the American adult population because the P value (0.0045) is less than the significance level (which is not stated in the question) (0.66).

For the given question:

The following statements are accurate conclusions:

The result that "There is a 0.06 difference in the proportion of drinkers when we compare the US adult population to the population of CA college students" is untrue since the hypothesis test is not concerned with proportional differences.

The complete question is:-

Normal Distribution Calculator Drag the orange flag left or right to change the Z-score Alternatively, enter a Z-score into the textbox and click enter. Enter 8 -1 Z-score: -1.000 0 Z-score The area to the left of the Z value is 0.1587 The area to the right of the Z value is 0.9413 Question 1 6 pts California College Students Who Drink According to the Centers for Disease Control and Prevention, 60% of all American adults ages 18 to 24 currently drink alcohol. Is the proportion of California college students who currently drink alcohol different from the proportion nationwide? A survey of 450 California college students indicates that 66% currently drink alcohol. The null hypothesis is (Select] The alternative hypothesis is Select] p in the hypotheses represents [Select) The standard error is 0.60(1-0.60) 450 = 0.023 The Z-score is (Select] The P value is Select) The conclusion is Select Question 2 4 pts For the previous example, which statements are accurate conclusions? The proportion of drinkers in the population of CA college students is not 0.60. There is a statistically significant difference between the proportion of drinkers in the American adult population (0.60) and the proportion of drinknes in the population of CA college students A larger proportion of CA college students drink alcohol compared to the adults nationwide When we compare the American adult population to the population of CA college students, there is a 0.06 difference in the proportion of drinkers

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Answer:

Step-by-step explanation:

Total calories in a granola bite= 27

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

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The angle QRS is 25 degrees and the angle STR is 40 degrees.

QST + QRS + STR = 180

We also know that QST = 40, and we can express the other two angles in terms of x using the given expressions:

QRS = 2x + 18

STR = 8x + 12

Substituting these values into the first equation, we get:

40 + (2x + 18) + (8x + 12) = 180

Simplifying and solving for x:

10x + 35 = 70

10x = 35

x = 3.5

QRS = 2x + 18 = 2(3.5) + 18 = 25

STR = 8x + 12 = 8(3.5) + 12 = 40

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Answer:

-0.0714 approx

Step-by-step explanation:

78x − 12 = 316x + 5

Bring all the like terms together

78x -316x = 5 + 12

-238x = 17

∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)

Answer:

282.5 hours

Step-by-step explanation:

14 books needs 113 hours

35 books needs x hours

x=(35×113)/14 = 3955/14 = 282.5 hours

Answer:

3 1/5

Step-by-step explanation:

k12 quiz 1.13

The method used to  collect data will be a survey

A survey is a technique for gathering information from a sample of people to learn more about their beliefs, attitudes or other traits. Political polls frequently entail selecting a representative sample of the populace and asking them questions regarding their beliefs. A survey is a distinct way of gathering data. Numerous techniques, including telephone interviews, online questionnaires, and in-person interviews, can be used to conduct surveys.

In a political poll, the pollster would typically design a survey including a series of questions related to the political candidate and the election, and then administer the survey to a sample of individuals to successfully gather data about their opinions and voting intentions. The results of the survey can be then analyzed to determine the candidate's standing in the polls.

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Answer:

x=5.0

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (46) =opposite/hypotenuse

sin (46) =x/7

multiply both sides by 7 to get 7 * sin (46) = x

7 * sin (46) = 5.0

Hence x = 5.0

If a point's preimage is P(x, y), then its image after a dilation with a scale factor of k and centered at the origin (0, 0) is P'(kx, ky).

The set of all points in a function's domain that correspond to a given point in the range is known as the preimage of a point in mathematics.

Formally, let f be a function that goes from a set A to a set B, and let y be a point in B. The preimage of y is the set of all points x in A where f(x) = y, or the set of all points in the domain that the function maps to the given point in the range.

If the preimage of the point P has facilitates (x, y), and the expansion focused at the beginning with a scale component of k is applied, then the directions of the picture point P' can be tracked down utilizing the accompanying recipe:

The x- and y-coordinates of P' are determined by multiplying the corresponding coordinates of the preimage point P by the scale factor k; consequently, the coordinates of the image point P' following the dilation with the origin centered on k would be (kx, ky).

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Complete question: If P(x,y) is the preimage Of a point, then it’s image after a dilation centered at the origin (0,0) with the scale factor k is the point P'.

What are the coordinates of point P'?

Answer: x=7\(\sqrt{3}\) and y = 14

Step-by-step explanation:

Answer: 1 & 2 are congruent

Step-by-step explanation:

They both have the same amount of space to get to the other point .

1.  AC is congruent to BD.

2. BD and CE are not congruent.

3. AD and BE are not congruent.

4.  BC and CE are not congruent.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

1. The segment AC is (1 - (-8)) = 9 units, and the line segment

BD is (3 -(-6)) = 9 units.

So, AC ≅ BD.

2. Line segment BD is 9 units and line segment CE is (7 - 1) = 6 units.

So, BD and CE are not congruent.

3. Line segment AD is (3 - (-8)) = 12 units and line segment BE is (7 - (-6)) = 13 units. (not congruent)

So, line segment AD and BE are not congruent.

4. Line segment BC is (1 - (-6)) = 7 units and line segment CE is (7 - 1) = 6 units.

So, Line segments BC and CE are not congruent.

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The equation of the level curve described above that contains the points (3,5) is -2u/[u + v]²

F(x1, y1)  = = √[x² + y²]

contains

f(3, 5)

F(3, 5) = √(3² + 5²)

= √34

= 5.83095

g(u,v) = [u-v]/[u+v]

gu = [(1) (u + v) - (u-v) (1)]/(u+v)²

= 2v/(u+v)²

gv =  [(-1) (u + v) - (u-v) (1)]/(u+v)²

= -2u/(u + v)²

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Full Question:

Find an equation of the level curve of f(x y) = √x² + y² that contains the point (3, 5)

Answer: 170m

Step-by-step explanation:

Answer:

Its 170 meters

Step-by-step explanation:

I hope this helps you

Answer:

8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192, and so on..

Answer:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160......

Step-by-step explanation:

8 * 1 = 8

8 * 2 = 16

8 * 3 = 24

8 * 4 = 32

8 * 5 = 40

8 * 6 = 48

8 * 7 = 56

8 * 8 = 64

8 * 9 = 72

8 * 10 = 80

8 * 11 = 88

8 * 12 = 96

8 * 13 = 104

8 * 14 = 112

8 * 15 = 120

8 * 16 = 128

8 * 17 = 136

8 * 18 = 144

8 * 19 = 152

8 * 20 = 160

Just keep multiplying numbers by 8.

Answer:

4(2 + 2c) = (4×2) + (4×2c) = 8 + 8c

Step-by-step explanation:

Answer:

find out the answere

Step-by-step explanation:

hope this helps you get the answere

Given point M (1,3) and the equation, y = kx + 1:

I started by plotting point M on the graph at (1, 3).

Next, given the equation, y = kx + 1, it means that the y-intercept is (0 , 1). That’s where I plotted the next point—along the y-axis.

By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). Therefore, (0, 1) is the y-intercept, and its y-coordinate, 1, is given by the equation, y = kx + 1.

Attached is a screenshot of the graphed line.

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The value of the angle 4 is 96 degrees as shown in the diagram.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.

Given the following angles

m<3 = 84 degrees

Since the measure of <3 and <4 lies on the same straight line, hence:

m<3 + m<4 = 180

84 + m<4 = 180

m<4 = 180 - 84

m<4 = 96 degrees

Hence the measure of angle 4 from the figure is 96 degrees

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Answer:

The second and the third options are the correct answers.

Step-by-step explanation:

For the second option, 8 times 3 would equal 24, and z^7 and z^4 would have its exponents to be added together to form a final answer of 24z^11.

For the third option, 9 and -3 would multiply to equal -27. a^5 and a^2 would multiply, causing their exponents to be added. The final answer for the third option would then be -27a^7

The value of x and z are x° = 6.71°, z° = 75.26° simulataneously,

What is the linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

We have,

Angles:

6x° + 35°

z°

8x° + 51°

To find the values of x and z

from the given figure

Linear pair angles:

6x° + 35° + 8x° + 51° = 180

14x° + 86° = 180

14x° = 180° - 86°

14x° = 94°

x° = 94°/14°

x° = 6.71°

Vertically opposites angles are equal

6x° + 35° = z°

z° =  6( 6.71°)° + 35

z° = 40.26 + 35

z° = 75.26°

Hence, the value of x and z are x° = 6.71°, z° = 75.26° simulataneously.

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