Sandy surveyed the students in his classroom. He found that 16 of 34 students like writing with pencils rather then pens. If there are 782 students in the school, how may prefer writing with a pencil?

Answer:

i think it should be B. good luck!

Answer:

3.3%.

Step-by-step explanation:

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

For this problem, we have that:

We dont know the true proportion, so we use \(\pi = 0.5\), which is when we are are going to need the largest sample size.

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.04\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.04}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2\)

\(n = 600.25\)

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.02\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.02}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2\)

\(n = 2401\)

The minimum sample size is 2401.

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Step-by-step explanation:

There is no diagram how can we answer

Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer:

x = 20, y = -3

Step-by-step explanation:

Set both equations equal to each other

\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)

The sequences which are graphic are (a), (c), (d), (f). Others are not Graphic.

(a) Yes, (6,5,4,3,2,1,0) is graphic. This is because the sequence can be represented by a simple graph where the numbers in the sequence represent the degrees of each vertex. The sum of the degrees of all vertices is twice the number of edges, which in this case is 12.

(b) No, (2,2,2,2,2,2) is not graphic. This is because the sequence can be represented by a graph with 6 vertices, each with degree 2. The sum of the degrees of all vertices is 12, but there are only 6 edges in this graph, which is less than the sum of their degrees.

(c) Yes, (3,2,2,2,2,2) is graphic. This is because the sequence can be represented by a graph with 6 vertices, each with degree 2 except one vertex with degree 3. The sum of the degrees of all vertices is 15, and there are 9 edges in the graph, which is equal to the sum of their degrees.

(d) Yes, (5,3,3,3,3,3) is graphic. This is because the sequence can be represented by a graph with 6 vertices, each with degree 3 except one vertex with degree 5. The sum of the degrees of all vertices is 21, and there are 15 edges in the graph, which is equal to the sum of their degrees.

(e) No, (1,1,1,1,1,1) is not graphic. This is because the sequence can be represented by a graph with 6 vertices, each with a degree 1. The sum of the degrees of all vertices is 6, but there are only 3 edges in this graph, which is less than the sum of their degrees.

(f) Yes, (5,5,4,3,2,1) is graphic. This is because the sequence can be represented by a graph with 6 vertices, each with a different degree. The sum of the degrees of all vertices is 21, and there are 15 edges in the graph, which is equal to the sum of their degrees.

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Answer: 81

Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract

step 1: 142-133 = 9  

Step 2: 90 - 9 = 81

There that is your answer 81

Answer: 16j^3+2

Step-by-step explanation:

Answer:

(23•32t5x)

Step-by-step explanation:

STEP1:

Equation at the end of step1:

(((2t)3) • x) • 32t2

STEP2:

Equation at the end of step2:

(23t3 • x) • 32t2

STEP3:

Multiplying exponential expressions :

 3.1    t3 multiplied by t2 = t(3 + 2) = t5

Final result :

(23•32t5x)

Answer:

  C

Step-by-step explanation:

A relation is a function if each input gives exactly one output. There is one price for each number of pounds, so the relation is a function.

__

Additional comment

Relations expressed in terms of ordered pairs or tables can be identified as "not a function" if any input (x) value is repeated. Relations expressed as a graph will be "not a function" if any vertical line intersects the graph at more than one point. (This is called "the vertical line test.")

The cost function in this case is a straight line through the origin. It has a slope of $5.99/lb. Any polynomial relation will be a function.

Answer:

18%

Step-by-step explanation:

There are 1000 grams to a kilogram, so to find the percentage of a kilogram, simply divide by 1000.

180 ÷ 1000 = 0.18 kilograms (or 18%)

Answer

18%

Step-by-step explanation:

One kilogram is a thousand grams and one gram is .1% of one kilogram. So 180 grams would be 18.0% kilograms

(but you can drop the zero to 18%)

Two triangles may be similar sometimes (known as similar triangles) and two squares and two rectangles are always similar.

According to the question,

We have the following information:

Two triangles, two squares and two rectangles

We know that when we say two figures are similar then it means that angles of the given two figures are congruent or their corresponding sides are equal.

Now, in a triangle, it is not sure which angle or side will be there.

So, they can not always be similar but can be similar in some cases.

In a rectangle and square, four angles are right angles.

So, they are always similar.

Hence, two triangles may be similar sometimes and two squares and two rectangles are always similar.

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Answer:

C. 5

Step-by-step explanation:

Becuase the left figure is just a scaled down size of the right one, 3 x 2 = 6 so 10 ÷ 2 = 5

WooHoo! Pls Brainliest! It would mean a lot! ;)

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Answer:

\(A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]\)

Step-by-step explanation:

Given

\(T:R^3->R^2\)

\(T(e_1) = (1,2)\)

\(T(e_2) = (-4,6)\)

\(T(e_3) = (2,-6)\)

Required

Find the standard matrix

The standard matrix (A) is given by

\(Ax = T(x)\)

Where

\(T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]\)

\(Ax = T(x)\) becomes

\(Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]\)

The x on both sides cancel out; and, we're left with:

\(A = [T(e_1)\ T(e_2)\ T(e_3)]\)

Recall that:

\(T(e_1) = (1,2)\)

\(T(e_2) = (-4,6)\)

\(T(e_3) = (2,-6)\)

In matrix:

\((a,b)\) is represented as: \(\left[\begin{array}{c}a\\b\end{array}\right]\)

So:

\(T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right]\)

\(T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right]\)

\(T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right]\)

Substitute the above expressions in \(A = [T(e_1)\ T(e_2)\ T(e_3)]\)

\(A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]\)

Hence, the standard of the matrix A is:

\(A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]\)

well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

The probability of getting a number greater than 5 is = 1/6

Option (b) is correct.

The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.

Die with numbers; 1,2,3,4,5,6

A number greater than 5 on the dice

A number greater than 5 is,6 out of which only one Number appears while throwing dice

So, using the formula :

probability(number greater than 5)= favorable outcome/ total number of outcomes

The probability of getting a number greater than 5 is = 1/6

The complete question is -

The probability of getting a number greater than 5 in throwing a die is

a) 1/3

b) 1/6

c) 3/4

d) 2/3

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Answer:

C  126 sq. units

Step-by-step explanation:

A = 1/2(b)(h)

A = 1/2(21)(12)

A = 1/2 × 252

A = 126 sq. units

From the table of frequencies, the probability of not drawing a point card is:

Then, in 25 turns you expect to not draw a point card the next number of times:

Answer:

One Way: 6/9 = 2/3

Step-by-step explanation:

You have to divide. Divide the numerators 6 by 3 and divide 9 by 3 on the denominator.

Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18

Answer:

B) g(x)=3x²

Step-by-step explanation:

Since g(x) is just a vertical stretch of the parent function f(x), then the leading coefficient must be greater than 1. Therefore, the only answer that makes the most sense given the point (1,3) would be g(x)=3x².

Answer:

B

Step-by-step explanation:

Answer:

Reject the Null ;

0.928

Step-by-step explanation:

Given the data: 2, 4, 3, 5, 1, 1, 4

Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857

Standard deviation, s = 1.57 ( using calculator)

The hypothesis :

H0 : μ = 1.4

H1 : μ ≠ 1.4

Since sample size is small, use T test

Test statistic :

Tstatistic = (x - μ) / s/sqrt(n)

Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)

Tstatistic = 1.457 / 0.593 = 2.455

Two tailed test at α = 0.05

Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447

Tstatistic > Tcritical ; reject the null

Since ;

2.455 > 2.447 ; we reject the null ;

There is significam evidence that Number of complaints has changed.

Effect size ;

d = (x - μ) / s

d = (2.857 - 1.4) / 1.57

d = 1.457 / 1.57

d = 0.928