(1 point) Dylan wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomly selected students he finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.01 for p

Answer:

Trapezoid

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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Answer:

27,327,300

Step-by-step explanation:

The number of ways she can choose 3 beverages from 15 is ₁₅C₃ = 455.

The number of ways she can choose 3 appetizers from 11 is ₁₁C₃ = 165.

The number of ways she can choose 3 desserts from 14 is ₁₄C₃ = 364.

So the total number of combinations is 455 × 165 × 364 = 27,327,300.

Answer:

102

Step-by-step explanation:

The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:

65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 ,119 , 126 , 134

Since there is an odd number of data values in this data set, there is only one middle number. With 11 data values, the middle number is the data value at position 6. Therefore, the median is 102.

Answer:

102

Step-by-step explanation:

1. The median is the quantity that's in the middle of a data set.

2. First, we have to arrange the given data set from least to greatest:

3. Now, when we try and locate the middle number, we can see that the number is 102.

Therefore, the median is 102.

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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Answer:

add up to 90 degree

Step-by-step explanation:

Answer:

8 1/2

2 19/36

1 9/10

23/42

Answer:

10 people

Step-by-step explanation:

First, I subtracted $16.75 from $390. I got an answer of $373.25. Next, I divided $373.25 by 34 people. The answer then rounded out to 10 People. So in conclusion 10 people can go to the amusment park.

Answer:

x = 128

Step-by-step explanation:

Right angles are 90 degrees.  90 + 90 + 52 = 232. 360 (angles in a quadrilateral) - 232 = 128.

Answer:

ans is 128

Step-by-step explanation:

90+90+52+x=360(all sides of triangle is 360)

180+52+x=360

232+x=360

x=360_232

x=128

Answer:

1. 5km/hr

2. 165km/hr

3 2.5m/s

Answer:

1 6.32km/h

2 The average speed of the helicopter will be 96km/ hr or 1.6km/min.

3 2.5 m per second

4 0.002 km/h

Step-by-step explanation:

hope this helps

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Step-by-step explanation:

Yes, the constant of proportionality is 0.3.

Answer:

Yes, the constant of proportionality is 0.3.

Step-by-step explanation:

12-ounce cup costs $3.60 => 1 ounce = $3.60 / 12 = $0.3

16-ounce cup costs $4.80 => 1 ounce = $4.80 / 16 = $0.3

$0.3 = $0.3

Yes, the constant of proportionality is 0.3.

Answer: Number of cars = 100

Step-by-step explanation:

Ratio given:

\(\frac{Cars}{Vans} =\frac{8}{3}\)

\(\frac{Motorbikes}{Vans} =\frac{2}{5}\)

Find cars if motorbikes = 15

\(\frac{15}{Vans} = \frac{2}{5}\)

\(Vans = \frac{75}{2}\)

Vans = 37.5

using the ration of cars to vans:

\(\frac{Cars}{37.5} =\frac{8}{3}\)

Cars = 100

W =∫ lower power (-r) to higher power (r + h) (h + r - x) 2pgl \(\sqrt{r^2+x^2}\) dx is the integral for the effort needed to pump water out of a spout that is 2 m above the tank.

Integral: In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).

r = 2m

l= 5m

sinθ=x/r

\(dv=2l\sqrt{r^2+x^2} dx\)

Let g be the acceleration brought on by gravity, and let p be the density of water.

dm = p dv

dw = dmg (h + r - x)

dw = pg (h + r - x) dx

dw = 2lpg  (h + r - x) \(\sqrt{r^2+x^2}\) dx

w = ∫dw

w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x)  \(\sqrt{r^2+x^2}\) dx

Therefore, the integral for the work required to pump the water out of a

spout that rises 2 m above the tank is

w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x) \(\sqrt{r^2+x^2}\) dx

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Answer:

Solution:

Here,

\(\begin{array}{ | c| c c | } \hline\ \ \text{length \: of \: iron \: rod}& \text{weight} \\ \hline 13 \rm{m}& \rm{23.4kg} \\ \hline \rm{6m}&?\\ \hline\end{array}\)

Weight of 13 m of rod=23.4 kg

Weight of 1 m of rod=23.4/13 kg

[less length,less weight]

Weight of 6 m of rod=23.4/13 ×6 kg=10.8 kg

[more length,more weight]

Thus,the weight of 6 m of rod is 10.8 kg.

Alternative method:

Let,the required weight be x kg.

Then,

\(\begin{array}{ | c| c c | } \hline\ \ \text{length \: of \: iron \: rod}& \text{weight} \\ \hline \rm{13m}& \rm{23.4 \: kg }\\ \hline \rm{6m}& \rm{x =? } \\ \hline\end{array}\)

We know that,

More length of iron rod(\(\red{\uparrow}\)) will have the more weight(\(\red{\uparrow}\)).

So,using the rule of direct proportion;

i.e. Ratio of length=Ratio of weight

\( \displaystyle{ \frac{13}{6} = \rm\frac{23.4}{x} }\)

\( \rm{13x = 6 \times 23.4}\)

\( \rm{x = \displaystyle{ \frac{6 \times 23.4}{13} }}\)

\( \therefore{x = 10.8}\)

Thus,the weight of 6 m long iron rod is 10.8 kg.

Answer:

3 - 9g = -8g + 4

-9g + 8g = 4 -3

g = -1

Area of a circle=πr^2

circumference of a circle= 2πr

circumference of a circle=25.12

2πr=25.12

r=25.12÷2π=4

radius=4

Are of circle= πr^2=π4^2=50.28cm^2

The correct option Cluster random sample.

In cluster random sampling, at first the population is divided into several small non-overlapping sub-populations and these sub-populations are called clusters.

The size of the cluster may or may not be equal.

Units within the cluster should be as heterogeneous as possible, i.e. one cluster could represent the population, and units between the clusters should be homogeneous.

Then simple random sampling is used to select some sample cluster and all the units of the selected cluster are taken as sample units.

Cluster sampling can be more cost-effective than simple random sampling, especially if the population is dispersed across a large geographical area.

However, cluster sampling methods tend to be less efficient than either simple random sampling methods or stratified sampling methods and often require a larger sample size.

The entire population: here all customers are divided into several clusters: here 35 rides. Sample of clusters: here 5 rides are selected and all items in the selected 5 clusters are included in the sample.

Therefore, the correct option is Cluster random sample.

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Answer:

No sorry I dont have the assessment. But I hope you have a wonderful day!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the scale from QRP to FGH is 2x, since we go vice versa, divide the same side on the other triangle by 2

To find the scale, I saw that the 5cm went to 10. (please give brainliest if this helps!)

Answer:

C.7cm

Step-by-step explanation:

...............

Answer:

0.44444444

Step-by-step explanation:

Answer: 4/9 and 0.4 repeating

Step-by-step explanation:

Step 1: Write the equivalence of each unit

Step 2: Calculate the cost of producing 3 grilled-cheese sandwiches

From the above calculations we can calculate the cost of producing three grilled-cheese sandwiches as

Thus, the cost per sandwich is given as

Hence, the cost per sandwich is $0.78

Option A is the right answer

Answer:12

Step-by-step explanation:

The length of the segment in the right triangle is 6 unit.

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

A right angle triangle,

In which, tan B = 4/3, BC = 15 and DA = 3,

the length of DE = ?

suppose, the length of BD is  x

and the length of DE is h.

we can use trigonometric formula her;

sin B  = AC/BC  

sin B = AC/15

if the value of tan B is 4/3 then the value of sin B will be 4/5.

AC/15  = 4/5

AC  = 12

Now, tan B = 4/3 = 12/AB

AB = 16

Now we can use similarity of triangles;

DE/BD = AC/AB

DE  = BD x (AC/AB)

BD  = AB/2

DE  = 8 x 12/16

      = 6

Therefore, the length of DE is 6 unit.

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To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

The 10th term of the geometric sequence is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

Using the mth term as the reference, we have that:

\(a_n = a_mq^{n-m}\)

Hence:

\(a_5 = a_3q^2\)

\(q = \sqrt{\frac{a_5}{a_3}}\)

And then the 10th term is given as follows:

\(a_{10} = a_5\left(\sqrt{\frac{a_5}{a_3}}\right)^{n-5}\)

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Answer:

1-{0.2(m-3)+¼}=0

1{0.2m-0.6+¼}=0

1-{(0.8m-2.4+1)/4}=0

1-(0.8m-1.4)/4=0

lcm

(4-0.8m-1.4)/4=0

(2.6-0.8m)/4=0

cross multiply

2.6-0.8m=0

m=2.6/0.8

m=3.25

The solution of the expression are,

⇒ m = 3.25

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ 1 - | 0.2 (m - 3) + 1/4 | = 0

Now, We can simplify as;

⇒ 1 - | 0.2m - 0.6 + 1/4| = 0

⇒ 1 - |0.2m - 0.6 + 0.25| = 0

⇒ 1 - |0.2m - 0.35| = 0

⇒ 1 = 0.2m + 0.35

⇒ 1 - 0.35 = 0.2m

⇒ 0.2m = 0.65

⇒ m = 3.25

Thus, The solution of the expression are,

⇒ m = 3.25

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The solution is, the x-intercept is (19,0) and the y-intercept is (0,-19).

The y-intercept of the function is where the graph crosses y-axis.

The x-intercept is where the graph crosses the x-axis.

here, we have,

Given:

The equation of the graph is, x - y = 37.

The objective is to find the x-intercept and y-intercept of the graph.

Explanation:

At x-intercept the value of y will be zero.

In the given equation, at y = 0,

so, x - 0 = 37

or, x = 37

Thus, the coordinate is (37,0).

Similarly, at y-intercept the value of x will be zero.

In the given equation, at x = 0,

0-y = 37

or, y = -37

Thus, the coordinate is (0,-37).

Hence, the x-intercept is (19,0) and the y-intercept is (0,-19).

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Step-by-step explanation:

Associative property

We know

a + (b + c) = (a + b) + c

a = b + 7

b + 7 = 9

Rearrange Eq. 2

9 = b + 7

a = b + 7

Hence,

Value of a is 9