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Yi is running for class president. To try to predict how people will vote, she wants to take a poll with a 90% confidence level (z*-score of 1.645) and an estimated margin of error of 4%. What is the approximate minimum sample size for Yi’s initial poll?
General
2 months ago
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)?
General
2 months ago
What two-dimensional figure will result from slicing this rectangular pyramid parallel to the base?A. rectangleB. equilateral triangleC. isosceles triangleD. trapezoid
General
2 months ago
Which statement is modeled by the expression? The Perez family drove 500 miles each day of their vacation. If their vacation lasted for n days, then 500n is the total number of miles they traveled on their vacation. The community theater had a capacity of 500 seats. If n is the number of tickets sold for a performance, then 500n is number of seats that were left empty for that performance. Jody had 500 dollars in her savings account. She withdrew n dollars to buy some camping supplies. She then had 500n dollars left in her savings account. A store had 500 apples to be placed in bags with an equal number of apples in each bag. If n is the number of bags to be used, then 500n is the number of apples in each bag..
General
2 months ago
Which of the following fractions has the same value as the decimal number 0.65?
General
2 months ago
Lani is making a cake in the shape of a cone. To make the cake, she uses a cone shape mold. The mold has a diameter of 10 inches and a height of 12 inches.What is the volume of the cake?Use 3.14 for pi. Round to the nearest tenth, if necessary.125.6 in³314 in³942 in³1256 in³
General
2 months ago
What is the equation of this line?
General
2 months ago
Instruction: Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.Match each pair of points A and B to point C such that the measure of Angle ABC=90*. Tiles1. A(3, 3) and B(12, 6)2. C(6, 52)3. A(-10, 5) and B(12, 16)4. C(16, -6)5. A(-8, 3) and B(12, 8)6. C(18, 4)7. A(12, -14) and B(-16, 21)8. C(-11, 25)9. A(-12, -19) and B(20, 45)10. A(30, 20) and B(-20, -15)
General
2 months ago
In ΔABC, m∠ABC = 40°, BL is the angle bisector of ∠B with point L∈ AC. Point M ∈ AB so that LM ⊥ AB and N ∈ BC so that LN⊥ BCFind the angle measures in ΔABC if m∠CLN = 3m∠ALM and prove that CN = 1 /CL.
General
2 months ago
Drag a statement or reason to each box to complete this proof.If −3(x+8)=−21, then x=−1.
General
2 months ago
A debt of $450 is to be shared equally among the members of the Outing Club. When five of the members refuse to pay, the other members’ shares each go up by $3. How many members does the Outing Club have?
General
2 months ago
Starting from the same place, Ryu walks due west and Samantha walks due east.On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. All values are given in feet.A number line with a point for Samantha at coordinate 40 and a point for Ryu at coordinate -160.How many feet apart are Ryu and Samantha on the number line?
General
2 months ago
Use lagrange multipliers to find three positive numbers whose sum is 120 and whose product is maximum. (enter your answers as a comma-separated list.) (40,40,40) incorrect: your answer is incorrect.
General
2 months ago
Use the properties of geometric series to find the sum of the series. for what values of the variable does the series converge to this sum? 5+(−10)z+20z2+(−40)z3+⋯
General
2 months ago
Use cylindrical coordinates. evaluate x dv e , where e is enclosed by the planes z = 0 and z = x + y + 10 and by the cylinders x2 + y2 = 16 and x2 + y2 = 36.
General
2 months ago
sheila either walks to school or cycles, the probability that she walks it 0.65.If she walks, the probability that shell be iate is 0.4If she cycles the probability that shell be late is 0.1work out the probability that on any one day, sheila will not be late for school.
General
2 months ago
A silo (base not included ) is to be constructed in the form of a cylinder surmounted by a hemisphere. The cost of construction per square unit of surface area is 5 times as great fit the hemisphere as it is for the cylindrical sidewall. Determine the dimensions to be used if the volume is fixed at 8,000 cubic units and the cost of construction is to be kept at minimum. Neglect the thickness of the silo and waste in construction. I have the function of the cost as C=(16000/r) + (26pi r^2 /3) It is now asking for the interval of interest. ..in interval notation. I can see that it can't be zero so I have (0,__] , but I have no idea how to find end point on the interval of interest. Please please please help!
General
2 months ago
Let w be the set of all vectors ⎡⎣⎢xyx+y⎤⎦⎥ with x and y real. find a basis of w⊥.
General
2 months ago
Find the value of the following expression:(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28 Write your answer in simplified form. Show all of your steps.
General
2 months ago
Which of the expressions below cannot be rewritten using the associative property? A. 12 * (17 * 1) B. 13 + 2 + 7 C. (15 + 4) + 10 D. (3 / 6) * 10
General
2 months ago
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