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The two tables below show the success rates of several groups of businesses in a certain city. The first shows the number of businesses of several types started in Sharon’s city over the course of two years, and the number of those businesses which did not succeed and were forced to shut down within two years of opening. The second deals with separate records of successful new businesses, showing how much profit those new businesses turned over two years. Businesses on the boundary lines fall in the lower category. Type Food Retail Financial Service Opened 3,193 2,280 1,898 5,045 Closed 1,977 1,626 1,443 3,548 Up to $25k $25-50k $50-75k $75-100k Over $100k Food 945 623 601 258 114 Retail 813 548 347 188 63 Financial 316 244 195 86 51 Service 979 739 432 174 124 Using the tables as experimental data, determine which of the following situations have a probability of at least 15.00%. I. a food establishment succeeding and earning $50,000 or more II. a service establishment succeeding and earning between $25,000 and $75,000 III. a retail establishment succeeding and earning no more than $50,000 a. I only b. I and II c. II and III d. III only
General
2 months ago
Roman stands across from a flag pole.What is the distance from Roman's feet to the base of the flag pole?Round only your final answer to the nearest tenth.https://learning.k12.com/d2l/common/viewFile.d2lfile/Database/MTM5NDQzMDQ/test%20-%20quest%205.JPG?ou=373236
General
2 months ago
Consider the proof. Given: In △ABC, BD ⊥ AC Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A) Statement Reason 1. In △ABC, BD ⊥ AC 1. given 2. In △ADB, c2 = x2 + h2 2. Pythagorean thm. 3. In △BDC, a2 = (b – x)2 + h2 3. Pythagorean thm. 4. a2 = b2 – 2bx + x2 + h2 4. prop. of multiplication 5. a2 = b2 – 2bx + c2 5. substitution 6. In △ADB, cos(A) = 6. def. cosine 7. ccos(A) = x 7. mult. prop. of equality 8. a2 = b2 – 2bccos(A) + c2 8. ? 9. a2 = b2 + c2 – 2bccos(A) 9. commutative property What is the missing reason in Step 8?
General
2 months ago
The rest of the students in the play are from Mr. Logan’s class and Ms. Gardner’s class. Mr. Logan has 23 students in his class, and 7 of them are in the play. There are 4 more students from Ms. Gardner’s class than from Mrs. Cho’s class in the play. The number of students in the play from Mr. Logan’s class is greater than the number from Mrs. Cho’s class and fewer than the number from Ms. Gardner’s class. In all, 30% of the students in these three classes are in the play.Show or explain why there must be exactly 23 students in Ms. Gardner’s class. As part of the explanation, determine how many students from Ms. Gardner’s class are in the play.
General
2 months ago
the product of two rational numbers
General
2 months ago
Roberto's toy car travels at 40 centimeters per second (cm/sec) at high speed and 25 cm/sec at low speed. If the car travels for 30 seconds at high speed and then 51 seconds at low speed, what distance would the car have traveled?
General
2 months ago
An old-fashioned method of saving money is to stuff it in your mattress or hide it in a cookie jar on the top shelf of your closet. But most financial consultants will argue against this method of saving your money. Why? Give an example of a better solution to saving money that might be advised by a financial consultant.
General
2 months ago
Analyze the key features of the graphs of the functions below. Select all of the quadratic functions that open down, have a vertex that is a maximum and a positive y-intercept. The Choices are F(x)=2x^2-4x-3G(x)= -x^2+x+1H(x)= -2x^2+3x-1M(x)=x^2-9N(x)= -3x^2+7
General
2 months ago
If the APY of a savings account is 5.3%, and if the principal in the savings account is $5100 for an entire year, what will be the balance of the savings account after all the interest is paid for the year? A. $5300.00 B. $5127.03 C. $5100.00 D. $5370.30
General
2 months ago
Which expressions are equivalent to the one below? Check all that apply. 9x
General
2 months ago
Which of the following describes the transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x
General
2 months ago
HELP PLEASE! FAST!! 1.Quadrilateral ABCD is inscribed in this circle.What is the measure of angle B?2. Quadrilateral ABCD is inscribed in this circle.What is the measure of angle A?3. Quadrilateral ABCD is inscribed in this circle.What is the measure of angle C?IF YOU DO NOT KNOW, DO NOT ANSWER JUST FOR POINTS. YOU WILL BE REPORTED.
General
2 months ago
A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes. This depth is represented by the numerical expression: -200 + 121 3 (4.5) Simplify the expression using the order of operations. What is the diver’s depth? -200 + 37 3 (4.5) -200 + 55.5
General
2 months ago
For f(x) = 3x +1 and g(x) = x2 – 6, find (f – g)(x). A. x2 – 3x – 7 B. –x2 + 3x + 7 C. –x2 + 3x – 5 D. 3x2 – 17
General
2 months ago
The top of a rectangular table has an area of 100 square feet and width of 5 feet. What is the length in feet of the surface
General
2 months ago
n quadrilateral LMNO, LO ∥ MN. What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply. ML ∥ NO ML ⊥ LO LO ≅ MN ML ≅ LO MN ⊥ NO
General
2 months ago
Which of the quadratic functions has the narrowest graph? Y = 1/6x^2, y = 2x^2, y = -x^2, y = 1/8x^2
General
2 months ago
Select the correct answer from each drop-down menu.ABCD is a parallelogram.MMM
General
2 months ago
In a statistics class there are 11 juniors and 6 seniors; 2 of the seniors are females; 6 of the juniors are males. if a student is selected at random, what is the probability that the student is either a junior or a female? enter your answer as a fully reduced fraction.
General
2 months ago
Does the point (2 3 , 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Why?
General
2 months ago
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