Redefine a problem statement about hypothesis testing for the mean price of existing single-family homes. State the null and alternative hypotheses, and explain the meanings of Type I and Type II errors. Null hypothesis: Mean price = 243,712.Alternativehypothesis:Meanprice=243,712.
Type I error: Rejecting the null hypothesis when it is true.
Type II error: Failing to reject the null hypothesis when it is false.
Find the rate of return when 20 shares of Stock A, purchased for $20/ share, are sold for $490 with a $6 commission. Round the rate of return to the nearest tenth percent.
Find the distance between the given points using the distance formula. Round to the nearest hundredth.
9) (0,3) and (4,−9): (4−0)2+(−9−3)2≈12.04
12) (−1,5) and (4,5): (4−(−1))2+(5−5)2=5
10) (−6,16) and (11,−2): (11−(−6))2+(−2−16)2≈19.08
13) (14,2) and (−2,−2): (14−(−2))2+(2−(−2))2≈16.12
11) (−8,7) and (10,4): (10−(−8))2+(4−7)2≈18.03
14) (−5,6) and (−5,7): (−5−(−5))2+(7−6)2=1
Kareem buys a 32-oz yogurt for $2.56, Jonah buys a 6-oz yogurt for $0.48. Are the cost y and amount x proportional? Write an equation to represent this.
Find the probability that a randomly selected 8th grade student in the School of Rock plays the keyboard, expressed as a simplified fraction. \text{Probability} = \frac{\text{# of 8th grade keyboard players}}{\text{Total # of 8th grade students}}
Find the water level y (cm) after 18 minutes, given the pool fills 17 cm in 6 minutes. Use slope to solve for y. The rate of change is 617 cm/min. Solving 617t=y for y when t=18 gives y=251.
Find unit rates for distances, time, and quantities given in fractions.
a) 202.5 miles in 15 hours
b) 85 feet in 20 seconds
c) 42 books for 12 students
d) 65 children from 13 families
Find the total number of possible car choices given 4 body styles, 5 colors, and 6 models. Simplified statement: Calculate the total number of car choices with 4 body styles, 5 colors, and 6 models.
Calculate the cost per pound of a 75 oz pasta flour sold for $4.59. Round answer to 2 decimal places. Step 1: Calculate the cost per ounce.
Cost per ounce=75 oz$4.59 Step 2: Convert the cost per ounce to cost per pound.
Cost per pound=75 oz$4.59×16 oz/lb
Find the number of hours Will practiced guitar last week given that Chichi practiced 14 hours and spent 6 more hours than Will. x, the number of hours Will practiced guitar last week.
Andy needs 25 feet of wire, and Emily needs 15 yards. Find the cost for each person using the given wire cost table. Andy's cost: y=5.40 for x=180 inches
Emily's cost: y=5.40 for x=540 inches
Determine the equation that represents the window washer's earnings based on the number of windows washed. The correct answer is: totalearnings=4×numberofwindowswashed.
Determine the number of children who go sailing on Sunday given the ratio of girls to boys and the proportions of each group participating in sailing or climbing. Given:
- Total children: 5120
- Ratio of girls to boys: 3:5
- Proportion of boys going climbing: 2516
- Twice as many girls go sailing as go climbing
Find the standard form, degree, and constant term of the polynomial function g(x)=x(4x−5)(x+2). Standard form: g(x)=x3−x2−10x
Degree: 3
Constant term: -10
Find the equation of a line with slope -9 passing through the point (1,-3) in slope-intercept form, expressing the answer using integers, proper fractions, and improper fractions in simplest form. y=mx+b, where m=−9 and the point (1,−3) satisfies the equation.