In a talent show with 8 acts, find the probabilities of: A) singer first, comedian second, dancer third, pianist fourth; B) any order of pianist, comedian, dancer, juggler in first four. Provide answers as simplified fractions.
P(A)=P(B)=
Calculate the state income tax owed on an \80,000salaryusingthefollowingrates:2%for$0−3000,3%for$3001−5000,5%for$5001−17000,and5.75%for$17,001andup.tax=$[?]$
Find the equation to determine when the car rental costs are equal: A. 40.49d=31.49d B. 24.5+15.99d=27.5+3.99d C. 27.5d+15.99=24.5d+3.99 D. 24.5d+15.99=27.5d+3.99
Find the total thickness of a beam made of 5 boards, each 143 inches thick. What is the total thickness?
A. 443 inches
B. 6 inches
C. 7 inches
D. 721 inches
E. 843 inches
What is the distance between the handle and the blade if company policy requires it to be 121 times 7 inches?
A. 721 inches
B. 821 inches
C. 9 inches
D. 1021 inches
E. 11 inches
How much length should you add to a pipe if the joint is 321 inches and the pipe extends 41 into it?
F. 41 inch
G. 87 inch
H. 181 inches
J. 141 inches
K. 143 inches
|The following bivariate data set contains an outlier.
\begin{tabular}{|r|r|}
\hline \multicolumn{1}{|c|}{x} & \multicolumn{1}{c|}{y} \\
\hline 17.7 & 345.8 \\
\hline 23.1 & -180.9 \\
\hline 31 & -615.6 \\
\hline-7.7 & 164.1 \\
\hline 47.6 & 304.4 \\
\hline 11.2 & 106 \\
\hline 22.1 & -362.4 \\
\hline 1.7 & -100.7 \\
\hline 32.9 & -296.7 \\
\hline 52.9 & 307.9 \\
\hline 37.8 & -902.3 \\
\hline 22.9 & -530.8 \\
\hline 48.6 & 420 \\
\hline 48.7 & -75.1 \\
\hline 234.7 & 4386.9 \\
\hline
\end{tabular} What is the correlation coefficient with the outlier?
rw=□ [Round your answer to three decimal places.] What is the correlation coefficient without the outlier?
rwo=□ [Round your answer to three decimal plades.] Would inclusion of the outlier change the evidence for or against a linear correlation?
Yes. Including the outlier changes the evidence regarding a linear correlation.
No. Including the outlier does not change the evidence regarding a linear correlation.
All Bookr Graph the function and its reflection about the y-axis on the same axes, and give the y-intercept.
f(x)=5(41)x Clear All
Draw: □ The y-intercept is □ . (Enter an ordered pair.)
Question 1 (1 point)
Give an equation for a transformed sine function with an amplitude of 21, a period of 25, a phase shift of 23 rad to the right, and a vertical translation of 1 unit down.
a) y=0.5sin[0.8π(x−1.5)]−1
b) y=0.5sin[0.8(x−1.5)]−1
c) y=0.5sin[0.8(x+1.5)]−1
d) y=0.5sin[0.8π(x+1.5)]−1
Suppose T:R2→R3 is a linear transformation. Three vectors u1,u2 and u3 are given below together with their images by T. Find T(w) for the given vector w.
u1=[22]u2=[−6−6]u3=[23]w=[−10−13]T(u1)=⎣⎡208−16⎦⎤T(u2)=⎣⎡−60−2448⎦⎤T(u3)=⎣⎡2511−21⎦⎤T(w)=⎣⎡000⎦⎤
SUBMIT AND MARK
16. The acceleration due to gravity on Earth is 9.8m/s2. A ball is thrown upward at an initial velocity of 15m/s from a height of 1 m above the ground. Round answers to the nearest tenth.
a) Write an equation for the height of the ball.
b) What is the height of the ball after 1 s ?
c) After how many seconds does the ball land?
d) What is the maximum height of the
20.
ball? When does this occur?
e) Repeat parts a) to d) for a ball thrown on the Moon, where g=1.62m/s2.
f) Repeat parts a) to d) for a ball thrown on Jupiter, where g=23.1m/s2.
Find the product, if possible.
⎣⎡15−5⎦⎤[1−45−1−85] Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The product is □
B. The product is not defined.
(x+4)(x−5)=−16 The solution set is □ \}.
(Type an exact answer, using radicals as needed. Use integers or fractions for numbers in the expression. Use a comma to separate answers as needed.)
A research study was conducted about gender differences in "sexting." The researcher belleved that the proportion of girls involved in "sexting" is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is out of 2231 males, 183 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1\% level of significance.
a) If we use B to denote the boys and G to denote the girls, identify the correct alternative hypothesis.
H1:pB=pGH1:pB<pGH1:pB>pG
b) Determine the test statistic. Round to two decimals.
z=⋅□
c) Find the phalue and round to 4 decimals.
p=□
d) Make a decision.
Reject the null hypothesis
Fail to reject the null hypothesis
e) Write the conclusion.
There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys.
There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys.
A scientist begins with 110 milligrams of a radioactive substance that decays exponentially. After 39 hours, 55 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest tenth.
□ mg