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−9x+2>18 OR 13x+15≤−4
General
4 months ago
The average US woman wears 515 chemicals on an average day from her makeup and toiletries. A random sample from California found that on average the California woman wears 325 chemicals per day with a standard deviation of 90.5.Which hypothesis test should be used to determine whether the sample contains less than the US average of wearing 515 chemicals per day?a. t-test for the population meanb. z-test for the population meanc. z-test for the population proportiond. t-test for the population proportion
General
4 months ago
Consider the system of differential equations dxdt=−5ydydt=−5x. Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=1 and y(0)=3, what are x and y? x(t)= equation editorEquation Editor y(t)= equation editorEquation Editor
General
4 months ago
Consider a triangle with vertices at (0,0) and (x1, 71) and (x2, 92). a. Use the interpretation of a determinant as area of a parallelogram to explain why the following formula calculates the area of the triangle. (Hint: A diagonal of a parallelogram cuts the parallelogram into two triangles of equal size A =\det (i 2) b. Set (x1, y.) = (1,2) and (x2,Y2) = (3,-1). Use the formula to calculate the area of the triangle.
General
4 months ago
An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%, 77%, and 81% on the first three exams, what must he score on the fourth test to maintain a 70% or better average.
General
4 months ago
DDT is a pesticide banned in the United States for its danger to humans and animals. In an experiment on the impact of DDT, six rats were exposed to DDT poisoning and six rats were not exposed. For each rat in the experiment, a measurement of nerve sensitivity was recorded. The researchers suspected that the mean nerve sensitivity for rats exposed to DDT is greater than that for rats not poisoned. The data is displayed. Poisoned rats 12.207 16.869 25.050 22.429 8.456 20.589 Unpoisoned rats 11.074 9.686 12.064 9.351 8.182 6.642 Let μ 1 be the mean nerve sensitivity for rats poisoned with DDT. Let μ 2 be the mean nerve sensitivity for rats not poisoned with DDT. The P ‑value for this test was between 0.01 and 0.05. Which statement is a reasonable conclusion?
General
4 months ago
When 3010 adults were surveyed in a poll, 27% said that they use the Internet. Is it okay for a newspaper reporter to write that "1 divided by 4 of all adults use the Internet"? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.The test statistic is z = ?. (Round to two decimal places as needed.)The P-value is ?. (Round to four decimal places as needed.)Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. (Assume a 0.05 significance level.)
General
4 months ago
In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated. Is it possible to claim that most of the seed will germinate? Consider a confidence level of 95%.
General
4 months ago
The top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. If the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area.
General
4 months ago
Suppose a country has a population of 50 million and projects a growth rate of 4% per year for the next 20 years. What will the population of this country be in 11 years? (Round your answer to two decimal places.)
General
4 months ago
In the triangle below, 4/5 represents which ratio?
General
4 months ago
1.) A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone? A.) 2cm B.) 3cm C.) 4cm D.) 5cm 2.) A cylinder with a radius of 1cm and a height of 21cm has the same volume as a cone with a height of 7cm. What is the radius of the cone? A.) 3cm B.) 5cm C.) 7cm D.) 9cm
General
4 months ago
Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end of the five-year loan term?total amount = P (1 + i)t$19,500.25$15,900.50$20,073.50
General
4 months ago
A prism with a volume of 3125 ft³ is scaled down to a volume of 200 ft³.What is the scale factor? Enter your answer, as a decimal or a fraction in simplest form, in the box.I think it's 2/5 or 0.4
General
4 months ago
Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $1,575/month. The interest rate for the mortgage is 4.65%. What must their realized income be before each month?Be sure to include the following in your response:the answer to the original questionthe mathematical steps for solving the problem demonstrating mathematical reasoning
General
4 months ago
In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians.What is the arc length?Use 3.14 for π .
General
4 months ago
A new car depreciates at a rate of 15% per year. What is the expected value of a $25,000 car after 5 years (rounded to nearest whole dollar)?
General
4 months ago
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
General
4 months ago
PLEASE HELPS NEED THIS DONE BEFORE 3 O CLOCK 1)Jerome noticed the following house numbers on his street:305, 318, 331, 344The house numbers follow a pattern. Which expression can be used to determine the nthnth house number on his street?A) 292 +13nB) 292nC) 292n + 13D) 13(n + 292)2) A polynomial expression is shown below.(mx+8)(2x−4)The expression is simplified to:−6x2+28x−32-6x2+28x-32What is the value of m?A) 3B) 4C) -3D) -43) What is the domain of the function shown below? (PICTURE AT BOTTOM)A) 2B) −8 ≤ x <3and 4 ≤ x <8C) −8 ≤ x < 8D) −7 ≤ x ≤ 7
General
4 months ago
Jonathan bought a new computer for $1,716, using the electronics store's finance plan. He will pay $143 a month for 12 months. Which equation can Jonathan use to find out how much money he still owes after each month of the plan?
General
4 months ago
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