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Explain the properties and the processes you have to use to solve the following logarithmic equation: log base 3 of x + log base 3 of 4 - 2log base 3 of 3 = 2
General
3 months ago
42 = -7 (z - 3)z = ?
General
3 months ago
The student council is planning an activi night to raise money.The student council will charge 5$ per student to attend activity night. Part a write an expression that can be used to calculate the for number of students.Part b the cost to rent is $200 the council has a goal to raise $350 after paying rental. How many student will need to attend activity night for stundents council to pay rental and reach there goal
General
3 months ago
Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 6, ST = 9, TU = 7, UV = 15, and VR = 14?A. 3B. 10C. 4.5D. 1.5
General
3 months ago
Which inequalities are equivalent to n+15 <22? Select three options.On+15-15<22-15On+15<22-15On+15-22 <22-22On+15+6 <22+6On+ 15-22 <22PLEASE HELP
General
3 months ago
A tire company guarantees that a particular brand of tire has a mean useful lifetime miles or more. A consumer testing agency sampled n = 10 tires on a test wheel that simulated conditions. The sample mean lifetimes (in thousands of miles) were as follows: 42 36 46 43 41 35 43 45 40 39 Construct a 98% CI for the mean lifetime of this particular brand of tire.
General
3 months ago
You saved $300 to spend over the summer. You decide to budget $50 tospend each weekPart A Write an equation that represents this situation.Part B: Represent the situation on the graph below.Part C: What is the slope of the line? What does the slope representaPart D: What is the y-intercept? What does this point represent?
General
3 months ago
Suppose a researcher is testing the hypothesis Upper H 0: pequals0.4 versus Upper H 1: pless than0.4 and she finds the P-value to be 0.33. Explain what this means. Would she reject the null hypothesis? Why? Choose the correct explanation below. A. If the P-value for a particular test statistic is 0.33, she expects results no more extreme than the test statistic in about 33 of 100 samples if the null hypothesis is true. B. If the P-value for a particular test statistic is 0.33, she expects results no more extreme than the test statistic in exactly 33 of 100 samples if the null hypothesis is true. C. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in about 33 of 100 samples if the null hypothesis is true. D. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true. Choose the correct conclusion below. A. Since this event is unusual, she will reject the null hypothesis. B. Since this event is not unusual, she will reject the null hypothesis. C. Since this event is unusual, she will not reject the null hypothesis. D. Since this event is not unusual, she will not reject the null hypothesis.
General
3 months ago
Write the equation in standard form for the circle with center (4,0) passing through 4,(11/2).
General
3 months ago
I’m stuck here please help !!!
General
3 months ago
A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides. Find the value of h that maximizes the volume of the box ifA = 7 and B = 12
General
3 months ago
The random variable X is normally distributed with mean 5 and standard deviation 25. The random variable Y is defined by Y = 2 + 4X. What are the mean and the standard deviation of Y ? The mean is 20 and the standard deviation is 102. A) The mean is 20 and the standard deviation is 50. B) The mean is 22 and the standard deviation is 102. C) The mean is 22 and the standard deviation is 100. D) The mean is 22 and the standard deviation is 50.
General
3 months ago
How much money should be deposited today in an account that earns 7% compounded semiannually so that it will accumulate to $11,000 in three years?The amount of money that should be deposited is $ N(Round up to the nearest cent.)
General
3 months ago
On a recent day, 8 euros were worth $9 and 24 euros were worth 27.
General
3 months ago
A recent study was conducted to determine the curing efficiency (time to harden) of dental composites (resins for the restoration of damaged teeth) using two different types of lights. Independent random samples of lights were obtained and a certain composite was cured for 40 seconds. The depth of each cure (in mm) was measured using a penetrometer. The summary statistics for the Halogen light were n_1 = 10, x_1 = 5.35, and s_1 = 0.7. The summary statistics for the LuxOMax light were n_2 = 10, x_2 = 3.90, and s_2 = 0.8. Assume the underlying populations are normal, with equal variances. a. The maker of the Halogen light claims that they produce a larger cure depth after 40 seconds than LuxOMax lights. Is there any evidence to support this claim? Use alpha = 0.01. b. Construct a 99% confidence interval for the difference in population mean cure depths.
General
3 months ago
A sample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation. If a bigger sample had been used instead, then the 95% confidence interval would have been ________ and the probability of making an error would have been ________.
General
3 months ago
An appliance dealer sells three different models of upright freezers having 14.5, 16.9, and 19.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution.x p(x)14.5 .216.9 .519.1 .3(a) Calculate the mean and standard deviation of x.(b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x - 8.5, what is the mean value of the variable Price paid by the next customer?(c) What is the standard deviation of the price paid?
General
3 months ago
What probability should be assigned to the outcome of heads when a biased coin is tossed, if heads is three times as likely to come up as tails? What probability should be assigned to the outcome of tails?
General
3 months ago
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 6 18 3 27 Female 13 20 12 45 Total 19 38 15 72 If one student is chosen at random, If one student is chosen at random,Find the probability that the student got a B: Find the probability that the student was female AND got a "C": Find the probability that the student was female OR got an "B": If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:
General
3 months ago
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal. Since both ơ and sx are given, which should be used? O σ O sx In one to two complete sentences, explain why?
General
3 months ago
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