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Which relationship in the triangle must be true? Triangle A B C is shown. Angle A C B is a right angle. The length of side C B is a, the length of side A C is b, and the length of side A B is c. Sin(B) = sin(A) sin(B) = cos(90 – B) cos(B) = sin(180 – B) cos(B) = cos(A)
General
5 months ago
Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance CHANGED BY -$2175 from payments made on her car loan. What is the change in Ms. Thomas’ savings account balance each month due to her car payment?
General
5 months ago
The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is approximately 40,000. Suppose, instead, that at both schools a simple random sample of about 3% of the undergraduates will be taken. What can we conclude about the sampling variability for the sample proportion from Johns Hopkins as compared to that from Ohio State?- The sample proportion from Johns Hopkins will have less sampling variability than that from Ohio State.- The sample proportion from Johns Hopkins will have more sampling variability than that from Ohio State.- The sample proportion from Johns Hopkins will have about the same sampling variability as that from Ohio State.- It is impossible to make any statements about the sampling variability of the two samples because the students surveyed were different.
General
5 months ago
The city of Raleigh has 9500 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 105 said they'd vote for Brown, 235 said they'd vote for Feliz, and 10 were undecided. What is the population of this survey?
General
5 months ago
Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8(a)-He wrote commutative instead of distributive in Step 4.(b)-He wrote commutative instead of distributive in Step 2.(c)-He wrote commutative instead of associative in Step 4.(d)-He wrote commutative instead of associative in Step 2.
General
5 months ago
The lifetimes of a certain type of light bulbs follow a normal distribution. If approximately 2.5% of the bulbs have lives exceeding 445 hours, and approximately 16% have lives exceeding 393 hours, what are the mean and standard deviation of the lifetimes of this particular type of light bulbs? Round your answer to the nearest integer. Mean = hours Tries 0/5 Standard deviation = hours
General
5 months ago
Suppose a life insurance company sells a $270 comma 000 one-year term life insurance policy to a 19-year-old female for $270. The probability that the female survives the year is 0.999519. Compute and interpret the expected value of this policy to the insurance company.
General
5 months ago
I graduated from high school and received $1500 in gifts from familyand friends. You also received scholarships in the amount of $800. If you depositthe total amount received into a 24-month CD at 5.5% compounded daily, howmuch will you receive at the end of 24 months?b. How much interest did you earn on the investment?
General
5 months ago
Explain why rational exponenets are not defined when the denominator of the exponent in lowest terms is even and the base is negative.
General
5 months ago
3) y = (x - 2)² + 1
General
5 months ago
Explain to your classmates the purpose of a critical value. What is it used for? Also, explain the difference in a one-tail test and two-tailed test. What causes these to be different and where would you use a one-tail test instead of a two-tailed test? Significance leads to the importance of testing. What is the purpose of the null hypothesis? What is the purpose of the alternative hypothesis? Explain what inferences or decisions you are able to make and not make from the tes
General
5 months ago
For each year t, the population of a forest of trees is represented by the function A(t)= 115(1.025)^t. In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)^t. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years? By how many?
General
5 months ago
State DMV records indicate that of all vehicles undergoing emissions testing during the previous year, 70% passed on the first try. A random sample of 200 cars tested in a particular county during the current year yields 124 that passed on the initial test. Does this suggest that the true proportion for this county during the current year differs from the previous statewide proportion? Test the relevant hypotheses using a ¼ .05.
General
5 months ago
A relief worker needs to divide 900 bottles of water and 324 cans of food into groups that each contain the same number of items. Also, each group must contain the same type of item (bottled water or canned food). What is the largest number of relief supplies that can be put in each group?
General
5 months ago
A lumber company is making boards that are 2867.02867.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 2525 is made, and it is found that they have a mean of 2865.82865.8 millimeters with a standard deviation of 8.08.0. A level of significance of 0.050.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
General
5 months ago
A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minutes Write an equation to represent the distance the car travels,d, in the miles for h hours
General
5 months ago
HURRY ILL GIVE U BRAINLIEST! Select the correct answer.Which statement is true?A. The numbers on a horizontal number line are oriented from right to left.B. The numbers on a vertical number line are oriented from top to bottom.C. The numbers on a horizontal number line are oriented from left to right.D. The numbers on a vertical number line are oriented from right to left.
General
5 months ago
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).What is an equivalent equation solved for y2?y2 = mx2 – x1 + y1y2 = mx2 – x1 – y1y2 = m(x2 – x1) + y1y2 = m(x2 – x1) – y1
General
5 months ago
Abnormalities In the 1980s, it was generally believed that congenital abnormalities affected about 5% of the nation’s chil-dren. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the inci-dence of abnormalities. A recent study examined 384 children and found that 46 of them showed signs of an abnormality. Is this strong evidence that the risk has increased? a) Write appropriate hypotheses. b) Check the necessary assumptions and conditions.
General
5 months ago
A simple random sample of size 28 has mean x=7.26. g The population standard deviation is σ=3.72. The population is normally distributed. Can you conclude that the population mean differs from 40? Determine the parameter to be tested.
General
5 months ago
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