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el diseño de un teatro consta de 27 sillas en la primera fila , 32 en la segunda, 37 en la tercera y asi sucesivamente. se sabe que el teatro tiene 10 filas.
¿ cuantas sillas tiene el teatro?

Basic facts and techniques of Boats and Streams of Quantitative Aptitude Boats and Streams is a part of the Quantitative aptitude section. This is just a logical extension of motion in a straight line. One or two questions are asked from this chapter in almost every exam. Today I will tell you some important facts and terminologies which will help you to make better understanding about this topic.

Simplification Basic Concepts with Examples Simplification is very easy and important topic according to banking, SSC and other govt. exam perspective. Simplification is based on basic math calculations and some other algebraic topics. Simplification is less time consuming and having higher accuracy.

A linear regression was performed on a bivariate data set with variables x and y. Analysis by a computer software package included the following outputs:
Sample Size: $n=15$
Regression Equation: $y\hat{e}=0.359-1.264x$
Coefficient of Determination: r square = 0.915
Sums of Squares :$SSy=35.617.SSex=32.589,SSresid=3.028$
a. Calculate the standard error Se.
b. write a sentence interpreting the value of rsquare.
c.What is the value of Pearsons

For Questions I&5, use dimensional analysis witt need unit equivalences from this section and fror 1. How many miles is a 10-kilometer race?

A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new thermostats hold temperatures at an average of ${25}^{\circ }F$. However, it is hoped that the new thermostat might be more dependable in the sense that it will hold temperatures closer to ${25}^{\circ }F$. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 5.1. Another similar frozen food case was equipped with the old thermostat, and a random sample of 19 temperature readings gave a sample variance of 12.8. Test the claim that the population variance of the old thermostat temperature readings is larger than that for the new thermostat. Use a $5\mathrm{\%}$ level of significance. How could your test conclusion relate to the question regarding the dependability of the temperature readings? (Let population 1 refer to data from the old thermostat.)
(a) What is the level of significance?
State the null and alternate hypotheses.
$H0:{?}_1^2={?}_2^2,H1:{?}_1^2>{?}_2^{2}H0:{?}_1^2={?}_2^2,H1:{?}_1^2\ne {?}_2^{2}H0:{?}_1^2={?}_2^2,H1:{?}_1^2<{?}_2^{2}H0:{?}_1^2>{?}_2^2,H1:{?}_1^2={?}_2^2$
(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)
What are the degrees of freedom?
$d{f}_N=?$
$d{f}_D=?$
What assumptions are you making about the original distribution?
The populations follow independent normal distributions. We have random samples from each population.The populations follow dependent normal distributions. We have random samples from each population.The populations follow independent normal distributions.The populations follow independent chi-square distributions. We have random samples from each population.
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.)
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
(e) Interpret your conclusion in the context of the application.
Reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings.Fail to reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings. Fail to reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.Reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.

Evaluate the expression ${\displaystyle \frac{\sqrt{-6}}{\sqrt{-3}\sqrt{-4}}}$ and write the result in the form a+bi

Round 98 to the nearest ten.

Let A={1, 2, 3, 4, 5, 6, 7, 8, 9}
a) If five integers are selected from A, must at least one pair of the integer have a sume of 9?

Find the median of -4, 11, -12, 11, and -7.

a student is speeding down route 11 in his fancy red Porschewhen his radar system warns him of an obstacle 400 ft ahead. heimmediately applies the brakes, starts to slow down and spots askunk in the road directly ahead of him. the "black box" in thePorsche records the cars

Interpreting Power For the sample data in Example 1 “Adult Sleep” from this section, Minitab and StatCrunch show that the hypothesis test has power of 0.4943 of supporting the claim that $\mu <7$ hours of sleep when the actual population mean is 6.0 hours of sleep. Interpret this value of the power, then identify the value of beta and interpret that value. (For the t test in this section, a “noncentrality parameter” makes calculations of power much more complicated than the process described in Section 8-1, so software is recommended for power calculations.)

A racquetball strikes a wall with a speed of 30 m/s and rebounds with a speed of 26 m/s. The collision takes 20ms. What is the average acceleration of the ball during collision?
a) 62
b) 50
c) 66
d) 54
e) 58

A jetliner can fly 6.00 hours on a full load of fuel. Without wind it flies at a speed of 2.40 X 102m/s. The planes to make a round-trip by heading due west for a certain distance,turning around, and then heading due east for the return trip.During the entire flight, however, the place encounters a 57.8 m/s wind from the jet stream, which blows from west to east. What is the maximum distance that the plane can travel due west and just be able to return home ?

Below is data collected from the growth of two different trees over time. Each tree was planted in 1960, and the trees

Ten public school students had the following scores on their standardized reading test (scores are out of 500):
410, 450, 435, 375, 395, 255, 290, 105, 410, 385
(a) Compute the mean, median, and mode of this data.
(b) Compute the first and third quartiles for the data.
(c) What do you think is the best measure of center: the mean, median, or mode of the data? Justify your answer.

How many zeros does a million and billion have. What is the equivalent lakhs and crore value of million and billion?

Replacement of paint on highways and streets represents a large investment of funds by state and local governments each year. A new, cheaper brand of paint is tested for durability after one month’s time by reflectometer readings. For the new brand to be acceptable, it must have a mean reflectometer reading greater than 19.6. The sample data, based on 35 randomly selected readings, show $x=19.8ands=1.5$. Do the sample data provide sufficient evidence to conclude that the new brand is acceptable? Conduct hypothesis test using $a=.05$. Use the traditional approach and the p-value approach to hypothesis testing! Show all of the steps of the hypothesis test for each approach.

Explain the difference between the gauge and bullet graph, and write the advantages and disadvantages of each graph.

Given any two numbers, which is greater, the LCM of the numbers or the GCF of the numbers? Why?