Improve Your Algebra Skills with Practice Problems

The Manitou Incline, which leads to the top of Pike's Peak in Colorado, climbs from an elevation of 6574 feet to 8585 feet above sea level. The fastest reported time for running up the incline is 16 minutes and 42 seconds, by Mike Fretta. How many vertical feet per second did Mark climb during his record-breaking performance? (Round to 1 decimal digit.)

2.37 - (-1.55) - 2.48

An elevator ride down Steven stories

Among 25- to 30-years-olds, $28\mathrm{\%}$ say they have operated heavy machinery while under the influence of alcohol Suppose three 25- to 30-years-olds are selected at random. Complete psrts (a) through (d) below:
a) What is the probability that all three have operated heavy machinery while under the influence of alcohol?
b) What is the probability that at least one has not haavy operated heavy machinery while under the influence of alcohol?
c) What is the probability that none of three have operated heavy machinery while under the influence of alcohol?
d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol?

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.

To solve: ${\displaystyle 70=y-22.81}$

Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. arcsin ${\displaystyle \left(0.25\right)\approx ?}$ radians

The total amount to stage an event was 1300.00. Person A spent 175.00 Person B spent 440.00 Person C spent 700.00 and Person D 0.00. What is the fair equal distribution of money

An electrical light circuit in John's welding shop had a load of 2800 watts. He changed the circuit to ten 150-watt bulbs and six 100-watt bulbs. What fraction represents a comparison of the new load with the old load?

Find the equation $5+6$

Simon is making wreaths to sell. He has 60 bows, 36 silk roses, and 48 silk carnations. He wants to put the same number of items on each wreath. All the items on a wreath will be the same type. How many items can Simon put on each wreath?

${\displaystyle \frac{\frac{5}{7}}{\frac{5}{6}}}$

Find ${\displaystyle \frac{3}{7}of28}$

Which expression below is equivalent to $(9x-4)+13(3x-2)$?

(A) $9x+26$

(B) $48x-30$

(C) $39x-26$

(D) $48x+30$

For the given fraction and decimals we have to write its equivalent percent. Given fractions are ${\displaystyle a)\frac{3}{25}b)\frac{1}{5}c)\frac{2}{5}}$ And the decimals are, ${\displaystyle d)0.01,e)4.06,f)0.6}$ We have to find its equivalent percent.

Approximate each expression correct to 4 decimals. ${\displaystyle a)5^{\frac{3}{5}}b)-3^{\sqrt{6}}c)7^{-2.356}}$

Tricks to solve Ratio and Proportion Problems Today Im

Fill in the bla
. The imaginary unit i is defined as i = _______ , where i2i
= _______ .

factor in determining the usefulness of an examination as a measure of demonstrated ability is the amount of spread that occurs in the grades. If the spread or variation of examination scores is very small, it usually means that the examination was either too hard or too easy. However, if the variance of scores is moderately large, then there is a definite difference in scores between "better," "average," and "poorer" students. A group of attorneys in a Midwest state has been given the task of making up this year's bar examination for the state. The examination has 500 total possible points, and from the history of past examinations, it is known that a standard deviation of around 60 points is desirable. Of course, too large or too small a standard deviation is not good. The attorneys want to test their examination to see how good it is. A preliminary version of the examination (with slight modifications to protect the integrity of the real examination) is given to a random sample of 20 newly graduated law students. Their scores give a sample standard deviation of 70 points. Using a 0.01 level of significance, test the claim that the population standard deviation for the new examination is 60 against the claim that the population standard deviation is different from 60.
(a) What is the level of significance?
State the null and alternate hypotheses.
$H_0:\sigma =60$

$H_1:\sigma <60H_0:\sigma >60$

$H_1:\sigma =60H_0:\sigma =60$

$H_1:\sigma >60H_0:\sigma =60$

$H_1:\sigma \ne 60$
(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original distribution?
We assume a binomial population distribution.We assume a exponential population distribution. We assume a normal population distribution.We assume a uniform population distribution.

A certain scale has an uncertainty of 3 g and a bias of 2 g. a) A single measurement is made on this scale. What are the bias and uncertainty in this measurement? b) Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? c) Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? d) As more measurements are made, does the uncertainty get smaller, get larger, or stay the same? e) As more measurements are made, does the bias get smaller, get larger, or stay the same?