Questions

Determine the DNA purity ratio of the next samples and explain if we would typically consider this to be a pure sample or not 0 45 8 Sample A OD260 0 76 and OD 280 9 Sample B OD260 0 161 and OD280 0 084

A z score is a measure of relative standing for an observation because it tells us the number of standard deviations and direction an observation is from the mean In other words when we use the standard deviation as our measurement unit the absolute value of the z score tells us how far an observation is from the mean in number of standard deviations It is positive when the observation is found above to the right or greater than the mean and negative when the observation is found below to the left or less than the mean The following is the formula to compute the z score for an observation x from a population with mean and standard deviation d Alternatively when working with a sample instead of a population this formula is used with sample mean x and sample standard deviation s Recall the following summary statistics for our sample of white wine pH measurements Z Variable Name pH Wines with low pH taste tart and crisp whereas wines with higher pH are more susceptible to bacterial growth A pH of about 3 0 to 3 4 is most desirable for white wines z X X S 3 0 1 25 x 0 Z X X S X X 5 z score for pH of 3 4 3 4 1 25 Determine the relative standing for a pH of 3 0 and a pH of 3 4 by computing a z score for each observation using the rounded values above and rounding each z score to two decimals z score for pH of 3 0 3 1883 0 1510 3 1883 0 1510 N Mean X Standard Deviation 4 898 3 1883 0 1510 Median 3 18 Minimum Value 2 72 Taking the absolute value of each z score gives the following interpretations for each pH Maximum Value 3 82

If you were to create something that stops viruses from replicating how would it have to be different from creating something that stops human somatic cells from replicating

The graph of y f x is given Graph the function y x 2 3

Use the appropriate reciprocal identity to find the value of sin 0 given that csc 0 13 Rationalize denominators when applicable sin 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators

In the Probability section on the left panel you can enter data values into the probability statement to determine the probability or proportion for an age in defined regions Probability P x Data value here Probability proportion for the indicated region here According to our normal model what approximate age is the boundary for the youngest 15 of Congress members Enter 0 15 into the probability field so SALT will compute the boundary age and display the age in the data value field Rounded to one decimal place approximately 15 of members of Congress are expected to be younger than X years according to our model

se the appropriate reciprocal identity to find the value of tan 0 given that cot 0 2 5 0 Type an integer or a decimal

Evaluate the indefinite integral

uate the trigonometric function at the quadrantal angle or state that the expression is undefine 90 at is the value of csc 90 A 1 3 The answer is undefined C 1

an 0 3 ot 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the

2 a Graph the piece wise function For full credit add arrows to the ends that keep going Use a straight edge for x 3 for x 3 f x 2 3 1 a Evaluate f 2 b Evaluate 6 c Evaluate f 10 10 5 104 5 0 5 10 5

Find the function value sin 270 using the appropriate values of x y and r from the graph on the right Select the correct choice below and if necessary fill in the answer box to complete your choice O A sin 270 Type an integer or a fraction CEL B The function is undefined x 1 r 1 1 0 y x 0 0 1 y 1 r 1 0 1 0 x x 1 y 0 r 1 x 0 y 1 0 1 7 1

the appropriate reciprocal identity to find the exact value of sec 0 for the given valu 6 9 9 95 0 an integer or a fraction

Lo 4 3 2 5 to 3 NO T 25 2 3 4 S I 2 3 4 5 6 q The graph above is a transformation of the function Write an equation for the function graphed above g x

Convert the measurement 13 mm cm

5 3 Intercept Form Worksheet 1 Y2 1 3 1 X X S Find the slope of each line 1 SIOR 2 3 1 5 3 573 2 4 Date 2 1 2024 Mr 33 1 3 1 2 y 1 1 x 3 X 12X 3 18th Period yuxur int Slope Farm Equation of Linely y SIOPE 1 X Yo 3 2 0 3 2 4 X Y X Y 313 32 x 0

Apollo Spas services 266 hot tubs If each hot tub needs 135 mL of muriatic acid how many liters of acid are needed for all of the hot tubs

Suppose that f x ln 5x 4 Find f x and use interval notation to give the domain of f Note When entering interval notation in WeBWork use I for o I for co and U for the union symbol If the set is empty enter without the quotation ma Domain

Evaluate the definite integral

Let Use logarithmic differentiation to determine the derivative f x f x x5 x 4 x 9

8 Write an equivalent expression over the given domain x 6 for all x except 3 and 5 x 5

By default the standard normal distribution is displayed with mean 0 and standard deviation 1 Change the mean and standard deviation values to display the normal distribution with mean 26 8 and standard deviation 4 3 Settings Distribution Selection Normal Distribution Mean St Dev 91 Notice there are two horizontal axes on the graph the x axis displays values of the random variable with the specified mean and standard deviation while the z axis displays corresponding z scores in the standard normal distribution The y axis displays the relative likelihood for the values of this random variable x to take on a given value We will use this distribution calculator to specify the probability that values of the random variable will fall within a range of values Look along the horizontal axes and locate x 26 8 The corresponding z score when x 26 8 is z 0 locate z 1 0 The corresponding x value when z 1 0 is x 26 8 Look again and

Evaluate the definite integral 522 5 4 S 8 TERMEN dx

17 through 2 4 and 1 3

Sketch an angle 8 in standard position such that has the least possible positive measure and the point 5 12 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below O A 18 18 Ay 18 O B 9 18 15 18 Q O C 18 k 18 18 o G

2 a 4 a 7 7 a a 4

CON Vo MH

5 x 25 x 8x 15

Find the slope of each line 1

JE

y 7y 12 y 3y

16 through 0 4 and 1 4

3 2x 4x 2x

Find the surface area and volume of each figure to the nearest tenth 8 m

15 through 4 4 and 0 3 17 through 2 4 and 1 3 16 through 0 4 and 1 4 18 through 0 4 and 0 1

Use the washer method to find the volume of a shifted solid of revolution Question Find the volume of a solid of revolution formed by revolving the region bounded above by the graph of f x 3x 1 an below by the x axis over the interval 5 6 about the line y 4 Enter an exact value in terms of Provide your answer below

If f x 4 cos 2 ln x find f x

Sketch an angle 0 in standard position such that has the least possible positive measure and the point 1 0 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below O A Q O B 2 O C

Sketch an angle 0 in standard position such that has the least possible positive measure and the point 0 2 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below O A N 4 OB 6 Ay O C 6 O

Sketch an angle 0 in standard position such that has the least possible positive measure and the point 12 35 is on the terminal side of 0 Then find the values of the six trigonometric functions for the angle Rationalize denominators when applicable Do not use a calculator Choose the correct graph below O A 25 Q O B Ay 40 oo O C Ay Q

Sketch an angle 0 in standard position such that has the least possible positive measure and the point 5 12 is on the terminal side of 0 Then find the values of t trigonometric functions for the angle Rationalize denominators if applicable Do not use a calculator Choose the correct graph below A 18 OB 117 Ay 1 OC 18 Q

A 3 1 Point J C H G uppose we want to remove F In a binary search tree we nev emove a node with two children Instead we replace it with nother node Which node will take the place of F K Q3 2 1 Point G Save Answer Q3 3 H After removing the node containing the original G is the result a red black tree Yes No int K Last saved on Jan 27 at 9 01 AM Now we want to remove C from the preceding tree That s a black leaf so we can t just remove it Instead we bubble up Afterwards what is the color of B red black Save Answer Last saved on Jan 27 at 9 04 AM

Evaluate the definite integral 11 12 x 3 da

Consider the function f x 5 16 2x c What is f 2a d What is the domain of this function

Perform the following calculations and express the result in the correct units and number of significant figu 47 0 m 2 2 S 1 2 140 cm x 35 cm 5 88 kg 200 m 3 4 0 00 50 m x 0 042 m 300 3 L 180 s 5 6 33 00 cm x 2 70 cm 35 000 kJ 0 250 min 8 22 0 m 5 28 m 15 5 m 7 9 0 042 kg 1 229 kg 0 502 kg 10 170 cm 3 5 cm 28 cm

Evaluate the indefinite integral S 11

Which expression gives the surface area of a sphere with radius r OA 4 OB 4tr O c O D

Evaluate the indefinite integral

What is the volume of the sphere below O A units 16 3 O B 250 units 48 3 D units C units b