Geometry Questions

The sum of the deviation about the mean for a whole data set is

Choose the three characteristics of a Normal Distribution Select one or more a Symmetrical b The standard deviations are limited to three C Total Area under the curve is 1 d Data is grouped to the right e Bell Shaped Curve

u represents the letter Select one O a mu O b theta c beta O d sigma

Using a statistics calculator or spreadsheet calculate the standard deviation of the heights of 15 soda cans 92 8 92 8 92 9 92 9 92 9 92 8 92 7 92 9 92 1 92 7 92 8 92 9 92 9 92 7 92 8 Round to the nearest 100th

Using the rules of standard deviation if a value is with in standard deviations of the mean it might be considered a new discovery or incredibly rare standard deviation of the mean then it is 68 likely to occur If data is

Using a chart to calculate the standard deviation helps to keep the numbers organized Drag and drop the values to complete the chart x mean total the sum of x x X 14 13 16 9 3 mean 11 11 11 11 11 X mean x mean 32 5 2 9 4 4 64 total

The variance x x 17 15 23 7 9 13 is 3 of the data n l

W X 109 N Y What is the measure of angle WZY O 54 5 O 71 O 125 5 O 180

L 8 8 5 M P The measure of central angle LOP is The length of LP is The length of MP is units units 0

O E B D Use the diagram to complete the statements The measure of angle EJB is measure of angle BOE The measure of angle BDE is measure of angle BOE The measure of angle OED is measure of angle OBD the the the

A 60 C O B Which statements are true Check all that apply O MCB 120 mcB 60 OmZCOB 2 m CAB OmZCOB 120 Om COB B m CAB

If the measure of arc QP is 76 degrees and angle 3 is 92 degrees what is the measure of arc SR

7 In circle A below AC 1 and m BAD 70 What is the arc length of BC d C a b 7T 117 18 36 7 117 36 18 D B A

9 What is the measure of LACB and arc AB below if m2AOB 40 O B a mzACB 40 arc AB 40 b mzACB 80 arc AB 80 20 c mzACB 40 arc AB mACR 20 arc AB 40

11 Given the equation for circle P is x 8 y 3 64 determine the diameter and a 8 3 d 16 2015 S b 8 3 d 128 c 8 3 d 16 d 83 d 128 sib orb bas 82

O 7 A B 25 What is the perimeter of kite ACBO O 31 units 56 units O 62 units 64 units

A C O B Central angle AOB and inscribed angle ACB intercept the same arc Concave polygon AOBC is formed The sides of central angles will congruent The sides of inscribed angles will congruent be be

PRACTICE ROUN 6 Determine the coordinates of the center and the length of the diameter of a circle whose equall 4y x y 6x 12

quadrilateral and mA 8x 15 mzB y 10 5 In the circle above ABCD is a and mzD y 10 Calculate the value of x and y b D A B

The measure of arc LM is The measure of angle MBL is The measure of angle MNL is vo v B L 116 M N

3 The equation of a circle is x 9 y 18 Determine its center and radius a 9 1 r 9 b C d 9 0 r 3 2 0 9 r 9 0 9 r 36 2791093 158 to dignal ou sulat dan

2 The circumference of circle Z is 124 inches Determine the diameter of the circle to the nearest whole number a 124 b 39 c 20 d 19

1 In the diagram above AC and AD are tangent to circle B at points C and D respectively 4 and AE 8 what is the length of AC in simplest radical form If CB a 4 3 b 4 5 c 8 2 d 4 10 1 lat to 7919msib A E D B

Which statements are true regarding the relationships between central inscribed and circumscribed angles of a circle Check all that apply A circumscribed angle is created by two intersecting tangent segments O A central angle is created by two intersecting chords that are not a diameter The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc O The measure of a central angle will be half the measure of an inscribed angle that intercepts the same arc O The measures of a central angle and circumscribed angle that intercept the same arc will sum to 90 The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle

Find the area of the circle 4 1 ft A ft Simplify your answer Type an exact answer in terms of

What is the area of sector GPH The area of sector GPH is square yards Type an exact answer in terms of x P 12 yds G 20 H Q

Find the area of the circle Area cm Simplify your answer Type an exact answer in terms of 22 cm

B D 98 The measure of arc AB is The measure of angle AOB is The measure of angle BDA is

For questions 10 15 assume that segments that appear to be tangent are tangent 10 Find the value of x 11 Find the perimeter of AGHI a 11 2 b 12 4 c 13 2 6 6 a 130 b 140 c 154 d 164 7x 10 52 H M 13r 8 K 15

9 Which diagram s show XY tangent to circle Z Check all that apply Z 11 7 X 7 8 15 6 A 10 A 7 X B

Use the circle below U X Y 85 Z 108 V W r 12 YK 24 meters 7 Find the length of YU Round to the nearest hundredth a 18 05 b 15 08 c 2 48 d 4 82

Which statements are true regarding the diagram for circle P and the angles created Check all that apply OZDEC is a circumscribed angle O ZBCA is an inscribed angle O ZCBA is a central angle O ZAPB is a central angle OPB PA EC CB E D B P A

Use the circle below S 71 R 46 X T 8 Find mZSTR a 23 b 152 c 142 d 92

Use the circle below for questions 8 10 E D A 52 B C 4 Find mED a 52 b 38 5 Find mAC a 38 b 52 6 Find mBCD a 38 b 52 c 142 c 90 c 148 d 308 d 308 d 308

Use the diagram below for questions 1 3 U P V IT S R 1 Which of the following is a radius B US C RT A PV D PQ 2 Which of the following is a tangent B US C RT A PV D PO 3 Which of the following is a central angle A ZPVU B ZUST C ZOUS D ZUSR

A tank in the shape of a hemisphere has a diameter of 18 feet If the liquid that fills the tank has a density of 84 8 pounds per cubic foot what is the total weight of the liquid in the tank to the nearest full pound

5323 19AM Question 3 The figure below is a triangular prism What is the volume of the prism if the area of its base is 14 square centimeters 18 cm A B uddan C D 32 cubic centimeters 126 cubic centimeters 252 cubic centimeters T25 Geometry 34 A 324 cubic centimeters

Square RSTU is shown below with a line AB drawn through its center If the square is dilated using a scale factor of and a line is drawn through the center of the new dilated figure what relationship will that line have with line AB in the drawing below 10 points S A T B

am How do we know that alleles actually separate during gamete formation A Scientists are unsure whether the alleles separate B Zygotes will not reach maturity if the alleles do not separate C If the alleles did not separate recessive alleles would never reappear

A 55 pound box sits on a ramp with 24 incline So the box experiences a force of 55 pounds straight down into the earth 4 Find the magnitudes of the force vector perpendicular to the ramp FL pounds and the force vector parallel to the ramp F pounds Round to at least 1 decimal place

G Z E U 4 Explain the relationship between point Z and the triangle Justify with the applicable theorem 5 If the length of GU is 18 units what is the length of GZ Show all your calculations and unit measurements 6 If the length of ZT is 4 8 units what is the length of OT Show all your calculations and unit measurements

22 Describe the transformations a y 2x 5

r answer to two decimal places if necessary The slanted sides of the trapezoid are 12 4 mm long 12 mm 19 mm 25 mm 20 mm

Graph the given parent function after the set of transformatic 1 2 3 5 1 f x 3 2 2 2 7 4 2 f x 1 2

8 5 pts Openstax 6 5 253 A cone shaped tank of depth H has a cross sectional area that increases with its depth A Show that the work to empty it is half the work for a cylinder with the same height and base r h H

A balloonist is directly above a straight road 1 9 miles long that joins two towns She finds that the town closer to her is at an angle of depression of 39 and the farther town is at an angle of depression of 32 How high above the ground is the balloon 399 1 9 mi Not to scale 320 The balloonist is about miles above the ground Round the final answer to two decimal places as needed Round all intermediate values to four decimal places

Find the surface area and volume of the following solids 1 5 cm 6 cm 8 7 cm

In order to maintain a healthy weight an average adult dog that weighs 17 kilograms must consume 13 grams of dog food per kilogram of its body weight each day A specialty pet store sells dog food by the cup where 6 cups of dog food weighs 558 grams About how many cups of dog food should the dog consume each day in order to maintain a healthy weight A 0 40 B 2 17 C 2 38 D 0 42

One rectangle is framed within another Find the area of the shaded region if the frame is 1 unit wide

Ho The shift and reported symptoms are H The shift and reported symptoms are not This hypothesis test is a right tailed Part 2 of 4 Part 2 4 Part 3 of 4 Find the P value Round your answer to four decimal places The P value is 0 2439 Determine whether to reject Ho test independent independent