A diamond merchant received a shipment of 7/10 of a pound of diamonds. He divided the diamonds into 7 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot? Write your answer as a fraction or as a whole or mixed number.
The weight of the diamonds in each lot is 4.9 pounds.
What is the fractional idea?Here, the fractional idea can be used. A fraction represents a portion of a total. A fraction is a numerical figure that designates a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain value, or an object.
A cargo of half a pound's worth of diamonds was received by a diamond trader. He separated the stones into 4 equal lots and sold them to jewelers so they could be used to make necklaces and rings.
Total shipment = 7/10 pound
number of equal lots = 7
then, 7 x weight = 7/10
weight = 4.9
Therefore, the weight of each lot is 4.9 pounds.
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On the Y axis, we have the profit from the trucking company and on the X axis, we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?
A. Y intercept will be less and X will be less
B. Y intercept will be less and X intercept will be greater
C. Y intercept will be greater and X will be greater
D. Y intercept will be greater and X will be less
The correct answer is: A. Y intercept will be less and X will be less.
What is slope?A linear function's slope is a gauge of how steep the line is. Between any two points on the line, it is the ratio of the change in the y-coordinate to the change in the x-coordinate. The formula is used to compute it:
slope equals (y2 - y1)/. (x2 - x1)
where any two points on the line (x1, y1) and (x2, y2) are.
The company's expenses will rise once it begins paying a driver at a rate of 0.25 cents per mile, which means its profit will decline. The profit curve on the y-axis will go vertically downward as a result of this. But, because the cost of paying the driver is fixed per mile and has no impact on the profit per mile, the slope of the line—which reflects the profit per mile—will stay the same.
Hence, A. Y intercept will be less and X will be less is correct.
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In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
What is expression?Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.
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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?
What is the sum of the exterior angles of a 100000-gon
Answer: 17999640
Step-by-step explanation:
The number of sides (100000) - 2. This gives you 99998 sides. Then you multiply it by 180. This equals 17999640
Answer: The sum of the exterior angles of a polygon is always 360 degrees. This is because when you travel around the exterior of a polygon, you make one complete revolution of 360 degrees.
To find the measure of each exterior angle of a regular n-gon (a polygon with n sides and angles of equal measure), you divide the total sum of the exterior angles (360 degrees) by the number of sides or angles in the polygon.
So for a regular 100000-gon, each exterior angle measures 360/100000 = 0.0036 degrees.
To find the sum of all the exterior angles in a 100000-gon, we multiply the measure of one exterior angle by the number of exterior angles (which is also equal to the number of sides/vertices in the polygon).
The number of exterior angles in a 100000-gon is also 100000, so:
Sum of exterior angles = 0.0036 degrees/angle × 100000 angles = 360 degrees
Therefore, the sum of the exterior angles of a 100000-gon is 360 degrees.
Step-by-step explanation:
what is one of the zeros of the function shown in this graph?
Answer:
x = -3 and x = 1 are the two zeroes of this function. Choose one of them for your answer.
Circle B is shown, with GHJK inscribed in the circle. The mGHJ = (3x+50)°, and mzHJK = (4x)° and mLGK] = (4x-10)°.
Find HGK and JHG
The value of
m∠GHJ = (3(20°)+50)° = 110°.
m∠GkJ = (4(20°)-10)° = 70°
m∠HJK = (4(20°))° = 80°
What is an angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Here, we have
Given: Circle B is shown, with GHJK inscribed in the circle. The m∠GHJ = (3x+50)°, and m∠HJK = (4x)° and mLGK] = (4x-10)°.
we have to find the value of HJK and JHG.
We know that
m∠GHJ + m∠GkJ = 180°
(3x+50)° + (4x-10)° = 180°
7x + 40 = 180°
7x = 140°
x = 20°
Hence, the value of
m∠GHJ = (3(20°)+50)° = 110°.
m∠GkJ = (4(20°)-10)° = 70°
m∠HJK = (4(20°))° = 80°
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Use the given frequency distribution to find the
(a) class width.
(b) class midpoints of the first class.
(c) class boundaries of the first class.
1) Weight (in pounds)
Class Frequency, f
135 - 139 6
140 - 144 4
145 - 149 11
150 - 154 15
155 - 159 8
For the given frequency table, (a) 5 (b) 137 (c) lower class boundary is 132.5, and the upper class boundary is 141.5.
What is a frequency table ?
A frequency table is a tabular summary of data showing the frequency (i.e., the number of occurrences) of each category or value in a data set. It usually consists of two columns: one listing the categories or values and the other listing the corresponding frequencies. Frequency tables are commonly used to summarize categorical data, but they can also be used to summarize numerical data by grouping it into intervals or classes.
Now,
(a) The class width is the difference between the upper class limit and the lower class limit. For this frequency distribution, we can see that the class width is the same for each class and is equal to 5.
(b) The class midpoints are found by taking the average of the lower and upper class limits. For the first class, the lower class limit is 135 and the upper class limit is 139. So, the class midpoint is (135 + 139) / 2 = 137.
(c) The class boundaries are found by adding and subtracting half of the class width to the lower and upper class limits. For the first class, the lower class limit is 135 and the upper class limit is 139. The class width is 5, so half of the class width is 2.5. The lower class boundary is 135 - 2.5 = 132.5, and the upper class boundary is 139 + 2.5 = 141.5.
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A car travels at an average speed of 64 mph. how long does it take to travel 304 miles 
Assuming the time begins after the car is fully accelerated to 64 mph, 4 hours 45 minutes
IG:whis.sama_ent
[tex]What is the logarithmic form of the exponential equation 4^{3} =(5x+4)[/tex]
The logarithmic form of the given exponential equation in the question, 4³ = (5x + 4) is Log₄ (5x + 4) = 3.
How to convert exponential equation to logarithmic form.The exponential-to-logarithmic format is useful because it makes it easy to compute large numeric expressions. Expressions involving exponential multiplication and division can be converted to addition and subtraction by applying logarithms. Logarithmic exponential form is a common means of converting mathematical expressions in one form to another form.
The exponential form aˣ = N is transformed and written logarithmically as LogₐN = x.
The exponential form of a for the exponent of x equal to N is converted to the logarithm of the number N in base a, equal to x.
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You own 23 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
The probability that the CDs are in alphabetical order is
The probability of choosing 5 CDs in alphabetical order out of a collection of 23 CDs is approximately 0.00003 or 0.003%.
What is combination?
In mathematics, a combination is a way of selecting objects from a larger group of objects, where the order of selection is not important. A combination is a subset of objects that are chosen from a larger set without regard to the order in which they are selected.
The formula is given by:
C(n, r) = [tex]\frac{n!}{r!* (n - r)!}[/tex]
The total number of ways to choose 5 CDs from a collection of 23 CDs is given by the combination formula:
C(23, 5) = [tex]\frac{23!}{5!* (23 - 5)!}[/tex]
= 33649
This means there are 33649 different ways to arrange 5 CDs out of the 23 CDs.
Out of these 33649 ways, only one arrangement is alphabetical. For this to happen, the first CD chosen must be the first one alphabetically, the second CD chosen must be the second one alphabetically, and so on.
The first CD can be any of the 23 CDs. However, once the first CD is chosen, there is only one CD that can be the second one alphabetically, two CDs that can be the third one alphabetically, and so on. Therefore, the probability of choosing 5 CDs in alphabetical order is:
P = 1 / C(23, 5)
P = 1 / 33649
P ≈ 0.00003
So the probability of choosing 5 CDs in alphabetical order out of a collection of 23 CDs is approximately 0.00003 or 0.003%.
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What’s the length of side AB?
tan = 1/√3= perpendicular/ base
1/√3 = AB / AC
AB / 6 = 1/√3
AB = 6/√3
Select all equations that have n = 6 as a solution. 2 + n = 6 n + 6 = 12 4 • n = 24 n • 3 = 2
The only equations n + 6 = 12 and 4 • n = 24 have n = 6 as a solution.
How do equations work?An equation is a collection of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division that are balanced by the equal sign. The equation's right-hand side (RHS) is on the right, and its left-hand side (LHS) is on the left.
To check if a given equation has n = 6 as a solution, we simply substitute n = 6 into the equation and see if it is true.
2 + n = 6 : 2 + 6 = 8, not true for n = 6.
n + 6 = 12 : 6 + 6 = 12, true for n = 6.
4 • n = 24 : 4 • 6 = 24, true for n = 6.
n • 3 = 2 : 6 • 3 = 18, not true for n = 6.
Therefore, only the equations n + 6 = 12 and 4 • n = 24 have n = 6 as a solution.
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What is the degree of -4x to the power of 3 + 6x to the power of 4 -1
Convert the following dimensions into feet using the provided scale. Fraction or
decimal answers are fine.
Measurement: 3 1/4 in. x 4 1/16 in.
Scale: 1/8 in. = 1 ft
Thus, the value of measurement in the unit of feet converted from inch are - Measurement: 26 ft. x 32.5 ft.
Explain about the scale factor:The ratio of equivalent sides on two comparable figures is known as the scale factor. Scale factor in mathematics is used to quantify how much larger or smaller one object or figure is in comparison to another. On a map, scales are frequently present. The scale factor in geography typically refers to how accurately the scale depicted on the map reflects actual distance.
Given:
Measurement: 3 1/4 in. x 4 1/16 in.
Scale: 1/8 in. = 1 ft
Convert the mixed fraction of measurement into proper fraction:
Measurement: (3*4 + 1)/4 in. x (4*16 + 1)/16 in.
Measurement: 13/4 in. x 65/16 in.
Now,
Scale: 1/8 in. = 1 ft
1 in. = 1*8 ft
1 in. = 8 ft
Thus, multiply each measurement by 8 to get the values in ft.
Measurement: 13*8/4 ft. x 65*8/16 ft.
Measurement: 13*2 ft. x 65/2 ft.
Measurement: 26 ft. x 32.5 ft.
Thus, the value of measurement in the unit of feet converted from inch are - Measurement: 26 ft. x 32.5 ft.
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can someone help with thiss?
Step-by-step explanation:
You are given the formula for surface area of the cone
r = 7 cm l = 13 cm
Sooooo ...just plug the numbers into the formula :
SA = pi (7^2) + pi (13)(7) =
= 22/7 * 49 + 22/7 * 13 * 7 = 440 cm^2
Question 1 (10 marks)
Tom is preparing for a 100 meters race competition. During his practice last week, a sample of seven 100
meters races is reviewed, and the finishing times (in seconds) were as below:
13.4
15.6
13.1
14.5
14.2
13.3
15.3
It is reasonable to assume his finishing times are normally distributed.
(a) Construct a 99% confidence interval estimate of his population mean finishing time of 100 meters race.
(b) If the confidence interval estimate of his population mean finishing time of 100 meters is constructed at
95% instead of 99%, would the new confidence interval be (I) wider, (II) narrower, or (III) the same as
the interval constructed at part (a)? (Just state your answer, no calculation is needed in part (b))
Question 2 (20 marks)
A survey was conducted one month ago to review the calories of lunch boxes provided by the supplier "Better
Lunch". In a sample with 300 lunch boxes, there were 273 lunch boxes with calories below 650 and the other
27 lunch boxes with calories above 650. Besides, the mean calories was 550 and standard deviation was 40.
(a) Find the point estimate of the population proportion of lunch boxes provided by "Better Lunch" had
calories above 650.
(b) Calculate the sampling error at 98% confidence level for the estimate of the population proportion of
lunch boxes provided by "Better Lunch" had calories above 650.
(c) Construct a 98% confidence interval estimate of the population proportion of lunch boxes provided by
"Better Lunch" had calories above 650.
(d) "Better Lunch" follows government's suggestions to change the menu in order to reduce the lunch boxes'
calories. Suppose after the menu update, each lunch box's calories can be reduced by 4%. Find the
sample mean and sample standard deviation of calories of the above sample after the change. Hence,
construct a 90% confidence interval estimate of the population mean calories in a lunch box after the
change.
Question A) A 99% confidence interval estimate of his population mean finishing time of 100 meters race is (12.8081,15.5919)
Question B) Option II) narrower is the correct Option.
How to solveLet X be the time required to finish 100 meters race competition with Tom ( in seconds.)
A) A 99% confidence interval estimate of his population mean finishing time of 100 meters race is (12.8081,15.5919)
x = 14.2
s^2= 0.9867
s= 0.9933
t \aplha/2, n-1 = 3.7074
Margin of error= 1.3919
lower bound= 12.8081
upper bound= 15.5919
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Verify that segments with lengths of 21 inches, 72 inches, and 75 inches form a triangle. If so, determine whether they form a right triangle.
A. triangle, right triangle
B. triangle, isosceles triangle
C. triangle, obtuse triangle
D. triangle, acute triangle
Answer:
it would be C
Step-by-step explanation:
Marcus buys a car for $45,000. If he finances it for 5
years at an annual interest rate of 8.5%, what will his
monthly payment be?
Answer:
M ≈ $933.24
Step-by-step explanation:
To calculate Marcus's monthly payment for financing his car for 5 years at an annual interest rate of 8.5%, we can use the formula for the monthly payment on a loan:
M = P * (r/12) * (1 + r/12)^n / ((1 + r/12)^n - 1)
where:
M is the monthly payment
P is the principal (in this case, $45,000)
r is the annual interest rate (in this case, 8.5%)
n is the number of monthly payments (in this case, 5 years * 12 months/year = 60 monthly payments)
Substituting the given values, we get:
M = $45,000 * (0.085/12) * (1 + 0.085/12)^60 / ((1 + 0.085/12)^60 - 1)
Using a calculator, we get:
M ≈ $933.24
Therefore, Marcus's monthly payment for financing his car for 5 years at an annual interest rate of 8.5% is approximately $933.24.
PLEASE HELP ON QUESTION!!!
A rectangular field has a perimeter of 150cm
Field is 15 m longer than it is wide . The width of field is a meters.
A) write down equation for this information.
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A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. A random sample of 36
stores this year shows mean sales of 52
units of a small appliance with a standard deviation of 5
units. During the same point in time last year, a random sample of 49
stores had mean sales of 46
units with standard deviation 14
units.
It is of interest to construct a 95 percent confidence interval for the difference in population means 1−2
, where 1
is the mean of this year's sales and 2
is the mean of last year's sales.
Enter values below rounded to three decimal places.
(a) The estimate is:
.
(b) The standard error is:
.
Answer:
Step-by-step explanation:
(a) The estimate for the difference in population means is 6.000.
(b) The standard error for the difference in population means is 3.208.
Conclusion:
Based on the given data, the 95% confidence interval for the difference in population means between this year's sales and last year's sales is between -0.608 and 12.608. This suggests that the population mean for this year's sales is likely to be higher than the population mean for last year's sales. This is supported by the fact that the estimate for the difference in population means is 6.000, which is greater than 0.
A ski club charges $70 for a lift ticket and $20 per hour to ski. Jim paid at least $130 last week to ski. How many hours would he have skied.
Answer:
Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time
Carlita surveyed all the students in her grade and reported the fraction of students who liked each type of pet.
Three-sevenths liked hamsters.
Five-sixths liked dogs.
One-half liked cats.
liked snakes.
Which list has the animals in order from least liked to most liked?
A. dogs, cats, snakes, hamsters
B. snakes, dogs, cats, hamsters
C. dogs, cats, hamsters, snakes
D. snakes, hamsters, cats, dogs
On the basis of data reported by Carlita in form of fractions , on comparing the given fractions order of animals from least liked to most liked is option-D:Snakes, hamsters, cats, dogs.
What are fractions?
A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fractio," which meaning "to break," is the source of the English term "fraction." It is simpler to identify the greater or smaller fraction when comparing fractions with the same or similar denominators. We must change fractions with dislike or different denominators to fractions with like or the same denominators in order to compare them. To do this, we must determine the denominators' Least Common Multiple (LCM). We can compare fractions simply when the denominators are made the same or similar.
Given data collected by Carlita:
Fraction of students who like hamsters= [tex]\frac{3}{7}[/tex]
Fraction of students who like dogs = [tex]\frac{5}{6}[/tex]
Fraction of students who like cats= [tex]\frac{1}{2}[/tex]
Fraction of students who like hamsters= [tex]\frac{1}{9}[/tex]
To compare all four fractions [tex]\frac{3}{7}[/tex] , [tex]\frac{5}{6}[/tex] , [tex]\frac{1}{2}[/tex] & [tex]\frac{1}{9}[/tex]
We find LCM of denominators 2,6,7 & 9
prime factors:
2=2
6=2 x 3
7=7
9= 3 x 3
LCM=2 x 3 x 3 x 7
=126
Equivalent fractions with denominator 126:
[tex]\frac{3}{7}[/tex] = [tex]\frac{3}{7}[/tex] × [tex]\frac{18}{18}[/tex] = [tex]\frac{54}{126}[/tex]
[tex]\frac{5}{6}[/tex] = [tex]\frac{5}{6}[/tex] × [tex]\frac{21}{21}[/tex] = [tex]\frac{105}{126}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{63}{63}[/tex] = [tex]\frac{63}{126}[/tex]
[tex]\frac{1}{9}[/tex] = [tex]\frac{1}{9}[/tex] × [tex]\frac{14}{14}[/tex] = [tex]\frac{14}{126}[/tex]
On arranging least to most [tex]\frac{54}{126}[/tex], [tex]\frac{105}{126}[/tex], [tex]\frac{63}{126}[/tex] & [tex]\frac{14}{126}[/tex] we get
[tex]\frac{14}{126}[/tex] < [tex]\frac{54}{126}[/tex] < [tex]\frac{63}{126}[/tex] < [tex]\frac{105}{126}[/tex]
snakes<hamsters<cats<dogs
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Refer to the attachment for the complete question.
1. If it takes you 2¹/2 hours to assemble one unit, how many units will you complete in 15 hours?
(Note: Change 2¹/2 to an improper fraction before calculating.)
Answer:
Step-by-step explanation:
Make a chart.
units hours
2 5
4 10
6 15
I need help with this please
Answer:
Step-by-step explanation:
just add the two numbers up 576x1 1/2= 864
Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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A certain college had 3,000 students enrolled in
2015. The college predicts that after 2015, the
number of students enrolled each year will be 2%
less than the number of students enrolled the year
before. Which of the following functions models the
relationship between the number of students
enrolled, f (x), and the number of years after 2015,
x?
A. f(x) = 0.02x(3000)*
B. f(x) = 0.98x(3000)*
C. f(x) = 3000(0.02)*
D. f(x) = 3000(0.98)*
The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x, is D. f(x) = 3000(0.98)*.
What is a function?Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).
There are four main types of mathematical functions, including:
Constant Function, example, the polynomial function of degree zero.Linear Function, for example, the polynomial function of degree one.Quadratic Function, for example, the polynomial function of degree two.Cubic Function, the polynomial function of degree three.The number of students enrolled in 2015 = 3,000
The annual decrease in students enrollment = 2%
Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.
Let the number of years after 2015 = x.
Thus, the correction function is D. f(x) = 3000(0.98)*.
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find the value for each variable in simplest radical form pleasee
Answer:
7) x= 8[tex]\sqrt{3}[/tex] y= 8
8) x= 10[tex]\sqrt{3}[/tex] y= 15
9) x= 22 y= 11[tex]\sqrt{3}[/tex]
10) x= 4 y= 4[tex]\sqrt{3}[/tex]
11) x= 6[tex]\sqrt{3}[/tex] y= 12[tex]\sqrt{3}[/tex]
12) x= 13 y= 26
Step-by-step explanation:
Just use your 30, 60, 90 triangle rules:
hypotenuse= 2x the shortest leg (the one opposite the angle measuring 30 degrees)
longer leg= the shortest leg times [tex]\sqrt{3}[/tex]
to find shortest leg, substitute the variables
Let u = 4i-j, v = 5i + j. and w=i+6j.
Find the specified scalar
U*V+U*W
To find the specified scalar, we need to first find the dot product of U and V, and then the dot product of U and W, and add these two dot products together:
U·V + U·W
where U·V denotes the dot product of U and V, and U·W denotes the dot product of U and W.
The dot product of two vectors a = (a1, a2) and b = (b1, b2) is given by:
a · b = a1b1 + a2b2
Using this formula, we can find the dot product of U and V:
U · V = (4i - j) · (5i + j) = 4i · 5i + 4i · j - j · 5i - j · j = 20i^2 + (4i · j - 5i · j) - j^2 = 20 + (-i · j) - 1 = 19 - i · j
Next, we can find the dot product of U and W:
U · W = (4i - j) · (i + 6j) = 4i · i + 4i · 6j - j · i - j · 6j = 4i^2 + (4i · 6j - j · i) - 6j^2 = 4 + (24i · j) - 6 = -2 + 24i · j
Now we can substitute these values into the original expression:
U·V + U·W = (19 - i·j) + (-2 + 24i·j) = 17 + 23i·j
Therefore, the specified scalar is 17 + 23i·j.
Find the probability for each problem. Then, drag the problem to the correct column.
1.) The probability of rolling two even numbers would be = 1/4
2.) The probability of rolling one even and one odd number = 1/2
3.) The probability of flipping tails on a coin and by rolling a factor of 6 on a six sided die would be = 1/3
How to calculate the probability of the various given events?To calculate the probability the formula that should be used is given as follows;
probability = possible outcome/sample space
For question 1.):
Sample space when two dice are thrown = 36
possible outcome = (2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)= 9
Probability = 9/36 = 1/4
For question 2.)
Sample space when two dice are thrown = 36
possible outcome = 18
probability = 18/36 = 1/2
for question 3.)
Sample space when two dice are thrown = 12
possible outcome = 4
probability = 4/12 = 1/3
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A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.6 in. The slant height of the pyramid is 88.9 in. What is the height of the pyramid?
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