Answer: The probability is 0.06
Step-by-step explanation:
Urn A contains 1 red ball and 4 blue balls.
Urn B contains 2 red balls and 3 blue balls.
The probability of "selecting" a ball of a given colour is equal to the number of balls of that colour in the urn divided by the total number of balls in the urn.
Now, the probability of drawing two balls of the same color in the fourth selection needs to:
1 selection: red ball from A and one blue ball from B, the probability is:
Pa = 1/5, Pb = 3/5, P = 1/5*3/5 = 3/25
second selection: a blue ball from A and one red ball from B, the probability is (remember that now we have one ball less in each urn):
Pa = 4/4, Pb = 2/4, P = 1*2/4 = 1/2
for the third selection we have that we again need to take a blue ball from A and a red ball from B, here the probability is:
Pa = 3/3, Pb = 1/3, P = 1*1/3 = 1/3
the total probability will be the product of the 3 selections
Pt = (1/3)*(1/2)*(3/25) = 0.02
but we have 3 possible permutations of those selections, in one we took the red ball from A in the first selection, other were we took it in the second, and others where we took it in the third.
So the actual probability is 3*Pt = 3*0.02 = 0.06
Find the sum of the first 16 terms of the series 20+27+34+41+...
Answer:
this question is really easy
so 20 + 27 + 34 + 41 ........ and we have to find out the 16th term so...
your answer is = 132
I hope this would help you
thank u
Answer:
1272
Step-by-step explanation:
The series can be written as (20+7*0)+(20+7*1)+...+(20+7*n).
Therefore, the sum of the first 16 terms would be as follows:
20*16 + 7*0 + 7*1 + 7*2 +...+ 7*16 = 320 + 0 + 7 + 14 + 21 + ... + 112 = 320 + 952 =
= 1272
There are many ways to calculate the underlined bit, I'm just not showing it (on this occasion I just put it in my calculator).
at a fall festival,the student council sold 149 drinks and collected $223.50. The total amount collected is proportional to the number of drinks sold. What is the constant of proportionality in terms of dollars per drink ?
Answer:
1 drink/$1.50
Step-by-step explanation:
you have to find the cost of each drink by dividing the money raised by the number of drinks sold
223.50/149=
1.50
Answer:
Step-by-step explanation:
Find the unit cost:
$223.50
------------------ = $1.50/drink
149 drinks
Then y = revenue from sales of drinks = ($1.50/drink)(number of drinks).
The constant of proportionality is $1.50/drink.
In triangle ABC, side AB measures 3 cm, side BC measures 5 cm, and side AC measures 7 cm. The measures of the angles are 21.8º, 38.2º, and 120º. What could the measure of angle A be? 21.8º 38.2º 120º answer is 38.2
Answer:
B
Step-by-step explanation:
I got it correct
Answer:
38.2º
hope you have a good day!
choosing a vowel from the word counting and a consonant from the word Prime then give the total number of outcomes
Answer:
9
Step-by-step explanation:
Total letters in word 'COUNTING'=8
Number of vowels in word 'COUNTING'=3(O,U,I)
Total letter in word 'PRIME'=5
Number of consonants in word 'PRIME'=3(P,R,M)
We have to find the total number of outcomes.
Number of choice for O=3(P,R,M)
Number of choice for U=3(P,R,M)
Number of choice for i=3(P,R,M)
Number of outcomes of choosing a vowel from the word 'COUNTING' and a consonant from the word 'PRIME'=3+3+3
Total number of outcome=9
Hey, I need help with the questions attached. This is homework i forgot i had so.. it is real helpful. Thank you.
Answer:
1)
80 = 2×2×2×2×5
2)
21 -- 11 -- 8 -- 40
21 -- 15 -- 24 -- 60
Step-by-step explanation:
80 = 2×2×2×2×5
Half Tuna white: 21
Half brown: 21
25% of 32
25/100 × 32 = 8
32-8 = 24
Total brown: (100-20)/2 = 40
Total white = 60
Cheese:
40 - 21 - 8 = 11
60 - 21 - 24 = 15
21 -- 11 -- 8 -- 40
21 -- 15 -- 24 -- 60
What is the first step in simplifying
3-b(7b+ 2) + 3b - (11 - b)?
-Combine all like terms.
-Simplify inside the parentheses.
-Distribute the -b and -1 to the terms in the parentheses.
-Subtract 3-b.
The first step in simplifying is to distribute the -b and -1 to the terms in the parentheses.
What is PEMDAS?The abbreviation PEMDAS stands for parentheses, exponents, multiply or divide, add or subtract, which stands for the sequence of operations in mathematics. To achieve the right result when an expression contains many operations, it's crucial to compute them in the correct sequence (exponents after the parenthesis, etc.).
Given equation 3-b(7b+ 2) + 3b - (11 - b). As we can see that in this equation there is nothing complicated inside the bracket to simplify. so we will jump to the next step which is to distribute the -b.
Hence, in equation 3-b(7b+ 2) + 3b - (11 - b) first step in simplifying is to distribute the -b and -1 to the terms in the parentheses.
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I am pretty sure it's A but I can't risk it so someone plzz help. Its not really hard.
Answer:
It is A
Step-by-step explanation:
It will be undefined if something is divided by 0.
So if you divided 0/6, it will be 0. But if you did 6/00 it will not work because 0 is not a number.
Simplify this power raised to a power: (54)4 1. Expand using four factors of 54: 54 ∙ 54 ∙ 54 ∙ 54 2. Apply the product of powers rule: 54+ 4+ 4+ 4 3. Simplify: 5x What is the value of x in the simplified power? x =
Answer:
x=16
Step-by-step explanation:
you add all the 4s from the second step and get a product of 16.
The question simplifies a power raised to a power, (5^4)^4. Whereby, the rule is to multiply the exponents. Therefore, x in our simplified expression 5^x, equals 16.
Explanation:Let's simplify this (power raised to a power): (54)4.
First, we recognize it as a case of exponents raised to another exponent, where the rule is: if you have an exponent raised to another exponent, you should multiply the exponents. In this case, it's 4 * 4.We multiply the exponents: 4 * 4 = 16So, the simplified form is: 516
Therefore, the value of x in the simplified power is 16.
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Karen has already knit 15 centimeters of scarf, and can knit 1 centimeter each night. After
23 nights of knitting, how many centimeters of scarf will Karen have knit in total?
Answer:
I think it is 38 centimeters.
Step-by-step explanation:
She invited 150 friends. But she only had 5 activities for her friends and her party only lasted 4 hours. How much time will each friend get on each activity
Answer:
19.20 seconds.
Step-by-step explanation:
Given:
She invited 150 friends.
But she only had 5 activities for her friends and her party only lasted 4 hours.
Question asked:
How much time will each friend get on each activity ?
Solution:
First of all convert 4 hours into seconds:-
1 hour = 3600 seconds
4 hours = 3600 [tex]\times[/tex] 4 = 14400 seconds
By unitary method:
150 friends get time in 5 activities = 14400
1 friend get time in 5 activities = 14400 [tex]\div[/tex] 150 = 96 seconds
That means each friend get 96 seconds in all 5 activities.
Each friend get time on each activity = ?
Each friend get time on 5 activities = 96
Each friend get time on 1 activity = 96 [tex]\div[/tex] 5 = 19.20 seconds
Thus, each friend will get 19.20 seconds on each activity.
a)
What are the two features that make this shape a square?
Answer-
for a shape to be a square, you need to make sure that all size are equal. then you will need to see if the angels are all the same (they need to be 90 degrees). all the sides must be parallel with each other. that is what makes a shape a square. this doesn't fit will all quadrilateral shapes.
(a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.
(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.
Answer:
a) 0.71
b) 0.9863
Step-by-step explanation:
a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000
-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:
[tex]P(X<500,000)=P(X=0)+P(X=500)\\\\=0.34+0.37\\\\=0.71[/tex]
Hence, the probability of a house price below $500,000 is 0.71
b. -Let X be the mean price of a randomly selected house.
-Since the sample size 40 is greater than 30, we assume normal distribution.
-The probability can therefore be calculated as follows:
[tex]P(X<x)=P(z<\frac{\bar X-\mu}{\sigma/\sqrt{n}})\\\\P(X<500,000)=P(z<\frac{500-403}{278/\sqrt{40}})\\\\=P(z<2.2068)\\\\\\=0.9863[/tex]
Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches. If the clay weighs 1.055 oz/in^3, how much does Lou's brick weigh, to the nearest ounce?
Answer:
The weight of the brick is 60 ounce to the nearest ounce
Step-by-step explanation:
In this question, we are asked to calculate the weigh of Lou’s brick given the dimensions of the shape of the brick and the weight of the clay.
To answer this question quite aptly, we need to know exactly the volume of the rectangular prism given the dimensions we have in the question.
To calculate this volume , we simply use the measurements we have to get it.
mathematically the volume of a rectangular prism is simply V = w * h * l
where w , h and l are width, height and length respectively.
now let’s calculate!
V = 3.5 * 2.25 * 8 = 63 inches^3
Now we need to know what the brick weigh in ounce. We already have the weight of the clay. now this is equal to the volume of the brick divided by the weight of the clay.
Mathematically this is = 63/1.055 = 59.72 ounce which is 60 ounce to the nearest ounce
Answer:
60 ounce
Step-by-step explanations:
The volume of a rectangular prism is length multiplied by width and the height.
And if the width is 3.5 inches
Length is 8 inches
Height of 2.25 inches
V = 2.25 × 8 × 3.5
= 63 in³
And since the clay weighs 1.055 oz/in³,the total weight of the clay brick will be derived by dividing the volume of the brick by its weight per in³
63/1.055
= 59.7 and to the nearest whole number = 60 ounce
A weather forecast during September says that it will likely rain two out of the next five days. If the weather does not change, how many days will it likely rain in the month of September (30 days)?
A. 2/30
B. 5/30
C. 12/30
D. 75/30
Answer:
C. 12/30
Step-by-step explanation: 2/5 for every 5 days and there are 30 days in September so there is already 2/5 so 5 days are already in place so add 2 to the 2/5 and 5 to the 2/5 on their corresponding numbers until the five reaches thirty then the 2 will reach 12. Happy to Help.
PLEASE HELP!! WILL MARK BRAINLIEST!!!
A college food court surveyed 683 students to see how many drink soda, how many drink tea, and how many drink coffee.
The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
(a) How many of the students drink exactly two of the three drinks?
(b) How many of the students don’t drink tea?
(c) How many of the students drink neither coffee nor soda, but do drink tea?
Answer:
(a) 288 students
(b) 249 students
(c) 121 students
Step-by-step explanation:
(a) 39 + 124 + 125 = 288
(b) 81 + 39 + 52 + 77 = 249
Without access to the Venn diagram, it's not possible to provide specific numerical answers. However, guidance on reading the diagram to answer these type of questions is given.
Explanation:I apologize, but without the actual Venn diagram, I can't provide accurate numbers for your questions. However, I can guide you on how to read the diagram if you have it. To find the students who drink exactly two of the three drinks, you will sum the numbers in the intersections of the circles that exclusively represent two drinks. For students who don’t drink tea, count all the students who fall outside of the tea circle. Lastly, for students drinking only tea, refer to the number that lies exclusively within the tea circle and not within the circles representing coffee and soda.
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a cylinder has a base diameter of 16 inches and a height of 7 inches. What is its volume in cubic inches
Final answer:
The volume of the cylinder with a base diameter of 16 inches and a height of 7 inches is approximately 1407.36 cubic inches. This is calculated using the formula V = πr²h.
Explanation:
To calculate the volume of a cylinder with a base diameter of 16 inches and a height of 7 inches, we use the volume formula V = πr²h. First, find the radius r by halving the diameter, which gives us 8 inches. Then, square the radius and multiply by π (approximately 3.1416) and the height.
V = π × (8 inches)² × (7 inches)
V = π × 64 inches² × 7 inches
V = π × 448 inches³
V ≈ 3.1416 × 448 = 1407.36
The volume of the cylinder is approximately 1407.36 cubic inches.
Final answer:
The volume of a cylinder with a base diameter of 16 inches and a height of 7 inches is 1,408 cubic inches, calculated using the formula V = πr²h.
Explanation:
To calculate the volume of a cylinder with a base diameter of 16 inches and a height of 7 inches, we first need to find the radius of the cylinder's base. The radius (r) is half of the diameter, so for this cylinder, the radius is 8 inches. We then apply the formula for the volume of a cylinder, which is V = πr²h.
Using the values provided:
Calculate the radius: radius = diameter / 2 = 16 inches / 2 = 8 inches.
Compute the volume: V = π * (8 inches)² * 7 inches.
Since π is approximately 3.14159, the calculation is V = 3.14159 * 64 inches² * 7 inches = 1,408 cubic inches.
Therefore, the volume of the cylinder is 1,408 cubic inches.
What is the change in elevation from 8,500 m to 3,400 m?
Should be 5,100 from the information that is given.
Answer: 5,100 meters
[URGENT]
A family of parabolas have rules of the form y = ax^{2} + c. For the parabola in this family that passes through the point (-1, 4) and (0, 8), find the values of a and c.
Will award brainliest.
When you write URGENT the Brainly cops think you may be taking a test.
y = ax² + c thru (-1,4) and (0,8)
Substituting in the coordinates of each point for x and y gives two equations:
4 = a (-1)² + c
8 = a (0²) + c = c
From the second one we see c=8. Substituting into the first one,
4= a + 8
a = 4-8 = -4
Answer: a=-4, c=8
Check:
f(x) = -4x² + 8
f(0) = 8, good
f(-1) = -4(1) + 8 = 4, good
Final answer:
To find the values of a and c for the parabola through points (-1, 4) and (0, 8), we substitute these points into the equation y = ax² + c. This gives us two equations, and by solving them, we find that a = -4 and c = 8.
Explanation:
To find the values of a and c for the parabola y = ax² + c that passes through the points (-1, 4) and (0, 8), we can use these points to set up two equations:
1. For the point (-1, 4), substituting into the equation y = ax² + c, we get: 4 = a(-1)² + c 4 = a + c
2. For the point (0, 8), substituting into the equation y = ax² + c, we get: 8 = a(0)² + c 8 = c
From the second equation, we can see that c = 8. Using this information in the first equation, we substitute c to find a: 4 = a + 8 -4 = a
Therefore, the values for the parabola that passes through the given points are a = -4 and c = 8.
there were 816 people at a concert when a band starting playing
Answer: 408/x
Step-by-step explanation:
Total number of people = 816
after 1 song = 816/2 people remained
after 2 songs = 816/4 people remained
after 3 songs = 816/8 people remained
after x songs = 816/x*2 people remained
People that remained = 816/2x
where x is the number of songs
Simplified = 408/x
A television station broadcast a court trial in its entirety. During a news program, viewers were asked to go to the TV station’s website and state whether they thought the defendant was guilty or not guilty. Of the 1,840 viewers who gave their opinion, 1,521 felt that the defendant was not guilty. The viewers who registered their opinions constitute what type of sample?
Answer:
Voluntary response sample
Step-by-step explanation:
They constitute voluntary response sample. Voluntary response sample is a sample that is made up of volunteers.
Apart from voluntary response sample, it can also be called or known as self-selected sample.
A good example of this sample is the typical phone in polls u can witness on radio or tv stations where people call to air their views or make their stands known.
The voluntary response sample is most times chosen or selected by the people that will respond rather than the administrator of the survey.
One of the standout advantages or benefit of the voluntary response sampling is the convenience and probably the ethical considerations as well. The demerit is that this self-selected samples are sometimes subject to bias.
Sis worked 14.4 hours and saved $271.30 for a new bike.The equation 14.4x=271.30 could be used to represent how much aid earned per hour. What is the hourly rate, x, Sid worked to pay for the new bike? Round to the nearest hundredths place.
Answer:
The hourly rate she worked to pay for the new bike is $18.84.
Step-by-step explanation:
Given:
Sis worked 14.4 hours and saved $271.30 for a new bike.
The equation 14.4x=271.30 could be used to represent how much she earned per hour.
Now, to find the hourly rate she worked to pay for the new bike.
The hourly rate = [tex]x[/tex].
Number of hours = 14.4.
Money she saved = $271.30.
According to the question, the equation used to represent she earned per hour is:
[tex]14.4x=271.30[/tex]
Now, to solve the equation to get the hourly rate:
[tex]14.4x=271.30[/tex]
Dividing both sides by 14.4 we get:
[tex]x=\$18.840.[/tex]
Thus, the hourly rate rounding to the nearest hundredths place is $18.84.
Hence, the hourly rate she worked to pay for the new bike is $18.84.
The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran Y meters in X seconds. which two equations could be used to represent the relationship for Brandon and Ruben
Question;
Assumption:
Let us assume Brandon's running speed is = 18.30 and
Ruben's running speed is = 16.50 and
Answer:
The two equations that can represent the relationship between the meters and second for Brandon and Ruben are;
Brandon → Y₁ = 18.3·X₁ and
Ruben → Y₂ = 16.5·X₂
Step-by-step explanation:
The equation is of the form
Y = 17.45·X
That is Amy ran Y meters in X seconds
Therefore we have
[tex]17.45 = \frac{Y}{X}[/tex] or the value 17.45 is the running speed of Amy
Therefore, where the running speed of Brandon is 18.30 and the running speed of Ruben is 16.50 we have
Y meters ran by Brandon in X seconds given by
Y₁ = 18.3·X₁ and
For Ruben we have Y meters ran in X seconds given by
Y₂ = 16.5·X₂.
Answer:
Brandon : Y = BX, where B is the speed (positive integer) and X is the time in seconds.
Ruben : Y = RX, where R is the speed (positive integer) and X is the time in seconds.
Step-by-step explanation:
For Amy, the relationship between the distance run and the time taken is represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.
Therefore we have,
Y = 17.45X
Y/X = 17.45 m/s, where m/s is meter per second.
Let us assume that the speed for Brandon is represented by B and that of Ruben is represented by R.
For Brandon, we obtain Y/X = B m/s
Y = BX
For Ruben, we obtain Y/X = R m/s
Y = RX
High School Mathematics 5+3 pts
The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.
Interest.
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I =P rt, to answer the following questions,
How much interest will Charlie's initial investment eam over the 15-year period?
How much money does Charlie have after the 15 years?
Answer:
Interest: $390 | Total: $715
Step-by-step explanation:
To answer the first question, we can use the simple interest formula provided:
[tex]I=Prt[/tex]
P = initial balance
r = annual interest rate
t = time
First, change 8% into the decimal form:
8% -> [tex]\frac{8}{100}[/tex] -> 0.08
Now, plug in the values:
[tex]I=325(0.08)(15)[/tex]
[tex]I=390[/tex]
Charlie made $390 of interest. To find the total, just add that number to $325.
[tex]390+325=715[/tex]
Charlie's total money made was $715.
Final answer:
Charlie earns $390 in simple interest over 15 years. The total future amount, including the initial investment, is $715 after 15 years.
Explanation:
To determine how much interest Charlie's initial investment will earn over the 15-year period, we apply the simple interest formula, I = P rt, where I stands for interest, P is the principal amount, r is the rate of interest per year, and t is the time in years. Plugging in Charlie's investment details: I = $325(0.08)(15).
First, calculate the annual interest: $325 imes 0.08 = $26 per year. Then, multiply the annual interest by the number of years: $26 imes 15 = $390.
Therefore, the total simple interest earned over the 15-year period is $390.
To calculate the total future amount, add the interest earned to the initial investment: Total future amount = Principal amount + Interest = $325 + $390 = $715.
After 15 years, Charlie will have $715 in his account.
There are 3 red, 1 blue and 2 yellow marbles in a bag. Once a marble is selected it is not replaced. Find
Plred then yellow).
a) 1/6
b) 1/5
c) 5/6
d) 2/5
Final answer:
The probability of selecting a red marble followed by a yellow marble from a bag, without replacement, is 1/5. Option B) 1/5 is correct.
Explanation:
The probability of selecting a red marble and then a yellow marble without replacement from a bag is determined by multiplying the probability of the first event by the probability of the second event, given the first has occurred.
First, calculate the probability of drawing a red marble (P(red)). With 3 red marbles out of 6 total marbles, that probability is 3/6 or 1/2.
Next, calculate the probability of drawing a yellow marble after a red one has been drawn (P(yellow | red)). Now there are only 5 marbles left in the bag, 2 of which are yellow, so that probability is 2/5.
Finally, multiply these two probabilities to find the probability of both events occurring in sequence: P(red then yellow) = P(red) × P(yellow | red) = (1/2) × (2/5) = 2/10 or 1/5.
The probability of selecting a red and then a yellow marble from a bag containing 3 red, 1 blue, and 2 yellow marbles, without replacement, is 1/5.
Calculate the probability of selecting a red marble first. There are 3 red marbles out of a total of 6 marbles, so the probability is 3/6 or 1/2.After removing a red marble, there are now 5 marbles left (2 of which are yellow). The probability of then selecting a yellow marble is 2/5.Multiply the probabilities of the two events to find the combined probability: (1/2) * (2/5) = 2/10 or 1/5.Therefore, the probability of selecting a red marble and then a yellow marble without replacement is 1/5, which corresponds to option b).
Gracie is making 2 batches of muffins for her school’s annual bake sale. If one batch of muffins requires 1 cups of flour, how many cups of flour does Gracie need to make 2 batches of muffins?
Gracie needs 2 cups of flour to make 2 batches of muffins as each batch requires 1 cup of flour.
Explanation:The subject of this question is Mathematics as it involves multiplication of fractions to find the total amount of flour needed. As the question states, Gracie is making 2 batches of muffins and each batch needs 1 cup of flour.
To find the total amount of flour, we simply multiply the number of batches by the amount of flour per batch. In this case, that's 2 (batches) * 1 (cup of flour per batch). Therefore, Gracie needs 2 cups of flour to make 2 batches of muffins.
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In the process of making muffins, if one batch requires 1 cup of flour, then two batches would require 2 cups of flour.
Explanation:The question is asking about how much flour Gracie requires to bake 2 batches of muffins when one batch requires 1 cup of flour. This is a question about proportionality. If one batch of muffins needs 1 cup of flour, then 2 batches of muffins will require 2 cups of flour. This is because the amount of flour Gracie needs is directly proportional to the number of batches she bakes.
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Simplify the rational expression. State any restrictions on the variable.
Answer:
Step-by-step explanation:
The value of t must not be one that makes the denominator zero, hence must not be 8.
Translate this sentence into an equation.
72 is the sum of 20 and Chau's age.
Use the variable c to represent Chau's age.
Answer:
c+20=72
Step-by-step explanation:
Three moons are in the same circular orbit around a planet. The moons are ach 125,000 km from the surface of the planet, llocated at points a, b, and c. The planet is 15,000 km in diameter and angle abc= 90 degrees. How far is point a from point c?
Answer:
AC = 215,000 km
Step-by-step explanation:
I've attached a diagram that depicts this 3 moons and the planet in regards to their positions.
We need to find the distance AC as shown in the image.
We are given that AM and NC = 100,000 km
And diameter; MN = 15,000km
Thus,AC = MN + NC
AC = 15000 + 100,000 + 100000 = 215,000 km
A circle with area \blue{81\pi}81πstart color #6495ed, 81, pi, end color #6495ed has a sector with a central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, end color #9d38bd. What is the area of the sector?
Answer:
27π
Step-by-step explanation:
trust me, it's right lol
Alexis uses toy blocks to build a model of a building each toy block is 1 cubic inch The first three floors of the model are Made up of six rows of four blocks floors four through eight are made up of 4 rows of 4 blocks what is the volume of the model
Answer: The volume is 40 cubic inches
Step-by-step explanation: Each toy block is 1 cubic inch, which means each toy block is a cube with all sides (Length, width and height) measuring 1 inch. That makes the volume of each cube or block to be derived as;
Volume = L x W x H
Volume = 1 x 1 x 1
Volume = 1 cubic inch
The first 3 floors are made up of six rows of four blocks. This means, the first 3 floors has six by four blocks, that is, six times four blocks and that gives us 24 blocks.
The fourth to eighth floors are made up of four rows of four blocks. This also means four by four blocks, that is, four times four blocks and that gives us 16 blocks.
Having determined the amount of blocks used in the total model building as
1st - 3rd = 24 blocks
4th - 8th = 16 blocks
The total number of blocks used is 24 plus 16 which equals 40. Having been told that each block has a volume of 1 cubic inch, the volume of the model building equals 40 cubic inches.