Answer:
52 inches2
Step-by-step explanation:
The figure is a rectangular solid with length (L) = 4 in., width (W) = 3 in. and height (H) = 2 in. To find the surface area, first find the area of each side and then add them together.
Sides 1 & 2 will have an area equal to L × W = 12 inches2.
Sides 3 & 4 will have an area equal to L × H = 8 inches2.
Sides 5 & 6 will have an area equal to W × H = 6 inches2.
The total surface area is
(2 × 12 in.2) + (2 × 8 in.2) + (2 × 6 in.2)
= 24 in.2 + 16 in.2 + 12 in.2
= 52 inches2.
A movie theater sells tickets for $12 for adults and $7 for children.
On one weekend, 267 people visited and the total ticket sales was $2379
How many adults attended?
Answer:
102 adults, 165 children
Step-by-step explanation:
Let a be the number of adults, and let c be the number of children. We set up and solve this system of equations:
a + c = 267---------> 7a + 7c = 1869
12a + 7c = 2379------->12a + 7c = 2379
-----------------------
5a = 510
a = 102, c = 165
A picture frame is designed to take a 6cm x 8cm picture. The border is the exact same width all round and its area is 32 cm^2. How wide is the border?
all ratios equivalent to 5:1.
Answer:
10:2, 15:3, 20:4, etc.
Step-by-step explanation:
Well just keep going, they all simplify back to 5:1
The required equivalent ratios are,
\(10:2\\15:3\\20:4\\\)
Equivalent Ratios:Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.
For example, 1:2 and 2:4 are equivalent ratios.
The given ratio is,
\(5:1\)
Now, as we know that we can convert the given ratio into fractions.
\(\frac{5}{1}\)
Now, for finding the equivalent ratios multiply the same constant in both the numerator and denominator.
So, the required ratios are,
\(\frac{5\times2}{1\times 2} =\frac{10}{2}=10:2\\ \frac{5\times3}{1\times 3} =\frac{15}{3}=15:3\\\frac{5\times4}{1\times 4} =\frac{20}{4}=20:4\\\)
And so, on.
Learn more about the topic Equivalent Ratios:
https://brainly.com/question/25465874
You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches
What number is exactly halfway between 212,900 and 213,500?
Step-by-step explanation:
(212900 + 213500) ÷ 2
426400/2 = 213200
The number exactly halfway between 212,900 and 213,500 is 213,200.
Finding the number that is halfway between two given values is a fundamental concept in mathematics, and it involves a simple calculation using basic arithmetic.
To find the number that is exactly halfway between two values, you need to add the two values together and then divide the sum by 2.
In this case, 212,900 + 213,500 = 426,400.
Dividing 426,400 by 2 gives us 213,200, which is the number exactly halfway between the two given values.
Therefore, 213,200 is the answer to the question.
Know more about how to calculate halfway between two numbers on this link
https://brainly.com/question/17239912
Which relationship describes angles 1 and 2?
(Correct answer gets brainliest.)
Answer:
angle 1 = angle 2
Step-by-step explanation:
1 and 2 are corresponding angles meaning if they are equal but on opposite sides. If you now for example angle 1 = 20 , 2= is also 20. This is helpful to know if you want to solve for x on one of these angles
Answer:Complimentary angle
Step-by-step explanation:
Franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green marbles. He designs a binomial experiment by drawing a marble from the hat, recording whether the marble is green, and then laying the marble aside. He then repeat the process seven times. Which statement must be true?
A. The experiment is not a binomial experiment because there is not a fixed number of drawings.
B. The experiment is not a binomial experiment because the probability of choosing a green marble is the same for each drawing.
C. The experiment is not a binomial experiment because the probability of choosing a green marble is not the same fo each drawing.
D. The experiment is not a binomial experiment because there are only two possible outcomes for each drawing.
Answer:
C: The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.
Step-by-step explanation:
Just took the Binomial Distribution Quiz on Edge.
The experiment is not a binomial experiment because the probability of choosing a green marble is not same for each drawing
What is binomial experiment ?
An experiment consisting of a fixed number of independent trials each with two possible outcomes, success and failure .
The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each as after drawing the marble from hat , he is laying the marble aside and not putting it back into the hat which altered the probability every time because total number of marbles are decreasing after every turn of drawing.
hence , correct answer is
option c
lets us learn more about Binomial Experiment
https://brainly.com/question/15351475?referrer=searchResults
#SPJ2
students were asked to choose a city if 4/7 of them chose new york and 1/7 chose los angeles what fraction chose either new york or los angles
Answer: 5/7 of the kids chose New York or L.A.
Step-by-step explanation:
All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:
4/7 + 1/7 = 5/7
a recent study suggested that 70% of all eligible voters will vote in the next presidential election. suppose 20 eligible voters were randomly selected from the population of all eligible voters. which of the following conditions are necessary for this problem to be analyzed using the binomial random variable? group of answer choices
The conditions necessary for this problem are
1)The trials are independent,
2) There are only two possible outcomes for each trial
3) The probability of success is constant
4) The sample size is fixed
For this problem to be analyzed using the binomial random variable, the following conditions must be met:
The trials are independent: Each selection of an eligible voter must be independent of the other selections, meaning that the outcome of one selection does not affect the outcome of another.
There are only two possible outcomes for each trial: In this case, the two possible outcomes are that the selected voter will vote or will not vote in the next presidential election.
The probability of success is constant: The probability of success (i.e., the probability that a selected voter will vote) must be the same for each trial.
The sample size is fixed: The number of trials, or the number of selected eligible voters, must be fixed in advance.
Learn more about binomial random variable here
brainly.com/question/30480240
#SPJ4
The total population of ethnic Southeast Asian students from Burma, Laos, Thailand, Vietnam, and Kampuchea at your university is currently 100 students. The administration of the university wants to increase the diversity of the student body and decides to increase the number of students from Southeast Asia by 8 percent each year, (over the prior year's enrollment) for a period of 15 years. How many students from Southeast Asia will be enrolled at your university after the 15 year period
Answer:
the number of students that enrolled after 15 year is 317
Step-by-step explanation:
The computation of the number of students that enrolled after 15 year is shown below;
We know that
Future value = Present value × (1 +rate of interest)^number of years
= 100 × (1+8%)^15
= 100 × 1.08^15
= 317
Hence, the number of students that enrolled after 15 year is 317
The same should be considered and relevant
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Evaluate the expression 2m + 9p - 11 when m = 3 and p = 4.
a
31
b
78
c
41
d
107
Answer: A: 31
Step-by-step explanation:
2m+9p-11
(plug in m=3, p=4)
2(3)+ 9(4)-11
6+36-11
42-11
31
given h(x) = -3x - 2 solve for x when h(x) = 1
Answer:
-5
Step-by-step explanation:
h(x) = -3x - 2
h(x) = 1
[ just put '1' in place of every 'x' ]
-3(1) -2
= -3 -2
= -5 (answer)
Answer:
The answer is (-5)
Step-by-step explanation:
h(x) = -3x – 2; h(x) = 1
h(1) = -3(1) – 2
h(1) = -3 – 2
h(1) = -5
Thus, The answer is (-5)
-TheUnknownScientist 72
Is 218 the correct answer, please this is worth a lot
Answer:
you're right it's 218
Step-by-step explanation:
you simply just put 5 instead of n in the equation then calculate. It's simple as that!
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answer: I think its C
Step-by-step explanation:
The table below represents a frequency distribution for the age (in years) of employees at a particular company.
Age (in years) Frequency
23-29
25
30-36
41
37-43
37
Use the table to answer the following questions.
Your answers should be exact numerical values
The class width used for the frequency distribution is
The class midpoint for the class 23-29 is
The class midpoint for the class 30-36 is
The class midpoint for the class 37-43 is
Check
The class width used for the frequency distribution is 6.
The class midpoint for the class 23-29 is 26.
The class midpoint for the class 30-36 is 33.
The class midpoint for the class 37-43 is 40.
To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:
23-29
30-36
37-43
For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:
Class width = 29 - 23 = 6
So, the class width for the frequency distribution is 6.
To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.
For the class 23-29:
Class midpoint = (23 + 29) / 2 = 52 / 2 = 26
For the class 30-36:
Class midpoint = (30 + 36) / 2 = 66 / 2 = 33
For the class 37-43:
Class midpoint = (37 + 43) / 2 = 80 / 2 = 40
So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.
For more such questions on class width visit:
https://brainly.com/question/30459609
#SPJ8
A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.
For the angles to be parallel, the value of x is of x = 28, and the angle is of 132º.
What is needed for the slats to be parallel?The angles need to have the same measure. Their measures are of 3x + 48 and 6x - 36, hence:
3x + 48 = 6x - 36
3x = 84
x = 84/3
x = 28.
Hence the measure of the angle is:
3x + 48 = 3 x 28 + 48 = 132º.
More can be learned about parallel angles at https://brainly.com/question/16742265
#SPJ1
Example # 2:
Find
Za
for the confidence level 90%.
2
Example # 3:
Find 2, for the confidence level 99%.
Answer:
(a) 1.645
(b) 2.5758
Step-by-step explanation:
The complete question is: Find Z(\(\alpha\)/2) for the confidence level 90% and for the confidence level 99%.
Firstly, as we know that \(\alpha\) represent the level of significance, i.e;
Level of significance = 1 - confidence level
(a) We are given the confidence level of 90%, so;
Level of significance = 1 - 90%
= 1 - 0.90 = 0.10 or 10%
Now, \(Z_(_\frac{\alpha}{2}_)\) = \(Z_(_\frac{0.10}{2}_)\) = \(Z_(_0_._0_5_)\)
This means that we have to look for a critical value in the z table at a 5% level of significance which gives us a value of 1.645.
(a) We are given the confidence level of 99%, so;
Level of significance = 1 - 99%
= 1 - 0.99 = 0.01 or 1%
Now, \(Z_(_\frac{\alpha}{2}_)\) = \(Z_(_\frac{0.01}{2}_)\) = \(Z_(_0_._0_0_5_)\)
This means that we have to look for a critical value in the z table at a 0.5% level of significance which gives us a value of 2.5758.
Find the measure of
What is the ratio of consonants to syllables?
PTERODACTYL
Answer:
Step-by-step explanation:
Pterodactyl has 8 consonants and 4 syllables. So the ratio is 8 to 4, or 2 to 1, if reduced.
Please mark as brainliest if this helped you, and let me know if you have any questions. :)
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
Which of the following statements is not true about the numbers 7 and -7? They are opposite numbers. They form a zero pair. They have the same absolute value. They have a sum of -14.
We need to find which statement is not true:
Let us check each statement:
-They are opposite numbers.
Opposite numbers have the same distance away from zero. Hence, 7 and -7 are opposite numbers.
-They form a zero pair:
7-7 =0, the statement is true.
- They have the same absolute value
The absolute value is the not negative value no matter the sign.
Hence, l7l= 7 and l-7l= 7.
-They have a sum of -14.
Then:
7+(-7) = 0
Therefore, the last statement "They have a sum of -14" is not true.
if (x-d) is a factor of p(x)= 2x^3 -dx^2+(1+d^2)x+5, what is the value of d
Answer:
3 is the answer
Step-by-step explanation:
cause if u do beldams
The value of d that makes (x - d) a factor of p(x) is d = -5.
Given that we need to find the value of d if (x-d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\).
If (x - d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\), it means that if we substitute (x = d) into the polynomial, the result should be equal to zero.
In other words, p(d) = 0.
Let's find the value of d by setting p(d) to zero and solving for d:
\(\mathrm{p(d)= 2d^3 -d\cdot d^2+(1-d^2)d+5}\)
To find d, we set p(d) equal to zero:
\(\mathrm{ 2d^3 -d\cdot d^2+(1-d^2)d+5 = 0}\)
Now, let's simplify this equation and solve for d:
0 = 2d³ - d³ - d³ + d + 5
0 = 2d³ - 2d³ + d + 5
0 = d + 5
Now, isolate d:
d = -5
So, the value of d that makes (x - d) a factor of p(x) is d = -5.
Learn more about polynomial click;
https://brainly.com/question/11536910
#SPJ4
if h(x) =5 for the function h(x) =2x+1, what is the value of x?
12
11
2
Answer:
2
Step-by-step explanation:
5=2x+1
5-1=2x
2x=4
x=2
Answer:
x = 2
Step-by-step explanation:
2x+1 = 5
-1 -1
-------------
2x = 4
x = 2
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
use the distributive property to create an equivalent expression.
7(x +2y + 3z)
Pls help
7 (x + 2y + 3z)
Distribute 7
7x + 7 x 2y + 7 x 3z
Calculate
7x + 14y + 21z should be your answer.
Describe the slope of the line
Find the slope.
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
17
32
What is 17/32 as a decimal?
Answer:
0.53125
Step-by-step explanation:
17/32 equals 0.53125
Help please! Show all your work.
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
rated Math (Ist quarter)
Which expression uses the distributive property to show equivalent expressions for this situation?
O 54 + 42 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
O 54 + 42 = 6(9 + 7)
Answer:
54+42=6(9+7)
Answer:
yes
Step-by-step explanation:
2 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
O 54 + 42 = 6(9 + 7)