What is the maximum volume of a pyramid that can fit inside a cube with sides that are 18 cm long?
Answer:
972 cm³
Step-by-step explanation:
the maximum volume is
⅓×18³= 972 cm³
An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express sponsored survey that found 355 of 546 business travelers use a laptop computer on overnight business trips
Answer:
a
The null hypothesis is \(H_o : p = 0.67\)
The alternative hypothesis is \(H_a : p \ne 0.67\)
b
The sample proportion is \(\^ p = 0.65\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is \(k = 355\)
The population proportion is \(p = \frac{2}{3} = 0.67\)
Generally
The null hypothesis is \(H_o : p = 0.67\)
The alternative hypothesis is \(H_a : p \ne 0.67\)
Gnerally the sample proportion is mathematically represented as
\(\^ p = \frac{ k}{n}\)
=> \(\^ p = \frac{ 355}{546}\)
=> \(\^ p = 0.65\)
solve 3(3x - 6) = 18
Steps to solve:
3(3x - 6) = 18
~Distribute left side
9x - 18 = 18
~Add 18 to both sides
9x = 36
~Divide 9 to both sides
x = 4
Best of Luck!
Answer:
x = 4
Step-by-step explanation:
Let's work on isolating (3x - 6). Start by dividing both sides of 3(3x - 6) = 18 by 3, obtaining:
3x - 6 = 6.
Next, add 6 to both sides:
3x = 12
Finally, divide both sides by 3:
x = 4
Solve the equation: (a + 2)^4- 20(a + 2)^2+ 64 = 0
Answer:
Answer is 7.
Step-by-step explanation:
(a + 2)^4- 20(a + 2)^2+ 64 = 0
2a^4- 20(2a)^2+ 64 = 0
16a-20(4a)+64=0
-4a -64 -4a -64
12a-84=0
+84 +84
12a=84
84/12=7
Please help I’ll give you extra points HELPS
Answer:
I believe it is the one on the bottom left.
Step-by-step explanation:
Find the distance between the points (-7,-6) and (4,-6)?
Answer:
Step-by-step explanation:
the distance between the two points are 11.
the slope is m=0
Answer:
11 units
Step-by-step explanation:
\(Solution,\\\\Let,\\\\(x_1,y_1)=(-7,-6)\\\\(x_2,y_2)=(4,-6)\\\\Now,\\\\Using\:distance\:formula,\\\\\hookrightarrow d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} } \\\\\hookrightarrow d=\sqrt{(4-(-7))^{2} +(-6-(-6))^{2} } \\\\\hookrightarrow d=\sqrt{(11)^{2} +(0)^{2} }\\\\\hookrightarrow d=\sqrt{121} \\\\\hookrightarrow d=11\: units\)
10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 find the mean.
The mean of the given data is 12.4
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.
Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12
Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14
The sum is = 10+12+11+13+14+12+13+14+13+12 = 124
Total number of data = 10
Mean = sum of the numbers/ total numbers of data
Mean = 124/10
Mean = 12.4
Hence, the required mean is 12.4
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Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box
Answer:
35%
Step-by-step explanation:
Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box, he wants to save 35%, how much does he plan to save, 35% easy. JK its 125 - 81.25 which is $43.75.
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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4. On Saturday, Ryan had 18 minutes
remaining on his cell phone plan. He used 1/2
of those minutes calling his friend. He talked
to his dad for another 4 minutes. After he
made those two calls, how many minutes did
he have left?
Answer:
he has 5 minutes left
Step-by-step explanation:
18÷1/2=9-4=5
Question 10
The graph of a function includes the points (4, 5) and (21, 39).
What is the rate of change of the function?
A
2
B
34
с
17
D
0.5
Answer:
Step-by-step explanation:
The rate of change, slope, m is
m=(y2-y1)/(x2-x1), we have points (4,5) and (21,39) so
m=(39-5)/(21-4)
m=34/17
m=2
So the rate of change is 2
What One Plus One? 1+1=?
The equivalent value of the equation A = 1 + 1 = 2
Given data ,
Let the equation be represented as A
Now , the value of A is
A = one plus one
On writing the expression in numerical form , we get
A = 1 + 1
On simplifying , we get:
And , the number line representation of the equation is
The "=" sign and terms on both sides must always be present when writing an equation.
A = 1 + 1 = 2
Therefore , the value of A is 2
where the value of A can be calculated from the distributive property as
A = 2 x 1
On simplifying the expression , we get
A = 2
Therefore , the value of A = 2
Hence , the equation is A = 2
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A model train is 15-
inches long. Each car in this train is
2 inches in length. How many cars are in the train?
BA 3 cars
B
4 cars
C С
5 cars
D6 cars
Answer:
Im very confused about the question because all the answers are too small but out of those pick 6 i'd say
Step-by-step explanation:
hope this helps!
b How
many
miles would
you 1 ride if you rode a quarter-century?
Answer:
A century ride is 100 miles, hence the "century" name. A 100-kilometer bike ride is called a "quarter century" and converts to roughly 62 miles.
# be care #
A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains at least .
Answer:
10%
Step-by-step explanation:
Since the question is not complete, I will be solving for probability of 3 9s
To solve this, we would be using the principle of combination, and thus
A deck of 52 hours has 4 nines, the probability that it contains at least 3 9s is mathematically represented by the equation.
P ( x ≥ 3 ) = ( 48 C 10 · 4 C 3 ) / ( 52 C 13 ) + ( 48 C 9 · 4 C 4 ) / ( 52 C 13 )
Remember I told us were going to be using the principle of combination. Well then
nCr = n!/r!(n - r)!
Now, applying the above stated formula to the equation, we have
48C10 = 48!/10!(38!)
4C3 = 4!/3!(1!)
52C13 = 52!/13!(39!)
48C9 = 48!/9!(39!)
4C4 = 4!/4!(0!)
Solving for each independently, we find that
= 0.0412 + 0.588 = 0.1
someone please help me with this problem please!
The maximum and minimum set of dimension for the rectangular field are-
Maximum (x, y) = (8.50, 22)Minimum (x, y) = (16.50, 11.33)What is defined as the term rectangle?A rectangle is a four-sided configuration with 90-degree angles at all four corners. A rectangle's sides are same length than the one opposite it.
The perimeter of the rectangular field is given in the form of equation;
4x + 3y = 100
Where the total area is given as;
y(x+x) = 374
2xy = 374
Solving the equation;
(4 x+3 y)² = 16x² + 12×2 x y + 9 y² = 10000
2 x y = 374,12.
2 x y = 12 × 374
2 x y = 4488
16x² + 9 y² = 10000 - 4488
16x² + 9 y² = 5512
Now, solve for the other set of value;
(4 x-3 y)² = 16x² - 12×2 x y + 9 y²
Put the value of 16x² + 9 y² = 5512.
(4 x-3 y)² = 5512 - 12×2 x y
Put 2xy = 374
(4 x-3 y)² = 5512 - 4488
(4 x-3 y)² = 1024
Case1: 4 x-3 y = √{1024}
4 x-3 y = 32
And, 4 x + 3 y = 100
Solving both;
8x = 132
x = 16.5
and y = (100 - 32)/6
y = 11.33
Case 2: 4 x - 3 y = -32
4 x + 3 y = 100
Solving both by elimination method.
x = 8.5 and y = 22
Thus, the minimum and maximum dimension for the rectangular garden are-
Maximum (x, y) = (8.50, 22)
Minimum (x, y) = (16.50, 11.33)
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A factory worker submits the weekly timesheet below. Time-and-a-half is paid for overtime hours over 44 hours a week. How many hours should the worker receive overtime pay for?
Monday
5:00 a.m. – 11:00 a.m.
12:00 a.m. – 4:00 p.m.
Tuesday
5:00 a.m. – 11:00 a.m.
12:00 a.m. – 4:00 p.m.
Wednesday
6:00 a.m. – 11:00 a.m.
12:00 p.m. – 6:00 p.m.
Thursday
6:00 a.m. – 11:00 a.m.
12:00 p.m. – 6:00 p.m.
Friday
5:00 a.m. – 11:00 a.m.
Answer:
8 HOURS EXTRA JUST DO P.E.M.D.A.S ;]
Step-by-step explanation:
#5 Construct an Angle Bisector through the angle below. Show all your work
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A textbook store sold a combined total of 259 chemistry and sociology textbooks in a week. The number of sociology textbooks sold was 81 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
178
259-81 you have to subtract
please help me on my question
Answer:
what question?...........
Please help I'll mark brainliest
Answer:
The godsStep-by-step explanation:
Heroes in Greek Mythology were men or women of special strength, courage, or ability. They were often of divine ancestry and noted for superhuman courageous acts.
What makes a hero in Greek Mythology?
Having one immortal parent. Being born into royalty. Having an unusual conception or birth. Being favored by the gods. Being the subject of a prophesy. Being abandoned at birth or while very young. Performing an amazing feat at a young age. Going on a quest.How do you find the domain and range of a dot graph?
The domain is determined by the set of x values covered by the graph, and the range is determined by the set of y values covered by the graph.
In the given question we have to find the domain and range of a dot graph.
A function's domain and range are really the collection of all possible outputs and inputs respectively. The range includes all of the function's output values, while the domain contains all possible input data from the set of real numbers.
If the graph of a function is known or available, it is fairly simple to determine its domain and range. The domain is determined by the set of x values covered by the graph, and the range is determined by the set of y values covered by the graph.
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It seemed like the graduation speech would last forever. Tyler leaned over to his father and asked in a discreet whisper, ''What time is it now?'' His father told him it was one-fourth of an hour after the last time he asked. If it was 1:15 p.m. the last time he asked, what time is it now?
Answer:
1:30 pm
Step-by-step explanation:
1/4 of an hour is 1/4 of 60 minutes, or 15 minutes
15 minutes past 1:15 would be 1:30 pm
Help me please I have to finish this by tonight
Answer:
If lengths AD and DC are congruent and they share another length which is D then they have to be congruent
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y-9x=-6
Answer: y=3x-2
Step-by-step explanation:
3y-9x=-6
First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.
Answer:
This equation in slope intercept form would be y = 3x - 2
Step-by-step explanation:
The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3
So the answer is y = 3x - 2
Ricky says each other fractions below would be to the right of one on a number line do you agree? Question choose yes or no.
A. 3/4
B. 5/4
C. 4/2
D. 1/3
Answer:
Step-by-step explanation:
no because they don't have the same dominator
approximately what would be the associated pulse rate?
SHOW STEPS
SHOW STEPS
Answer:
C 200
Step-by-step explanation:
y = 73e^kx
sub in x = .7 to find k = 1.07567
for x = 0.9 :
y = 73 e^(1.07567 * .9) = ~ 192 so I expect answer is 200
2/3 divided 1/4 , give answers in simplest form
Answer:
2 2/3
Step-by-step explanation:
Select the correct answer.
A right angle triangle where ABC angle is 90° and angle ACB is 45°.
Which trigonometric ratio will not have the same value as sin A?
A.
cos A
B.
sin C
C.
tan C
D.
cos C
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Trigonometric Ratios: Mastery Test
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Trigonometric ratio in option (c) tan C will not have the same value as sin A.
What are Trigonometric Functions?Trigonometric functions are defined as the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Given a right angled triangle ABC given below.
ABC angle is 90° and angle ACB is 45°.
Then angle BAC = 180° - (90° + 45°) = 45°
Since two angles are equal, it is an isosceles triangles.
So opposite sides to the equal angles are equal.
AB = BC
AC is the hypotenuse.
Sin A = Opposite side / Hypotenuse = BC / AC
(a) Cos A = Adjacent side / Hypotenuse = AB / AC = BC / AC
(b) Sin C = AB / AC = BC / AC
(c) Tan C = Opposite side / Adjacent side = AB / BC = BC / BC = 1, not equal to Sin A
(d) Cos C = BC / AC
Hence the option (c) is not equal to sin A.
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Can you help me simplify the square root of 500?
Given
\(\sqrt{500}\)To Determine: The simplification of the given radicals
Solution
Please note the radicals rule below
\(\sqrt{ab}=\sqrt{a\times b}\)\(\begin{gathered} 500=5\times100 \\ Therefore \\ \sqrt{500}=\sqrt{100\times5} \\ \sqrt{500}=\sqrt{100}\times\sqrt{5} \end{gathered}\)So,
\(\begin{gathered} \sqrt{500}=10\times\sqrt{5} \\ \sqrt{500}=10\sqrt{5} \end{gathered}\)Hence, the simplification is 10√5