Answer:
Capacity of cube in liter = 15.625 liter
Step-by-step explanation:
Given:
Side of cube = 25 cm
Find:
Capacity of cube in liter
Computation:
Volume of cube = Side³
Volume of cube = 25³
Volume of cube = 15,625 cm³
We know that
1 cm³ = 0.001 liter
Capacity of cube in liter = Volume of cube in cubic cm x 0.001
So,
Capacity of cube in liter = 15,625 x 0.001
Capacity of cube in liter = 15.625 liter
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
Estimate: 4/5 - 1/2
Answer:
Answer:
it's 3 by 10
just take l.c.m
QUICKK!! GIVING BRAINLIEST TO CORRECT ANSWER
Step-by-step explanation:
Insufficient information!
however, volume will remain same in both of these figures!
FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS
Answer:
ok so a it' probabily 21 or a number between 1-10
Step-by-step explanation:
Answer:
q.10 142 degree
q.11 x=11
q.12 complementary angles
Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2
Answer:
A.
Step-by-step explanation:
1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);
2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then
3. P=5/10=0.5 (option 'A').
what degree of rotation about the origin will cause the triangle below to map onto itslef
Answer:
[tex]360^o[/tex]
Step-by-step explanation:
Given
The attached plot
Required
Which degree maps the triangle onto itself
The degrees that can map a point, line, or shape onto itself are:
[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]
i.e. multiples of 360
Looking at the given options
[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples
In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]
Find the number of 3-card hands that contain the cars specified. NO LINKS!! NOT MULTIPLE CHOICE!!!
5. 3 red cards
6. 3 aces
7. 3 face cards
8. 3 hearts
9. 3 of one kind
Answer:
Step-by-step explanation:
5.
26 red cards in a 52-card deck so 3 red cards combo = 26*25*24 = 15600
6.
4 aces in a deck so 3 aces = 4*3*2 = 24
7.
12 face cards in a deck so 3 face cards = 12*11*10 = 1320
8.
13 hearts in a deck so 3 hearts = 13*12*11 = 1716
9.
4 kinds in a deck: spade, heart, diamond and club so 3 of one kind = 4*1716
= 6864
Answer:
Step-by-step explanation:
5. half deck are red; 2nd card is 1 less n 3rd card 2 less: 26x25x24 = 15600
6. 4 aces total: 4x3x2 = 24
7. 3 face cards per suit; 12 total: 12*11*10 = 1320
8. 13 heart cards: 13x12x11 = 1716
9. 4 suits: 1716x4 = 6864
High school students from track teams in the state participated in a training program to improve running times. Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds. After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds. Let X represent the running time of a randomly selected student before training, and let Y represent the running time of the same student after training. Which of the following is true about the distribution of X-Y?a. The variables X and Y are independent, therefore, the meanis 34 seconds and the standard deviation is 10 seconds.b. The v ales X and Y are independent therefore, the meanis 34 seconds and the standard deviation is 50 secondsc. The variables X and Y are not independent, therefore, the standard deviation is 50 seconds and the mean cannot be determined with the information given.d. The variables and are not independent, therefore, the meanis 3 seconds and the standard deviation cannot be determined with the information givene. The variables X and Y We not independent, therefore, neither the mean nor the standard deviation can be determined with the informantion given.
Answer:
b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds
Step-by-step explanation:
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.
This means that [tex]\mu_X = 402, \sigma_X = 40[/tex]
After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.
This means that [tex]\mu_Y = 368, \sigma_Y = 30[/tex]
Which of the following is true about the distribution of X-Y?
They are independent, so:
[tex]\mu = \mu_X - \mu_Y = 402 - 368 = 34[/tex]
[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{40^2+30^2} = 50[/tex]
This means that the correct answer is given by option b.
The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds.
What is the subtraction between normal variables?
The two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before the training, the mean running mean time for the students to runing a mile was 402 seconds with standard deviation 40 seconds.
That is the [tex]\mu_x=402 , \sigma_x=40[/tex]
That is the after completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.
That is [tex]\mu_y=368,\sigma_y=30[/tex]
which of the following is true about the distribution of X-Y?
They are independent
Therefore we get,
[tex]\mu=\mu_x-\mu_y=402-368=34[/tex]
[tex]\sigma=\sqrt{\sigma_x^2-\sigma_y^2}\\\sigma=\sqrt{40^2-30^2}\\\sigma =50[/tex]
Therefore the option b is correct.
To learn more about the distribution visit:
https://brainly.com/question/24756209
This means that the correct answer is given by option b.
write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x
Answer:
1. 8 + t
2. g/15
3. 5b
4. 32 - x
Step-by-step explanation:
1. the sum of 8 and t
8 + t
2. the quotient of g and 15
g/15
3. the product of 5 and b
5b
4. the difference of 32 and x
32 - x
△JKL has vertices at J(−2, 4), K(1, 6), and L(4, 4). Determine whether △JKL is a right triangle
Answer:
Not a right triangle
Obtuse isosceles triangle.
Sides: J = 3.606 K = 6 L = 3.606
Step-by-step explanation:
hope helps you
have a nice day
Can someone help me pls pls help with this question
Answer:
D.
Step-by-step explanation:
The mean is 11,000
Find the sum sn of the arithmetic sequence a7＝14/3 d＝-4/3 n＝15
Answer:
[tex]S_{15}= 50[/tex]
Step-by-step explanation:
Given
[tex]a_7 = \frac{14}{3}[/tex]
[tex]d = -\frac{4}{3}[/tex]
[tex]n = 15[/tex]
Required
The sum of n terms
First, we calculate the first term using:
[tex]a_n = a + (n - 1)d[/tex]
Let [tex]n = 7[/tex]
So, we have:
[tex]a_7 = a + (7 - 1)d[/tex]
[tex]a_7 = a + 6d[/tex]
Substitute [tex]a_7 = \frac{14}{3}[/tex] and [tex]d = -\frac{4}{3}[/tex]
[tex]\frac{14}{3} = a + 6*\frac{-4}{3}[/tex]
[tex]\frac{14}{3} = a -8[/tex]
Collect like terms
[tex]a =\frac{14}{3} +8[/tex]
Take LCM and solve
[tex]a =\frac{14+24}{3}[/tex]
[tex]a =\frac{38}{3}[/tex]
The sum of n terms is then calculated as:
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]
Where: [tex]n = 15[/tex]
So, we have:
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + (15 - 1)*\frac{-4}{3})[/tex]
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + 14 *\frac{-4}{3})[/tex]
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} - 14 *\frac{4}{3})[/tex]
[tex]S_n = \frac{15}{2}(\frac{2*38}{3} - \frac{14 *4}{3})[/tex]
Take LCM
[tex]S_n = \frac{15}{2}(\frac{2*38-14 *4}{3})[/tex]
[tex]S_n = \frac{15}{2}(\frac{20}{3})[/tex]
Open bracket
[tex]S_n = \frac{15*20}{2*3}[/tex]
[tex]S_n = \frac{300}{6}[/tex]
[tex]S_n = 50[/tex]
Hence,
[tex]S_{15}= 50[/tex]
1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?
Answer:
4/5
Step-by-step explanation:
here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5
Find the quotient of z1 by z2. .Express your answer in trigonometric form.
Answer:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
Step-by-step explanation:
Given
[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]
[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]
Required
[tex]Quotient = \frac{z_1}{z_2}[/tex]
We have:
[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]
Divide 12 by 4
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
Solve using the following rule:
[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]
So, we have:
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]
[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]
Hence:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ
Answer:
a. Unsure
b. True
c. Unsure
d. True
A - False
B - True
C- False
D- True
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
What is the y-value when x = 8?
14
12
10
8
2.
0 2 4 6 8 10 12 14
2 6
Answer:
4
Step-by-step explanation:
go on the x-axis where you see 8
go up until you get to the line
go toward the y-axis to the left and read ( it said 4)
PLS HELP
a) What is the equation of line A
b) What is the equation of line B
Answer:
The equation of a line A:x=4The equation of a line B:y=8Step-by-step explanation:
i hope this helps u have a nice day .✌❤☘Find the median of the following numbers. 15, 28, 44, 42, 32, 48
Answer:37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
First, sort the data in increasing order.
15, 28, 32, 42, 44, 48
The number of data is even (there are 6 numbers), so there isn't one in the middle. In that situation, you average the middle 2 data (32 and 42).
(32 + 42)/2 = 74/2 = 37
If there IS a middle numbe, just use it.
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given
Answer:
Quantitative data
Step-by-step explanation:
The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."
Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.
Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.
solve 5|x – 4| ≥ –10
Answer:
The statement is true for any value of x
Step-by-step explanation:
see the steps below:)
Answer:
No solution
Step-by-step explanation:
just trust me
What is the value of the following expression when
y = 4?
y³ + 6
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
(5) A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Your answer
Submit
13.52 fluid were drunk by Andre
Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.
Answer:
Step-by-step explanation:
true
1. number of scarves
2. price per scarf
Step-by-step explanation:
Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5
Step-by-step explanation:
3 AND 12 MAY BE
HOPE IT HELP U ...
Reflect (‐10,4) across the x‐axis what is the reflected ordered pair
Answer:
(-10, -4)
Step-by-step explanation:
That is the ordered pair
solve the equation
f(x)=13⋅6x for x = 2
which sentence is true iready math
SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Answer:
6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.
Step-by-step explanation:
15 substituted in for f and x is the the number of summers.
Answer:
6
21
36
51
Illuminate test.
Round 27346 to 2 significant figures i need a step by step expansion
Answer:
27000
Step-by-step explanation:
We want to round 27346 to 2 significant figures.
Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.
Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.