Answer:
4
Step-by-step explanation:
Let 10x+y be the two digit number. y is the one's digit and x is the ten's digit.
Interchanging the digits gives the new number 10y+x.
We are given when we subtract these numbers we get 36.
(10x+y)-(10y+x)=36
Put like terms together
Remember the terms in the second are being subtracted from the terms in the first
(10x-x)+(y-10y)=36
9x-9y=36
Dividing both sides by 9 gives
x-y=4
The difference between the numbers is 4.
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Answer:
29.71
Step-by-step explanation:
Continuous Compounding Formula = P x e^(r x t)
= 181.25 x e^(0.29710000000000003 x 7) = 1450.37
Identifying partial, strict, and total orders.
For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.
(i) The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.
(j) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| ≤ |Y|.
(k) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| < |Y|.
Answer:
Step-by-step explanation:
From the given information:
(i)
The domain includes all runners in a race.
x is "R" y if x beats y
clearly, x "R" x implies no meaning and sense ⇒ irreflexiveIf x "R" y ⇒ y does not beat x. Thus; asymmetricIf x "R' y and y "R" Z ⇒ Transitive.Now, in a race; either x beats y or y beats x
So, x"R"y or y "R" x, but here at least two runners tied.
Thus, the relation is not in total order as x"R"y or y"R"x may not happen.
(j)
S = {a,b,c,d}
The domain = Power set of S
x"R"y if |X| ≤ |Y|
clearly |X| ≤ |X| ⇒ reflexive[tex]If \ |X| \le |Y| \ and \ |Y| \le |X|[/tex] ⇒ |X|=|Y| ⇒ Antisymmetric[tex]If |X| \ \le \ |Y| \ and \ |Y| \ \le \ |Z|[/tex] ⇒ |X| ≤ |Z| ⇒ TransitiveThus, the relation is a partial order.
(k)
S = {a,b,c,d}
The domain = Power set of S
x"R"y if |X| ≤ |Y|
clearly |X| < |X| ⇒ Irreflexive[tex]\text{If } |X| < |Y| \ and \ |Y| < |X|} \implies Antisymmetric[/tex][tex]|X| < |Y| \ and \ |Y| < |Z| \implies |X| < |Z|[/tex] ⇒ TransitiveThus, the relation is of strict order but not of the total order.Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
How can the mean of the values in a numerical data set be calculated?
A
Order the values in the data set from least to greatest, then find the middle value.
B. Find the sum of the values in the data set, then divide by the middle value in the set.
с
Find the sum of the values in the data set, then divide that sum by the number of values in the set
D
Order the numbers in the data set from least to greatest, then subtract the least value from the greatest value.
Answer:
C
Step-by-step explanation:
Mean is the average. To find mean, add all the numbers in a data set, then divide by the number of values.
Example: 1,2,3,4,5
Mean: 1+2+3+4+5= 15
Number of values: 5
15/5 = 3
Mean is 3
choose the correct answer.
Answer:
1) D: none of them
2) C: ae^(ax)
3) A: cot x
4) A: (3,0)
Step-by-step explanation:
1) the degree of the denominator is more than that of the numerator, thus as n approaches infinity, the function would approach zero. The answer is not available among the options
2) y = e^(ax)
dy/dx = ae^(ax)
3) y = log(sin x)
dy/dx = (1/sin x) × d(sin x)/dx
dy/dx = cosx/sin x
dy/dx = 1/(sin x/cos x)
We know from trigonometry that sin x/cos x = tan x. Thus
dy/dx = 1/tan x
dy/dx = cot x
4) An inflection point is usually the point where the second derivative is equal to zero.
f(x) = x³ - 9x²
f'(x) = 3x² - 18x
f"(x) = 6x - 18
Equating to zero gives;
6x - 18 = 0
x = 18/6
x = 3
Thus the inflection point is (3,0)
- A backpack at the store costs $24.94. A pack of markers at the same store costs $3.82. You pay for both the backpack and pack of markers with a $50 bill. How much change do you receive?
Answer:
21.24
Step-by-step explanation:
24.94+3.82=28.76
50-28.76=21.24
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Answer:
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
3) D.f= n1+n2-2= 32+28-2= 58
Step-by-step explanation:
The null hypothesis is that there is no difference in population means (masterâs degree minus bachelorâs degree)
The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Putting the values
Sp= 12,250,000( 31) + 16,000,000(27)/ 31+27
Sp= 379,750,000- 432,000,000/58
Sp= -52,250,000/58
Sp= -900,862.1
Now Putting the values in the t- test
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)
t= -3000/ -233,120.21
t= 0.012868
3) D.f= n1+n2-2= 32+28-2= 58
for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017
4) Since the calculated value of t= 0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.
Find the volume in cubic inches
H-12 in.
L-8 in.
W-5in.
Answer:
480[tex]in^3[/tex]
Step-by-step explanation:
Volume of a Rectangular Prism = L x W x H
12 x 8 x 5 = 96 x 5 = 480
480 in^3
ASAP pls it’s due tomorrow
Answer:
D I think, that's the only one that makes since.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Opposite sides of a rectangle are equal and Parallel
Below is the graph of f(x) = 3 log10 m. How would you describe the graph of
g(x)= 9 log10 x?
3+
2
1
-3
-2
-1
2
3
4
5
-
-2-
-3
O A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
D. g(x) stretches f(x) vertically by a factor of 3
Answer: C
Step-by-step explanation:
what is the missing number?
Answer:
y = 1x + 2
Step-by-step explanation:
y = 3, x = 1
=> 3 = 1 x 1 + ?
=> 3 = 1 + ?
=> ? = 2
Try again:
y = 4, x = 2
=> 4 = 1 x 2 + ?
=> 4 = 2 + ?
=> ? = 2 (correct)
- So, the equation will be: y = 1x + 2
Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?
A 10 times
B 30 times
C 45 times
D 75 times
Answer:
30
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
mark me brainlest
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.
Create 4 one-step equations
that have the same solution,
Equations:
1 addition
1subtraction
1 multiplication
1 division
Help pls!!!! Pls explain how you got the answer if you can!!! Have a blessed day
Also if you don’t know the exact answer answer and comments. And pls don’t waste my points this assignment is very important.
Answer:
B. 0, 1, 2, 3
Step-by-step explanation:
If n were to be 4, the expression would then be incorrect because 36 is not greater than itself. However, if n was 0, 1, 2, or 3, each value would be less than 36, which is what we are looking for.
36 > 9n
36 > 9(0)
36 > 0
Correct!
36 > 9n
36 > 9(1)
36 > 9
Correct!
36 > 9n
36 > 9(2)
36 > 18
Correct!
36 > 9n
36 > 9(3)
36 > 27
Correct!
36 > 9n
36 > 9(4)
36 > 36
Incorrect! This expression would only be correct if the sign was representative of greater than or equal to, rather than just equal to.
I hope this made sense! Have an amazing day. :)
Find the values of m and n.
Answer:
The m is equal to 44 and n is 39 .
hope it helps you
The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for w, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
225w
Step-by-step explanation:
volume formula: w*r²*9
w*5²*9
25*9w
225w
Answer: V=707
Step-by-step explanation:
What are the slope and y-intercept of the line?
Answer:
i justr f arted really loud LOL
Step-by-step explanation:
Answer:
the choice below, with slope= app. 1.33!
Step-by-step explanation:
» How many thirds are in a whole slice of toast?
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
The ordered pair (0,-6) would be located on which axis?
Answer:
0 on the x axis and -6 on the y axis i think
Answer:
It would be located on the Y-axis
Step-by-step explanation:
If you plot 0,-6 on a graph, you start on the origin since the x-axis is 0, and for the -6, you go DOWN 6 units, which is on the Y-axis. Therefore, the answer the y-axis.
Rearrange the following times of the day from earliest to latest. 10:30am 04:25 10:45pm 22:15 4:15pm 16:05 4:30 am
Answer:
04:25 is the earliest because it is 4:25 am using 24 hour clock then, 4:30 am, 10:30a.m, 16:05 because 16:05 is the same as 4:05 pm , 4:15 pm, then 22:15 because in 24 hour clock is means 10:15 pm and the latest is 10:45pm
Pls help extra points
Answer:
B
the middle one
Step-by-step explanation:
Help!
Write and evaluate an expression for the problem.
You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?
An expression is:
The change received is:$
Answer: The change received is $8.00
Step-by-step explanation:
20-12=8
50 points and brainliest!
a and b are positive integers and a-b=2. Evaluate the following: 27^1/3^b/9^1/2^a
(a picture will be provided as well)
Answer:
Step-by-step explanation:
[tex]\frac{27^{1/3b}}{9^{1/2a}}[/tex]
We know that 27^(2/3) = 9. So:
= [tex]\frac{27^{1/3b}}{27^{1/3a}}[/tex]
note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)
[tex]= 27^{1/3b-1/3a}=27^{1/3(b-a)} = 27^{1/3(2))} = 9[/tex]
9 is the answer
Answer:
1/9Step-by-step explanation:
a - b = 2
[tex]27^{1/3b} / 9^{1/2a}[/tex] =[tex](3^3)^{1/3b} / (3^2)^{1/2a}[/tex] =[tex]3^{b} / 3^a[/tex] =[tex]3^{b - a}[/tex] =[tex]3^{-2}[/tex] = 1/9Find the equation of the line.
Use exact numbers.
y=[ ]x+[ ]
Answer:
y = -3x + 7
Step-by-step explanation:
Points on the graph: (0, 7) and (3, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2-7)/(3-0)
m=(-9)/3
m = -3
Slope-intercept:
y - y1 = m(x - x1)
y - 7 = -3(x - 0)
y - 7 = -3x
y = -3x + 7
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
to solve.
What are the solutions of the equation x4 + 95x2 - 500 = 0? Use factoring
Answer:
As a student, what are your insights about this lesson? Write an essay on your
toughts about the types of drugs/subtance of abuse, discussing its description and
effects
What would be my first step? 3 + 4 x 6 - 4 =
WILL GIVE BRANLIEST!!!!
Answer:
The first step would be to multiply 4 by 6
Step-by-step explanation:
4*6 = 24
24 + 3 = 27
27 - 4 = 23
10 POINTS FOR THE RIGHT ANSWERS PLEASE HELP MEEE
You roll a die and then flip a coin. What is the
probability, as a percent, of getting an even
number on the die and then a head on the
coin?
Answer:
1/2
Step-by-step explanation:
If you need an explanation then let me know in the comments
Answer:
25%
Step-by-step explanation:
You have a 1/2 chance of getting an even number and a 1/2 chance of getting heads, so you multiply these fractions together and get 1/4, which is equal to 25%