Answer:
{4, 4, 8, 13, 16}
Step-by-step explanation:
If we have a set of N numbers in order:
{x₁, x₂, ..., xₙ}
The median is the middle number of the set.
The mode is the value that is repeated more times in the set
The mean is computed as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the range is the difference between the largest value and the smallest value.
Here we want 5 positive integers, so we have something like:
{x₁, x₂, x₃, x₄, x₅}
We know that the median is 8.
Then the middle value, x₃, is equal to 8.
We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:
x₁ = x₂ = 4
Replacing these in the set we have:
{4, 4, 8, x₄, x₅}
Now we know that the range is 12, and this was the difference between the largest and smallest value.
We know that the smallest value is 4, and the largest value is x₅, then we will have:
x₅ - 4 = 12
x₅ = 12 + 4 = 16
Then our set is:
{4, 4, 8, x₄, 16}
Finally, we know that the mean is 9.
Remember that the equation for the mean is:
[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
Then we need to solve:
[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]
[tex]45 = 32 + x_4[/tex]
[tex]45 - 32 = x_4 = 13[/tex]
Then the set of five positive integers is:
{4, 4, 8, 13, 16}
Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
what is the least common denominator of 1/3 and 4/7?? plsss explain
Answer:
21
Step-by-step explanation:
The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.
(FYI: In some cases, if the product is even, it may not always work to multiply them together)
Answer:
21
hope this helps
have a good day :)
Step-by-step explanation:
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24
7 multiples are 7, 14, 21, 28
so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21
find the equation of the striaght line passing through (3, 5) which is perpendicular to the line y=3x+2
Answer:
pls provide with a graph
Solve using the quadratic formula
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
Plz Help more than one !!!!!!!!!!!!!!!!!!
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
What is 5x5 answer for a cookie
Answer:
25
Step-by-step explanation:
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
For a left-tailed test, the critical value of z so that a hypothesis test would reject the null hypothesis at 1% significance level would be __________. Answer choices are rounded to the hundredths place. -1.03 -3.09 -2.33 -1.28
Answer:
C.-2.33
Step-by-step explanation:
We are given that
Significance level, [tex]\alpha =1[/tex]%=0.01
We have to find the critical value of z for a left-tailed test.
To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.
By using the z-table at significance level 0.01 for left-tailed test
The critical value of z at 1% significance level for left-tailed test
=-2.33
We get p-value by using z-critical value
P-value=0.0099<0.01
So, hypothesis test would be reject the null hypothesis at at 1% significance level.
Hence, the critical value of z=-2.33
Option C is true.
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
9514 1404 393
Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
PLEASE HELP!!! ASAP PLEASE !! IM BEGGING !!!!!!!
Answer:143!!
Step-by-step explanation:answer : 143
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Please tell me if I should answer with the point (10, 5) or some way else.
Please help asap
I might give brainliest
Answer:
5x = 11.
Step-by-step explanation:
-4x - 2y = -2
x - 2y = 9
Subtracting:
-4x - x - 2y - (-2y) = -2 - 9
-5x - 2y + 2y = -11
-5x = -11
5x = 11.
What is the value ? 10-8,10-2,10-12,10-14,10-25
Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 17 1/2 or decimal form = 17.5
Step-by-step explanation: Hope this helped!
Answer:
17.5 Statues im pretty sure.
Step-by-step explanation:
7/8 divided by 1/20
A publishing house is selling subscriptions to magazines for 10% off the original price.
If a subscription to Time Magazine usually costs $50, how much will it cost on sale?
A) $5
B) $45
C) $42
D) $55.56
Answer:
B. 45
Step-by-step explanation:
50x.10=5 discount
50-5=45
Andre wrote the inequality to plan his time. Describe what 3x + 10 ≤ 30 represent in this inequality.
Step-by-step explanation:
3x + 10 ≤ 30 3x ≤ 30 - 10 3x ≤ 20x ≤ 20/3area of a circle with a diameter of 8 inches
Answer:
8 divided by two equals the radius 4
3.14*4^2=50.24
Hope This Helps!!!
2. On this spinner, the pointer is spun once. The colour is recorded.
The pointer is spun a second time. The colour is recorded.
a) Suppose you win if you spin the same colour on both spins.
What are your chances of winning?
b) Suppose you win if you spin two different colours.
What are your chances of winning?
Answer:
A=25% B=75%
Step-by-step explanation:
So first lets make a sample space. (Im using red, blue, green, and yellow)
rr, rb, rg, ry
br, bb, bg, by
gr, gb, gg, gy
yr, yb, yg, yy
So for A its 4/16 or 1/4=25%
For B its 12/16=3/4=75%
Evaluate: 7( 14 - 8) - 6²
5
6
7
8
please help if possible 3
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
7(14 - 8) - 6²
Step 2: Evaluate
Exponents: 7(14 - 8) - 36(Parenthesis) Subtract: 7(6) - 36Multiply: 42 - 36Subtract: 6Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Find the value of given PSRQ is a parallelogram
Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.
This means angle r = 180-145 = 35 degrees.
36x -1 = 35
Add 1 to both sides:
36x = 36
Divide both sides by 36
X = 1
Answer:
Work attached below :D
Choose all of the following relationships that represent functions
I need help I have been stuck on this for years. Plz anything helps
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.
Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).
help with this please. Thanks
9514 1404 393
Answer:
3.0
Step-by-step explanation:
The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values
x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3
x ≈ 3.0
If f (x) is an exponential function where f(-2.5) = 9 and f(7) = 91, then find
the value of f(12), to the nearest hundredth.
pls help oooooooooooooopoo
9514 1404 393
Answer:
140°
Step-by-step explanation:
Angles 1 and 3 are "corresponding" angles, so are congruent.
∠1 = ∠3
20x +60 = 30x +20
40 = 10x . . . . . . . . . . . . subtract 20x+20
4 = x . . . . . . . . . . . . . . divide by 10
∠1 = 20x +60 = 20(4) +60 = 80 +60
∠1 = 140°
Answer:
140°
Step-by-step explanation:
Angle 1 and angle 3 are corresponding angles ;
Corresponding angles are equal ;
Hence,
Angle 1 = Angle 3
20x + 60 = 30x + 20
Collect like terms
20x - 30x = 20 - 60
-10x = - 40
x = 4
Angle 1 is thus :
20x + 60 ; x = 4
20(4) + 60
80 + 60
= 140°
Please help me I beg you, I don’t understand and no one wants to help
Answers:
x = 51
y = 39
===========================================================
Explanation:
The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.
One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.
Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y
x+y = 90
51+y = 90
y = 90-51
y = 39
Question 2
Suppose you put $5,000 in a savings account with an annual interest rate of 3%
compounded monthly for three years. What is the future value of this investment?
$5,280
$5,440
$5,470
$5,415
Answer:
5470
Step-by-step explanation:
[tex]5000(1+\frac{.03}{12})^{12*3}=5470.257[/tex]
The future value of the investment in the savings account with montly compounding is $5470.
What is the future value?When an investment is compouded monthly, it means that it increases in value every month.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate = 3%/12 m = number of compounding = 12 N = number of years5000 x ( 1.0025)^36 = $5470
To learn more about future value, please check: https://brainly.com/question/18760477
he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Answer:
90% confidence interval is ( -149.114, -62.666 )
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 259.23 x"₂ = 365.12
s₁ = 34.713 s₂ = 48.297
n₁ = 5 n₂ = 10
With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }
significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1
Since we are to assume that variance are equal and they are know, we will use pooled variance;
Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13
Now, pooled estimate of variance will be;
[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]
we substitute
[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]
[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]
[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [ 13 ]
[tex]S_p^2[/tex] = 25813.3692 / 13
[tex]S_p^2[/tex] = 1985.64378
Now the Standard Error will be;
[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]
[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]
[tex]S_{x1-x2[/tex] = √595.693134
[tex]S_{x1-x2[/tex] = 24.4068
Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771 { t-table }
So,
Margin of Error E = [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
Margin of Error E = 1.771 × 24.4068
Margin of Error E = 43.224
Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89
So, Limits of 90% CI will be; x₁ - x₂ ± E
Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114
Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666
Therefore, 90% confidence interval is ( -149.114, -62.666 )
The cost of a large cake at a bakery is $21.00. The cost of a small cake is
$8.25. The bakery also charges a sales tax of 8.25% and a delivery cost of
$10.50 for each order. The following expression represents the cost of an
(1) order
1.0825(21x + 8.25y) + 10.5
What does the term (21x + 8.25y) represent?
A А
the total cost of the order before delivery
the total delivery cost of the order
B
the total cost of the large cakes ordered
the subtotal cost of all the cakes ordered
before tax and delivery
Answer:
The Subtotal cost of all the cakes before tax and delivery
Step-by-step explanation:
(21x+8.25y)
21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.
8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.
Which graph represents a function?
Answer:
The 4th graph represents a function
Step-by-step explanation:
trust bro
4th graph is a function
Option D is the correct answer
