In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
10, 22, 6, 7, 19, 5, 27
Step 02:
median:
ordered data set:
5 , 6 , 7 , 10 , 19 , 22 , 27
---
median = 10
The answer is:
median = 10
3
Graph y = 3/4X + 2
Answer:
Step-by-step explanation:
For some reason my other one didn't post the file
If this helped could I get brainliest please?
Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Hans’ $2000 after 10 years? 4. What is the balance of Max’s $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition?
Answer:
Step-by-step explanation:
Albert:
$1000 earned 1.2% annual interest compounded monthly
= 1000 (1+.001)120
(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)
$500 lost 2% over the course of the 10 years
= 500 (.98)
$500 grew compounded continuously at rate of 0.8% annually
= 500 e^008(10) 10 years interest .008 (in decimal form)
Add these three to see how Albert did with his investments
The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To determine the balance of Albert’s $2000 after 10 years :
If the amount of $1000 at 1.2 % compounded monthly,
A = P(1 +r/n)ⁿ n = 10 years
here P = $1000 and r = 1.2
A = 1000(1 + 0.001)¹²⁰
A = $1127.43
If Albert $500 losing 2%
So 0.98 × 500 = $490
If $500 compounded continuously at 0.8%
So A = P\(e^{rt}\)
A = 500\(e^{0.008\times 10}\)
A = 541.6
So the balance of Albert’s $2000 after 10 years :
Total balance = 1127.43 + 490.00+ 541.64 = $2159.07
To determine the balance of Marie’s $2000 after 10 years:
If 1500 at 1.4 % compounded quarterly,
A = 1500(1 + 0.0035)⁴⁰ = $1724.99
If $500 Marie’s gaining 4 %
So 1.04 × 500 = $520.00
So the balance of Marie’s $2000 after 10 years
Total balance = 1724.99 + 520.00 = $2244.99
To determine the balance of Hans’ $2000 after 10 years:
If $2000 compounded continuously at 0.9%
So A = 2000\(e^{0.009\times 10}\)
A = $2188.3
To determine the balance of Max’s $2000 after 10 years :
If $1000 decreasing exponentially at 0.5 % annually
So A = 1000(1 - 0.005)¹⁰= $951.11
If $1000 at 1.8 % compounded bi-annually
So A = 1000(1 + 0.009)²⁰ = $1196.29
So the balance of Max’s $2000 after 10 years
Total balance = 951.11 + 1196.29 = $2147.40
Therefore, Marie is $10,000 richer at the end of the competition.
Learn more about Compound interest here :
brainly.com/question/25857212
#SPJ2
each basket of corn holds 2.25 pounds uf harold sells 15 baskets of corn how many pounds of will he have sold?
Step-by-step explanation:
15×2.25
pounds sold = 33.75
100 points please help
Answer:
She has $3.74 in quarters. I'm kind of confused but hopefully this helps??
Step-by-step explanation:
0.75 x 5= $3.75
$3.75/0.25= 15 quarters
Answer:
l
Step-by-step explanation:
simulateneous equations
7p +9q = 15
2p + 3q=3
Answer: q = -3, p = 6
Step-by-step explanation:
Multiply second equation by 3. 6q + 9q = 9. Equation one minus equation two which gives you p = 6. Then plug it in the second equation. 12 + 3q = 3. 3q = -9. q = -3.
A number p is less than 6 and greater than 2. What’s the inequality?
Answer: 2<p<6
Step-by-step explanation:
p < 6
p > 2
if we were to flip that second one, p > 2, we get 2 < p.
now we combine that with the other inequality.
2 < p < 6
Rotate the point (3,2) clockwise 90 degrees about the point (0,1)
The given point is (3,2).
The transformation is a rotation 90° clockwise around the point (0,1).
The rule for this transformation would be
\((x,y)\rightarrow(y,-x)\)So, the transformation would be
\((3,2)\rightarrow(2+1,-3+0)\)\((3,2)\rightarrow(3,-3)\)Therefore, the final position of the given point is (3,-3).
someone please help.
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
Learn more about expressions here:
https://brainly.com/question/1859113
#SPJ1
Which is greater -2 1/4 or -1.9?
Answer:
-1.9 Should be correct!
Step-by-step explanation:
Answer:
-1.9
Step-by-step explanation:
because it just is ok
Three coins are tossed simultaneously. Let X be the number of heads that will turn up. How many possible values does X have?
1/2
HHH HHT THH HTH Rest of then are: TTT TTH THT HTT so the answer is 1/2
y=-2 what is the slope
Answer:
Slope = 0
Step-by-step explanation:
This is a HORIZONTAL line ....horizontal lines have slope = 0
VERTICAL lines like x =2 have UNDEFINED slope.
Answer:
m = 0
Step-by-step explanation:
This type of linear equation would be a horizontal line when graphed meaning that the slope would equal zero.
So in the equation y = -2, the slope is missing as the ' mx ' because it is horizontal.
This diagram is a straightedge and compass construction. A is
the center of one circle, and B is the center of the other. A
rhombus is a quadrilateral with 4 congruent sides. Explain why
quadrilateral ACBD is a rhombus.
From the construction, quadrilateral ACBD is a rhombus because circles A and B have the same radius.
A chord is a line that do not pass though the center of a circle and joins two points on its circumference. It majorly divides the circumference of a circle into major and minor arcs.
With the given conditions in the question, quadrilateral ACBD sides ae chords. As regards the circles, sides AC and AD are chords circle B. Also, CB and BD are chords on circles A. So that the sides of quadrilateral ACBD are equal.
The main reason why the quadrilateral is a rhombus is because circles A and B have the same diameter, thus the same radius.
Visit: https://brainly.com/question/20594815
Using trigonometry, work out the size of angle x in
the right-angled triangle below.
Give your answer in degrees to 1 d.p.
5.3 m
8.2 m
x
Answer:
40.3°
Step-by-step explanation:
sin x/ (5.3) = sin 90/ (8.2)
sin x = (5.3 sin 90) / 8.2
= 5.3/8.2
x = arcsin (5.3/8.2)
= 40.3° to 1 dp
The measure of angle x using Trigonometry is 40.263215° or 40.3.
Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.
Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.
From the figure,
Perpendicular = 5.3 m
Hypotenuse = 8.2 m
Using Trigonometry
sin x = P / H
sin x = 5.3/ 8.2
sin x = 0.6463
Using Inverse Trigonometry
x = \(sin^{-1}\)(0.6463)
x= 40.263215°
Thus, the measure of angle x is 40.3.
Learn more about Trigonometry here:
https://brainly.com/question/12068045
#SPJ4
If the radius of a circle is 10cm, what will be the area of the circle?
Answer:
314
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Question 1 (1 point)A medical doctor uses a diagnostic test to determine whether a patient has arthritis. A treatment will be prescribed only if the doctor thinks the patient has arthritis. The situation is similar to using a null and an alternative hypothesis to decide whether to prescribe the treatment. The hypotheses might be stated as follows.H0 : The patient does not have arthritisHa : The patient has arthritisWhich of the following represents a Type II error for the hypotheses?a Failing to diagnose arthritis in a patient who does not have arthritisb Prescribing treatment to a patient regardless of the diagnosisc Diagnosing arthritis in a patient who has arthritisd Failing to diagnose arthritis in a patient who has arthritise Diagnosing arthritis in a patient who does not have arthritisQuestion 2 (1 point)A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true?a Neither the probability of a Type II error nor the power of the test would change.b Both the probability of a Type II error and the power of the test would decrease.c Both the probability of a Type II error and the power of the test would increase.d The probability of a Type II error would decrease and the power of the test would increase.e The probability of a Type II error would increase and the power of the test would decrease.Question 3 (1 point)Which of the following gives the probability of making a Type I error?a the significance levelb the sample sizec the powerd the p-valuee the standard errorQuestion 4 (1 point)Consider the results of a hypothesis test, which indicate there is not enough evidence to reject the null hypothesis. Which of the following statements about error is correct?a Both types of error could have been made, but the probability of a Type I error is less than the probability of a Type II error.b A Type I error could have been made, but not a Type II error.c Both types of error could have been made, but the probability of a Type I error is greater than the probability of a Type II error.d A Type II error could have been made, but not a Type I error.e The type of error that could have been made is not possible to determine without knowing the statement of the null hypothesis.
The doctor is deciding whether or not to provide treatment to use a null or an alternative hypothesis.
Also test's power would drop and the likelihood of a Type II error would rise.
What are a hypothesis components?The null hypothesis or the alternative hypothesis are two statements that make up the hypothesis test. The test statistic and critical value are two more components, and they together give us the P-value or the rejection region (), respectively.
An analyst performs hypothesis testing on a statistical sample with the intention of demonstrating the plausibility of a null hypothesis. A sample of the people being studied is measured and examined by statistical analysts in order to test a hypothesis.
The test's power would drop and the likelihood of a Type II error would ;rise.
Hence, the probability of a Type II error would increase and the power of the test would decrease.
To learn more about probability, refer to:
brainly.com/question/23417919
#SPJ1
PLEASE HELP (the number in the circle is 40m just in case you couldn’t see it)
1. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
39
10
1?
Your answer
Answer:
15°
Step-by-step explanation:
Reference angle = \( \theta \)
Side Opposite to reference angle = 10
Hypotenuse = 39
Let's use arcsin:
recall: SOHCAHTOA
Therefore:
\( \theta = sin^{-1}(\frac{Opp}{Hyp}) \)
Substitute
\( \theta = sin^{-1}(\frac{10}{39}) \)
\( \theta \) = 14.8571655° = 15° (to nearest whole number)
Find the value of y.
26
The perimeter of a triangle is 300 m . If its sides are in the ratio 3:5:7. Find the area of the triangle.
Plzz answer fast.
Answer:
If the perimeter = 300m
let the ratio be in x
a/q.
3x + 5x + 7x. = 300m
15x = 300
x = 300/15
x = 20
hence angles are
60 , 100 and 140
hope it helps
Answer:
A ≈ 1500\(\sqrt{3}\) m²
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 + 7 = 15 parts
Divide perimeter by 15 to find the value of one part of the ratio.
300 ÷ 15 = 20 m ← value of 1 part of the ratio , then
3 parts = 3 × 20 = 60 m
5 parts = 5 × 20 = 100 m
7 parts = 7 × 20 = 140 m
The 3 sides of the triangle are 60 m, 100 m , 140 m
To calculate the area (A) having all 3 sides use Hero's formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
where s is the semiperimeter and a, b , c the sides of the triangle
s = 300 m ÷ 2 = 150 m
let a = 60, b = 100 and c = 140 , then
A = \(\sqrt{150(150-60)(150-100)(150-140)}\)
= \(\sqrt{150(90)(50)(10)}\)
= \(\sqrt{6750000}\)
= \(\sqrt{10000}\) × \(\sqrt{675}\)
= 100 × \(\sqrt{25(27)}\)
= 100 × 5\(\sqrt{27}\)
= 500 × \(\sqrt{9(3)}\)
= 500 × 3\(\sqrt{3}\)
= 1500\(\sqrt{3}\) m²
*PLEASE HELP ASAP ITS A TEST* How many solutions does the system of linear equations represented in the graph below have?
Answer:
0
Step-by-step explanation:
The 2 lines never intersect so there are 0 solutions
Please help me I really don't know how to do this so please. (BUT it might be easy for u)
Answer:ca,bc,and ab
Step-by-step explanation:
pls mark me brainliest and have a good day
Answer:
CA>BC>AB
Step-by-step explanation:
If you go to desmos graphing calculator and graph the triangle you can easily find out :)
Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10. She wrote the following to represent the situation with a linear equation. What kind of equation did she use?
Answer: Standard Form
Step-by-step explanation:
In the slope intercept form, you can only solve for one equation at a time.
Ex: y = -2.5x + 15
but when using standard you can easly get the answer for both ticket prices
Ex: 25x + 10y = 150
5r + 2g = 30 is the linear equation that best describes the scenario.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.
Let "r" be the Number of reserved tickets she bought
and "g" be the number of general admission tickets she bought
Money spent od reserved ticket = 25 * r
Money spent in general tickets = 10 *g
Since she totals spent 150$
Thus, the equation will be
25r + 10g = 150
Divide by 5 into both the sides
5r + 2g = 30
therefore, The linear equation that represents the given situation is 5r + 2g = 30.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ2
plz help me with this q
Answer:
lenght is 6
Step-by-step explanation:
i think so
HOPE IT HELPS!!!
PLS HELP!!! No links pls and Ty <3333
Answer:
The area is 176.6
Step-by-step explanation:
The formula for the area of a circle is "πr²"
This means you square the radius, and multiply it by pi.
Our diameter is 15, and the radius is half of the diameter.
15 ÷ 2 = 7.5
Next, we square the radius. (7.5)
Let's fill it into the formula.
π7.5²
After squaring, it's this:
π56.25
In your question, pi is 3.14, so let's replace that.
(3.14)56.25
After multiplying we get 176.625, after we round, we get 176.6
176.6 is the area.
Brainliest please?
Answer:
The area is 176.6
Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.
Step-by-step explanation:
Sylvia will have (select) Leroi. After the second deposit, Sylvia will have and Leroi will have (Part 2 out of 3)
After the second deposit, Sylvia will have $110 and Leroi will have $110
How to complete the blank statementsFrom the question, we have the following parameters that can be used in our computation:
Initial amount = $100
Leroi's additional savings = $10 weekly
Sylvia's additional savings = 10%
Using the above as a guide, we have the following:
Lero's savings in week 2 = Initial amount + Leroi's additional savings
Sylvia's savings in week 2 = Initial amount * (1 + Sylvia's additional savings)
Substitute the known values in the above equation, so, we have the following representation
Lero's savings in week 2 = 100 + 10
Sylvia's savings in week 2 = 100 * (1 + 10%)
Evaluate the equations
Lero's savings in week 2 = 110
Sylvia's savings in week 2 = 110
Hence, their savings in the second week are $110 each
Read more about equations at
https://brainly.com/question/2476251
#SPJ1
Complete question
Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional$10 each week. Sylvia decides to put in an additional 10% of the amount in the account each week.
After the second deposit, Sylvia will have _______ and Leroi will have ________
Which ordered pale is a solution to the system of equations?
3x - 3y = -9
2x + y = -3
A (0,3)
B (0, -3)
C (-2, 1)
D (1, 2)
Answer:
c) (-2, 1)
Step-by-step explanation:
3x - 3y = -9
2x + y = -3
2x + y = -3
-2x -2x
y = -2x - 3
3x - 3y = -9
y = -2x - 3
3x - 3(-2x - 3) = -9
3x + 6x + 9 = -9
9x + 9 = -9
- 9 -9
9x = -18
/9 /9
x = -2
y = -2x - 3
y = -2(-2) -3
y = 4 - 3
y = 1
(x, y) --> (-2,1)
Check your answer:
y = -2x - 3
1 = -2(-2) - 3
1 = 4 - 3
1 = 1
This statement is true
Hope this helps!
ven the function f(x)=x^(2)+7x+6, determine the average rate of change of e function over the interval -4<=x<=-1
The average rate of change of the function f(x) = x² + 7x + 6 over the interval -4 ≤ x ≤ -1 is -8/3 or about -2.67.
To determine the average rate of change of a function over a specific interval, we use the following formula:
\($$ \frac{f(b) - f(a)}{b - a} $$\)
where a and b are the endpoints of the interval.
In this case, we have the function f(x) = x² + 7x + 6 and the interval -4 ≤ x ≤ -1. To find the average rate of change of the function over this interval, we need to evaluate the function at the endpoints of the interval and substitute these values into the formula.
Therefore:
\($$ \text{Average rate of change} = \frac{f(-1) - f(-4)}{-1 - (-4)} $$\)
We start by evaluating the function at the endpoints of the interval: \($$ f(-1) = (-1)^2+ 7(-1) + 6 = -2 $$\)
\($$ f(-4) = (-4)^2 + 7(-4) + 6 = 6 $$\)
Substituting these values into the formula, we get: \($$ \text{Average rate of change} = \frac{-2 - 6}{-1 - (-4)} = \frac{-8}{3} $$\)
Therefore, the average rate of change of the function f(x) = x² + 7x + 6 over the interval -4 ≤ x ≤ -1 is -8/3 or about -2.67.
To know more about function, visit:
https://brainly.com/question/30721594
#SPJ11
students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?
In the experiment, the independent variable is the amount of sunlight received by the clover plants.
The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.
The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.
To learn more about variable here:
https://brainly.com/question/29521826
#SPJ4
What is the volume of the portion of the aquarium with water in it?
1. 101 cm³
2. 14000 cm³
3. 32,200 cm³
4.46,200 cm³
Answer:
Hey there, the answer is
C. 32,200 cm
Step-by-step explanation:
I took the test and got it correct, hope this helps!
Answer:
32,200 cm³
Step-by-step explanation:
Took the test
Can someone awnser the question on my page pleaseeee
Answer:
yes we can answer it
Step-by-step explanation:
we can