The perimeter of triangle XYZ is calculated as: 48 units.
What is the Perimeter of a Triangle?The perimeter of a triangle is found by summing all the lengths of the three sides of the triangle.
Given the following measures as shown in the image below as:
AC = 7
AB = 5
XY = 24
The perimeter of triangle XYZ = XY + YZ + XZ
Based on the triangle midsegment theorem, we have:
YZ = 2(AC) = 2(7)
YZ = 14
XZ = 2(AB) = 2(5)
XZ = 10
Therefore:
The perimeter of triangle XYZ = 24 + 14 + 10
The perimeter of triangle XYZ = 48 units.
Learn more about the perimeter of triangle on:
https://brainly.com/question/24382052
#SPJ1
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.
Customer Spending by Promotion Run
Customers Spending More than $30. Customers Spending $30 or Less.
$10 off $50
15% off
$5 off $25
Buy-1-Get-1 Half Off
Which statement best describes how the manager can check if there is an association between the two variables?
A. The manager must check relative frequencies by row because there are more than two different promotions.
B.The manager must check relative frequencies by column because there are more than two different promotions.
C. The manager cannot use relative frequencies to look for an association because there are more than two different promotions.
D. The manager should check both relative frequencies by row and by column to look for an association.
Answer:
the answer is d
Step-by-step explanation:
I took the test on edge
Answer:
D
Step-by-step explanation:
have a good day /night :)
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
To know more about volume follow
https://brainly.com/question/29568631
#SPJ1
alexia lunch at a restaurant costs $34.00, without tax. She leaves the waiter a tip of 12% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip?
Answer:
$38.08
Step-by-step explanation:
12% of 34.00 as an equation would be \(34*0.12\), \(34*0.12=4.08\) so we add 4.08 to the total of the lunch already. \(34.00+4.08=38.08\). So the answer is $38.08. Hope this helps :)
Brooke solved the equation below:
6r = 72
6r − 6 = 72 − 6
r = 66
Is Brooke's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)
Answer:
Incorrect because she was supposed to divide 6 on both sides to get the answer of 12.
Step-by-step explanation:
6r = 72
r = 72/6
r = 12
Mr. Johnson was born in June 1971 and earns R47 400,00 which on the last day
of the month to be paid to him.
The following deductions are made from his salary:
• 7.5% of his gross salary for pension fund contributions.
• 1% of his gross salary for WVF. (The maximum WVF contribution is R177,12)
• R2 800 for medical aid contributions for him and his wife.
Study the table in APPENDIX A, the tax rates for the year ended
28 February 2022, and answer the questions that follow:
2.1.1 Explain what an IRP5 is. (2)
2.1.2 Calculate Mr. Johnson's taxable income for the year. (7)
2.1.3 Calculate Mr. Johnson's medical credit for the financial year. (2)
2.1.4 Calculate the annual tax payable by Mr. Johnson for the
financial year from 1 March 2021 to 28 February 2022. (5)
2.1.5 Calculate Mr. Johnson's monthly taxes
2.1.1. An IRP5 is the employee's tax certificate, detailing all the employee-related incomes, deductions, and related taxes. The IRP5 assists the employee in making his tax returns for the subsequent year.
2.1.2. Mr. Johnson's taxable income for the year is R490,414,56.
2.1.3 Mr. Johnson's medical credit for the financial year is R33,600.
2.1.4 The annual tax payable by Mr. Johnson for the financial year from 1 March 2021 to 28 February 2022 is R118,988,24.
2.1.5 Calculate Mr. Johnson's monthly taxes are R9,915,69.
Data and Calculations:Gross Pay = R47,400,00
Pension fund contributions = 7.5% (R3,555,00)
WVF contribution = 1% (R177,12)
Medical aid contributions = R2,800
Annual medical credit = R33,600 (R2,800 x 12)
Total deductions = R6,532,12 (R3,555,00 + R177,12 + R2,800)
Taxable income = R40,867,88 (R47,400 - R6,532,12)
Annual taxable income = R490,414,56 (R40,867,88 x 12)
Johnson's Tax liability:Annual tax liability = R110 739 + 36% of taxable income above R467 500
= R110,739 + 36% of R22,914,56 (R490,414,56 - R467,500)
= R110,739 + R8,249,24
= R118,988,24
Monthly Tax = R9,915,69 (R118,988,24/12)
Thus, the taxable income (gross pay minus deductions) forms the basis for determining the tax payable by Mr. Johnson during the tax year.
Learn more about taxable income at https://brainly.com/question/25307637
#SPJ1
Question Completion:Appendix A (Tax Rates)
Taxable Income Rate of tax (R)
R1 – R216 200 18% of taxable income
R216 201 – R337 800 R38 916 + 26% of taxable income above R216 200
R337 801 – R467 500 R70 532 + 31% of taxable income above R337 800
R467 501 – R613 600 R110 739 + 36% of taxable income above R467 500
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
Learn more about dependent variables here:
https://brainly.com/question/30386143
#SPJ1
To prove two triangles are congruent, you must have at least one pair of congruent sides
True or false
Answer: The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
Step-by-step explanation:
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
Question 11
10 pts
Which coordinate does not belong to the equations y = 2x + 5 or x = -3?
O (-3,7)
O (-3,1)
O (1,7)
O (0,-5)
O (-3,-1)
Answer:
O✓ (0,-5)
Step-by-step explanation:
Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
HELP HELP HELP IM GIVING BRAINLIEST TO THE BEST ANSWER!!!!!
Answer:
Step-by-step explanation:
the correct choice is C
both are multiplicative relationships,
for data set I , y is 5.5 times x,
for Data set II, y is 5x
PLZZZZ HELPP WILL GIVE BRAINLIEST
Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
AAS
SSS
SAS
HL
Answer:
HL
Step-by-step explanation:
Since both triangles are right angle triangles that means one angle is 90°. other two sides are given congruent .
that means lengths of hypotenuse and the leg of the one right angle triangle is equal to the corresponding other hypotenuse and leg of other triangle.
This fulfills the condition of HL congruency.
What is the LCM of 12,30 and 42
Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: 2 × 2 × 3
30: 2 × 3 × 5
42: 2 × 3 × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are 2 and 3. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: 2 × 2 × 3 × 5 × 7 = 420
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02
The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.
This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).
In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.
Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
To learn more about Probability from given link.
https://brainly.com/question/30034780
#SPJ1
get brainly if solve correctly
Answer:
the slope is 5
Step-by-step explanation:
rise over run
15/3 = 5
What are the square roots of 100?
Answer:
10 and -10.
Step-by-step explanation:
10 * 10 = 100
-10 * -10 = 100.
SAT math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.
What percentage of SAT scores is between 173 and 401?
Find the SAT Math score range that falls with 2 standard deviations.
Please explain!
Hey there mate :)
Analysis :
\(401 = 515 - 114 = u - 6\)
And
\(173 = 515 - 3.114 = u - 36\)
\( = \frac{p(u - 36 < u < u + 36) - p(u - 6 < u < u + 6)}{2} \)
\( = \frac{99.73percent - 68.21percent}{2} \)
\( = \frac{31.46percent}{2} \)
\( = {15.73percent}\)
Then, calculating,
\(u - 26 = 515 - 2 \times 114 = 287\)
And
\(u + 26 = 515 + 2 \times 114 = 743\)
Then,
\(The \: Range = (287,743)\)
Final Answers :-
15.73 %
(287,743)
~Benjemin360
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
To know more about the equation, visit:
https://brainly.com/question/29657983
Eli works in an electronic repair shop.he earns $9.00 an hour plus a bonus for each item he repairs. Write a formula that will help Eli determine how much money he earn in one week. Let’s let a=total amount earned h=hours worked in one week n= number of items repaired b=bonus amount for each item
Answer:
a = 9h + nb
Step-by-step explanation:
1) Variables:
a=total amount earned
h=hours worked in one week
n=number of items repaired
b=bonus amount for each item
2) He earns $9.00 an hour plus a bonus for each item repaired.
=> he earns 9 times the number of hours plus value of the bonus times the number of items repaired
=> a = 9h + nb
Alex is thinking of a number.
She divides it by 100
The answer has one more in the hundreds column than in the
tens column
The total of the digits is 15
What could the number be?
A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
HELO
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
We have,
3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.
Now, first convert all quantity in same unit.
3 ½ cups of flour
= 3 cups + 0.5 cups
= 3 cups and 8 ounces.
and, 2 ⅔ cups of sugar
= 2 cups + 0.67 cups,
= 2 cups and 10.72 ounces.
and, 1 ¾ cups of cocoa
=1 cup + 0.75 cups
= 1 cup and 12 ounces.
So, the total amount
= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
= 7 cups
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
Learn more about Unit Conversion here:
https://brainly.com/question/19420601
#SPJ1
you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.
please help me with my question
From the picture, we want to calculate the volume of the alcohol we are using. In this case, we can see that the shape that the alcohol takes is the shape of a cylinder.
We can see that since the alcohol is contained in the beaker, the alcohol cylinder would have the same radius as the beaker.Note that the beaker has a diameter of 1 cm. So the radius of the beaker would be the diameter divided by 2, that is 0.5 cm. Also, note that the height of the cylinder would be 5 cm.
Now, recall that the volume of a cylinder is given by the formula
\(V=\pi\cdot r^2\cdot h\)Then, in our case we have h=5 and r=0.5. So we have the formula
\(V=\pi\cdot0.5^2\cdot5\)which would be the volume of the alcohol to be used.
Write the decimals in expanded notation 0.685
\(0.685\)
to find:the expanded notation form.
solution:\(0\)
\( + 0.6\)
\( + 0.08\)
\( + 0.005\)
it can be written as a sentence also,
0 + 0.6 + 0.08 + 0.005
y=x^2-15x+26
y=-3x-6
Answer:
x = 4
x = 8
Step-by-step explanation:
I will solve this using the substitution method.
y = x² - 15x + 26
y = -3x - 6
Equal the answers to each other.
x² - 15x + 26 = -3x - 6
x² - 12x + 32 = 0
(x - 4) (x - 8)
x = 4
x = 8
Answer:
(4,−18) and (8,−30)
Step-by-step explanation:
I just got it correct
You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 250,823. Its current population is 325,823. By about what percentage has the city grown over the past ten years? Round to the nearest percent.
Answer:
Here is the answer i got-
Step-by-step explanation:
325823-250823=75000
325823’s 244367250percent is 75000
What is the probability that either event will occur?
A
30
8
B
7
P(A or B) = P(A) + P(B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
The probability that either event will occur is 0.33
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 8Event B = 7Other Events = 30Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 8 + 7 + 30
Evaluate
Total = 45
So, we have
P(A) = 8/45
P(B) = 7/45
For either events, we have
P(A or B) = 8/45 + 7/45
P(A or B) = 15/45
Evaluate
P(A or B) = 0.33
Hence, the probability that either event will occur is 0.33
Read more about probability at
brainly.com/question/251701
#SPJ1
at a party with 10 people each person shakes the hand of every other person once how many handshakes occur
The number of handshakes altogether exists 45.
What is meant by combinations?In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The components of the subset are arranged in a particular order in a permutation.
A combination in mathematics is a choice of elements from a set with distinct members, where the order of the choices is irrelevant.
Combinations are a mathematical method for calculating the number of alternative arrangements in a collection of objects where the order of the selection is irrelevant. You are free to choose any combination of the things.
Given:
Number of people in the conference = 10
Each person shakes hands with others.
The total number of handshakes \($={ }^n \mathrm{C}_2$\)
Total number of handshakes \($={ }^{10} C_2=(10 \times 9) / 2=45$\) handshakes.
The complete question is:
At the end of a meeting all the ten people present shake hands with each other once. The number of handshakes altogether is
To learn more about combinations refer to:
https://brainly.com/question/295961
#SPJ4
please help me find DE
You can split up the length of AE into the lengths of the line segments connecting adjacent points:
AE = AB + BC + CD + DE
Plug in everything you know and solve for DE :
9 = (2 1/2) + (4 1/3) + (1 2/3) + DE
Rewrite the mixed numbers as improper fractions with a common denominator.
2 1/2 = 4/2 + 1/2 = 5/2 = 15/6
4 1/3 = 12/3 + 1/3 = 13/3 = 26/6
1 2/3 = 3/3 + 2/3 = 5/3 = 10/6
9 = 54/6
So we have
54/6 = 15/6 + 26/6 + 10/6 + DE
⇒ DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2
(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)
what is the value of this expression: if h = 8, j = -1, and k = -12? a.) 12b.) 36c.) -12d.) 3/2
Given the expression:
\(\frac{j^3k^{}}{h^0}\)Where,
h = 8
j = -1
k = -12
Let's plug in the values to the expression:
\(\frac{j^3k^{}}{h^0}\)\(\frac{(-1)^3(-12)^{}}{8^0}\)Recall: Any number that is raised to the power of zero is always equal to 1.
We get,
\(\frac{(-1)^3(-12)^{}}{8^0}\text{ = }\frac{(-1)(-12)}{1}\text{ = (-1)(-12)}\)Recall: When multiplying integers of the same sign, the product is always a positive integer.
We get,
\((-1)(-12)\text{ = 12}\)Therefore, the answer is 12, letter A.