Answer:
You can use those properties to confirm parallelogram , rectangle, square, rhombus, trapezoid
To confirm the parallelogram you need to verify the pairs of sides are parallel by confirming same slopes.
To confirm the square you need to verify the sides are perpendicular, also the diagonals are perpendicular. The slopes of perpendicular lines are negative-reciprocal.
To confirm the trapezoid you just need to confirm one pair of sides are parallel, with same slope.
Katrina bought a total of 18 donuts and cookies at the South Lyon Bakery and spent a total of $10.50. If each donut cost $0.75 and each cookie cost $0.50, how many of each did she buy? Define the variables Equations Solution
I really need help , Please help
Answer:
Step-by-step explanation:
Inpert
Add.
(6p + 5) + (2p + 7)
Answer:
=8p+12
Step-by-step explanation:
(6p+5)+(2p+7)
=6p+5+2p+7
=6p+2p+5+7
=8p+5+7
=8p+12
Answer:
8p + 12
Step-by-step explanation:
=> (6p + 5) + (2p + 7)
=> 6p +5 + 2p + 7
=> 8p + 12...ans
Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sells.
let P represent her total pay (in dollars) and N represent the number of copies of math is fun she sells. write and equation relating P to N and use this equation to find her total pay if she sells 27 copies of math is fun.
Answer:
[tex]P = 1900 + 40N[/tex]
[tex]P = 2980[/tex] when N = 27
Step-by-step explanation:
Given
[tex]Base\ Salary = 1900[/tex]
[tex]Additional = 40[/tex] per copy
Solving (a): Her total pay (P)
This is represented by:
[tex]P = Base\ Salary + Additional * N[/tex]
[tex]P = 1900 + 40 * N[/tex]
[tex]P = 1900 + 40N[/tex]
Solving (b): Total pay when N = 27
Substitute 27 for N
[tex]P = 1900 + 40 * 27[/tex]
[tex]P = 1900 + 1080[/tex]
[tex]P = 2980[/tex]
Solve for x
x^2+ 6x + 9 = 12
Answer:
x=−3+2√3 or x=−3−2√3
Step-by-step explanation:
Find the value of x.
39°
22°
x°
Answer:
13
Step-by-step explanation:
Contamination problems in semiconductor manufacturing can result in a functional defect, a minor defect, or no defect in the final product. Suppose that, 20, 50 and 30% of the contamination problems result functional, minor and no defects respectively. Assume that the effects of 10 contamination problems are independent. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that the 10 contamination problems result in two functional defects and five minor defects
Answer:
The answer is "[tex]8.5\times 10^{-9}[/tex]".
Step-by-step explanation:
Following are the calculation of the multinomial distribution probability:
[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]
[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]
Explain why the absolute value function y = |x| is an example of a piecewise function
40.1 =
С C
+ 3.1
0.1
Answer:
1.876
because I said it was
Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W. (We will assume the rivers flow straight from Great Falls to Lemhi on the surface of Earth). Apply the Law of Cosines for Sides of a spherical triangle to find the angle between Great Falls and Lemhi.
Answer:
The angle between Great Falls and Lemhi is approximately 3.02°
Step-by-step explanation:
The location parameters are;
The Great Falls location = 47.5° N, 111.3° W
The location of Lemhi = 45.5 °N and 113.5 °W
Therefore, we have;
The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°
The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°
The angle between the lines of longitude, P = 113.5° - 113° = 0.5°
By the law of cosines for Sides of a spherical triangle, we have;
CosAB = cos AP·cosPB + sinAP·sinPB·cosP
Where;
AB = The angle between Great Falls and Lemhi
∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986
AB ≈ arccos(0.9986) ≈ 3.02°
The angle between Great Falls and Lemhi ≈ 3.02°
The equation of a line that contains the points (2,1) and (3,2) is
Answer:
1x - 1
Step-by-step explanation:
Find the slope.
y2 - y1/ x2 - x1 3-2/ 2 - 1 = 1
So far this is our equation: y = 1x + b; to find the y - intercept, plug in the original values. Simplify the equation
2 = 1(3) + b
2 = 3 + b
-1 = b
what is the answer (31-19)×2+10
On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years of age. A total of 275 were under the influence of alcohol. Of the drivers under 30 years of age, 225 were under the influence of alcohol.
Let A be the event that a driver is under the influence of alcohol.
Let Y be the event that a driver is less than 30 years old.
1. Show the joint probability table.
2. Are A and Y mutually exclusive events? Explain.
3. Are A and Y independent events? Explain.
Answer:
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
No
No
Step-by-step explanation:
Given :
Sample, size n = 500
A = driver is under the influence of alcohol :
Y = driver is less than 30 years old
P(A) = 275 / 500 = 0.55
P(Y) = 375 / 500 = 0.75
P(AnY) = 225 / 500 = 0.45
P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
To determine if it is mutually exclusive : P(AnY) = 0
P(AnY) = 0.45 ; hence, it is not mutually exclusive
For A and Y to be independent ; P(A|Y) = P(A) ;
P(A|Y) = P(AnY) / P(Y)
P(A|Y) = 0.45 / 0.75 = 0.6
Hence, A and Y are not independent.
Find the equation of the line.
Use exact numbers,
Answer:
y = 3x + 3
Step-by-step explanation:
Rise: 3 Run: 1
slope (m) = 3/1 = 3
y intercept (b) = 3
y = mx + b = 3x + 3
Can someone help me solve this I don’t understand
-2y + 10 + 2y – 8
Answer:
2
Step-by-step explanation:
=−2y+10+2y+−8
=(−2y+2y)+(10+−8)
=2
what would it be?...
Answer:
19 Dollars
Step-by-step explanation:
Discount means that a certain percentage of the price is being deducted from the final price. So, it this case, we first have to find 5% of 20. 5% of 20 is 1 because 20 * .05 is one. Then, we just have to deduct 1 dollar from 20 dollars, making it 19 dollars.
Anyone know how to do this?
Answer:
38
Step-by-step explanation:
Yes frist you add 3x+8+62 = 5x+50
The legs of an isosceles right triangle are 20 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.
a.
34.6 cm
b.
28.3 cm
c.
40 cm
d.
14.1 cm
Please select the best answer from the choices provided
A
B
C
D
I was wondering if anyone knew how to solve this
Answer:
2
Step-by-step explanation:
I need help with this problem
The answer to the equation is 15
what would be the answer too 900ft2+ 144ft2???
Answer: 1044ft
Step-by-step explanation:
900ft2 + 144ft2
= 1044ft2 (square root)
1044ft
hope this helps :))
a school is having a competition to see who can read the most books in one month (30 days). In the first 5 days, Jake reads 4 books. Meanwhile, Amy reads 5 books over 6 days. If they continue at these rates, who will win? By how many books?
Answer:
Amy will winStep-by-step explanation:
Jake
4 books ⇔ 5 days
x books ⇔ 30 days
5x = 4*30x = 120/5x = 24 booksAmy
5 books ⇔ 6 days
x books ⇔ 30 days
6x = 5*30x = 150/6x = 25 booksAmy will win by 25 - 24 = 1 book
En una tienda de videojuegos venden, por la mañana, las 3/4 partes de los que tenían. Por la tarde vendieron 4/5 de los que le quedaban. Cuando cerró la tienda quedaron 200 videojuegos sin vender, ¿cuántos había al principio?, ¿cuántos vendieron por la tarde?
al principio había 10
y se vendieron por la tarde150
What percent of 74 is 13.6? Write your answer to the nearest tenth.
Answer:
18.37 is the answer so it should be 18.4
Step-by-step explanation:
what does the 50th term of this arithmetic sequence: 29,32,35,38
Answer:
176
Step-by-step explanation:
First term (a) = 29
Common difference (d) = 32 - 29 = 3
For calculating the 50th term , n = 50
Now
[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]
hope it will help :)
Help I cannot figure this question out.
Answer:
B. x = -1 ± i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² + 2x = -2
Step 2: Identify Variables
Rewrite Quadratic in Standard Form [Addition Property of Equality]: x² + 2x + 2 = 0Break up Quadratic: a = 1, b = 2, c = 2Step 3: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-2 \pm \sqrt{2^2-4(1)(2)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-4(1)(2)}}{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-8}}{2}[/tex][√Radical] Subtract: [tex]\displaystyle x=\frac{-2 \pm \sqrt{-4}}{2}[/tex][√Radical] Factor: [tex]\displaystyle x=\frac{-2 \pm \sqrt{-1}\sqrt{4}}{2}[/tex][√Radicals] Simplify: [tex]\displaystyle x=\frac{-2 \pm 2i}{2}[/tex]Factor: [tex]\displaystyle x=\frac{2(-1 \pm i)}{2}[/tex]Divide: [tex]\displaystyle x = -1 \pm i[/tex]There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. You choose a marble, REPLACE it, and choose another. Find each probability
PLEASE HELP IM STRUGGLING
7) P (green and black) __
8) P (green, red) __
9) P (red, red) __
Answer:
Step-by-step explanation:
prob blue = 3/12 = 1/4
since you are replacing ,
prob(blue, blue) = (1/4)(1/4) = 1/16
grace has 18 blueberry muffins and 24 cranberry muffins. she wants to serve the muffins so that each plate has the same number of each type of muffin. what is the greatest number of plates grace should use so that each plate has the same number of each type of muffin
Answer: 6 plates
Step-by-step explanation:
18 ÷ 6 = 3
24 ÷ 6 = 4
3 blueberry muffins and 4 cranberry muffins for each plate.
Answer:
6 because there can be 6 plates of 2 blueberry muffins and 4 cranberry muffins
Step-by-step explanation:
Solve for x.
3
24
Will mark brainliest
The basketball coach spent $35 on 5 t shirts for his team last season. This season, he needs to purchase 7 t shirts. If he pays the same rate as last year, how much will the t shirts cost?
Answer:
5 dollars
Step-by-step explanation:
last year he got 5 they were 7 dollars because 7x5 is 35 so do the same thing to do other it also equals 35