First do inside the parentheses:
4 + [8/1 + 6-12] . 10
Now work inside the brackets doing division first
4 + [8 + 6 -12]. 10
Still inside the brackets add an subtract from left to right:
4 + 2 . 10
Multiply:
4 + 20
Add to get final answer of 24
Answer:
4+[8 ÷(8-7) +6 -12] . 10
4+[8÷1+6-12].10
4+[8+6-12].10
4+[14-12].10
4+2×10
4+20
24
Explain why the absolute value function y = |x| is an example of a piecewise function
Find the value of x.
39°
22°
x°
Answer:
13
Step-by-step explanation:
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
I really need help , Please help
Answer:
Step-by-step explanation:
Inpert
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
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:
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.
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]
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:
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°
Stuffed animals at a toy
store are split among 4
shelves. There are 12
stuffed animals on each
shelf. How many stuffed
animals are at the store?
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Answer:
48
Step-by-step explanation:
If there are 4 shelves with 12 on each you multiply 4 by 12 (4*12) which gives you 48
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
Find q. q-89=121 q= please help
Answer: q=210
Step-by-step explanation:
For this question you have to do the inverse to 'undo' the equation.
So, instead of taking away 89 you have to add it to 121.
q=121+89
q=210
Hope this helps :)
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.
please help me with this!!!!!
Answer:
c
Step-by-step explanation:
it c because i said so. and im right so the answer is C
Answer:
C. 3/8
Step-by-step explanation:
To solve think about how many sections there truly are. The 5 section represents 3 parts, the 2 section represents 2 parts, and the 1, 4, 3 sections represent 3 parts in total. This means overall there are 8 parts to this spinner. Since 5 takes up 3 of these 8 parts, the probability of the pointer landing on 5 is 3/8.
Help me plsssssss 2 1/2 x 3
Which pair of angles are complementary but not adjacent?
1
N
5
3
4
+
0 21 and 25
0 21 and 23
0 24 and 21
0 24 and 25
HURRY PLEASE
Answer: 1 and 3
Step-by-step explanation:
I got it right on edge 2021
Answer:
1 and 3
Step-by-step explanation:
40.1 =
С C
+ 3.1
0.1
Answer:
1.876
because I said it was
Anyone know how to do this?
Answer:
38
Step-by-step explanation:
Yes frist you add 3x+8+62 = 5x+50
can someone please help me figure out this problem. just figure out what 1,2, and 3
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
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
Evaluate 12.3p+11.9r when p=7 and r=8.
Divide the given polynomial by the given monomial.
Answer:
Here is the answer. Solved
Find the surface area of the figure.
Answer:
152 cm²
Step-by-step explanation:
2x5x3=30
2x6x3=36
5x6=30
2x2.5x6=30
2x6=12
(2+5)/2=3.5x2=7x2=14
30+36+30+30+12+14=152
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
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
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]I was wondering if anyone knew how to solve this
Answer:
2
Step-by-step explanation:
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