Answer:
John takes 20 steps in 10 yards.
Step-by-step explanation:
1 yard = 36 inches
10 yards = 36 x 10 = 360 inches
Since John's step covers 18 inches, divide 360 by 18.
360/18 = 20 steps
Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
learn more about probability here: https://brainly.com/question/16404410
Evaluate 8 * 3 ^ x for a ) x = - 2 and (b) * x = 3 Write your answers in simplest form
Answer:
a. [tex]\frac{8}{9}[/tex] b. 216
Step-by-step explanation:
El doble de la altura de un fresno en 3m mas alto que un pino de 5 m ¿Cuanto mide el fresno?
cuatro es la respuesta....espero eso ayude
"35 degrees above 0 positive or negative
Answer:
Positive
Please mark me brainliest!!!!!!
Positive!
Anything above 0 is positive.
Bye!! <3
-Lexi
can you guys help again
Answer:
Step-by-step explanation:
1 = 27
2 = 36
2 = 1,000
Answer:
3^3 = 27
6^2 = 36
10^3 = 1000
Which of the following words can be used to describe the triangle?
Answer:
It's a because an isosceles is a triangle!
Reduce the ratio to its lowest form. 72:8
Answer:
9:1
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 72 and 8 is 8
Divide both terms by the GCF, 8:
72 ÷ 8 = 9
8 ÷ 8 = 1
The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :
72 : 8 = 9 : 1
Therefore:
72 : 8 = 9 : 1
You buy dinner at a restaurant. Your bill is $17.50. The tax is 9%. You leave a 20% tip. How much did you pay total?
Answer:
22.57
Step-by-step explanation:
17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575
Original price of a sled: $99.50
Discount: 50%
Answer:
49.75
Step-by-step explanation:
1/2 (50%) of 99.50 is 49.75
does any one know the correct answer that is good in math
Please help w my math homework giving a 100 points
Answer:
It is only 5 point not 100,she cappin
Step-by-step explanation:
−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions.
Answer: the anwer is =46.76
Step-by-step explanation:
Which expression is equivalent to
Square root of 80
Answer:
2nd answer
Step-by-step explanation:
B
Answer:
4 5sqared and 80^1/2
Step-by-step explanation:
while shopping, betting spent five times as much as meg. if they spent a total of $108, how much did each person spend?
Answer:
meg spen $18 and betting spent $90
Step-by-step explanation:
GIVING BRAINLIEST TOO BEST ANSWERED
Solve for p.
−4.5 + p/6 = −18.9
A
p=−117.9
B
p = −108.9
C
p = −86.4
D
p = 140.4
Answer:
c p = -86.4
aww man I got to explain too I used this app called math - way they will explain it
Fiona enlarges a parallelogram that has a perimeter of 17 meters.
A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale
What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters
Answer:
The correct answer is C.
Step-by-step explanation:
Answer: C. 102 cm
Step-by-step explanation:
I took the quiz on Edge, and it is correct.
I need help with math problem: 5(2x+6)
Hey there!
5(2x + 6)
= 5(2x) + 5(6)
= 10x + 30
Answer: 10x + 30 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
10x + 30
Step-by-step explanation:
When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.
5(2x) + 5(6)
Then we just multiply
10x + 30
Because we do not know the value of "x" we will leave it like this.
Hope it was helpful ;)
Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer!
Please view the screenshot of my question........
Answer:
The answer is D. 14
Step-by-step explanation:
If you were to plug in 14 for x, it would look something like this:
[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]
Solve 14-4
[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]
if you were to multiply 5 and 7 by 2, you would get
[tex]\frac{10}{14}[/tex].
This makes the equation true, because
10/14 does equal itself (10/14)
Have a nice day!
A birdwatcher on a cliff saw a eagle 70 feet above him. Earlier, he had spotted the eagle 30 feet above him. Which integer represents the eagle's change in altitude?
The integer that represents the altitude change is -40
How to determine the integer that represents the altitude change?From the question, the positions of the eagle are
70 feet above him and 30 feet above him
Rewrite the positions of the eagle properly
This is done as follows
Position 1 = 70
Position 3 = 30
The expression of the altitude change in the position of the eagle is then calculated as
Change = Position 2 - Position 1
Substitute the known values in the above equation
So, we have the following equation
Change = 30 - 70
Evaluate
Change = -40
Hence, the altitude change is -40
Read more about distance at
brainly.com/question/29116468
#SPJ1
The sum of three consecutive odd integers is 105.
What is the first integer?
Answer: how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.
Step-by-step explanation:
1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:
Answer:
Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]
Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]
Step-by-step explanation:
Existen dos formas distintas de determinar las áreas de cada cuadrilátero:
(i) Obtener el área de cada cuadrado y sumar los resultados.
(ii) Calcular los lados del cuadrilátero grande y determinar el área.
Cuadrilátero A
Método (i)
[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]
[tex]A = y^{2}+4\cdot y +4[/tex]
Método (ii)
[tex]A = (y+2)\cdot (y+2)[/tex]
[tex]A = y^{2}+4\cdot y + 4[/tex]
Cuadrilátero B
Método (i)
[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]
[tex]A = a^{2}+6\cdot a +9[/tex]
Método (ii)
[tex]A = (a+3)\cdot (a+3)[/tex]
[tex]A = a^{2}+6\cdot a + 9[/tex]
7. The school librarian orders 35 new
books each year. How many new
books did the librarian order in the
past 12 years?
Answer:
420
Step-by-step explanation:
35x12
Evaluate the expression below, if a = 3, b = 4, c = 12, and d = 1
The shaded cube has a volume of 1 cubic unit. Cubes like this one will be used to completely fill a rectangular prism that has the dimensions shown.
Answer:
it also shows the same dimensions
as all Δ are of 90°
Step-by-step explanation:
plz follow mr
David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?
Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
[tex]y = \frac{4}{11} \times (2y + 27)[/tex]
[tex]11y = 4(2y + 27)[/tex]
[tex]11y = 8y + 108[/tex]
[tex]11 y- 8y = 108[/tex]
[tex]3y = 108[/tex]
y=108/3= 36
Find each percent. 5 is what percent of 15?
Answer:
0.75
Step-by-step explanation:
this is what popped up in my calculator so i hope this helps you. :)
(-13) + (-14)+6
explain
Answer:
21
Step-by-step explanation:
-13)+(-14)= -27
-27+6= -21
Please answer the question and explain your answer. I will be marking brainiest with the correct answer and best explanation.
Answer:
28.26
Step-by-step explanation:
A = r^2
So the equation is. Area of circle = pi(3.14) * radius(3) to the power of 2 (^2)
A = 3.14(3)^2
A = 3.14(9)
A = 28.26
What is the volume, in cubic cm, of a rectangular prism with a height of 8cm, a width of 2cm, and a length of 7cm?
Please , help .
Answer:
v = A x H = LxW xH = 7cm x 2cm x 8cm =112CM^3
Answer:
112 cm³
Step-by-step explanation:
In this question, we have to find the volume of a rectangular prism.
The formula to find the volume of a rectangular prism would be: V = L × W × H
To find the volume, plug in the values and solve.
Solve:
V = 7 × 2 × 8
V = 14 × 8
V = 112
This means that the volume of the rectangular prism is 112 cm³
Remember, volume is always represented with a exponent of 3, or cubed, in the unit.
Your answer would be 112 cm³
Is -2 a whole number
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.
Step-by-step explanation:
Answer:
NoStep-by-step explanation:
A whole number is any number that does not contain a fraction, decimal, or negative value.