Answer:
1. 1/120
2. 7/24
Step-by-step explanation:
n = 10
Number of defective = 3
1. Probability of all defective =
(Number of defective/n) x (number of defective -1/n -1)...(number of defective -n/n-1)
=3/10 x 2/9 X 1/8
= 6/720
= 1/120
2. probability of none defective
Since 3 are defective, those that are not defective = 7
The probability is therefore:
7/10 x 6/9 x 5/8
= 210/720
= 7/24.
You buy 3 bags of Hot Cheetos
for $2.00 and a coke for $1.50. What is
change if you pay with $10?
Answer:
2.50
Step-by-step explanation:
Each bag of cheetos are 2 dollars. So 6 dollars for all of them. Add that by 1.50 and get 7.50 total. subtract that from ten and you get 2.50
Evaluate the expression 2(2-y)-x When y = 8 and x = -3, what is the value of the expression?
Answer:
-9
Step-by-step explanation:
y = 8
x = -3
2(2-y)-x = ⇒ replace x and y with their values2(2 - 8) - (-3) = ⇒ solve parenthesis2(-6) + 3 = ⇒ multiply-12 + 3= ⇒ add- 9 ⇒ answerAnswer:
Your answer will be (-9)
This is how I got my answer-
2(2-y)-x
2(2-8)-(-3)
2 - 8= (-6)
2 × (-6) = (-12)
(-12) - (-3) = (-9)
Please PLEASE HELP THIS IS ALGEBRA 2
Answer:
I hope this helps you
Step-by-step explanation:
this is how you work out algebra
y+ k-h+x+a
Please help me with this immediately!!!
Answer:
900
Step-by-step explanation:
45x20=900
maybe be the answer i really don't know, i'm sorry.
Does anyone know this?
Answer:
I can tell you the points
(6 , 11) and (-7 , -11)
Step-by-step explanation:
is 169 a whole number,Interger,Rational, Irrational,or Real?
Answer:
A whole number, an integer, a rational number and a real number.
Step-by-step explanation:
It is a whole number, which makes it an integer, which makes it rational, which makes it real.
use the formula V=6s2 to find the surface area of a cube with the sides of length a = 1/3 cm
Answer:
[tex]V = \frac{2}{3} cm^2[/tex]
Step-by-step explanation:
Given
[tex]V = 6s^2[/tex]
Required
Find the surface area when the length is [tex]\frac{1}{3}\ cm[/tex]
To do this, we simply substitute [tex]\frac{1}{3}\ cm[/tex] for s in the given formula
[tex]V = 6s^2[/tex] becomes
[tex]V = 6 * \frac{1}{3}^2[/tex]
[tex]V = 6 * \frac{1}{3} * \frac{1}{3}[/tex]
Combine Fractions
[tex]V = \frac{6 * 1 * 1}{3 * 3}[/tex]
[tex]V = \frac{6}{9}[/tex]
Simplify Fraction
[tex]V = \frac{2}{3} cm^2[/tex]
This is for Algebra 2 I’m stuck I don’t know if I’m right please help
Answer:
y=a|x-h|+k (absolute value function)
a= 3/5 (a easier way to know is it is somehow basically the slope of the line but it must be positive.)
h= -3 (you are correct)
k= -1 (you are correct)
f(-3) if f(x) = 4x^2 + 7x
Answer:
86x
Step-by-step explanation:
I hope this helps you
let's write -3 for x
f(-3)=4.(-3)^2+7.(-3)
f(-3)=4.9-21
f(-3)=36-21
f(-3)=15
The graphs below have the same shape the equation of the red graph is f(x) =x^2. What is the equation of the blue graph?
Answer:
[tex]G(x)=(x-6)^2[/tex]
which agrees with the answer D of your options
Step-by-step explanation:
Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:
[tex]G(x)=(x-6)^2[/tex]
What is the positive root of the equation x2 + 5x = 150?
ao
Answer:
10.
Step-by-step explanation:
x^2 + 5x = 150
x^2 + 5x - 150 = 0
This equation will factor:
(x - 10)(x + 15) = 0
x - 10 = 0 or x + 15 = 0, so:
x = 10 or -15.
================================================
Work Shown:
First get everything to one side
[tex]x^2 + 5x = 150\\\\x^2 + 5x - 150 = 0\\\\[/tex]
Now use the quadratic formula
Plug in a = 1, b = 5, c = -150.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(5)\pm\sqrt{(5)^2-4(1)(-150)}}{2(1)}\\\\x = \frac{-5\pm\sqrt{625}}{2}\\\\x = \frac{-5\pm25}{2}\\\\x = \frac{-5+25}{2} \ \text{ or } \ x = \frac{-5-25}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 10 \ \text{ or } \ x = -15\\\\[/tex]
Factoring, completing the square, or graphing are alternative methods to get these two answers. We see that the positive root is x = 10.
Crystal Can Ride her Bike
10 miles
in 21 hours. What is her
velocity ?
Answer:
Step-by-step explanation:
10 miles isn't very far in 21 hours are those numbers correct?
Velocity is distance/time
10/21 =.476 mph
Natalia bought 8 glitter wands for $50. Determine whether or not each wand purchase below has the same price per wand as glitter wands.
Answer:
Sparkle wands: NO
Fairy wands: YES
Glass wands: NO
Step-by-step explanation:
To find the price per glitter wand, you have to divide the price of the wands by the amount of wands you have.
$50/8 = $6.25
Divide the price of the wands by the amount you get.
Sparkle wands: $20/4 = $5
Fairy wands: $37.50/6 = $6.25
Glass wands: $65/10 = $6.50
The sparkle wands and the glass wands do not have the same price per wand as glitter wands.
The fairy wands have the same price per wand as glitter wands.
Answer:
Glow wands = no
Fairy Wands= yes
Sparkle Wands = No
Step-by-step explanation:
Khanacademy
Trust
I need help ASAP
Integrated math II
Answer:
[tex] \boxed{ \bold{ \sf{x = 16}}}[/tex]
[tex] \boxed{ \bold{ \sf{m < AFD = 82}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x + 18 = 3x + 50}[/tex]
( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
⇒[tex] \sf{5x - 3x = 50 - 18}[/tex]
Collect like terms
⇒[tex] \sf{2x = 50 - 18}[/tex]
Subtract 18 from 50
⇒[tex] \sf{2x = 32}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{32}{2} }[/tex]
Calculate
⇒[tex] \sf{x = 16}[/tex]
The value of x is 16
Now, let's find value of m<AFD :
[tex] \sf{m < afd + 5x + 18 = 180}[/tex] ( sum of angle in straight line )
plug the value of x
⇒[tex] \sf{m < AFD + 5 \times 16 + 18 = 180}[/tex]
Multiply the numbers
⇒[tex] \sf{m < AFD + 80 + 18 = 180}[/tex]
Add the numbers
⇒[tex] \sf{m < AFD + 98 = 180}[/tex]
Move constant to R.H.S and change it's sign
⇒[tex] \sf{m < AFD = 180 - 98}[/tex]
Subtract 98 from 180
⇒[tex] \sf{m < AFD = 82}[/tex]
Value of m<AFD = 82
Hope I helped!
Best regards!!
Mary has planned to save 25% of her weekly earning in savings account. She uses double number line as shown below to determine how much money she will save if she is earns $700 per week.
Answer:
$175 per weekStep-by-step explanation:
In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700
hence we have to calculate 25% of $700 and that will be the answer to the problem
we have
weekly savings = (25/100)*700
weekly savings = 0.25*700
weekly savings= $175
Hence Mary will save $175 per week if she follows the 25% plan of her weekly earnings
Determine the standard form of the equation of the line that passes through (-7, 8) and (0, 2)
Answer:
The answer is
[tex]y = - \frac{6}{7} x + 2[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation we must first find the slope
Slope of the points (-7, 8) and (0, 2) is
[tex]m = \frac{2 - 8}{0 + 7} = - \frac{6}{7} [/tex]After that use the formula
y - y1 = m(x - x1)
To find the equation of the line
Equation of the line using point (0,2) and slope - 6/7 is
[tex]y - 2 = - \frac{6 }{7} (x - 0)[/tex][tex]y - 2 = - \frac{6}{7} x[/tex]We have the final answer as
[tex]y = - \frac{ 6}{7} x + 2[/tex]Hope this helps you
In a small town, 68% of the people I need television, 72% owned radio, 12% owned neither television nor radio
Represent the information on a Venn diagram
What percentage of the population owned television only?
Answer:
The total of people is the 100%.
68% owns a tv.
72% owns radios.
12% does not own anything.
Now, if we add those, we have:
12% + 68% + 72% = 152%.
This is larger than the 100%, then this means that there is a percentage of people that have both Tv and Radio, this percentage is:
152% - 100% = 52%
We have a surpass because we are adding those 52% two times (because they belong in two different groups)
So, the table is:
68% owns a tv.
72% owns a radio.
12% does not own anything.
52% owns both, radio and tv.
68% - 52% = 16% owns only tv.
72% - 52% = 20% owns only radio.
Then the Venn diagram consist in two circles, one with the 72%, other with the 68%, in such way that the circles have an intersection of the 52%.
convert 6.2 gallons to liters pleaseee explain
Answer:
23.4696 liters
Step-by-step explanation:
-1/2 ÷ 2(9+3)-4 - 3/4 (8)
,
Answer:
[tex]-\frac{1}{28}[/tex]
Step-by-step explanation:
-1/2 ÷ 2(9+3)-4 - 3/4(8)
-0.5 ÷ 2(12)-4 - 3/4(8)
-0.5 ÷ 2(12)-4 - 6
-0.5 ÷ 24-4 - 6
-0.5 ÷ 14 = [tex]-\frac{1}{28}[/tex]
What is the difference between 4.5 and - 3.75
Answer:
.75
Step-by-step explanation:
Does anyone know what the equation would be
Factorise the following expression using grouping and use binomial products to simplify.
11x - 55 - 5a + ax
Answer:
11x-55-5a+ax
11(x-5)+a(x-5)
(11+a)(x-5)
Step-by-step explanation:
First you factor out the common factors
for(11x-55) is would be 11 as both of these figures are the multiple of 11
for(ax-5a) the common factor is a which will be factor out
Then after doing the process you will get
11(x-5)+a(x-5)
then factor out(x-5)which will give you
(11+a)(x-5)
Answer:
Answer is below. I have grouped it.
Step-by-step explanation:
=(11x-55) + (-5a+ax)
=11 ( x - 5) +a ( -5+x)
= 11(x-5)+a(x-5)
(11+a)(x-5)
(x-5)(11+a)
Solve the equation by dividing. 125 = 5f
Answer:
Answer = 25
Step-by-step explanation:
125 = 5f
125/5 = f
25 = f
Evaluate 12n, if n=9
Answer:
108
Step-by-step explanation:
if n = 9
Then 12 times n equals 108
The correlation coefficient between class attendance and number of problems missed on an exam is –0.77. Which statement regarding this finding is correct?
Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Step-by-step explanation:
Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.
When correlation coefficient is negative it means negatively correlation.
i.e. If independent variable increases dependent variable decreases or vice-versa
Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.
VariablesIndependent: class attendance
Dependent: problems missed on an exam
So by correlation coefficient , correct interpretation would be:
Student with high class attendance is less likely to miss problem on an exam.
i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.
Determine what type(s) of angles are described by the following angle measures. Two angles measuring pi/8 and 7pi/8 radians.
Answer:
Hey there!
These would also be acute angles.
Let me know if this helps :)
a.
Write this expression 5x5x5x5 using
exponent.
Answer:
5^4
Step-by-step explanation:
i cant really explain except a power means you time that number that many times so so 5 to the 4th power
Answer:
[tex]5^4\\[/tex]
Step-by-step explanation:
Recall that exponents are a convention used to simplify the writing of expressions that involve the multiplication of a repeated factor by using as the base of the exponent the factor that is multiplied, and for the exponent the number of times the actor appears:
[tex]a\,*\,a\,*\,a\,*\,a=a^4[/tex]
so in your case, the base (repeated factor) is 5, and the exponent (number of appearances of the factor 5 is 4:
[tex]5*5*5*5=5^4[/tex]
PLEASE HELP....Alex bought new jeans. She paid $43.20 at the cash register, which included 8% sales tax. What's the cost of the jeans before tax?
Answer:
39.75
Step-by-step explanation:
take the total cost multiply it by 1.08 then subtract that from the final cost hope it helps
Answer:
$39.75
Step-by-step explanation:
Step 1: multiply 43.20x.08=3.45
Step 2: subtract 43.20-3.45=39.75
All done!
an Airbus A380 has 1 first class section 1 business class section and 4 economy class sections
the first class section has 14 seats. 6/7 are being used.
the business class section has 64 seats. 7/16 are being used.
each economy class section has 117 seats. 7/13 in each section are being used.
are more than half the seats on the plane being used you must show your working out.
Answer:
Yes, more than half are being used. (292 out of 546 used)
Step-by-step explanation:
The first part of this problem is to determine the total amount of seats on the plane so we can determine what half of the seats would be.
1st class has 14 seats.
Business-class has 64 seats.
And the 4 economy classes have 117 each, meaning 117 * 4 = 468
So the total amount of seats are 14 + 64 + 468 = 546
So half that amount would be 273.
Now we can determine the number of seats being used.
1st class has (6/7) * 14 = 12 seats used
Buisness-class has (7/16) * 64 = 28 seats being used
Economy has 4 * (7/13) * 117 = 4 * 63 = 252 seats being used
So the total amount of used seats would be 12 + 28 + 252 = 292.
Note that 292 is greater than 273, so there is indeed more than half the seats on the plane being used.
Cheers.
GEOMETRY!! SOMEBODY PLEASE HELP ME ON THIS ITS URGENT! I NEED TO COMPLETE THE DILATIONS
im not going to give u the answer but all you do is
step by step :
#1. D2- (-6*2),(0*2)=(-12,0)
(3*2), (-9*2)= (6,-18)
(12*2),(4*2)=( 24,8)