Answer:
The sample space for selecting the group to test contains 2,300 elementary events.
Step-by-step explanation:
There are a total of N = 25 aluminum castings.
Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).
It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
Compute the number of samples that are possible as follows:
[tex]{25\choose 3}=\frac{25!}{3!\times (25-3)!}[/tex]
[tex]=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300[/tex]
The sample space for selecting the group to test contains 2,300 elementary events.
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
Find the measures of the missing values.
An isosceles triangle is transformed such that the vertex P' corresponds to the vertex P.
Which statement describes the transformation of the triangle?
The triangle was reflected over the y-axis.
The triangle was translated to the right 8 units.
The triangle was dilated.
The triangle was rotated 180 counterclockwise.
Answer:
correct
Step-by-step explanation:
Answer:
It is D, I just took the test.
A recipe requires 540 grams of flour for 5 cupcakes.How much flour do you need for 8 cupcakes?
Answer:
864 grams
Step-by-step explanation:
540 divided by 5=108 grams per cupcake
108 times 8=864 grams
Una cartulina de 20 pulgadas de ancho por 32 pulgadas de alto será utilizada para colocar un cartel. El margen en la parte superior e inferior será el doble que el margen en los lados. Encuentre el ancho de los márgenes si la parte impresa tendrá un área de 330 pulgadas cuadradas.
Answer:
can I get an english translation
what is 8 plus 8 over 1 with the power of 4
65,536 welcome :))))))
What is the value of 92?
Angelina puts 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the tub now has 35 liters of water in it. Angelina explain he is wrong. Explain who is correct and why
Answer:
-Angelina is correct
Explaintion: Jack in incorrect because it seems that he messed up is place order. He might have thought that 1 liter is equal to 100 mililiters instead of 1,000. That way he might have gotten 30+5=35 instead of 5+3=8
Step-by-step explanation:
3000 ML+ 5L
1 milliliter has 0.001 liters in it.
3000ML= 3L
Angelina has 8 lieters of water in the tub now.
All my digits are the same. The sum of my digits is greater than twelve. The sum of my digits is less than sixteen. Who am I?
Answer:
7and 7
Step-by-step explanation:
sum 7+7=14is greater than 12and less16
James pald $150 for 5 calculators. What is the unit rate?
Answer:
Unit rate = $ 30.
Step-by-step explanation:
Unit rate = Total cost ÷ Number of calculators
= [tex]\frac{150}{5}[/tex]
= $ 30
Answer:
$30 per calculator
Step-by-step explanation:
To find the unit rate of the calculators, take the total price of calculators and divide it by 5 to get 30.
This method works when finding any unit rate even when it doesn't involve prices.
*Tip* When dividing, write it as a fraction in case the quotient is not a whole number.
The graph models the height of a burning candle over a 10-hour period.
What is the rate of change of the candles height?
Answer:
D. -1.5 cm/hour
Step-by-step explanation:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Using the coordinates of the two points on the line, (0, 18) and (4, 12),
Let,
[tex] (0, 18) = (x_1, y_1) [/tex]
[tex] (4, 12) = (x_2, y_2) [/tex]
Plug the values into the formula for rate of change.
Rate of change = [tex] \frac{12 - 18}{4 - 0} [/tex]
[tex] = \frac{-6}{4} [/tex]
Simplify
[tex] = \frac{-3}{2} = -1.5 [/tex]
Rate of change = -1.5 cm/hour
$46.20 for 12 pizzas, how much per pizza
Answer:
3.85
Step-by-step explanation:i did the math .... :)
Find the 'x' coordinate of the vertex of the equation
-4x2 + 7x - 3= 0.
Answer: 7/8
Step-by-step explanation:
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. a. What is the probability that exactly 5 companies that outsource overseas use a consultant
Answer:
0.1Step-by-step explanation:please see attached the annotated solution
Given data
p=20%= 0.2
n=15 companies
let x = 5 the number of companies that outsource to overseas consultants
The binomial probability distribution is given as
P(x=λ)=nCx*P^x*q^n-x
we also know that q=1-p
When holding your arms horizontal, your body is the line of reflection. true or false?
Answer:
true
Step-by-step explanation:
Your arms would be the line and your body would be the y-axis, and your arms are on either side of the y-axis which means your body is the line of reflection
Hope this helps.
which function has the same domain as y=2_/x?
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
is this relation a function justify your answer
Answer:
D
Step-by-step explanation:
because two points on the x value shouldn't have more that one y value
To make a shade of paint called jasper green, mix 4 quarts of green paint with cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
8 quarts
Step-by-step explanation:
no explanation needed this should be correct.
What is the Esquire root of 3?
Answer:
1.732
Step-by-step explanation:
.......................
g What is the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty?
Answer:
16Step-by-step explanation:
In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;
Let set A = {a, b, c, d}
Power of the set P(A) = [tex]2^n[/tex] where:
n is the total number of element in the set. Since we have four elements in the set, n = 4
[tex]P(A) = 2^4\\P(A) = 16[/tex]
This means that the set A have 16 subsets. The subsets of the set are:
{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.
From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.
Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16
Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y+5 = -0.7 (x-1)
Step-by-step explanation:
m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7
what is 3/8 divided by 2/5
Answer:
15/16
Decimal form: 0.9375
plz mark as brainliest :DD
Are the statements true or false?
Select True or False for each statement.
Statement True False
1/ 4 · 3/ 4 = 3 /4 · 1/ 4
3/4÷2/5=2/5÷3/4
Answer:
It Is true and then false
Step-by-step explanation:
Brainliest!!
If I have 2000 cakes and I give 1000 away and eat 500 and then make 250 more and then cut all that I have left in half how many cakes do I have?
Answer:
You would have 750 whole cakes
OR 1500 half cakes
Step-by-step explanation:
Have a great day! :)
Answer: You would end up with 375 cakes left :)
Jennifer bought some tulips, lilies, and roses to make bouquets. She bought the same number of tulips as lilies. She bought three more roses than tulips and lilies combined. She paid 18 cents for each tulip. The lilies were 27 cents per flower, and the roses cost 55 cents each. How many of each kind of flower did Jennifer buy if she paid $17.15 in all?
Answer: 10 tulips, 10 lilies and 23 roses.
Step-by-step explanation:
Let's define the variables:
T = number of tulips that Jennifer bought
L = number of lilies that Jennifer bought
R = number of roses that Jennifer bought
Each tulip costs $0.18
Each lily costs $0.27
Each rose costs $0.55
We know that:
"She bought the same number of tulips as lilies."
T = L
" She bought three more roses than tulips and lilies combined."
R = T + L + 3
"she paid $17.15 in all"
T*$0.18 + L*$0.27 + R*$0.55 = $17.15
Then we have a system of 3 equations:
T = L
R = T + L + 3
T*$0.18 + L*$0.27 + R*$0.55 = $17.15
The first step to solve this is to replace the first equation into the other two, and get:
R = 2*L + 3
L*$0.18 + L*$0.27 + R*$0.55 = $17.15
Now we can replace the first equation into the second:
L*$0.18 + L*$0.27 + (2*L + 3)*$0.55 = $17.15
Now we can solve this for L.
L*($0.18 + $0.27 + 2*$0.55) + 3*$0.55 = $17.15
L*$1.55 + $1.66 = $17.15
L*$1.55 = $17.15 - $1.66 = $15.50
L = $15.50/$1.55 = 10
Then Jennifer bought 10 lilies.
And by the other two equations:
T = L = 10
She bought 10 tulips.
R = L + T + 3 = 10 + 10 + 3 = 23
She bought 23 roses
20% of the people in a California town consider themselves vegetarians. If 20 people are randomly sampled, find the probability that:
it should be 4 because 20% is considered vegitarian so 20 * 20% = 4
so it should be 4
1/2x - 3 =7
helppp please.
Answer:
x = 20
Step-by-step explanation:
Original Equation:
1/2x - 3 = 7
(1/2x can be written as 0.5x)
0.5x - 3 = 7
Add 3 to both sides.
0.5x = 10
Divide both sides by 0.5
x = 20
Hope this helped :)
Please consider Brainliest :)
ITS URGENT
(5−x)(2x+7)(x−3)≤0
Answer:
− 7 2 ≤ x ≤ 3 or x ≥ 5
Step-by-step explanation:
Basically isolate X,
(Sorry, I don't have time to explain deeply)
Hope I helped!! :)
Answer:
x is part of [-7/2,3]U[5,+infinite [
Joe can drive 194 miles in 4 hours. At the same
rate, how far can he drive in 6 hours.
Answer:
Lets take the miles for 6 hours to be x.
Using cross-multiplication, this problem can be solved.
194 4
x 6
1164 = 4x
x = 291
Therefore, Joe drives 291 miles in 6 hours.
