Answer:
[tex]E(x) = 7.86[/tex]
Step-by-step explanation:
Given
Represent the size with n and the probability with p
[tex]n = 12[/tex]
[tex]p = 0.655[/tex]
Required
Determine the expected value; E(x)
[tex]E(x) = np[/tex]
[tex]E(x) = 12 * 0.655[/tex]
[tex]E(x) = 7.86[/tex]
Hence, the expected value is 7.86
The expected value is 7.86.
Important information:
Group size = 12Probability that a batch of size 12 tests negative is 0.655.We need to find the expected number (expected value) of tests needed for a group of size 12.
Expected value:The expected value is:
[tex]E(x)=np(x)[/tex]
Where, n is the batch size and p is the probability.
[tex]E(x)=12(0.655)[/tex]
[tex]E(x)=7.86[/tex]
Therefore, the expected value is 7.86.
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please don’t skip over me
show all work
Answer:
1 + i[tex]\sqrt{5}[/tex], 1 - i[tex]\sqrt{5}[/tex]
Step-by-step explanation:
A quadratic function is f(x) = a[tex]x^{2}[/tex] + bx + c
Your function with the given values is f(x) = 2[tex]x^{2}[/tex] - 4x + 12
To solve a quadratic function, you can use the quadratic formula
(-b +/- [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a
Fill in with your given values.
(4 +/- [tex]\sqrt{(-4^{2} - 4 (2) (12)}[/tex] ) / 2(2)
Simplify
(4 +/- [tex]\sqrt{16 - 96}[/tex]) / 4
(4 +/- [tex]\sqrt{-80}[/tex] ) / 4
Because there is a negative number under the square root making it an imaginary number put an i by it.
(4 +/- i[tex]\sqrt{80}[/tex]) / 4
80 is divisible by 16, a perfect square. 80 / 16 = 5
(4 +/- 4i[tex]\sqrt{5}[/tex]) / 4
Divide by 4
1 +/- i[tex]\sqrt{5}[/tex]
Your teacher may want you to list your radical without the i and just as [tex]\sqrt{-5}[/tex], so keep that in mind.
Don't forget to list it both as addition and subtraction.
Like segment AB is divided by point C in the ratio of 1:3
Answer:
A
Step-by-step explanation:
John could not decide, but he had 9 dollars he could spend on fruit kabobs that cast 1.75 dollars and smoothies that cost 2.50 dollars. He knew he wanted at least one each. What are some combinations he could afford? Show at least three possibilities.
Answer:
One fruit kabob and one smoothie
Two fruits kabobs and two smoothies
Three fruit kabobs and one smoothie
One fruit kabob and two smoothies
Explanation:
In this situation, the basic combination John can afford is simply to buy one fruit kabob and one smoothie ( $1.75 + $ 2.50 = $4.25) because he wants at least one unit of each item. Additionally, it is possible to add more units of each item to create new combinations or possibles, just make sure they do not total more than 9 dollars, which is the money John has. Here are some of the possible combinations:
Two fruit kabobs and two smoothies
Fruit kabobs: $1.75 x 2 = $3.5
Smoothies: $ 2.50 x 2 = $5
Total: $8.5
Three fruit kabobs and one smoothie
Fruit kabobs: $1.75 x 3 = $5.25
Smoothie: $2.50
Total: $7.75
One fruit kabob and two smoothies
Fruit kabob: $1.75
Smoothies: $2.50 x 2 = $5
Total: $6.75
complementary angles
If G= (6x-15)° and H= (3x+6)° find the x value and H
Answer:
x = 11 and H = 39°
Step-by-step explanation:
Complementary angles add up to 90 degrees, so angles G and H will add up to 90 degrees.
Create an equation by adding the expressions together and setting it equal to 90.
(6x - 15) + (3x + 6) = 90
Solve for x by adding like terms first:
9x - 9 = 90
Isolate x and solve:
9x = 99
x = 11
Then, find H by plugging in 11 as x into the expression:
3x + 6
3(11) + 6
33 + 6
= 39
So, x = 11 and H = 39°
The value of x is 11 and the value of H is 39.
Given,
G= (6x-15)°
H= (3x+6)° are complementary angles.
We need to find the value of x and H
What are complementary angles?
If the sum of two angles is 90 degrees the angles are called complementary angles.
We have,
G= (6x-15)°
H= (3x+6)° are complementary angles.
We can write it as,
(6x-15)° + (3x+6)° = 90°
6x - 15 + 3x + 6 = 90
9x - 9 = 90
9x = 90 + 9
9x = 99
x = 99/9
x = 11
Find the value of x and H.
x = 11.
H = 3x + 6
= 3 x 11 + 6
= 33 + 6
= 39
H = 39
Thus the value of x is 11 and the value of H is 39.
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what does 5n represent
Answer:
5n is equal to 5 x n.
Step-by-step explanation:
If n = 6 , then 5n would equal 5 x 6 , or 30.
Answer:
5n means 5 × a number
Step-by-step explanation:
say if your problem is 5n=20
20 ÷ 5=4
n=4
5 × 4= 20
hope this helps!
HELP. ONLY ANSWER QUESTION 4. THANKS
Answer:
A. x+30
B. x+35
Step-by-step explanation:
A. Daniel
Since "Daniel is 30 cm taller than Katie" and "Katie's height is x cm", the expression will be x+30
B. Juli (sorry I can't type the full name due to Brainly system)
Since "Juli is 5 cm taller than Daniel" and Daniel is (x+30) cm, the expression will be (x+30)+5=x+35
From 60 to 36% in phones
3.2 as a fraction or mixed number in simplest form.
Answer:
3 1/5 is 3.2 as a mixed number
Answer:
3 and 1/5
Step-by-step explanation:
Can someone help me with this two step equation?
8-1/3x=16
Answer and work down below. Let me know if you have questions
the perimeter of a rectangle is at most 24 cm. Two opposite sides are both 4cm long. What are the possible lengths of the other two sides
Answer: The "possible" lengths are 8' .
Answer:
The posible length for the other 2 sides is 8cm
PLS HELP ME WITH THIS!
Answer:
second one (b)
Step-by-step explanation:
The nickel (at the bottom) is increasing at a steady pace. We know this because the line is going in a linear motion (meaning in a straight line). And it is increasing by a steady number (the gradient is 5 grams).
Graph the solution to the following inequality.
Explanation= You basically do x=6 on the graph then you shade in the right side because that represents that x is GREATER THAN OR EQUAL to 6.
Consider the expression (x 6) – 3x
What is the value of the expression evaluated for x = 12?
a) –26
b) –25
c) 12
d) 46
Answer:
-26
Step-by-step explanation:
I just did it and I got it right
squaring a number is raising that number to a power of
Answer: 2
Step-by-step explanation:
When you take the square of a number, you are taking it to the 2nd power
Answer:
squaring a number is raising that number to the power of 2
Step-by-step explanation:
for example:
what is the square number of the following
1) 4 => 4² = 16
2) 2 => 2² = 4
Variables on both sides
4x + 9 = 2x + 13
Answer:
x = 2
Step-by-step explanation:
i guess
Angelica is buying 5 tickets to the school musical. Tickets cost $7 each.
If c represents Angelica's total cost for tickets, which equation below is correct?
c = 5
c = 5 + $7
c = (5)($7)
c = $7
Hi!
Your answer should be: 3/c, "c= (5)($7)"
Reason being:
A: it only has the number of tickets, so that wouldn't make sense.
B: It has both numbers, but, were not adding, because the tickets cost $7 EACH, so only adding them wouldn't give you the right answer.
C: They are multiplying 5x$7, which is correct because each ticket is $7, and she is trying to buy 5, so 5x$7=c is correct.
D: like A, they only have one part of the problem, so it wouldn't make sense.
Hope this helps!
Yours truly,
~~~PicklePoppers~~~Answer:
I did this in a test so the answer is the third one. i already knew the answer was the third one.
Step-by-step explanation:
Lets check all of em first.
c = 5
(c) cant equal five because (c) is the total cost for tickets and if she bought 5
and each of them is $7 it cant be 5 thes goes same for the other- c = $7
Now for c = 5 + $7 Clearly you cant find out the total cost for 5 tickets using addition.
therefore, the right answer is c = (5) ($7)
Calculate the mass of a liquid with a density of .7892 g/mL and a volume of 121.0 mL.
Answer:
95.49 g
Step-by-step explanation:
D = m/v
Looking for mass so isolate m to form equation format
D × V = m
Plug in numbers
.7892g/mL × 121.0 mL = 95.4932 g
Only g and not g/mL because the mL cancels each other out. It's easier to see if you rewrite it on paper.
Round to sig figs
Both original numbers hold 4 sig figs
95.49 g
List the terms of the expression 9x + 4y - 2
9,4
9, 4,-2
9x, 4y
9x, 4y, -2
Answer:
9x, 4y, -2
Step-by-step explanation:
The terms are the constants or products that make up the sum that is the polynomial. They are ...
9x, 4y, -2
Henry is cooking a turkey for his family. His recipe says to cook the turkey for 15 minutes per pound. Identify the independent and dependent quantities.
Answer:
the time is the independent quantities and the dependent one is the mass of the turkey
Step-by-step explanation:
the reason is that the mass is the one determining the time but the time per pound is not going to change their for you can say with confidence that this is the answer.
hope you can learn from this response
Write the explicit rule.
-21, -51, -81, -111, -141
Answer:
aₙ = - 30n + 9
Step-by-step explanation:
You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.
aₙ = a₁ + (n - 1)d
= - 21 + (n - 1) * - 30
= - 21 - 30n + 30
= - 30n + 9
Your solution would be option d. aₙ = - 30n + 9
how many liters are in 45 microliters?
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/28/20 Time: 9:39 am CST
Answer:
4.5 liters
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
Simplify the expression by combining like terms
-7x + 2 + 4x – 1
hope that helps and plss tell me if you have any questions :))
Answer:
[tex]\boxed{-3x + 1}[/tex]
Step-by-step explanation:
[tex]-7x + 2 + 4x - 1[/tex]
[tex]= -7x + 2 +4x + -1[/tex]
Combine Like Terms:
[tex]= -7x + 2 + 4x + -1[/tex]
[tex]= (-7x + 4x) + (2 + -1)[/tex]
[tex]= -3x + 1[/tex]
Hope this helped you!
if 2 out of the 5 registered voters will cast a ballot in an election and there are 450,000 registered voters,how many people will cast a ballot?
Answer:
180,000 people
Step-by-step explanation:
2/5= 0.4
0.4x450,000=180,000
Answer:
180,000
Step-by-step explanation:
450,000/5 = 90,000
90,000 * 2 = 180,000
What percent of 100 is 78?
Answer:
78% of 100.
Step-by-step explanation:
78 out of 100 is 78/100, in other words 78%.
78 is 78% of 100.
All you need to do is add a percent sign and your set!
If this helped may i have brainliest?
18:27
how to reduce this ratio
15. Which statement explains why 30 is considered an irrational number?
A.
When evaluated, 730 results in a repeating decimal, which is considered an
irrational number.
When evaluated, 30 results in a terminating decimal, which is considered an
irrational number.
B.
C.
When evaluated, V30 results in a nonterminating and nonrepeating decimal, which
is considered an irrational number.
D.
When evaluated, 30 results in a whole number, which is considered an irrational
number.
Consider the given number is [tex]\sqrt{30}[/tex] in question as well as in options.
Given:
[tex]\sqrt{30}[/tex] is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
[tex]\sqrt{30}=5.47722557505...[/tex]
When evaluated, [tex]\sqrt{30}[/tex] results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.
Another name for the natural number is____.
A. The whole numbers
B. The counting numbers
C. The integers
D. The rational numbers
Answer:
counting numbers is another name
common facotors of 21 and 63
Answer:
7
Step-by-step explanation:
because 7x3 is 21 and 7x9 is 63
How many trees are 3 years old?
A. 1
B. 3
C. 0
D. 2
Answer:
D. 2
Step-by-step explanation:
Answer:
2 trees are 3 years old!
Need help with this
Answer:
[tex](-\frac{2}{5})^3[/tex]
Step-by-step explanation:
