Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 65 - 70 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7.81}[/tex]
[tex]Z = 0.64[/tex]
[tex]Z = 0.64[/tex] has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Express (x+8)squared as a trinomial in standard form
Step-by-step explanation:
(x + 8)²
= (x + 8)(x + 8)
= x² + 2(x)(8) + 8²
= x² + 16x + 64.
The binomial expression (x + 8)² is converted into trinomial in standard form x² + 16x + 64.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The expression is given below.
⇒ (x + 8)²
Simplify the expression, then we have
⇒ (x + 8)²
⇒ x² + 8² + 2·8·x
⇒ x² + 16x + 64
The binomial expression (x + 8)² is converted into trinomial in standard form x² + 16x + 64.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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Find the volume of the cube
Answer:
You just do 3/4 × 3/4 × 3/4 to find the volume. the answer would be 27/64 in fraction form. in decimal form it would be 0.421875
Answer:
0.421875 if its wrong sorry
Step-by-step explanation:
63 = 7(c + 2)
so c = what
Answer:
c=7
Step-by-step explanation:
63=7c+14
49=7c
7=c
c=7
— 3 + 5 + 6g = 11 – 3g
Given : −3 + 5 + 6g = 11 − 3g
To find : The variable g
Solution:
Isolate and solve for the variable g in the equation −3 + 5 + 6g = 11 − 3g
Steps:
−3 + 5 + 6g = 11 − 3g
2 + 6g = 11 − 3g
6g = −3g + 9
9g = 9
g = 1
Hence,
Answer: g = 1
Calculate and express your answer in decimal form: 1/2 x 17 *
Answer:
8.5
Step-by-step explanation:
HELP ME PLEASE!!! this dosent make sense
Answer:
I think it would be D not sure tho hope this is helpful
Answer:
B
Step-by-step explanation:
The correct answer is B because in A and C, the gray area is not under the blue line since y has to be less than the equation. It is not D because the equation does not have a negative slope and in this inequality, it is also not equal to. Because the line in D is not a dotted line, then you know it is also equal to.
Note: Use system of equations to solve word problems
The length of a garden is 5 feet greater than 2 times the width. The perimeter of the garden is 76 feet. What are the length and width of the garden?
Answer:
length is 32 and width is 6
Step-by-step explanation:
12w + 4 = 76
12w = 72
w = 6
6 time 5 is 30 plus 2 is 32
What is the value of the expression below when w=3w=3?
10w^2 +9w-2
10w
2
+9w−2
Answer:
i dont know sorry
Step-by-step explanation:
but hi :3 how are you
What does "of" mean in a persent question
Answer:
existing or occurring now
ASAP thank you Thank everyone
Answer:
she worked a total of 20 hours
Answer:
h = 21
Step-by-step explanation:
10h + 15 = 225
10h + 15 - 15 = 225 - 15
10h = 210
10 ÷ 10h = 210 ÷ 10
h = 21
Is 3/7 closet to 0, 1/2 or 1
Answer:
1/2
Step-by-step explanation:
if you divide them you get about 42 and after you round it,it's closer to 50%
Answer:
1/2 is closest to 0
Step-by-step explanation:
I need the simplified expression for this please
Answer:
4x + 8
Step-by-step explanation:
1. 4(2x + 4) Multiply 2x by 4 to get 8x. Multiply 4 by 4 to get 16. You should now have the equation 8x + 16 / 2.
2. Divide the 8x and 16 by 2. You should get 4x and 8. (4x + 8).
Simplify sin^2y/sec^2 y−1 to a single trigonometric function
Answer:
[tex] \frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 } = { \cos }^{2} y[/tex]
Step-by-step explanation:
We know that [tex] { \tan }^{2} y = { \sec }^{2} y - 1[/tex]
Also , [tex] { \tan}^{2} y = \frac{ { \sin }^{2} y}{ { \cos }^{2}y } [/tex]
So ,
[tex] \frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 } = \frac{ { \sin}^{2} y}{ { \tan }^{2} y} = \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } } = { \cos }^{2} y[/tex]
Which ordered pair would be a solution of the equation y=-1/4x+6?
Answer:
1/4 and 6
Step-by-step explanation:
Simplify the expression
| -15 -9 |
Answer:
24
Step-by-step explanation:
-15-9 is -24 but you need the absolute value so u turn it positive
I hope that this heps you out...
Answer:
-24
Step-by-step explanation:
Hey there! when there are two negative numbers like in this equation we add them and the number will be negative.
let's solve this expression
-15 -9 = -24
An audio cable is 14.7 dm long. How long is the cable in meters?
Answer:
1.47
Step-by-step explanation:
It's quite easy to calculate, one decimeter is equal to 0.1 meters!
How to solve:
5 1/2 + x/6 ≤ 3 1/3
Answer:
the answer is x ≤ -91
Step-by-step explanation:
Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/heur at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before
homecoming.
Answer:
he would need to mow lawns for 8 hours
Step-by-step explanation:
What quantity is being measured: 54ON
Answer:
Force
Step-by-step explanation:
The n at the end stands for newtons and this is the measurement for force.
HOPE THIS HELPED
Simplify the ratio 9:12
6=a/4+2 help me please please thank you
Answer:
[tex] \boxed{a = 16}[/tex]
Step-by-step explanation:
[tex]if \: the \: question \: is \to \: 6= \frac{a}{4} +2 \\ 6(4) = \frac{a}{4} (4) + 2(4) \\ 24 = a + 8 \\ 24 - 8 = a \\ \boxed{a = 16}[/tex]
How do you do 17-24 and what are the answers
Answer:
-7
Step-by-step explanation:
:))
Which of the following expressions represents the distance between -2 and 1?
Ava planned to paint 5 flowerpots. She painted 4 already. What percentage of her work is complete?
O 75%
O 80%
O 20%
O 50%
Answer:
80%
Step-by-step explanation:
4/5 = .8
.8 = 80%
Four more than twice a number is the same as 8 less than three times the same
number. What is the number?
Answer:
Step-by-step explanation:
The volleyball coach wants to buy new warm-up suits for her team. The suits cost $20. The coach has $210. How many warm-up suits can she buy?
Answer:
100
Step-by-step explanation:
because 20×10=$200
Answer:
10 suit
Step-by-step explanation:
she can buy 10 suit
210 divide 20 is 10.5
but since half aren't counted
it just 10 suit
A DEPOSIT OF $600 EARNS 2.5% INTEREST FOR 6 YEAR?
Answer: $73.80 in interest over a 6 year period
Step-by-step explanation:
600*0.0205= 12.30*6=73.80
Answer:
Step-by-step explanation:
if you have 600 dollars in the bank, and 2.5% interest
600*2.5/100=15 dollars per year
6*15=90 dollars interest in 6 years
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
Answer:
The equations are not given but the clue to your answer is given below:
Step-by-step explanation:
So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.
To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:
1. The maximum number or power that any variable in a linear equation is raised to is 1.
Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.
2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.
Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.
3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.
Example: 2x + 6y = 43z is NOT a linear equation.
The steps of the scientific method are listed below. Check the box next to each step of the scientific method that you think communication plays an important role in.
Answer: all of them
Step-by-step explanation:
Please Help :) Thanks!
Answer:
it's C
Step-by-step explanation:
You have to plug in the inputs into the n variable to get your answer/output.
Answer:
Step-by-step explanation:
f(n)= 3n+2
hence
1) for n= -2
f(-2) = 3(-2)+2 =-6+2= -4
2) for n= -1
f(-1) = 3(-1)+2 =-1
3) for n=0
f(0)=3(0)+2 = 2
4) for n=1
f(1) =3(1)+2 =5
5) for n=2
f(2)=3(2)+2 =8
Hence "C" option is correct
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