Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. 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?
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
the five gonzalez children had a total of $66.30 to spend at the fair. How much would each child have to spend?
Trevor has two fraction models, each divided into equal-sized sections. The
fraction represented by Model A is less than the fraction represented by
Model B. Model A is divided into 100 sections and 72 sections are shaded.
Model B is divided into 10 sections. Which statement is true about Model
B?
Answer:
I will answer in a general way because the options are not given.
We know that the area of model A is smaller than the area of model B.
For model A, we have 72 shaded sections, out of 100.
Then the quotient of model A is:
72/100 = 0.72
For model B we have 10 sections, and x shaded ones.
Because model B is greater than model A, we know that:
x/10 should be larger than 72/100
then we have the inequality:
x/10 > 0.72
x > 0.72*10
x > 7.2
And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:
10 ≥ x > 7.2
Then x can be any whole number in that interval.
the possible values of x are:
x = 8
x = 9
x = 10
which equation has the solution of x=4
Answer:
do you have a picture of the equations? then I can help you when you do
plsssss answer thisss!!! will mark brainliest!
Answer:
35
Step-by-step explanation:
35 is the answer, it cant be 15 due to red being 21 MORE
here you go this is the full question please help
The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total
of 48 boys, find the number of girls in the classroom.
Answer:
40 girls
Step-by-step explanation:
To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.
how can i do this? i’m not good with slope at all
Find the missing numerical value in the box for which the equation 23(6x−12)=8+□(2x−4) 2 3 ( 6 x - 12 ) = 8 + □ ( 2 x - 4 ) has no solution.
Answer:
23
Step-by-step explanation:
Given the numbers 9 and 6 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest
hundredth (2 decimal places).
[tex]hypotensuse \: = \sqrt{ {6}^{2} + {9}^{2} } = \sqrt{36 +81 } = \sqrt{117} = 10.82[/tex]
A fruit seller has 264 oranges packed in bags with 8 oranges in each bag she sells each bag of oranges for $4 how much money does the fruit seller collect in all bags
Answer:
$132
Step-by-step explanation:
264 divided by 8 = 33. 33 x 4 = 132
Answer:
132
Step-by-step explanation:
Total number of oranges = 264
Total number of oranges in each bag = 8
264 ÷ 8
= 33
33×4
= 132
A bus drives for 3 and a half hours at and average speed of
Answer: :P
Step-by-step explanation:
Answer: 3.14159
Step-by-step explanation:
something
Select the correct image.
Which quadrilateral is similar to quadrilateral LMNO?
Answer:
The second one
Step-by-step explanation:
If you divided all the dimensions by 2 they will al, simplify to the second image
The quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.
What is the similarity law?It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
The quadrilateral LMNO is shown in the picture
As we know from the similarity law, the ratio of the corresponding sides is in the same proportions.
Applying the similarity law in the quadrilateral LMNO and quadrilateral SRQP:
LM/PQ = MN/RQ = NO/RS = LO/SP
3/1.5 = 4/2 = 2/1 = 5/2.5 = 2
Thus, the quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.
Learn more about the similarity here:
brainly.com/question/8045819
#SPJ5
find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the base is 7 cm
Answer:
[tex]CSA = 660cm^2[/tex] --- Curved Surface Area
[tex]TSA = 968cm^2[/tex] --- Total Surface Area
Step-by-step explanation:
Given
Shape: Cylinder
[tex]h = 15[/tex] -- height
[tex]r = 7[/tex] --- radius
Solving (a): The curved surface area (CSA)
This is calculated as:
[tex]CSA = 2\pi rh[/tex]
This gives:
[tex]CSA = 2 * \frac{22}{7} * 7 * 15[/tex]
[tex]CSA = 2 * 22* 15[/tex]
[tex]CSA = 660cm^2[/tex]
Solving (b): The total surface area (TSA)
This is calculated as:
[tex]TSA = 2\pi r(h + r)[/tex]
This gives:
[tex]TSA = 2 * \frac{22}{7} * 7 * (15 + 7)[/tex]
[tex]TSA = 2 * 22 * (15 + 7)[/tex]
[tex]TSA = 2 * 22 * 22[/tex]
[tex]TSA = 968cm^2[/tex]
F+20=-1
Solve equation
Answer:
F = -21
Step-by-step explanation:
the answer is f=-22
the reason is if you subtract 20 from both sides of the equation it will be
f+20=-1
f+20-20=-1-20
Plz help I am in my unit test plz
The sugar maple tree in Sarah’s yard is the age of the oak tree in her yard. If the sugar maple is 12 years old, how old is
the oak tree?
a. The oak tree is 7 years old.
B. The oak tree is 2 years old.
C. The oak tree is 60 years old.
D. The oak tree is 17 years old.
Step-by-step explanation:
the oak tree is 17 years old
Solve.
L. There was already 14 in. of snow on the ground when the blizzard started.
Each hour for the next 8 hours, 2.5 in. of snow fell. How much snow was
on the ground at the end of each hour?
Answer:
16.5, 19, 21.5, 24, 26.5, 29, 31.5, 34,
Step-by-step explanation:
each hour it increases by 2.5 inches and this is how much in each hour
Answer:
h1= 16.5
h2= 19
h3= 21.5
h4= 24
h5= 26.5
h6=29
h7=31.5
h8= 34
Step-by-step explanation:
start by making an equation to model the scenario then solve for each hour
f(h)=2.5h+14
write an equation in slope intercept form that represents the line shown
Answer:
[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]
Step-by-step explanation:
The equation of a line, in slope-intercept is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is a point in the line and m is the slope.
We have these following points:
(-3,2), (0,1)
I am going to use [tex](x_0,y_0) = (-3,2)[/tex]
So
[tex]y - 2 = m(x - (-3))[/tex]
[tex]y - 2 = m(x + 3)[/tex]
Finding the slope
The slope, given two points, is given by the change in y divided by the change in x. In this question:
Points (-3,2) and (0,1).
Change in y: 1 - 2 = -1
Change in x: 0 - (-3) = 0 + 3 = 3
So
[tex]m = \frac{-1}{3} = -\frac{1}{3}[/tex]
So the equation of the line is:
[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]
39
Simplify
3-12
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들
1
이
o
33
0 321
sin ∠A = ?
[tex]a.\frac{3}{4} \\\\b.\frac{5}{4} \\\\c.\frac{3}{5} \\\\\ d.\frac{4}{5}[/tex]
Answer:
c. 3/5
Step-by-step explanation:
With reference angle A
perpendicular (p) = 3
hypotenuse (h) = 5
Now
Sin A =
[tex] \frac{p}{h} \\ = \frac{3}{5} [/tex]
Hope it will help :)
Answer:
The answer is 5/4
Step-by-step explanation:
The blue dot is at what value on the number line?
- 8
Answer:
4
Step-by-step explanation:
If you look carefully at the number line between -4 and -8 and see the line between the two, you can see that each mark is |2| apart.
If you go up from -4 to the blue dot, you go: -2, 0, 2, 4. There are 4 lines above from -4, so this matches.
Your answer is 4.
what Is 3/4 equal to?
Answer:
75%
Step-by-step explanation:
Celine's retirement party costs $13, plus an additional $1 for each guest she invites.
What is the maximum number of guests there can be if Celine can afford to spend a total of
$46 on her retirement party?
Answer:
She can get 33 guests to her party
Step-by-step explanation:
just do 46-13 and bing bang boom you have the answer
PLS HELP ME ASAP GIVING BRAINLIEST
Answer:
statement
m<abc = m<ghl
reason
transitive property
Step-by-step explanation:
I GIVEEEEEEEEEEE BRAINLIST
Answer:
Step-by-step explanation:
B
At noon a tank contained 8 cm of water after several hours it contained 2 cm what is the percent decrease of water in the tank
Answer:
75%
Step-by-step explanation:
The percent would be the total cm of water, then minus the left over water divided by the original amount of water, and finally multiplying one hundred.
(8-2)/8*100=75%
(TCO 1) A signal given by 15 Cos (20t) 20 Sin (40t) is sampled at a rate of 15 Hz. Is the Nyquist theorem violated
Answer:
Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
Step-by-step explanation:
Given that;
a signal given by 15cos(20t) + 20sin(40t)
sampled at a rate of 15 Hz
Is the Nyquist theorem violated?
so;
from 15cos(20t) + 20sin(40t)
Freq F1 = 20/2π Hz
F1 = 3.1830 Hz
and
Freq F2 = 40/2π
F2 = 6.3661 Hz
Now, Nyquist's rate FN ≥ 2 × F_max
FN ≥ 2 × 6.3661
FN ≥ 12.7322 Hz
Now our given signal was sampled at a rate of 15 Hz
so, Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
You earned 1008 in interest by keeping your money in the bank for 7 years at a rate of 4.5.What was your initial deposit?
Answer:
The principal required to accumulate interest of $ 1,008.00 on a rate of 4.5% per year for 7 years is $ 3200.
Step-by-step explanation:
Given:
Interest I = $ 1008
Time period t = 7 years
Rate of Interest per year r = 4.5% = 4.5/100 = 0.045
To determine:
Initial deposit P = ?
Using the simple interest formula
I = Prt
P = I / rt
P = 1008 / ( 0.045 × 7 )
P = $ 3200
Therefore, the principal required to accumulate interest of $ 1,008.00 on a rate of 4.5% per year for 7 years is $ 3200.
what would you have if you had only 3 wishes
Answer:
I would ask for being rich with my first wish and then ask to stop discrimination in the world and for number 3 i would ask being famous
Step-by-step explanation:
Muffins sell 3 for $1.25. About how much will a dozen cost?
Answer:
$5?
Step-by-step explanation:
3 x 4=12
12 is a dosen
1.25 x 4=5
Answer:
$5
Step-by-step explanation:
About $5 because there is 12 in a dozen, and since your selling three muffins for $1.25, you multiple 1.25 x 4. Then you get $5 as your answer.