Here is the full question:
[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]
[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]
[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]
Answer:
(a) 0.2007
(b) 0.2510
(c) 0.2150
Step-by-step explanation:
Given that:
The sample size = 10
Sample proportion= 60% 0.6
Let X represents the no of streaked-shell snails.
[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]
The Probability mass function (X) is:
[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]
The Binomial probability with mean μ = np
= 10 * 0.6
= 6
Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]
= 1.55
The probability that the percentage of the streaked-shelled snails in the sample will be:
a)
[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]
[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]
= 0.2007
b)
[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]
[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]
= 0.2510
c)
[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]
[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]
= 0.2150
Write a multiplication equation that describes the picture of the half pants below use fraction below
Evaluate the expression
what is 2+49÷(-7)?
Answer:
-5
Step-by-step explanation:
can u pls help me with this question asap
Can anyone answer this??
Mya is buying juice boxes for a party
Answer:
Step-by-step explanation:
you need more info
3. $35 dinner; 20% tip
What is the slope of the line shown in the graph?
A 3/2
B) 2/3
C) -3/4
D) -2/3
Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is
[tex]slope = m = \frac{y2 - y1}{x2 - x1} = \frac{y1 - y2}{x1 - x2} \\ [/tex]
then the slope of the line that crosses (0, 3) & (4.5, 0) is
[tex]m = \frac{3 - 0}{0 - 4.5} = \frac{3}{ - 4.5} = - \frac{3}{ \frac{9}{2} } = - \frac{2}{3} [/tex]
What is the coefficient in the inequality 3x=10?
Answer:
3.3333333333333333333333333333333
Step-by-step explanation:
so u do 10 divided by 3 =3.333333333333333333333333.
x = what i said
Show that x+y:x-y=3:2
We have,
x+y:x-y=3:2
To prove that, x+ y : x - y = 3:2.
x+y=3
And,
x+y = 2
Adding (1) and (2), we get
x+y+x-y=3+2
⇒2x=5
⇒ x =
Put x = in (1), we get
+y=3
⇒ y=3-=
x+y:x-y=
=3:2
So, x+y:x-y=3:2.
Find the general solution to the equation y(5) - 4y(4) + 4y(3) = 1.
Answer:
y= -1/23
Step-by-step explanation:
The equation y(5)-4y(4)+4y(3)=1 can be solved thus:
Work on brackets first:
5y-16y+12y=1
Add up y values
5y-28y=1
Divide both sides of equation
-23y=1
y=1/-23
Therefore the value of y is -1/23
Help me please ?????
Answer:
It is C because I am sure it is a function
In the formula d=r* t the letters are called
Answer:
Distance = Rate x Time
Step-by-step explanation:
You can use the equivalent formula d = rt which means distance equals rate times time. distance = rate x time. To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. speed = distance/time.
6) Tell whether -3 is a solution of the inequality.: y +6<4
A-solution
B-not a solution
Answer:
A - Yes, it's a solution
Answer:
Yes, it is a solution.
Step-by-step explanation:
The reason why it is a solution because when you plug -3 into the y and add -3+6<4, you will get -9<4. -9 is less than 4 because the 9 is a negative. Hope this helps!
Please help me find the equation fully simplified in slope-intercept form!!!!
Answer:
y = -3x +7
Step-by-step explanation:
Slope intercept form is y = mx + b, and needs two things, the slope (m) and the y-intercept (b) of a line. The slope is the rise/run and the y-intercept is where the line crosses the y-axis.
From the graph, it is easy to see the y-intercept (b). The line crosses the y-axis at 7.
Next, you need to fine the slope. All you have to do is pick a point on the line and plug it into the equation y = mx + b, since you already have the y-intercept.
Let's pick an easy point like (2, 1). x = 2 and y = 1
y = mx + b
1 = m(2) + 7
To isolate m, you can first subtract 7 on both sides.
Simplifying, you would get:
-6 = m(2)
To solve for m, you just need to divide both sides by 2.
So, m = -3.
Now, you have everything you need! m = -3 and b = 7.
The equation is y = -3x +7.
Can y’all please help me I’m stuck and I don’t understand will mark BRAINLIEST!
Answer:
1 is x=6
2 is x=-2
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
.......................
Diana is training for a marathon. The total miles she runs varies from week to week but follows the
pattern described in the table. Diana wants to run at least 60 miles next week. What are the possible
distances she can run on Monday? Describe and graph the reasonable solutions.
Click the icon to view the training schedule.
Answer:
I got the exact question so pls hit me up when you find the answer
Step-by-step explanation:
Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?
Answer:
Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?
Step-by-step explanation:
Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The okpm of the stickers have pictures of rs have pictures of people. How many stickepeople?
Find the value of x. Show your work. Congruent triangles
Answer:
Step-by-step explanation:
resend it its blury .......the image
Rosa spent $5.76 on 8 candy necklaces. How much did each necklace cost?
Answer:
0.72 or 72 cents
Step-by-step explanation:
5.76/8=.72
In April, 287 people visited an amusement park. In May, 379 people visited the same amusement park. In June, twice as many people visited the amusement park as visited in April and May combined. How many people visited the amusement park in June?
Answer:
1332 i think
Step-by-step explanation:
287+379=666
666*2=1332
write a polynomial function in it's factored form with zeros 5, -1, and 2
Answer:
(x - 5)(x + 1)(x - 2) = 0
Step-by-step explanation:
If a polynomial function has roots a, b, and c, then it is (x - a)(x - b)(x - c).
The roots here are 5, 1, and 2, so the factors are
(x - 5)(x - (1))(x - 2)
The function is:
(x - 5)(x + 1)(x - 2) = 0
If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until
there is $8000 in the account?
Answer:
7.85 years which I think rounds to about 7 years and 11 months
Step-by-step explanation:
The formula for compound interest is
[tex]AV=PV*(1+\frac{i}{n})^{t*n}[/tex]
Where AV = Accumulated Value (or Future value)
PV= Present value
i= nominal interest rate
n= number of times compunded in a period (here a period is a year)
t= number of periods (years in this case)
We can plug this numbers in to get
8000=5000*(1+(.06/12))^12x
First we divide by 5000 to get
1.6=(1.005)^12x
We can rewrite this into a logarithim
log₁.₀₀₅1.6=12x
The formatting here is kind of weird but I'm trying to say that log base 1.005 1.6 = 12x
We can compute this and get
94.2355=12x
divide by 12 to get that
x=7.85 Years
plsss as soon as posible
A rectangular plot of land has an area of 115 square kilometers and a length of 23 kilometers. What is the width of the plot of land Hint: use the formula A = l x w, and replace A with the # given and length with the # given
Answer: Your answer is 5.
Step-by-step explanation: All you have to do is divide 115 and 23, and that will give you your product, 5.
someone please answer this
9514 1404 393
Answer:
x = 2∠IEH = 58°∠IHE = 49°Step-by-step explanation:
a) The diagonals of a parallelogram bisect each other. So, the length of one half is equal to the length of the other half.
IE = IG
2x -2 = 2
x -1 = 1 . . . . . . divide by 2
x = 2 . . . . . . . add 1
__
b) Sides of a parallelogram are parallel, so each diagonal can be considered to be a transversal. Alternate interior angles where the transversal meets parallel lines are congruent. (Essentially, the figure is symmetric about its center, where the diagonals cross.)
∠IGF ≅ ∠IEH = 58°
∠IFG ≅ ∠IHE = 49°
What is the best unit of measurement for a wasp’s leg?
Answer:
I'd say mm
Step-by-step explanation:
i would choose millimeters because a whole wasp is about 2 centimeters, and there is 10 millimeters in 1 centimeter, so a wasps length is about 20mm, i would think their legs are between 1 and 3 mm long. maybe longer depending on the type of wasp, but i would think to measure in millimeters
The graph shows the number of quarts picked and the amount of money the customer paid.
Part A
What is the constant of proportionality, and what does it mean in this situation?
Answer:
Constant of proportionality k = 3.5
In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.
Step-by-step explanation:
We need to find what is the constant of proportionality, and what does it mean in this situation?
Constant of proportionality can be defined as:
[tex]if\:y\:\alpha \:x\:then\:y=kx[/tex]
Where k is constant of proportionality
It tells that there is constant increase in the value of y.
Looking at the graph,
we get Number of Quarts (x) = 1, Amount Paid (y)= 3.5
so, finding constant of proportionality
[tex]y=kx\\3.5=k(1)\\k=3.5[/tex]
Now, Number of Quarts (x) = 2, Amount Paid (y)=7
so, finding constant of proportionality
[tex]y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5[/tex]
So, for any value of x and y, the value of k remains constant i.e 3.5
So, constant of proportionality k = 3.5
In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.
What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?
12C7(3)7
12C8
12C4(3)4
12C8(3)8
Answer:
I am not sure about this question sry but u can try asking a tutor u don't need to use any points
Answer:
Step-by-step explanation:
I don't get the question do you have a picture?
X increased by 61% plz help
Answer:
Step-by-step explanation:
x+61/100
Can someone please help
Answer:
Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis
Step-by-step explanation:
Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example, the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.