Answer:
a. 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation is known to be 14.
This means that [tex]\sigma = 14[/tex]
Sample of 49
This means that [tex]n = 49[/tex]
The standard error of the mean is
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2[/tex]
So the correct answer is given by option a.
Math Escape Level 3 plz hurry it is due to today bestie
Answer:
1
Step-by-step explanation:
x-9=-8
x=-8+9
x=1
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p
Answer:
https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate
find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).
A=1/2 bh; solve for b
I need help anyone help me with this
Answer:
b=2A/h
Step-by-step explanation:
[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]
Answer:
b = 2A/h
Step-by-step explanation:
To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.
Juanita is decorating for a birthday party. She buys more than 30 balloons and attaches 6 of them to the chair for the birthday girl. She also wants to attach balloons to each of the 4 tables, with the same number of balloons at each table. If n represents the number of balloons at each table, this situation can be represented by the inequality 6 + 4n > 30. What does the solution to this inequality represent? A. She must attach fewer than 6 balloons to each table. B. She can attach more than 6 balloons to each table. C. She must attach fewer than 9 balloons to each table. D. She can attach more than 9 balloons to each table
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
please help!!!!!!!!!!
Answer:
y - 2 = 0
Step-by-step explanation:
find slope first:
(2-2)/(5+1) = 0/6 or 0
now use 'y=mx+b' to find the y-intercept (the 'b'):
2 = 0(5) + b
2 = b
so, in slope-intercept form, the equation is:
y = 2
but, in standard form, the equation is:
y - 2 = 0
What is the value of f(-4)
Answer:
the correct answer is 10
Step-by-step explanation:
Find the focus of the parabola whose equation is y=1/8 x^2
Answer:
The focus is: [tex](0,2)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{1}{8}x^2[/tex]
Required
Determine the focus
The focus of a parabola
[tex](x- h)^2 = 4p(y - k)[/tex]
is:
[tex](h,k+p)[/tex]
So, we have:
[tex]y = \frac{1}{8}x^2[/tex]
Cross multiply
[tex]8y = x^2[/tex]
Rewrite as:
[tex]x^2 = 8y[/tex]
Rewrite as:
[tex](x - 0)^2 = 8(y - 0)[/tex]
Express 8 as 4 * 2
[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]
By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]
[tex]h = 0[/tex] [tex]p =2[/tex] [tex]k = 0[/tex]
So, the focus [tex](h,k+p)[/tex] is:
[tex](h,k+p) = (0,0+2)[/tex]
[tex](h,k+p) = (0,2)[/tex]
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
Quieres un chocolate?
Please help reply correctly in Spanish
Answer:
sí, (yo) quiero un chocolate
The mean of eight numbers is 41. The mean of two of the numbers is 29. What is the mean of the other six numbers
Answer:
45
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 8 numbers is 41 , then
[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )
sum of 8 numbers = 328
Given the mean of 2 numbers is 29 , then
[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )
sum of 2 numbers = 58
The sum of the remaining 6 numbers = 328 - 58 = 270 , so
mean = [tex]\frac{270}{6}[/tex] = 45
The mean of the other 6 numbers = 45
Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.
Kite A B C D on a coordinate plane with coordinates A 3 comma 5, B 1 comma 3, C 3 comma negative 1, and D 5 comma 3.
11.3 units
14.6 units
17.4 units
56.0 units
Answer:
14.6 units
Step-by-step explanation:
AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]
AB =[tex]\sqrt{8}[/tex]
BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]
CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]
DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]
Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]
Help me please I don’t understand
=========================================
Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
What is the answer to this??
Answer:
C
Step-by-step explanation:
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
Look at the triangle below which of the following represents two of the angle measures of the triangle
Answer:
C. 60° and 80°
Step-by-step explanation:
Sum of triangle = 180°
Therefore,
8x + 4 + 6x - 2 + 10x + 10 = 180
Add like terms
8x + 6x + 10x + 4 - 2 + 10 = 180
24x + 12 = 180
24x = 180 - 12
24x = 168
x = 168/24
x = 7
Find each measure of the angles by substitute x = 7 into each expression
8x + 4 = 8(7) + 4 = 60°
6x - 2 = 6(7) - 2 = 40°
10x + 10 = 10(7) + 10 = 80°
The answer is 60° and 80°
tan(pi/2)=_
A. -1
B. 0
C. 1
D. Undefined
AP3X
Answer:
I don't know the answer
Step-by-step explanation:
c.1
Candace invests $636 in an investment that pays 7% interest compounded quarterly. What is her annual effective yield? Input answer as a percentage to two decimal places.
Answer:
7.19%
Step-by-step explanation:
let i be the effective rate
[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]
The annual effective yield will be 7.19% for the investment.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.
The annual effective yield will be calculated as below:-
[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)
Solve the equation:-
i = 0.0718
i = 0.0718 x 100 = 7.19%
Therefore, the annual effective yield will be 7.19% for the investment.
To know more about compound interest follow
https://brainly.com/question/24924853
#SPJ2
I need help Thank you i will give brinalist
Answer:
the answer to this is c no association.
Answer:
C
Step-by-step explanation:
The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.
Bonjour, je suis en 4e et j’aimerais que vous m’aidiez avec cette feuille d’exercice s’il vous plaît ? (en précisent vos réponses).
Merci d’avance.
Step-by-step explanation:
1. Soit
T = le coût d'un ticket
5T + 1.8 = 35
T = (35-1.8)/5 = 6.64
On ne sait pas le coût d'un ticket de tramway! :(
2.
a.
1 h : 60 min
x : 18
x = 1*18/60 = 0.3, ou 0.3h
b. => 1h18m = 1.3h
3. 16 L : 4 h
a.
x L : 365*24
x = 365*24 * 16/4 = 35040 L
b.
1 m^3 = 1000 L : 5.2 euros
35040 L : y euros
y = 5.2*35040/1000 = 182.21 euros (au centième)
4.
a. Voir graphique ci-attachée.
b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.
c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.
Notez la ligne bleue horizontale.
d. L'équation de la capacité (C) versus la hauteur (h) est
C(h) = (8/3)h
Pour C=270, 270 = (8/3)h => h=270*(3/8) = 101.25
5. et plus
Désolé, on vous conseil de soumettre une question de 4 parties ou moins.
What is the net price if a purchase would have come to $1,500 at the regular price, but a 3% discount applies to this purchase.
Step-by-step explanation:
100%-3%=97%
$1500*97%=$1455
Retention rates in a weight loss program. Americans spend over $30 billion annually on a variety of weight loss products and services. In a study of retention rates of those using the Rewards Program at Jenny Craig in 2005, it was found that about 18% of those who began the program dropped out in the first four weeks.10 Assume we have a random sample of 300 people beginning the program.
a) What is the mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size? What is the standard deviation?
b) What is the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks?
Answer:
(a)
[tex]\mu=54[/tex]
The standard deviation is
[tex]\sigma=6.6543[/tex]
(b)
[tex]\mu=246\\\sigma=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Step-by-step explanation:
Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.
(a)
The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is
[tex]\mu=np=300\cdot 0.18=54[/tex]
The standard deviation is
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
(b)
Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is
[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Triple XXX Restaurant, a historic and popular diner in West Lafayette, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order French fries is 0.50. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.
==========================================================
Explanation:
Define the events
D = person orders a drinkH = person orders a hamburgerF = person orders friesThe given probabilities are
P(D) = 0.90P(H) = 0.60P(F) = 0.50P(F given H) = 0.80The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
dana has already taken 3 pages of notes on her own, and she will take 2 pages durning each hour of class. write an equation that shows the relationship between the time in class h amd the number of pages p.
write your answer as an equation with p first, followed by an equals sign
Answer:
p = 2×h + 3
Step-by-step explanation:
for every hour in class she writes 2 pages.
so, the total number of pages written is 2 times the number of hours in class.
and she had already a starting "offset", a head start if you will, of 3 pages.
so, even if she spends 0 hours in class, she has these 3 pages no matter what.
hence the "+ 3" part.
5 + 3 = 28
9 + 1 = 810
8 + 6 = 214
5 + 4 = 19
then, 7 + 3 = ???
Answer:
410 is the answer
Step-by-step explanation:
subtract the two digits to get the left most digit of the solution. then add the two digits to get remainder of solution.
ex as we know 5-3=2 and 5+3=8 in the given question
5 + 3 = 28
The answer is 410.
How?
A+B =CD
C=(A-B) , D(A+B)
5 + 3 = (5-3)(5+3) = 28
9 + 1 = (9-1)(9+1) = 810
8 + 6 = (8-6)(8+6) = 214
similarly
7 + 3 = (7-3)(7+3) = 410
Help me find the missing number # 9,10 & 12 please thank you
You roll four six-sided die. Find the probability that exactly three of the
dice are odd.
Answer:
3/8
Step-by-step explanation:
There is a 1/2 probability one die will be odd because 1, 3, and 5 are the only possible odd numbers.
Since you want 3/4 of the dice to be odd, you multiply 1/2 by 3/4 to get 3/8.
I believe it is 3/8.
Answer:
9/24 or 3/8
Step-by-step explanation:
3/6 (3 out of the 6 sides are odd)
3/4 (3 out of 4 die)
Multiply together
3/6 * 3/4= 9/24
so 9/24 is the answer... you can simplify it to 3/8.
ur welcome :)
What is the least common denominator out of 1/9 and 2/3
Answer:
9
Step-by-step explanation:
9 is a multiple of 3, so it is the least common denominator
9 factors : 9,18,27,36,45,54, ...
3 factors : 3 , 6, 9, 12, 15, 18, ..
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
how to solve 11/8 ÷ 4/9
[tex]3.09375[/tex] ✅
Step-by-step explanation:
[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
