Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question, 51 samples, hence, [tex]n = 51[/tex]
Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213
Is this a function? I don’t think it is but I’m not sure.
Answer:
no
Step-by-step explanation:
Raisins and peanuts, again! Sig’s class was told that their mixture is 80% raisins and 20% peanuts. In Sig’s sample, he counted 48 raisins. About how many peanuts would you expect to be in Sig’s sample?
Answer:
About 12 peanuts. This is 20% of 60 (nuts and peanuts together)
Step-by-step explanation:
Let there be a total of n pieces in the mixture. Then, focusing on raisins, 0.80n = 48, so that n = 60. Then the number of peanuts is 0.20(60) = 12.
what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2
Answer:
C. X-4
Step-by-step explanation:
x^2+x-20
=(x-4)(x+5)
Answer:
C.
Step-by-step explanation:
Sorry I Can't explain because I'm busy right now
3/4x3-2= -1/4+1/2x+5
Answer:
what I think the answer is ×=-9
Answer:
[tex]x[/tex] = 19
what is the slope?
what is the y-intercept?
Proportional or not proportional?
equation?
Answer:
slope=8
y-intercept=12
equation y=8x+12
Step-by-step explanation:
not sure if it is a Proportional or not proportional?
Dilations map lines to lines.
true or false ?
Answer:
true
Step-by-step explanation:
what is trigonometric functions
Answer:
a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.
Step-by-step explanation:
hope this helps
-1.2= y/2.4 -1.7
Solve for y
[tex]{\huge{\boxed{\sf{Question}}[/tex]
[tex]-1.2= y\div2.4 -1.7[/tex]
Solve for y
[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]
let's put our equation first
[tex]-1.2= y\div2.4 -1.7[/tex]
Flip the equation
[tex]y\div2.4-1.7=-1.2[/tex]
Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]
[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]
BracketsOf multiplicationDivisionAdditionSubtraction[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]
ParenthesisExponentsMultiplicationDivisionAdditionSubtraction_________________________
[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]
_________________________
[tex]y\div2.4-1.7=-1.2[/tex]
[tex]{\underline{simplify}}[/tex]
[tex]0.416667y-1.7=-1.2[/tex]
add [tex]1.7[/tex] to both sides
[tex]0.416667y=0.5[/tex]
Divide both sides by [tex]0.416667[/tex]
[tex]y=1.2[/tex]
[tex]{\huge{\boxed{\sf{Answer}}}[/tex]
[tex]y[/tex] would equal [tex]1.2[/tex]
Which equation represent this statement?
5 less than twice a number is 3
2n - 5 = 3
2n - 3 = 5
5 - 2n = 3
3 - 2n = 5
Answer: It was 2n-5=3 The other guy was right
Step-by-step explanation: I took the K12 test.
Question 4 of 30
Find the domain of the graphed function.
Answer:
A is the answer
Step-by-step explanation:
y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=
Answer: Y=20
Step-by-step explanation:
X is doubled from 3 to 6 meaning that y is also doubled.
Double 10 is 20 so y=20.
Find the measures of angles 1 and 2.
Answer:
angle one:100 degrees
angle two:70 degrees
Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.
H,200 feet per hour. What is the speed in miles per hour?
Answer:
0.0378788 mph is the correct answer here
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
1. Parallel
2. Neither
3. Perpendicular
4. Perpendicular
5. Neither
6. Same Line
7. Perpendicular
8. Parallel
9. Same Line
10. Perpendicular
11. Parallel
12. Perpendicular
13. Parallel
14. Same Line
15. Perpendicular
16. Parallel
17. Neither
18. Parallel
19. Parallel
20. Parallel
BRAINLIEST
Solve for X. Round to the nearest tenth.
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Hailey is putting up a fence in the shape of an isosceles triangle in her
backyard. The fence has side lengths as shown, where x represents the
number of feet in each fence section. The perimeter of the fence can be
covered using 8 total fence sections represented by the expression 8x. If
fencing costs $6.50 a foot, what would be the total cost of the fence?
(2x + 4) ft
(3x + 7) ft
.
(2x + 4) ft
Answer:
the total cost would be $ 780.00
Step-by-step explanation:
step by step explanation
wHICH ONE IS BETTER!!!!!!!!??????????????
i need help someone plzzz
Answer:
on what...like brush how do we help u if u don't have a question
A soap manufacturing company packs 5252 soap bars per carton.
Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.
If this is the question in picture below.
Answer:
468
Step-by-step explanation:
Do you know the answer for this?????
Answer:
3a
Step-by-step explanation:
9÷3=3
a³-a²=a¹ or just a
b-b= 0
= 3a
Hope this helped you- have a good day bro cya)
Can an object be reflected over a line and not move positions?
No, an object can't be reflected over a line without changing its position.
What is Reflection?A Reflection is a transformation representing a flip of a figure.
Given that an object can be Reflected over a line without moving its position,
There are certain rules for reflection of figures,
(x, y) → (x, -y)(x, y) → (-x, y)(x, y) → (y, x)(x, y) → (-y, -x)Using these rules, a point is reflected, so it's not possible for an object to be reflected without changing position.
Hence, an object can't be reflected over a line without changing its position.
For more references on Reflection, click;
https://brainly.com/question/15487308
#SPJ2
Estimate and then solve 8,784 ÷ 61 = ___.
Answer:
8784/61
144#
Mark as a brainlist
Answer:
144
Step-by-step explanation:
i did it
i need help with this question please
Answer:
AC = 24
Step-by-step explanation:
DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...
2·DE = AC
2(2x -14) = 3x -15
4x -28 = 3x -15 . . . . . eliminate parentheses
x = 13 . . . . . . . . . . . . . add 28-3x to both sides
AC = 3x -15 = 3(13) -15
AC = 24
_____
Additional comment
DE = 2(13) -14 = 12, half the length of AC.
Please give answer for this
Answer:
100 square cm
Step-by-step explanation:
Area of figure 1 = l *b = 10 *7 = 70 square cm
Area of figure 2 = 6* 5 = 30 square cm
Area of shape = 70 + 30 = 100 square cm
You go out to dinner with 2 friends. The bill was $35.60, and you
add 20% tip. All 3 of you share the total cost equally. How much
money did each person pay?
Answer:
$14.24
Step-by-step explanation:
BD bisects ABC. m ABC = (5x – 4) CBD = (3/2x+21) what's kind if angle is ABC
Answer:6 this is the answer
if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?
Please help mee …………..
Answer: i think its A
Step-by-step explanation:
Let's say that a is 8, b is 17, and c is x,
Maximum:
a + b > c
8 + 17 >c
c < 25
Minimum:
b + c > a
17 + c > 8
c > -9
(As it cannot be negative, we will call this 9.)
So, our answer is D as c, x, must be less than 25 and greater than 9.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLEASE HELP Me!!!!!!!!!!
Answer:84
Step-by-step explanation:
hope this helps :))
