A cookie factory monitored the number of broken cookies per pack yesterday.
Answer:
Confidence Interval - 2.290 < S < 2.965
Step-by-step explanation:
Complete question
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Solution
Given
n=50
x=23.33
s=2.6
Alpha = 1-0.80 = 0.20
X^2(a/2,n-1) = X^2(0.10, 49) = 63.17
sqrt(63.17) = 7.948
X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69
sqrt(37.69) = 6.139
s*sqrt(n-1) = 18.2
[tex]s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }[/tex] [tex]\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }[/tex]
confidence interval:
(18.2/7.948) < S < (18.2/6.139)
2.290 < S < 2.965
The two lines represent the amount of water, over time in two tanks that are the same size. Which container is filling more slowly
Please help ASAP !!!
Answer:
C
Step-by-step explanation:
the domain is for which values of x is that function defined (is that a valid function).
the range is what values that function can produce based on all the different x-values as input.
so, checking option A
that means all x values are negative.
that means all values inside the square root are negative.
the resulting function values are a discussion class of numbers and not part of the interval of (0, infinity).
so, it cannot be A.
checking option B
the domain range includes the value 6 for x.
but that would make this function for x=6 an invalid expression of 1/0
so, it cannot be B.
checking option C
the value range for x (domain) is x>6 (and excluding x=6).
and the result range is all positive numbers including 0.
there is no violation of any function principle.
the answer is C.
checking option D
similar to C, but the result range is defined as all numbers, negative and positive.
but for the domain the function can never produce negative numbers.
so, it is not D.
Help i will give brainliest to the best answer.
Answer:
-2
Step-by-step explanation:
1. reduce the numbers by taking out the greatest common factor which is 9.
2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4
Answer:
-2
Step-by-step explanation:
[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]
changing division sign to multiplication and doing reciprocal
[tex]-\frac{8}{9}*\frac{9}{4}[/tex]
9 and 9 gets cancel so,
[tex]-\frac{8}{4}[/tex]
4 divides 8 exactly by 2 and keep minus sign as it is
-2
Need helppp pls!!!!
Answer:
130º
Step-by-step explanation:
it seems like this would make a circle which adds up to 360º so first add the two numbers (150+80=230) then subtract from the amount it should be (360-230=130)
Which expression is equal to 4?
Answer:
D
Step-by-step explanation:
When taking an esponent to an exponent multiply them
4 ^(1/3)^3 = 4^1 = 4
One-half (x + 6) = 18
Answer:
x = 30
Step-by-step explanation:
I'm going to assume the equation you needed help with was:
[tex]\frac{1}{2}(x+6) = 18[/tex]
If not, let me know and I'll redo it.
[tex]\frac{1}{2} x+3 = 18\\\frac{1}{2} x = 15\\x = 30[/tex]
Find all solutions to the equation in the interval [0, 2pie]. Enter the solutions in increasing order. cos 2x = sin x
Answer:
cos2x=sinx
<=> 1-2sin^{2}x =sinx
solve and we have x=3pie/2, x=pie/6,x= 5pie/6
Step-by-step explanation:
I have more q if you get this right will Pay 5 everything is in the picture also leave your contact info.
Answer:
bottom right and the middle one from the left
Answer:
c
Step-by-step explanation:
Point E is located at (-1,6) and point F is located at (3,9). What are the coordinates of point that partitions the directed line segment EF in a 3 : 2 ratio?
Answer:
(7/5, 39/5)
Step-by-step explanation:
you could use this formula:
(m₁x₂ + m₂x₁ / m₂+m₁ , m₂y₂ + m₂y₁ / m₂+m₁)
where m₁ = 3 (from the ratio)
m₂ = 2 (from the ratio)
x₁ = -1
x₂ = 3
y₁ = 6
y₂ = 9
= [3(3) + 2(-1) / (3+2)], [3(9) + 2(6) / (3+2)]
= (9-2) / 5, (27+12) / 5
= (7/5, 39/5)
SUPER IMPORTANT AND I NEED HELP 30 points if you answer
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3
Polygon Y's area is what fraction of Polygon X's area?
Answer:
1/9th
Step-by-Step Explanation:
The area is measured in units squared, then you have to square 1/3 which is 19th.
Answer:
1/9
Step-by-step explanation: i think so
Can you please help. Evaluate angles d and e, giving reasons for your answer.
Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
<d = 25 degree and <e = 130 degree
Step-by-step explanation:
Let <d, <e and <f be the respective angles
<f = 25 degree (Vertically opposite angles are equal)
side fe = side ed (given)
Therefore, <f = <d (angles opposite to equal sides are equal)
Therefore, <d = 25 degree
<d + <e + <f = 180 degrees (Angle sum property)
25 + 25 + <e = 180
50 + <e = 180
<e = 180 - 50
<e = 130 degree
Therefore, <d = 25 degree and <e = 130 degree
Hope u understood
Please mark as brainliest
Thank You
If sin theta = 8/17 and cot theta < 0, what is sec theta?
Answer:
[tex]-\frac{17}{15}[/tex]
Step-by-step explanation:
By definition, [tex]\cot \theta=\frac{1}{\tan \theta}[/tex] and [tex]\sec \theta=\frac{1}{\cos \theta}[/tex]. Since since [tex]\cot \theta[/tex] is negative, [tex]\tan \theta[/tex] must also be negative, and since [tex]\sin \theta[/tex] is positive, we must be in Quadrant II.
In a right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. The cosine of an angle in a right triangle is equal to its adjacent side divided by the hypotenuse. Therefore, we can draw a right triangle in Quadrant II, where the opposite side to angle theta is 8 and the hypotenuse of the triangle is 17.
To find the remaining leg, use to the Pythagorean Theorem, where [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the right triangle.
Solving, we get:
[tex]8^2+b^2=17^2,\\b^2=17^2-8^2,\\b^2=\sqrt{17^2-8^2}=\sqrt{225}=15[/tex]
Since all values of cosine theta are negative in Quadrant II, all values of secant theta must also be negative in Quadrant II.
Thus, we have:
[tex]\sec\theta=\frac{1}{\cos \theta}=-\frac{1}{\frac{15}{17}}=\boxed{-\frac{17}{15}}[/tex]
Write 51000201078 in words
Answer:
Fifty - one billion two hundred one thousand seventy eight
- Let me know if you have any questions regarding my answer :)
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
[tex]\boxed{51,000,201,078}[/tex]
⟹ Fifty one billion two hundred and one thousand seventy eight.
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Please help, find the area of the polygon.
Answer:
126cm²
Step-by-step explanation:
first divide the figure into two( rectangle and a triangle)
area of a rectangle=length x width
16cmx7xcm
112xcm²
area of a triangle=1/2base x height
1/2x7cmx(20-16)cm
1/2x7cmx(4)cm
14cm²
total area of the figure=area of rectangle+area of triangle
=112cm²+14cm²
=126cm²
hope this is helpful
3/2x-4=20
Solve for x
Answer:
x= 12
Step-by-step explana
2x = 20 + 4
2x= 24
x= 2 4/2
x= 12
Find the equation of the line that passes through the points (4,
11) and (-1,1). Write your answer in slope-intercept form. Bonus points for
writing it in the two other forms (make sure you label which form is which).
Step-by-step explanation:
the slope = (1-11)/(-1-4) = -10/(-5) = 2
the equation is : y -11 = 2(x-4)
=> y -11 = 2x -20
y = 2x -8 +11
y = 2x +3
other forms :
<=> 2x - y = -3
<=> 2x - y + 3 = 0
- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
Answer:
B
Step-by-step explanation:
- y = 7 , that is y = - 7
Is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of - 7
22/9 divided by 8, please hurry test is timed!
Answer:
0.30(5)
the 5 is repeating
Step-by-step explanation:
calculator
Which describes the
correlation shown in the scatterplot? help pls
Answer:
B
Step-by-step explanation:
There is a negative correlation. The direction of a line if we plot it generally through thi scatter plot would be going down, negative.
Answer:
Negative Correlation
Step-by-step explanation:
Because the graph shows that the y axis is on 4 and then goes down to 2
Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^3
2 is the base and 3 is the exponent
Prove algebraically that the straight line with equation x = 2y + 5 is
a tangent to the circle with equation x2 + y2 = 5
Answer:
[tex]{ \tt{line : x = 2y + 5}} \\ { \tt{circle : {x}^{2} + {y}^{2} = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2} + {y}^{2} = 5 }} \\ { \tt{4 {y}^{2} + 20y + 25 + {y}^{2} = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y = - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved[/tex]
Answer:
radius 5
centre -1,2
Step-by-step explanation:
If f(x)=-4^2-6x-1 and g(x)=-x^2-5x+3 find (f-g)(x)
Given:
The functions are:
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
To find:
The function [tex](f-g)(x)[/tex].
Solution:
We have,
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
We know that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)[/tex]
[tex](f-g)(x)=-4x^2-6x-1+x^2+5x-3[/tex]
Combining like terms, we get
[tex](f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)[/tex]
[tex](f-g)(x)=-3x^2+(-x)+(-4)[/tex]
[tex](f-g)(x)=-3x^2-x-4[/tex]
Therefore, the required function is [tex](f-g)(x)=-3x^2-x-4[/tex].
Can someone help giving branliest to first correct answer
For EASY BRAINLIEST!!! Please help.
Question: When 6 is added to four times a number, the result is 42. Find the number
Step-by-step explanation:
Let x be the number
6+4x=42
4x=36
x=9
!!!!!!!
Which one of the following is a non-profit financial intermediary?
Leasing company
Mutual fund
Credit union
Investment bank
Answer:
The answer is Credit union
Step-by-step explanation:
someone please help me!!!!!!!
Step-by-step explanation:
In the second step while opening the bracket, instead of 'a', there should be - 4a.
Answer:
From Step 2 every step is wrong
Step-by-step explanation:
Ste p 1 : 3a - 5b = 12 - 4(b + a)
Step 2 : 3a - 5b = 12 - 4b - 4a [ Last term instead - 4a she\he wrote + a ]
Step 3 : 7a - 5b = 12 - 4b
Step 4 : 7a = 12 + b
[tex]Step 5 : a = \frac{12 + b}{7}[/tex]
PLSSS HELPPP no linkss plsss im begging
Answer:
Step-by-step explanation:
A, B and C are corners of a parallelogram
A= (-2,3) B=(3,2) C=(5,-3)
What are the co-ordinates of D, the 4th corner?
Answer:
Step-by-step explanation:
in a parallelogram diagonals bisect each other.
so mid points are same.
Let coordinates of D be (x,y)
mid point of AC=midpoint Of BD
(-2+5)/2=(x+3)/2
x+3=-3
x=-3-3=-6
x=-6
(3-3)/2=(2+y)/2
y+2=0
y=-2
so D is (-6,-2)
PLEASE HELP MEE 1616,
What is the value of f in the equation 7f-1=6
Answer:
f = 1
Step-by-step explanation:
7f-1=6
Add 1 to each side
7f-1+1=6+1
7f = 7
Divide each side by 7
7f/7 = 7/7
f = 1