Answer:
She must take a sample of 56.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation estimate of 1.90
This means that [tex]\sigma = 1.9[/tex]
Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?
This is n for which M = 0.5. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 1.96*1.9[/tex]
[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]
[tex]n = 55.5[/tex]
Rounding up:
She must take a sample of 56.
A coffee pot holds 5 1/2 quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
22 cups
Step-by-step explanation:
1 quart is 4 cups. So therfore 5 1/2 * 4 =22
Hope this helped :)
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Amy's art class is 6 hours long. How long is her class in minutes?
Answer:
360 minutes.
Step-by-step explanation:
Answer:
360 minutes
Step-by-step explanation:
please help i need it!!!
Answer:
9
Step-by-step explanation:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
The line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?
Answer:
17 cm
Step-by-step explanation:
Rectangle perimeter: length*2 + width*2
Substitute width with "x".
Length is given as 15 cm
Perimeter is given as 64 cm
Plug in the values and solve for x.
64 = 2*15 + 2x
64 = 30+2x
2x = 34
x = 17
so width is 17 cm
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
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What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.
Answer:
2/5
Step-by-step explanation:
(-2 , 2) = (x1 , x2)
(3 , 4) = (x2 , y2)
slope = y2 - y1/x2 - x1
=4 - 2/3 - (-2)
=2/3+2
=2/5
Brainiest and 10 points
Answer:
the answer is 4.9
Answer:
12.25 ÷ 2.5= 4.9
the 3rd box
The step function f(x) is graphed. What is the value of f(0)? -2 -1 0 1
Answer:
0
Step-by-step explanation:
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTWhat is the value of x?
Answer:
i think its 29
Step-by-step explanation:
180-64=116
116/2=58
58/2=29
Answer:What is the value of x?
Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
2. Find(f/g)(x) when f(x) = 6x2 + 12x and g(x) = 2x2 + 8x + 8. Show your work.
Answer:
:)
Step-by-step explanation:
[tex](\frac{f}{g}) (x) = \frac{f(x)}{g(x)} = \frac{6x^2 + 12x}{2x^2 + 8x + 8}[/tex]
[tex]= \frac{6x(x + 2)}{2(x^2 + 4x + 4)}\\\\=\frac{3x(x+2)}{(x+2)(x+2)}\\\\=\frac{3x}{(x+2)}[/tex]
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
9514 1404 393
Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
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Find the value of given PSRQ is a parallelogram
Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.
This means angle r = 180-145 = 35 degrees.
36x -1 = 35
Add 1 to both sides:
36x = 36
Divide both sides by 36
X = 1
Answer:
Work attached below :D
help with this please. Thanks
9514 1404 393
Answer:
3.0
Step-by-step explanation:
The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values
x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3
x ≈ 3.0
area is measured in square centimeters of parallelogram below do not include unions in your answer
Answer:
21 cm²
21 square centimeters
Step-by-step explanation:
A = bh
A = 3 × 7
A = 21
Answer:
you swim 20inches and then you walk 50
Step-by-step explanation:
just because
A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.
Answer: T=1700
Step-by-step explanation:
anyone know the missing angle ?
Answer:48.013
Step-by-step explanation: just found it
। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay
Answer:
Factorizing 4x2 - 9y2, we get
(2x)2 - (3y)2, by using the identities of a2 - b2.
= (2x + 3y) (2x - 3y)
Step-by-step explanation:
A park is \frac{9}{10} 10 9 mile long and\frac{4}{5} 5 4 mile wide. What is the area of the park?
the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein
Bob has been alive for 21,900 days. How old is Bob?
Answer:
32 Years, 7 Months, 2 Days old
Step-by-step explanation:
If asphalt pavement costs $0.78 per square foot, determine, to
the nearest cent, the cost of paving the shaded circular road
with center o, an outside radius of 50 feet, and an inner
radius of 36 feet.
Answer:
2590.33
Step-by-step explanation:
...............
HELPPP MEEEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
it wouldnt let me type the answer-
if the coordinates are ( -1 , 5) and moved 9 units to the left what is the final answer?
Answer:
Directions: Write the new coordinates for each point or figure.
Sample Question:
Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?
Answer:
The coordinates of its image point after the translation are (-12, 0).
Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.
Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?
Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?
Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?
Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?
Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?
Answer:
(-10,5)
Step-by-step explanation:
Does anyone know how to solve this equation?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the formula ...
P = I/(rt)
and the values I = 20, r = 0.05, t = 5.
Put the numbers in place of the corresponding variables and do the arithmetic.
P = 20/(0.05·5) = 20/0.25 = 80
The amount $80 will generate $20 in interest over 5 years at 5% per year.
Can someone please help me with this?? I will like your comment!
Answer:
[tex]A_{\Delta ABP}=\sin \theta[/tex]
Step-by-step explanation:
Let the center of the circle be O.
Recall that the area of a triangle can be given by:
[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]
Where C is the angle between the two sides.
ΔABP is equal to the sum of ΔAPO and ΔBOP.
Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:
[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]
For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:
[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]
However, note that sin(π - θ) = sin(θ). Hence:
[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]
Hence, the area of ΔABP is:
[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]