Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
PLEASE HELP WILL GIVE BRAINLIEST
5. Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Answer:
Step-by-step explanation:
Tod did not want the answer?
Mr. Smith collected 200 eggs from his chickens on Saturday. When he sorted the eggs by their sizes, he found out tha 60% of the eggs are extra-large. How many extra-large eggs did Mr. Smith collect from his chickens? need help ASAP pls
Answer: 120
Step-by-step explanation:
please please help i beg ill give brainlist
Answer:
[tex]a_{15}=-268,435,456[/tex]
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
[tex]a_n=a_1x^{n-1}[/tex]
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
[tex]a_n=(-1)(-4)^{n-1}[/tex]
Then, you can solve for the 15th term:
[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.
[tex]x(x^{2} +2x +4) -( x^{2} +2x + 4) . 2=0[/tex]
We have:
[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]
ok done. Thank to me :>
2x - y = 1
3x + y = 9
Answer:s
Step-by-step explanation:
Answer:
x=2 y=3
Step-by-step explanation:
Which expression is equivalent to [(2a-3b4)2(3a5b)-2]-1 ? Assume a =/ 0, b =/ 0
Answer: The Third option
Step-by-step explanation:
1/36a^4b^10
Hope this is right!
The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.
Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹
= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)
= (a⁶)/(3²2²a¹⁰b²b⁸)
= 1/36a⁴b¹⁰
Therefore, option C is the correct answer.
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What is the angle, in degrees, when the coordinate is [tex](-\sqrt{2} /2), \sqrt{2} /2)[/tex] ? Pls help thanks
Answer:
135°
Step-by-step explanation:
seg AB=seg OB
tan ∠AOB = 1
∠AOB = 45°
∠AOC = 135°
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7
Answer:
k = 7
Step-by-step explanation:
Vertical shift down by 7units, f(x) - 7
g(x) = (0.5)x - 7
g(x) = (0.5)x - k
Comparing both equations, k = 7
Answer:
k = 7
Step-by-step explanation:
it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.
Calculate the value of (225 ÷ 0.25) – 11.875
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
HELPP
There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.
Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.
the total surface area of a cube is 384cm3 the length of the edge of the cube is?
Solving for a
[tex]a = \sqrt{ \frac{A}{6} } \\ = \sqrt{ \frac{384}{6} } \\ = 8cm[/tex]ABCD is a rectangle AB =15 centimeters AC = 25 cm Find The length of BC
Answer:
the answer is explained below (tap on the photo to view it fully)
5. Find mTOS in the figure below.
Applying the definition of a linear pair, m∠TOS = 52°
Recall:
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
m∠TOU = 128°m∠SOV = (4x + 8)°m∠TOU + m∠TOS = 180° (linear pair)
Substitute128° + m∠TOS = 180°
Subtract 128° from both sides of the equationm∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
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Help please. Been stuck for a few mins now.
Answer:
p = -3v: (4, -1)f: (4, -4)d: y = 2Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
_____
Additional comment
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?
Answer:
Alyssa's Sister = 18, Alyssa = 30
Step-by-step explanation:
48 = 2x-6 + x
54 = 2x + x
54 = 3x
18 = x
2(18) - 6
36 - 6
30
48 = 2(18) - 6 + 18
48 = 36 - 6 + 18
48 = 30 + 18
48 = 48
Simplify:
-5x - 2(3x - 7) + 4(3x - 5) - (6x -9)
Answer:
7x+3
Step-by-step explanation:
-5x+6x+14+12x-20-6x+9
combine like terms
7x+3
Gloria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Gloria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
→[RevyBreeze]←
20 points.
The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B?
Answer:
B (1, 8 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )
Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is
[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )
- 3 + x = - 2 ( add 3 to both sides )
x = 1
[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Then point B = (1, 8 )
There are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.
How many books are in the school library?
Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.
Divide 2,676 by 3. 2676÷3= 892
So your answer is: 892 books.
Hope I helped. :)
The number of books in the library will be 892.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.
The number of books will be calculated as,
Number = 2676 / 3
Number = 892
Hence, the number of books will be 892.
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NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.
x = -2
3x + y = 8
Find the area of the shape shown below.
Answer:
28
Step-by-step explanation:
Andrew loses
31 pencils in
October
What is the
lose rate per
day?
Answer:
1
Step-by-step explanation:
there are 31 days in October so if he loses one each day he loses 31
In a snail race, the winning snail traveled 5.85 cm in 3/4 of a minute. How fast was the snail traveling per second?
Answer:
0.13 cm per second
Step-by-step explanation:
Lets convert the minutes to seconds:
3/4 minutes = 3/4(60) = 45 seconds
The snail traveled 5.85 cm in 45 seconds
To find out the speed per second, we set up a proportion:
[tex]\frac{5.85}{45} = \frac{x}{1}[/tex] where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time
Let's solve for x, or the distance in 1 second:
[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]
The snail travels 0.13 cm per second.
-Chetan K
Which of these four sets of side lengths will form a right triangle?
Anyone know this? please help and Thank you very much!!!
[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]
If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7. 5 feet feet feet 30 feet.
The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.
Given :
The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
The following steps can be used in order to determine the length of the hypotenuse:
Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.
Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.
Step 3 - So, the length of the hypotenuse is calculated as:
[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]
Step 4 - Simplify the above expression.
[tex]H =30\;{\rm ft}[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
brainly.com/question/21149612
Answer:
d
Step-by-step explanation:
X-2y=2 in slope intercept form
Answer:
I believe it's written y = 1/2x - 1
Hope this helps :)
estimate the area hurry.
Answer:
32.5 and 30
Step-by-step explanation:
I counted the unit squares one by one.
Hope this helped! :)
What is an expression for five less than y
Answer:
y - 5
Step-by-step explanation:
Answer:
y - 5
Step-by-step explanation:
To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.
Therefore, the expression is y - 5.
Solve the system of equations
{y= 15x+9
{y= 1/2x–20
What is the solution to the system?
[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]
