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.
Suppose the following set of random numbers is being used to simulate the event of a basketball player making four free throws in a row
8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153
Because the basket ball player is making 4 free throws, your numbers are only going to be 4 digits long. These are the numbers rearranged.
Hope this helps :)
he manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____. a. significantly less than 3 b. significantly greater than 3.18 c. significantly greater than 3 d. not significantly greater than 3
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)
8c²-4c²+7cd + 4cd + 8d - 3d
= 4c² + 11cd + 5d
Independent Practice
Which of the following is a recursive formula for a geometric sequence that has first term 7 and common ratio −3negative 3?
A.
an=−3 · 7n−1a subscript n baseline equals negative 3 times left parenthesis 7 right parenthesis superscript n minus 1 baseline
B.
an=7 · (−3)n−1a subscript n baseline equals 7 times left parenthesis negative 3 right parenthesis superscript n minus 1 baseline
C.
a1=−3an=7 · an−1a subscript 1 baseline equals negative 3 line break a subscript n baseline equals 7 times a subscript n minus 1 baseline
D.
a1=7an=−3 · an−1a subscript 1 baseline equals 7 line break a subscript n baseline equals negative 3 times a subscript n minus 1 baseline
Answer:
D.
a1=7an=−3 · an−1a subscript 1 baseline equals 7 line break a subscript n baseline equals negative 3 times a subscript n minus 1 baseline
Step-by-step explanation:
Find the sum of all the integers from 1 to 100 that are not multiples of 7
Answer:
4343
Step-by-step explanation:
To find multiple of 7 from 1 to 100,
Take the quotient of 100/7=14
n=100 (number of terms)
n=100-14 (Without Multiple of 7=number of terms - multiple of 7)
=>n=86
Sum of 1 to 100 => Sn = n/2(a + an)
=> Sn = 86/2(1+100)
=> Sn = 43(101)
=> Sn = 4343
The graph of a function f(x) is shown below:
What is the domain of f(x)? (1 point)
integers from - 1< x <2
integers from -3 < y < 3
integers from -3 < y <3
integers from -1 < x < 2
Answer:
It's all integers x such that -1<=x<=2.
Step-by-step explanation:
The domain is the x values for which the relation exists.
Lets read from left to right.
First point I see from left exists at x=-1, next one at x=0, then x=1, and finally at x=2.
So it's all integers x such that -1<=x<=2.
*<= means less than or equal to
PLEASE I NEED HELP!!
Find the value of x
Answer:
y=4sqrt 3 X=8sqr 3
Step-by-step explanation:
4/y=y/12 y^2=48 y= sqrt 48= sqrt 4 * sqrt 3 * sqrt 4 = y = 4sqrt 3 then X
(4sqrt3)^2+144=x^2
48+144=192
sqrt 192
8sqrt3
4x2+16x+8=0 by completing the square
Answer:
Add
8
to both sides of the equation.
2
x
2
+
16
x
=
8
Divide each term by
2
and simplify.
Tap for more steps...
x
2
+
8
x
=
4
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
4
)
2
Add the term to each side of the equation.
x
2
+
8
x
+
(
4
)
2
=
4
+
(
4
)
2
Simplify the equation.
Tap for more steps...
x
2
+
8
x
+
16
=
20
Factor the perfect trinomial square into
(
x
+
4
)
2
.
(
x
+
4
)
2
=
20
Solve the equation for
x
.
Tap for more steps...
x
=
±
2
√
5
−
4
The result can be shown in multiple forms.
Exact Form:
x
=
±
2
√
5
−
4
Decimal Form:
x
=
0.47213595
…
,
−
8.47213595
…
Step-by-step explanation:
Surface area of a cone. Can someone please explain?
Answer:
H. 163.3
Step-by-step explanation:
The formula for the surface area of a cone is πrl(area of the side) + π[tex]r^{2}[/tex](area of the base), where l is the slant height and r is the radius. We know that the radius is 4 and the slant height is 9, so we plug it into the equation to get π(4)(9) + [tex]\pi r^{2}[/tex] = 36π+16π = 52π which rounds to 163.3.
i need the answer for this 2120 = 18x + 320
Answer:
100
Step-by-step explanation:
we need to swap sides so we take the 320 and put it in the other side but in negative form and that comes out to 1800 and then we divide that by 18
Answer:
x = 100
Step-by-step explanation:
2120 - 320 = 1800
1800 ÷ 18 = 100
x-3(x-2)=3(2x) Solution
Step-by-step explanation:
x^2-2x-3x+6=6x
x^2-5x+6=6x
x^2+6=6x+5x
x^2+6=13x
x^2-13x=6
x(x-13)=6
What is the distance from W to X?
Answer:
The answer is 35 miles.
Step-by-step explanation:
Let's assume that the distance from W to Y is x miles
Distance from W to X is 70 % of x =0.7*x
Given distance from X to Y is 15 miles.
x-15=0.7x
x-0.7x=15
0.3x=15
x=15/0.3
x=50miles
Thus the distance from W to Y is 50 miles and the distance from W to X is 50-15=35 miles
what is the answer for 14a³ - 22a we have to Factorise it
Answer: 2a (7a² - 11).
Answer:
Step-by-step explanation:
Both numbers are even. You can take out a 2.
14/2 = 7
22/2 = 11
There is a limitation of one a on the 22. But you can take out 1 a
a^3/a = a^2
Combing you get
Answer: 2a(7a^2 - 11)
This is the reverse distributive property.
Can you answer this math homework? Please!
Answer:
Put both of those equations into slope-intercept form (in order to be typed into the graphing calculator).
2x + 3y = 16.9
3y = -2x + 16.9
y = (-2/3)x + 16.9/3
5x = y + 7.4
5x - 7.4 = y
So in the graphing calculator,
Y1 = (-2/3)x + 16.9/3
Y2 = 5x - 7.4
Then find the point of intersection and the x value of that would be the solution.
You get the coordinate (2.3, 4.1). So x = 2.3, y = 4.1
Step-by-step explanation:
does anyone know this?
Answer:
The volume is approximately 50 m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The radius is 1/2 of the diameter r = 8/2 = 4
V = pi ( 4)^2 (1)
V = 16 pi
Letting pi be approximated by 3.14
V = 3.14 * 16
V = 50.24
The volume is approximately 50 m^3
Can someone help me with this math homework please!
Answer:
10
Step-by-step explanation:
f ( 1 ) = 18
First term ( a ) = 18
f ( n + 1 ) = f ( n ) - 2
When, n = 1
f ( 1 + 1 ) = f ( 1 ) - 2
f ( 2 ) = 18 - 2
f ( 2 ) = 16
f ( 2 ) - f ( 1 )
= 16 - 18
= - 2
Common difference ( d ) = - 2
f ( 5 )
= a + 4d
= 18 + 4 ( - 2 )
= 18 - 8
= 10
TRIANGLES please help!! :)
Answer:
A
Step-by-step explanation:
First, the list of congruence theorems are:
SSS
SAS
ASA
AAS
HL
SSA is not on the list, so we can cross that out
Next, ASA implies that two angles are congruent, but we only know that one pair of angles (the right angles) are congruent, so we can cross that out
After that, the angle is not connecting the congruent sides, so D is not an option
Finally, we know that the longest sides (AD / AC) are congruent to each other, one other pair of legs/sides are congruent, and the triangles are both right triangles. Therefore, we can apply HL here
5894 divided by 14 step by step
(Please help. I just wanna know if I’m doing this right)
Answer:
421
Step-by-step explanation:
5894 divided by 14 in decimal = 421 • 5894 divided by 14 in fraction = 5894/14• 5894 divided by 14 in percentage= 42100%
YOUR WELCOME :)))
PLEASE PLEASEEEEEEEEE PLEASEEEE ANSWERRRRR ILL LOVE UUUU!!!
Step-by-step explanation:
9 x 4=36 is the answer
hope this helps you
have a nice day:)
Express (13/15 - 7/10) as a percentage.
Which of the following statements does not prove that ABCD is a parallelogram.
Given: A(-4, 7), B(3,0), C(2,-5) and D(-5, 2).
Answer:
answer A
Step-by-step explanation:
A=(-4,7)
C=(2,-5)
midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))
B=(3,0)
D=(-5,2)
midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)
Diagonals have the same middle, the quadrilater is a parallogram.
The graph of $y=ax^2+bx+c$ passes through points $(0,5)$, $(1,10)$, and $(2,19)$. Find $a+b+c$.
Answer:
[tex]a+b+c=10[/tex]
Step-by-step explanation:
We are given that the graph of the equation:
[tex]y=ax^2+bx+c[/tex]
Passes through the three points (0, 5), (1, 10), and (2, 19).
And we want to find the value of (a + b + c).
First, since the graph passes through (0, 5), its y-intercept or c is 5. Hence:
[tex]y=ax^2+bx+5[/tex]
Next, since the graph passes through (1, 10), when x = 1, y = 10. Substitute:
[tex](10)=a(1)^2+b(1)+5[/tex]
Simplify:
[tex]5=a+b[/tex]
The point (2, 19) tells us that when x = 2, y = 19. Substitute:
[tex](19)=a(2)^2+b(2)+5[/tex]
Simplify:
[tex]14=4a+2b[/tex]
This yields a system of equations:
[tex]\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}[/tex]
Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:
[tex]-10=-2a-2b[/tex]
Add the two equations together:
[tex](-10)+(14)=(-2a+4a)+(-2b+2b)[/tex]
Combine like terms:
[tex]4 = 2a[/tex]
Hence:
[tex]a=2[/tex]
Using the first equation:
[tex]5=(2)+b\Rightarrow b=3[/tex]
Therefore, our equation is:
[tex]y=2x^2+3x+5[/tex]
Thus, the value of (a + b + c) will be:
[tex]a+b+c = (2) + (3) + (5) = 10[/tex]
πr is the formula for the ________ of a circle.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
πr is the formula for the __of a circle.
half of the circumference more information:-[tex]\sf{\pi r^{2}=Area }[/tex] [tex]\sf{2\pi r=circumference }[/tex][tex]\sf{2r=diameter }[/tex]Find the angles of the triangles if they are proportional to the following: 3,4,5
WILL GIVE BRAINLIEST IF UR ANSWER IS RIGHT
Let the proportion be 3x, 4x and 5x .
We know that sum of all angles of a triangle measures 180°.
So, keeping the values equals to 180°.
⇒ 3x + 4x + 5x = 180°
⇒ 12x = 180°
⇒ x = 180°/12
⇒ x = 15°
Now, finding the each angle measure.
⇒ 3x = 3 × 15 = 45°
⇒ 4x = 4 × 15 = 60°
⇒ 5x = 5 × 15 = 75°
Hence, the measure of each angle is 45°, 60° and 75° respectively.
❒ Required Solution:
It is given that the three angles of the triangle are proportional to 3,4,5. And we are here to find the three angles with the help of the angle sum property (Sum of the angles of a triangle = 180°). So, using this property we can find all the angles.So, Let's assume the angles as 3x, 4x and 5x.
❍ According to the question :
[tex]\\ \tt \implies \: 3 x+ 4x + 5x = 180{}^{ \circ} \\[/tex]
[tex]\\ \tt \implies \: 12 x = 180{}^{ \circ} \\[/tex]
[tex]\\ \tt \implies \: x = \frac{180{}^{ \circ} }{12} \\ [/tex]
[tex]\\ \implies \tt \: x = 15{}^{ \circ} [/tex]
Hence,
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \circ \: \: \: \: \tt \:1st \: \: \: angle \: \: \: \: \: = 3x=3 \times 15=45{}^{\circ} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \circ \: \tt \:2nd \: \: \: angle \: \: \: \: \: = 4x=4\times 15=60{}^{\circ} \: \: \: \: \: \\ \\ \circ \: \: \: \: \tt \:3rd \: \: \: angle \: \: \: \: \: =5 x=5\times 15=75 {}^{\circ} \: \: \\ \\[/tex]
❒ V E R I F I C A T I O N :
Sum of the angles of the triangle = 180°
[tex]\\ \tt \implies \: 3 x + 4x + 5x = 180{}^{ \circ} [/tex]
[tex]\\ \tt \implies \: 45 {}^{ \circ} + 60{}^{ \circ} + 75{}^{ \circ}= 180{}^{ \circ} [/tex]
[tex]\\ \tt \implies \: 180{}^{ \circ} = 180{}^{ \circ} [/tex]
[tex]\\ {\quad { \quad{ \quad{ \textbf{ \textsf{L.H.S = R.H.S}}}}}}[/tex]
what is the value of x?
Explanation:
The adjacent angle to the right of the (6x+1) angle is 180-(6x+1). Simply subtract it from 180 to get its supplementary counterpart.
The three inner angles of any triangle must add to 180, so,
(inner angle 1) + (inner angle 2) + (inner angle 3) = 180
[ 180-(6x+1) ] + (79) + (2x+10) = 180
180 - 6x - 1 + 79 + 2x + 10 = 180
(-6x+2x) + (180-1+79+10) = 180
-4x+268 = 180
-4x = 180 - 268
-4x = -88
x = -88/(-4)
x = 22
Answer:
x = 22
Step-by-step explanation:
2x + 10 + 79 = 6x + 1
Think alternate interior angles
2x + 10 + 79 makes up one of the alternate interior angles
6x + 1 is the other.
Combine like terms.
Subtract 2x both sides.
Subtract 1 from both sides.
Divide by 4 both sides.
Because of a manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 12-pack. Suppose that two cans are randomly selected from the 12-pack. (a) Determine the probability that both contain diet soda. (b) Determine the probability that both contain regular soda. Would this be unusual
Answer:
1 /22
6/11
Step-by-step explanation:
Total number of soda = 12
Number of diet soda in pack = 3
Number of regular soda = 12 - 3 = 9
Suppose selection is done without replacement ;
Recall : probability = required outcome / Total possible outcomes
P(selecting diet soda on 1st pick) = number of diet soda / total Number of soda in pack = 3 / 12
Diet soda left = 3 - 1 = 2
Total sodas left in pack = 12 - 1 = 11
P(selecting diet soda on 2nd pick) = 2 /11
Probability(diet soda on both picks) =
3/12 * 2/11 = 6 / 132 = 1 / 22
B.)
P(selecting regular soda on 1st pick) = number of regular / total Number of soda in pack = 9 / 12
Diet soda left = 9 - 1 = 8
Total sodas left in pack = 12 - 1 = 11
P(selecting regular soda on 2nd pick) = 8 /11
Probability(regular soda on both picks) =
9/12 * 8/11 = 72 / 132 = 12 / 22 = 6/11
Graph the inverse of the relation shown. Include at least 5 points. (Picture attached)
Answer:
Step-by-step explanation:
I'm not sure if I am too late to answer this but the trick to this is to reflect the function over the line y = x.
Basically, if you have the point (-2, 3)
you turn in into (2, -3) and you'll be good. (switch the two coordinates and take the negative for both.)
Bruce drove 25 km and his car used 4 L of gas. How many km can Bruce drive with 30 L of gas? Round your answer to the nearest km.
Answer:
188km
Hi there!!
I hope this answer helps.
Step-by-step explanation:
You can solve this with simple cross multiplication. (proportion)
Step-by-step explanation:
A 90 ° angle is divided into 2 angles.
Find the size of the angles.
5x+10 and 6x-41
Answer:
So required ans is 5*11+10=65 6x-41=25
Step-by-step explanation:
You can do as,
5x+10+6x-41=90
11x-31=90
11x=31+90
11x=121
x=121/11
x=11
tan(3x/7 - π/5)= -√3/3
Answer:
x is 7·π/30
Step-by-step explanation:
The given equation is presented as follows;
tan(3·x/7 - π/5) = (-√3)/3
We have that arctan (√3)/3 = π/6, and tangent of an angle is negative in the second quadrant, we get;
arctan (-√3)/3 = -π/6 = 5·π/6
∴ tan(-π/6) = -√3/3 = tan(3·x/7 - π/5)
-π/6 = 3·x/7 - π/5
x = (-π/6 + π/5) × 7/3 = (6·π - 5·π)/30 × 7/3 = π/30 × 7/3 = 7·π/30
x = 7·π/30
