Answer:
a. Fred's margin of error is larger than Ted's.
Step-by-step explanation:
Margin of error of a confidence interval:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level the larger the value of z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
From this, we have that:
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a smaller margin of error.
In this question:
Same confidence level.
Fred's sample is smaller, so his margin of error will be larger.
The correct answer is given by option a.
For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
Fred and Ted are interested in the average height of NC State students.
They randomly sample students from NC State and construct confidence intervals from their data.
Fred sampled 121 students to construct his confidence interval.
Ted sampled 144 students to construct his confidence interval.
The margin of error of a confidence interval
[tex]\rm M =z \dfrac{\sigma }{\sqrt{n}}[/tex]
Where z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation level and n is a sample size.
By the formula, we have
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a small margin of error.
For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Segment JL has endpoints J(-3, -4) and L(7, 6). What are the coordinate of point K, so that point K is on line segment JL and JK = 3/5 JL. Explain.
Answer:
K(3,2).
Step-by-step explanation:
We want to find a point K(x,y).
JK = 3/5 JL.
This means that:
[tex]K - J = \frac{3(L - J)}{5}[/tex]
We use this to find both the x-coordinate and the y-coordinate of K.
x-coordinate:
x-coordinate of J: -3
x-coordinate of L: 7
[tex]K - J = \frac{3(L - J)}{5}[/tex]
[tex]x - (-3) = \frac{3(7 - (-3))}{5}[/tex]
[tex]x + 3 = 6[/tex]
[tex]x = 3[/tex]
y-coordinate:
y-coordinate of J: -4
y-coordinate of L: 6
[tex]K - J = \frac{3(L - J)}{5}[/tex]
[tex]y - (-4) = \frac{3(6 - (-4))}{5}[/tex]
[tex]y + 4 = 6[/tex]
[tex]y = 2[/tex]
The point is K(3,2).
The grade six pupils decided to have an income generating project. They make
pancakes and spent P100; P50 for 1k of flour, P15 for 2 eggs, P15 1/4sugar. P10 for
baking powder and P10 of margarine. If they made 50 pcs, how much they should sale
each if they add 20% profit?
AP 2.30
B. P 3.00
C. P 2.40
D. P 2.50
Answer:
c. P 2.40
Step-by-step explanation:
P 100 spent, 50 pieces made. Therefore P2 a piece. 20% of P2 is .40. Therefore total is 2 + .40 = P2.40
Find the value of x
Pls help
Answer:
x = 5
Step-by-step explanation:
the sum of the angles is 180
16x - 5 + 22x - 5 = 180
38x - 10 = 180
38x = 190
x = 5
Answer:
5
Step-by-step explanation:
As both angles situated in one straight line
➝There sum will be 180°
➝(16x-5)+(-5+22x)=180
➝16x-5-5+22x=180
➝16x+22x-5-5=180
➝38x-10=180
➝38x=180+10
➝38x=190
➝x=190/38
➝x=5
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
Find the length of side x in simplest radical form with a rational denominator
Answer is in the file below
tinyurl.com/wpazsebu
Andrew spends his off days volunteering at a dog kennel. There are 24 dogs at the
kennel. He knows that 5/8 of the dogs are male. How many male dogs are at the kennel?
Answer:
16
Step-by-step explanation:
Number of male dog in Kennel are 15 dogs
Given that;
Total number of dogs = 24 dogs
Ratio of male dog = 5/8
Find:
Number of male dog in Kennel
Computation:
According to the question;
Number of male dog in Kennel = Total number of dogs × Ratio of male dog
Number of male dog in Kennel = 24 × [5/8]
Number of male dog in Kennel = 3 × 5
Number of male dog in Kennel = 15 dogs
Learn more:
https://brainly.com/question/14150442?referrer=searchResults
A cylinder and a cone have the same height and radius. The height of each is 5 centimeters, and the radius is 2 centimeters. Calculate the volume of the cylinder and the cone (rounded to the nearest tenth). Use 3.14 as an approximation for n. PLS HELP 15 POINTS
Answer:
Step-by-step explanation:
volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³
volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³
The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³
What is the volume of the cylinder and the cone?
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
1/3 x 3.14 x 5 x 2 = 10.5 cm³
Volume of the cylinder = nr^2h
3.14 x 5 x 2 = 31.4 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
[tex]5 - 5 \times 2 + 11[/tex]
Answer:
6
Step-by-step explanation:
We use BODMAS/BIDMAS here.
First, we do 5 × 2, as multiplication comes before subtracting and adding.
5 × 2 = 10
Now we can just add and subtract.
5 - 10 = -5
-5 + 11 = 6
how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10 to help you
Answer:
[tex]52.53\ \text{meters}[/tex]
Step-by-step explanation:
[tex]1\ \text{meter}=100\ \text{centimeter}[/tex]
[tex]1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}[/tex]
In the question the quantity that is required to be converted to meters is 5253 centimeters.
[tex]5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}[/tex]
So, the required measurement in meters is [tex]52.53\ \text{meters}[/tex].
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
QRS ~ ____
a. similar, SAS, QLK
b.similar, AA, LQK
c. not similar
d. similar, SSS, LQK
Answer:
. similar, AAA QLK
Step-by-step explanation:
<K=<L base angle of isosceles triangle
<R=<S base angle of isosceles triangle
<KQL=<RQS vertically opposite angle
so
<K=<L=<R=<S
so
∆QRS~QLK by AAA axiom
for similar all the corresponding angle should be equalAlanna is painting a border on a wall. The border consists of kite-shaped figures as shown.
3 kites are connected at 1 point.
Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?
Answer:
its 864
Step-by-step explanation:
lil uzi vert is the best ;)
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!Answer:
c, 864
Step-by-step explanation:
on edgunuity i got it right
1. What is the solution to the equation 4(x+3)=24
x=5.25
x=3
x=6.75
x=6
Answer:
x = 3
Step-by-step explanation:
Your first step is to divide each side by 4. This would give you x + 3 = 6. Now, all you have to do is subtract 3 from the left side to move it to the right. This would give you the final answer of x = 3.
Answer:
x = 3
Step-by-step explanation:
4(x + 3) = 24
First we want to isolate the binomial x + 3 by dividing both sides by 4.
x + 3 = 6
Now, subtract 3 from both sides.
x = 3
This is your answer.
Check your answer by plugging x = 3 back into the equation.
4(x + 3) = 24
4(3 + 3) = 24
4(6) = 24
24 = 24
Your answer is correct.
Hope this helps!
20% of ___ is 10 pls help me ✌
Answer:
200
Step-by-step explanation:
i hope this is right if not sorry
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Select the correct product.
(x2 + 4x + 8)(2x - 1)
x2 + 8 x - 8
x2 + 6 x + 7
2 x3 - 7 x2 - 12 x - 8
2 x3 + 7 x2 + 12 x - 8
Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
Answer:Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
How to find the value of x
Step-by-step explanation:
To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck
Please help! Answer and explanation please!
Answer:
12
Step-by-step explanation:
Since we can infer that those lines are the same length...
5x-15 = 3x+9
2x -15 = 9
2x = 24
x = 12
Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?
Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste
Answer:
B
Step-by-step explanation:
i got it right
Please Help No fake answers
Answer:
5.09 or 5.10(if u round up)
Step-by-step explanation:
When you convert √24 it will be 5.099
The decimal point must lie between 5 and 0
Hope this helps:)
a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern
Answer:
first term of the pattern (T₁) : 10
Step-by-step explanation:
T₁ ; 1 ; -6 ; T₄ ; -14
1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)
-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)
T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11
-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2
T₁ = 10
.
* 6 cupcakes for $14
* 12 cupcakes for $30
* 24 cupcakes for $54
The unit price for the 6 cupcakes is
The unit price for the 12 cupcakes is
The unit price for the 24 cupcakes is
The lowest unit price is for
Answer:
≈$2.33$2.50$2.2524 cupcakes/$54Step-by-step explanation:
Answer:
$2.33
$2.50
$2.25
24 cupcakes/$54
Step-by-step explanation:
(3/4•8a)+(3/4•12)= 23.4, what does A mean???
Answer:
Well, a is supposed to be an unknown number. And that unknown number is supposed to multiply by 8. Now A is suppose to equal 8.4.
Susie can run 4 2/3 miles per hour. If she runs for 3/4 hours how far will she have run?
At a factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute.
1. Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Answer: 25 minutes
Step-by-step explanation:
120
If segment AC is a diameter of the circle what can you conclude about triangle ABC?
A)
It is right
B)
It is obtuse
It is scalene
D)
It is isosceles
Answer:
The triangle has an angle of 90º.
let: f(x)=x+1 and g(x)=x^2-2
find: f(x)•g(x)
Answer: x3+x2−2x−2
Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .
Brainliest or a thank you please! have a great day/night
Elroy enjoys roller skating and weight training. Let X represent the number of hours he spends roller skating weekly,
and let y represent the number of hours he spends weight training weekly. The mean of X is 5 hours, and the mean
of Y is 7 hours. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Answer:
[tex]\mathbf{\mu_S = 12 }[/tex]; [tex]\text{Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]
Step-by-step explanation:
Given that:
The mean [tex]\mu_X = 5[/tex]
The mean [tex]\mu_Y = 7[/tex]
Where;
[tex]S= X+ Y[/tex]
[tex]\mu_S = \mu _X + \mu_Y \\ \\ \mu_S = 5+7 \\ \\ \mu_S = 12[/tex]
Thus;
[tex]\mathbf{\mu_S = 12 }[/tex];[tex]\text{ Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]
Answer:
C ♡♡
Step-by-step explanation:
jus took the quiz !!!
Can someone pls help me with this
Which equation does this picture BEST represent?
A. 49 ÷ 7 = 7
B. 49 - 7 = 42
C. 7 - 7 = 0
D. 49 - 49 = 0
if cos 25°=K , determine cos50°
Answer:
cos 50⁰ = cos 2.25⁰ = 2cos²25⁰ - 1 = 2K² - 1