Answer:
The margin of error for a 98% confidence level is of 0.06 years.
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{1-0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.01 = 0.99[/tex], so [tex]z = 2.327[/tex]
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.
In this question:
[tex]\sigma = 1.68, n = 4400[/tex]
So
[tex]M = 2.327*\frac{1.68}{\sqrt{4400}}[/tex]
[tex]M = 0.06[/tex]
The margin of error for a 98% confidence level is of 0.06 years.
simplify 5x+5(2x+2)+7
Answer:
12x+14
Step-by-step explanation:
5x+5(2x+2)+7
5x+7x+7+7
12x+7+7
12x+14
Denise and Jacqueline are training for a swimming and running race.
• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant
pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.
She runs at a constant pace of 8 minutes per mile. Her goal is to train for at
least 60 minutes. *
Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline
runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your
work. Respond in the space provided.
Answer:
Jacqueline runs at 6.25 minutes per mile
Step-by-step explanation:
Here we have that the total training time for Jacqueline = 54 minutes
The time for which Jacqueline swims = 30 minutes
Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes
Therefore the equation for Jacqueline's speed = Distance/Time we have
Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute
Therefore Jacqueline's pace = 0.16 miles/minute
The equation for Jacqueline's pace in miles/minute is presented as follows
Jacqueline's pace in miles/minute = Time of running/Distance
Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.
A flagpole casts a shadow that is 30 feet long A sign Post near the flagpole is 4 feet tall and cast a shadow that is 6 feet long how tall is the flagpole
Answer:
20 ft
Step-by-step explanation:
Given;
Length of flagpole shadow = 30 ft
Sign post height = 4 ft
Length of sign post shadow = 6 ft
Since the two objects are close to each other (the same location)
The height and shadow length of the two objects follows the same ratio, just like similar triangles;
Using the Ratio or similar triangles Formula;
height of flagpole/flagpole shadow length = height of sign post/ sign post shadow length
Substituting the values;
h/30 = 4/6
h = 4/6 × 30 = 20 ft
Flagpole height = 20 ft
5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST
Answer:
5 x 10 to the 6th power is 5,000,000
5 x 10 to the 4th power is 50,000
5,000,000 / 50,000 = 100
it is 100 times larger
Step-by-step explanation:
What is the volume, in cubic centimeters, of a
cylinder that has a height of 15 cm and a
diameter of 12 cm?
Answer:
3cm
Step-by-step explanation:
Answer:
The answer is 540π cm³ or 1700 cm³.
Step-by-step explanation:
Given that the volume og cylinder is V = π×r²×h where r represents radius and h is height. The diameter is 12 cm so the radius is 6 cm. Then you have to substitute it into the formula :
V = π × r² × h
Let r = 6 cm,
Let h = 15 cm,
V = π × 6² × 15
= π × 36 × 15
= 540π cm³
= 1700 cm³ (3s.f)
What is the slope of a trend line that passes through the points (5, 80) and (7 65)?
15
0
о
O
o
Answer:
15/2 = 7.5
Step-by-step explanation:
The slope is found by
m = (y2-y1)/(x2-x1)
= (65-80)/(7-5)
= -15/-2
= 7.5
Answer:
-15/2
Step-by-step explanation:
Factor X^2 + 14x + 49 =
Answer:
Step-by-step explanation:
X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2
Answer:
The simplest form should be (x + 7)^2 (squared)
Step-by-step explanation:
This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)
Find the exact value of T Image below
T= (tan(2z)+1)(2 cos(z)-1)/ y^ 2 -x^ 2 , where x = 9 , y = 41 and z = 30 degrees
please explain
Answer:
a) 1/800 or 0.00125
b) i) 0.0013
ii) 0.001
c) 60%
Step-by-step explanation:
T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)
T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)
T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600
T = (3-1)/1600
T = 2/1600
T = 1/800
T = 0.00125
Error: 0.002 - 0.00125
0.00075
%error
0.00075/0.00125 × 100
60%
log3(5x+1)=4 A.) x = 5 B.) x = 16 C.) x = 4 D.) x = 3
Answer:
B) x=16
Step-by-step explanation:
The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent
We also know that [tex]base^{exponent}[/tex] = argument
so therefore the new equation is [tex]3^{4}[/tex] = 5x+1
3 to the fourth power is 81
so 81=5x+1
then solve algebraically
(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11
Answer:
4x^2−4x+7
Step-by-step explanation:
Let's simplify step-by-step.
4x^2−10x+9+6x−2
=4x^2+−10x+9+6x+−2
Combine Like Terms:
=4x^2+−10x+9+6x+−2
=(4x^2)+(−10x+6x)+(9+−2)
=4x^2+−4x+7
Answer:
=4x^2−4x+7
Answer:
A
Step-by-step explanation:
The parks department is installing a
fence along a scenic overlook. The area
to be lenced has 3 sides measuring 4V5
feet. 3 v 5 leet, and 5V5 feet. Find the
total amount of fencing that needs to be
installed.
Answer:
60 square feet.
Step-by-step explanation:
The area to be fenced has two rectangles and one square. We add the areas of the rectangles to that of the square to obtain the total amount of fencing required.
Area of 4 × 5 feet rectangle =(4 × 5) = 20 square feet
Area of 3 × 5 feet rectangle =(3 × 5) = 15 square feet
Area of 5 × 5 feet square =(5)² = 25 square feet
So the total amount of fencing that need to be installed is 20 + 15 + 25 square feet = 60 square feet.
Answer:
Step-by-step explanation:
To rent a canoe costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Which point is NOT included in the graph of this step function?
A. (2.5, 39)
B. (3.2, 51)
C. (3.0, 39)
D. (4.5, 51)
Answer:
A
Step-by-step explanation:
(2.5,39)
Answer:
(2.5, 39)
Person above me is correct. :)
plzhelpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
D
Step-by-step explanation:
[tex]8x^3+12x=\\4(2x^3+3x)=\\4x(2x^2+3)[/tex]
Therefore, the correct answer is D. Hope this helps!
If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?
Answer:
The shape of a cone
Step-by-step explanation:
If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).
the leg we choose to rotate around will be the height of the cone.
The other leg will be the radius of the cone's base.
And the hypotenusa of the right triangle will be the slant height of the cone.
yolanda lost 55 dollars from her pocket. write a signed number to represent this change
what is (4x+1)(4x+1)
Answer:
(4x+1)^2
Step-by-step explanation:
Anything times itself is itself squared
Answer:
8x+2
Step-by-step explanation:
(4x+1) (4x+1)
= 8x + 2
A triangle has side lengths 4.47 cm, 4 cm, and 4.47 cm. The angles measures are 64°, 64°, and 52°. What type of triangle is this triangle? Acute isosceles obtuse scalene acute scalene obtuse isosceles
Answer:
The type of triangle is this triangle is the acute isosceles triangle
Step-by-step explanation:
They are all less than 90 degrees and two of the sides are the same and two of the angles are the same
Answer:
The type of triangle is this triangle is the acute isosceles triangle
Step-by-step explanation:
bro get smart stop cheating
If x < 0 and y > 0, where is the point located
Answer:
rwrrwrwrr
Step-by-step explanation:
wrrwrrw
What table represent a linear function
Answer: D
Step-by-step explanation:
every time x increases by 1 y increases by 5
hope this helps :3
Traveling 15 miles in 20 minutes, how many miles per hour must you be going?
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation
Juan has just completed a 15 kilometer race in 20 minutes. What was his average speed in kilometers per hour?
Solution
First, 15 kilometers is a distance, so
d = 15
Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute. We need to convert 20 minutes to hours. Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took
t = 20 minutes / 60 minutes per hour = 1/3 hours
Now we can use the d=rt equation:
15 = (r)(1/3)
If we multiply both sides
(3)(5) = (r)(1/3)(3) or r = 45
Juan's average speed was 45 kilometers per hour.
Find the area of a circle with a diameter of 56 millimeters.
Answer: 784π mm²
Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle which is shown below.
Area = πr²
Notice that here, we're given the diameter instead of the radius.
Remember that the radius is equal to half of the diameter. So the radius of this circle will be equal to half 56 millimeters or 28 millimeters.
So plugging into the formula, we have (π)(28 mm)².
A common mistake is to plug 56 millimeters into the formula but remember that we must plug in the radius and not the diameter.
Multiplying, (28 mm)² is equal to (28 mm)(28 mm) or 784 mm².
So we have 784π mm².
So the area of the circle is 784π mm².
Which ordered pair needs to be removed in order for the
mapping to represent a function?
(-3,-4)
(-2, -1)
(1, -3)
(3.7)
Answer:
1, -3
Step-by-step explanation:
I'm pretty sure it's that one because it doesn't fit with the others.
Shape of distribution
Answer:
where is the picture so i can help you
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Multiply the input by 666 to get the output.
Which input and output table works for the rule?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Input Output
000 666
(Choice B)
B
Input Output
111 777
(Choice C)
C
Input Output
222 121212
Answer:
None of input and output table work for the rule.
Step-by-step explanation:
Start with the numbers given at A, B,C.
According to the rule you need to multiply by 666 to get the output.
A 000 * 666 = 0 (=NOT the output)
B 111 * 666 = 73926 (=NOT the output)
C 222 * 666 = 147852 (=NOT the output)
None of input and output table work for the rule.
Answer:
c
Step-by-step explanation:
khan academy
Un grupo de amigos toman un refresco cada uno y deben pagar 9 € por el total de las consumiciones. Como hay dos que solo pueden poner 1 €, los demás deben aumentar su aportación en 0,25 € cada uno. ¿Cuántos amigos son?
Answer:
6 friends (4 pay € 1.75 and 2 pay € 1)
Step-by-step explanation:
We have to:
x = friends
y = payment
x * y = 9
y = 9 / x
It follows from the problem:
(x-2) * (y + 0.25) = 9 - 2
(x-2) * (9 / x + 0.25) = 7
x * 9 / x + 0.25 * x - 2 * 9 / x - 2 * 0.25 = 7
9 + 0.25 * x - 18 / x - 0.5 = 7
multiply by 100
100 * 0.25 * x - 100 * 18 / x + 100 * (9 - 0.5 - 7) = 0
25 * x - 1800 / x + 150 = 0
multiply by x
25 * x ^ 2 + 150 * x - 1800 = 0
we factor:
(x - 6) * (x + 12) = 0
x = 6
x = -12
The positive value is taken: x = 6
Each one had to pay = 9/6 = € 1.5
But as two pay € 1, 4 will pay € 0.25 more: 1.5 +0.25 = € 1.75
Thus :
(4 * 1.75) +2 (1) = € 9
Therefore, they are 6 friends (4 pay € 1.75 and 2 pay € 1)
What is the circumference of the circle? Use 3.14 for .
r = 6.4 cm
© 20.096 cm
040.192 cm
0 200.96 cm
401.92 cm
Answer:
40.192 centimeters
Step-by-step explanation:
The circumference of a circle can be found using:
c= pi* diameter
First, we must find the diameter. The diameter of a circle is twice it’s radius.
d=2*radius
The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.
d=2*6.4
d=12.8
Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.
c=pi*diameter
c=pi*12.8
We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.
c=3.14*12.8
c=40.192
Use appropriate units: centimeters
c=40.192 centimeters
The circumference is 40.192 centimeters.
So the right answer is 40.192 cm
look at the attached picture
hope it will help you
Good luck on your assignment
Write an inequality for each sentence.
The roller coaster is at least 800 feet tall.
Answer:
That means that the roller coaster can be 800 feet or taller
which means greater than or equal to
r≥800
Step-by-step explanation:
Answer:
y is greater than or equal to 800 feet
Step-by-step explanation:
It says it is at least 800 feet, so it has to be higher than 800
What is the exact value
A pair of shoes that originally cost $79 are on sale for 35% off. Does the expression 0.65(.79) represent the sale price of the shoes (in dollars)? explain your reasoning
Answer:
0.65(79) represents the correct sales price of the shoes (in dollars).
Step-by-step explanation:
As per question, discount offered on cost price = 35% and
Cost Price = 79$
Calculating discount :
Discount on cost price = [tex]35\% \times 79[/tex]
[tex]\Rightarrow \dfrac{35}{100} \times 79[/tex]
Now, it is know that we have to subtract the discount from cost price to get Sale Price:
[tex]\text{Sale price = Cost price - Discount on cost price}[/tex][tex]\Rightarrow \text{Discounted price = } 79 - \dfrac{35}{100} \times 79\\\text{Taking 79 common}\\\Rightarrow 79(1-0.35)\\\Rightarrow .65(79)[/tex]
Hence 0.65(79) represents the correct sale price of the shoes in dollars.
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 feet. What are the areas of the room and rug?
Answer:
1. Area of rectangular rug is [tex]110 ft^{2}[/tex]
2. Area of triangular room is [tex]330ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as
[tex]Area=Length * Width[/tex]
substituting our given data we have
[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]
step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as
[tex]Area= \frac{1}{2} *base* height\\[/tex]
substituting our given data we have
[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]
