Answer:
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
what is the slope of the line shown below?
Answer:3
Step-by-step explanation:
y=3x
A wave has a wavelength of 20 meters and a speed of 80 meters/second. What is the hertz of the wave ?
Answer:
4 Hz
Step-by-step explanation:
Formula: frequency = velocity/wavelength
f = 80/20
f = 4
Using sigma notation write the geographic series: 6+12+24+48+96
Answer:
[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]
Step-by-step explanation:
6 + 12 + 24 + 48 + 96 =
= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16
= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4
= 6 * 2^(n - 1)
[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]
can someone tell me how to do this
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
3. This table shows a linear relationship between the amount of water in a tank and
time.
time (minutes) water (gallons)
0 T| 30 G
5 T| 20 G
10T| 10 G
Which of these statements is true?
OD
A.The water in the tank is increasing at a rate of 2 gallons per minute.
B.The water in the tank is increasing at a rate of 10 gallons per minute.
C.The water in the tank is decreasing at a rate of 2 gallons per minute.
D.The water in the tank is decreasing at a rate of 10 gallons per minute.
OL
Answer:
c because 10gallons per min is to much
Step-by-step explanation:
The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given table shows a linear relationship between the amount of water in a tank and time.
From the table we have (0, 30), (5, 20) and (10, 10).
Now, slope m=(20-30)/(5-0)
m= -2
Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get
30=-10(0)+c
c=30
Now equation is y=-2x+30
Here, the water in the tank is decreasing at a rate of 2 gallons per minute.
Therefore, option C is the correct answer.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ2
help me idk how do do this ;-;
Answer:
idk either
Step-by-step explanation:
Mrs. Dominguez asked her students to plot the number of books they read over the summer.
Using the dot plot, how many students read two books?
1
2
3
6
Answer:
6
Step-by-step explanation:
Answer:
6 students read 2 books
3+ 3 =
7+ 8 =
25 X 2 =
Answer:
6, 15, 50
Step-by-step explanation:
common sense.
3 + 3 =6
7 + 8= 15
25× 2=50
Hope it will be helpful for you.
If 400 reduced by two times my present age is 296, how old am I now?
Answer:
52 years.
Step-by-step explanation:
Represent my current age by c. Then 400 - 2c = 296, or
104 = 2c
Then c must be 104/2, or 52 years.
Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-9x=36
Answer:
x = 12 or x = -3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 9 x = 36
Subtract 36 from both sides:
x^2 - 9 x - 36 = 0
x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:
x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2
sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:
x = (9 + 15)/2 or x = (9 - 15)/2
(9 + 15)/2 = 24/2 = 12:
x = 12 or x = (9 - 15)/2
(9 - 15)/2 = -6/2 = -3:
Answer: x = 12 or x = -3
Find the volume of the cylinder. Use 3.14 for . Round your answer to the nearest tenth
8in
10in
a.502.4 in3.
b.125.6 in3.
c.2009.6 in3.
d.251.2 in3.
Answer:
the answer would be A
Step-by-step explanation:
Answer:
answer is a
Step-by-step explanation:
I just answer it on edge
Help please!!!!
What is answer? Between which two consecutive whole numbers is the square root of 200.?
Answer:17.32
Step-by-step explanation:
A coin weighs about 14 to the negative second pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.
Answer:
i think its about 5 pounds idk please tell me if im wrong..
Step-by-step explanation:
The answer is: 250/49 because 14^-2 is equal to 1/196 and if you multiply that by 1000 it equals 250/49 or 5.1
AB =
Round your answer to the nearest hundredth.
B
5
2
40
Answer:
AB = 6.53
Step-by-step explanation:
cos theta = adjacent/ hypotenuse
cos 40 = 5/ AB
AB cos 40 = 5
AB = 5/ cos 40
AB = 6.527036447
Round to the nearest hundredth
AB = 6.53
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996
hey can anyone pls help me out in dis i will give 30 points!!!!!
Answer:
First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.
Second box horizontally = the method I would use is using the slope formula
Second row of boxes = I would graph it using the computer.
what’s the answer for this question
Answer:
84 Square Inches.
Area = Side length x Side length
Look at the attached picture
Hope it will help you
How do u find the unknown angle measure in a triangle
Answer:
Use the sum of angle measures rule.
Step-by-step explanation:
If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.
You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.
Brainilest Is Appreciated.
In this equation what is the
Answer:
multiplication i think? correct me if im wrong:)
Step-by-step explanation:
bye.
The answer is [ C. Multiply ]
The inverse operation of division is multiplication and vice versa.
The inverse operation of subtraction is addition and vice versa.
Solve for x.
x/6.8 = 5
~Multiply 6.8 to both sides
x/6.8 * 6.8 = 5 * 6.8
~Simplify
x = 34
Best of Luck!
A cone-shaped vase has height 29 cm and radius 7 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 2 cm. At most how many packages of sand can the artist use without making the vase overflow? Use 3.14 for pi.
The artist can use at most
nothing packages without making the vase overflow.
Answer:
52
Step-by-step explanation:
Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!
Let's manipulate the expression a little bit and see what we come up with: we have
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]
We can simplify the fraction as
[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]
Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as
[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]
So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).
In other words, we arrived to the desired conclusion:
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]
Can u guys help pls?
Answer:
[tex](2 {n}^{2} ) ^{4} \\ 2 \times 2 \times 2 \times 2 \times {n}^{2 \times 4} \\ {2}^{4} \times {n}^{8} \\ = 16 {n}^{8} [/tex]
Answer B is correctConsider the quadratic function f(x)= 2(x + 4)² − 6. What is the vertex of the parabola? *
Answer:
vertex is (-4,-6)
Step-by-step explanation:
put x+4=0
x=-4
when x=-4
f(x)=-6
Answer:
(-4,-6)
Step-by-step explanation:
A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 22 tires right now.
estimate the total number of tires he needs to buy.
he needs to buy a total of 81 tires to finish the job
Answer:
94 tires
Step-by-step explanation:
He would be able to change 5 cars, but would need to buy 94 more tires.
I divided 22 by 5 and got 5.5. Then, I subtracted 28 minus 5, and got 23 times that by 4 and got 92 but you need to add the extra 2 tires.
How much is 27 out of 30 as a percent
-4x = -1/2(10x + 18)
Answer:
x = -9
Step-by-step explanation:
-4x = -1/2(10x + 18)
Distribute
-4x= - 5x -9
Add 5x to each side
-4x+5x = -5x+5x -9
x = -9
what is a=1/4 b if b is the subject?
Answer:
b = 4a
Step-by-step explanation:
Given
a = [tex]\frac{1}{4}[/tex] b
Multiply both sides by 4 to clear the fraction
4a = b
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!
HELPPP I NEED IT I DONT KNOW WHAT TO DO
Answer:
3/2
Step-by-step explanation:
Its because its saying the largest box to the smallest.
since the largest box has a side of 3 it should be on top and the smallest is 2, should be on the bottom.
Ignore all negetive fraction because they are useless.
Write an Algebraic Expression for Problems 1 - 6.
1. Five less than eight times a number
2. Thirteen more than a number
3. A number divided by seven
4. John went to Cinemark. The movie cost $12 and each drink cost $3.50. How much did he
spend after buying d number of drinks?
5. At the bowling alley, Stacey bowled x number of games and rented a pair of shoes. How
much did she spend at the bowling alley?
6. The volleyball team spent $675.95 at the mall. If each player spent the same amount, how
much did each player spend?
Answer:
I'm gonna rewrite each sentence in a way that lines up a little more with the Algebraic expression you would end up with. Just keep in mind that either way of saying it is correct.
1. "8 times some number (a variable) minus 5"
8x-5
2. "13 plus some number"
13+x
3. "Some number over 7"
x/7 or x÷7
4. "d number of drinks times 3.50 plus 12 equals how much John spent (we'll call it J)"
12+3.50d = J
5. "Stacey bowled x number of games times the cost of one game (call it B) plus the cost of the shoes (call it P) which equals how much they spent (call it S)"
xB+P = S
6. "675.95 dollars was spent at the mall by a number of players (call it P) to equal the total cost per player)"
$675.95÷p (players) = 675.95/p (dollars/player)
Essentially you're making expressions or equations out of numbers you know and putting in variables as place holders for numbers you don't know. The variables can be whatever letters you like, but you'll want to write what each variable represents down nearby. Otherwise the reader/your teacher won't know what's what.
