Answer:
We have to flip the coin 78 times.
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].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We suspect that the coin is fair.
This means that [tex]\pi = 0.5[/tex]
96.5% confidence level
So [tex]\alpha = 0.035[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.035}{2} = 0.9825[/tex], so [tex]Z = 2.108[/tex].
How many times would we have to flip the coin in order to obtain a 96.5% confidence interval of width of at most .12 for the probability of flipping a head?
n times, and n is found when M = 0.12. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.12 = 2.108\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.12\sqrt{n} = 2.108*0.5[/tex]
[tex]\sqrt{n} = \frac{2.108*0.5}{0.12}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.108*0.5}{0.12})^2[/tex]
[tex]n = 77.1[/tex]
Rounding up
We have to flip the coin 78 times.
Determine whether the figure is a parallelogram.
Answer:
The figure is a parralellogram
Step-by-step explanation:
it has 4 sides and one set is parallel
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96
Answer:
2/3x+8=y
Step-by-step explanation:
8x-12y=-96
8x+96=12y
8/12x+8=y
2/3x+8=y
The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.
What is equation?Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.
Given:
The equation, E = 8x – 12y = -96,
The standard intercept form of a line,
[tex]y = mx + c[/tex]
Here m is the slope,
For this form, arrange the equation,
– 12y = -8x - 96
(Do multiplication of -1/ 4 on both sides)
3y = 2x + 24
Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.
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15 PTS!!! HELP IMMEATLEY
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Answer:
Select a card from a set of cards with the letters A through D, then spin this once.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 470 - 50x
Step-by-step explanation:
Total distance minus the distance covered in n number of hours if the speed is 50 mph.
Y = 5x + 2
6y = 18x + 12
What is the value of X?
Step-by-step explanation:
x= 0, y = 2
have a great day
Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
same thing as last. nearest 100th
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
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Please mark Brainliest :D
How many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs
Answer:
1 pair
Step-by-step explanation:
The top and bottom sides can go forever without crossing
Answer:
1
Step-by-step explanation: because the top and bottom a pair
LOOK AT IMAGE PLEASE I MARK BRAINLIEST
Answer:
0.2 I think
Step-by-step explanation:
7x6=42
35÷42=0.2
Help please due in 45 minutes!!
Answer:
x=4, y=5
Step-by-step explanation:
Download photo math and take a picture of it
what is the domain of this exponential function , y=7^x
Answer: hope this helps
Step-by-step explanation:
Answer:
Hope this helped!!!
Step-by-step explanation:
Plz help well mark brainliest if you are correct!
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
What type of sequence is this? *
9, 14, 19, 24, 29, ..
Answer:
an arithmetic sequence
Step-by-step explanation:
I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)
A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Ernesto bought the ceramic vase for $56 including 12% tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.
∴ The discounted price is (50/100)×100 = $50.
Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.
∴ {(100 + 12)/100}×50.
= (112/100)×50.
= 56.
So he paid $56 including 12% tax.
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Step-by-step explanation:
Equation: (3x+7) + (10x+17) = 180
*These are consecutive interior angles and they add to 180 degrees
1.) Add like terms
13x + 24 = 180
2.) Subtract 24 from both sides
13x = 156
3.) Divide each side by 13
x = 12
*Substitute x in both expressions to get angle measures
Value of x: 12
3(12)+7 = 36+7 = 43
10(12)+17 = 120+17 = 137
*Check 43+137 = 180
Angle Measures: 1st angle: 43 degrees
2nd angle = 137 degrees
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<DEC and <IHJ
Step-by-step explanation:
Alternate exterior angles are angles on the other side of a transveral and on the exterior area.
Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2
Answer:
314 cm^2
Step-by-step explanation:
(=^w^=)
A= 2*pi*r*h
A=2*pi*5*10
A=314.16 cm^2
Step-by-step explanation:
2×5×10=
10×10= 100 cm²
=100 cm²
I’m stuck on this question??????????????
Answer:
You are? so am I
Step-by-step explanation:
Answer:
1. 49, 2. 245
Step-by-step explanation:
Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days
A television screen is 7 inches tall and 10 inches wide. What is its area?
Answer:
70 inches^2
Step-by-step explanation:
7x10=70
the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?
Answer:
The price per gallon of gas with a $7 car wash is $3.19
Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:
C(x) = $7 + $3.19*x
In the case that you do not pay for the car wash, the cost per gallon is $3.39
Then the cost for x gallons of gas in this case is:
K(x) = $3.39*x
When is it worth it to buy the car wash?
We need to sett the equations:
C(x) = K(x)
This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.
Then we need to solve:
$7 + $3.19*x = $3.39*x
$7 = ($3.39 - $3.19)*x = $0.20*x
$7/$0.20 = x = 35
Then for 35 gallons, is worth to buy the car wash.
In the case where the car wash costs $2, then the equation C(x) becomes:
C(x) = $2 + $3.19*x
Then if we solve the same equation:
C(x) =K(x)
$2 + $3.19*x = $3.39*x
$2 = ($3.39 - $3.19)*x
$2 = $0.20*x
$2/$0.20 = x
10 = x
Then for 10 galons is whort buy the car wash.
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
help ples me i hate ixl
Answer:
200
Step-by-step explanation:
Base of the prism is a square
So
[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]
[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]
[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]
Now
[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]
[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]
[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]
I already know the answer but ima check and see.
rewarding 20 points pls help.
Which ordered pair is a solution of y = x+4
A.(0,0)
B.(5,54)
C.(7,28)
D.(9,13)
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz help, give good answer and get brainlest!!
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
pls help me on this !!!
Answer:
7, 12, 13
Step-by-step explanation:
Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the answer.
a^2 + b^2 = c^2
A.
a^2 + b^2 = 18^2 + 80^2 = 6724
c^2 = 82^2 = 6724
Right triangle.
B.
a^2 + b^2 = 7^2 + 12^2 = 193
c^2 = 13^2 = 169
Not a right triangle.
C.
a^2 + b^2 = 3^2 + 4^2 = 25
c^2 = 5^2 = 25
Right triangle.
D.
a^2 + b^2 = 45^2 + 60^2 = 5625
c^2 = 75^2 = 5625
Right triangle.
Answer: 7, 12, 13
PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
Can a triangle be made using the side lengths of 5, 10, 2?
a
Yes
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measures more than the longest side.
Answer:
The answer is C. No, the sum of...
Please help me thanks!
Answer:
3rd Option[tex] \frac{6}{17} [/tex]
Step-by-step explanation:
Given,
No. of blue marbles = 6
No. of green marbles = 6
No. of red marbles = 5
So,
Total no. of marbles = 6+6+5 = 17
Therefore,
Probability of not getting blue marbles
[tex] = \frac{6}{17} [/tex]
Hence,
3rd option is correct.
Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?
Answer:
5.24 hours
Step-by-step explanation:
I like to set these up as ratios.
279 miles/4.5 hours = 325 miles/ x hours
Then cross multiply
279x = 4.5 x 325
279x = 1462.5
divide both sides by 279
x = 5.24 hours
You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:
279/4.5 = 62mph
325/62 = 5.24