Answer:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
(0.3672 , 0.7328)
Step-by-step explanation:
Explanation:-
Given Random sample size n =40
Sample proportion
[tex]p = \frac{x}{n} = \frac{22}{40} = 0.55[/tex]
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
[tex](p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )[/tex]
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
[tex](0.55-2.326\sqrt{\frac{0.55 X0.45}{40} } , 0.55 + 2.326\sqrt{\frac{0.55 X0.45}{40} } )[/tex]
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
Answer:
Step-by-step explanation:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that a household chosen at random has an income greater than $100,000. b. Find the probability that a group of 5 households, chosen at random, have an average income greater than $100,000. c. Find the probability that a group of 10 households, chosen at random, have an average income greater than $100,000.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
[tex]z=\frac{100000-72641}{30000}=0.91[/tex]
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
[tex]z=\frac{100000-72641}{30000/\sqrt{5} }=2.04[/tex]
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
[tex]z=\frac{100000-72641}{30000/\sqrt{10} }=2.88[/tex]
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
I dont know how to dis um can yalls help me yalls are so nice for helping me thx
Answer:
5 gallons
Step-by-step explanation:
Which of the following is an equivalent expression to 2x+2x+3y+y
A.4x + 2y
B.4xy
C.x+y
D.4x + 4y
Answer:
D. 4x + 4y
Step-by-step explanation:
2x + 2x = 4x
3y + y = 4y
So, 4x + 4y is the answer!
Find the measure of angle A.
Answer:
I had this question and i got it right it is the measure is four
Step-by-step explanation:
Write as quotient of powers.
Answer:
I said C on my test but I'm pretty sure its right
answer asap please!!
Alex has three times as many
cards as David. If the average
number of cards that Alex and
David have is 20, how many cards
does Alex have?
What is the slope of the line?
Answer:
math way
Step-by-step explanation:
Which of the following are proportional A.4/9=8/13 B.4/9=11/16 C.4/9=8/18 D.4/9= 9/9
Answer:
C. 4/9 = 8/18
Step-by-step explanation:
Help me please I’m dying
Answer:
[tex]\boxed{x = 2+2\sqrt{6} ~~or~~x = 2 - 2 \sqrt{6} }[/tex]
.
Step-by-step explanation:
To find x, use pythagoras form
[tex]c^2 = a^2 + b^2[/tex]
[tex](x + 4)^2 = x^2 + (x + 1)^2[/tex]
[tex]x^2 + 8x + 16 = x^2 + x^2 + 2x + 1[/tex]
[tex]2x^2 + 2x + 1 - x^2 - 8x - 16 = 0[/tex]
[tex]x^2 - 6x - 15 = 0[/tex]
[tex]x^2 - 6x = 15[/tex]
[tex](x - 3)^2 - 9 = 15[/tex]
[tex](x - 3)^2 = 15 + 9[/tex]
[tex](x - 3)^2 = 24[/tex]
[tex]x - 2 = \pm \sqrt{24}[/tex]
[tex]x = 2 \pm 2\sqrt{6}[/tex]
.
[tex]x_1 = 2 + 2\sqrt{6}[/tex]
[tex]x_2 = 2 - 2\sqrt{6}[/tex]
.
Happy to help :)
Need help not understanding it please thank you i appreciate it
Angle ADG, angle BEH and angle CFI, all have two curves in their angles. Same number of curves are used to represent that their measure are equal.
So, m angle CFI = m angle ADG
So, m angle CFI = m angle ADG=> m angle CFI = 92°
Can some one help me I will give the brainliest
Answer:
b,0,1
Step-by-step explanation:
Hi guys how are you I am new to brainly I really need help please don’t wanna fail please help
Consider the equation 2(3x + 4) = ax + b
Part 1
Find one value for a and one value for b so that the equation has infinitely many solutions.
For the value of a you determined above what is the value for b so that the equation has infinitely many solutions
Support your answer. Explain your reasoning
Part 2
Find one value for a and one value for b so that the equation has no solution.
Find the value of a you determined above what is the value for b so that the equation has no solution.
Support your answer explain your reasoning.
Answer:
Let's solve for a.
2(3x+4)=ax+b
Step 1: Flip the equation.
ax+b=6x+8
Step 2: Add -b to both sides.
ax+b+−b=6x+8+−b
ax=−b+6x+8
Step 3: Divide both sides by x.
ax
x
=
−b+6x+8
x
a=
−b+6x+8
x
Step-by-step explanation:
Hello can someone please help me with this.
Answer:
if there is equivalent ratio cookies should be 48
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $
Answer:
a. V = $109,600 - $5,750(t)
b. $69,350
Step-by-step explanation:
a. The expression of the value of the bulldozer is as follows
V = $109,600 - (m) × (t)
where,
m = depreciation
t = time in years
Now the equation would be
$109,600 - 16(m) = $17,600
m = ($109,600 - $17,600) ÷ (16)
= $5,750
Now the expression would be
V = $109,600 - $5,750(t)
b. Now the value of the bulldozer is
= $109,600 - $5,750 × 7 years
= $109,600 - $40,250
= $69,350
Rock-paper-scissors is a hand game played by two or more people where players choose to sign either rock, paper, or scissors with their hands. We would like to test if players choose between these three options randomly, or if certain options are favored above others. What hypothesis test should we conduct to answer this research question?
a. Chi square test of independence
b. Chi square test of goodness of fit
c. Compare two means
d. Compare two proportions
Answer:
The hypothesis test should we conduct to answer this research question is:
a. Chi square test of independence
Step-by-step explanation:
The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others." It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related. The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value. After repeating this process for all the elements involved, the sum is obtained.
Solve for x : 10x-8= 4-6x
anyone help?
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Add
to both sides of the equation
Simplify
Add
to both sides of the equation
Simplify
6
Divide both sides of the equation by the same term
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?
Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a. What is the average number of cars in the system
Answer:
4 customers
Step-by-step explanation:
Given that:
Mean Arrival rate (λ) = 4 cars per hour
Service rate (u) = 5 cars per hour
Using the queuing formula :
The average number of cars in the system can be obtained using the relation :
Number of customers in the system (L)
Number of customers in queue = (Lq)
L = Lq + (λ/u)
Lq = λ^2 / u(u - λ)
Hence,
Lq = 4^2 / 5(5 - 4)
Lq = 16/ 5(1)
Lq = 16/ 5
Lq = 3.2
L = 3.2 + (4/5)
L = 3.2 + 0.8
L = 4
One week, Madelyn earned $265.60 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $199.20?
Answer:
12 hours
Step-by-step explanation:
1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.
$265.60 / 16 hours = $16.60/hr
2. Now, divide the new amount earned by her hourly wages (16.60)
199.20/16.60 = 12 hours
If I have 12345678910 bananas and I take 12345678910 away, how many bananas do I have left?
Have a nice day :D
12345678910 - 12345678910 = 0
In tuv y is centroid if yw=5b and ty=4b+14 find tw
your right Step-by-step explanation:
The measure of TW from the given triangle TUV is 35 units.
What is centroid of a triangle?The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.
Given that, in triangle TUV, Y is centroid if YW=5b and TY=4b+14.
The centroid is positioned inside a triangle. At the point of intersection (centroid), each median in a triangle is divided in the ratio of 2:1.
Now, TY/YW =2/1
(4b+14)/5b =2/1
10b=4b+14
6b=14
b=14/6
b=7/3
Now, TW=YW+TY
TW=5b+4b+14
TW=9b+14
Substitute, b=7/3 in TW=9b+14, we get
TW=9×7/3+14
= 21+14
= 35
Therefore, the measure of TW is 35 units.
Learn more about the centroid here:
brainly.com/question/10708357.
#SPJ2
put the steps, for changing the formula for the arc length of a circle in degrees to the formula for the arc length of a circle in radians in the correct order.
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
[tex]\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Replace 360° with 2π radians.
[tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]
Replace the angle ratio in degrees with the angle ratio in radians.
[tex]\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r[/tex]
Simplify by cancelling
[tex]\textit{Arc Length}=\theta r[/tex]
Help me please i have be very grateful
Answer:
8,20,24
Step-by-step explanation:
these numbers they make 52
Isabella baked 10 cookies with 2 scoops of flour. How many scoops of flour does Isabella need in order to bake 45 cookies? Assume the relationship is directly proportional
Answer:
9 scoops
Step-by-step explanation:
If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)
Find the measure of the angle indicated. I’ll give BRAINLIEST
Answer:It should be -46 if im right dont hate if im worng.
Step-by-step explanation:
Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?
Reilly, Maria, and Tamara figured out that the ratio of the times they spent painting a deck is 3:5:1. They are going to use this ratio to share the $36.90 they earned. How much will Maria get?
plees 555+555 and 6 541,5-5 410,6
Answer:
what is this......................
For the following equation, complete the given ordered pairs.
3x + y = 10 (__, 1), (2, __)
A.
(10, 1), (2, 12)
B.
(0, 1), (2, 3)
C.
(3, 1), (2, 4)
D.
(2, 1), (2, 5)
Which statement is true regarding the graphed functions?
