Answer:
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.
This means that [tex]n = 250, \pi = \frac{14}{250} = 0.056[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275[/tex]
The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.
As of 2018, Apple had 5 billion outstanding shares. The stock price is roughly $200.
A) How much is Apple worth?
B) If all tangible assets total $1 Billion, what
represents the rest of Apple's worth?
Answer:
Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.
Step-by-step explanation:
Given that as of 2018, Apple had 5 billion outstanding shares whose stock price is roughly $ 200, to determine the value of the company and determine, if all tangible assets total $ 1 Billion, what represents the rest of Apple's worth, the following calculations must be done:
5 billion = 1,000,000,000
5,000,000,000 x 200 = X
1,000,000,000,000 = X
1 trillion = 1000 billions
1000 - 1 = 999
Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.
Solve the system of equations.
- 4x + 11y = 15
X= 2y
X=
y =
Answer:
x=(11/4y)+ (−15/4)
Step-by-step explanation:
5/7+1/2 what the answer for this
[tex] \frac{5}{7} + \frac{1}{2} [/tex]
Taking the L.C.M,
[tex] \frac{10 + 7}{14} [/tex]
Adding them up,
[tex] \frac{17}{14} [/tex]
In mixed terms,
[tex]1 \frac{3}{14}[/tex]
Answer:
17/14 or 1³/14 is the answer
what is the excluded value of the equation y=(2/x-1)+1
Answer:
x = 1
Step-by-step explanation:
So let me rewrite the problem so it looks better.
[tex]y=(\frac{2}{x-1}) + 1[/tex]
In math, division by zero is forbidden.
If you look, there is a division by an unknown value in the equation.
The excluded value must make x - 1 zero
x - 1 = 0
x = 1
1 is the excluded value.
The sample space of rolling a six sided die twice is shown in the table.
What is the probability that the sum of the dice is 8 or greater?
Answer:
8/36 or 2/9
Step-by-step explanation:
8 possibilities:
3,6
4,6
5,5
5,6
6,6
6,3
6,4
6,5
Evaluate 4y if y = 3
Answer:
12
Step-by-step explanation:
y = 3 so
4 × 3 = 12
The value of 4y at y=3 is 12.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Expression : 4y
Now, we have to put y= 3
So, 4y
= 4(3)
= 12
Hence, the value of 4y at y=3 is 12
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ2
A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $70.00. a. Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls (to 2 decimals).
Answer:
The 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($234.96, $269.94).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9983
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9983\frac{70}{\sqrt{64}} = 17.49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 252.45 - 17.49 = $234.96.
The upper end of the interval is the sample mean added to M. So it is 252.45 + 17.49 = $269.94.
The 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($234.96, $269.94).
Determine the smallest integer value of xx in the solution of the following inequality.
−3x+10≤5
Answer:
2
Step-by-step explanation:
-3x ≤ -5
if we divide for a negative number we have to change the sign of the inequality
x ≥ 5/3
5/3 = 1,666
so the nearest integer number is 2
Answer:2
Step-by-step explanation:
2x3 + 10x2 − 4x2y − 20xy 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)
Answer:
[tex]2x(x-2y)(x+5)[/tex]
Step-by-step explanation:
Factor out any GCFs before proceeding!
[tex]2x(x^2+5x-2xy-10y)[/tex]
Split the parenthesis into two.
[tex]2x((x^2+5x)-(2xy-10y))[/tex]
Factor out GCFS of both again!
[tex]2x(x(x+5)-2y(x-5))[/tex]
Now that you have two matching equations, you can cancel one out!
[tex]2x(x-2y)(x+5)[/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
2,144.66 miles³
Step-by-step explanation:
v = (4/3)πr³
v = (4/3)π(8³)
v = 2,144.6605848506
Rounded
2,144.66 miles³
Sue’s height is 3 inches less than Ed’s height. Ed is 56 inches tall. How tall is Sue? Write an equation to represent the situation. Then solve the equation to answer the question.
Answer:
S = E - 3
Sue is 53 inches tall.
Step-by-step explanation:
Let Sue's age be represented by S and Ed's by E
Equation:
S = E - 3
E = 56 inches
S = 56 - 3 = 53 inches
Red Pontiac potatoes are
$5.00 per pound. If Jeremy wants to buy 14 pound, how much money will he spend?
Answer:
Step-by-step explanation: 14 * 5 = $70
Find the value of x.
the radius of a circle increased by 75% then the circumference will be increased by
Answer:
75%
Step-by-step explanation:
increasing of the circumference is proportional with increasing of the radius
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Assume the conditions for regression inference have been satisfied. To construct the 90% confidence interval for the true slope of the population regression equation relating amount of fertilizer to yield.
Required:
How many degrees of freedom does the t-distribution have?
Answer:
Option b is correct answer
Step-by-step explanation:
The complete question is attached herewith
Solution
The equation of a line in given by
y=a +bx where
a is the Y- intercept and
b is the slope
From the given piece of information, we can derive that
coefficient of intercept = 10.1
coefficient of fertilizer= 1.150
Substituting the given values in above equation, we get -
y=10.1+1.150x
Option b is correct answer
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
Solve for x
108 degrees
72 degrees
18 degrees
17 degrees
Answer:
18 degrees
Step-by-step explanation:
the figure is 90 degrees so to find the missing angle you use the the given information (72 degrees), so 90 - 72 = 18 and thats the missing angle
The measure of the angle x will be 18 degrees. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
We know angles are complementary. Then the value of x will be
72° + x = 90°
x = 18°
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
A rectangular
pyramid and a rectangular prism have the same base measurements and
height measurements. If the volume of the prism is 30 cubic inches,
what is the volume of the pyramid? To check if you answer is
reasonable, think about which shape is bigger.
9514 1404 393
Answer:
10 cubic inches
Step-by-step explanation:
The volume of of a prism is 3 times the volume of a pyramid with the same base area and height.
pyramid volume = 1/3(prism volume)
pyramid volume = (1/3)(30 in³) = 10 in³
b. 22 is what percent of 440?
Answer:
5%
Step-by-step explanation:
440 × ? = 22
=> ? = 22 ÷ 440
=> ? = 0.05
0.05 × 100% = 5%
in order to maintain a healthy weight, an average dog that weights 17
Answer:
In order to maintain a healthy weight, an average adult dog that weighs 17 kilograms must consume 13 grams of dog food per kilogram of its body weight each day. A specialty pet store sells dog food by the cup, where 6 cups of dog food weighs 558 grams.
Hope this helps! Have a good day! :)
How many thirds are equal to 2/6? please explain using an equation.
Answer:
How many thirds are equal to 2/6?
1/3 = 1/3
2/6 = 1/3
3/9 = 1/3
4/12 = 1/3
Step-by-step explanation:
I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.
Have a great rest of your day/night!
1 thirds
divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.
A prism has three rectangular faces. It's other faces are in the shape of a _____.
Answer:
Rectangle or parallelogram
evaluate function expression -2×f(-6)-7xg(-7)
Answer:
-12xf+49xg
Step-by-step explanation:
2xf(-6)-7xg(-7)
-2xf*6+7xg*7
Gives you -12xf+49xg
Answer: wym
Step-by-step explanation:
Which two discontinuities does the graph show?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
Discontinuities can be classified as jump, infinite, removable, endpoint, or mixed. Removable discontinuities are characterized by the fact that the limit exists. Removable discontinuities can be "fixed" by re-defining the function.
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
jump discontinuity at x = –2; infinite discontinuity at x = 0
Step-by-step explanation:
For Edge 2021
A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio
Complete Question
A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)
Answer:
[tex]X=0.0984[/tex]
Step-by-step explanation:
From the question we are told that:
Temperature T=500 K
Energy of state 1 [tex]E_1=4.1e-20 J[/tex],
Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]
Generally the equation for Probability of finding the system in state is mathematically given by
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Therefore
For Probability of finding the system in state 1 [tex]P(1)[/tex]
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Where
K is Boltzmann constant
[tex]K=1.38*10^{-23}[/tex]
[tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]
For Probability of finding the system in state 1 [tex]P(2)[/tex]
[tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]
Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by
[tex]X=\frac{P(2)}{p(1)}[/tex]
[tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]
[tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]
[tex]X=0.0984[/tex]
Pleas help me am going to fail
Answer:
20 × 9= 180
...............................
Hi there!
[tex]\large\boxed{180 u^2}[/tex]
Use the following formula to solve for the area:
A = b × h
Plug in the given numbers:
A = 20 × 9 = 180 units²
Choose the function that represents the data in the table.
X
0
0
1
3
2
12
3
27
4
48
cho
y
O y = x2
O y = 3x2
O y = x2 + 3
y = 2x + 3
Answer:
y=3x^2
Step-by-step explanation:
edge
Answer:
he's right
Step-by-step explanation:
Solve for X.
X-9
2/36
A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3. What is the
value of b?
Answer:
the value of b is 3
I think
hope it helpedAnswer:
-1
Step-by-step explanation:
Since y=mx+b is parallel to y=2x+3, these two line have the same slope of 2
Put m=2 and (2,3) into y=mx+b, we have
3=2(2)+b
b=-1
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
Answer:
Solution given:
Y=90°
∠X=73°.
∠ZWY=80°
and XW=80.
ZY=?
We know that
In right angled triangle ∆ XYZ
Tan 73=[tex] \frac{p}{h} [/tex]
3.27=[tex] \frac{yz}{xy} [/tex]
3.27×[xy]=yz
xw+wy=[tex] \frac{yz}{3.27} [/tex]
wy=[tex] \frac{yz}{3.27} [/tex]-80...........(1)
again
In right angled triangle WYZ
Tan 80=[tex] \frac{yz}{wy} [/tex]
5.67×wy=yz
wy=[tex] \frac{yz}{5.67} [/tex]
yz=5.67×wy............................................(2)
Equating equation 1&2
[tex] \frac{yz}{5.67} [/tex]=[tex] \frac{yz}{3.27} [/tex]-80
[tex] \frac{yz}{3.27} [/tex]-[tex] \frac{yz}{5.67} [/tex]=80
5.67yz-3.27yz=80*5.67*3.27
2.4yz =1483.272
yz=[tex] \frac{1483.272}{2.4} [/tex]
yz=618.03
:.y=618.03unit.the length of ZY to the nearest 100th is 618.