Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
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].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue 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}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?
Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
------------------
John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.
increase 70 in ratio 3:2
Please help, I need to solve for m. a=f/m
The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).
Which equation represents g(x)?
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5
Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot
Step-by-step explanation:
The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]
The graph of the function is given as:
[tex]y = \sqrt[3]{x}[/tex]
The above graph passes through the origin.
So, the function can be rewritten as:
[tex]y -0= \sqrt[3]{x - 0}[/tex]
The above function has an inflection point at (0,0).
The translated function is said to have its inflection point at (4,0).
So, the translated function is:
[tex]y -0= \sqrt[3]{x - 4}[/tex]
Subtract 0 from y
[tex]y= \sqrt[3]{x - 4}[/tex]
Express y as a function of x
[tex]g(x)= \sqrt[3]{x - 4}[/tex]
Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]
Read more about translation at:
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Obtain the truth value of
(i)
If 5 + 6 = 11, then 11 – 6 = 5.
(ii)
If 5 + 8 = 12, then 12 + 8 = 20.
(iii)
If 6 + 9 = 14, then 14 – 7 = 8
(iv)
If 7 + 8 = 15, then 8 – 7 = 2
Find the area of the regular octagon with radius of 14
feet.
Answer:
uhm- ok ok ok level hard o my gosh
What's the exact value of tan 15°?
O A) 2 + √3
B) 1
OC2
C) 2 - V3
OD) 1 + v3
Please Help!!!!
Answer:
C
Step-by-step explanation:
Split
15
into two angles where the values of the six trigonometric functions are known.
The result can be shown in multiple forms.
Exact Form:
2−√3
The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
What is mean by Function?
A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find the exact value of tan 15°.
Now, We can formulate;
tan 15° = tan (45 - 30)°
= tan 45° - tan30° / (1 + tan45° tan30°)
= (1 - √3) / (1 + √3)
= (1 - √3) (1 - √3) / (1 + √3) (1 - √3)
= (1 + 3 - 2√3) / (1² - √3²)
= (4 - 2√3) / (1 - 3)
= 2 (2 - √3) / - 2
= - (2 - √3)
Thus, The exact value of tan 15° is,
⇒ tan 15° = - (2 - √3)
Learn more about the function visit:
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HELP ME PLEASE
15 points and brainliest if right
Step-by-step explanation:
area of a rectangle bh
4x7=28
7x9=63
9x4=36
the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.
Hope that helps :)
pls help i give you brainliest
In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?
Answer:
[tex]y = 213 + 0.05x[/tex]
Step-by-step explanation:
Given
[tex]Initial = 213[/tex]
[tex]Rate = 5\%[/tex]
The equation to o this is:
[tex]y = intial +rate * weeks[/tex]
[tex]y = 213 + 0.05x[/tex]
A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting 1 yellow marble, not replacing it, then selecting a green marble
Without replacement is very important
Solve for all values of x:
(x-3)2 = 16
• A X=-7,4
B. X= 4,1
I C. X= 7,11
D. X= 7,-1
Answer:
X= 6/D
Step-by-step explanation:
i did the math
Using the photo above, describe what type of symmetry it has.
a. if it has reflection symmetry, draw all lines of symmetry.
b. if it has rotational symmetry, what is all the angle of rotational symmetry (the smallest)
c. if has translational symmetry, what is shape is getting repeated
9514 1404 393
Answer:
b) rotational symmetry: multiples of 120°
Step-by-step explanation:
The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.
Solve for x. Round your answer to the nearest tenth.
42
37
X=
units
Answer:
10
Step-by-step explanation:
That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.
Numarical form:
47 + 37 = 79
90 - 79 = 11
11 = 10
How is this happening i was only gone for 2 weeks
Answer:
step it up dont lack
Step-by-step explanation:
keep answering and helping others
From a random sample of 16 people in a jail, the number of days remaining in each their sentences was noted. The 16 people have a mean remaining sentence of 645 days with a standard deviation of 31 days. Assume the population of remaining sentences is normally distributed. Construct a 95% confidence interval for the mean remaining sentence of all people in the jail. Round final answer to one decimal place.
Answer:
The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
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 = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{31}{\sqrt{16}} = 16.5[/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 645 - 16.5 = 628.5 days
The upper end of the interval is the sample mean added to M. So it is 645 + 16.5 = 661.5 days
The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.
My sister got stuck on these can you tell me the answers?
Lena purchased a prepaid phone card for $15. Long distance calls cost .17 cents a minute using this card. Lena used her card only once to make a long distance call. If the remaining credit on her card is $7.01, how many minutes did her call last?
Answer: 47 minutes
Step-by-step explanation:
Answer:
47 minutes is the answer
What's 1+1=? Pls help
Answer:
2
Step-by-step explanation:
USE A CALCULATOR OR USE YOUR FINGERS
Answer: I-i think its 8... wait no its 2!
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
2. Solve the following problems involving simple interest. Recall
Simple Interest-INT=PV*r*t
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%
per year. Find the total amount in dollars, the investor will receive when the loan is
repaid after 7 years.
Answer:
A = $56025
Step-by-step explanation:
Given that,
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5% per year.
Principal, P = 45,000
Rate of interest, R = 3.5%
We need to find the total amount the investor will receive when the loan is repaid after 7 years.
The formula for the simple is given by :
[tex]I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025[/tex]
We know that,
Amount = Principal + simple interest
So,
A = 45,000 + 11025
A = $56025
So, the required amount is equal to $56025.
Select the correct answer from each drop-down menu.
Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)
Answer:
she will not have enough money
she will have 23 more to save
Step-by-step explanation:
got it right on plato
Answer:
If the bike costs $150, Carla will
not have
enough money to buy the bike before the start of summer.
Carla will have
$23
more to save
.
Step-by-step explanation:
f(x) = x - 4 + 1
Describe the transformation
Answer:
here i gotchu mate:)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted down
3
units
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because
what is the area of this quadrilateral? plz help
Answer:
D. 12 square feet
Step-by-step explanation:
Multiply 3 × 4 to get 12 and divide by 2 for the top triangle. Then, multiply 3 × 4 for the bottom triangle and get 12 and divide by 2. Add 6+6 to get 12
5th grade math. correct answer will be marked brainliest
Answer: First 12/8, then 3/2
Step-by-step explanation: 3/2.
If you want the mixed fraction, it would be 1 1/2.
4 times 3 is 12... 12/8
1 whole box (8/8)
So 12/8-8/8=4/8 left
1 whole and 1/2
Verify the Identity.
tan²xsin²x = tan²x-sin²x
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
what is the area of the trapozoid?
Answer:
8units²
Step-by-step explanation:
area of trapezoid=½(a+b)*h
a=2
b=6
h=2
area of trapezoid=½(2+6)*2
area of trapezoid=½(8)*2
area of trapezoid=4*2
=8units²
help me please!! i’m confused!!
Based on the data im the circle graph if there are 48 total students in the eighth grade, what is the total number of female eighth grade students on academic teams?
A. 48
B. 25
C. 36
D. 12
Answer:
D 12
Step-by-step explanation:
25% of 48 is 12
Please Give Brainliest
Im on a roll today since im sick