Answer:
The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].
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].
97.1% confidence level
So [tex]\alpha = 0.029[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.029}{2} = 0.9855[/tex], so [tex]Z = 2.18[/tex].
The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].
how do i simplify 81^5 = 3x
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
What are the values of m and 0 in the diagram below?
Answer:The correct answer is m= and θ = 30º.
Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is and the angle is theta.
First, we calculate the angle with theta's breast:
sin (θ) =
where H is the hypotenuse, in this case, the radio.
θ = ()
θ = 30º
Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:
cos (θ) =
m = cos 30º * H
m =
m =
Have a nice day!
12. The bus left at 9.30 a.m and
reached Their destination at 1.00 p.m. How long did
the bus take to reach their destination?
Answer:
3.5 hours
Step-by-step explanation:
1300 - 0930 = 330 = 3.5 hours
8 ? i need answers asap
Answer: SInce this is multiple choice I won't provide an explanation. The answers are B) (-1, -4) and E) (4, 6)
please help. question in picture
Answer:
Step-by-step explanation:
cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D
Step-by-step explanation:
Có 7 mặt phẳng
5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)
Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ
Use the remainder theorem to find P(2) for P(x) = -x^3 + 4x^2 + 4
Answer:
12
Step-by-step explanation:
P(2)=-2³+4(2)²+4=-8+16+4=12
Create a number line to illustrate the following operations and find the solution.
Answer:
416
Step-by-step explanation:
26 times 16 is 416
Slope is -1 and (3,2) is on the line
how much greater is the volume of the refrigerator than the volume of the top part
Answer:
volume quantity is hjaj
I need to find the value of x?
Answer:
x=20
Step-by-step explanation:
120=6x
120/6=6x/6
20=x
the sum of 1+2-3-4+5+6-7-8+9+10-...+1378
Answer:
1389
Step-by-step explanation:
hope this helps?
Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form
Answer:
Step-by-step explanation:
David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?
Answer:
Below in bold.
Step-by-step explanation:
Perimeter = 2*width + 2*length
So
240 = 2w + 2l
120 = w + l
l = 120 - w
(a) Area = w*l
Substituting for l:
A = w(120 - w)
A = 120w - w^2
(b)
Finding the derivative:
A = 120w - w^2
A' = 120 - 2w
For a maximum area A' = 0, so:
120 - 2w = 0
2w = 120
w = 60 yards for maximum area.
(c)
Maximum area
= 120*60 - 60^2
= 3600 yd^2.
The half life of Co-60 is 5.20 years. How many milligrams of a 1.00mg sample remains after 6.55 years
Answer:
For cobalt-60, which has a half-life of 5.27 years, 50% remains after 5.27 years (one half-life), 25% remains after 10.54 years (two half-lives), 12.5% remains after 15.81 years (three half-lives), and so on.
Step-by-step explanation:
You can figue out the rest.
Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)
Answer: The correct option is A.
Step-by-step explanation:
To calculate the distance between the points, we use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d= distance
[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis
[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis
For the given points:
A(-4,3), B(2,5), C(3,2) and D(-3,0)
Calculating the distance CD:[tex]x_2=3\\x_1=-3\\y_2=2\\y_1=0[/tex]
Putting values in above equation, we get:
[tex]CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units[/tex]
Calculating the distance AD:[tex]x_2=-4\\x_1=-3\\y_2=3\\y_1=0[/tex]
Putting values in above equation, we get:
[tex]AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units[/tex]
To calculate the area of a reactangle, we use the equation:
[tex]Area=l\times b[/tex] ....(1)
where,
l = length of the rectangle = CD = 6.32 units
b = breadth of the rectangle = AD = 3.16 units
Putting values in equation 1, we get:
[tex]Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}[/tex]
Hence, the correct option is A.
Answer:
The answer is A.
Step-by-step explanation:
I got it correct.
The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?
Answer:
70 + 301 = 371
Step-by-step explanation:
This equation tells the gym
I’ll give brainliest to the first answer
Answer:
52
Step-by-step explanation:
4 1/2 x + 2x
Let x = 8
4 1/2 (8) + 2(8)
Change to an improper fraction
9/2(8) +2(8)
36+16
52
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
27.5 miles per gallon
1 full tank = 15.45 gallons
27.5 x 15.45 = 424.875 miles
rounded to the nearest 100th: 424.88 miles
nearest 10th: 424.9 miles
nearest whole #: 425 miles
238/35 mixed number simpified
Answer:
6 4/5
Step-by-step explanation:
Find the Greatest Common Factor (GCF) of 238 and 35, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 7,
=238÷7/35÷7=34/5
Converting to a mixed number using long division with remainders for 34 ÷ 5.
34÷5=6R4
Therefore:
34/5=6 4/5
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct
Answer:
[tex]P(x < -778) = 0[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 48673[/tex]
[tex]\sigma^2 = 11282880[/tex]
[tex]n = 143[/tex]
Required
[tex]P(x <- 778)[/tex]
First, we calculate the z score
[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]
So, we have:
[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]
[tex]z = \frac{-778}{3359.0/143}[/tex]
[tex]z = \frac{-778}{23.49}[/tex]
[tex]z = -33.12[/tex]
So:
[tex]P(x < -778) = P(z < -33.12)[/tex]
From z score probability, we have:
[tex]P(x < -778) = 0[/tex]
John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?
Answer:
John attempted 500 passes this year
Step-by-step explanation:
To sum up the question, it is basically asking what number has 350 as 70% of it.
We know that:
350 is 70% of some number.
Convert 70% to fraction:
70% = 7/10
Divide:
350 ÷ 7/10 = 500
So 350 is 70% of 500
CHECK THE ANSWER:
10% of 500 is 50
To find 70% of 500, multiply:
50 x 7 = 350
I really hope this helps! Please ask me in case you’re confused.
A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.
Treating the fee as interest paid, what is the equivalent annual interest rate?
Answer:
1460
Step-by-step explanation:
20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.
Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.
Answer:
The answers for edge 2021 is
Step-by-step explanation:
16 and 10
In grade 6, there are 40 students. There are 8 girls, find the percentage of the boys?
Answer:
[tex]40 - 8 = 32 \\ \frac{32}{40} \times 100 \\ = 80\%[/tex]
if y=8, evaluate the following expression: 40-5y
Which expression is equivalent to
3V64k^12
Answer:
I think the answer is C
Step-by-step explanation:
qual é a raiz quadrada de 84
Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k
Answer:
The value of k is 14.
Step-by-step explanation:
(x - 2) is a factor of the polynomial
[tex]x - 2 = 0 \rightarrow x = 2[/tex]
This means that [tex]p(2) = 0[/tex]
p(x) = 2x² + 3x - k
[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]
[tex]0 = 8 + 6 - k[/tex]
[tex]14 - k = 0[/tex]
[tex]k = 14[/tex]
The value of k is 14.
The table contains the lengths of the sides of different triangles. Do the given side lengths form a right triangle?
Drag and drop Yes or No into the box next to the side lengths.
5 cm, 12 cm, 13 cm
8 cm, 9 cm, 10 cm
3 cm, 4 cm, 4 cm
7 cm, 24 cm, 25 cm
1 cm, 4 cm, 9 cm
Answer:
ans: it's order wise
a) yes
b) no
c) no
d) no
Step-by-step explanation:
use pythagoras theorem
h² = p² + b²
data given satisfying the theorem form right angled triangle
