Answer: x = 5
Step-by-step explanation:
We can set up an equation to solve for x:
3x + 4 = 19
We can subtract 4 from both sides:
3x = 15
We can divide both sides by 3:
x = 5
A random sample of 200 shoppers at a local grocery store found that 135 of the 200 sampled
would be willing to use self-checkout kiosks if the store installed them (ộ = 0.675).
Assuming you believe the initial results to be reasonable, how many samples would be required if
you wanted to re-do the sample, construct a 95% confidence interval, and reduce the margin of
error to 3%?
Round your answer to the nearest whole number. Remember: with sample sizes we always round
up!
Using the z-distribution, as we are working with a proportion, it is found that samples of 937 should be taken.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have that:
The estimate is of [tex]\pi = 0.675[/tex].The margin of error is of M = 0.03.95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].Then, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.675(0.325)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.675(0.325)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.675(0.325)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.675(0.325)}}{0.03}\right)^2[/tex]
[tex]n = 936.4[/tex]
Rounding up, it is found that samples of 937 should be taken.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Use the graph of the line shown to determine its slope.
The slope of line AB is
.
Answer:
wheres the graph.
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
On edg
Please help me ASAP
( Will mark brainliest )
Answer:
I think A, but if not I am soooooo sorry
Three times the sum of twice n and 6 is the same as the product of n less 2 and four. Find n
Answer:
61
Step-by-step explanation:
5. Noah was assigned to make 64 cookies for the bake sale. He made 125% of that
number. 90% of the cookies he made were sold. How many of Noah's cookies were left
after the bake sale?
Answer:
8 cookies
Step-by-step explanation:
64*1.25 = 80 to find how much cookies noah made
if 90%(0.9) were sold, we will find 80(0.1) to find whats left, which is 8
the measure of angle sqr is 65 the measure of angle pqs is x what is the vaule of x
Answer:
40
Step-by-step explanation:
The value of a right angle is 90° and <SQR is a fraction of <PQR.
Hence, <PQS, which is the other fraction of <PQR, equals 90-50 and 90-50 is 40.
Or we can do it like this;
⇒ 180-90-50
⇒ 90 - 50
⇒ 40
Thus, Answer is 40.
[RevyBreeze]
A rabbit population of 500 was introduced in a certain
county of Eagleville. Biologists observe that the population
increases 25% each year. Complete the following:
a. Identify a and b.
b. Write an exponential function that models the situation if
the trend continues.
C. How many rabbits will be in
Eagleville after 10 years?
Don’t copy and paste another answer. Will mark brainliest for correct answer.
Answer:
y = abx, with a > 0, b is the growth factor; it corresponds to the constant ratio r in a geometric sequence.Step-by-step explanation:
The area of a circle of radius 1 is π units squared. Use scaling to explain why the area of a circle of radius r is πr^2 units squared.
The area of a circle that has a radius that is given as r is πr² units², while if the raidus is r, its area would be π units².
What is the Area of a Circle?Area of circle = πr², where radius is r.
Thus, given that a circle has radius (r) = 1 units
Area of the circle = π(1²) = π units²
If the radius is given as r, the area of the circle remains as πr².
Therefore, the area of a circle that has a radius that is given as r is πr² units², while if the raidus is r, its area would be π units².
Learn more about area of circle on:
https://brainly.com/question/12269818
can someone help please ?
Answer:
yes they are
Step-by-step explanation:
(a-b)² = (a-b)×(a-b) = a²-b²
Answer:
No they are not
Step-by-step explanation:
squaring that expression will come out to be a^2-2ab+b^2
this is because you are doing (a-b)(a-b), so you have to multiply each term from the first set of parenthesis by each term in the second set of parenthesis.
a^2-ab-ab+b^2
a^2-2ab+b^2
(a-b)^2≠a^2-b^2
HELP ASAP PLEASE……
you ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way home. The total ride time is 22 minutes. How far away is school? Round your answer to the nearest hundredth of a mile
Answer: 2.44 miles.
Step-by-step explanation:Answer:
2.44 miles
Step-by-step explanation:
Give the following :
Average miles to school = 12 miles per hour
Average Miles from school = 15 miles per hour
Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667
Recall:
Speed = distance / Time
Time = distance / speed
Let distance = d
For the scenario described :
d/12 + d/15 = 0.3667
(5d + 4d) / 60 = 0.3667
5d + 4d = 22
9d = 22
d = 22/9
d = 2.44 miles
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
3.9
Step-by-step explanation:
The right triangle is marked with the sides adjacent and opposite the angle. That suggests the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(52°) = 5/x
x = 5/tan(52°) ≈ 3.9
Evaluate - x - y - z when x = - 8, y = 6 and z = -4.
Answer:
6
Step-by-step explanation:
Plug in the values of x, y, and z: -(-8) - 6 -(-4)Simplify: 8 - 6 + 48 - 6 + 4 = 6I hope this helps!
i need help i know i said this already but i need it 17.18 + 44.36
Answer:
61.54
Step-by-step explanation:
The decimal is .36 + .18 which is .54 and 17 + 44 is 61 so 61 + .54 is 61.54
Well guys I hope you guys know the answer for this question. Help please ASAP. Thank you
Answer: D) The linear model shows a strong fit to the data
The actual strength of the relationship is unknown unless we have the actual values of each data point (so we can compute the correlation coefficient r), but the residuals are randomly scattered about both above and below the horizontal axis. This means we have a fairly good linear fit. If all of the points were above the line, or all below the line, or all residuals fit a certain pattern (eg: parabola), then it wouldn't be a good linear fit.
Hey guys I’m a little stuck ?
2. A dress that originally costs $89.75 is on sale for 30% off.
Answer: $62.82
Step-by-step explanation:
Katherine recently had a swimming pool installed in her back yard. Using her water hose, she can put 90 gallons of water into the pool every hour. If the pool can hold 13,500 gallons, how long will it take to fill the pool?
A.
50 hours
B.
180 hours
C.
100 hours
D.
150 hours
Answer: D. 150 hours
Step-by-step explanation:
90 gallons = 1 hour
13,500 gallons = x hours
13,500 / 900 = 150
x = 150 hours
1.9x-0.8y=10 what is x
Answer: x = 0.421053y+5.263158
Step-by-step explanation:
x = 0.421053y+5.263158
Answer:
x=0.042105y+10/19
Step-by-step explanation:
Let's solve for x.
19x−0.8y=10
Step 1: Add 0.8y to both sides.
19x−0.8y+0.8y=10+0.8y
19x=0.8y+10
Step 2: Divide both sides by 19.
19x/19=0.8y+10/19
x=0.042105y+10/19
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1/4 and y-intercept at (0, -1)?
O A. y = 1/4 x -1/4
O B. y= 4x - 1
O C. y= 1/4x+1
O D. y = 1/4x-1
Answer:D
Step-by-step explanation: answer D. 1/4x-1
slope = 1/4 so the coefficent (number attatched to x) is going to be 1/4
y=-1 when x=0
A. =-1/4
B= -1 but the coefficent is not 1/4
C=1
D=-1
D is the correct answer
The question is attached
[tex]cos(A - B) = cos A cos B + sin A sin B[/tex]
In this case, A is [tex]\frac{\pi }{3}[/tex] and B is [tex]\frac{\pi }{5}[/tex], so:
[tex]cos\frac{\pi}{3} cos\frac{\pi}{5} +sin\frac{\pi }{3} sin\frac{\pi }{5} =cos(\frac{\pi}{3} -\frac{\pi}{5} ) = cos\frac{2\pi}{15}[/tex]
Hope that helps!
Natalie likes to mail lots of postcards when she goes on holiday. In 2014 the cost of a single postcard stamp was 0.34
1. Today Natalie buys 10 postcard stamps so what is the total cost of the stamps
2. Natalie and her freinds decide to buy 100 postcard stamps what will be the total cost of the stamps now?
Answer:
1: $3.40 2: $34.00
Step-by-step explanation:
you take 0.34 and multiply it by how many stamps you have. So in this case you have 10 stamps for #1 so you move the decimal over to the right once (since one step is a tenth) and you have $3.40 and for 100 stamps you restart with 0.34 and move the decimal over to the right twice since that would be one-hundredths, and you would get 34. or when you add the units $34.00
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
What is the m∡f in the figure shown?
°
Answer:
61
Step-by-step explanation:
f=98-37=61(exterior angle is equal to the sum of opposite Interior angles)
A function is defined by y = 2x + 1. What is the range of the function if the domain is {0, 2, 3}?
{0, 4, 6}
{0, 4, 6}
{1, 5, 7}
{1, 5, 7}
{0, 2, 3}
{0, 2, 3}
{2, 4, 5}
{2, 4, 5}
9514 1404 393
Answer:
{1, 5, 7}
Step-by-step explanation:
For x=0, y = 2·0 +1 = 1
For x=2, y = 2·2 +1 = 5
For x=3, y = 2·3 +1 = 7
The range is the list of y-values, so is {1, 5, 7}.
Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.
Answer:
The equation a + d(n-1)
Step-by-step explanation:
Where a is the first number in the sequence, d is the common difference and n is the position of a certain number in the series, e.g
1, 2, 3, 4, 5: a = 1, d = 1 (because 2-1=1, 3-2=1, 4-3=1, etc) and n = 1,2,3...
2, 4, 6, 8, 10: a = 2, d = 2 (because 4-2=2, 6-4=2, etc) and n = 1,2,3,4,5...
So for the second sequence, we could try to get the value of n in n = 6 as follows:
a + d(n-1) where a = 2, n = 6 and d = 2
Thus, 2 + 2(6-1) = 2 + 2(5) = 2 + 10 = 12
So the sixth number in the series would be 12
∠C and ∠D are complementary.
Let m∠C=(5x)° and m∠D=(7x−6)°.
What is the value of x?
Enter your answer in the box.
x =
Complementary angles have sum 90°
[tex]\\ \rm\Rrightarrow 5x+7x-6=90[/tex]
[tex]\\ \rm\Rrightarrow 12x-6=90[/tex]
[tex]\\ \rm\Rrightarrow 12x=96[/tex]
[tex]\\ \rm\Rrightarrow x=8[/tex]
Answer:
x = 8
Step-by-step explanation:
Complementary angles are two angles with measures that sum to 90°
Given:
m∠C = (5x)° m∠D = (7x − 6)°⇒ m∠C + m∠D = 90°
⇒ 5x + 7x - 6 = 90
⇒ 12x - 6 = 90
⇒ 12x = 96
⇒ x = 8
NEED HELP ASAP!!!
due by 3
Answer:
185
Step-by-step explanation:
Total area is 27 x 10= 270
unshaded are is 17x5= 85
270 - 85 = 185 (total shade area)
What is 3/7 of $56
I am not sure
Answer:
$24
Step-by-step explanation:
1. MULTIPLY: 3 x 56 = 168
2. DIVIDE: 168 / 7 = $24
I hope this helps!
Based on multiplication we have found that 3/7 of $56 is equal to $24.
We are given that the expression 3/7 of $56
To determine 3/7 of $56, we can multiply 3/7 by $56.
Multiply 3/7 by $56:
(3/7) x $56 = (3 x $56) / 7
Calculate the numerator:
3 x $56 = $168
Divide the numerator by the denominator:
$168 / 7 = $24
Therefore, 3/7 of $56 is equal to $24.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ6
You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?
Please show work thank you so much!!! 30 points
Work Shown:
C = 2*pi*r
6.28 = 2*3.14*r
6.28 = 6.28r
6.28r = 6.28
r = (6.28)/(6.28)
r = 1
The radius of the circle is 1 yard.
A = pi*r^2
A = 3.14*1^2
A = 3.14
The area is roughly 3.14 square yards.
The area of the trampoline is mathematically given as
a = 3.14
What is the area?Question Parameters:
You found one online that has a circumference of 6.28 yards
Generally, the equation for the Circumference is mathematically given as
C = 2*pi*r
Thererfore
6.28 = 2*3.14*r
r = (6.28)/(6.28)
r = 1
In conclusion, where radius is
[tex]a= pi*r^2[/tex]
a = 3.14*1^2
a = 3.14
Read more about Arithmetic
https://brainly.com/question/22568180
The ratio of black pencils to total colored pencils in Lauren's backpack is 1:9. How many orange pencils does Lauren have in her backpack?
Answer: Maybe Can Help..
2:18
3:27
4:36
5:45
6: 54
7:63
8:72
Step-by-step explanation:
Please help solve this SAT math problem
Answer:
3x^2-12x-63, 7x^2-28x-147
Step-by-step explanation:
I think this problem has two answers.
3(x+3)(x-7), 7(x+3)(x-7)