Answer:
X is equal to 5
Step-by-step explanation:
If DE is a midsegment of the triangle, then segments AD and DB are congruent, therefore they have the same value.
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1,000
delivery orders and constructed a one-sample z interval to estimate the proportion of delivery orders that take
more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4,000 orders.
Assume that the point estimates from each sample are approximately equal.
What is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about
select ratio v
the margin of error from the
larger sample.
Answer:
2 times
Step-by-step explanation:
Khan Academy
You can use the formula for margin of error and the fact that the point estimates of both the samples are same to calculate the ratio of margin of errors of both the samples.
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.
[tex]MOE_1 = 2 \times MOE_2[/tex]
How to calculate the margin of error for a given sample from a population?Let the level of significance be [tex]\alpha[/tex] and the standard deviation of the population be [tex]\sigma[/tex] and the sample size be n, then we have:
[tex]\text{MOE(Margin of Error)} = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Using the above formula to calculate the margin of errors for two specified samplesFor first sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_1 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}[/tex]
For second sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_2 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
[tex]\dfrac{MOE_2}{MOE_1} = \dfrac{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}}{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}} = \sqrt{\dfrac{1000}{4000}} = \dfrac{1}{2}\\\\\\MOE_1 = 2 \times MOE_2[/tex]
Thus,
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.[tex]MOE_1 = 2 \times MOE_2[/tex]
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A copy machine makes 136 copies in 4 minutes and 15 seconds. How many copies does it make per minute?
Answer:
The copy machine makes 32 copies per minute.
Step-by-step explanation:
Given that a copy machine makes 136 copies in 4 minutes and 15 seconds, to determine how many copies does it make per minute, the following calculation must be performed:
15 seconds = 0.25 minutes
136 / 4.25 = X
32 = X
Therefore, the copy machine makes 32 copies per minute.
Starmax is showing the same movie in three theaters. In theater A, 36 of 60 seats are taken. In theater B, 81 seats are taken and 9 are empty. In theater C, 12 of 80seats are empty which theater has the greatest percent of the seats taken?
Answer:
Theater B.
Step-by-step explanation:
Find out each theatre's percentage of seats taken.
Theater A =
100% = 60
1% = 60 ÷ 100 = 0.60
36 ÷ 0.60 = 60% of the seats taken.
Theater B =
81 + 9 = 90
100% = 90
1% = 90 ÷ 100 = 0.90
81 ÷ 0.90 = 90%
Theater C =
100% = 80
1% = 80 ÷ 100 = 0.80
80 - 12 = 68
68 ÷ 0.80 = 85%
Theater B have the greatest percentage of seats taken out of all 3.
Solve. Between [0, 2pi]
2cos^2x+7cosx+3=0
9514 1404 393
Answer:
x = {2π/3, 4π/3}
Step-by-step explanation:
The equation can be factored as ...
(cos(x) +3)(2cos(x) +1) = 0
The solutions are the values of x where the factors are zero.
cos(x) +3 = 0
cos(x) = -3 . . . . . . no real solution
__
2cos(x) +1 = 0
cos(x) = -1/2
x = arccos(-1/2) = 2π/3
The other solution in the desired interval is ...
x = 2π -(2π/3) = 4π/3
The solutions are x∈ {2π/3, 4π/3}.
Katie has $600 in a savings account that earns 5% annually. The interest is not compounded. How much interest will she earn in 1 year ?
Answer:
$30
Step-by-step explanation:
The formula for interest is I = Prt
Principal = 600
Rate = 0.05 or 5%
Time: 1 year
600 x 0.05 x 1 = 30
She earned an interest of 30.
In the diagram, the measures of 1 and 4 are 100. The measure of 5 and 8 are 110. Are lines C and D parallel
B on Ap3x.............
Answer:
B
Step-by-step explanation:
In the rhombus below, m
What is the measure of
Answer:
53
Step-by-step explanation:
What is a 7 - 0.9 = *
Answer: 6.1
Step-by-step explanation:
Answer:
6.1
Step-by-step explanation:
have a good day/night may i please have a branlliest
What is the answer to: 20 - 6x = 4x -15 = ?
Answer:
20 - 6x = 4x - 15
35 - 6x = 4x
35 = 2x
x = 15.5
The solution to the equation 20 - 6x = 4x -15 is x = 3.5.
To solve the equation 20 - 6x = 4x - 15,
20 - 6x = 4x - 15
To isolate the variable terms on one side, add 6x to both sides:
20 - 6x + 6x = 4x - 15 + 6x
20 = 10x - 15
Next, add 15 to both sides to further isolate the variable term:
20 + 15 = 10x - 15 + 15
35 = 10x
Finally, divide both sides by 10 to solve for x:
35/10 = 10x/10
3.5 = x
Therefore, the solution to the equation is x = 3.5.
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Find Arc ABC pls I need help
Step-by-step explanation:
Arc AD = 70
< D = 98
So
Arc BC = 2 * < D ( relation between arc and inscribed angle)
= 2 * 98
= 196
Hope it will help :)❤
Billy drove 192.5 miles at an average speed of 55 miles per hour. The statement shown represents this situation.
55h = 192.5
What was the total number of hours, h, it took Billy to drive this distance?
A. 4.5
B. 4
C. 3.5
D. 3
Answer:
C) 3.5 hours
Step-by-step explanation:
55h = 192.5
55h/55 = 192.5/55
h = 3.5 hours
The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. The most recent survey estimates with 90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922. Find the point estimate for mean U.S. household income and the error bound for mean U.S. household income.
Answer:
The point estimate used was of $69,821.
The error bound is of $101.
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The error bound is half the difference between these two values.
In this question:
90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922.
Point estimate:
(69720+69922)/2 = 69821
The point estimate used was of $69,821.
Error bound:
(69922 - 69720)/2 = 101
The error bound is of $101.
if In x + ln(x – 4) = ln(7x), then x
Answer:
x=11
Step-by-step explanation:
ln rule: ln(ab)=ln(a)+ln(b)
ln(x)+ln(x-4)=ln(7x)
ln(x(x-4))=ln(7x)
x^2-4x=7x
x^2-11x=0
x(x-11)=0
x=0 or x=11
Since ln(x) is undefined when x is less or equal to 0
x=11
[tex]\sqrt{529x^{19}}[/tex]
Simplify the radical expression.
Write your answer in form A,
B or [tex]A\sqrt{B}[/tex] where A and B are constants or expressions in x. Use at most one radical in your answer, and at most one absolute value symbol if need.
Answer:
Step-by-step explanation:
√(529x^{18}x)
√529=23
√x^{18}=x^9
[tex]\sqrt{529x^{19}}=23\sqrt{x^{18}x}=23x^9\sqrt{x}[/tex]
Factor Зу2 - 4у.
y(4 - Зу)
y(Зу - 4)
y(4y-3)
I need help please.
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 100°. what is the
measure of ZQRS?
mZQRS = [?]°
The measure of other supplementary angle where one angle is 100° is 80°
In the above question, it is given that two angles are supplementary angles and,
Two angles are said to be supplementary angles if their sum is 180 degrees.
We have,
The measure of one angle is = 100°
Let the angle which needs to be find as ∠x
That means, we need to find the measure of ∠x
So, according to the supplementary angles property,
100° + ∠x = 180°
∠x = 180 - 100
∠x = 80°
Hence, the measure of other supplementary angle where one angle is 100° is 80°
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What is m∠1 in this ixl
Answer:
m<1 = 137
Step-by-step explanation:
Exterior angles thm:
41 + 96 = m<1
m<1 = 137
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
Enter the expression using exponents. 11 × 11 × 11 × 11 × 11 =
Answer:
the answer should be [tex]11^{5}[/tex] or 11^5
Explanation:
Since there are five 11 in the equation, the answer should be [tex]11^{5}[/tex] or 11^5
You shouldn't write 161051 as the answer because it is NOT a exponent.
Solve for x to the nearest degree.
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
Simplify the expression:
3(2+8p)
A. 6+24p
B. 30p
C. 3(10p)
D. 6p+24
Answer:
A. 6+24p
Step-by-step explanation:
=(3)(2+8p)
=(3)(2)+(3)(8p)
=6+24p
=24p+6
Question 4 (2 points)
A pizza restaurant offers thin crust or deep dish pizzas. This weekend, they have a special offer that includes 1 meat topping of
either pepperoni or sausage, and 2 vegetable toppings chosen from onions, black olives, and peppers. The different pizzas are
listed in the table shown.
Answer:
25%
Step-by-step explanation:
Morgan and her family live in a rural community in Alabama. Their average monthly expenses to meet their basic needs are shown in the table.
What is the minimum amount Morgan's family needs monthly to meet their budget?
Answer:
add up all the numbers
Step-by-step explanation:
$3017
Which statement correctly describes the relation between the variables in the equation C = id.
a. C varies directly as d
C varies jointly as d
b. C varies inversely as d
d. C varies directly as .
c.
Please select the best answer from the choices provided
Ο Α
OB
Ос
OD
Answer:
c. C varies inversely as d
hope this helps you☺️☺️
Darby’s Breakfast table an square tabletop what are your area of 36 ft.²
Answer:
Diagonal length = 8.59
Step-by-step explanation:
To find the diagonal length, we need the length of the sides. We find the length of the sides by finding the square root of 36, which is 6. Then, we use this equation (see attached image)
So I tried everything I could but I still don’t know
Step-by-step explanation:
app it's a standard 30 60 90 triangle. there are rules for this.
x = 3
y = 6
I JUST NEED AN ANSWER AND EXPLANATION PLEASE
Which equation in standard form represents the line in the graph?
Answer:
B) -3x+y=1
Step-by-step explanation:
y=mx+b
b=y-intercept=1
m=slope=3/1
y=3x+1
-3x+y=1
hi! pls help me, this is my last question. :)
Answer:
The answer is A.
Step-by-step explanation:
Answer:
D: C and D
Step-by-step explanation:
120/12=10
20/5=4
18/3=6
48/8=6
Since C and D have the same answer they are equal.
2x+3x+9=26
can someone help me plz
Step-by-step explanation:
2x+3x+9=26
5x = 26 - 9
5x = 16
x = 16/5