Answer:
answer will be option c tan x
pls Mark as brainliest
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)
Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
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 = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]
The margin of error for a 90% confidence interval when n = 45 is 10.02.
A company sells meal kits. Suppose that 70% of the first-time customers who order a vegetarian meal will order
again, while 65% of the first-time customers who order a gluten-free meal will order again. The company takes
separate random samples of 50 first-time customers who order each kind of meal. The company will then look at
the difference (vegetarian – gluten free) between the proportions of customers who order again in each
sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer: A
Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10
Step-by-step explanation: Khan Answer
For vegetarian orders 70% order again, so with a sample size of 50 we will have an estimated 35 people order again: [tex].7*50=35,50-35=15[/tex] This results in 35 successes and 15 failures. For gluten-free orders 65% order again, so with a sample size of 50 we will have an estimated 32.5 people order again:[tex].65*50=32.5,50-32.5=17.5[/tex] This results in 32.5 successes and 15 failures. Because these are all greater than 10, we can assume normality.
Answer:
Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10
Step-by-step explanation:
Ill MARK brainiest
How many cubic blocks of side length 1/6
inch would it take to fill a
cube with a side length 2/6 of inch?
Answer:
8
Step-by-step explanation:
What is 1 1/4 + 3 3/8 = pls show your work
Answer:
Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8
Step-by-step explanation:
dd the whole numbers first.
4+\frac{1}{4}+\frac{3}{8}
4+
4
1
+
8
3
2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}
4
1
,
8
3
. In other words, find the Least Common Multiple (LCM) of 4,84,8.
LCD = 88
3 Make the denominators the same as the LCD.
4+\frac{1\times 2}{4\times 2}+\frac{3}{8}
4+
4×2
1×2
+
8
3
4 Simplify. Denominators are now the same.
4+\frac{2}{8}+\frac{3}{8}
4+
8
2
+
8
3
5 Join the denominators.
4+\frac{2+3}{8}
4+
8
2+3
6 Simplify.
4\frac{5}{8}
4
8
5
It is desired to check the calibration of a scale by weighing a standard 10-gram weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10 and out of calibration if μ ≠ 10. A test is made of the hypotheses H0 : μ = 10 versus H1 : μ ≠ 10. Which of the three conclusions is best if H0 is rejected?
Complete question :
It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.
Which of the three conclusions is best ifH0 is rejected?
Answer:
The scale is out of calibration
Step-by-step explanation:
The null hypothesis ; H0
H0 : μ = 10 ; if this hold true, then the scale is in calibration
Alternative hypothesis ; H1
H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration
If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.
Hence, the best conclusion is that, the scale is out of calibration.
what is importance of banks to ecomics
Answer:
They do transactions from such a large distance
Step-by-step explanation:
Banks make it far easier for a complex economy to carry out the extraordinary range of transactions that occur in goods, labor, and financial capital markets. Banks are a critical intermediary in what is called the payment system, which helps an economy exchange goods and services for money or other financial assets.
log (5x) (x)= 7/2
Answer:
[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]
Which of the following expressions is/are equivalent to 16x + 8-2?
A. 22x
B. 24x2
C. 16x+ 6
D. 2(8x + 3)
E. 2(8x 8 - 2)
F. 4(4x + 2) - 2
What is the area of the following figure in square inches?
Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.
24 + 104 = 128
Step-by-step explanation:
First, I split the Square from the Traingle
Second, I did base times height which equaled (104)
Third, I found the area of the triangle by base times height divided by 2.(24)
Lastly, I added the figures up which equaled 128
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x2 − 7x + 300
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
Based on the given information, determine which company has a lower minimum and find the minimum value.
f(x) at (1, 899.50)
g(x) at (70, 55)
f(x) at (70, 55)
g(x) at (1, 899.50)
9514 1404 933
Answer:
(c) f(x) at (70, 55)
Step-by-step explanation:
The point (70, 55) is not on g(x), which increases from a minimum of 899.5. Obviously, 55 is less than 899.5, so f(x) at (70, 55) has a lower minimum.
Answer:
f(x) at (70, 55)
Step-by-step explanation:
I got it right on the test
Simplify the expression:
6(5 + x) - 2x
Answer: 30+4x
Step-by-step explanation: Expanding the expression you would get 30+6x-2x and then you subtract the 6x and 2x to get 4x
Answer:
30+4x.
Step-by-step explanation:
yehdbebdbejeiiwiwuebdbsjjjwiwjeurnfnd
A badminton tournament begins with 512 teams. If a team loses once, it is eliminated from competition. After the first round, 256 teams remain. After the 4th round, how many teams remain? How many rounds will be required to determine the champion?
Answer:
This is GP with the first term of 512 and common ratio of 1/2
The formula for nth term is:
aₙ = 512*(1/2)ⁿThe number of teams after the 4th round:
a₄ = 512*(1/2)⁴ = 32 teamsNumber of rounds to determine the champion:
1 = 512*(1/2)ⁿ2⁰ = 2⁹*2⁻ⁿ0 = 9 - n n = 9 roundsJames invests $5400 in two different accounts. The first account paid 14 %, the second account paid 6 % in interest. At the end of the first year he had earned $580 in interest. How much was in each account?
Given:
Total invested amount = $5400
Rate of interest for first account = 14%
Rate of interest for second account = 6%
Total interest after one year = $580
To find:
The amount invested in each account.
Solution:
Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).
Total interest = 14% of $x + 6% of $(5400-x).
[tex]580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)[/tex]
Multiply both sides by 100.
[tex]58000=14x+6(5400-x)[/tex]
[tex]58000=14x+32400-6x[/tex]
[tex]58000-32400=8x[/tex]
[tex]25600=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{25600}{8}=x[/tex]
[tex]3200=x[/tex]
Now,
[tex]5400-x=5400-3200[/tex]
[tex]5400-x=2200[/tex]
Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.
79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.
9514 1404 393
Answer:
0
Step-by-step explanation:
The two expressions for her salary can be equated:
2h +4 = 4 +4h
0 = 2h . . . . . . . . subtract 2h+4 from both sides
h = 0 . . . the husband's salary is zero dollars per month
Answer:
$2000
Step-by-step explanation:
Francesca deposited $70 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer $
Answer: $84
Step-by-step explanation:
70x0.1=7x2=14+70=84
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
I’m coming back to this hold on a sec brotha and be patient
Step-by-step explanation:
Can you guys help me real quick please
Answer: I believe the answer is 23k.
Step-by-step explanation:
Solve the system by Graphing
Step-by-step explanation:
whats 1+1 because i think its 11
Answer:
2
Step-by-step explanation:
when i have one fruit and you have another fruit and we add them together they are gonna b two
What's the slop of the line with the two points 3,2 and 7,9
One angle of a right triangle measures 75º. What is the measure of the other acute angle?
In a nationally representative sample of 1,668 adult Americans, 930 indicated that they had checked their credit score within the last 12 months. Suppose of the 930 people that had checked their credit report within the last 12 months, 37% had done so as part of their regular financial planning. Does this provide convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning
Solution :
The one sample proportion summary hypothesis test is :
p : proportion of successes
[tex]$H_0: p = 0.33 $[/tex]
[tex]$H_a : p > 0.33$[/tex]
The hypothesis test result by using the statistical software is :
Total = 930
Sample proportion = 0.37
Standard error = 0.0157
Z-stat = 1.697
P- value = 0.0448
Therefore, the hypothesis [tex]$H_0:p = \frac{1}{3} \text{ versus}\ H_a: p > \frac{1}{3}$[/tex] is correct.
And conclusion : Fail to reject [tex]$H_0$[/tex]. As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.
Multiply (6+3i)(3+i)
Patel bought a model rocket kit from a catalog. The
price of the kit was $125. A $10 charge for shipping will
be added. Patel received an allowance of $20 per
week. How many weeks will it take him to purchase
the kit?
Answer:
7 weeks
Step-by-step explanation:
add 10 to 125 then divide by 20
Answer: he will need to save to 7 weeks
Step-by-step explanation:
125+10=135
he needs 135 to get the kit
y=20x
135=20x
6.75=x
he will need to save to 7 weeks
if d is 55 degrees then what is F and E degrees. Explain how you know
Answer:
F=55
E=70
Step-by-step explanation:
The total degree of a triangle is 180.
So we have 180-55*2
E=180-110
E=70
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $14,500.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
c. What amount should you bid to maximize the probability that you get the property?
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?
Answer:
0.4185;
0.8835;
$14500;
No
Step-by-step explanation:
Given that :
a = 10200
b = 14500
f(y) = 1 /(b - a) = 1/(14500 - 10200) = 1/4300 = 0.0002325
A.)
P(x <12000) = ∫fydy at(12000 ; 10200) = ∫0.0002325dy at(12000 ; 10200)
P(x < 12000) = 0.0002325(12000) - 0.0002325(10200) = 0.4185
B.)
P(x <14000) = ∫fydy at(14000 ; 10200) = ∫0.0002325dy at(14000 ; 10200)
P(x < 14000) = 0.0002325(14000) - 0.0002325(10200) = 0.8835
(c.) 14500 ; because competitor's bid is at most 14500
D.) No ; Because by bidding $14500 ; getting the property is certain ; once the property is gotten, then it could be resold for $16000, to make a profit of $1500 ; by bidding less, winning the bid becomes uncertain which may means the profit might be lost in the long run.
If the length of a diagonal of a square is 10 feet what is the length of a side of the square
the answer is 10ft hope I helped
(1 point) Solve the following inequality, giving your answer in interval notation.
1 - x > 2
Answer:
-1
Step-by-step explanation:
1-x>2
-x>2-1
-x>1
-x/-1>1/-1
x<-1
Answer:
[tex]x < - 1[/tex]
Step-by-step explanation:
first step
try to leave x's in your left and number in your right
-x > 2-1
-x>1
step 2
by moving the sign minus to right it will become plus
and the inequality sign will change also
so x<-1
the region will ( - infinity to -1 )
[tex]( - \infty - 1)[/tex]
A rectangle is 17 inches long and 7 inches wide find the area
Answer:
119
Step-by-step explanation:
A=w 1=7x17=119