Answer:
We accept H₀ we don´t have enough evidence to support that more than 3 % of the packages are undeweight
Step-by-step explanation:
Sample size n = 1000
x ( defective packages found) = 40
p = 40 /1000 p = 0,04 p = 4 % then q = 0,96
np = 0,04 * 1000 and nq / 0.96 * 1000 both greater than 5
Then we can use the approximation of binomial distribution to normal distribution.
α is significance level α = 0,05
From z- table we find z(c) for α = 0,05 z(c) = 1,64
Test Hypothesis
Null Hypothesis H₀ p = 0,03
Alternative Hypothesis Hₐ p > 0,03
We can see from alternative Hypothesis that the test is a one tail test to the right of the bell shape curve of the normal distribution
To calculate z(c) = ( 0,04 - 0,03 ) / √ ( p*q)/n
z(c) = 0,01 * 31,62 / √ 0,04*0,96
z(c) = 0,3162 / 0,1959
z(c) = 1,6140 z(c) ≈ 1,61
Comparing z(s) and z(c)
z(c) > z(s) 1.64 > 1.61
Then z(s) is in the acceptance region for H₀ we accept H₀
4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
rises 2 units and east 3 units
rise / run = 2 / 3
What is the length of AC?
What is the area of this figure?
A train car has 23 rows that hold 4 seats each. If 3 train cars are coupled together, how many people can the train hold?
O 34 people
O 92 people
276 people
O 2,760 people
Answer:
276 is the answer
Step-by-step explanation:
23x4=92
92x3=276
A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.
Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.
Answer:
α = 1 - 0,915 = 0.085
β = 0.314
Step-by-step explanation:
Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.
Null hypothesis:
H0 : p = 0.7
If 11 of spot are removed then hypothesis rejected.
If 11 spots are not removed then hypothesis accepted
H1 : p >0/7
X is the number of spot and binomial random variable.
For a)
The probability of committing the type 1 error use alpha such as
α = P ( type I error)
where X > 10
and p = 0.7
for the given values where n = 12 and r = 10 and p - 0.7
we get
α = 1 - 0,915 = 0.085
b)
The nonrejection of the hypothesis where type II error is false .
The hypothesis for this is 0.9
This is Type II error
β = P ( type II error) = P ( X <= 10 where p = 0.9 )
Where n = 12 , r = 10 and p = 0.9
then
β = 0.314
A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement
Answer:
C
Step-by-step explanation:
It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.
What is the sample?A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.
If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.
Therefore, the correct answer is C. the sample had to have been selected without replacement.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
90+51+x=180(sum of interior angles of a triangle)
141+x=180
x=180-141
x=39 degree
Step-by-step explanation:
I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!
Find the area of the polygon:
Answer: i can give you tips of how to find the area of a polygon.
OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
Step-by-step explanation:
And you have to add all the sides of the lengths of the sum of the polygon
Plz help me well mark brainliest if correct,.........??
Answer: A
Step-by-step explanation:
Because to find the area I multiplied and got 72 then I looked up how to find them perimeter
Answer:
both A and B
Step-by-step explanation:
a's perimeter is 36 (6+6+12+12)
b's perimeter is 36 (4+4+14+14)
c's perimeter is 34 (9+9+8+8)
all the options equal to 72 sq. centi. if u multi
6*12=72
4*14=72
9*8=72
Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128
Answer:
64
Step-by-step explanation:
We are given the limit of f(x) as x approaches 0 is 4.
We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.
Let's use limit laws by bringing the limit inside the power.
So we have 1/4 * 4^4.
This equals 4^3=64.
The solution is : 64 is limit.
What is limit?In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
here, we have,
Given lim f(x) = 4.
We are given the limit of f(x) as x approaches 0 is 4.
We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.
Let's use limit laws by bringing the limit inside the power.
So we have 1/4 * 4^4.
This equals 4^3=64.
Hence, The solution is : 64 is limit.
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How is everbody doing today?
Answer:
:)))))))))))))))))) boring
Answer:
Doing alright.
Thanks for asking.
Step-by-step explanation:
Find the zeros of the function y=x(x+2)(x-4)
Answer:
first x= -2
second x= 2
third x= 4
evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2
Answer:
[tex]468in^{2}[/tex]
Step-by-step explanation:
L=12
W=9
H=6
2lw+2lh+2wh=468
Many think ts, "oh LWH" well actually lwh is volume
The brown paper required to wrap the package is 468 square inches.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
The diagram shows the package that is cuboid in shape.
The dimensions of cuboid are
The length of the cuboid = 12 in
The wide of the cuboid = 9 in
The height of the cuboid = 6 in
The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,
[tex]A=2(lw+hl+hw)[/tex]
⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]
⇒ [tex]A=2[108+72+54][/tex]
⇒ [tex]A=2[234][/tex]
⇒ [tex]A=468[/tex]
Hence we can conclude that the brown paper required to wrap the package is 468 square inches.
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Write the algebraic expression: 4p times the sum of 7 and 5p
Answer:
4p(7 + 5p)
Step-by-step explanation:
4p times the sum of 7 and 5p
4p(7 + 5p)
What is angle M and N and the length of NP
Best answer gets brainliest!!!!
Answer:
3
Step-by-step explanation:
Answer:
Angle M and N is 45 degrees, and the length of NP is approximately 6 cm
Step-by-step explanation:
With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.
*triangles add up to a total of a 180 degrees, (180 - 90 = 90)
9 ÷ 2 = 45
So: ∠M = 45° and ∠N = 45°
To find the length of NP, use the pythagorean theorem.
a² + b² = c²
a = MP = 5
b = NP = x
c = MN = 7.8
(5)² = 25
(7.8)² = 60.48
25 + x² = 60.48
x² = 60.48 - 25
x² = 35.84
x = √35.84
x = 5.986 = 5.99
NP = 5.99 = 6
The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.
Answer:
677838 people
Step-by-step explanation:
1.9 percent of 665200 is 12638
665200+12638=677838
Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.
Answer:
Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.
Step-by-step explanation:
:D
P and q are points on the line 2y-5x=10
Answer:
[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]
please help with this math question
Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle
90 degrees
65 degrees
25 degrees
155 degrees
9514 1404 393
Answer:
(b) 65 degrees
Step-by-step explanation:
When angles are complementary, their total is 90°. The measure of the other angle is ...
90° -25° = 65° . . . . . the measure of the other angle
The ratio of dogs to cats is 4 to 7. how many dogs are present if there is 49 cats
Answer:
28 dogs are present
Step-by-step explanation:
Dogs : Cats
= 4 : 7
= ? : 49
= 4 x 7 : 7 x 7
= 28 : 49
Solve the proportion then around your answer to the nearest hundredth
Answer:
[tex] \frac{6.3}{x} = \frac{2.56}{9.3} \\ x = \frac{6.3 \times 9.3}{2.56} \\ x = 22.89[/tex]
Answer:
x = 22.89
Step-by-step explanation:
6.3 / x = 2.56 / 9.3
Cross multiply
58.59 = 2.56x
Divide both sides by 2.56
22.88671875 = x
Round
x = 22.89
Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number
Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 − 100.
Determine how many, what type, and find the roots for f(x) = x^3 − 5x^2 − 25x + 125.
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.
Answer: $2,720
Step-by-step explanation:
Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.
In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:
Total interest = 12% * 68,000
= $8,160
Monthly rate is:
= 8,160 / 12 months
= $680
There are 4 months in 2020 so the interest for 2020 is:
= 680 * 4
= $2,720
11. You conduct a random
sample of 250 of UCLA's entering freshmen and get an average GPA of
a. Find a 95% confidence interval for the average GPA of all of UCLA's entering freshmen.
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval
support this claim? Explain your reasoning
Answer:
a) The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).
b) 4.05 is not part of the confidence interval, which means that it does not support this claim.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.75}{\sqrt{250}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.21 - 0.1 = 4.11
The upper end of the interval is the sample mean added to M. So it is 4.21 + 0.1 = 4.31
The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval support this claim?
4.05 is not part of the confidence interval, which means that it does not support this claim.
Q8. How many solutions does the system of equations have?
Answer:
it would be the first answer
Step-by-step explanation:
a solution is where the lines meet, and the coorinate is (1,4)
A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?
Answer:
10:46
Step-by-step explanation:
8:30 + 136 min.
= 8:30 + 2:16
= 10:46
Cher works in retail sales. Her salary is $400 plus 15% commission on weekly
sales.
Find her sales for the week if her wages for the week is $940.
Answer:
Sales of the week = 3600
Step-by-step explanation:
Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly sales.
To find - Find her sales for the week if her wages for the week is $940.
Solution -
Let us assume that,
Her sales of the week = x
Now,
Given that, Her salary is $400 plus 15% commission on weekly sales.
So,
Equation of salary becomes
Salary = 400 + [tex]\frac{15}{100}x[/tex]
i.e.
Salary = 400 + 0.15x .......(1)
Now,
Given that,
her wages for the week is $940.
i.e. Salary = $940
Put in equation (1), we get
940 = 400 + 0.15x
⇒0.15x = 940 - 400
⇒0.15x = 540
⇒x = 3600
∴ we get
Sales of the week = x = 3600
13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x
Answer: infinite solutions
Step-by-step explanation: