Answer:
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
An Alternative hypothesis is accepted
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
Step-by-step explanation:
Step(i):-
Given that the mean life of a certain type of light bulb is at least 754 hours
Given that the random sample size 'n' =29
Given that the mean life of sample x⁻ = 737
Given that the standard deviation of the Population = 59
Step(ii):-
Null hypothesis: H₀: μ≥ 754
Alternative Hypothesis:H₁: μ≤ 754
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]
Z = -1.55
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at 0.08 level of significance
Final answer:-
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
what is the smallest subset of the number -8,546,999 belong to
Answer:
its 4
Step-by-step explanation:
A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 167?
the 11th term of an arithmetic sequence is 57 and the sum of the first and fourth term is 29. determine the first three terms of the sequence, the formular of nth term
Let a (n) denote the n-th term of the sequence. Since the terms form an arithmetic sequence, you have
a (n) = a (n - 1) + d
for some fixed constant d. You can write any term in the sequence as a function of the first term:
a (n) = [a (n - 2) + d] + d = a (n - 2) + 2d
a (n) = [a (n - 3) + d] + 2d = a (n - 3) + 3d
and so on, down to
a (n) = a (1) + (n - 1) d
so given that a (11) = 57 (so that n = 11), you have
a (1) + 10d = 57 … … … [1]
The sum of the first and fourth terms is 29:
a (1) + a (4) = 29
but we can write a (4) in terms of a (1) :
a (1) + [a (1) + 3d] = 29
which gives us another equation in a (1) and d :
2 a (1) + 3d = 29 … … … [2]
Now solve [1] and [2] :
-2 (a (1) + 10d) + (2 a (1) + 3d) = -2 (57) + 29
-17d = -85
d = 5
a (1) + 10d = a (1) + 50 = 57
a (1) = 7
Then the n-th term of the sequence is given by
a (n) = 7 + 5 (n - 1) = 5n + 2
PLS HELP
Find the volume.
Answer:
V= 160 ft
Step-by-step explanation:
First 10×8×6 then ÷ 3 = 160
Find sin 0
15
A.
B.
c. 15
D.
HELP ASP!!!! PLS?!!!!! #15
Answer:
you need the farmula lol lol lol lol lol lol lol
Step-by-step explanation:
Abigail ordered a 32 oz steak that cost $60.
(cost to weight)
(4x-1)2=11
whats the solution
Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)
Verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C.
Answer:
hello your question is incomplete below is the complete question
verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??
answer : attached below
Step-by-step explanation:
Attached below is the required verification of the conclusion of Green's Theorem
In the attached solution I have proven that Green's theorem ( ∫∫c F.Dr ) .
i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2
A wire is stretched from the top of a 12 ft pole to a point on the ground 9 feet from the base of the pole. Find the length of the wire.
Answer:
with 3 lenght
Step-by-step wexplanation:
Find the volume. Round to the nearest tenth if necessary.
Answer:
120
Step-by-step explanation:
Since you have to find volume you have to multiply all the numbers.
So, 4*5*6 = 120
Answer:
120cm2
Step-by-step explanation:
Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)
de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC,
Can someone please help me
Answer: 120cm squared
Step-by-step explanation: To do this you can cut off one of the 'triangle ends' on the trapezoid and add it to the other side to make a rectangle. Since the top is 10cm, each triangle will have a base of 5cm, so the bases will be 15cm when you subtract 20-5. Then you just have 8 * 15 which is 120cm SQUARED. This may have been a little confusing so i attachecd a diagram.
dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?
Answer:
12$
Step-by-step explanation:
Answer:
$1.20 per pound
Step-by-step explanation:
The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20
The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of19.6 and a standard deviation of 5.0. At Voldemort High, 64 seniors take the test. Assume the individualscores at this school are modeled using the same distribution as national scores. What is the samplingdistribution of the sample average score for this random sample of 64 students
Answer:
The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 19.6 and a standard deviation of 5.0.
This means that [tex]\mu = 19.6, \sigma = 5[/tex]
What is the sampling distribution of the sample average score for this random sample of 64 students?
By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation [tex]s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625[/tex]
What is m ZPQR?
R
(x + 3)
(3x + 5)
S.
Р
Answer:
3 x 2 − 2 x -5
Step-by-step explanation:
Calculate the area of the parallelogram.
Considering the provided information in the given question, we have :
Base of the parallelogram = 5.5 cmHeight of the parallelogram = 2.5 cmWe have to find the area of the parallelogram.
As we know that,
⇒ Area of parallelogram = Base × Height
Substituting the values,
⇒ Area of parallelogram = 5.5 cm × 2.5 cm
⇒ Area of parallelogram = 13.75 cm²
Therefore, area of the parallelogram is [tex] \bf 13.75 \: cm^2 [/tex]
A tour helicopter travels at a constant rate of 80 mph. If the tour takes 2 hours, how far does the helicopter travel?
A. 40 mi.
B. 80 mi.
C. 120 mi.
D. 160 mi.
Answer:
D
Step-by-step explanation:
80 miles per hour, each hour it will travel 80 miles so for two hours tou do
80 x 2 = 160
Answer:
D
Step-by-step explanation:
80x2=40
it's just simple multiplecation but then again I cant spell multiplication so I mean
A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?
Answer:
We Do not have enough evidence
Step-by-step explanation:
H0 : σ² ≤ 1.1
H0 : σ² > 1.1
The test statistic (X²) :
χ² = [(n - 1) × s²] ÷ σ²
n = sample size, = 20
s² = 1.6
σ² = 1.1
α = 0.01
χ² = (19 * 1.6) / 1.1
χ² = 27.64
Pvalue :
Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19
Pvalue = 0.091
If Pvalue < α ; Reject H0
0.091 > 0.01
Hence, Pvalue > α ; Thus we fail to reject H0.
We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.
1. One of the acute angles of a right triangle is 28°, the other acute angle is?
Answer:
no idea
Step-by-step explanation:
cuz I don't
A store pays $35 for a fish tank. The markup is 20%. What is the selling price?
Help please and thanks <33
Answer:
The 4th one (bottom)
Step-by-step explanation:
[tex]\frac{2}{3}x - 5 > 3\\\frac{2}{3}x > 3 + 5\\\frac{2}{3}x > 8\\x > 8 / \frac{2}{3} \\x > 12\\[/tex]
> sign means an open circle over 12, shaded/pointing to the right. The 4th option is your answer
Quadrilateral K is the image of Quadrilateral K under a dilation
HIiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
hi the answer is 7.3
Step-by-step explanation:
hope it helps you have a good day
IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for
Answer: C. 10x-3
Step-by-step explanation: I got this question correct on Edmentum.
The value of the expression will be 10x – 3. Then the correct option is C.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The function is defined as,
f(x) = 5x² – 3x + 2
Then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]
Substitute the value of the function, then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]
Simplify the equation further, then we have
[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]
Substitute the value of the h = 0, then the value of the expression will be
⇒ 5(0) + 10x – 3
⇒ 10x – 3
Then the correct option is C.
More about the limit link is given below.
https://brainly.com/question/8533149
#SPJ2
What is the value of d/dx sin (2x-Pi/3) at x= Pi
Answer:
1/2 at x=pi
Step-by-step explanation:
d/dx sin(x) = cos(x)
Therefore:
d/dx sin(2pi-pi/3) = cos(5pi/3) = 1/2
how to deal with never being loved after your bf told u he never actually loved you
Answer:
don't lose your hope
think positive
The cost, C, to rent a car for d days is shown in the table. Days (d) Cost (C) 2 $105 4. $195 5 $240 6 $285
Write an equation that represents this function
Answer:
C = 45d + 15
Step-by-step explanation:
105= (45 x 2) + 15
The equation represents the condition of the function as a linear function. Then the linear equation is C = 45d + 15.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The cost, C, to rent a car for d days is shown in the table.
Days (d) Cost (C)
2 $105
4 $195
5 $240
6 $285
Then the linear equation of the given table will be
Let d be the number of days and C be the total cost.
[tex]\rm C - 285 = \dfrac{285-240}{6-5} (d-6)\\\\C - 285 = 45d - 270\\\\45d - C = -15 \\\\C - 45d = 15[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
Tools
Fill &. Sign
Comment
I
Topic: Profit and Loss
Ex: 7a, page no. 92
cost price
12
Q1. A man purchased a dozen pens for Rs 25 each and sold them at Rs 28
each. Find the total profit as well as the profit per cent on the transaction.
Ans. Solution:
Answer:
RS 36
12%
Step-by-step explanation:
Profit = total selling price - cost price
(28 - 25) x 12 = 36
Percentage profit = (profit / cost price) x 100
Cost price = 25 x 12 = 300
(36/300) x 100 = 12%
What is the solution to the to system equations in the graph?
Answer:
b
Step-by-step explanation:
The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer