Office Mac purchases packs of pencils from the Manufacturer for $2.00 and applies a mark-up of 40%. How much do they actually sell the pencils for?
a. $2.00
b. $0.80
c. $2.80
d. $1.20
Answer:
the answer is b
Step-by-step explanation:
because
mark-up= profit
cost * 100%
making it:
40% = 0.80
2.00 * 100%
Jennifer owes her friend $20. What does o mean in this situation?
Answer:
where is the hole question
Step-by-step explanation:
Emilio’s family volunteers at the local soup
kitchen every 30 days. Emilio has swimming
lessons every 9 days. He has both activities
this Saturday. When will he have both
activities again on the same day?
Answer:
Emilio will have both activities again on the same day after 90 days from this Saturday.
Step-by-step explanation:
To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in a number divisible by both 30 and 9.
∵ The multiples of 30 are: 30, 60, 90, 120, ............
∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....
→ The common multiple is 90
∴ The common multiple of 30 and 9 is 90
→ That means the activities will meet again after 90 days from
this Saturday
Emilio will have both activities again on the same day after 90 days from this Saturday.
WILL MARK BRANLIEST Give the equation of a line which is perpendicular to the given line. b y=3x+7
Answer:
y = -1/3 x + 7
Step-by-step explanation:
The constant in the end doesn't matter; what matters is the slope. To find a perpendicular slope, all you have to do is take the reciprocal of the slope and multiply it by -1. As mentioned before, the constant in the end doesn't matter, so the answer could also be y = -1/3x + 10, y = -1/3x -1/2, etc...
Hope this helped.
An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. The lab makes 3 repeated analyses of the specimen. The sample mean result is 0.8708. The true concentration is the mean m of the population of all analyses of the specimen. The standard deviation of the analysis process is known to be LaTeX: \sigmaσ = 0.0068. Is there significant evidence at the 1% level that LaTeX: \muμ is different than 0.86? (assume normality)
Answer:
Decision rule
Reject null hypothesis
Conclusion
There is significance evidence that the true mean is different from 0.86
Step-by-step explanation:
From the question we are told that
The population mean [tex]\mu = 0.86[/tex]
The sample is mean is [tex]\= x = 0.8708[/tex]
The standard deviation is [tex]\sigma = 0.0068[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The sample size n = 3
The null hypothesis is [tex]\mu = 0.86[/tex]
The alternative hypothesis is [tex]\mu \ne 0.86[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }[/tex]
=> [tex]z = 2.751 [/tex]
Generally p- value is mathematically represented as
[tex]p-value = 2 P(z >2.751 )[/tex]
From the z-table
[tex]P(z >2.751 ) = 0.0029707[/tex]
So
[tex]p-value = 2 * 0.0029707[/tex]
=> [tex]p-value = 0.00594 [/tex]
From the obtained question we see that [tex]p-value < \alpha[/tex]
Hence we reject the null hypothesis
if a sample of 35 golfers is taken from a population of 72 golfers the sample mean, x, is the mean of how many golfers scores
Answer: 35
Step-by-step explanation:
The sample mean, denoted by (pronounced "x bar"), represents the average value of a given variable in a sample. In this case, we are trying to find the sample mean of golfers' scores.
To calculate the sample mean, we need to sum up all the individual scores in the sample and divide by the number of golfers in the sample. Given that we have a sample of 35 golfers from a population of 72 golfers, we can conclude that the sample mean, , represents the mean of the scores of these 35 golfers.
Mathematically, the formula for calculating the sample mean is: = (x1 + x2 + x3 + ... + xn) / n where x1, x2, x3, ..., xn represent the individual scores, and n represents the sample size. Therefore, the sample mean, , is the average of the scores of the 35 golfers in the sample. To find the exact value, you would need to know the actual scores of each golfer.
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A cube has a volume of 8 cubic inches. What is the length of each edge of the cube?
Answer:
2in
Step-by-step explanation:
because 2x2x2=8
How do you round each number to the place value of the underlined digit?
Answer:
9. 80, 547.65
10. 135,702.0
PLEASEEEE HELPPPP!!!!!!!
h(x) = 2 - 11
W
ha
- = -5
Answer:
x= 6
Step-by-step explanation:
h ( x ) = x - 11
h ( 6 ) = 6- 11
h = -5
SKILL
Given that one side of an equilateral triangle is 16, what is the area of the triangle?
Answer:
approximately 55.43 or [tex]4\sqrt{192}[/tex]
Step-by-step explanation:
1) draw line down middle of said triangle and split it in half
2) since the area of the triangle is 1/2 b * h we can solve
3) we know that the base is 8 (16 split in 1/2)
4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height
5) a= 8 b= ? c= 16
6) 16^2=256 8^2= 64 256-64=b^2
7) b=[tex]\sqrt{192}[/tex]
8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43
You can check by substituting the numbers back into the Pythagorean theorem and see if they match up
Find the minimum sample size n needed to estimate μ for the given values of c, σ, and E. c=0.98, σ=8.7, and E=
Answer:
The sample size n will be "52".
Step-by-step explanation:
The given values are:
c = 0.98
σ = 8.7
Margin of error
E = 2
[tex]Z_{\frac{\alpha}{2} }=Z_{\frac{0.1}{2} }=1.65[/tex]
For 90% confidence level:
⇒ [tex]n=[\frac{Z_{\frac{\alpha}{2}}\times \sigma}{E} ]^2[/tex]
⇒ [tex]=[\frac{1.65\times 8.7}{2} ]^2[/tex]
⇒ [tex]=51.5165[/tex]
i.e.,
⇒ [tex]n=52[/tex]
I need help please!!!!
Answer:
d
Step-by-step explanation:
Simplify i38.
i
−1
−i
1
The value of ( i )³⁸ will be equal to -1. The correct option is B.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression ( i )³⁸ is the I value of the complex number. The I value of the complex number is equal to the square root of the negative one. The expression will be solved as below:-
( i )³⁸ = (√-1)³⁸
( i )³⁸ = -1
Therefore, the value of ( i )³⁸ will be equal to -1. The correct option is B.
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Thank you guys so much for all the help :)
Answer:
29.2
Step-by-step explanation:
This technique is called the Pythagoras Theorem.
a^2+b^2=c^2
15^2+25^2=c^2
225+625=c^2
850=c^2
Take the square root out of both sides.
c= 29.1547595
Round numbers
c= 29.2
Mark me brainliest if you can. Hope this helps.
help this is overdue
35 <7(2−b) or 13(15b−12)≥21
35 < 7 ( 2-b ) or 13 ( 15b-12)>= 21
35 < 14 - 7b or 195 b - 156 >= 2
35-14<-7b or 195b >= 2 + 156
21 < -7b or 195 b >= 158
b < 21/-7 or b>= 158/195
b < -3 or b >= 158/195
The simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b ≥ 158/195.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
35 < 7(2 − b) or 13(15b − 12) ≥ 21
After simplification:
35 < 14 - 7b or 195 b - 156 ≥ 2 (using distributive property)
35-14<-7b or 195b ≥ 2 + 156
21 < -7b or 195 b ≥ 158
b < 21/-7 or b ≥ 158/195 (division property of equality)
b < -3 or b ≥ 158/195
Thus, the simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b ≥ 158/195.
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Find the value of x in the billiard table
Answer:
x=60
Step-by-step explanation:
It is an equiangulat traingle, so all of the angles will be equal. knowing that the angles of a triangle always add up to 180 degrees, you need to divide 180/3 to find the degrees of each angle.
180/3 = 60
so, x=60
Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am.
It will take her an hour from her home to get to Euston Rail
Station, from where she will get a train to Birmingham.
The train journey from Euston
to Bimingham is an hour and 10 minutes.
Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour.
The meeting venue in Birmingham is a 5-minute walk from the station.
What is the latest time that Annabelle can leave home, if she is to make it on time for
the meeting in Birmingham ?
Show your work.
HELP ME PLEASE!!!
DUE TODAY. THANK YOU SO MUCH.
Answer:
The conference in Birmingham is at 10.30am.
She has to leave at 08.00 am from her home.
Step-by-step explanation:
Because
• Time to get Euston Rail Station is 1 hour so she will be at station at 09.00 am.
• Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. Which means she will get the train at 9.05 am.
• The train journey from Euston to Birmingham is an hour and 10 minutes so she will reach Birmingham station at 10.15 am.
• She will reach the meeting venue in Birmingham at 10.20 am as there is a 5-minute walk from the Birmingham station to meeting venue.
She will reach to meeting time 10 minutes earlier which will allow here to get ready for the meeting.
Note:
If we want to overcome the 10 minutes and she live 8.10 am from here home then she will reach to station at 9.10 am. According to the train timing she will get train at 09.25 am which means at the end she will get late about 10 minutes to reach the venue for the meeting.
Find the 15th term of the geometric sequence 1, -4, 16, ...
Answer:
268,435,456
Step-by-step explanation:
Multiply by -4
х2 + 3x = 8
Write the quadratic equation in standard form
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
The value of m varies inversely as the square of n. When n = 3 m = 6.
What is the positive value of n when m = 13.5?
(I already know C. is wrong)
A. 18
B. 2
C. 9 XXXX
D. 4
Answer:
B.]2
Step-by-step explanation:
The required positive value of n is 2. Hence, option B is correct.
Important information:
m varies inversely as the square of n.Whem n = 3, then m = 6.Inverse proportion:It is given that m is inversely proportional to the square of n. So,
[tex]m\propto \dfrac{1}{n^2}[/tex]
[tex]m=\dfrac{k}{n^2}[/tex] ...(i)
Where, k is the constant of proportionality.
Substitute m = 6 and n = 3 in the above equation.
[tex]6=\dfrac{k}{3^2}[/tex]
[tex]6=\dfrac{k}{9}[/tex]
[tex]6\times 9=k[/tex]
[tex]54=k[/tex]
Substitute this value in (i).
[tex]m=\dfrac{54}{n^2}[/tex]
Substitute m = 13.5 in the above equation.
[tex]13.5=\dfrac{54}{n^2}[/tex]
[tex]n^2=\dfrac{54}{13.5}[/tex]
[tex]n=\pm \sqrt{4}[/tex]
[tex]n=\pm 2[/tex]
Therefore, the required positive value of n is 2. Hence, option B is correct.
Find out more about 'Inverse proportion' here:
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are the number 25 and 27 twin primes or co prime? why?
Answer: twin primes
Step-by-step explanation: 27 is 2 more then 25, therefore, they are twin primes.
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?
A $2.89
B $2.97
C $3.06
D $3.13
Answer:
B
Step-by-step explanation:
inverse of a*b=ab/2
ab/2=a*b
i think if not please let me know
A rectangle has an area of 352 square feet. Its widih is ten feet less than twice the length Find the measures of the length and width of the rectangle.
Answer:
The Length is 16.
The width is 22.
Step-by-step explanation:
[tex]Area=Width*Length\\352=(2L-10)*(L)\\352=2L^2-10L\\0=2L^2-10L-352\\x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\b=-10; a=2; c=-352\\ x=\frac{10+/-\sqrt{100-4(-352)*(2)} }{2*2} \\x=\frac{10+/-\sqrt{100+2816)} }{4}\\x=\frac{10+/-\sqrt{2916)} }{4}\\x=\frac{10+/-54 }{4}\\x=64/4=16[/tex]
Evaluate
5
9
÷
5
18
jjijijij
kok
Answer:
i cant even see the words
Step-by-step explanation:
sorry i cant help
I need help!! Thank you
Answer:
A. is correct so, -5
Step-by-step explanation:
Have a good day.
Alice made the conjecture 5x = 30 and x = 5. Which of the following is true to her conjecture?
O True, x = 5
O True, x = -6
O False x = -5
O False, x = 6
Answer:
False, x=6
Step-by-step explanation:
5x=30
Divide 5 on both sides
5/5 leaves x
30/5=6
Bring down x
x=6
Which situation can be represented by the inequality 155 > 12x + 100 ?
Juanita saves $15 each week. Dan has already saved $100 and saves $12 each week. When
will Juanita have less money than Dan?
O Juanita saves $12 each week. Dan has already saved $100 and saves $15 each week. When
will Juanita have less money than Dan?
Juanita saves $15 each week. Dan has already saved $100 and saves $12 each week. When
will Juanita have more money saved than Dan?
Juanita saves $12 each week. Dan has already saved $100 and saves $15 each week. When
will Juanita have more money saved than Dan?
No
Answer:
What is the denotative meaning of “electrified fence”?
✔ a fence with an electric current
What is the connotative meaning of “electrified fence” in the passage?
✔ something dangerous and painful
What does the use of this phrase reveal about how the author views communism?
✔ She believes that communism is oppressive.
Step-by-step explanation:
trast me that the right answerWhich expression correctly represents “six more than the product of five and a number, decreased by one”?
6 + 5 n minus 1
6 + 5 + n minus 1
6 + 5 (n minus 1)
(6 + 5) n minus 1
Answer:
its b
Step-by-step explanation:
What are the 2 things we look for when trying to decide if two figures are scaled copies?
if the angles are the same, and side lengths are equally decreased or increased (depending if you are scaling up or down)