Radius of semicircle r = 21 cm
Perimeter of semicircle
= pi*r + 2r
= (22/7)*21 + 2*21
= 22*3 + 42
= 66 + 42
= 108 cm
the mean of monthly salaries of 15 worker of a company is 2930 .A new worker with monthly salary 3138 join the company.Find the new mean monthly salary of 16 workers
=======================================================
Explanation:
S = sum of the salaries of the first 15 employees
S/15 = mean of the 15 salaries
S/15 = 2930
S = 15*2930
S = 43950
The 15 workers salaries add to 43950.
If we add on a new 16th salary of 3138, then the sum bumps up to
S+3138 = 43950+3138 = 47088
This is the sum of the 16 workers salaries. Divide this over 16 to get the new average
47088/16 = 2943
The new mean is 2943
It is larger than the old mean because the 16th salary is larger than the mean. Effectively this new salary pulls on the mean to make it larger. With very distant outliers, the mean is pulled a lot which often causes problems. So this is why the median is a better measure of center in those situations. Either that measure of center, or using a trimmed mean works as well.
A florist is making blue and white flower arrangements. He has 24 blue carnations and 36 red carnations. Each arrangement has the same number of blue carnations and the same number of red carnations. He uses all the flowers to make the greatest number of matching arrangements.
There should be __ total arrangements. ( 2, 4, 6, 12 )
He should include __ blue carnations in each arrangement. ( 2, 4, 6, 12 )
He should include __ red carnations in each arrangement. ( 2, 3, 4, 6 )
Answer:
12 arrangments, 2 blue carnations in each arrangement, 3 red carnations in each arrangment.
Step-by-step explanation:
We can find the gcd of 24 and 36, getting 12.
Therefore, there should be 12 total arrangements.
There are 24 blue carnations:
24 / 12 = 2 blue carnations in each arrangement.
There are 36 red carnations:
36 / 12 = 3 red carnations in each arrangment.
lan buys a two-quart bottle of juice for $6.40. What is the unit rate of the cost of the
juice per fluid ounce?
1 gallon 4 quarts
1 quart 2 pints
1 pint
1 cup = 8 fluid ounces
2 cups
Before you try that problem, answer the question below.
How
many fluid ounces of juice did Ian buy?
For a sale, a store decreases its prices on all items by 25%. An item that costs $120 before the sale now costs $120 - 0,25($120). Use the distributive property to write an equivalent expression for the items cost now
Answer:
[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$120 - 0.25(\$120)[/tex]
Required
Solve using distributive property
[tex]Cost = \$120 - 0.25(\$120)[/tex]
[tex]\$120[/tex] can be rewritten as [tex]1(\$120)[/tex]
So:
[tex]Cost = 1(\$120) - 0.25(\$120)[/tex]
Factorize:
[tex]Cost = \$120(1 - 0.25)[/tex]
Now, we can apply distributive property on the expression;
[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]
Hence, the above is an equivalent expression.
Solving further, we have
[tex]Cost = \$120 - \$30[/tex]
[tex]Cost = \$90[/tex]
A room with poor air quality has a particle concentration of 80 units. A fan removes 50% of the remaining particles each hour. What is the particle concentration, in these same units, in the room after 2 hours?
Answer:
20 units
Step-by-step explanation:
Initial particle concentration = 80 units
Particles removed each hour = 50% of the remaining particles
To find:
Particle concentration after 2 hours = ?
Solution:
Particles removed in 1 hour = 50% of remaining particles
i.e. Particles removed in 1 hour = 50% of initial concentration
Particles removed in 1 hour = 50% of 80 = 40
Particles removed in next 1 hour = 50% of remaining particles
i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour
Particles removed in next 1 hour = 50% of 40 = 20
Total particles concentration removed in 2 hours = 40 + 20 = 60 units
Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours
= 80 - 60 = 20 units
Which statement is true? Group of answer choices 8.01 is a smaller increase in sales then 8.001. A debt of $17 is a larger value than a debt of $20. LaTeX: \frac{2}{3} 2 3 below zero is a lower temperature than 6 below zero. One half an apple is equivalent to 8 fourths apples.
Answer: The only true statement is:
" A debt of $17 is a larger value than a debt of $20."
Step-by-step explanation:
Let's analyze the options:
A) " 8.01 is a smaller increase in sales then 8.001"
Here you can see the difference:
8.01 - 8.001 = 0.009
The difference is positive, then 8.01 > 8.001.
Then as we are talking of increases in sales, the numbers are positive, then we have that 8.01 is a larger increase in sales than 8.001.
B) "A debt of $17 is a larger value than a debt of $20."
A debt is written as a negative number, then:
A debt of $17 is written as -$17, and a debt of $20 is written as -$20.
Then -$17 is a smaller negative number than -$20
-$17 > -$20
Then this statement is true.
C) " 2/3 bellow zero is lower than 6 bellow zero"
ok, 2/3 bellow zero is: -2/3
6 bellow zero is: -6
-2/3 is larger than -6
-2/3 > -6
then -6 is lower than -2/3, the statement is false.
D) "1/2 of an apple is equivalent to 8/4 apples"
Well, here you can do the quotients:
1/2 = 0.5
8/4 = 2
So these numbers are not equivalents.
Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno, de los cuales vendio cinco.¿Cuanta azucar quedo en el costal?
Answer:
Quedan 3 libras de azúcar en el costal.
Step-by-step explanation:
Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:
[tex]x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}[/tex]
[tex]x = 25\,lb[/tex]
Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:
[tex]x = 28\,lb-25\,lb[/tex]
[tex]x = 3\,lb[/tex]
Quedan 3 libras de azúcar en el costal.
The total amount of sugar left in the sack is 3 pounds.
Using the conversion:
1 kg = 2lb
2.5kg =5lb
If she sold 5 pounds out of the total package, the amount of pounds sold will be 5 * 5lb = 25lb.Amount of sugar left in the sack = Total - amount sold
Amount of sugar left in the sack = 28lb - 25lb
Amount of sugar left in the sack = 3lb
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Write the inverse of f (x) = 6x
f -1(x) =
Answer:
f-1(x) = x/6
Step-by-step explanation:
y = 6x
--> x = y/6
rewrite : (substitute x for y and y for x to get the reverse function)
y = x/6
Asif makes a cuboid of plasticine of sides 75cm, 35cm and 21cm. How many such cuboids will he need to form a cube?
Answer:
The number of cuboids that will be needed to form a cube is 2625 cuboids
Step-by-step explanation:
To form a cube, we have;
The length = The height = The depth
The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.
Therefore;
The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;
75 = 5 × 5 × 3
35 = 5 × 7
21 = 3 × 7
Therefore, multiplying 75 by 7, we get;
75 × 7 = 525
Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;
525/35 = 15
525/21 = 25
Therefore, the cube will be;
The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front
The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides
The height of the cuboid will be 25 cuboids with the side 21 cm high
The total number of cuboids is therefore;
7 × 15 × 25 = 2625 cuboids
The number of cuboids that will be needed to form a cube = 2625 cuboids.
Solve 2x2 – 6x + 10 = 0 by completing the square.
Answer:
Step-by-step explanation:
2x^2-6x+10=0
2(x^2-3x)+10=0
2(x-(3/2))^2-9/4)+10=0
2(x-(3/2))^2+10-9/2=0
2(x-(3/2))^2+(20-9)/2=0
2(x-(3/2))^2+11/2=0
2(x-(3/2))^2=-11/2
square is always positive so there is no solution
Suppose you walk down a school hallway at a rate of 5 ft/s, and you reach your destination in 20 seconds. How do you write a function that models this situation, and how do you determine the domain?
Answer:
Step-by-step explanation:
Let's write a equation.
5 ft = 20 seconds
(five feet is reachable in 20 seconds)
Divide both sides by 5.
5/5=1
20/5=4
1 ft = 4 seconds
Let's say the destination is d and f is foot.
d = 4f
1.1.17 QUICK I NEED HELP WILL MARK BRAINLIEST Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. Select all sets in which the number -5/7 is an element. A. integers B. natural numbers C. irrational numbers D. whole numbers E. real numbers F. rational numbers Click to select your answer(s) and then click Check Answer.
Answer:
E. real numbers F. rational numbers
Step-by-step explanation:
-5/7
A. integers no a whole number that is positive or negative, non fractional
B. natural numbers no positive whole numbers, non fractional
C. irrational numbers no non repeating, non terminating decimals, cannot be written as fractions
D. whole numbers no - entire parts non fractional
E. real numbers yes- contains all rational and irrational numbers
F. rational numbers yes- numbers that can be written as fractions
Answer:
E. real numbers
F. rational numbers
(see below)
Step-by-step explanation:
A. integers = number that can be written without a fractional component
NO.
B. natural numbers = a whole, non-negative number.
NO.
C. irrational numbers = a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers.
NO.
D. whole numbers = There is no fractional or decimal part. And no negatives.
NO.
E. real numbers are the numbers which include both rational and irrational numbers. Rational numbers such as integers and fractions.
YES -5/7
F. rational numbers = is a number that can be expressed as the quotient or fraction -5/7 of two integers
YES -5/7
The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value
Answer:
The P-value is 0.0353.
Step-by-step explanation:
We are given the six measurements of a sprinter's reaction time show below;
X = 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds.
Let [tex]\mu[/tex] = mean sprinter's reaction time
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 0.150 seconds {means that the mean sprinter's reaction time is at most 0.150 seconds}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 0.150 seconds {means that the mean sprinter's reaction time is more than 0.150 seconds}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = ~
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{0.939}{6}[/tex] = 0.1565 seconds
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 0.0068 seconds
n = sample of measurements = 6
So, the test statistics = [tex]\frac{0.1565-0.150}{\frac{0.0068}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= 2.341
The value of t-test statistics is 2.341.
Now, the P-value of the test statistics is given by the following formula;
P-value = P( > 2.341) = 0.0353.
{Interpolating between the critical values at 5% and 2.5% significance level}
The graph below shows the eye color for a classroom of students.
Answer:
it is Greater than because blue and green combined equal to 12
Factor the trinomial 5x^2-x-4
Answer:
(5x+4)(x-1)Step-by-step explanation:
[tex]5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)[/tex]
Jones planted s flowers. He planted fewer flowers than Kerry Kerry planted 50 flowers. Write
the expression that shows how many flowers Jones planted.
If there is a picture could you please add it to your question?
It will help me find the correct anwser faster for you!
If have 492.08 how much do you have to save up to get 754 I need this asapppp
Why is 7.8 an irrational number?
Answer: It is a rational number
Step-by-step explanation:
any number that can be written in the form of fraction is rational number (or as the a decimal that has a end or repeating decimal are rational number)
7.8=39/5
Hope this helps!! :)
Please let me know if you have any question
Use the diagram on the right to answer the following
a) Name the circle
b) Name two segments
c) name a ray
d) name an angle whose vertex is point D
Answer:
see below
Step-by-step explanation:
A circle is named by the point in the center.
Circle C
A segment is named by two points on the line.
Segment AD and segment BC
A ray is a part of a line that has a fixed starting point but no end point.
Ray CE → Arrow going from C to E
The vertex is in the middle of the angle name that has three letters
< CDA
i dont understand how to do this
Question #2 Answer: 76
Calculate 4 to the power of 3 and get 64.
64−(−3)381+9≈76
Calculate −3 to the power of 3 and get −27.
64−−2781+9=76
Divide 81 by −27 to get −3.
64−(−3)+9=76
The opposite of −3 is 3.
64+3+9=76
Add 64 and 3 to get 67.
67+9=76
Add 67 and 9 to get 76.
76
---------------------------------------------------------------
Question #3 Answer: -4
Calculate 2 to the power of 4 and get 16.
16−324−12=−4
Divide 24 by 3 to get 8.
16−8−12=−4
Subtract 8 from 16 to get 8.
8−12=−4
Subtract 12 from 8 to get −4.
−4
Which line has a slope of 12 and a y-intercept of 2?
Answer:
This is the picture answer :)
Step-by-step explanation:
The equation of the line with the given slope and y-intercept is y=12x+2.
Given that, the slope of a line=12 and y-intercept=2.
What is the slope-intercept form of the line?Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Where, m=slope and b=intercept.
Now, substitute slope=12 and y-intercept=2 in y=mx+b.
That is, y=12x+2
Therefore, the equation of the line is y=12x+2.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
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What is another name for the set of natural numbers.
Another name for the set of natural numbers are counting numbers.
Find two numbers between 3.456 and 3.457
Answer:
3.4567
3.4568
Step-by-step explanation:
We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.
We need to dive to the ten-thousandths place to get numbers between the two.
Jimmy is celebrating his 16th birthday at Pew-Pew Laser Tag. His parents have budgeted $600 for his birthday party. If the laser tag company charges a $40 clean up fee and $25 per person, find the greatest number of people that Jimmy can invite and still stay in his budget.
Answer:
$600 - $40 = $560
$560/ $25 = 22.4
this means he can have up to a total of 22 people at his party
PLEASE PLEASE HELP VERY FAST
Answer:
y=4
Step-by-step explanation:
66 = 9y + 5y + 7 + 3
66 = 14y +10
subtract 10 from each side
56 = 14y
Divide 56 by 14, and you get 4 = y
I hope this helped!
Solve 2x^2+x=15.!!!!
Isolate the variable by dividing each side by factors that dont contain variables
Answer: x=3
The next model of a sports car will cost 5.8% more than the current model the current model cost 31,000 how much will the price increase in dollars what will be the price of the next model
Answer:
1798 and 32798
Step-by-step explanation:
31000/100=310
310x5.8=1798
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answer:
Step-by-step explanation:
x - 9/12 + 8/12 = 17/12
x - 1/12 = 17/12
x = 18/12= 3/2 = 1 1/2
Value of x = (4 / 3) which makes the given equation true.
What is variable?" Variable is defined as the value which changes as per the condition act on it."
According to the question,
Given equation,
x - (3/4) + (2/3) = (17 / 12)
Convert all fraction into like fractions we get,
x - (3/4) ×(3/3) +(2/3)×(4/4) = (17 /12)
⇒x - (9/12) + (8 /12) = (17 /12)
⇒x - (1/12) = (17 /12)
⇒x = (17/12) +(1/12)
⇒x= (18 /12)
⇒x= (3/2)
Hence, Value of x = (4 / 3) which makes the given equation true.
Learn more about variables here
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On a local sports team 90% of 50 players are right handed. . How many right handed players are there
solve the radical exponents and show your work!
please help me
Answer:
x = 126
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex](x-1)^{\frac{2}{3} }[/tex] - 25 = 0 ( add 25 to both sides )
[tex](x-1)^{\frac{2}{3} }[/tex] = 25 ( raise each side to the power of 3 )
(x - 1)² = 25³ = 15625 ( take the square root of both sides )
x - 1 = [tex]\sqrt{15625}[/tex] = 125 ( add 1 to both sides )
x = 126
Answer:
126, -124
Step-by-step explanation:
The steps
(x-1)²/³ - 25 = 0(x-1)²/³ = 25(x-1)² = 25³(x-1)² = (5³)²x- 1 = ± 125x = 1 ± 125x₁ = 126x₂ = - 124