Step-by-step explanation:
Which do you enjoy the most?
The production of a certain pist Increase from
50,000 units to 89000 units in 5 years . If
the production increase uniforormuly - What
Increase in production:
is the Annual
9514 1404 393
Answer:
7800 units per year
Step-by-step explanation:
The increase over 5 years is ...
89,000 -50,000 = 39,000 . . . . units
Then the increase per year is ...
(39,000 units)/(5 years) = 7,800 units/year
The diagram shows a small weight is swinging backwards and forwards on the end of a string. The time for one swing is proportional to the square root of the length of the string. If the length is 64 cm, the time of one swing is 1.6 s. Work out the time of one swing if the length is 144 cm.
Answer:
2.4 seconds
Step-by-step explanation:
It is given that,
The time for one swing is proportional to the square root of the length of the string.
[tex]T\propto \sqrt{L}[/tex]
or
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}}[/tex] ....(1)
We have,
L₁ = 64 cm, T₁ = 1.6 s, L₂ = 144 cm, T₂ = ?
Substitute all the values in formula (1).
[tex]T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.6}{\sqrt{\dfrac{64}{144}}}\\\\T_2=2.4\ s[/tex]
So, the new time period of the simple pendulum is 2.4 seconds.
unit rate for $128 for food for 16 dogs please its friday i need this
Answer:
Step-by-step explanation:
Unit rate = 128 ÷ 16 = 8$
Answer:
$8 if it's wrong i'm sorry.
A city garden club is planting a square garden. They drive pegs into the ground at each corner and tie strings between each pair. The pegs are spaced so that WX ≅ XY ≅ YZ ≅ ZW . How can the garden club use the diagonal strings to verify that the garden is a square? Complete the explanation.
e23
Because both pairs of opposite sides of the quadrilateral garden are congruent, the garden is a parallelogram. The garden is a
(select)
, because all four sides are congruent. If it can be proven that it is also a
(select)
, then the garden is a square. So, if the diagonals
(select)
, then the garden is a square. The club members can measure the lengths of the diagonals.
Answer:
first blank is "rhombus"
second blank is "rectangle"
third blank is "are congruent"
Step-by-step explanation:
Which expression is equivalent to 3x + 6
Answer:
3(x+2)
High Hopes
Barry-
WORKSHEET-2
7. The natio of the cincumference of the diameter is
2. The distance around a circular region is known as it's
3. Find the area and circumference of circle whose radius is 35 cm
Сло
=2
= 22
Cincumference
AREA
Answer:
1. [tex]\frac{C}{D}[/tex] = 3.143
2. Circumference
3. Area of the circle is 3850 [tex]cm^{2}[/tex].
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
C = 2[tex]\pi[/tex]r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = [tex]\frac{D}{2}[/tex]
so that,
C = 2[tex]\pi[/tex][tex]\frac{D}{2}[/tex]
C = [tex]\pi[/tex]D
[tex]\frac{C}{D}[/tex] = [tex]\pi[/tex]
= [tex]\frac{22}{7}[/tex]
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x [tex](35)^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x 1225
= 22 x 175
A = 3850
Area of the circle is 3850 [tex]cm^{2}[/tex].
C = 2[tex]\pi[/tex]r
= 2 x [tex]\frac{22}{7}[/tex] x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
Find the surface area Find the total surface area of the rectangular prism. 6 1/2 cm 3 3 cm. Please help fast
Step-by-step explanation:
(3•2)+(3•2)+(6.5•3)+(6.5•3)+(2•6.5)+(2•6.5)
=77
Mr. Foster paid $160 to rent a car for 5 days. If the cost for each day was the same, how much did he pay each day that he rented the car?
Answer is 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
160/5 = 32 because if your paying 160 dollars every week you for 1 month which is v weeks you're paying 640 a month for renting a car so if you divide 640/20 you get 32 and 160 /5 is 32
What is the volume of the paper weight ? Please help !!
Answer:
144 inches squared
the quotient of a number and -5 increased by one is at most 7
Answer:
the quotient of a number (any letter of the alphabet) n(-5) = nx5 = 7
Step-by-step explanation:
Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size
of 6, answer these questions:
Part A: What is the standard deviation of the sampling distribution of x? Show your
work. (5 points)
Part B: What does the sample size need to be if you want the standard deviation of
the sampling distribution of x to be 0.325? Show your work.
Answer:
A) standard deviation of the sampling distribution of x is 0.5307
B) the sample size needs to be 16, if you want the standard deviation of the sampling distribution of x to be 0.325
Step-by-step explanation:
Given that;
Population mean μ = 53.7
standard deviation σ = 1.3
sample size n = 6
Sampling distribution of x" follows Normal distribution
x" η N ( μ_x" =μ, σ_x"= σ/√n)
A)
standard deviation of the sampling distribution of x
⇒X" = σ_x" = σ/√n
we substitute
= 1.3/√6
= 1.3 / 2.4494
= 0.5307
Therefore standard deviation of the sampling distribution of x is 0.5307
B)
if σ_x" = 0.325
⇒ σ/√n = 0.325
we substitute in the value of σ
⇒ 1.3/√n = 0.325
√n = 1.3 / 0.325
√n = 4
n = 4²
n = 16
Therefore the sample size needs to be 16, if you want the standard deviation of the sampling distribution of x to be 0.325
Write an equation for the nth term of the arithmetic sequence 37, 29, 21, 13, ....
An equation for the nth term of the arithmetic sequence is an
Answer:
n= 37 -8n
the first n is the end result, the second in the equation is the __ number, the nth number
Step-by-step explanation:
3x+8=35 Show your work
Answer:
x=9
Step-by-step explanation:
So first subtract 8 on both Sides
3x+8-8=35-8
3x=27
Now divide 3 on both sides to isolate the variable x
x=9
So x=9
Answer:
so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9
3x+8=35
3x=35 - 8 = 27
3x = 27
3x divided by 27 = 9
Step-by-step explanation:
Ms. Davis is doing an activity with her statistics students where she gives them a 20-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 5 possible choices, 1 of which is correct. What are the mean and standard deviation of the number of questions that each student gets correct?
Answer:
Average: 4
Standard Deviation: 0
Step-by-step explanation:
Because we don't know how each student did we are going to assume that they all got 20% of the questions right
20% of 20 is 4
Which means that we can assume each student got 4 questions correct
Because all entries are the same the standard deviation is 0
how much does michael jordan make a month
Answer:
he makes about $130 million a year.
Step-by-step explanation:
divide 130,000,000 by 12 and you get 10,833,333.3333. So approx. $10,833,333.30 per month.
Select all that apply
To which sets does -7/8 belong?
irrational numbers
integers
real numbers
rational numbers
whole numbers
natural numbers
NEED HELP FOR HOMEWORK, WILL NAME BRAINLIEST !!
Answer:
1) 4/15
2) 15/15?
Step-by-step explanation:
1) 3/5-1/3
9/15-5/15
4/15
2) 15/15?
A person standing 248 feet from the base of a church observed the angle of elevation to the
church's steeple to be 43. How tall is the church? (Give your answer to the nearest whole number)
How tall is the church?
Answer:
h = 231 feet
Step-by-step explanation:
Given that,
A person standing 248 feet from the base of a church, x = 248 feet
The angle of elevation to the church's steeple to be 43°.
We need to find the tall of the church. Let the length of the church is h. Using trigonometry to find it.
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=248\times \tan(43)\\\\=231.26\ \text{feet}[/tex]
or
h = 231 feet
So, the height of the church is 231 feet.
Use quadratic regression to find the equation of the parabola going through these 3 points.
(-5,13) (0,8) (2,48)
y=[?]x^2+[?]x+[?]
Answer:
3 + 14 + 8
Step-by-step explanation:
7a=21
a=21
The equation of the parabola that goes through the three points is:
y = 3x² + 14x + 8
The points are given as:
(-5,13), (0,8), (2,48)
To find the equation of the parabola that goes through the given three points (-5,13), (0,8), and (2,48) using quadratic regression, we need to fit a quadratic equation of the form y = ax² + bx + c to these data points.
Using the three points, we can set up a system of equations:
13 = a(-5)² + b(-5) + c
8 = a(0)² + b(0) + c
48 = a(2)² + b(2) + c
Simplifying these equations, we have:
25a - 5b + c = 13
c = 8
4a + 2b + c = 48
Solving this system of equations, we find that a = 3 and b = 14, and c = 8.
Therefore, the equation of the parabola that goes through the three points is:
y = 3x² + 14x + 8
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simplify ⁴/7÷(3⅓+2⅘)
Ms.Heinen's desk is 3 feet by 2 feet. What is the perimeter of her desk?
Answer: 10 ft
Step-by-step explanation:
Her desk is a rectangle
Perimeter of a rectangle: 2 ( l + b )
l = 3 ft
b = 2 ft
2 ( 3 + 2 ) = 2 (5) = 10
The perimeter of her desk is 10 ft.
Plz help
!!!!!!!!!!!!!!!!!
Answer:
The car will travel 525 miles on 15 gallons of gas.
Step-by-step explanation:
Given that car can travel 35 miles using 1 Gallon of gas.
so
Unit rate = 35 miles per gallon
Thus,
The number of miles a car can travel in 15 gallons = 15 × 35
= 525 miles
Thus, the car will travel 525 miles on 15 gallons of gas.
the starting point.. On a number line it is 0
Answer:
yes that is correct...
Step-by-step explanation:
814
100,000
If the probability that a person will die in the next year is
probability that the person will not die in the next year?
what is the
Answer:
0.99186 probability that the person will not die in the next year, and the correct option is A.
Step-by-step explanation:
Dying and not dying in that year are complementary events, that is, one of them will happen. This means that the sum of their probabilities is 100% = 1.
The probability of dying is:
[tex]p = \frac{814}{100000} = 0.00814[/tex]
So the probability of not dying is given by:
[tex]P = 1-0.00814 = 0.99186[/tex]
0.99186 probability that the person will not die in the next year, and the correct option is A.
PLEASE!!!!!!!The adjoining figure shows two circles with the same center. The
radius of the larger circle is 10 cm and the radius of the smaller circle
is 4 cm. Find the area of the shaded region.
[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}[/tex]
Step-by-step explanation:Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.
From the figure it's clear that the area of shaded region will be the difference of areas of two circles.
Let the,
Radius of smaller circle be r .Radius of smaller circle be r .Area of shaded region be [tex]\bf Area_{shaded}[/tex][tex]\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2 \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2) \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2] \\\\\bf\implies Area_{shaded} = \pi [ 100cm^2-16cm^2] \\\\\bf\implies Area_{shaded} = \pi \times 84cm^2 \\\\\bf\implies Area_{shaded} = \dfrac{22}{7}\times 84cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}[/tex]
Hence the area of the shaded region is 264 cm².Deandre is going for a run. He runs at a speed of 6.4 miles per hour for two hours. For how many miles does he run?
Please Hurry
What is 0.857142857143 as a Fraction? (Please simplify if possible.)
Answer: I think it's (0.857142857143 as a fraction equals 857142857143/1000000000000)
Step-by-step explanation:
0.857142857143 as a fraction is 7.714285714287/9, which cannot be simplified further.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
To convert 0.857142857143 to a fraction:
Let x = 0.857142857143
Then 10x = 8.57142857143
Subtracting x from 10x gives:
10x - x = 8.57142857143 - 0.857142857143
Simplifying:
9x = 7.714285714287
Dividing by 9:
x = 0.857142857143 = 7.714285714287/9
Therefore, 0.857142857143 as a fraction is 7.714285714287/9, which cannot be simplified further.
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3/5 (divide) 1/2
1.3/10
2.1 1/10
3.1 1/5
Answer:
1 - 0.3 (3/10)
2 - 1.1 (11/10)
3 - 2.2 (11/5)
For 3/5 (divide) 1/2, the answer is 1.2
Step-by-step-explanation:
3/5 = 0.6
1/2 = 0.5
0.6 / 0.5 = 1.2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Eye Color
Hair Color Blue Gray Green Brown Marginal Total
Blond 42 5 21 10 78
Red 12 22 19 12 65
Brown 22 5 12 34 73
Black 9 3 11 64 87
Marginal Total 85 35 63 120 303
As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students’ eye color and hair color. The table contains the survey results.
The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by
(answer)
percentage points. (Round off your answer to the nearest whole number.)
Answer:
18%
Step-by-step explanation:
Divide 64/303.
Divide 9/303.
Subtract the answers and you'll get 18%.
The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by 18.25%
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Given here, according to the survey, the population with Brown eyes & black hair and Blue eyes and black hair is 64 and 9 respectively
Also, the marginal total is equal to 303
therefore, the percentages of the two groups are
Brown eyes & black hair =64/303 × 100
= 21.12%
similarly we can calculate Blue eyes and black hair = 9/303 × 100
= 2.97%
Hence the difference is 21.22% - 2.97% = 18.25% (approx)
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A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price