Answer:
164/21
Step-by-step explanation:
82÷10 1/2
82÷21/2
82×2/21
164/21
So the Answer is 164/21
The value of the division of the 82 by 10¹/₂ is 164/21.
The mixed number (10 1/2) can be changed into an improper fraction in order to divide 82 by it. In order to do this, we multiply the whole number (10), by the fraction's denominator (2), and then add the numerator (1).
This gives us 10 x 2 + 1 = 21.
So, 10 1/2 can be written as the improper fraction 21/2.
To divide 82 by 21/2, we can multiply 82 by the reciprocal of 21/2. The reciprocal of a fraction is found by flipping the numerator and the denominator.
Therefore, the reciprocal of 21/2 is 2/21.
Multiply 82 by 2/21:
82 x (2/21) = 164/21.
So, 82 divided by 10 1/2 is equal to 164/21.
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What is the orders pair that is a solution to this equation, y=x+2
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)
To estimate the average education level, in years, of residents in a certain county, a marketing team draws a random sample of 100 residents. Their education level averages to about 12.5 years; the standard deviation is about 2.8 years. The team estimates the average education level of all the residents of that county to be 12.5 years with what margin of error, for approximately 90% confidence?
Answer:
The margin of error is [tex]E = 0.4606 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 12.5 \ years[/tex]
The standard deviation is [tex]\sigma = 2.8 \ years[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E =1.645* \frac{ 2.8 }{\sqrt{100} }[/tex]
=> [tex]E = 0.4606 [/tex]
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours? A y=55x+190 B y=55x+45 C y=45x+190 D y=45x+55
Answer:
The linear function that models the charge for hiring the technician for x hours is y=45*x + 55
Step-by-step explanation:
The linear function is defined by the equation
f(x) = mx + b or y = mx + b
where m is the slope of the line and b is the y-intercept.
In this case you want to represent a linear function that models the charge for hiring the technician for x hours, that is, y represents the charge for hiring the technician and x the number of hours.
Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the equation of the line first knowing the slope m by:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
In this case, the points are:
(x1,y1)= (3,190)(x2,y2)= (7,370)So:
[tex]m=\frac{370-190}{7-3}[/tex]
Solving:
m=45
To obtain the value of b, once you have replaced the value of m in the equation, you must substitute the values of x and y for the values of the coordinates of one of the points, and solve for b to obtain its value. In this case you replace the value of point 1:
[tex]y=45*x+b[/tex]
[tex]190=45*3+b[/tex]
And you get:
190= 135 + b
190 - 135= b
55= b
So, the linear function that models the charge for hiring the technician for x hours is y=45*x + 55
We want to find a linear equation that models the charge for hiring the technician for x hours.
The correct option is D, the equation is:
y = ($45/h)*x + $55
We know that a general linear equation is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we have two points, one given by:
(3 hours, $190)
The other given by:
(7 hours, $370)
Then the slope is given by:
[tex]a = \frac{\$ 370 - \$ 190}{7h - 3h} = \$ 45/h[/tex]
This means that he charges $45 per hour.
Replacing that in the general equation we get:
y = ($45/h)*x + b
To find the value of b, we use the fact that he charges $190 for 3 hours, then we can solve:
$190 = ($45/h)*3h + b
$190 = $135 + b
$190 - $135 = b = $55
Then the equation is:
y = ($45/h)*x + $55
So the correct option is D.
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The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000
Answer:
800
Step-by-step explanation:
1:5 and 1:40000
40000/5 is 800
Actual length is 800.
Hope this helps :D
The GCF of 26 39 and 65
Scenarios can be translated into
Answer:
can you please describe it more
Step-by-step explanation:
The probability that a randomly selected 2 2-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0.98861. (a) What is the probability that two randomly selected 2 2-year-old male garter snake garter snakes will live to be 3 3 years old? (b) What is the probability that seven seven randomly selected 2 2-year-old male garter snake garter snakes will live to be 3 3 years old? (c) What is the probability that at least one of seven seven randomly selected 2 2-year-old male garter snake garter snakes will not live to be 3 3 years old? Would it be unusual if at least one of seven seven randomly selected 2 2-year-old male garter snake garter snakes did not live to be 3 3 years old?
Answer:
a. [tex]Probability = 0.97735[/tex]
b. [tex]Probability = 0.92294[/tex]
c. [tex]P(At\ Least\ One) = 1[/tex]
No, it is not unusual if at least 1 lives up to 3.
Step-by-step explanation:
Given
Represent the probability that a 2 year old snake will live to 3 with P(Live);
[tex]P(Live) = 0.98861[/tex]
Solving (a): Probability that two selected will live to 3 years.
Both snakes have a chance of 0.98861 to live up to 3 years.
So, the required probability is:
[tex]Probability = P(Live)\ and\ P(Live)[/tex]
[tex]Probability = 0.98861 * 0.98861[/tex]
[tex]Probability = 0.9773497321[/tex]
[tex]Probability = 0.97735[/tex] --- Approximated
Solving (b): Probability that seven selected will live to 3 years.
All 7 snakes have a chance of 0.98861 to live up to 3 years.
So, the required probability is:
[tex]Probability = P(Live)^n[/tex]
Where [tex]n = 7[/tex]
[tex]Probability = 0.98861^7[/tex]
[tex]Probability = 0.92294324145[/tex]
[tex]Probability = 0.92294[/tex] --- Approximated
Solving (c): Probability that at least one of seven selected will not live to 3 years.
In probabilities, the following relationship exist:
[tex]P(At\ Least\ One) = 1 - P(None).[/tex]
So, first we need to calculate the probability that none of the 7 lived up to 3.
If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861
This gives:
[tex]P(Not\ Live) = 0.01139[/tex]
The probability that none of the 7 lives up to 3 is:
[tex]P(None) = P(Not\ Live)^7[/tex]
[tex]P(None) = 0.01139^7[/tex]
Substitute this value for P(None) in
[tex]P(At\ Least\ One) = 1 - P(None).[/tex]
[tex]P(At\ Least\ One) = 1 - 0.01139^7[/tex]
[tex]P(At\ Least\ One) = 0.99999999999997513055642436060443621[/tex]
[tex]P(At\ Least\ One) = 1[/tex] ---- Approximated
No, it is not unusual if at least 1 lives up to 3.
This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years
How do I find the lcm of a number .
Can you please explain to me
plzzz help
find the slope
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
Solve the equation . Show your work
Answer:
x = -1
Step-by-step explanation:
First you multiply by crossover and you get 3(5-x)=18
Then divide the two wings and you'll get 5-x=6
Then you need to separate the x from the numbers
so you move 5 to the right side and you get -x=6-5
Then you calculate it and you get -x=1
and x= -1
hope it helped <3
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Given the equation
[tex]\frac{5-x}{9}=\frac{2}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}9[/tex]
[tex]\frac{9\left(5-x\right)}{9}=\frac{2\cdot \:9}{3}[/tex]
[tex]5-x=6[/tex]
[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]
[tex]5-x-5=6-5[/tex]
[tex]-x=1[/tex]
[tex]x=-1[/tex]
To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.
Answer:
40 Apple juice and 20 Orange juice
Step-by-step explanation:
From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.
*OJ = Orange juice and AJ = Apple juice
plz, help I need for my work.
Answer:
a
Step-by-step explanation:
Please answer fast !!!!!!
Look at the picture
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
es is in order from greatest
2. Which numbers from the list are less than
0.827
- 1.0.15, -1.47. -13.-0.83
2
1
2.
2
F. -, --147, and -0.83
G. -13, -1.47. and -0.83
H. 015, -, and -0.83
0.15, and -1.47
le at the grocery store
Five Omnitie
Answer:
G
Step-by-step explanation:
-1 3/5 < -1.47 < -0.83 < -4/5 < 0.15
Question 17
(01.07 LC)
What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103? (1 point)
Question 17 options:
1)
3.6 ⋅ 106
2)
3.9 ⋅ 106
3)
3.6 ⋅ 109
4)
3.9 ⋅ 109
Answer:
3)
3.6 • 109
Step-by-step explanation:
i think lang naman bat kaylangan ng explanation charr!!
for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent
20 people fit comfortably in a 9 feet by 10 feet area. Use this value to estimate the size of a crowd that is 7 feet deep on BOTH sides of the street along 1,500 inches of a parade route. Please show work c: Merci!
Answer:
389 people
Step-by-step explanation:
Step 1
we convert 1500 inches to feet
1 inch = 0.0833 feet
1500 inches = x feet
x = 1500 × 0.0833
x = 125 feet
Step 2
We create a proportion
Since it is on both sides
20/9ft × 10ft = x/7 feet × 125 feet × 2
20/90 = x/1750
Cross Multiply
90 × x = 20 × 1750
x = 20 × 1750/90
x = 35000/90
x = 388.88888889
approximately = 389 people
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test
Jack is two years older than bob. If bob is x years old, what is the sum of jacks age and bobs age
Expression 2(x+1) represents the sum of bob and Jacks age.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Bob is x years old,
Jack is two years older than bob=x+2
we need to find the sum of jacks age and bobs age
x plus x plus two
x+x+2
Two times of x plus two
2x+2
Take two as common, two times of x plus one
2(x+1)
Hence expression 2(x+1) represents the sum of bob and Jacks age.
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Graph f(x)=8+2x. Then find the value of f(x) when x=1/2
Answer:
9
Step-by-step explanation:
f(1/2)=8+2(1/2)
f(1/2)=8+1
f(1/2)=9
Answer:
f ( 1/2 ) = 9
Step-by-step explanation:
Step 1:
f ( x ) = 8 + 2x Function
Step 2:
x = 1/2 Given
Step 3:
f ( 1/2 ) = 8 + 2 ( 1/2 ) Input x value
Step 4:
f ( 1/2 ) = 8 + 1 Multiply
Answer:
f ( 1/2 ) = 9
Hope This Helps :)
Which dimensions cannot create a triangle?
three angles measuring 254, 650, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
What is the length of z? (Round to the nearest tenth)
Answer:
z = 10.8
Step-by-step explanation:
[tex]9^{2} + 6^{2} = c^{2}[/tex]
81 + 36 = [tex]c^{2}[/tex]
117 = [tex]c^{2}[/tex]
c = [tex]\sqrt{117}[/tex]
c = 10.8
c = z
Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.
Answer:
[tex]\frac{8}{6}=1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{2}-2\frac{1}{6}[/tex] Fractions cannot be added or subtracted unless they have the same denominator (bottom number)
[tex]\frac{7}{2}-\frac{13}{6}[/tex] Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])
[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex] In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction top and bottom by 3.
[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex] This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.
[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex] [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]
PLEASE HELP!!!!! PEOPLE ARE GETTING THEM WRONG FOR ME!!!
Answer:
18 lawns
Step-by-step explanation:
Lets take the number of lands that would be mow(ed) in 36 hours as x
Hence,
[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]
Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?
Answer:
18 days
Step-by-step explanation:
1 cups=3 days
2 cups=6 days
3 cups=9 days
4 cups=12 days
5 cups=15 days
6 cups=18 days
There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.
Answer:
6 teams
Step-by-step explanation:
They can only make 5 teams with 8 kids on each. 1 child will remain
What number is 0.001 more than 3.9?
Answer:
3.901
Step-by-step explanation:
Add 0.001 to 3.9.
Answer:
3.901
Step-by-step explanation:
were becca and celia both correct or both wrong?
where's the problem? lol
Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to calculate these statistics; simply state how the means and the standard deviations compare.
A)
1) 3, 5, 5, 5, 8, 11, 11, 11, 132) 3, 5, 5, 5, 8, 11, 11, 11, 20B)1) -20, 0, 0,0,15, 25, 30, 302) -40, 0,0, 0,15, 25, 30,30
C)
1) 0,2,4,6,8,10
2) 20, 22, 24, 26, 28, 30
D)
1) 100, 200, 300, 400, 500
2) 0, 50, 300, 550, 600
Answer:
hfiwadhcase9iskoalsuhc;AJDSLASHDOIAWNHEOJOSED
Step-by-step explanation:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????