Answer:
41/5
Step-by-step explanation:
First we change the 8 and 1/5% to 8.2%
Write the fraction down as a number over one = 8.2/1
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
8.2/1 = (8.2 × 10)
(1 × 10) = 82/10
Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.
Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed? If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle. If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle. If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Step-by-step explanation: i hope this helps! :)
The correct statement is (C)
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
So, Using the definition of Pythagoras theorem
the statement would be
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
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Which is typically the only way to purchase a car and receive
a warranty? a. Dealership
b. Auction
c. Used Car lot d. Private Seller.
Find the x-intercept of y = -x - 20
Answer:
(-20, 0)
Step-by-step explanation:
to find x intercept we have to substitute 0 into y and solve for x
0 = -x - 20
rewriting the equation
-x - 20= 0
-x = 20
Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.
Answer:
what is the question?
Step-by-step explanation:
Each week, the Pickering Trucking Company randomly selects one of its 30 employees to take a drug test. Write an application that determines which employee will be selected each week for the next 52 weeks. Use the Math.random() function explained in Appendix D to generate an employee number between 1 and 30; you use a statement similar to:
Answer:
In Java:
import java.util.Random;
public class Main{
public static void main(String args []){
int Employee;
for(int weeks = 1;weeks<=52;weeks++){
Employee = 1 + (int)(Math.random() * 30);
System.out.println("Week "+weeks+" selected employee: "+Employee);
}
}
}
Step-by-step explanation:
This imports the Random package into the program
import java.util.Random;
public class Main{
public static void main(String args []){
Declare employee as integer (represents employee 1 to 30)
int Employee;
Iterate from week 1 to 52
for(int weeks = 1;weeks<=52;weeks++){
Randomly select an employee from 1 to 30 (inclusive)
Employee = 1 + (int)(Math.random() * 30);
Print the selected employee
System.out.println("Week "+weeks+" selected employee: "+Employee);
}
}
}
Could I get some help here
I literally have the iq of a 2nd grader
Answer:
x = 16
Step-by-step explanation:
Supplementary angles = 180
K + L = 180
137 + 3x - 5 = 180
132 + 3x = 180
3x = 180 - 132
3x = 48
x = 48/3
x = 16
24:10 simplified Ratio HELP
Answer:
12:5 is the simplified ratio. Couldn't answer before but here lol
Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?
Answer:
24 gallons
Step-by-step explanation:
set up a proportion and cross-multiply:
g = # gallons
192/4 = g/0.5*
4g = 96
g = 24
*30 minutes = 0.5 hours
A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?
Answer:
$7.33
Step-by-step explanation:
22=3/4x
22/.75=22*4/3=29.3333333
$29.33-$22=$7.33
A discounted from the original price of the Blu-ray disc will be $5.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Cost of a Blu-ray disc = $22
The sale on the cost of a Blu- ray = 25%
Now,
Find the discounted price of a Blu-ray as;
Discounted price = 25% of $22
= 25 x $22 / 100
= $550/100
= $5.5
Thus, A discounted from the original price of the Blu-ray disc will be $5.5.
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Help for 20 points please
Answer:
The Answer is 12 - 15= 129
Step-by-step explanation:
x2−15=129
Step 1: Add 15 to both sides.
x2−15+15=129+15
x2=144
Step 2: Take square root.
x=±√144
x=12
The National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2626 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.)
Answer:
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47228 , 0.49868)
Step-by-step explanation:
Step(i):-
Given that the National Center for Health Statistics interviewed 5409 adult smokers in 2015
and 2626 of them said they had tried to quit smoking during the past year
proportion
[tex]P = \frac{x}{n} = \frac{2626}{5409} =0.48548[/tex]
Q = 1-P = 1 - 0.48548 = 0.5146
Step(ii):-
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
[tex](P - Z_{\alpha } \sqrt{\frac{PQ}{n} } , P+ Z_{\alpha } \sqrt{\frac{PQ}{n} } )[/tex]
[tex](0.48548 - 1.96 \sqrt{\frac{0.48548 X 0.51452}{5409} } , 0.48548+ 1.96\sqrt{\frac{0.48548 X 0.51452}{5409} } )[/tex]
( 0.48548 - 0.0132 , 0.48548 +0.0132)
(0.47228 , 0.49868)
Final answer:-
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47228 , 0.49868)
[tex] \frac{x}{ \sqrt[5]{y} {}^{} {7} } [/tex]
Answer:
Step-by-step explanation:
Can someone please help me please
Answer:
5
Step-by-step explanation:
the age of three sibling leon,kelly,and jack are in the ratio 3: 5: 6:. the sum of their age is 42 years.how old is kelly?
In a rectangular prism, given a base area of 64 cm2 and a
height of 7.2 cm, what would be the volume of the
figure?
Answer:
46.8 cm^3
Step-by-step explanation:
Solve m/8<4. Graph the solution.
m < 32
open circle to the left
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
18m < 4
Step 2: Multiply both sides by 8.
8 (1/8m) < (8)(4)
m < 32
Help mark brainlist
Answer:
741.415866247
Step-by-step explanation:
What is the area of rectangle PQRS?
A.
20.25 square inches
B.
21.375 square inches
C.
27.00 square inches
D.
42.75 square inches
Answer:
D
Step-by-step explanation:
(4.5+3+2) x4.5 = 42.75
hope this helps
Answer:
D. 42.75 square inches
Step-by-step explanation:
Area = height x width
Height = 4.5 inches
Width = 3 + 4.5 + 2 = 9.5 inches
4.5 x 9.5 = 42.75 square inches
Find the x- and y-intercepts of the graph of x + 3y = 33. State your answers as
whole numbers or as improper fractions in simplest form.
Answer:
x intercept is (33,0)
y intercept is (0, 11)
Step-by-step explanation:
x-intercepts are found when y=0
x + 3(0)=33,,, x=33
y-intercepts are found when x=0
0 + 3y= 33,,, y=11
Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0
Answer:
The Identity Property of Zero, also called the Additive Identity Property, states that if you add 0 to any number, the result will be that number. Likewise, if you subtract 0 from any number, the result will be that number. Believe it or not, this works for all real numbers.
Step-by-step explanation:
What ions combine together to form
water in a neutralization reaction?
Answer: it's H^+ and OH^- ions
Step-by-step explanation:
Huiling bought 18 chicken nuggets.
She ate 6 of them.
What fraction of the chicken nuggets did she eat?
Give your answer in its simplest form.
Answer:
2/3
Step-by-step explanation:
I think that's the answer.
HELP!!! Name the space figure you can form from the net.
Find the value of x that makes A || B.
1
2
B
4
3
5
L2 = 3x – 10 and Z3 = x + 30
x = [ ? ]
Answer:
x=20
Step-by-step explanation:
3x-10=x+30
2x-10=30
2x=40
x=20
Answer:
X=20
Step-by-step explanation:
So their alternate interior angle which is equal
3x-10=x+30
Solve and you would get 20
An online retailer wants to study whether more lenient return policies increase purchasing behaviors. They
select a random sample of 2000 customers who have made purchases in the past year.
They use a random number generator to select 1000 customer account numbers to assign to the treatment
group. The remaining 1000 customers are assigned to the control group.
What type of experiment design is this?
A) randomized block
B) stratified
C) completely randomized
D) marched pairs
E) cluster
Answer: Completely Randomized
Step-by-step explanation:
effect of one primary factor rather than many different variables
As per the question the retailer wants to study the return policy that can increase the buying behavior and selects a random sample of 2000.
He uses matched pair of designs in his experiment design in which participants of the same traits get grouped in pairs. After which within each pair, one participant gets randomly allotted to either the treatment, and the other is assigned to the other part.Hence the option D is correct.
Learn more about the study whether more.
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hi can you please help me with my work please no Link please no Link
Answer:
Its D i did this before cause I do i-Ready to! <3
help with this it is so hard
Answer:
its 4.8
Step-by-step explanation:
i divided 7.5 by 12.5 and got 0.6 and added 4.2 and got 4.8
Answer:
here is your answerrrrrrrrrrr
A play was attended by 348 people,some adults and some children. Admissions for adults was $1.50 and for children 75 cents. The total amount collected was $390. How many adults attended the play?
Answer:
172
Step-by-step explanation:
Let adults be x
and children be y
According to the problem,
x + y = 348 . . . (1)
1.5x + 0.75y = $390. . . (2)
From Eq 1, find the value of x:
x = 348 - y
Put this value in Eq 2:
1.5 ( 348 - y ) + 0.75y = 390
522 - 1.5y + 0.75 y = 390
-1.5y + 0.75y = 390 - 522
-0.75y = -132
y= -132/-0.75
y = 176
Put the value of y in Eq 1
x + 176 = 348
x = 348 -1 176
x = 172
No. of children = 176
No. of adults = 172
in a field
number of sheep : number of cows = 10:3
Zak says,
"There are 10 sheep in the field."
Give a reason why Zak could be wrong.
Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans what fraction of the bag did Craig fill with beans
Answer:
4/6
Step-by-step explanation:
Make 1/3 into 6 as its denominator.
1 x 2 = 2
3 x 2 = 6
Black beans fill up 2/6 of the bag.
Red beans fill up 2/6 of the bag.
Find out what is the fraction both bags fill up altogether.
2/6 + 2/6 = 4/6