Answer:
0.321
Step-by-step explanation:
32.1 / 100 = 0.321 = [tex]\frac{321}{1000}[/tex]
The decimal equivalent of 32.1% is 0.321.
Converting a percentage to a decimal is a breeze.
To convert 32.1% to its decimal equivalent, all you have to do is divide the percentage value by 100.
In this case,
it would be 32.1 ÷ 100 = 0.321.
So, the decimal equivalent of 32.1% is 0.321.
Converting percentages to decimals is a simple concept that allows us to represent numbers in different form.
It's like translating one language into another.
By dividing the percentage by 100, we scale it down to a decimal representation.
Learn more about the percent visit:
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Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!
Find x and y thank you for you’re help
Answer:
y = 18
x = 15.588
The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?
Answers:
A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down
Answer:
Clockwise rotation
Step-by-step explanation:
Took the test, the other answer here was incorrect
PLEASE HELP ME FAST, I ASKED THIS ALREADY AND ALL I GOT WAS ONE OF THOSE SCAM LINKS :( IF YOU GIVE AN EXPLANATION I CAN GIVE YOU BRAINLIEST!
Two angle measures in a triangle are 47° and 43°. What type of triangle is it?
Also, I just wanted to say that I can only give brainliest if two people answer. Thank you!
Answer:
Right triangle
Step-by-step explanation:
Answer:
Right triangle
Step-by-step explanation:
To find the third angle, we add the two known angles.
47 + 43 = 90
The sum of all the angles of a triangle is always 180.
Therefore, we subtract 90 from 180 to find the third, unknown angle.
180 - 90 = 90
Because 90 degrees is the third angle, and 90 degrees is a right angle, this is a right triangle.
Hey can someone help me measure these angles
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
By definition of conditional probability,
P(A | B) = P(A and B) / P(B)
so
P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29
Water in a 14mm diameter pipe flows at 2m/s. How many liters flow along the pipe in 1 minute
Answer:
The flow rate will be say around 10000 liters per hour. Or 180 liters per minute.
Step-by-step explanation:
Help pls fast ....................
Answer:
its A. 5
Step-by-step explanation:
5/10 is also known as 1/2 so 5/10 is equal to 1/2
May I have some help with this please?
f(x) = |7m + 4| = 1
First equation by taking positive modules
7m + 4 = 1
7m = -3
m = -3/7 . Ans.
Second equation by taking negative modules
-7m - 4 = 1
-7m = 5
m = -5/7 . Ans.
∴ m = [ -5/7 U -3/7 ] Ans .
HELP FAST PLZ
The same house costing $500,000 with the 15-year mortgage and the APR of
4.5% would have what amount for its first month's principal payment?
Answer:
Step-by-step explanation:
How much would the mortgage payment be on a $500K house? Assuming you have a 20% down payment ($100,000), your total mortgage on a $500,000 home would be $400,000. For a 30-year fixed mortgage with a 3.5% interest rate, you would be looking at a $1,796 monthly payment.
The LCM of 5 and 6 is ______. Numerical Answers Expected!
Answer:
30
Step-by-step explanation:
Answer:
30.
Step-by-step explanation:
2 x 3 x 5 = 30
What is the value of 3x + 5y, when x = 12 and y = 4? 24 А B В 48 C 56 D 72
Answer:
C is the answer
Step-by-step explanation:
All you have to do is plug 12 in for x and 4 in for y
3(12) + 5(4) = solve
36 + 20 = 56
Hope that helps
Find the product. 2 (-5)
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
a positive times a negative is a negative number
and 2 x 5 is 10
so it`s -10
Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18
Answer:
The answer is C, x = 7.
Step-by-step explanation:
3x + 7 = 28
-7. -7
3x = 21
/3. /3
x = 7
Which of the following are not parts of a pyramid? diameter, altitude, radius, lateral edges, vertex.
Answer:
Radius and diameter are not part of a pyramid
Plzzzzzz helppppp meeee !!!
ABC is similar to FED. Answer the questions to find the length of DF.
1. Which side in AFED does AB in AABC correspond to?
2. Which side of FED does CB in ABC correspond to?
3. Which side of FED does AC in the ABC correspond to?
4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.
5. What is the length of side DE? Show how you found the length.
6. Use the Pythagorean theorem to find the length of side FD. Show your work.
Answer:
Corresponding side of AB is FE
Corresponding side of CB is DE
Corresponding side of AC is FD
[tex]k =2[/tex]
[tex]DE = 6[/tex]
[tex]FD=10[/tex]
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]
See attachment for triangles
Solving (a): Corresponding side of AB
Going by the names of the triangle, the corresponding sides are:
AB and FE; CB and DE; AC and FD
Hence, the corresponding side of AB is FE
Solving (b): Corresponding side of CB
This has been solved in (a) above.
The corresponding side of CB is DE
Solving (c): Corresponding side of AC
This has been solved in (a) above.
The corresponding side of AC is FD
Solving (d): Scale factor from ABC to FED
To do this, we simply divide the lengths of corresponding sides.
The scale factor k is:
[tex]k = \frac{FE}{AB}[/tex]
[tex]k = \frac{8}{4}[/tex]
[tex]k =2[/tex]
Solving (e): Length of DE
We make use of the scale factor calculated in (d) above
[tex]k = \frac{DE}{CB}[/tex]
[tex]2 = \frac{DE}{3}[/tex]
[tex]DE = 2 * 3\\[/tex]
[tex]DE = 6[/tex]
Solving (f): Length of FD
Using Pythagoras:
[tex]FD^2 = DE^2 + EF^2[/tex]
[tex]FD^2 = 6^2 + 8^2[/tex]
[tex]FD^2 = 100[/tex]
[tex]FD = \sqrt{100[/tex]
[tex]FD=10[/tex]
Mrs. Wilson Shared 63 stickers equally among 4 girls and 5 boys.How many stickers were in each share?
Answer:
7 stickers for each kid
Step-by-step explanation:
If we roll 40 times, how many rolls would you expect to win?
Answer:
what
Step-by-step explanation:
ok first of all roll what. If its a coin you will expect to win 20 times . if its a dice than it will be around 6.67 times.
Darren has traveled
2/3
of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel?
Answer:
The answer is 7 miles
Step-by-step explanation:
2/3 × 21 = 14
21-14 = 7
x
What are the perimeter and area
of a square with side length of 12 in.?
A. P= 24 in., A = 24 in.?
B. P= 144 in., A = 48 in.2
O
C. P = 24 in., A = 144 in.2
O
D. P= 48 in., A = 144 in.2
Answer: P = 48 in, A = 144 in.2
Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to fill it with dirt. She needs to find the volume of the garden to know how much dirt to buy.
9 cubic feet
10 cubic feet
98 cubic feet
107 cubic feet
Answer:
9 cubic feet
Step-by-step explanation: You multiply them all then divide 9 by the greatest number that fits in 107I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
For Howards science experiment he needs 69 blocks that each have a mass of 0.5 kilograms. Is the total mass of the blocks 3.45 kilograms, 34.5 kilograms, or 345 kilograms?
What is the solution set for this inequality?
-8x + 32 -16
x < 6
x > 6
x > -2
x < -2
Answer:
x>-2
Step-by-step explanation:
-8x+32-16<0
-8x<16
divide both sides by -8
x>-2
that's because when you divide by a negative your inequality sign changes
Find the measure of <4.
{{
24
158°
KE
* 4 = [?]
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
Where does the graph of cosine begin?
9514 1404 393
Answer:
wherever you want it to
Step-by-step explanation:
The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.
The sum of 9 and a number is less than 12. Which of the following inequalities expresses the solutions ?
10111011/111 binary division
Answer:
91090.1891892
Step-by-step explanation:
rounded it would be 91090
The list shows the number of pages in various novels: 286,295,307,241,396,368 what is the range
Answer:
155
Step-by-step explanation:
You must first subtract the lowest number (241) from the highest number (396) Then you get 155! I hope this helps!