Answer:
5/9
Step-by-step explanation:
In short, the absolute value of a number turns that number into a positive value no matter what. Here is a small representation:
Negative -> Positive
Positive -> Positive
Since we are working with a negative value, it will turn positive.
Best of Luck!
Solve the inequality for y 2.9 < 5.6+y simplify your answer as much as possible
Answer:
-2.7 < y
Step-by-step explanation:
2.9 < 5.6+y
Subtract 5.6 from each side
2.9-5.6 < 5.6-5.6+y
-2.7 < y
Let two events A and B be independent. Knowing P(A)=0.8 and P(A+B)=0.93. Calculate the probability P(B).
Answer:
Hello,
P(B)=0.65
Step-by-step explanation:
If P(A+B) means P(A∪B)=0.93 then you may read below.
Let's say x=P(B)
A and B being independent, P(A∩B)=P(A)*P(B)=0.8*x
Since P(A∪B)=P(A)+P(x)-P(A∩B) ,
0.93=0.8+x-0.8*x
0.2*x=0.13
x=0.65
Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to send letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
Answer:
Hello,
Answer 26.9
Step-by-step explanation:
[tex]z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}[/tex]
gaurrik had 15 marbles lakhima had 22 marbles and kairuv had 30 marbles how many marbles did they have altogether?
Answer:
67 marbles
Step-by-step explanation:
15+30=45
45+22=67
Step-by-step explanation:
you cannot add some simple numbers ? you don't know how to use a calculator ?
to solve this yourself is way shorter than putting this in here.
15 + 22 + 30 = 67
Question 3 (2 marks)
Reginald is a furniture salesman. He is paid a weekly retainer of $370 plus 4.5% of the
value of furniture he sells. Calculate his income for a week when he sells $67 000 worth
of furniture.
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Answer:
$3385 per week
Step-by-step explanation:
so, he gets $370 plus 4.5% of what he is selling.
$67000 = 100% of selling
1% = 100%/100 = 67000/100 = $670
4.5% = 1% × 4.5 = 670 × 4.5 = $3015
so, he gets $370 + $3015 = $3385 per week
The vertices of a quadrilateral are listed below. A(8,-1), B(13,-1), C(18,-7), D(8,-7) Which of the following is the strongest classification that identifies this quadrilateral? A. The quadrilateral is a rhombus. B. The quadrilateral is a trapezoid. C. The quadrilateral is a square. D. The quadrilateral is a rectangle.
Answer:
A
Step-by-step explanation:
Because of we pur all the points on the Cartesian plane and we "connect" all the points comes a rhombus
SORRY FOR MY BAD ENGLISH BUT I AM ITALIAN
4. Write 3x(x + 4)(x - 1) in standard form.
3x3 + 9x2 - 12x
3x3
- 12x + 9x2
3x3 + 9x2 - 12x + 1
1 - 12x + 9x2 + 3x3
Answer:
i thank the ans id 450
Step-by-step explanation:
Oak street and elm street run parallel to each other. When main street intersects them, it forms exterior 8, measuring 60. What is the measure of 1?
Answer:
0 is the answer measure 1
The area of a square is 64 cm2 then find it's perimeter.
Answer:
32cm
Step-by-step explanation:
The area of sqaure is a^2
Side will be
underroot of 64 =8
Premeter of sqaure is 4a = 4×8 = 32cm
first we need to find length.
here.
Area= 64cm^2
or, 64= l^2
using formula area = length × length
therefore solving we get ,
length = 8 cm.
now,
perimeter = 4l
= 4 × 8 cm.
= 32 cm..........
Find the sum of ∑3/k=0 k^2
Answer:
[tex]14[/tex]
Step-by-step explanation:
Given
[tex]\displaystyle \sum_{k=0}^3k^2[/tex]
Let's break down each part. The input at the bottom, in this case [tex]k=0[/tex], is assigning an index [tex]k[/tex] at a value of [tex]0[/tex]. This is the value we should start with when substituting into our equation.
The number at the top, in this case 3, indicates the index we should stop at, inclusive (meaning we finish substituting that index and then stop). The equation on the right, in this case [tex]k^2[/tex], is the equation we will substitute each value in. After we substitute our starting index, we'll continue substituting indexes until we reach the last index, then add up each of the outputs produced.
Since [tex]k=0[/tex] is our starting index, start by substituting this into [tex]k^2[/tex]:
[tex]0^2=0[/tex]
Now continue with [tex]k=1[/tex]:
[tex]1^1=1[/tex]
Repeat until we get to the ending index, [tex]k=3[/tex]. Remember to still use [tex]k=3[/tex] before stopping!
Substituting [tex]k=2[/tex]:
[tex]2^2=4[/tex]
Substituting [tex]k=3[/tex]:
[tex]3^2=9[/tex]
Since 3 is the index we end at, we stop here. Now we will add up each of the outputs:
[tex]0+1+4+9=\boxed{14}[/tex]
Therefore, our answer is:
[tex]\displaystyle \sum_{k=0}^3k^2=0+1+4+9=\boxed{14}[/tex]
Answer:
14
Step-by-step explanation:
∑3/k=0 k^2
Let k=0
0^2 =0
Let k = 1
1^2 =1
Let k =2
2^2 = 4
Let k = 3
3^2 = 9
0+1+4+9 = 14
look the image below
Answer:
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Does the answer help you?Please choose my answer as a brainliest answer and please rate.It take a few mins to solve your question.
Answer:
V≈696.91
Step-by-step explanation:
V=4
3πr3=4
3·π·5.53≈696.90997
For the partially complete factorization, find the other binomial which will complete the factorization n^2-8n-20=(n+2)(_____)
Answer:
(n-10)
Step-by-step explanation:
Jdjdjdhbejdudjkdff
5
Select the correct answer.
What is this expression in simplified form?
5/2 . 9/6
Answer:
Bro 1st expression is in simplest form and 2nd in simplest is 3/2
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
(5/2)*(9/6)
three can go into the fraction(9/6) giving(3/2)
(5/2)*(3/2)=15/4
mark as brainliest
1. A set is said to be a singleton set,ig
a) n (A)=1
b) n (A)=0
Consider the following three expressions. To be the same what would P, Q, and R have to be
Step-by-step explanation:
Px^2+6x+1=x^2+x^2+Qx+1
P=2 and Q=6
Next, 3x^2-5-(x^2-6x+R/2)=2x^2+6x+1
2x^2-5-R/2+6x=x^2+6x+1
-5-R/2=6, R=-22
whats the perimeter of a squre with a side measurement of 6 in.?
Answer:
The Perimeter is 24 inches
Step-by-step explanation:
Perimeter is all the sides of something added up. All sides on a square are equal so each side is 6 inches
6+6+6+6=24
Part III- Percentage Problems
1. You currently have $4,500 saved in your bank account. You have decided to use $2700.
What percentage of your savings did you use? Show all your work to justify your answer.
2. An organization raises money for students who attend Berkeley College every year.
Currently, they have raised $11,250 which represents 45% of the money they raise.
Determine the amount of money the organization will raise in total. Show all your work
to justify your answer.
The percentage of your savings that I use is 60%
This shows that the amount of money the organization will raise in total is $25,000.
1) Given
Total amount saved = $4500
Amount used = $2,700
Percentage of money used = Amount used/Total amount saved × 100%
[tex]Percentage \ of \ money \ used = \frac{2700}{4500} \times 100\\Percentage \ of \ money = \frac{27}{45} \times 100\\Percentage \ of \ money \ used = \frac{2700}{45} \\Percentage \ of \ money \ used = 60 \%[/tex]
Hence the percentage of your savings that I use is 60%
2) Let the amount of money the organization will raise in total be x
Since the 45% of the money they raise represents $11,250, hence:
[tex]45\% \ of \ x = \$11,250\\0.45x = 11,250\\x = \frac{11250}{0.45}\\ x = 25,000[/tex]
This shows that the amount of money the organization will raise in total is $25,000
Learn more on percentages here: https://brainly.com/question/18811795
look at the image below
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It take a few minutes to solve your question.
what is the scale of factor?
The length of CV is 5 units
The length of C’V’ is 7.5 units
The scale factor is 7.5 / 5 = 1.5
Answer: 1.5
fridays high temp was -1. the low temp was -5. what was the difference between the high and low temps
Answer:
4
Step-by-step explanation:
count up from -5 to -1
so -5,-4,-3,-2,-1 and there are four numbers excluding-5
Which of the following phrases are expressions?
6-1>L,
-6k = -8,
1/4<3/8,
3 + 5
Answer:
-6k = -8 is an expression
A and C are inequalities
D is arithmetic
10-5x=3(x-4)-2(x+7)-------
Answer:
x=6
Step-by-step explanation:
10-5x=3(x-4)-2(x+7)
Distribute
10-5x=3x-12-2x14
Combine like terms
10-5x = x-26
add 5x to each side
10-5x+5x = x+5x-26
10 = 6x-26
Add 26 to each side
10+26 = 6x-26+26
36 = 6x
Divide by 6
36/6 = 6x/6
6 =x
Answer:
[tex]10-5x=3\left(x-4\right)-2\left(x+7\right)[/tex]
[tex]3\left(x-4\right)-2\left(x+7\right)[/tex]
combine like terms:-
[tex]=3x-12-2x-14[/tex]
[tex]3x-2x=x[/tex]
[tex]=x-12-14[/tex]
Subtract -12 -14
[tex]=x-26[/tex]
[tex]10-5x=x-26[/tex]
Subtract 10 from both sides:-
[tex]-5x=x-36[/tex]
Now, subtract x from both sides:-
[tex]-5x-x=x-36-x[/tex]
[tex]-6x=-36[/tex]
Divide both sides by -6:-
[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]
[tex]x=6[/tex]
OAmalOHopeO
describe the translation. y = (x-5)squared +5 - y = (x-))squared +0
In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).
The translation from [tex]y = (x - 5)^2 +5[/tex] to [tex]y = (x - 0)^2 +0[/tex] is to shift [tex]y = (x - 5)^2 +5[/tex] to the left by 5 units and then downward by 5 units
The given parameters are:
[tex]y = (x - 5)^2 +5[/tex]
[tex]y = (x - 0)^2 +0[/tex]
Assume the first point is: [tex]y = (x - 5)^2 +5[/tex]
While the second is: [tex]y = (x - 0)^2 +0[/tex]
The first point is first shifted left by 5 units
The rule to this translation is: [tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex]y' = (x - 5 + 5)^2 + 5[/tex]
[tex]y' = (x - 0)^2 + 5[/tex]
Next, the resulting function is shifted down by 5 units.
The rule to this translation is: [tex](x,y) \to (x,y- 5)[/tex]
So, we have:
[tex]y" = y' - 5[/tex]
This gives:
[tex]y" = (x - 0)^2 + 5 - 5[/tex]
[tex]y" = (x - 0)^2 + 0[/tex]
Hence, the translation from [tex]y = (x - 5)^2 +5[/tex] to [tex]y = (x - 0)^2 +0[/tex] is to shift [tex]y = (x - 5)^2 +5[/tex] to the left by 5 units and then downward by 5 units
Read more about transformations at:
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in chemistry class, 9 Liters of a 40% silver iodine solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
9 L of 40% silver iodine solution contains 0.40 (9 L) = 3.6 L of silver iodine.
x L of a 10% solution contains 0.10 (x L) = 0.1x L of silver iodine.
Mixing these two solutions results in another solution of volume (x + 9) L and containing (0.1x + 3.6) L of silver iodine, which gives it a concentration of 6%.
But this is impossible! Let a < b. You cannot mix two solutions at concentrations of a and b and magically end up with a mixture whose concentration is smaller than a or larger than b, it has to fall somewhere in the middle.
We can still try solving for x to demonstrate this:
(0.1x + 3.6)/(x + 9) = 0.06
0.1x + 3.6 = 0.06 (x + 9)
0.1x + 3.6 = 0.06x + 0.54
0.04x = -3.06
x = -76.5
Nonsense.
Perhaps you meant the target concentration to be 16%? In that case, there is a valid solution:
(0.1x + 3.6)/(x + 9) = 0.16
0.1x + 3.6 = 0.16 (x + 9)
0.1x + 3.6 = 0.16x + 1.44
0.06x = 2.16
x = 36
The distributive property is used to change the following expression from 3(5+6) to 3(5) + 3(6)
Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively
Answer:
17
Step-by-step explanation:
Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.
And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.
Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527
We will find the HCF of 391, 425 and 527 by prime factorization method.
391=17×23425=52×17527=17×31
Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.
So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.
Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply.
Answer:
She did every other Child entering the matinee. Some kids could leave and re-enter, she should have done all of the people there.
Step-by-step explanation:
Also, next time please paste part of the answers there, ;)
Answer:
1. The sample of 40 children is too small to represent all kindergartners.
2. The sample was taken at a specific movie, which will skew data towards that type of movie.
3. The sample is likely to include a lot more girls than boys, since the movie title is “Three Pretty Princesses.”
Step-by-step explanation:
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph.
- The slope of the graph of the function is equal to ___ for x between x = -3 and x = -2.
- The slope of the graph is equal to ___ for x between x = 3 and x =4.
- The greatest value of y is y = ___.
- The smallest value of y is y = ___.
solve for x please help ! (show work)
Answer:
x = -5
Step-by-step explanation:
-(5x-2) = 27
Distribute the minus sign
-5x +2 = 27
Subtract 2 from each side
-5x +2-2 = 27-2
-5x = 25
Divide by -5
-5x/-5 = 25/-5
x = -5
Answer:
X=-5
Step-by-step explanation:
-(5x-2)=27
-5x+2=27
-5x=27-2
-5x=25
x=25/-5
=-5
When I add 45 to a certain number and divide the sum by 2, the result is the same as 5 times the number. What is the number?
Answer:
9
please mark brainliest
Answer:
9
Step-by-step explanation:
When we divide 45 by 2 which is 9, it is 5 times the number.
