Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
What is 7(y-5)+3y=10(y+1)
Answer:
no solution
Step-by-step explanation:
a) (+7) + (+7) + (+7)
express your answer as a forme of multipication.
Answer:
+7 * 3.
Step-by-step explanation:
There are 3 +7's and they are added together which is equal to +7 * 3.
Total is 21.
Find the slope of the line:
80
75
70
65
60
55
50
45
40
35
30
25
20
15
10
S
1
3
6 7 8 9 10
-10 -9 -8 7 6 5 4 3 2 -1
5
10
15
20
Erin and Aimee are each responsible for mowing half of their back yard. the yard is rectangular with dimensions 75 feet by 90 feet. Erin starts mowing the corner, gradually working her way towards the middle by mowing concentric bands around the outside edges. If the mower cuts a three foot wide path, at what point should Erin and Aimee stop mowing?
Answer:
Erin should stop at three and a half rounds.
Step-by-step explanation:
One complete round will mow 954 square feet, the total area that she has to mow 3375 square feet. If she goes around three and a half times, she should be finished and stop. This was quite hard to figure out, and may very well be incorrect in some way, but I hope this helps.
Jordan uses 3 lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does
he use altogether?
Answer:
12 Lemons
Step-by-step explanation:
3 x 4= 12
Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,5) to G (−3,−1).
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
F (5,5) , G (−3,−1)
The distance between them is
[tex] |FG| = \sqrt{( {5 + 3})^{2} + ({5 + 1})^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
10 unitsHope this helps you
Distance formula: d = √(x2-x1)²+(y2-y1)²
= √(x2-x1)²+(y2-y1)²
= √(-3-5)²+(-1-5)²
= √-8²+(-6)²
= √64+36
= √100
= 10
Best of Luck!
y= -2x+34 simplified
To be honest I am not sure
Good Luck Sorry if it is wrong.
Hey there!
[tex]Answer:\boxed{x=\frac{-1}{2}y+17}\boxed{y=-2x+34}[/tex]
[tex]Explanation:[/tex]
[tex]y=-2x+34[/tex]
flip the equation.
[tex]-2x+34=y[/tex] flip the equation.
Now add -34 to both sides of the equation.
[tex]-2x+34+-34=y+-34\\-2x=y-34[/tex] add -34 to both sides of the equation.
In our third/last step, we will divide both sides of the equation by -2.
[tex]\frac{-2x}{-2}=\frac{y-34}{-2}[/tex] divide both sides of the equation by -2.
[tex]x=\frac{-1}{2}y+17[/tex] The answer to your equation.
There is nothing to solve for y because the equation was equal to y.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Simplify: [3(2a)3/2]^2
Answer:
24a³
Step-by-step explanation:
Simplify, then, 2.1 2³ divided by 2¹= 2 (³_¹)= 2²
( 3 . 4³ .2. =24a³.
Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c[/tex]
For the given case, the expression is simplified by using the given rules as:
[tex][3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\[/tex]
[tex][3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3[/tex]
Thus, the simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]
Learn more about exponent here:
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Identify the domain, range and codomain of the graph. Then use the codomain and range to determine whether the function is into.
Answer:
2.5
Step-by-step explanation:
After a 60% reduction, a jacket sold for $20. What was the jackets price before the reduction
Answer:
x-0,6x=20
0,4x=20/:0,4
x=50
Step-by-step explanation:
The original price of the jacket will be $50.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that after a 60% reduction, a jacket sold for $20. The original cost of the jacket will be calculated as below:-
Let the unknown number be x. Form the equation and solve for the value of x.
x-0,6x=20
0,4x=20/:0,4
x=50
Therefore, the original price of the jacket will be $50.
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You have 4 white marbles and 5 black marbles. What would be the ratio for pulling out a black marble from the bag? 5:4 or 5:9?
Can someone help me figure this out? -2(x+8)=6x+8
Answer:
x = -3
Step-by-step explanation:
First, distribute:
-2x - 16 = 6x + 8
Then, switch the numbers to one side, and switch the variables to another:
-2x - 6x = 8 + 16
Then, simplify:
-8x = 24
Finally, divide -8 on both sides:
We got x = -3
And we're done!
What is the factored form of x^2-x-2?
Answer:
[tex](x+1)(x-2)[/tex]
Step-by-step explanation:
You can factor this by grouping.
[tex]x^2-x-2[/tex]
[tex]\left(x^2+x\right)+\left(-2x-2\right)[/tex]
[tex]x\left(x+1\right)-2\left(x+1\right)[/tex]
[tex]\left(x+1\right)\left(x-2\right)[/tex]
What is 1/6 of 10 ?
Answer: 1 2/3
Step-by-step explanation: 1/6 is 0.16666666 so 10x0.166666= one and two thirds
what is -2x+5>11 graphed out on a number line?
Step-by-step explanation:
-2x>11-5
x<6/-2
x<-3
Make sure the circle in the number line isnt coloured in!
There are ten pieces of pizza. Anthony ate 1 16 of the pizza for dinner. He ate 7 20 of the pizza for a bedtime snack. How much of the pizza has he eaten in all?
Answer:4 ⅛ pieces of pizza
Step-by-step explanation:
Get lcm of 16 and 20 which is 80
5/80+28/80=33/80
80/80=10
33/80
33/80×10÷80/80=4⅛
the q is below help me if u can
What is the solution to the inequality in interval notation? |4x+6|≤14
A: [-2,5] B: (-∞, −2] ∪ [5,∞) C: (-∞,-5] ∪ [2,∞) D: [-5,2]
Answer: x>5
Step-by-step explanation: The Absolute Value term is |4x+6|
For the Negative case, we'll use -(4x+6)
For the Positive case, we'll use (4x+6)
-(4x+6) = 14
Multiply
-4x-6 = 14
Rearrange and Add up
-4x = 20
Divide both sides by 4
-x = 5
Multiply both sides by (-1)
x = -5
Which is the solution for the Negative Case
(4x+6) = 14
Rearrange and Add up
4x = 8
Divide both sides by 4
x = 2
x=-5
x=2
Mike received a check for $215. He deposits all the money into his bank account and his new balance is $2,184. What his balance before he made the deposit?
Answer:
2599
Step-by-step explanation:
2,814-215 = 2599
Watermelon is on sale for $4 per pound. How much would 5 pounds cost?
Answer:
20 Dollars
Step-by-step explanation:
4 dollars x 5 dollars = 20 Dollars
hope this helps
Answer:
A five pound watermelon would cost twenty dollars.
Step-by-step explanation: This is multiplication. If you do not understand multiplication it is just like counting 4 five times. So it would be 4,8,12,16,20 and then 20$ is your answer
In right triangle ABC shown below, what is the
degree measure of ZC ?
Answer:
90+30=120
180-120=60 this is degree measure
Explain in your own words how to solve a one-step equation.
Answer:
Solve the problem by taking whats preformed on the variable, inverse it getting the variable by itself.
40 points: how do u calculate this and what is sin, cos and what is the formula
Answer:
B.
Step-by-step explanation:
sin∅ = opposite side over hypotenuse
cos∅ = adjacent side over hypotenuse
To find x, there are multiple ways:
tan72° = 6/x
x = 6/tan72°
cos72° = x/15
15cos72° = x
Given the function h(x)=1/5x-7 find 3•h(60)
Answer:
15
Step-by-step explanation:
First find h (60)
Let x= 60
h(60)=1/5 *60-7
=12-7
= 5
We want to find 3 •h(60)
3 * 5
15
A pet store has 1
15 fish
Answer:
thats a lot of fish
Step-by-step explanation:
owo
The choices are
1. No
2. Yes
Answer:
Yes
Step-by-step explanation:
equal distance from the center on both sides
What is the answer to the equation 3.9x + 0.3 = 12
3.9x + 0.3 = 12
The answer is X=3
Answer:
The answer is X=3
Step-by-step explanation:
Simplify the expression -2(3x-9)
Answer:
-6x+18
Step-by-step explanation:
you multiply -2 by the numbers in the bracket
5+5 get it right and whats 5x2
Answer:
5+5=10 and 5x2=10
Step-by-step explanation:
5+5 would equal 10 because if you have 5 apples and add 5 more you have 10 apples and if you have 5 dollars and you get 5 more dollars for doing chores than you have ten dollars now.
What is true about triangle LMN? Check all that apply.
LM ⊥ MN.
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles.
The triangle is a right triangle.
Answer:
The triangle is isosceles.
Step-by-step explanation:
WHY?:
An Isosceles Triangle will have both 2 equal sides and 2 equal angles.
A Equilateral Triangle will have 3 equal sides and 3 equal angles.
A Scalene angle is when all 3 sides have different lengths.
and
A right triangle will have a 90 degree angle.
In triangle LMN, LM is perpendicular on side MN. So that, the triangle LMN is right angle triangle.
To understand more, check below explanation.
Types of triangle:A triangle whose all three sides has different length known as scalene triangle.
A triangle in which all three sides are equal in length known as equilateral triangle.
A triangle in which two sides are equal are known as isosceles triangle.
A triangle in which one angle is 90 degrees known as right angle triangle.
Since, In traingle LMN, LM is perpendicular on MN. Therefore, LMN is right angle triangle.
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