Answer:
the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
A survey shows that three out of every five teenagers at a particular school with cell phones use text messaging. In a group of 90 teenagers, how many would you expect use text messaging? 34 54 56 150
Answer:
Out of a group of 90 there would be 54 messaging
Step-by-step:
messaging is a weird word
What is the slope of the line ?
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
line segment AB is perpendicular to line segment CD . How many 90° angles are formed by the intersection?
Answer:
4 90 degree angles
A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the exam is graded was modified, with the total score of the four sections on the test ranging from 472 to 528. In spring 2015, the mean score was 500.0 with a standard deviation of 10.6.
Required:
What are the median and the first and third quartiles of the MCAT scores?
Answer:
The median of the MCAT scores was of 500.
The first quartile of MCAT scores was of 492.845.
The third quartile of MCAT scores was of 507.155.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The mean score was 500.0 with a standard deviation of 10.6.
This means that [tex]\mu = 500, \sigma = 10.6[/tex]
Median:
In a normal distribution, the median is the same as the mean, so the median of the MCAT scores was of 500.
First quartile:
This is the 100*(1/4) = 25th percentile, which is X when Z has a pvalue of 0.25. So X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = -0.675*10.6[/tex]
[tex]X = 492.845[/tex]
The first quartile of MCAT scores was of 492.845.
Third quartile:
This is the 100*(3/4) = 75th percentile, which is X when Z has a pvalue of 0.75. So X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = 0.675*10.6[/tex]
[tex]X = 507.155[/tex]
The third quartile of MCAT scores was of 507.155.
Simplify
8sqrt48-6sqrt75+7sqrt80
Answer:
2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
Step-by-step explanation:
= 8 [tex]\sqrt{16}[/tex][tex]\sqrt{3}[/tex] - 6[tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] + 7[tex]\sqrt{16}[/tex][tex]\sqrt{5}[/tex]
= 8(4)[tex]\sqrt{3}[/tex] - 6(5)[tex]\sqrt{3}[/tex] + 7(4)[tex]\sqrt{5}[/tex]
= 32[tex]\sqrt{3}[/tex] - 30[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
(x - 5)2 + (y-(-3))2 = 34 (x - 5)2 + ( + 3)2 = 34 Exercises 12.2 Complete the following: 1. Find the equation of the circle having the given center and ra (a) C(0,0), r= 3 (c) C(4, 3), r = 5 (d) C(2, (b) C(-2.
Answer:
Step-by-step explanation:
The general equation of the circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Center = c = (h,k) , radius = r
if C = (0,0) , r = 3
The equation will be :
(x-0)^2+(y-0)^2=3^2
[tex]x^2+y^2=9[/tex]
The product of two numbers is 42.63. If one number is 21. What is the other number
Answer:
21.63 is the other number
Step-by-step explanation:
21 + 21.63 equals 42.63
Answer:
Hi dear. I'm helping you to solve the question and in return you help me with my question.
Step-by-step explanation:
Question : The product of two numbers is 42.63. If one number is 21. What is the other number?
Solution :-
Product of two numbers = 42.63
One of the number = 21
Therefore , the other number = 42.63 ÷ 21 = 2.03
Hope my solution helps you and don't forget to help me with maths questions in return...
17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe
Answer:
D All positive integers are rational numbers.
Step-by-step explanation:
Integers are rational numbers
Tamara wants to pour a pitcher holding 5 cups of juice into servings that are 1/3 cup in size. How many servings are possible?
Answer:
15
Step-by-step explanation:
5 x 3 = 13
15 servings are possible.
In the figure shown what is the value of x?
Answer:
23 is the right answer hope it's helps you
The value of x from the given congruent triangles is 23 units.
In the figure ΔABC and ΔDEF are given.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider, ΔABC and ΔDEF, we have
AB=DE (Given)
∠BAC=∠EDF (Given)
AC=DF (Given)
So, ΔABC ≅ ΔDEF
We know that, by CPCT
BC=FE
⇒ x-4=19
⇒ x=23 units
Therefore, the value of x from the given congruent triangles is 23 units.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
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(07.03)
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step.
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5(2x - 8) + 15 = -15
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 15 on both sides: 5(2x - 8) = -30[Division Property of Equality] Divide 5 on both sides: 2x - 8 = -6[Addition Property of Equality] Add 8 on both sides: 2x = 2[Division Property of Equality] Divide 2 on both sides: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(2(1) - 8) + 15 = -15(Parenthesis) Multiply: 5(2 - 8) + 15 = -15(Parenthesis) Subtract: 5(-6) + 15 = -15Multiply: -30 + 15 = -15Add: -15 = -15Here we see that -15 does indeed equal -15.
∴ x = 1 is the solution to the equation.
Answer: x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2x−8)+15=−15
Step 1: Simplify both sides of the equation.
5(2x−8)+15=−15
(5)(2x)+(5)(−8)+15=−15(Distribute)
10x+−40+15=−15
(10x)+(−40+15)=−15(Combine Like Terms)
10x+−25=−15
10x−25=−15
Step 2: Add 25 to both sides.
10x−25+25=−15+25
10x=10
Step 3: Divide both sides by 10.
10x/10=10/10
x=1
1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
-2x-4=16
Show each step of your work.
Answer:
x= -10
Step-by-step explanation:
PEMDAS
First you multiply- -2x?
You don't know what x is so you subtract 4 for 16
16-4=12
2-12= -10
Tickets for Broadway show cost $50 for adults and $10 for children. The total receipts for 1510 tickets at one performance for $54,700 how many adults and how many children’s tickets were sold.
Answer:
a lot of kids and adults
Step-by-step explanation:
Which statement below is always true?
The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,
The product of two negative numbers is negative.The product of two negative numbers is negative. ,
The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,
The product of two positive numbers is positive.
Answer:
the product of two positive numbers is positive.
Step-by-step explanation:
the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option
Find the area of a square
with a side length of 3/4
Answer:
area of square
= side × side
= 3/4 ×3/4
=9/16
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answer:
Olivia-2.25
Hope I helped
which is more, 6 miles or 31,678 feet ?
Answer: 6miles
Step-by-step explanation: 6miles = 31680ft so 31680>31678
PLS HELP ILL GIVE BRAINLIEST!
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Step-by-step explanation:
GUYS please help ;)
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
Answer:
The area of the floor equals 229 square feet.
Step-by-step explanation:
The volume of a rectangular storage is given by the area of the floor multiplied by the height of the room. (It follows directly from the formula of a bar.) So the area of the floor is given by the volume of the rectangular storage divided by the height of the room. In symbols: [tex]V=Ah[/tex] gives [tex]h=\frac{V}{A}[/tex]. Substituting the given gives that [tex]h=\frac{2061}{9}=229[/tex] square feet, precisely what we were asked.
Answer:
The area of the floor is 229 ft.
Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?
PLEASE HELPPP
Answer:
40%
Step-by-step explanation:
Answer:
If you need help on further questions like this, divide what he has to what he needs or his goal
in order to get 37.5% you have to divide 75/ 200
You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.
2/5+ 1/2 simplified
Answer:
9/10
Step-by-step explanation:
combine the fractions yk?
Line___is a transversal.
Answer:
C
Step-by-step explanation:
Line A is Parallel to Line B
Line C intersects Line A and B
Answer:
line C
Step-by-step explanation:
1/3 divided by 3 1/2
Answer:
2/21
Step-by-step explanation:
Derek used 12 pencils during school week. He now has 86 pencils How many pencils did he have at the beginning of the school week
Answer:98
Step-by-step explanation:
Do mental math if she used 12 and now has 86 then all you do is add 12 and 86 and you get 98
The x-axis is the vertical axis.
True
False
Answer:
true truw
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
the x-axis is the horizontal axis
Which is equivalent to square root 8 to the third power
Answer:
Step-by-step explanation:
IMPORTANT: ∛8ˣ is not the square root of 8³. ∛ means cube root.
∛x = x^(⅓)
Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
given f(x)=(x+5),findf(9)
0C.-196
write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
9514 1404 393
Answer:
y = 4x -7
Step-by-step explanation:
Rearranging the slope-intercept for equation, we can find the intercept:
y = mx +b
y -mx = b . . . . . subtract mx
We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.
b = 9 -4(4) = -7
The desired equation is ...
y = mx +b
y = 4x -7
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
9514 1404 393
Answer:
5
Step-by-step explanation:
A graph can be helpful. It shows possible integer coordinates of Z could be ...
(-1, 2) or (-5, 1)
These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.
__
The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.
__
Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.