Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?
Experimental Probability. Theoretical Probability
P(odd) = % P(odd) = %
Answer:
[tex]\fbox{\begin{minipage}{12em}52 percent and 50 percent \end{minipage}}[/tex]
Step-by-step explanation:
Given (as shown in graph):
The results of rolling a number cube (a die) 50 times.
Rolling 1: 10 times
Rolling 2: 4 times
Rolling 3: 8 times
Rolling 4: 11 times
Rolling 5: 8 times
Rolling 6: 9 times
Solve for:
The probability of rolling an odd number (1, 3, 5).
Solution:
Step 1: Define the formula for calculating the probability
P = number of elements/total number of elements
Step 2: Perform the calculation
1) Theoretically, a fair die of 6 sides would give the equal chance to obtain 1, 2, 3, 4, 5, 6.
According to the formula in step 1, the number of elements in both cases are the same (odd: 1, 3, 5 => 3 elements, even: 2, 4, 6 => 3 elements, the total element is 1, 2, 3, 4, 5, 6 => 6 elements).
=> P(obtain odd number theoretically) = P(obtain even number theoretically) = 50%
2) Experimentally, apply the formula in step 1, we have:
The number of elements = Times of rolling 1 + Times of rolling 3 + Time of rolling 5 = 10 + 8 + 8 = 26
The total number of rolling: 50
=> P(obtain odd number in experiment) = 26/50 = 0.52 = 52%
Hope this helps!
:)
Answer:
^ That is correct guys
Step-by-step explanation:
GOOD LUCK
Please help ASAP! Which ordered pair is a solution of this
equation?
-5x - 9y = -8
Click on the correct answer
A.
(2,-1)
B.
(-1,2)
C.
(-22)
D.
(2,-2)
========================================================
Explanation:
For each possible answer choice, you'll plug in the given coordinates to see which results in a true equation or not.
If we try choice A, then we plug in x = 2 and y = -1 to get
-5x-9y = -8
-5(2)-9(-1) = -8
-10+9 = -8
-1 = -8 which is false
So (x,y) = (2,-1) is not a solution. We can cross choice A off the list.
You'll find a similar situation happens with choices B and D. They don't work either.
-------
Choice C works because...
-5x-9y = -8
-5(-2)-9(2) = -8 .... replaced x with -2, replaced y with 2
10-18 = -8
-8 = -8
We get a true equation. So (-2,2) has been confirmed to be a solution.
Write an integer that represents this scenario:
18-point gain
Answer:
+18
Step-by-step explanation:
A gain is a positive number
+18
Answer:
+18
Step-by-step explanation:
Neg = Drop
Pos = Gain
Gain so +
+18
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
0, 1
Step-by-step explanation:
The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.
Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.
pleaseee help me w dis!!! marking brainiest!!!
Answer:
x = -8 x=1
Step-by-step explanation:
x^2 +7x = 8
Subtract 8 from each side
x^2 +7x -8 =0
Factor
What 2 numbers multiply to -8 and add to 7
8*-1 = -8
8+-1 = 7
(x+8)(x-1) =0
Using the zero product property
x+8 =0 x-1 =0
x = -8 x=1
FAST ANSWER PLEASE THANKS
Answer:
(f • g)(x) = x² - 6x + 7
Step-by-step explanation:
Suppose
f(x) = x² - 2
g(x) = x - 3
Determine
(f • g)(x) = ...
We can compose the functions by doing the following
(f • g)(x) = f(g(x))
(f • g)(x) = f(x - 3)
(f • g)(x) = (x - 3)² - 2
(f • g)(x) = x² - 6x + 9 - 2
(f • g)(x) = x² - 6x + 7
I hope this helps!
If 3 inch square is covered with 1inch squares how many of the 1 inch squares are needed? What is the area of the larger square
Answer:
9 1-inch squares will cover the bigger square. Its area is the same as the amount of squares needed, 9 inches.
the larger Area will be 9 square inch.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To cover a 3 inch square with 1 inch squares, we can arrange the 1 inch squares in a 3 by 3 grid.
So, we need 9 of the 1 inch squares to cover the 3 inch square.
The area of the larger square can be found by squaring the length of one of its sides.
Since the side length of the 3 inch square is 3 inches, the area of the larger square is:
Area = (side length)² = 3² = 9 square inches
Therefore, the larger Area will be 9 square inch.
Learn more about Area here:
https://brainly.com/question/27683633
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Find the slope of the line y=5x+4
Answer:
Slope = 5
Step-by-step explanation:
y = mx + b
m = slope
Slope = 5
Answer:
5
Step-by-step explanation:
Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.
Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago? Which of the following represents the given word problem if "P" represents the population ten years ago? 2(P + 10) = 12,000 2P = 12,000 P = 2(12,000)
Answer:
2p=12,000
Step-by-step explanation:
an elevator moves at a rate of -5.8 feet per second from a height of
300 feet above the ground. the elevator takes 3 seconds to make its first stop.
how many feet above the ground is the elevator now?
Answer:
282.6 ft
Step-by-step explanation:
First you must figure out how far the elevator drops in three seconds.
To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4
now you subtract 17.4 from 300 to get 282.6 ft
How much is 2a+b greater than 2b? Simplify your result
Step-by-step explanation:
2a+b is just greater than 2b with a
What is 2 with an exponent of -2 equal to?
Answer:
1/4
Step-by-step explanation:
Answer:
[tex] \boxed{\frac{1}{4} } [/tex]
Step-by-step explanation:
[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]
[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]
Help please this is due in a couple minutes!!!! Anyone know the answer??!!!?
Answer:
the second one
Step-by-step explanation:
correct me if it is wrong
Which notations accurately represent the range?
Check all that apply.
(-∞ 2) U (2, ∞)
(-∞, -2) U (-2, ∞)
{yly E R, Y ≠ -2}
{yly E R Y≠2}
y<2 or y> 2
Y<-2 or y> -2
Answer:
y < 2 or y > 2 and {y|y ∈ R, y ≠ 2}, (–∞, 2) U (2, ∞)
Step-by-step explanation:
these are the answers i got it right
What is the slope of the line represented by the points in the table? x y –2 –0.35 –1 –0.3 0 –0.25 1 –0.2 2 –0.15 Negative 0.05 Negative .005 0.005 0.05
Answer:
its a
Step-by-step explanation:
the slope goes from point a to , in this case is subtracting -.05
Answer:
its A - 0.05
Step-by-step explanation:
edge 2020!
Rate and give me a thanks if you want me to answer more of your guys questions.
please answer asap! A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 125 trials that you can use to model the genders of the children. Write your answers as numbers.
Step-by-step explanation:
The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.
Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.
What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.
Doing this 125 times, we obtain the number of trials we desire.
For each trial, we get for each child, C:
C1: X + (X or Y)
C2: X + (X or Y)
C3: X + (X or Y)
C4: X + (X or Y)
C5: X + (X or Y)
Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.
Given the points (-2,-4) and (-3,-5) what is the slope
Answer:
1/1
Step-by-step explanation:
A certain substance has a half life of 1 hour. If you start with 3000 grams of the substance, how much will you have in 1 hour?
Answer:
1500 grams
Step-by-step explanation:
A= P(0.5)^t
A=3000(0.5)^1
A=1500
Please help me I need to finish today!
Answer:
C
Step-by-step explanation:
For Youfang, the time spent running is equal to 15 times the week
Can you please help
A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth.
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
find the value of each trigonometric ratio part 3
Answer:
hope this helps you
5+(8×5)+72÷8 !? what is the answer please
Answer:
54 is the answer
Step-by-step explanation:
5+(8x5)+72/8
5+40+9
54
Subtract 4x4 + 2x² +5 from the sum of 2x4 - 4x2–3 and 3x4 - 3x² +9.
Answer:
x^4-9x²+1
Work:
6. A wire Il om long has a mass of 187 g. What is the mass of 7 cm of this wire?
Step by step explansion
Answer:
119 g.
Step-by-step explanation:
11 cm has a mass of 187 g
So 1 cm has a mass of 187/11 g
7 cm ............................... (187/11) * 7
= 17 * 7
= 119 g.
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
John = 82 Billy = 82 Gregg = 80 Bob = 55
Step-by-step explanation:
John = (3x38)+(2x0)-(2x8)-(2x8)
Billy = (3x30)+(2x4)-(2x3)-(2x5)
Gregg = (3x30)+(2x3)-(2x4)-(2x4)
Bob = (3x25)+(2x6)-(2x9)-(2x7)
Wanda jumped rope 25 times every minute. What is the algebraic equation to express the function of the total number of times Wanda jumped rope? A. m = 25j B. m + j=25 C. 25 = j - m D. j = 25m
Answer:
I think it's A) bro,
Step-by-step explanation:
on the test write now soooo...
Which shows the fractions in order from greatest to least?
A.5/10,1/4,3/4,5/7
B. 3/4,5/7,5/10, 1/4
C. 5/10,5/7,3/4,1/4
D.1/4, 3/4, 5/7,5/10
Answer:
Step-by-step explanation:
D
ill mark u brainliest please help me!
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
Answer: The answer is C
Step-by-step explanation:
The way it is written is very important
it goes
AB is to DE
BC is to EF
AC is to DF
what is the quotient of x^2-9x+14/x-7