Answer:
11.40
Step-by-step explanation:
If we were to divide the shape into a rectangle and triangle, we would have the base of the triangle as 9 because two sides of the rectangle are equal, and 7 for the side because two sides of rectangle are equal and 14/2 is 7. Now we have two sides of a triangle 9 and 7. We know X is the hypotenuse because it is opposite to the right angle. We will plug it into the pythagorean theorem.
a^2+b^2=c^2
9^2+7^2=c^2
81+49=c^2
130=c^2
[tex]\sqrt{130}[/tex]
11.40
Samples of viewers were taken from two different movies to compare the ages of those
watching the movie. Fifty participants were asked their ages as they exited each movie. The
results are shown on the double box plot below. Which statistical measure was equal for the
two samples?
Movie
Answer:
The median are equal
Step-by-step explanation:
Given
I will answer this question with the attached plot (see attachment 2)
Required
The equal statistical measures
See attachment 1 on how to read a box plot
Using attachment 1 as a guide, we have the following observation
Movie 2 Movie 1
[tex]Minimum=7.5[/tex] [tex]Minimum=10[/tex]
[tex]Q_1 = 22.5[/tex] [tex]Q_1 = 15[/tex]
[tex]Median = 30[/tex]
[tex]Q_3 = 35[/tex] [tex]Q_3 = 40[/tex]
[tex]Maximum = 47.5[/tex] [tex]Maximum = 52.5[/tex]
By comparison, they have equal median (30)
Rewrite the expression in the form z^n
Answer:
[tex]z^{ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}[/tex] [tex][ \ \frac{a}{a^x} = a \cdot a^{-x} \ ][/tex]
[tex]= \sqrt {z^{\frac{2}{3}}}\\\\[/tex] [tex][ \ a^x \cdot a^y = a^{ x+ y} \ ][/tex]
[tex]= (z^{\frac{2}{3}})^{ \frac{1}{2}}[/tex] [tex][ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ][/tex]
[tex]= z^ {\frac{1}{3}}[/tex] [tex][ \ (a^x)^y = a^{xy} \ ][/tex]
if you spin the spinner twice what is the probability of spinning orange then brown
Answer:
Is there any image for the question ???
Let g(x) = 4x - 20 and h(x) = -1/2x + k. For what value of k is the zero of h(x) equivalent to the zero of g(x)
Answer:
Step-by-step explanation:
The zero of a function is also known as the x-intercept of a function. The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and -1/2x + k = 0 and then solve each for x:
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k:
5 = 2k so
k = 5/2
The value of the K in the given equation is 5/2.
The zero of a function is also known as the x-intercept of a function.
The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and
-1/2x + k = 0 and then solve each for x:
What is the substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k
5 = 2k so
k = 5/2
Therefore the value of the K in the given equation is 5/2.
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
Answer:
not a function because -3 maps to two different values 5 and 6
Step-by-step explanation:
answer both correctly for brainliest
2. B 60 meters
3. C. 10yd
Refer to the attachment for complete calculation
Question: Given a quadratic equation in standard form, explain how to determine if there is one real solution, two real solutions, or no real solutions (hint: use the discriminant b2-4ac). WILL MARK BRAINLIEST
Step-by-step explanation:
When Delta(b^2-4ac) is greater than 0, the quadratic equation has two distinct real solutions, when it is equal to 0, the quadratic equation has one real solution, when it is negative, it has no real solutions.
Sketch the graph of y = 2 x squared + 7 x using your graphing calculator. What are the x-intercepts of this graph? a. (1, 0) and (-0.5, 0) c. There are no x-intercepts b. (0, 0) and (-3.5, 0) d. (-1.5, 0) and (-0.5, 0) Please select the best answer from the choices provided A B C D
Answer:
y= 2x²+7x
B is the answer
Hey all! Pls help
They are easy questions, pls show the working
Answer:
7. x = 6
8. x = 15/4
9. x = -7
Answer:
Hello there user, looks like your looking for help!
The correct answers should be:
7. x = 6
8. x = 3 3/4
9. x = -7
Step-by-step explanation:
3/2 = x/4
6/4 = x/4
x = 6
x/3 = 1 1/4
4x/12 = 15/12
x = 15/4
x = 3 3/4
(x + 1)/3 = (x-1)/4
(4x + 4)/12 = (3x-3)/12
x/12 = -7/12
x = -7
Ricky takes 2 coins at random from 3 quarters, 5 dimes, and two nickels in his pocket.
1) What is the (P) nickel then a quarter, without 2) What is the (P) nickel then a dime, with
replacement?
replacement?
3) What is the (P) quarter then a dime, with
replacement?
4) What is the (P) nickel then a nickel, without
replacement?
Answer:
Step-by-step explanation:
To calculate the probability of drawing a nickel followed by a quarter without replacement, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels. This can be calculated using combinations, denoted as C(n, r), which represents the number of ways to choose r items from a set of n items. In this case, Ricky is choosing 2 coins from a set of 10 coins:
Total possible outcomes = C(10, 2) = 45
Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is 1 quarter. Thus, the number of favorable outcomes is 1.
Favorable outcomes = 1
Probability (P) of drawing a nickel then a quarter without replacement:
P = Favorable outcomes / Total possible outcomes
P = 1 / 45
Therefore, the probability of selecting a nickel followed by a quarter without replacement is 1/45.
To calculate the probability of drawing a nickel then a dime with replacement, we assume that after each selection, the coin is replaced, and the total number of coins remains the same.
Probability (P) of drawing a nickel then a dime with replacement:
P(nickel then dime) = (Number of nickels / Total number of coins) * (Number of dimes / Total number of coins)
P(nickel then dime) = (2/10) * (5/10)
P(nickel then dime) = 1/10
Therefore, the probability of selecting a nickel followed by a dime with replacement is 1/10.
To calculate the probability of drawing a quarter then a dime with replacement:
Probability (P) of drawing a quarter then a dime with replacement:
P(quarter then dime) = (Number of quarters / Total number of coins) * (Number of dimes / Total number of coins)
P(quarter then dime) = (3/10) * (5/10)
P(quarter then dime) = 3/20
Therefore, the probability of selecting a quarter followed by a dime with replacement is 3/20.
To calculate the probability of drawing a nickel then another nickel without replacement, we need to consider that the second draw must be a nickel and that the first nickel is not replaced.
Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels:
Total possible outcomes = C(10, 2) = 45
Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is only 1 nickel left.
Favorable outcomes = 1
Probability (P) of drawing a nickel then another nickel without replacement:
P = Favorable outcomes / Total possible outcomes
P = 1 / 45
Therefore, the probability of selecting a nickel followed by another nickel without replacement is 1/45.
To know more about probability here
https://brainly.com/question/13604758
#SPJ2
Do anyone know what it is
HELP QUICK
(question in picture)
Answer:
Step-by-step explanation:
There’s a total of 10+16+20+18 = 64 candies.
There’s 10 red candies.
10 / 64 = 0.15625
Rounded: 0.2
Which expression represents the series 1+5+25+125+625
Answer:
[tex]1 = {5}^{0} [/tex]
[tex]5 = {5}^{1} [/tex]
[tex]25 = {5}^{2} [/tex]
[tex]125 = {5}^{3} [/tex]
[tex]625 = {5}^{4} [/tex]
option A is correct, it starts with the power of zero (equals always one, see it as
[tex] \frac{5}{5} [/tex]
and it goes up to the power of 4
Letter D thanks for asking for help
I need help with this question
Answer:
the number that goes there is 7
Step-by-step explanation:
Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
Learn more about function here: https://brainly.com/question/9046022
#SPJ2
7
45°
X
Find the value of x . Write your answer in simplest form.
Answer:
7√2
Step-by-step explanation:
From the diagram given;
Hypotenuse = x
Opposite = 7
Angle = 45 degrees
According to SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 45 = 7/x
x = 7/sin45
x = 7/1/√2
x = 7 * √2/1
x = 7√2
Hence the value of x is 7√2
Find the equation of the line through the points (6, -9) and (-2, -1).
Enter your answer in slope-intercept form y = mx + b.
Answer:
y = -1x - 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-9) / -2 - 6
8/-8
= -1
y = -1x + b
-1 = -1(-2) + b
-1 = 2 + b
-3 = b
median 10 24 9 18 15 28 12 27 25 29 10 26
Answer:
The median is 21
Step-by-step explanation:
Since you have 12 numbers in order, that's an even number, once you put them in numerical order and start crossing them off on both sides, you'll have 18 and 24 left, add them together and divide them by 2 and you'll have your median 21.
Use the function below to find f(-2).
F(x)= 3^x
A. 1/6
B. -9
C. -6
D. 1/9
Answer:
D. 1/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
f(x) = 3ˣ
f(-2) is x = -2 for function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = 3⁻²Exponents: f(-2) = 1/9how to we work out (x-3)(x-9) in product of 2 binomials
Answer:
2−12+27
Step-by-step explanation:
(−3)(−9)
x(x-9) -3(x-9)
x2 (square lol) - 9x -3 (x-9)
x2-9x-3x+27
x2-12x+27
solution:
2−12+27 answer.
Answer:
Step-by-step explanation:
(x-3)(x-9)
x(x-9)-3(x-9)
x^2-9x-3x+27(add like terms)
x^2-12x+27
What is the amplitude of this function f (x)?
f(x) = 3 cos (2x) + 5
Enter your answer in the box.
The amplitude of this function is 3.
A plane leave an airport and flies due north. (more in photo)
Answer:
104 miles (nearest whole number)
Step-by-step explanation:
Applying Pythagorean theorem which is: c² = a² + b². Where,
c = distance between the two planes = ?
a = distance of the first plane from the airport = 80 - 1 = 79 miles
b = distance of the second plane from the airport = 68 - 1 = 67 miles
c² = 79² + 67²
c² = 10,730
c = √10,730
c = 103.585713
c = 104 miles (nearest whole number)
Jane bought 6 banana at $250 per dozen. she sells four and a half dozen at $35 each and the others were sold at %20 each determine if she made a profit or loss state her profit or loss as a percentage. show working
Answer:
34.4% profit
Step-by-step explanation:
C.P. = 1500
S.P. = 2016
Profit% = 34.4%
Witch shows the correct way to convert 5 ounces to pounds ?
Multiply : 2^3 root 3 by 3 root 2
Answer:
24 root 6
Step-by-step explanation:
Answer:
the answer is 58•78775383(that is 2^3√3×3√2)
HELP ASAP IM BEING TIMEDD
Answer:
53/100
Step-by-step explanation:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
8 / 15 = 0.533
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 533
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:
0.53
Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
0.53 = 0.53/1
Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:
(0.53 x 100) / (1 x 100) = 53/100
That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):
53/100
Answer:
53.33% is the correct answer
square root of 7 hole 18/49
Answer:
19/7
Step-by-step explanation:
7 18/49 = 361/49 = √361/√49 = 19×19/7×7 = 19/7
Square root of 7 18/49 is 19/7
Hope this answer helps you :)
Have a great day
Mark brainliest
can anyone help meh with this i wasn't paying attention in class when my teacher was explaining how to do this :,)
Answer:
W=42°
X=29°
Step-by-step explanation:
180-138=42
90-42-19=29
Find the value of x in each case:
Step-by-step explanation:
angle MRP
angle PRS=angle RPN (alternate angles)
2x+x+x+78°=180°(sum of angles of a triangle)
4x+78°=180°
4x=180°-78°
4x=102°
4x/4=102°/4
x=25.5
Graph the line with the equation y= -1/3x - 2
Answer:
I hoped this helped!
Step-by-step explanation:
Answer:
See attached image.
Step-by-step explanation:
You can either use a graphing calculator or make a table to find values for yourself.
X | 0 | 3
Y | -2 | -3
and so forth.