Answer:
Option d) [tex]P=\frac{4}{17}[/tex]
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
[tex]P=\frac{x}{y}[/tex]
In this problem we have
[tex]x=13-1=12[/tex]
[tex]y=52-1=51[/tex]
substitute
[tex]P=\frac{12}{51}[/tex]
Simplify
[tex]P=\frac{4}{17}[/tex]
James is 1.63 meters tall. Write James’s height in word form. Explain how you Found your answer.
Answer:
James is 1 meter and 63 centimeters tall
Step-by-step explanation:
James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;
1.63 - 1 = 0.63 meters
The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;
0.63 * 100 = 63 centimeters
We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall
The weather forecast for the day shows a 45% chance of
rain, a 45% chance of lightning, and a 25% chance of lightning
and rain. Which statement is correct?
A. The chance of rain and the chance of lightning are
independent because .2025 = .25
B. The chance of rain and the chance of lightning are
independent events because .45 = .45
C. The chance of rain and the change of lightning are
dependent events because .2025 2.25
D. The chance of rain and the chance of lightning are
dependent events because .45 = .45
Answer:
C
Step-by-step explanation:
If two events are independent, the probability of both happening are:
P(A and B) = P(A) × P(B)
In this case, if rain and lightening were independent:
P(rain and lightening) = P(rain) × P(lightening)
P(rain and lightening) = 0.45 × 0.45
P(rain and lightening) = 0.2025
However, we're told that P(rain and lightening) is 0.25, not 0.2025.
Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.
The point (-3,4) is reflected across the x-axis. What is the coordinates of its new location?
Semd a pic of a graph bc I dont have paper
The point (-3,4) when reflected across the x-axis results in new coordinates (-3, -4), changing the sign of the y-coordinate.
The question asks for the new coordinates of a point after being reflected across the x-axis. Reflecting a point across the x-axis changes the sign of the y-coordinate but leaves the x-coordinate unchanged. Therefore, if we have a point (-3, 4) and we reflect it across the x-axis, the x-coordinate remains -3, and the y-coordinate, which is 4, will become -4, resulting in the new coordinates (-3, -4).
Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is
the first year the f(x) height is greater than the g(x) height?
A) year 0
B) year 1
C) Year 2
D) year 3
I believe you answer would be D
Answer:
None of them.
Step-by-step explanation:
you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have
[tex]4x>5x+2\rightarrow -2>5x-4x=x[/tex] . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.
use the functions f(x)= 3x-4 and g(x)= x^2-2 to answer the following questions
a) complete the table
x l f(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______
x l g(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______
b) for what value of the domain (-3, -1, 0, 2, 5) does f(x)= g(x)
answer:
Step-by-step explanation:
a.[tex]f(x)=3x-4\\\\\text{Put the values of x from table to the equation of}\ f(x):\\\\f(-3)=(3)(-3)-4=-9-4=-13\\f(-1)=(3)(-1)-4=-3-4=-7\\f(0)=(3)(0)-4=0-4=-4\\f(2)=(3)(2)-4=6-4=2\\f(5)=(3)(5)-4=15-4=11\\\\\begin{array}{c|c}x&f(x)\\-3&-13\\-1&-7\\0&-4\\\bold{2}&\bold{2}\\5&11\end{array}[/tex]
[tex]g(x)=x^2-2\\\\g(-3)=(-3)^2-2=9-2=7\\g(-1)=(-1)^2-2=1-2=-1\\g(0)=0^2-2=0-2=-2\\g(2)=2^2-2=4-2=2\\g(5)=5^2-2=25-2=23\\\\\begin{array}{c|c}x&g(x)\\-3&7\\-1&-1\\0&-2\\\bold{2}&\bold{2}\\5&23\end{array}[/tex]
b.f(x) = g(x) for x = 2 (look at the tables)
Need some help with this math question thanks :)
Answer:
Option B [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
we know that
[tex]sin(2\theta) = 2 sin(\theta) cos(\theta)[/tex]
In this problem we have
[tex]cos(\theta)=\frac{4}{5}[/tex]
Find the value of [tex]sin(\theta)[/tex]
Remember that
[tex]sin^{2} (\theta)+cos^{2} (\theta)=1[/tex]
substitute the value
[tex]sin^{2} (\theta)+(\frac{4}{5})^{2}=1[/tex]
[tex]sin^{2} (\theta)=1-\frac{16}{25}[/tex]
[tex]sin^{2} (\theta)=\frac{9}{25}[/tex]
[tex]sin(\theta)=\frac{3}{5}[/tex]
Find the value of [tex]sin(2\theta)[/tex]
[tex]sin(2\theta) = 2 (\frac{3}{5})(\frac{4}{5})[/tex]
[tex]sin(2\theta) = \frac{24}{25}[/tex]
Monique only has $36 to buy pens and notebooks. Each pen costs $2. Each
notebook costs $3. Which of the following graphs represents the possible
combinations of pens and notebooks that she may purchase?
Answer:
9 notebooks=36 or 12 pens=24+ 4 notebooks=12 in total 36
Step-by-step explanation:
first way: 9×4=36
second way: 12×2=24
3×4=12
24+12=36
Solve (-18^3+17x+6)/(3x+2)
Answer:
[tex]\frac{17x-5826}{3x+2}[/tex]
Step-by-step explanation:
The polynomial - 18x³ + 17x + 6 is divided by 3x + 2. Then the polynomial will be - 6x² + 4x + 3.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
- 6x² + 4x + 3
3x + 2 ) - 18x³ + 17x + 6
- 18x³ - 12x²
+ 12x² + 17 x + 6
+ 12x² + 8x
+ 9x + 6
+ 9x + 6
0
More about the division link is given below.
https://brainly.com/question/369266
#SPJ2
HELP NEEDED ASAP!! What is the length of AC
Answer:
(144) is the homogeneous mixture
Answer:
Ac = 144
Step-by-step explanation:
From the figure we can see two similar triangles,Ratio of sides of similar triangles are equal.
To find the value of x
From the figure we can write,
7/84 = x/(156 - x)
1/12 = x/(156 - x)
156 - x = 12x
13x = 156
x = 156/13 = 12
To find the value of AC
AC = 156 - x
= 156 - 12
= 144
Therefore AC = 144
Need this to graduate. Math 3- 10 points. Find the function!
The answer is:
The fourth option,
[tex](f-g)(x)=11x[/tex]
Why?To solve the problem, we must remember the following property of the functions:
Subtraction of functions:
We have that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
We are given the functions:
[tex]f(x)=4x+3[/tex]
and
[tex]g(x)=3-7x[/tex]
So, calculating we have:
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(4x+3)-(3-7x)[/tex]
[tex](f-g)(x)=4x+3-3+7x[/tex]
[tex](f-g)(x)=4x+7x+3-3=11x[/tex]
Hence, the answer is the fourth option,
[tex](f-g)(x)=11x[/tex]
Have a nice day!
Answer:
(D) (f-g)(x) = 11x
Step-by-step explanation:
You have:
f(x) = 4x + 3
g(x) = 3 - 7x
You want to do f(x) - g(x)... you simply do the operation on their definition...
f(x) - g(x) = 4x + 3 - (3 - 7x) = 4x + 3 - 3 + 7x = 11 x + 0
So, (f-g)(x) = 11x
You can verify it by placing a value for x in both equations. Let's take x = 3
f(x) = 4x + 3 = 4(3) + 3 = 15
g(x) = 3 - 7x = 3 - 7(3) = -18
f(x) - g(x) = 15 - -18 = 33
(f - g)(x) = 11x = 11 (3) = 33
Yes, (f(x) - g(x)) = (f - g)(x) = 33
solve for x. round to the nearest hundredth if necessary.
Answer:
The correct answer is first option
X = 10.53
Step-by-step explanation:
Points to remember
Trigonometric ratios
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = opposite side/Adjacent side
From the figure we can see a right angled triangle, with one angle is 29 degree, one side is 19 and hypotenuse is x
To find the value of x
Tan θ = Opposite side/Adjacent side
Tan 29 = 19/x
x = 19 * Tan 29
= 19 * 0.5543
= 10.53
Therefore the correct answer is first option
Answer:
Final answer is approx [tex]x=34.28[/tex].
Step-by-step explanation:
Using given information in the picture, we need to find the missing value of x.
Apply formula of tangent function which is :
[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]
[tex]\tan\left(29^o\right)=\frac{19}{x}[/tex]
[tex]0.554309=\frac{19}{x}[/tex]
[tex]x=\frac{19}{0.554309}[/tex]
[tex]x=34.2769105319[/tex]
Hence final answer is approx [tex]x=34.28[/tex].
A biologist is researching a newly-discovered species of bacteria. He puts 200 bacteria into what he has determined to be a favorable growth medium. Nine hours later, he measures 380 bacteria. Assuming exponential growth, find the growth equation and use it to determine the number of bacteria after eight hours.
Note: Once you find the equation, round a and b to the nearest hundredth to determine the solution.
358
351
344
360
Answer:
354.
Step-by-step explanation:
Exponential growth:
380 = 200e^(k*9) where k is a constant to be found.
e^9k = 380/200 = 19/10
ln e^9k = ln 1.9
9k = ln 1.9
k = ln 1.9 / 9
k = 0.071
After 8 hours:
Number of bacteria =
200*e^(8*0.071)
= 354.
it's possible for a table to display yes/no and numberic data at the same time
Answer:
yea it can
Step-by-step explanation:
Final answer:
A table can simultaneously display yes/no (Boolean) and numeric data. Yes/No fields in databases are often checkboxes representing binary choices, while other columns can store numeric data. The data types assigned to these fields determine how they are sorted and displayed in the table.
Explanation:
Yes, it is entirely possible for a table to display both yes/no and numeric data at the same time. The yes/no data is often referred to as binary, Boolean, or Yes/No datatype, and in databases, it commonly appears as a checkbox. These Yes/No fields contain only two possible values, such as Yes/No, True/False, or On/Off. On the other hand, the numeric data represents quantitative information that can be measured and written down with numbers.
Tables are quite versatile and can conveniently organize complex numerical information, alongside qualitative categories, in a structured format using rows and columns. For example, a table can be used to compare different models of a product using criteria represented by both text and numbers, such as product features ('Yes' for having a feature and 'No' for not having it) and specifications like price or weight (numeric data).
It's important to keep in mind that when designing a database, every field is assigned a datatype based on what type of data it holds. For fields containing text, a 'text' datatype is used; whereas for fields containing numeric values, a 'number' datatype is chosen. The datatype affects how the data is sorted and processed within the table.
find the sum or difference. make sure your answer is simplified. work must be shown.
3/4x+1/20x
[tex]\bf \cfrac{3}{4x}+\cfrac{1}{20x}\impliedby \textit{so let's use an LCD of 20x} \\\\\\ \cfrac{(5)3~~+~~(1)1}{20x}\implies \cfrac{15+1}{20x}\implies \cfrac{16}{20x}\implies \cfrac{4}{5x}[/tex]
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost for hamburgers (h) and French fries (f).
Answer:
2h+2f=10.50
4h+3f=19.50
The equation that could be used to determine the cost of the hamburgers and French fries is,
2h+2f=10.50
4h+3f=19.50
We have given that,
Aron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries.
His total cost is $10.50.
The next week, he goes with two other friends.
They order four hamburgers and three French fries.
This time the total is $19.50.
What is the linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Therefore the equation that could be used to determine the cost of the hamburgers and French fries is,
2h+2f=10.50
4h+3f=19.50
To learn more about the equation visit:
https://brainly.com/question/2972832
#SPJ2
A plane is to be loaded with bottles of water and medical supplies to be sent to victims of an earthquake. Each bottle of water serves 10 people and each medical kit aids six people. The goal is to maximize z, the total number of people helped, where z = 10x + 6y, and x is the number of bottles and y is the number of medical kits. Using the constraints of the situation (plane weight and volume capacities) the shaded region is in the graph is obtained. Which vertex of the region represents the solution to the maximization problem?
Answer:
The vertex that maximize the problem is (2,000,4,000)
Step-by-step explanation:
we have
[tex]z=10x+6y[/tex]
The vertex of the shaded region are
A(0,0), B(4,000,0),C(2,000,4,000), D(0,6,000)
Substitute the value of x and the value of y of each vertex in the z equation to find the solution
case A) A(0,0)
[tex]z=10(0)+6(0)=0[/tex]
case B) B(4,000,0)
[tex]z=10(4,000)+6(0)=40,000[/tex]
case C) C(2,000,4,000)
[tex]z=10(2,000)+6(4,000)=44,000[/tex]
case D) D(0,6,000)
[tex]z=10(0)+6(6,000)=36,000[/tex]
therefore
The vertex that maximize the problem is (2,000,4,000)
Answer:
C) (2000, 4000)
Step-by-step explanation:
Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equation can be used to determine how many pages Faith read each night?
Answer:
x= 623/7 x =89 89 pages every night
Step-by-step explanation:
A week has 7 days
She reads 623 pages in one week(623 in 7 days)
8378909u4738938576743898567854ijthguiek
Standard wise. Put innnv graphs[tex]\lim_{n \to \infty} a_n[/tex][tex]\pi[/tex]⇒°О Aproximate form. 623= 624=625 and so on ( yeah you get the point ) so it will623x ex is 699
What is the range of the function f(x) = 3x - 12 for the domain (-2, 2)?
A. (3,12)
B. 4-6, -18)
c. (6, 18)
D. (12,3)
When x=-2
f(x) =3(-2) -12 =-6-12=-18
When x=2
f(x) = 3(2)-12=6-12=-6
So For the domain (-2,2)
Range of the function f(x) is (-18,-6)
So (-18 ,-6). is your answer.
Hope it helps....
Regards,
Leukonov/Olegion.
The range of the function f(x) = 3x - 12 for the domain (-2, 2) is (-18, -6). This is determined by finding the function's output at x = -2 and x = 2, which are the endpoints of the specified domain.
The question asks for the range of the function f(x) = 3x - 12 given the domain (-2, 2). To determine the range, we calculate the output values of the function using the endpoints of the domain.
For the lower endpoint of the domain, x = -2: f(-2) = 3(-2) - 12 = -6 - 12 = -18.
For the upper endpoint of the domain, x = 2: f(2) = 3(2) - 12 = 6 - 12 = -6.
Since the function is a straight line (which is continuous and has a constant rate of change), the range over the interval (-2, 2) is all values between f(-2) and f(2), though not including the endpoints since the domain is open. Thus, the range is (-18, -6).
The correct answer is B. (-18, -6).
please help!!!!!
30 pts!!
Answer:
she can make 3 fruit cakes i don't know the rest
Step-by-step explanation:
The answer is 47 bc that’s what it is
cuanto es 0÷0 necesito ayuda por favor
Answer:
Null (not defined)
Step-by-step explanation:
We cannot divide by 0; division by zero (0) is undefined. If you take calculus later on, you'll "take limits" and will occasionally end up at 0/0. Sometimes it's possible to find a numerical value; more often, it's not.
No podemos dividir por 0; La división por cero (0) no está definida. Si toma el cálculo más adelante, "tomará límites" y en ocasiones terminará en 0/0. A veces es posible encontrar un valor numérico; más a menudo, no lo es.
What is (-6x) to the third power
Answer:
-216 x^3
Step-by-step explanation:
(-6x)^3
This is really (-6x)* (-6x) * (-6x)
-216 x^3
someone help me please
Answer:
You answer should be -12.
Step-by-step explanation:
b2−4ac
=(6)^2−4(4)(3)
=−12
Is 6.333 a irrational number & If so what is it
it is a rational number
Answer:
yes
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex], where a and b are integers
6.333 can be expressed as
6 [tex]\frac{333}{1000}[/tex] = [tex]\frac{6333}{1000}[/tex] ← a rational number
Remove the radical from the denominator below. Do not simplify the answer
I believe the answer is A.
Multiply the top and the bottom by the conjugate of the bottom.
So, multiply the given problem by (6+sqrt 13). This eliminates the radical from the bottom.
estimate the answer by rounding first number to nearest tenth and second number to nearest hundred. 0.65 × 1754. have to type an integer or decimal
Answer:
1260
Step-by-step explanation:
Round 0.65 to 0.7 and round 1754 to 1800. To get 1260, I recommend an easy way to do this. I would take 18 and multiply it by 7, giving us 126. Because it was supposed to be 0.7, not 7, we multiply by 10 because 7/10 is 0.7. This gives us 126 times 10 which equals 1260.
By rounding 0.65 to the nearest tenth and 1754 to the nearest hundred, we get 0.7 and 1800 respectively. Multiplying these gives an estimated product of 1260.
Explanation:To estimate the answer by rounding the first number to the nearest tenth and the second number to the nearest hundred, we start by determining the rounded numbers. The number 0.65 rounded to the nearest tenth is 0.7, and the number 1754 rounded to the nearest hundred is 1800. Multiplying these two rounded numbers together gives us 0.7 × 1800 = 1260.
Therefore, by rounding before multiplying, we can estimate that 0.65 × 1754 is approximately 1260. This estimation technique helps simplify calculations and is very useful when an exact answer is not required, especially when dealing with large numbers or calculations that would otherwise be complex.
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete?
The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.
The graph will be continuous because we are not told a maximum value for the amount of gas.
The graph will be discrete because there are already exactly 4 gallons of gas in the tank, so to fill it up will take a whole number of gallons of gas.
The graph will be discrete because there is an end to the amount of gas she can use, as the tank will be completely full at some point.
Answer:
12
Step-by-step explanation:
add 2 and 5
Plz help me with this
hey friend it is Observational study because it says that her records hourly temperature over the course of several years in order to make a decision(variations) or to analyse his experiments. ;)
Answer: B) Observational Study
Step-by-step explanation:
A) Experiment is when the researcher influences the results in some manner
B) Observational Study is when the researcher observes or measures the data but does not influence the results.
C) Survey is when the researches collects data from a sample group to evaluate data about a larger group.
What is the volume of the following rectangular prism?
Answer:
You multiply the L, W, and H. that should you to your answer!
Hope this helps! :)
Step-by-step explanation:
Yup (l x w x h) = volume of prism.
(L x w) = area
What is the volume of the following triangular prism? 252 yd 3 126 yd 3 42 yd 3 84 yd 3
(I just did this quiz lol)
Answer:
42 yards
Step-by-step explanation
we know that
The volume of the triangular prism is equal to
where
B is the area of the triangular base
H is the height of the prism
Convert 9 Ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
Find the area of the base B
we have
substitute the values in the formula
v=BH
v=(6)(7)=42 yd
Answer:
42
Step-by-step explanation:
help needed on highlighted questions! 20 points
For this case we must solve the following questions:
Question 1:
We must solve the following quadratic equation:
[tex]x ^ 2 + 1 = 0[/tex]
We subtract 1 from both sides of the equation:
[tex]x ^ 2 + 1-1 = -1\\x ^ 2 = -1[/tex]
We apply square root to eliminate the exponent:
[tex]x = \pm \sqrt {-1}[/tex]
The solution is not real.
[tex]x_ {1} = + i\\x_ {2} = - i[/tex]
Answer:
[tex]x_ {1} = + i\\x_ {2} = - i[/tex]
Option D
Question 2:
We must solve the following quadratic equation:
[tex]x ^ 2-10x + 24 = 0[/tex]
We factor the equation, that is, we must look for two numbers that when multiplied give as result 24 and when summed with -10. These numbers are -6 and -4:
[tex]-6-4 = -10\\-6 * -4 = 24\\(x-6) (x-4) = 0[/tex]
The roots are:
[tex]x_ {1} = 6\\x_ {2} = 4[/tex]
ANswer:
[tex]x_ {1} = 6\\x_ {2} = 4[/tex]
Option D
Question 3:
We must complete squares of the following expression:
[tex]x ^ 2-18x = 7[/tex]
We add [tex](\frac {b} {2}) ^ 2 = (\frac {-18} {2}) ^ 2 = (- 9) ^ 2[/tex]
Then:
[tex]x ^ 2-18x + (- 9) ^ 2 = 7 + (- 9) ^ 2\\x ^ 2-18x + (- 9) ^ 2 = 7 + 81\\x ^ 2-18x + (- 9) ^ 2 = 88\\(x-9) ^ 2 = 88[/tex]
Then, to complete the square, add it to both sides [tex](-9) ^ 2 = 81[/tex]
Answer:
Option C