Answer:
≈0.76
Step-by-step explanation:
P(A) = 0.33
P(A and B) = 0.25
P(B) = ?
-------------
Probability of two events happening is the product of individual probabilities
P(A and B) = P(A)×P(B)Then to find the probability of one of the events:
P(B) = P(A and B) / P(A)P(B) = 0.25 / 0.33 ≈ 0.76What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
Answer:
So you kinda forgot to mention the part where y = -1/2 but the answer is 157
Step-by-step explanation:
4(x^2 +3) - 2y
replace the variables
4(-6^2 +3) - 2 (-1/2)
use PEMDAS to solve
so parenthesis first and exponents
4(6x6 +3) -2 (-1/2)
4(36 +3) -2 (-1/2) (since you multiply a - by a - you get a +)
4(39) -2 (-1/2) (again - and a - is a positive)
4(39) + 1
156 + 1
157 there it is i got a 5 of 5 on my test and have a nice day :D
Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Increasing x 0 Increasing x > 0; Decreasing x 3 Increasing x > 3; Decreasing x < 3
Answer:
increasing: x > 0
decreasing: x < 0
Step-by-step explanation:
It should be no mystery that the graph attached is decreasing where the graph is blue, and increasing where the graph is red. The turning point is the vertex.
increasing: x > 0
decreasing: x < 0
Find the measure of each angle: ∠3 and ∠4 are supplementary. m∠3 = 5x + 22 and m∠4 = 7x + 2.
Answer:
∠3 = 87°∠4 = 93°Step-by-step explanation:
Since ∠3 and ∠4 are supplementary it means the the sum of their angles is equal to 180°
To find the angles add both ∠3 and ∠4 and equate it to 180° solve for x and substitute it into their various expressions
That's
∠3 + ∠4 = 180
5x + 22 + 7x + 2 = 180
12x + 24 = 180°
12x = 180 - 24
12x = 156
Divide both sides by 12
x = 13
So for ∠3
∠3 = 5x + 22
∠3 = 5(13) + 22
= 65 + 22
∠3 = 87°
For ∠4
∠4 = 7x + 2
∠4 = 7(13) + 2
= 91 + 2
∠4 = 93°
We have the answers as
∠3 = 87°∠4 = 93°Hope this helps you
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ m \: ∠ \: 3 = 87 °}}}}[/tex]
[tex] \boxed{ \bold{\boxed{ \sf{m \: ∠4 = 93 °}}}}[/tex]
Step-by-step explanation:
We know that the sum of supplementary angle adds up to 180 °
So,
[tex] \sf{5x + 22 + 7x + 2 = 180°}[/tex]
Collect like terms
⇒[tex] \sf{12x + 22 + 2 = 180°}[/tex]
Add the numbers
⇒[tex] \sf{12x + 24 = 180°}[/tex]
Move 24 to right hand side and change it's sign
⇒[tex] \sf{12x = 180 - 24}[/tex]
Subtract 24 from 180
⇒[tex] \sf{12x = 156}[/tex]
Divide both sides of the equation by 12
⇒[tex] \sf{ \frac{12x}{12} = \frac{156}{12} }[/tex]
Calculate
⇒[tex] \sf{x = 13}[/tex]
Value of x = 13
Now, substituting / Replacing the value of x
[tex] \sf{m ∠ 3 = 5x + 22}[/tex]
⇒[tex] \sf{ m \: ∠ \: 3 = 5 \times 13 + 22}[/tex]
⇒[tex] \sf{m \: ∠ \: 3 = 65 + 22}[/tex]
⇒[tex] \sf{ \: m \: ∠ \: 3 = 87}[/tex]
Again,
[tex] \sf{ \: m \: ∠ \: 4 = 7x + 2 }[/tex]
⇒[tex] \sf{m \: ∠ \: 4 = 7 \times 13 + 2}[/tex]
⇒[tex] \sf{ \: m \: ∠ \: 4 \: = 91 + 2 }[/tex]
⇒[tex] \sf{m \: ∠ \: 4 = 93 }[/tex]
m ∠ 3 = 87
m ∠ 4 = 93
Hope I helped!
Best regards!!
Write the following as an equation:
"2 times a number, x, is equal to 6 less than x"
Answer:
-6
Step-by-step explanation:
2x = x-6
subtract x from both sides
x = -6
Answer:
2x=x-6
Step-by-step explanation:
2 times a number -> 2x
6 less than x -> x-6
Our equation would be:
2x=x-6
Subtract x from both sides.
2x-x=x-x-6
Combine like terms
x=-6
Use the First Derivative Test to determine whether the critical point is a local min or max (or neither). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x)=(ln(2x)/8x)-7 (x>0)
Also determine the intervals on which the function is increasing or decreasing.
Answer:
Step-by-step explanation:
Let be [tex]f(x) = \frac{1}{8\cdot x}\cdot \ln(2\cdot x) -7[/tex], the first and second derivatives of the function are, respectively:
[tex]f'(x) = \frac{\left(\frac{2}{2\cdot x}\right)\cdot 8\cdot x-8\cdot \ln (2\cdot x) }{64\cdot x^{2}}[/tex]
[tex]f'(x) = \frac{8-8\cdot \ln (2\cdot x)}{64\cdot x^{2}}[/tex]
[tex]f'(x) = \frac{1-\ln(2\cdot x)}{8\cdot x^{2}}[/tex]
[tex]f''(x) = \frac{\left(-\frac{2}{2\cdot x} \right)\cdot (8\cdot x^{2})-[1-\ln(2\cdot x)]\cdot (16\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = \frac{-8\cdot x-16\cdot x+16\cdot x\cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = \frac{-24\cdot x+16\cdot x \cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = -\frac{3}{8\cdot x^{3}}+\frac{\ln (2\cdot x)}{4\cdot x^{3}}[/tex]
Now, let equalise the first derivative to zero and solve the resulting expression:
[tex]\frac{1-\ln(2\cdot x)}{8\cdot x^{2}} = 0[/tex]
[tex]1-\ln(2\cdot x) = 0[/tex]
[tex]\ln(2\cdot x) = 1[/tex]
[tex]\ln 2 +\ln x = 1[/tex]
[tex]\ln x = 1-\ln 2[/tex]
[tex]x = e^{1-\ln 2}[/tex]
[tex]x = \frac{e}{e^{\ln 2}}[/tex]
[tex]x = \frac{e}{2}[/tex]
[tex]x \approx 1.359[/tex]
This result is evaluated at the second derivative expression:
[tex]f''(1.359) =-\frac{3}{8\cdot (1.359)^{3}}+\frac{\ln [2\cdot (1.359)]}{4\cdot (1.359)^{3}}[/tex]
[tex]f''(1.359)\approx -0.050[/tex]
The critical value leads to a critical maximum and there are two intervals:
[tex](0, 1.359)[/tex] - Increasing
[tex](1.359,+\infty )[/tex] - Decreasing
The graphic of the function is presented below as attachment.
WHY IS THE AU USEFUL?
Answer:
The objectives of the AU are the following: To achieve greater unity, cohesion and solidarity between the African countries and African nations. To defend the sovereignty, territorial integrity and independence of its Member States. To accelerate the political and social-economic integration of the continent.
Step-by-step explanation:
Answer:
because they help people "achieve greater unity"
Add 3 + (-27) using the number line.
Select the location on the number line to plot the sum
-2
1
-1
0
1
2
1
1
2
2
12
Answer:
3/4+(-2 1/2)
Exact form -7/4
Decimal form -1.75
mixed number -1 3/4
for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity
Answer:
ITS UNDEFINED
Step-by-step explanation:
2-3)/2^2 - 4
-1/(4-4)
-1/0
ITS UNDEFINED
Answer:
[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]
When x = 2.
We can see that the denominator is equal to 0 when the input value is 2.
[tex]2^2-4=4-4=0[/tex]
Obtaining a zero in the denominator indicates a point of discontinuity.
In the graph below, we can see that the function is discontinuous at x = 2.
[tex]\rule[225]{225}{2}[/tex]
Write 1.005 as a mixed number. Then write how to read this number aloud.
Answer:
1 1/200
Step-by-step explanation:
1 1/200
one and one two-hundreth
Michael will rent a car for the weekend . He can choose one of two plans. The first plan has no initial fee but costs $0.80 per mile driven . The second plan has an initial fee of $75 and costs an additional $0.60 per mile driven How miles would Michael need to for the two plans to cost the same ?
Answer:
375 miles
Step-by-step explanation:
Set it up as an equation where m=miles
$75 +.6m=.80m
An international company has 29,700 employees in one country. If this represents 29.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
99, 664
Step-by-step explanation:
Let company has total x employees.
[tex]29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: [/tex]
Answer: 99,664 employees in total
Step-by-step explanation:
So if 29.8% of the total people is 29,700 people then we could represent that by the equation.
29.8% * x = 29,700 where x is the total people.
0.298 * x = 29,700
0.298x = 29,700
x = 99,664.429
Rounded to the nearest whole number is 99,664
Christopher read 4 books in 2 months. What was his rate of reading in books per
month?
when dividend is 45324 and divisor is 5, find the quotient and remainder
Answer:
45324÷5=9064
remainder=4
Hope it helps you!!
Amy was looking at a table of conversions from meters to kilometers. The table showed that 2 kilometers are equivalent to 2,000 meters, How can she determine how many kilometers are equivalent to 8,000 meters? Explain
Answer:
8 km
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
x 8000 km
--------- = -----------------
2 km 2000 m
Cross-multiplying, we get (2000 m)x = (8000 m)(2 km),
which reduces to x = 8 km
Answer:
Step-by-step explanation:
Since the table showed her that 2 km = 2000m.
To determine, how many km in 2000m, she would divide by 1000.
= 2000 / 1000 = 2 km.
Similarly, for 8000m = 8000 / 1000 = 8 km
10 times as many as 1 hundred is ---- hundreds or -------- thousand
Answer:
10 hundreds or 1 thousand
Step-by-step explanation:
1 hundred is 100. 10 * 100 = 1,000. Just count the zeros in the factors (there's 1 zero in 10 and 2 zeros in 100) and then put them all at the end of the answer to get 3 zeros, which is 1,000, or one thousand.
The area of a trapezoid is
230 cm². The height is
20 cm and the length of one of the parallel sides is
8 cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
The answer is 15cmStep-by-step explanation:
Let b be the length of the second parallel side
Area of a trapezium is given by
[tex]A = \frac{1}{2} (a + b)h[/tex]
where
h is the height
a and b are the parallel sides
From the question
Area = 230 cm²
height = 20cm
one of parallel side / a = 8 cm
Substitute the values into the above formula and solve for b
That's
[tex]230 = \frac{1}{2} ( 8 + b) 20[/tex]
Reduce the fraction with 2
That's
[tex]230 = (8 + b) \times 10[/tex]
Expand the terms
That's
[tex]230 = 80 + 10b[/tex]
[tex]10b = 230 - 80 \\ 10b = 150[/tex]
Divide both sides by 10
We have the final answer as
b = 15cmHope this helps you
How many people like 2 kinds of dancing but not all 3 kinds of dancing?
Answer:
38 people
Step-by-step explanation:
add 11, 18, and 9 together
Please help asap!!!!!!
Answer:
the anser of this question for a is 17
Step-by-step explanation:
all sides are the same
In the expression, what is the variable, the coefficient, and the constant?
25w+55
Drag the answer into the box to match each part of the expression.
Step-by-step explanation:
In expression:25w+55
variable=w
cofficient = coefficient of variable (w)=25
constant=55
In the given expression variable is "w", the coefficient is "25" and the constant is"55".
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression
25w+55
Now, in general, the variable is given by an English symbol so "w" will be the variable.
The constant which in multiply of variable is called coefficient so "25" will be coefficient.
Now,
The only remaining term "55" is a constant.
Hence "In the given expression variable is "w", the coefficient is "25" and the constant is"55".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
Answer for this? I need to solve for X. Explanation would be helpful too. Thanks
Answer:
22
Step-by-step explanation:
2x+4+x-10=60
3x-6=60
3x=66
x=22
Answer:
[tex]\boxed{\bold{\huge{\boxed{Option \ 4: \ x = 22}}}}[/tex]
Step-by-step explanation:
If AD is a ray inside angle ABC
Then
∠ABD + ∠DBC = ∠ABC
2x + 4 + x - 10 = 60
3x - 6 = 60
Adding 6 to both sides
3x = 60 + 6
3x = 66
Dividing both sides by 3
x = 22
in the first quadrant you start at 3,7 and move 3 units down what is the point you end up with
Answer:
(3, 4).
Step-by-step explanation:
The x coordinate stays the same but the y coordinate becomes 7 - 3 = 4.
Form the intersection for the following sets.
R={10, 15, 20}
S = {20, 25}
R ∩S=
{10,15,25}
{10,15,20,25}
{20}
{}
Answer:
Your required answer is option is {20}.
Step-by-step explanation:
Hey, there!!
The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.
Here,
R = {10,15,20}
S = {20,25}.
Now, 20 is common im both so,
R intersection S = {20}.
Hope it helps...
13. Given the function g(x) graphed here.
a. Evaluate g(-3).
b. Solve g(x) = 3.
7+
6
5+
+
2
-
Answer:
[tex]g(-3) = 2[/tex]
[tex]g(0) = 3[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine
[tex]g(-3)[/tex]
[tex]g(x) = 3[/tex]
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
[tex]g(-3) = 2[/tex]
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
Hence;
[tex]g(0) = 3[/tex]
Please help me out! :)
Answer:
Add −11 and 5.
−6
Move 5 spaces to the right starting from -11 and you will end up at -6! (●'◡'●)
Answer:
-6
Step-by-step explanation:
So we want to find the value of:
[tex](-11)+5[/tex]
Simply add:
[tex](-11)+5=-6[/tex]
Further notes:
Again, to use the number line, place the first point at -11. Since we are adding, we move to the right.
So, starting at -11, move 5 spaces to the right. You should end up at -6, confirming our previous answer.
an astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. how much would a person weigh on the moon if they weigh 95 kilograms on earth? (round your answer if you have to)
Hi there! :)
Answer:
[tex]\huge\boxed{15.87kg}[/tex]
To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:
[tex]\frac{14.2kg}{85kg} = \frac{x}{95kg}[/tex]
Cross multiply:
[tex]14.2 * 95 = 85 * x[/tex]
[tex]1349 = 85x[/tex]
Divide both sides by 85:
[tex]1349/85 = 85x/85[/tex]
[tex]x = 15.87 kg[/tex]
Answer:
15kg
Step-by-step explanation:
85/14.2=5.98
95/6=15
A bag has 2 yellow, 7 red, and 1 green marble. What is the probability of picking a red marble, replacing it, and then picking another red marble?
Answer:
Total # of marbles: 10
# of red marbles: 7
Probability of choosing a red marble out of 10 marbles: 7/10
Then in the second round, you replace that marble so you still have a total of 10 marbles and 7 of them will still be red: 7/10
Multiply...
7/10 x 7/10 = 49/100
PROBABILITY: 49/100 (or 49%)
Hoped I helped
Which statement is true about a unit cube?
Answer:
Quadrant 2 I think.
Step-by-step explanation:
You stet on the x axis wich is positive and you second number on the y axis is negitive
what is 190000000000000000000999999x33
Answer:
5.7e+26
If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.
Answer:
6.2700000 E27 (?)
Hope I helped!
PLEASE HELP!!!! THE WEBSITE ISN'T WORKING FOR ME!! Is it working for anyone else?!?!
Go to the U.S. Census Bureau's Historical National Population Estimates, 1900 to 1999 website. Write the national population of the United States for 1999 and the average annual change (growth rate given in percent) for that year.
Answer:
272,690,813 2,442,810 0.90
national population . popullation change . average annual percent change
Step-by-step explanation:
The total cost f(x), in dollars, for renting a beach house for x days is shown:
f(x) = 5 + 350x
What does f(5) represent?
Answer:
See below.
Step-by-step explanation:
So we have a function f(x) which is:
[tex]f(x)=5+350x[/tex]
And this represents the total cost (f(x)) in dollars for renting a beach house for x days.
If we use 5 for x:
[tex]f(5)=5+350(5)[/tex]
Multiply:
[tex]f(5)=5+1750=1755[/tex]
This means that the total cost to rent the beach house for 5 days is $1755.
Answer:
The cost of renting the house for 5 days
$1755 for 5 days
Step-by-step explanation:
We are given the function:
f(x) = 5+350x
f(x) represents the total cost in dollars and x represents the days.
If we want to find f(5), we must substitute 5 in for x.
f(5) = 5+350(5)
Multiply 350 and 5.
f(5)= 5+ 1750
Add 5 and 1750.
f(5)= 1755
x represents days and we substituted 5 in for x. Therefore, f(5) represents the cost of renting the beach house for 5 days. f(5) is equal to 1755.
So, It will cost $1755 to rent the beach house for 5 days.