Answer:
e. 0.308.
Step-by-step explanation:
I can't draw the tree diagram but the answer is
P(red first) = 7/14 = 1/2
P( then black) = 4/13
P(red then black) = 1/2 * 4/13 = 2/13
P(black first) = 4/14 = 2/7
P( then red) = 7/13
P(black then red) =2/7 * 7/13 = 2/13
So Probability of red and black in any order
= 2/13 + 2/13 = 4/13
= 0.308.
please answer question below asap!
Answer:
36 students.
Step-by-step explanation:
5 + 7 = 12.
So the number of students must be a multiple of 12.
So as the number is between 25 and 43 it must be 36.
50 points Select the correct answer
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answer:The answer is A: b^4/a
Step-by-step explanation:now i dont rly have an explaination but i got this in my test so ik its right!
100% verrified!
Please help
Use the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
9. Identify the median. Round to the nearest tenth.
10. Calculate the mean. Round to the nearest tenth.
11. Calculate the mode. Round to the nearest tenth.
12. Predict how the median will change if a 21 is added to the data set. Identify the new median.
13. Predict how the mean will change if an 18 is added to the data set. Calculate the new mean.
Answer:
9. Median: 14
10. Mean: 14.1
11. Mode: No Mode
12. New Median: 14.5
13. New Mean: 14.625
Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.
The graph can be seen at the end, and the piecewise function for the part above the x-axis is:
f(x) = x^2 - 4 if x ∈ (-∞, -2] or x ∈ [2, ∞)
f(x) = 4 - x^2 if x ∈ (-2, 2).
How to write the equation?
First, we need to graph both functions, so we can see when each one is positive, the graphs of:
y = x^2 - 4
y = 4 - x^2
Can be seen at the end.
So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)
So for the part of the function above the x-axis we have a piecewise function:
f(x) = x^2 - 4 if x ∈ (-∞, -2] or x ∈ [2, ∞)
f(x) = 4 - x^2 if x ∈ (-2, 2).
If you want to learn more about piecewise functions:
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Answer:
y= |x^2-4|
Step-by-step explanation:
Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.
I need the numbers please con y’all help me
Answer:
y=2/3x+4
Step-by-step explanation:
4 is y-intercept
2/3 is the slope (rise/run)
Answer: y = [tex]\frac{2}{3}[/tex]x + 4
Step-by-step explanation:
This is in slope-intercept form. We are missing the m and the b value. See attached for more information.
[m aka the slope]
Starting from point (-6, 0), counting up 2 units, then right 3 units to point (-3, 2), gives us a slope of [tex]\frac{2}{3}[/tex] via rise-over-run
[b aka the y-intercept]
The line intersects the y-axis at positive 4.
-> This value is "4"
On a recent math test, Carlos had to find the volume of the rectangular prism below. He gave the answer of 60 in3, which was marked incorrect. Help Carlos understand how to correctly find the volume of the prism.
A cube that is eight inches in length, ten inches in width, and six inches in height.
Answer:
480 in
Step-by-step explanation:
Rectangular Prism Formula :
V=whl
Which,
W = Width
H = Height
L = Length
Solve:
Given that:
Length = 8 in
Width = 10 in
Height = 6 in
Since the formula is:
V = whl
Then,
V = 8 × 10 × 6
V = 80 × 6
V = 480 in
Kavinsky
Please help me find the answer to this problem.
Answer:
numerator - is 2, 15, 18, 6
denominator - is 12, 14, 33, 8, 64
Step-by-step explanation:
2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32
In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week. What type of statistical test would you use to see whether men and women differ in the extent to which they eat meals on campus at least three times a week
The statistical test would be a Z-test for the difference between the proportions.
What is Z-test?The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.
We have:
In a recent poll among 500 students, it was found that 60% of women and 68% of men eat meals on campus at least 3 times a week.
From the above data and the definition of the Z-test, the statistical test would be a Z-test for the difference between the proportions.
Thus, the statistical test would be a Z-test for the difference between the proportions.
Learn more about the Z-test here:
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The measures of the angles of a triangle are shown in the figure below solve for X
Answer:
36
Step-by-step explanation:
We know all angles in a triangle must add up to 180°
The square in the triangle that angle is equal to 90°
We can now solve for x
90 + 54 + x = 180
144 + x = 180
x = 36
That is your answer
- Kan Academy Advance
Cookie jar contains 6 vanilla cookies, 4 chocolate cookies, and 9 lemon cookies.
one cookie is randomly picked from the jar.
find p (a vanilla cookie) =
p (a chocolate or lemon cookie) =
p (not a lemon cookie) =
p (a vanilla or chocolate or lemon) =
p (a peanut butter cookie) =
p (a vanilla cookie) = 6/19
p (a chocolate or lemon cookie) = 13/19
p (not a lemon cookie) = 10/19
p (a vanilla or chocolate or lemon) = 10/19
p (a peanut butter cookie) = [There's no peanut in the info you gave, sorry]
If you can simplify the fractions, then simplify
What is the simplified value of the exponential expression 16 Superscript one-fourth?
2
4
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex] {16}^{ \frac{1}{4} } \: is \: the \: same \: as \\ \\ \sqrt[4]{16} = \sqrt[4]{ {4}^{2} } [/tex]
Note we broke down the 16 into 4 squared*. This is because 4 squared is the same as 16. The four and the two would cancel each other leaving:
[tex] \sqrt[2]{4} \;\\ or \\ \: \sqrt [2]{{2}^{2}} [/tex]
Like before the two and the two would cancel each other out leaving:
[tex]2[/tex]
Answer:
C. 2
Step-by-step explanation:
edge
solve the inequality 9.5+6x>=42.1
Answer:
x >/= 8.6
Add 9.5 to 42.1 then divide by 6
Step-by-step explanation:
100 POINTS I WILL MARK BRAINLIST
Solve this equation using the method of completing the square:
3x^2 + 24x - 24 = 0
Potential answers:
x = -2 +/- 4sqrt6
x = 4 +/- 2sqrt6
x = 2 +/- 4sqrt6
x = -4 +/- 2sqrt6
Answer:
[tex]\boxed{\sf x = -4 \pm 2\sqrt{6} }[/tex]
Explanation:
3x² + 24x - 24 = 0
factor the coefficient
3(x² + 8x) -24 = 0
Halve the second term and square it
3(x + 4)² -24 -3(4)² = 0
simplify the answer
3(x + 4)² -72 = 0
add 72 on both sides
3(x + 4)² = 72
divide both sides by 3
(x + 4)² = 24
square root both sides
x + 4 = ±√24
subtract both sides by 4
x = -4 ± 2√6
Answer:
[tex]x=-4\pm2\sqrt{6}[/tex]
Step-by-step explanation:
Completing the square for quadratic in the form [tex]ax^2+bx+c=0[/tex]
Given equation:
[tex]3x^2+24x-24=0[/tex]
Factor out 3:
[tex]\implies 3(x^2+8x-8)=0[/tex]
Divide both sides by 3:
[tex]\implies x^2+8x-8=0[/tex]
Add 8 to both sides:
[tex]\implies x^2+8x=8[/tex]
[tex]\textsf{Add }\: \left(\dfrac{b}{2}\right)^2\: \textsf{ to both sides}:[/tex]
[tex]\implies x^2+8x+\left(\dfrac{8}{2}\right)^2=8+\left(\dfrac{8}{2}\right)^2[/tex]
[tex]\implies x^2+8x+16=8+16[/tex]
[tex]\implies x^2+8x+16=24[/tex]
Factor the left side:
[tex]\implies (x+4)^2=24[/tex]
Square root both sides:
[tex]\implies x+4=\pm2\sqrt{6}[/tex]
Subtract 4 from both sides:
[tex]\implies x=-4\pm2\sqrt{6}[/tex]
Which of these tables does NOT represent a function?
somebody please help me?
Answer:
Step-by-step explanation:
Comment
There are 9 marbles all together.
2 are green4 are red3 are blueThe important fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.
Solution
First marble: Blue = 3/9 = 1/3
Second marble: Green 2/8 = 1/4
The probability of that happening is
P(blue,Green) = 1/3 * 1/4 = 1/12
Answer P(blue, green) = 1/12
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed? (Hint: 1 quart
gallon)
Answer:
4 quarts
Step-by-step explanation:
1 gallon is equal to 4 quarts
Please Help I Don't Understand
Answer:
[tex] \frac{8}{5} = \frac{2}{m - 3} \\ \\ \implies \: 8(m - 3) = 2 \times 5 \\ \\ \implies \: 8m - 24 = 10 \\ \\ \implies \: 8m = 10 + 24 \\ \\ \implies \: 8m = 34 \\ \\ \implies \: m = \frac{34}{8} \\ \\ \implies \: \boxed{m = 4.25}[/tex]
therefore , second option is correct.
hope helpful ~
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the obtcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 6. Event B: The sum is divisible by 4. Write your answers as fractions.
Answers:
P(A) = 7/12
P(B) = 1/4
====================================================
Explanation:
Instead of having one die, let's say we have two dice. I'll make one red and the other blue.
I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.
Using that table, we can see the following:
There are 6 copies of "7"There are 5 copies of "8"There are 4 copies of "9"There are 3 copies of "10"There are 2 copies of "11"There is 1 copy of "12"In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.
This is out of 36 ways to roll two dice.
Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12
-----------------------------------
If a number is divisible by 4, then it is a multiple of 4.
The multiples of 4 found in the table are: 4, 8, 12
We have
3 copies of "4"5 copies of "8"1 copy of "12"This gives 1+5+3 = 9 values that are a multiple of 4
P(B) = 9/36 = (1*9)/(4*9) = 1/4
Solve the equation X = 64 for x.
ОА. -32, 32
O B. -8, 8
OC. 8
OD 32
please help
Answer:
B
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.
Answer:
$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
seams very unrealistic lol
Answer:$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
( i will give brainlist ) What is the equation of the following graph?
Answer:
y= ⅓x +2
Step-by-step explanation:
Since the graph is a linear graph, let's use the slope-intercept form to find its equation.
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.
Thus, y= mx +2.
Let's find the slope of the graph.
First, identify 2 pairs of coordinates from the graph:
(0, 2) and (3, 3)
Next, substitute these coordinates into the slope formula below:
[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
slope
[tex] = \frac{3 - 2}{3 - 0} [/tex]
[tex] = \frac{1}{3} [/tex]
Thus, the equation of the graph is y= ⅓x +2.
Determine the following for each sinsusoidal functions
Answer
whats the question
Step-by-step explanation:
Hi everyone i hope you can help with this exercise
s = area = 11.76
p = perimeter = 16.8
r=2*11.76/16.8=23.52/16.8=1.4
r=1.4
a= 90 degrees
b=36.87 degrees
c=53.13 degrees
triangle is in a circle
Circumradius: R = 3.5
Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?
(please put you solution)
Answer:
4 19/36
Step-by-step explanation:
we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.
=> 10 2/9 + 5 1/4
As a c/d is a + c/d,
10 2/9 + 5 1/4 can also be written as 10+5+2/9+1/4
now we have to simplify it
=> 10+5 = 15
=> 2/9 = (2*4)/9*4) = 8/36, 1/4 = (1*9)/(4*9) = 9/36
now we have the same denominators
add,
8/36 + 9/36 = (8+9)/36 = 17/36
=> now we know that 10 2/9 + 5 1/4 is 15 17/36 ( which is 15 + 17/36)
=> next step is to convert 15 17/36 into an improper fraction
15 17/36 = [(15*36)+17]/36 = [540+17]/36 = 557/36
=> now we just have to subtract 557/26 from 20
20 - 557/36 = [(20*36)-557]/36 = [720-557]/36 = 163/36
=> we can convert 163/36 into a mixed fraction if we want to
163/36 converted into mixed fraction is 4 19/36
hope this helps :)
Help me I can’t seem to figure this one out
Answer:
See below
Step-by-step explanation:
Expand it a bit to see:
= [tex]\sqrt[5]{ 2^5 * 7 * x^5 * x^5 * x * y^5 * y^3}[/tex]
=[tex]2x^2y \sqrt[5]{7xy^3}[/tex]
GIVING BRAINLIEST!!!!!
Step-by-step explanation:
144 degree is right answer.
Answer:
144°
Step-by-step explanation:
The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.
From B to D, it requires 2 rotations.
Rotation angle needed = 72° × 2Rotation angle needed = 144°please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)
What is the average rate of change?
Answer:
-3
Step-by-step explanation:
Formula for average rate of change :
A(x) = f(a) - f(b) / a - bSolving :
A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time
The time at which the buses will leave at the same time is 8:40 am.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 3 x 2 = 6
2 is a factor of 3.
We have,
Buses:
X leaves every 25 minutes.
Y leaves every 20 minutes.
We need to find the least common multiples of 25 and 20.
25 x 4 = 100
20 x 5 = 100
100 is our least common multiple of 25 and 20.
We see that,
4 is a factor of 24 which gives 100.
This means after 4 times, bus X will leave with bus Y at the same time.
5 is a factor of 20 which gives 100.
This means after 5 times, bus Y will leave with bus X at the same time.
The first buses to X and Y leave a bus station at 7 am.
After 100 minutes, buses X and Y will leave at the same time.
= 7am + 100 minutes
= 7 + 60 minutes + 40 minutes
= 7 + 1 hour + 40 minutes
= 8:40 am
Thus,
The time at which the buses will leave at the same time is 8:40 am.
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Two right angles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle A true B false
its true
they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar
if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar
A cylindrical tank has diameter 3.2 m and length
12.7 m.
What is the surface area of the tank, to 1 decimal
place?
Answer:
143.8 m²
Explanation:
Surface Area of cylinder = 2πr(r + h)
Here given,
diameter: 3.2 mradius: d/2 = 3.2/2 = 1.6 mlength: 12.7mSurface Area of cylinder:
⇒ 2π(1.6)(1.6+ 12.7)
⇒ 174.2955 m²
⇒ 143.8 m² (rounded to nearest 1 decimal place)