Answer:
The probability of choosing a yellow marble then choosing another one without replacement is 1/30.
Step-by-step explanation:
First, get the total amount of marbles.
5 + 7 + 4 + 6 + 3 = 25 total marbles.
Now find the probability of finding a yellow marble.
P = 5 yellow marbles / 25 total marbles.
Now find the probability of finding a yellow marble after pulling one without replacement.
P = 4 yellow marbles / 24 total marbles.
To find the probability of both events happening, multiply the probabilities together.
(5/25) * (4/24)
Multiply the numerators and denominators.
20/600
Simplify.
1/30.
The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5
help please help help help
Answer:
area = 32
perimeter = 30
Step-by-step explanation:
Formulas:
Area of a parallelogram: A = bh
Perimeter of a parallelogram: P = 2 ( b + s )
Where h = height s = slant height and b = base length
Define:
b = 8
h = 4
s = 7
Plug in given values into formulas and calculate
A = (8)(4)
8 * 4 = 32
A = 32
P = 2 ( 8 + 7 )
8 + 7 = 15
2(15) = 30
P = 30
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?
А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x
Answer:
C. [tex]\displaystyle y = 5e^{tan(x)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1Algebra II
Logarithms and Natural logsEuler's number eCalculus
Derivatives
Derivative Notation
Trig Derivatives
Differential Equations
Separation of variablesGeneral and particular solutionsAntiderivatives - Integration
Integration Constant C
Trig Integration
Logarithmic Integration
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{dy}{dx} = ysec^2(x)[/tex]
x = 0, y = 5
Step 2: Rewrite Differential
Separation of variables
[Division Property of Equality] Isolate y terms together: [tex]\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)[/tex][Multiplication Property of Equality] Isolate x terms together: [tex]\displaystyle \frac{1}{y}dy = sec^2(x)dx[/tex]Step 3: Find General Solution
[Equality Property] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|y| = \int {sec^2(x)} \, dx[/tex][2nd Integral] Integrate [Trig Integration]: [tex]\displaystyle ln|y| = tan(x) + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^{ln|y|} = e^{tan(x) + C}[/tex]Simplify: [tex]\displaystyle |y| = Ce^{tan(x)}[/tex]Rewrite: [tex]\displaystyle y = \pm Ce^{tan(x)}[/tex]Step 4: Find Particular Solution
Substitute in variables [Function]: [tex]\displaystyle |5| = Ce^{tan(0)}[/tex]Evaluate absolute value: [tex]\displaystyle 5 = Ce^{tan(0)}[/tex]Evaluate trig: [tex]\displaystyle 5 = Ce^0[/tex]Evaluate exponent: [tex]\displaystyle 5 = C(1)[/tex]Multiply: [tex]\displaystyle 5 = C[/tex]Rewrite: [tex]\displaystyle C =5[/tex]Substitute in C [General Solution]: [tex]\displaystyle y = 5e^{tan(x)}[/tex]∴ Our answer is C.
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differential Equations
Book: College Calculus 10e
Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo
Answer:a
Step-by-step explanation:
A bucket holds 243.5 oz of water. The bucket loses 0.5 oz of water per second. In how many seconds will the bucket be 40% full?
2+2=?
i dont remember this, its too complex for me someone help asap
ahem ahem
2+2=69
it's 4 thanks for the points
Please help!!! DUE SOON!!
YOU WILL GET 25 POINTS!
Answer:
9. 105
10. 50
11. 55
Step-by-step explanation:
9. 180-75=m<EFB
10. 90-40=m<EGB
11. 75+50+m<FBG=180
what is the sign of -8+8
it is 0
there is no sign to -8 + 8
Answer:
Your answer would be 0
Step-by-step explanation:
if you were asking a question like, 8+8 your answer would be, 16. Correct me if I'm wrong. ☆
Identity the slope and y intercept
Answer:
3,-2
Step-by-step explanation:
From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,
The line passes through (0,3) and (1.5,0) .Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.
Slope :-
→ m = 3 - 0 / 0 - 1.5
→ m = 3/-1.5
→ m = -2
• Hence the y Intercept is 3 and the slope is (-2) .There are 19 birds in a pond, all of which are ducks or geese. If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?
A. 6
B. 9
C. 10
D. 13
d I think d
Step-by-step explanation:
yayasjsjamaaak
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Teresa chooses a marble at random, and without putting it
back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.
Answer:
Probability[First marble blue, second is green without replacement] = 1/12
Step-by-step explanation:
Given:
Number of green marble = 3
Number of red marble = 4
Number of blue marble = 2
Total marble = 9 marble
Find:
Probability[First marble blue, second is green without replacement]
Computation:
Probability of an event = Number of favorable outcome / Number of total outcome
Probability[First marble blue] = 2 / 9
Probability[second is green] = 3 / [9-1]
Probability[second is green] = 3 / 8
Probability[First marble blue, second is green without replacement] = Probability[First marble blue] x Probability[second is green]
Probability[First marble blue, second is green without replacement] = [2/9][3/8]
Probability[First marble blue, second is green without replacement] = 6 / 72
Probability[First marble blue, second is green without replacement] = 1/12
I don't see how to do this...............................
Step-by-step explanation:
So visually youre given the function
for h(-4) it can also be written as h(-4) = y
what do you get for y when you substitute - 4 for x?
All you have to do is trace the line until you get to x=-4 and then find the y that corresponds to it (looks like around y= - 1)
for the other one h(x) = - 5
what do you get for x when you substitute - 5 for y?
what you do is similar, trace the line along the y-axis and see what x-value you get for y =-5
Answer:
3 and x = 0
Step-by-step explanation:
To find the value of h(- 4)
Locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 3 )
Then the value of h(- 4) = 3
For h(x) = - 5
Locate y = - 5 on the y- axis. This is the point (0, - 5)
then the value of x for which h(x) = - 5 is x = 0
Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.
There is a photo. No explanation needed just answer thank you
2|5-10|-|-3| please provide a step by step explanation (:
Step-by-step explanation:
[tex]2 |5 - n| - | - 3| \\ = 2 |5 - 10| - 3 \\ = 2 \times 5 - 3 \\ = 10 - 3 \\= 7[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
The measure of an angle is 2.8.what is the measure of its complementary angle
Answer:
87.2º
Step-by-step explanation:
Complimentary angles total 90º
c + 2.8 = 90
c = 90 - 2.8
c = 87.2º
Answer:
87.2°Step-by-step explanation:
When angles are complementary, it means that they both add up to 90°.
In this case, one of the angles measures 2.8°.
So, to find the other one, we subtract 2.8 from 90.
90 - 2.8 = 87.2
The measure of the complementary angle is 87.2°
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
A horizontal line passing through the point (-15,12)
Answer:
this is your answer........
Use the change of base formula and a calculator to approximate each logarithm. Round to
three decimal places.
log14 (16)
Answer:
[tex]1.051[/tex]
Step-by-step explanation:
The change of base formula is given by [tex]\log_a b=\frac{\log b}{\log a}[/tex]
Substituting given values, we have:
[tex]\log_{14} 16=\frac{\log 16}{\log 14}\approx \boxed{1.051}[/tex]
Which of the following statistics measures the variability of a distribution?
A) Mean
B) Median
C) Mode
D) Range
Answer:
B
Step-by-step explanation:
B is the answer .
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
[tex]{\boxed{\boxed{\tt { D. \ Range}}}} \ [/tex]
Step-by-step explanation:
The mean, median and mode are central tendency measures. Statisticians use range to describe the amount of variability or spread in a set of data.
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
PLZ HELP ME GUYS
Jsjsjsjshs
HELP ASAP PLEASE 3 extra points if you get it right
Answer:
origin
Step-by-step explanation:
because the arrow is pointing at zero so it is the origin
Can someone help me out my grads are bad
Answer:
5/10 + 1/10 = 6/10 or if you simplify it 3/5
Step-by-step explanation:
1/2 = 5/10
1/10 = 1/10
5/10 + 1/10 = 6/10
6/10 = 3/5
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
1/2 + 1/10 = 5/10+ 1/10 = 3/5
Step-by-step explanation:
Find the LCD of 2 and 10 (10)
Add the two together (6/10)
Reduce (3/5)
Have a good day :)
I’m really confused on how to write the range of inequality because it’s been a while. Can someone please help??
Answer:
y ≤ 0
Step-by-step explanation:
The arrow says that the function keep going down
the biggest y is 0
so we can write
y ≤ 0
need help on math please
The length of missing leg is √40 = 6..32
Answer:
This one should match according to the pythagoras theorem
Write an equation for the line that passes through points (2, 0) and (4, 3).
Help fill in the blanks ?
A car wheel has a diameter of 27.1". How far will the car go when the wheels rotate 100 times?
Answer:
135.5"
Step-by-step explanation:
Answer:
8509.4
Step-by-step explanation:
The diameter has already been displayed so what I could simply do is solve the equation simply by using the formula for circumference using diameter (C=3.14 x 27.1) and that will get me 85.094 but thats how far it will get if it rotates 1 times so we must multiply it by 100 and move the decimal point 2 digits to the right and the final answer is 8509.4. 8509.4 (no mathematical unit) is how far the car can go when the wheels have a diameter of 27.1 and rotates 100 times.