Answer:
16/33
Step-by-step explanation:
The probability that the first ball is red and the second ball is black is:
8/12 × 4/11 = 8/33
The probability that the first ball is black and the second ball is red is:
4/12 × 8/11 = 8/33
So the total probability of drawing one ball of each color is 8/33 + 8/33 = 16/33.
In ΔDEF, the measure of ∠F=90°, DE = 82 feet, and EF = 55 feet. Find the measure of ∠E to the nearest tenth of a degree.
Answer:
< E = 42.1° is the answer
A precalculus course has 32 class meetings that last 1.75 hours each. How many minutes does the course meet in a semester. Express your answer in scientific notation.
Answer:
3.36 * 10³ minutesStep-by-step explanation:
If one pre calculus class lasts 1.75hours
32 class meetings will last 32*1.75 = 56 hours
Hence the number of hours that the precalculus meets in the semester is 56 hours. In order to know the number of minutes the same class meet, we will convert 56 hours to minutes.
Since 1 hour = 60 minutes
56hours = (56*60) minutes
56hours = 3360 minutes
Expressing 3360 in scientific notation means expressing it in exponential form.
3360 = 3.36 * 10³ minutes
Hence the precalculus class meets for 3.36 * 10³ minutes in a semester.
6.2megagrams/hectoliter to kilograms/deciliter
Answer:
6.2 kilograms/ deciliters
Step-by-step explanation:
megagrams to kilograms
1 megagram = 1000 kilograms
hectoliter to deciliter
1 hectoliter = 1000 deciliter
Using conversion factors
6.2megagrams 1000 kilgrams 1 hectoliter
---------------------- * ----------------------- * -------------------------
hectoliter 1 megagram 1000 deciliters
Canceling like terms
6.2 kilograms/ deciliters
Answer:
[tex]\Large \boxed{\mathrm{6.2 \ kilograms/deciliter}}[/tex]
Step-by-step explanation:
1 megagram = 1000 kilograms
6.2 megagrams = x (kilograms)
Cross multiplying.
x = 1000 × 6.2
x = 6200
6.2 megagrams = 6200 kilograms
1 hectoliter = 1000 deciliters
[tex]\displaystyle \sf \frac{6200 \ kilograms}{1 000\ deciliters }[/tex]
[tex]\displaystyle \frac{6200}{1000} =6.2[/tex]
6.2 megagrams/hectoliter = 6.2 kilograms/deciliter
please help me with this asap i’ll mark you as brainliest :)and btw it’s more than one answer
Answer:
1,3,4,6 answer
Step-by-step explanation:
Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations. z = xy, z = 0, y = x, x =1, first octant.
Answer:
1/8
Step-by-step explanation:
Given:
z = xy
z = 0
y = x
x =1
To find:
volume of the solid bounded by the graphs of the equations
Solution:
Compute integral of volume in the first octant:
[tex]Volume = V = \int\limits^1_0\int\limits^x_0 {z} \, dydx[/tex]
[tex]\int\limits^1_0\int\limits^x_0 {z} \, dydx = \int\limits^1_0\int\limits^x_0 {xy} \, dydx[/tex]
[tex]= \int\limits^1_0x\int\limits^x_0 {y} \, dydx[/tex]
= [tex]\int\limits^1_0[/tex] x y²/2 |ˣ₀ dx
= 1/2 [tex]\int\limits^1_0[/tex] x y² |ˣ₀ dx
= 1/2 [tex]\int\limits^1_0[/tex] x (x²-0²) dx
= 1/2 [tex]\int\limits^1_0[/tex] x³dx
= [tex]\frac{1}{2} \frac{x^{3+1} }{3+1}[/tex] |¹₀
= (1/2) (x⁴/4) |¹₀
= 1/8 x⁴ |¹₀
= 1/8 (1⁴ - 0⁴)
= 1/8 (1)
V = 1/8
Based on your knowledge of the hypothetical method, which of the following accurately describe the relationship between evidence and hypotheses?
a. A hypothesis does not direct the search for evidence.
b. A hypothesis can be proven true as long as one of its implications is shown to be true.
c. A hypothesis can be proven false if one of its implications is shown to be false.
d. A hypothesis is derived from the evidence at hand: the evidence produces the hypothesis.
Answer:
d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.
Where can we put parentheses in 4•7+2 to make it equivalent to 36?
Answer:
A
Step-by-step explanation:
The simpler way to calculate this question is just to calculate A and B
A - 4 x (7+2) = 4 x 9 = 36
B - (4 x 7) + 2 = 28 + 2 = 30
A = 36
=> Thus, our answer is A
Hope this helps!
Answer:
A. 4 * (7+2)
Step-by-step explanation:
Let's evaluate choice A and B. Solve each expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
The option that equals 36 will be the correct choice.
A.
4 * (7+2)
Solve the parentheses first. Add 7 and 2.
4 * (9)
Multiply 4 and 9.
36
B.
(4*7)+2
Solve the parentheses first. Multiply 4 and 7.
(28)+2
Add 28 and 2.
30
When evaluated, choice A equals 36. Therefore, A is correct. When the parentheses are arranged like so: 4 * (7+2) it will be equivalent to 36.
Let a and b 2 positive real number such that a
Answer:
Proved
Step-by-step explanation:
Given
Integers: a and b
Where [tex]a < b[/tex]
Required
Show that [tex]a^n < b^n[/tex]
We start by writing out the given expression
[tex]a < b[/tex]
Then, take nth root of both sides
[tex]a^n < b^n[/tex]
For instance:
Let a = 2, b = 2 and n = 4
First
Since [tex]2 < 3[/tex]
Then
[tex]2^4 < 3^4[/tex]
[tex]16 < 81[/tex]
Proved
This is so for all positive values of a,b and n where a < b
2-7, please help BRAINLEST
Answer:
n=11 is the answer.
Step-by-step explanation:
19+n=30
In order to find the value of n subtracting 19 on both sides
19-19+n=30-19
n=11 is your answer
Hope it will help you :)
Help me please thank y’all
Answer:
30°
Step-by-step explanation:
60+60+2x=180
120+2x=180
2x=180-120
2x=60
x=30°
can earn 5 coins
Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn
$500 per week to support his family. If he knows he will only be able to work 50 hours per week,
what is the minimum amount of dollars per hour will he need to charge his customers?
Answer:Ten dollars per hour
Step-by-step explanation:
50 hour =500 dollars
1 hour = ?
Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.
?=(1 hour×500 dollars)/50 hour
?= 500 dollars/50
?=10 dollars per hour
a tree that is 4 feet tall casts a shadow that is 9 feet long find the length of a shadow that is 48 ft tree cast
Answer:
108 ft long
Step-by-step explanation:
they both form similar triangles like shape
therefore
[tex] \frac{4}{9} = \frac{48}{x} [/tex]
[tex]x = \frac{9(48)}{4} [/tex]
[tex]x = 108[/tex]
What are 2 Equivalent ratios for 3 and 8
Answer:
3 to 8 = 6 to 16 = 30 to 80
Step-by-step explanation:
Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.
3 to 8
Multiply both 3 and 8 by 2:
6 to 16
Multiply both 3 and 8 by 10:
30 to 80
3 to 8 = 6 to 16 = 30 to 80
Somebody please help me
Answer:
find the area of two triangles and subtract them.
Triangle 1 = 1/2 x 20 x 20 = 200
Triangle 2 = 1/2 x 15 x 10 = 75
Area of shaded region: 200 - 75 = 125
The answer is F. 125
People were standing on a football field a mile and a half long. It was 12 feet deep in both sides. Estimate the size of the crowd
Answer:
The crowd would cover an area of 100000 square feet of the field.
Step-by-step explanation:
The length of the football field = 1[tex]\frac{1}{2}[/tex] miles
1 mile = 5280 feet
So that, 1[tex]\frac{1}{2}[/tex] miles = 7920 feet
Given that the field was 12 feet deep on both sides implies that the width = 24 feet.
To estimate the size of the crowd,
length of field = 5000 feet
width = 20
Area of the field covered by the crowd = length × width
= 5000 × 20
= 100000
The crowd would cover an area of 100000 square feet.
Which are characteristics of table salt (NaCl)?
is insoluble in water
is held together by hydrogen bonds
is often supplemented with iodine
is held together by ionic bonds
is a compound
Answer:
The correct option (c) "is held together by ionic bonds".
Step-by-step explanation:
Table salt is NaCl. It is a combination of Sodium and Chlorine.
There is 1 valance electron in sodium. Its electronic configuration is 2,8,1
The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.
Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.
As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.
Find the equation of the line in slope intercept form that has a slope of -2 and passes through the point (6,3). Demonstrate that your answer is correct (y=-2x+15)
Answer:
y=-2x+15
Step-by-step explanation:
First, write out the equation in slope-intercept form, with what you already have:
[tex]y=-2x+b[/tex]
Let "b" represent the y-intercept.
To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":
[tex]3=-2(6)+b\\3=-12+b\\3+12=-12+12+b\\15=b[/tex]
Therefore, your y-intercept is 15.
That means your equation is slope-intercept form is y=-2x+15.
g European roulette. The game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money. (a) Suppose you play roulette and bet $3 on a single round. What is the expected value and standard deviation of your total winnings
Answer:
The expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.
Step-by-step explanation:
We are given that the game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green.
Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money.
Let the probability of the ball landing on red slot = [tex]\frac{18}{37}[/tex]
The probability of the ball landing on black slot = [tex]\frac{18}{37}[/tex]
The probability of the ball landing on green slot = [tex]\frac{1}{37}[/tex]
Now, it is stated that Gambler can place bets only on the red or black slot, so;
The probability of winning the bet will be = [tex]\frac{18}{37}[/tex]
and the probability of losing the bet will be = [tex]\frac{18}{37}+\frac{1}{37}[/tex]
= [tex]\frac{19}{37}[/tex]
If the gambler wins he gets $3 and if he loses he will get -$3.
So, the expected value of gambler's total winnings is given by;
E(X) = [tex]\sum X \times P(X)[/tex]
= [tex]\$3 \times \frac{18}{37} + (-\$3 \times \frac{19}{37})[/tex]
= [tex]\$3 \times (-\frac{1}{37})[/tex] = -$0.081
Now, the standard deviation of gambler's total winnings is given by;
S.D.(X) = [tex]\sqrt{(\sum X^{2} \times P(X))-(\sum X \times P(X))^{2} }[/tex]
So, [tex]E(X^{2})=\sum X^{2} \times P(X)[/tex]
= [tex]\$3^{2} \times \frac{18}{37} + (-\$3^{2} \times \frac{19}{37})[/tex]
= [tex]\$9 \times (\frac{18}{37}+\frac{19}{37})[/tex] = $9
Now, S.D.(X) = [tex]\sqrt{\$9-(-\$0.081)^{2} }[/tex]
= [tex]\sqrt{8.993}[/tex] = $2.99 ≈ $3
Hence, the expected value and standard deviation of your total winnings are -$0.081 and $3 respectively.
Okay, last question! thank you for helping btw! B is the midpoint of AC if AB =3x-2 and BC= 6x-5 Find AC.
Answer:
9x-7
Step-by-step explanation:
AB =3x-2
BC= 6x-5
AC=AB+AC
AC=(3X-2)+(6X-5)
AC=3X-2+6X-5
AC=3X+6X-2-5
AC=9X-7
In 2009, the world population was 6.8 billion. The exponential growth rate was 1.13% per year. So the following could be used as a model for the growth of the world's population: P=6.8e ,where P is world population in billions, t represents the number of years past 2009. (2009 would be represented by t = 0.)
a. Estimate the population of the world in 2018 using this model.
b. Using the internet, find an approximation for the world population in 2018. What is the difference between the estimate from the internet and the answer in part (a)?
c. Using algebraic methods and the model given, estimate the year when the world population will be 9 billion.
Answer: 9 million
Step-by-step explanation:
The population of the world in 2018 using this model is 7.5 billion.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.
Given that, P= 6.8 billion and rate of growth =1.13%.
Now, 6.8(1+1.13/100)ⁿ
= 6.8(1+0.0113)ⁿ
= 6.8(1.0113)ⁿ
a. The population of the world in 2018 using this model.
So, time period is n=9
Now, 6.8(1.0113)⁹
= 7.5 billion
b. World population is 2018 was 7.6 billion
The difference between the estimate from the internet and the answer in part (a) is 7.6-7.5
= 0.1 billion
c. Estimate the year when the world population will be 9 billion
9=6.8(1.0113)ⁿ
(1.0113)ⁿ=1.32
n=24.7 years
Therefore, the population of the world in 2018 using this model is 7.5 billion.
To learn more about the population increase and decrease visit:
https://brainly.com/question/27779235.
#SPJ5
What is the order greatest to least, a b or c?
Draw and label. Two points, J and K.
Answer:
see attached
Step-by-step explanation:
It usually works to follow instructions. Here are your two points.
can someone help pls
Answer:
-8
Step-by-step explanation:
slope is change in y divided by change in x
slope = (12-36)/(11-8)
slope = -24/3
slope = -8
The water inside a right cylinder tank is 6 inches above the bottom part of the tank of radius 1 feet and length 2 feet. Find the volume of the water.
Answer:
864π in³Step-by-step explanation:
Volume of the water is equivalent to the volume of a cylinder = πr²h where;
r is the radius of the cylindrical tank
h is the height of the water
Given parameters
radius of the cylindrical tank r = 1feet = 12 inches
height of the water inside the tank = 6inches
Volume of the water = πr²h
Volume of the water = π(12)²*6
Volume of the water = π*144*6
Volume of the water = 864π in³
Hence the volume of the water is 864π in³
Answer:
[tex]\huge \boxed{\mathrm{2714.34 \ in^3 }}[/tex]
Step-by-step explanation:
The volume formula for a right cylinder is given as :
[tex]V=\pi r^2 h[/tex]
[tex]V \Rightarrow \sf volume[/tex]
[tex]h \Rightarrow \sf height[/tex]
[tex]r \Rightarrow \sf radius[/tex]
The radius 1 feet ⇒ 12 inches
The height of the water in the cylinder is 6 inches
[tex]V=\pi (12)^2 (6)[/tex]
[tex]V= 2714.336053...[/tex]
The volume of the water is 2714.34 cubic inches.
XY=4x, YZ=x, and XY=25
x=
YZ=
Answer:
both answer is 31°
Hope it is helpful for you
Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Complete Question
It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Answer:
At both [tex]\alpha = 0.05[/tex] and [tex]\alpha = 0.01[/tex] the conclusion is that the thread has become inferior
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 9.72 \ oz[/tex]
The standard deviation is [tex]\sigma = 1.40\ oz[/tex]
The sample size is n = 36
The sample mean is [tex]\= x = 8.93 \ oz[/tex]
The null hypothesis is [tex]H_o : \mu = 9.72 \ oz[/tex]
The alternative hypothesis is [tex]H_a : \mu < 9.72 \ oz[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }[/tex]
=> [tex]t = -3.33[/tex]
So
The p-value obtained from the z- table is
[tex]p-value = P( Z < -3.39) = 0.00034946[/tex]
So at [tex]\alpha = 0.0 5[/tex]
[tex]p-value < \alpha[/tex]
So we reject the null hypothesis,hence we conclude that the thread has become inferior
So at [tex]\alpha = 0.0 1[/tex]
[tex]p-value < \alpha[/tex]
So we reject the null hypothesis,hence we conclude that the thread has become inferior
Solve for X
X/5 = 15
Answer:
75
Step-by-step explanation:
X/5=15
X=15*5
X=75
Ans.75
Find the general solution of the differential equation. (Use C for the constant of integration.) dy dx = 36 − 12x2 x3 − 9x + 3
Answer:
[tex]y = -4ln(x^3 - 9x + 3) + C\\[/tex]
Step-by-step explanation:
Given the differential equation [tex]\frac{dy}{dx} = \frac{36-12x^2}{x^3-9x+3}\\ \\[/tex], we will use the variable separable method to solve the differential equation as shown;
[tex]\frac{dy}{dx} = \frac{36-12x^2}{x^3-9x+3}\\ \\dy = \frac{36-12x^2}{x^3-9x+3}dx\\ \\\\\\integrate \ both \ sides\\\\\int\limits dy = \int\limits\frac{36-12x^2}{x^3-9x+3}dx\\ \\\\using\ substitution\ method \ to \ solve \ RHS\\\\\int\limits\frac{36-12x^2}{x^3-9x+3}dx\\\\let \ u = x^3-9x+3; du/dx = 3x^2-9\\\\dx = du/3x^2-9\\\\\int\limits\frac{36-12x^2}{x^3-9x+3}dx\\\\ = \int\limits\frac{36-12x^2}{u}*\frac{du}{3x^2-9} \\\\= \int\limits\frac{12(3-x^2)}{u}*\frac{du}{3(x^2-3)}\\\\[/tex]
[tex]= \int\limits\frac{-12(x^2-3)}{u}*\frac{du}{3(x^2-3)}\\\\= -4\int\limits \frac{du}{u}\\ = -4lnu + C\\= -4ln(x^3 - 9x + 3)[/tex]
The differential solution becomes:
[tex]y = -4ln(x^3 - 9x + 3)[/tex][tex]+C[/tex]
Jerry used to have $438.00 in the bank but after a year the amount increased to $534.36. This was an increase of _____%.
Answer:
This was an increase of 22%
Step-by-step explanation:
Given:
Initial/Old amount = $438.00
New amount = $534.36
The percentage increase = [tex] \frac{new amount - old amount}{old amount}*100 [/tex]
% increase = [tex] \frac{534.36 - 438.00}{438.00}*100 [/tex]
[tex] = \frac{96.36}{438.00}*100 = \frac{96.36*100}{438.00} [/tex]
[tex] = \frac{9636}{438.00} = 22 [/tex]
This was an increase of 22%.
Two sides of a triangle have the same length. The third side measures m less than twice the common length. The perimeter of the triangle is m. What are the lengths of the three sides?
Answer:
The length of the first side of a triangle = 6 m
The length of the second side of a triangle = 6 m
The length of the third side of a triangle = 9 m
Step-by-step explanation:
The complete question is: Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m. What are the lengths of the three sides?
We are given that two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 21 m.
Let the common length of the two sides of a triangle be 'x m'.
So, the length of the first side of a triangle = x m
the length of the second side of a triangle = x m
the length of the third side of a triangle = (2x - 3) m
As we know that the perimeter of a triangle is given by;
The Perimeter of a triangle = Sum of all sides of a triangle
21 m = x + x + (2x - 3)
21 m = 2x + 2x - 3
21 m = 4x - 3
4x = 21 + 3
4x = 24 m
x = [tex]\frac{24}{4}[/tex] = 6 m
Hence, the length of the first side of a triangle = x = 6 m
the length of the second side of a triangle = x = 6 m
the length of the third side of a triangle = (2x - 3) = 12 - 3 = 9 m