Answer:
b = 26.62
Step-by-step explanation:
You are given 2 sides and one angle. So the best option is to use cosine law.
[tex]b^{2} = a^2 + c^2 - (2ac)cos[/tex]θ
[tex]b^{2} = 26^2 + 11^2 - (2*26*11)cos30[/tex]
[tex]b^{2} = 708.77[/tex]
[tex]b = 26.62[/tex]
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.
Answer:
the estimation of the size of the population after 20 hours is 10159
Step-by-step explanation:
The computation of the size of the population after 20, hours is shown below;
= 100 2^(20 by 3)
= 10159.36
If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7
So the estimation of the size of the population after 20 hours is 10159
hence, the same is relevant
Answer:
The answer is "10159"
Step-by-step explanation:
Every 3 hours the population doubles, with an initial population of 100.
[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]
[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]
when t=20
[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]
[tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]
Write the equation of the line in slope-intercept form (y = mx +b): 3y - 12x = 15
Answer:
y = 4x + 5
Step-by-step explanation:
3y - 12x = 15
Add 12x to both sides.
3y = 12x + 15
Divide by 3 to isolate y.
y = 4x + 5
Answer:
ACTUALLY IT'S, y=4x-5
Step-by-step explanation:
12x-3y=15 - Get y alone
-12x =12x
-3y=-12x+15
-3y=-12x+15 - Divide.
__________
-3 -3
y=12/3x-15/3 - Distribute division. Negative over a negative is positive. Positive over a negative is a negative.
y=4x-5 - Reduce fractions.
Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.
Answer:
1.718333
0.114957
12
1 3 5 7
Step-by-step explanation:
Given the following height values :
Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85
1.) Assign all height values to a vector height :
R code:
height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)
2.) To compute the mean and standard deviation of "height"
R code for mean height:
mean(height)
R code for height standard deviation :
sd(height)
3.) The length of "height" ; This gives the number of data values in the vector variable "height"
R_code for length:
length(height)
4.) Number of heights less than 1.65
R_code :
which(height < 1.65)
Gives the index values where height values is less than 1.65
5.) Show if each height is larger than 1.6 and less Than 1.75
R_code :
1.6 < height < 1.75
A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and the remaining 8 students wear blue shirts. Mrs. Kulkarni randomly chooses a student to clean the whiteboard. Determine the probability that Mrs. Kulkarni selects a student wearing a red shirt. Enter your answer in the box.
Answer:
She picked white because the board is white
Answer:
24.24... percent chance
Step-by-step explanation:
Because 6/33 is 24 percent and 6 is the amount of red shirts
Will mark brainliest!!!Using sin in math solve the one circled in green
Answer:
x ≈ 32.3
Step-by-step explanation:
Using the sine ratio in the right triangle
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × sin48° = 24 ( divide both sides by sin48° )
x = [tex]\frac{24}{sin48}[/tex] ≈ 32.3 ( to 1 dec. place )
multiply 8 by g, then divide 7 by the result
Do not simplify any part of the expression. HELP A GIRL OUT PLEASE
Answer:
8*g = 8g
then,
7/8g
please help ILL GIVE BRAINLIEST
Answer:
1 2 and 4th
Step-by-step explanation:
that is it
what is the value of x in √x^3-1
9514 1404 393
Answer:
x ≥ 1
Step-by-step explanation:
The argument of the square root cannot be negative, so the expression is only defined for ...
x³ -1 ≥ 0
x³ ≥ 1 . . . . . add 1
x ≥ ∛1 . . . . cube root
x ≥ 1 . . . . the domain of the expression
_____
As you can see, the graph only exists for x ≥ 1.
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is letter D.
Please help! Offering 60 points to the first correct answer.
The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of Account B?
Month 0; Account A $50; Account B $450
Month 1; Account A $85; Account B $465
Month 2; Account A $120; Account B $480
Answer:
funny
Step-by-step explanation:
Answer: month 7
Step-by-step explanation:
My sis did it
The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6
Answer:
C. 52.4
Step-by-step explanation:
Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer
Answer:
The answer is (-8/5,32) in point form or x=-8/5,y=32
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?
Answer:
0.1416
Step-by-step explanation:
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.
The probability in a random sample of 32 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]
P-value from Z-Table:
P(x<32) =
The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.
The probability in a random sample of 36 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]
P-value from Z-Table:
P(x<36) = 0.0086945
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be
[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1
Answer:
x=3
please mark as brainliest
can anyone help me pls
Answer:
405 calories
Step-by-step explanation:
All we have to do is:
9 × 45
I hope this helps!
1/5,0,-1/5,what two answers comes next?
Graph the following inequality and then select the correct graph below.
x+y<1
Answer:
The inequality x+y<1 should look like the graph attached.
It should be a dashed line, not a solid line.
Answer:
The second one you click to switch it
Step-by-step explanation:
Just did the quiz just going by every question and giving answers
If 2x+y=10 and y=3x find the value of both x and y
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
$30 per pound
$0.14 per pound
$7 per pound
$14 per pound
Answer:
$7 a pound
Step-by-step explanation
$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answer:
a) the required percentage is 32.64%
b) the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Step-by-step explanation:
Given that;
mean μ = 14.7 %
standard deviation σ =33%
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
P( portfolio lose money )
= P( x< 0) P( 0-14.7 / 33 )
P( Z < -0.45 ) = 0.3264 ≈ 32.64%
Therefore, the required percentage is 32.64%
b)
the cutoff for the highest 15% of annual returns with this portfolio will be:
P( X ≥ x) = 15%
1 - P(X ≤ x) = 0.15
P(X ≤ x) = 0.85
P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1
form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2
from the equations;
(x-14.7 / 13 ) = 1.04
33 × 1.04 = x-14.7
34.32 = x-14.7
x = 34.32 + 14.7
x = 49.02%
Therefore, the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
plz help will make brainliest!!!!!
(by the way, if the pic is blurry, the equation you would solve is: 10x = 2x + 60)
Answer:
x = 7.5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 2x from both sides of the equation:
10x (-2x) = 2x (-2x) + 60
10x - 2x = 60
8x = 60
Next, isolate the variable, x. Divide 8 from both sides of the equation:
(8x)/8 = (60)/8
x = 60/8
x = 7.5
x = 7.5 is your answer.
~
Sam and Marsha both solved the prime factorization of the number
120 and the table below shows their results. Who is INCORRECT? *
if you could also help with the question on the bottom please do.
Answer:
Sam is incorrect
Step-by-step explanation:
I am not a dependable source
Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Trina use in one batch of brownies?
Step-by-step explanation:
eggs used : 50-12= 38 eggs
[tex] \frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch[/tex]
Solve using the order of operations.
[tex]5 \div (4 - 3) {3 -}^{2} - 2[/tex]
Answer:
BODMAS (Bracket Of Division Multiplication and Addition)
Step-by-step explanation:
[tex]5÷(4−3)3−2−2[/tex]
[tex]5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3[/tex]
bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question
who ever helps me gets brainliest
Answer:
[tex]\frac{1}{2}[/tex] cups of flour
Step-by-step explanation:
Substitute 1 in for m.
[tex]f=\frac{1}{2}(1)[/tex]
Simplify.
[tex]f=\frac{1}{2}[/tex]
If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?
Explain Please
The song: Drivers License
Songwriter/ singer: Olivia Rodrigo
Answer:
12 hours and 50 minutes
Step-by-step explanation:
You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins
Answer:
7 hours, 40 min
Step-by-step explanation:
4 minutes is 1/15 of an hour
115 x 1/15 = 7 2/3
How many 1/2cups are in 7/8cups
Answer:
Step-by-step explanation:
7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply
7/8 * 2 = 14/8 = 1 3/4 <==
What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5
Answer:
3) 5/2
Step-by-step explanation:
2y = 5x + 4
y = 5/2x + 2
slope = 5/2
(y = mx + b, m being slope, b being y intercept)
which fraction is equivalent to -3/2
3/-2
-(-3/2)
-(3/-2)
-3/-2
Answer:
A
Step-by-step explanation:
are the angles similar justify?