Answers
Related Questions
Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately Normally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron. What position, in microns, are 20% of binding sites greater than
Answers
Answer:
2.74 microns
Step-by-step explanation:
According to the given situation, the calculation of position, in microns, is shown below:-
Here we will use the standard normal table,
P(Z > z) = 20%
1 - P(Z < z) = 0.2
P(Z < z) = 1 - 0.2
P(Z < 0.84) = 0.8
after solving the above equation we will get
z = 0.84
Now we will use the z-score formula,
[tex]x = z \times \sigma + \mu[/tex]
[tex]x = 0.84 \times 0.35 + 2.45[/tex]
x = 0.294 + 2.45
= 2.744 microns
or
= 2.74 microns
simplify the expression. -2 3/5 - (-1 2/5) - 4/5 = ?
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Write an expression for “the quotient of y and 8”.
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Answer:
[tex]\huge\boxed{\frac{y}{8} }[/tex]
Step-by-step explanation:
Quotient means to divide. So, the expression will be like:
=> [tex]\frac{y}{8}[/tex]
What is the answer to a3•a5
Answers
Answer:
a^8
Step-by-step explanation:
[tex]a^3 \cdot a^5\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\a^3a^5=a^{3+5}\\\\=a^8[/tex]
a3 * a5 =
a * 3 * a * 5 =
a² * 15 =
15a²
What is the value of 2 over 5×5ovet4÷2over3
Answers
Answer:
3/4
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its reciprocal.
[tex]\dfrac{2}{5}\times\dfrac{5}{4}\div\dfrac{2}{3}=\dfrac{2}{5}\times\dfrac{5}{4}\times\dfrac{3}{2}\\\\=\dfrac{(2)(5)(3)}{(2)(5)(4)}=\boxed{\dfrac{3}{4}}[/tex]
Help me please thank you
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The smaller numbers are a bit blurry, but I'm assuming angle 1 is the top-most angle and angle 4 is the corresponding angle to angle 1.
If so, then
angle 1 = angle 4
3x-160 = x+20
3x-x = 20+160
2x = 180
x = 180/2
x = 90 is the answer
2. A local minimum of a function is its
options:
A) smallest value of the function over its entire domain.
B) smallest value for a given interval.
C) largest value for a given interval.
D) largest value of the function over its entire domain.
Answers
B. Smallest value for a given interval.
Hope this helps.
Answer:
B) smallest value for a given interval.
Step-by-step explanation:
What is the slope of y=−4? If the slope is undefined, enter ∅ as your answer.
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Answer:
Step-by-step explanation:
xxxx.com
Use Theorem to find ℒ{f(t)}.
f(t) = (et − e−t)2
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Answer:
[tex]\frac{3s^2-4}{s(s^2-4)}[/tex]
Step-by-step explanation:
Here, the question is to find the Laplace transformation of [tex]f(t)[/tex]
where, [tex]f(t)=(e^t-e^{-t})^2[/tex]
We know that for [tex]t>0[/tex], [tex]\mathcal{L}\{f(t)\} =\int_0^{\infty} e^{-st}f(t)dt[/tex]
[tex]\mathcal{L}\{e^{at}\}=\int_0^{\infty} e^{-st}e^{at}dt[/tex]
[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\int_0^{\infty} e^{(a-s)t}dt[/tex]
[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\left[\frac { e^{(a-s)}}{a-s}\right]_0^{\infty}[/tex]
[tex]\Rightarrow \mathcal{L}\{e^{at}\}=\frac { 1}{s-a}\cdots(i)[/tex]
Here, we have [tex]f(t)=(e^t-e^{-t})^2[/tex]
[tex]\Rightarrow f(t)=(e^t)^2+(e^{-t})^2-2(e^t)(e^{-t})[/tex]
[tex]\Rightarrow f(t)=e^{2t}+e^{-2t}-2e^{0t}[/tex]
So, the laplace transformation of [tex]f(t)[/tex] is
[tex]\mathcal{L}\{f(t)\}=\mathcal{L}\{e^{2t}+e^{-2t}-2e^{0t}\}[/tex]
[tex]\Rightarrow \mathcal{L}\{f(t)\}=\mathcal{L}\{e^{2t}\}+\mathcal{L}\{e^{-2t}\}+\mathcal{L}\{e^{0}\}[/tex]
Now, using equation[tex](i)[/tex]
[tex]\mathcal{L}\{f(t)\}=\frac{1}{s-2}+\frac{1}{s-(-2)}+\frac{1}{s-0}[/tex]
[tex]\Rightarrow \mathcal{L}\{f(t)\}=\frac{1}{s-2}+\frac{1}{s+2}+\frac{1}{s}[/tex]
[tex]\Rightarrow \mathcal{L}\{f(t)\}=\frac{3s^2-4}{s(s^2-4)}[/tex]
Hence, the Lapelace transformation of [tex]f(t)=(e^t-e^{-t})^2[/tex] is
[tex]\frac{3s^2-4}{s(s^2-4)}[/tex].
What are the like terms in the expression 8 + x squared minus 4 x cubed + 5 x + 2 x squared?
Answers
Answer:
See below.
Step-by-step explanation:
So we have the expression:
[tex]8+x^2-4x^3+5x+2x^2[/tex]
Like terms are terms in which the variables and the exponents they are in are exactly the same.
In the above expression, the only like terms are x² and 2x². Thus, we can add them:
[tex](x^2+2x^2)+8-4x^3+5x\\=3x^2+8-4x^3+5x[/tex]
Answer:
[tex]\huge\boxed{x^2 \ and \ 2x^2}[/tex]
Step-by-step explanation:
Given Expression is:
[tex]8 + x^2 -4x^3+5x+2x^2[/tex]
"Like terms" are terms whose variables and their exponents are the same.
So, In the given expression, the like terms are:
=> [tex]x^2 \ and \ 2x^2[/tex]
After a filling meal, Ms. Ironperson and Mr. Thoro went their separate directions. Ms. Ironperson lives due east from the Shawarma Mediterranean Grill and Mr. Thoro lives due south. Both leave at the same time; Ms. Ironperson traveling at 50 mph and Mr. Thoro at 60 mph. If Ms. Ironperson travels at rate of 50t and Mr. Thoro travels at a rate of 60t, what is the correct equation to find how long it will take them to be 400 miles apart?
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Options :
A) 50t + 60t =4002
B) (50t)2+(60t)2 = 4002
C) 50t + 60t = 400
C) 50t2 + 60t2 = 4002
Answer:
400^2 = (50*t)^2 + (60*t)^2
Step-by-step explanation:
Given the following :
Ms. Ironperson:
moves due east
Speed = 50 mph
Rate of travel = 50t
Let time taken = t ; hence Distance covered with respect to time = ( 50 * t) = 50t
Mr. Thoro
moves due South
Speed = 60 mph
Rate of travel = 60t
Let time taken = t ; hence Distance covered with respect to time = ( 60 * t) = 50t
They are moving at right angle from each other, thus, we can apply Pythagoras rule ;
The displacement between them will be = 400 miles which is the hypotenus
From Pythagoras :
Hypotenus^2 = opposite^2 + Adjacent^2
Displacement = distance 1 + distance 2
400^2 = (50*t)^2 + (60*t)^2
Study the graph again. If the company produces twenty bats, what is the maximum number of balls it can produce?
Answers
Answer:B:(5)
Step-by-step explanation:
I just did the test
The maximum number of balls company can produce will be 5.
What is Mathematical equation ?
By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign.
In other words the equation represents the graph between x and y that is for each value of x there exist one value of y here, for x = 20 baseball bats , y=5 baseball will be produce which can be seen from the given graph by drawing parallel line from the intersection point of x=20 and line AC.
Therefore, y = 5 number of baseball will be produced.
check and know more about equation of line here :
https://brainly.com/question/21511618
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What is the absolute value of -4
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Answer:
4
Step-by-step explanation:
Easiest way to remember absolute value is the number always comes out positive.
l-4l=4
Answer:
the answer is 4
Step-by-step explanation:
the absolute value means it doesn't consists of any sign (neither positive nor negative)
ANSWER FOR 10 POINTS!!!!!!!!!!!!!!
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Ashanti and Maria went to the store to buy snacks for their back-to-school party. They bought bags of chips, pretzels, and nachos. They bought three times as many bags of pretzels as bags of chips, and two fewer bags of nachos than bags of pretzels. If x represents the number of bags of chips they bought, express, in terms of x, how many bags of snacks they bought in all.
(Theres two more problems in a picture, you don’t have to answer all three tho but if you do it i will love you forever :( )
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Answer:
Hey there!
For the first one:
Chips: x
Pretzels: 3x
Nachos: 3x-2
Total snacks: x+3x+3x-2=7x-2
For the second one:
In the equation, 150+5d, 150 represents the starting amount of money, in this case, 150 dollars. 5d means that for every day, five dollars get put into his account.
For the third one:
In this equation, 1.50 represents to initial fee, and 2.25m represents the cost per mile. Dividing by 2 gives us what each person in the cab pays.
Let me know if this helps :)
9^2-(1+3•5^2)
Help needed
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5
EXPLANATION
PEMDAS
Was it evaluated correctly?
Explain your reasoning
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As you wake up to get your day started, you decide to make muffins for breakfast. The recipe you are using makes 2 dozen muffins and calls for 3 cups of flour and 1 cup of sugar. You decide to only make 18 muffins. How many cups of flour and sugar will you need for your recipe?
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Answer:
1/4 cup of flour and 1/8 cup of sugar. (i am estimating)
Step-by-step explanation:
Question 3: A small window in a barn is shaped like a parallelogram. The height of the window is half the length of the base of the window. The base of the window is 12 in. The length of the other side of the window is 10 in. What is the area of the window? A) 22 B) 60 C) 72 D) 120
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Answer:
The answer is B (60)
Step-by-step explanation:
The formula for area is L x W, since they claim the base is 12in and even state teh length is 10in all that is needed is to multiply 12 x 10 to get 120. The area of the window is 120 inches. and half of 120 is 60 Area articulates the space occupied by a flat shape or the surface of an object. The answer is B
The area of the window will be 60 square inches. Then the correct option is B.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
A small window in a barn is shaped like a parallelogram. The height of the window is half the length of the base of the window.
The formula for area is L x W, since they claim the base is 12in and even state the length is 10 in all that is needed is to multiply 12 x 10 to get 120.
The area of the window is 120 inches and half of 120 is 60 Area articulates the space occupied by a flat shape or the surface of an object.
The area of the window will be 60 square inches. Then the correct option is B.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
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Solve for q 10/9=3/q q=
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Answer:
q = 27/10
Step-by-step explanation:
10/9 = 3/q
To find q, we must seperate it from the other numbers,
First we divide both sides by 3,
(10/9)/3 = (3/q)/3
10/27 = 1/q
Now we find the reciprocal of both sides to get the answer,
27/10 = q
q = 27/10
You are offered an investment that pays simple interest and will earn $200 interest on a $2000 investment over 5 years. What interest rate is the investment paying? A) 1.5% B) 2% C) 2.5% D) 3%
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Answer:
B) 2%
Step-by-step explanation:
The simple interest formula is ...
I = Prt
Interest I is earned on principal P when it is invested at rate r for t years.
Filling in the given values, we can solve for r:
200 = 2000r(5)
200/10000 = r = 2/100 = 2%
The interest rate is 2%.
HELP !! a sandwich shop purchases a used pizza oven for $875. after 5 years, the oven will have to be discarded and replaced. write a linear equation giving the value V of the equipment during the 5 years it will be in use.
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==================================================
Explanation:
I'll use y in place of V for now. Also, I'll use x in place of t.
x = number of years
y = value of the oven
Initially, the oven's value is $875, so x = 0 and y = 875 pair up together. The point (0,875) is on the line.
The point (5, 0) is also on the line to indicate that x = 5 years later is when the value of the oven is y = 0 dollars.
We need to find the equation of the line through (0,875) and (5,0)
First we'll need the slope
m = (y2-y1)/(x2-x1)
m = (0-875)/(5-0)
m = -175
The negative slope means the oven is losing 175 dollars in value each year.
The y intercept is b = 875 as this is the initial value of the oven
Put together, y = mx+b turns into y = -175x+875
If we plugged x = 0 into this equation, we'd get y = 875
Similarly, plugging x = 5 into y = -175x+875 leads to y = 0. This helps check we have the right equation
Lastly, replace x with t and replace y with V to end up with V = -175t + 875 which is our final answer.
Please! Help! BRAINLEST!!!
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Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: [tex]v = 8[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]12 = 12+ \frac{v-8}{2}[/tex]
Multiply both sides of the equation by 2 to get:
[tex]24 = 24 + v - 8[/tex]
Subtract 8 from 24 to get 16.
[tex]24 = 16 + v[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]16 + v = 24[/tex]
Subtract 16 from both sides.
[tex]v = 24 - 16[/tex]
Subtract 16 from 24 to get, you guessed it, 8!Which expression is the exponential form of
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Answer:
[tex](7x)^{\frac{3}{2} }[/tex]
how to find amount of ammonia gas in mole if the question gives
- ammonia gas is kept in a 10.0-L tank at 1 atm and 25°C
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Answer:
0.409 mol
Step-by-step explanation:
Use ideal gas law:
PV = nRT
where P is absolute pressure,
V is volume,
n is number of moles,
R is universal gas constant,
and T is absolute temperature.
PV = nRT
(1 atm) (10.0 L) = n (0.0821 L·atm/mol/K) (25 + 273) K
n = 0.409 mol
Evaluate the expression |3x – 1| for x = -2.
A. -7
B. 7
C. 5
D. -5
Answers
Answer:
B. 7
Step-by-step explanation:
|3x – 1| =
= |3(-2) - 1|
= |-6 - 1|
= |-7|
= 7
Answer: B. 7
PLEASE HELP *13 POINTS*! A) -4 B) -0.25 C) 4 D) 0.25
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Answer: Choice C) 4
=========================================
Work Shown:
Set the denominator equal to zero and solve for x
4x-16 = 0
4x-16+16 = 0+16 ... add 16 to both sides
4x = 16
4x/4 = 16/4 ... divide both sides by 4
x = 4
--------
If x = 4, then the denominator is 0
4x-16 = 4(4)-16 = 16-16 = 0
So this x value is what we exclude from the domain to avoid a division by zero error.
What would the scatter plot show for data that produce a Pearson correlation of r = +0.88?
a. Points clustered close to a line that slopes up to the right
b. Points clustered close to a line that slopes down to the right
c. Points widely scattered around a line that slopes up to the right
d. Points widely scattered around a line that slopes down to the right
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Answer:
The correct option is (a).
Step-by-step explanation:
The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
In this case, it is provided that the Pearson correlation coefficient is, r = +0.88.
A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.
The scatter plot for correlation coefficient between +0.70 to +1.00 shows:
A straight and upward moving trend of the pointA straight line can be formed using these points that slopes up to the rightPoints clustered close to this line that slopes up to the rightThus, the correct option is (a).
5/3 ÷ 6/1= Please help me this sum.
Answers
Answer: [tex]5/18[/tex]
Do Keep Change Flip (KCF)
Keep: [tex]5/3[/tex]
Change: ÷ into ×
Flip: [tex]6/1[/tex] into [tex]1/6[/tex]
Multiply
[tex]5/3*1/6=5/18[/tex]
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Hi my lil bunny!
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[tex]\boxed{\frac{5}{3} \div \frac{6}{1} = \frac{5}{18}}\\[/tex]
[tex]\frac{5}{3} \div \frac{6}{1} =[/tex]
Apply the fraction rule : [tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} . \frac{c}{d}[/tex]
[tex]= \frac{5}{3} . \frac{1}{6}[/tex]
Multiply the fractions : [tex]\frac{a}{b} . \frac{c}{d} = \frac{a . c}{b . d}[/tex]
[tex]= \frac{5 . 1}{3 . 6}[/tex] ( This " . " means times ! )
Multiply the numbers : [tex]5 . 1 = 5[/tex]
[tex]= \frac{5}{3 . 6}[/tex]
Multiply the numbers : [tex]3 . 6 = 18[/tex]
[tex]= \frac{5}{18}[/tex]
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Have a great day/night!
❀*May*❀
When determining how well an observed set of frequencies fits an expected set of frequencies, what is the test statistic
Answers
Answer: [tex]\chi^2[/tex] test statistic.
Step-by-step explanation:
The chi-square ([tex]\chi^2[/tex] ) test is a non-parametric statistical test(also known as Goodness of fit test) which is used to determine if a distribution of observed frequencies differs from the expected frequencies.
Chi-square statistic uses either nominal (categorical) or ordinal level data.
Hence, When determining how well an observed set of frequencies fits an expected set of frequencies, the test statistic is [tex]\chi^2[/tex] test statistic.