The probability that a gorilla will live longer than 26 years is between 15.8 and 24.2 years.
What is probability?Likelihood is the part of science concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a recommendation is valid.
P (A) is the probability of an event “A”
n (A) is the number of favorable outcomes
n (S) is the total number of events in the sample space
The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates conviction. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.
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Find an equation of the tangent line to the curve at the given point. y = ex cos(x) , (0, 1)
The equation of the tangent line to the curve at the given point is given by: y = x + 1.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
Given:
Equation of line: y = [tex]e^{x}[/tex] cos(x)Given point = (0,1)To find: Equation of a tangent line through the given point.
Finding:
y = [tex]e^{x}[/tex] cos(x)
By product rule of differentiation, y' = [tex]e^{x} sin(x) +e^{x} cos(x)[/tex]
For x = 0, y' (0) = 1 (0) + 1( 1) = 1 = slope of the line
Now, we know: equation of a line is given by:
[tex](y-y_0)=m(x-x_0)[/tex]
For [tex]x_0 = 0 And y_0 = 1[/tex], The equation of the tangent line will be:
=> y - 1 = 1 (x - 0)
=> y - 1 = x
=> y = x + 1
Hence, The equation of the tangent line to the curve at the given point is given by: y = x + 1.
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what is 20 divided by 5 times 20 plus 10
Answer:
Step-by-step explanation:
20 divided by 5x20+10=90
Answer:
90
Step-by-step explanation:
this is easiest if you know your order of operations PEMDAS so there are no parenthesis or exponents so next is multiplication and division. so 20/5= 4 then 4*20 is 80 and 80+10=90.
here's an easy way to remember PEMDAS
Please Excuse My Dear Aunt Sally
What is the absolute value of Point B labelled on the number line?
A number line with point A at coordinate negative 2.2, point B at coordinate negative 1.6, and point C at coordinate 1.2.
Drag and drop the answer into the box to match the correct statement.
Answer:
1.6
Step-by-step explanation:
| -1.6 | = 1.6
five times square of a number is equal to 45
Answer:
x can be -3, or +3
Step-by-step explanation:
The equation would be
5[tex]x^{2}[/tex] = 45
Divide both sides by 5
[tex]x^{2}[/tex] = 9
Take the square root of both sides
x = ± 3
Can someone help me with this problem? Thank you!
Answer:
122 degrees
Step-by-step explanation:
43 + 15 = 58 - 180 = 122
HELP ASAP!! I DONT GET IT
Answer:
16
Step-by-step explanation:
Given that the total number of seats in an auditorium is modeled by the following equation:where x represents the number of rows of seats.We are to find the number of rows are there in the auditorium with a total of 416 seats.So, we are to find the value of x if f(x) = 416.
Since the number of rows cannot be negative, so the required number of rows in the auditorium is 16.Thus, the number f rows is 16.
solve the equation x/3-6=5
Answer: x= 33
Step-by-step explanation: hope this helps!!!
two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.
The expression that gives the distance, d, between the ships after t hours is d = 25t
Calculating DistanceFrom the question, we are to write an expression that gives the distance, d, between the ships after t hours
First, we will determine the distance the ships have traveled after t hours
Using the formula,
Distance = Speed × Time
Thus,
The first ship would have traveled
20 × t miles
= 20t miles
The second ship would have traveled
15 × t miles
= 15t miles
Using the Pythagorean theorem,
The distance, d, between the ships after t hours is
d² = (20t)² + (15t)²
d² = 400t² + 225t²
d² = 625t²
d = √(625t²)
d = 25t miles
Hence, the expression that gives the distance, d, between the ships after t hours is d = 25t
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Is 0. 19
a rational or irrational? Explain
Answer:
It's rational, because it can be converted into a reasonable fraction.
➯ Hope this helps!
what is the perimeter of a triangle with the points (-9,4) (7,4) and (7, -8)
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{(~~ 7- (-9)~~)^2 + (~~ 4- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 16)^2 + ( 0)^2}\implies \boxed{AB=16} \\\\\\ B(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{7}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{(~~ 7- 7~~)^2 + (~~ -8- 4~~)^2}[/tex]
[tex]~\hfill BC=\sqrt{( 0)^2 + ( -12)^2}\implies \boxed{BC=12} \\\\\\ C(\stackrel{x_1}{7}~,~\stackrel{y_1}{-8})\qquad A(\stackrel{x_2}{-9}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -9- 7~~)^2 + (~~ 4- (-8)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -16)^2 + (12)^2}\implies CA=\sqrt{400}\implies \boxed{CA=20} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{16~~ + ~~12~~ + ~~20\implies \text{\LARGE 48}}[/tex]
Round 829.9 to the nearest whole number
Answer:
The nearest whole number is 830.
We have a three digit - 829.9.
We have to convert it into nearest whole number.
Step-by-step explanation:
I need help with this math question. The question and answers are in the picture.
Answer: f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option
Step-by-step explanation:
Both are quadratic equations: -x^2 or x^2
Blue graph: x^2 since it's facing up
f(x)=(x-b)^2
Vertex: When x=-1, y=0 ==> 0=(-1+b)^2
0=-1+b
b=1
f(x)=(x+1)^2
f(x)=(x+1)(x+1)
f(x)=x^2+x+x+1
f(x)=x^2+2x+1
Red graph: -x^2 since it's facing down
g(x)=-x^2+b
Vertex: When x=0, y=1 ==> 1=(0)^2+b
1=0+b
b=1
g(x)=-x^2+1
f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of -48.39°C and a
boiling point of 313.31°C. What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state? (Hint: C=5/9(F-32)) Express the range
as an inequality
Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid state?
(Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression Round to three decimal places as needed)
[tex]Answer:\ -55.102^0F\leq t^0\leq 595.958^0F[/tex]
Step-by-step explanation:
[tex]\displaystyle\\C^0=\frac{5}{9} (F^0-32^0)\\[/tex]
Let's multiply both parts of the equation by 9/5:
[tex]\displaystyle\\\frac{9}{5} C^0=F^0-32^0\\\\\frac{9}{5} C^0+32^0=F^0-32^0+32^0\\\\\frac{9}{5} C^0+32^0=F^0\\\\Thus,\\\\F^0=1.8C^0+32^0[/tex]
[tex]t=-48.39^0C\\Hence,\\t^0(F)=1.8(-48.39^0)+32^0\\t^0(F)=-87.102^0+32^0\\t^0(F)=-55.102^0[/tex]
[tex]t=313,31^0C\\Hence,\\t^0(F)=1.8(313,31^0)+32^0\\t^0(F)=563.958^0+32^0\\t^0(F)=595.958^0[/tex]
[tex]Thus,\\-55.102^0F\leq t^0\leq 595.958^0F[/tex]
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 18-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
30 pieces
540 inches of ribbon in total
Step-by-step explanation:
1 foot = 12 inches
9 feet of ribbon = (9x12) 108 inches of ribbon (1 roll)
5 x 108 = 540 inches of ribbon (in total)
540 / 18 = 30
30 pieces of ribbon
you bought a pair of jeans for $42.95 and a sweater for $36.99 . what was the cash price including a 5% sales tax?
Answer:
Step-by-step explanation:
jeans $42.95
sweater + $36.99
total = $69.94
tax + 5% ($3.497 round to nearest hundredth ($3.50))
total with tax = 73.44
hope this helped!!!! let me know if you need anymore help with this :) have a good day!
I need help , please quickly!
Choose the associated property
The Associative property is not displayed by any of the given equations.
The associative property of several binary operations in mathematics states that the outcome will not change if the parenthesis in an expression are rearranged.
The order in which the operations are carried out within an expression that has two or more instances of the same associative operator in a row doesn't matter as long as the order of the operands is left untouched.
Examples of associative property :
[tex]{\displaystyle {\begin{aligned}(7+8)+1&=7+(8+1)=9\,\\5\times (3\times 7)&=(5\times 3)\times 7=24.\end{aligned}}}[/tex]
The parentheses were rearranged on each line, but the expression values were left alone. It can be argued that "addition and multiplication of real numbers are associative operations" because this is true for addition and multiplication of all real numbers.
Here 8=8+0 displays additive identity property.
10×1=10 displays multiplicative identity
5+0=5 displays displays additive identity property.
[tex]5\times \frac{1}{5}=1[/tex] displays multiplicative inverse property.
[tex]3+\frac{3}{4} =3+\frac{3}{4}[/tex] displays reflexive property.
Hence no equation displays associative property.
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m/PQS = (3x-3)* and m/RQS = (x+19)". Find the value of x.
Answer:
M/paws= (3x-3) and m/rqs
=(x+19).
the value of x is
Step-by-step explanation:
The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.
a. 44
b. 56
c. 61.3
d. 126
e. 138
f. 176
The two numbers by setting up a linear equation are 56 and 32
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the two numbers by setting up a linear equation?Let the two numbers be x and y
Where
y = 4 + 1/2x
So, we have
x + y = 88
Substitute y = 4 + 1/2x in x + y = 88
x + 4 + 1/2x = 88
Evaluate
1.5x = 84
Divide by 1.5
x = 56
Substitute x = 56 in y = 4 + 1/2x
y = 4 + 1/2 * 56
Evaluate
y = 32
Hence, the two numbers by setting up a linear equation are 56 and 32
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Values that are perfect squares? Which ones are
1. 64
2. 32
3. 18
4. 100
Answer:
64,100
Step-by-step explanation:
64,100are the values that are perfect square
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What is the probability of rolling either a 5 or a 6 using a normal six-sided die?
1/3 is the probability of rolling either a 5 or a 6 using a normal six-sided die.
Define probability?Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event.
Given:
Six-sided dice rolled once
Let n be the number of outcomes
let x be the number of favorable outcomes
We know that,
[tex]Probability=\frac{x}{n}[/tex]
When the six-sided dice roll, The possible outcomes are,
[tex]\{1,\;2,\;3,\;4,\;5,\;6\}[/tex]
Therefore,
[tex]Number\;of\;outcomes,\;n=6[/tex]
[tex]Probability\;rolling\;5\;is\;\frac{1}{6}[/tex]
[tex]Probability\;rolling\;6\;is\;\frac{1}{6}[/tex]
Therefore, Probability of rolling either 5 or 6 is,
[tex]P(5\;or\;6)=\frac{1}{6} +\frac{1}{6}[/tex]
[tex]P(5\;or\;6)=\frac{2}{6}[/tex]
[tex]P(5\;or\;6)=\frac{1}{3}[/tex]
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with show work needed. a and b.
a)
Solution,
Given,
Cost for 1 pen = $ 1.50
= 1.50×100 cents
= 150 cents
Cost for 1 ruler = 80 cents
No. of Pens needed to be bought = x
No. of rulers needed to be bought = x+10
Now,
Cost for x pens = x×150 cents
= 150x cents
Cost for (x+10) rulers = (x+10)×80 cents
= 80x cents+800 cents
Then,
Total cost = 150x cents+(80x cents+800 cents)
= 150x cents+80x cents+800 cents
= 230x cents+800 cents
= $(230x ÷ 100)+$(800 ÷ 100)
= $2.3x + $8
Therefore,Louise spent $2.3x and $8 as total amount
b)
Sorry,I dont know inequality
E=mo^2 solve for m ...............................................
The expression for m from the given equation is m = E/o^2
Subject of formulaThe subject of formula is a way of representing a variable with another variable
Given the equation
E = mo^2
We are to make m the subject of the formula. To do that, we will divide both sides of the equation by o^2 to have:
E/o^2 = mo^2/o^2
E/o^2 = m
Swap
m = E/o^2
Hence the expression for m from the given equation is m = E/o^2
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Lashonna passed back 140 papers, if these papers were in stacks of 28 how many stacks of papers did lashonna pass back
By unitary method we can say that number of stacks of papers Lashona will pass back from 140 if each stack conatins 28 papers is 5.
According to the given question.
Total number of papers Lashonna passed back = 140
And one stack is made up of 28 papers.
As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Therefore,
By unitary method number of stacks of papers would be made from 140 if each stack conatins 28 papers
= 140/28
= 5
Hence, by unitary method we can say that number of stacks of papers Lashona will pass back from 140 if each stack conatins 28 papers is 5.
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F(x)=-6x-3 if the input is -8, what is the output
Answer:
F(x) = -6x - 3
F(x) = -6(-8) - 3
F(x) = 48 - 3
F(x) = 45
Levi brought a bag containing 50 small candies. He starts eating the candies at a rate of 4 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Whoever answers correctly with an detailed explanation will get Brainliest!!!
The independent variable x ,represents minutes and dependent variable is the number of candies eating by Levi because the eating of candies depends on the minutes.
A function relating these variable is Z(x)=4x
So Z(7)=28 meaning In 7 minutes Levi ate 28 candies and number of candies left in the bag is 22.
As given,
Independent variable=x
Dependent variable=Z(x)
Function Z(x)=4x
So, Z(7)=4×7
=28
Candies left in bag =50 -28
=22
Therefore, function relating independent variable x with Z(x)=4x and Z(7)=28 represents number of candies ate by Levi in 7 minutes ,number of candies left in the bag is 22.
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In maryland, the sales tax is 6%. what is the tax, in dollars and cents on a 32.74 purchase( round to the nearest cent) Show your work
The tax on the product will be $1.964.
How to compute the value?It should be noted that from the information, the sales tax is 6% and the price of the product is $32.74.
Therefore, the value of the tax will be:.
Tax percentage × Price
= 6% × $32.74
= 0.06 × $32.74
= $1.9643
Therefore, the tax on the product will be $1.964.
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Read following problem. Identify what you need to know. Then use the information in the problem to solve. Show your work.
R S is the midsegment of trapezoid M N O P . What is the length of RS ?
A 14 units B 19 units C 23 units D 26 units
Answer:
ssdf
Step-by-step explanation:
dbd beddbees sveveusbs wie eje edidjebebe djebejdjebe ejd s
Natalie combines 8.54 liters of red paint with 8.31 liters of blue paint to make purple paint. She pours the paint equally into 2 containers, and has 1.13 liters of paint left over. How many liters of paint are in each container?
7.86 liters of purple paint in each container.
Given data from the given problem:volume of red paint is 8.54 liters.
volume of blue paint is 8.31 liters.
Number of container taken is 2 container.
Paint left after equally poured in 2 container.
and we have to find how many liters of paint are in each container.
Volume of RED Paint + Volume of BLUE Paint = Volume of PURPLE Paint
8.54 liters + 8.31 liters = 16.85 liters.
(16.85/2) - (1.13/2) = 15.72/2
=7.86 liters
7.86 liters of purple paint in each container.
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simplify to a single power of 4
Answer: 4^15
Step-by-step explanation:
(4^3)^5=
4^(3*5)=4^15
Louis makes a model of a plane.
The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.
(a) Work out the scale of the model.
Give your answer in the form 1: n
50180
The length of the real plane is 72 metres.
(b) Work out the length of the model.
Give your answer in centimetres.