- The total population for the 5 endangered penguin
species is 828,770. The northern rockhopper penguin
makes up 64% of that population. What is the estimated
population of the northern rockhopper penguin?
Answer:
530,413
Step-by-step explanation:
Total x percentage of northern rockhopper penguin
828,770 x 0.64 = 530,413
find 10 f(x) dx 0 if f(x) = 8 for x < 8 x for x ≥ 8 .
The required value of integration of given function is 82.
How we solve integration for conditional limit?To evaluate the integral we need to find the anti-derivative of F(x) and then evaluate it at the limits of integration.
Since F(x) = 8 for x < 8 and F(x) = x for x ≥ 8, we can split the integral into two parts, one from 0 to 8 and another from 8 to 10
According to question:
\($$\begin{aligned}& \int_0^{ 10} \mathrm{~F}(\mathrm{x}) \mathrm{dx} \\& =\int_0^8 F(x) d x+\int_8^{10} F(x) d x\end{aligned}\\$$\)
The anti-derivative of
\(F(x)=8$ is $F(x)=8 x$, so:$$\)
\($$\begin{aligned}& \int_8^{10} F(x) d x \\& =\left.\left(x^2 / 2\right)\right|_8 ^{10} \\& =\left(10^ 2 / 2\right)-\left(8^2 / 2\right) \\& =50-32 \\& =18\end{aligned}$$\)
Putting it all together
\($\int_0^10 \mathrm{~F}(\mathrm{x}) \mathrm{dx}=64+18=82$\)
So, the value of the integral \($\int_0^{10} F(x) d x$\) is 82.
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Complete question:
After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?.
After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large, the best recommendation is c. Increase the sample size.
What is a confidence interval?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specific confidence level; the 95% confidence level is the most commonly used, but other levels, such as 90% or 99%, are also used.
Confidence intervals are used by statisticians to quantify uncertainty in a sample variable. A researcher, for example, may randomly select different samples from the same population and compute a confidence interval for each sample to determine how well it may represent the true value of the population variable. The resulting datasets are all unique, with some intervals containing the true population parameter and others not.
In this case, the sample size should be increased when the results are meaningless because the width of the interval is too large.
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Complete questions
After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?
a. Increase the level of confidence for the interval
b. Decrease the sample size
c. Increase the sample size
d. Reduce the population variance
. Find the angle between the vectors = 2i - 7j and w=-5i - 3j. Round off your answer to the nearest tenth of a degree.
The angle between the vectors is approximately 118.7°.
To find the angle between two vectors, we can use the dot product formula:
v · w = ||v|| ||w|| cos θ
where v and w are the given vectors, ||v|| and ||w|| are the magnitudes of the vectors, and θ is the angle between them.
First, let's calculate the magnitudes of the vectors:
||v|| = sqrt(2² + (-7)²) = sqrt(53)
||w|| = sqrt((-5)² + (-3)²) = sqrt(34)
Next, let's calculate the dot product:
v · w = (2)(-5) + (-7)(-3) = -4
Now we can solve for the angle:
-4 = sqrt(53) sqrt(34) cos θ
cos θ = -4 / (sqrt(53) sqrt(34)) = -0.439
Using a calculator, we can take the inverse cosine to find the angle:
θ = cos⁻¹(-0.439) ≈ 118.7°
Rounding to the nearest tenth of a degree, the angle between the vectors is approximately 118.7°.
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A bag of sweets contains only two different flavours - strawberry and orange The probability that a sweet is strawberry flavour is 0.8 What is the probability that a sweet is orange flavour?
Answer:
out of 1 would be 0.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello
The answer is 0.2
1 - 0.8 = 0.2
The line y = 5x + 2 is shown. -22- 20 18 16 14 12 10- 8 6 0 6 8 Eva wants to use the line to solve the equation 5x + 2 = 11 a) Explain how Eva could do this.
She will plot a graph using the given points and trace the point y = 11 to the x-axis.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as -22- 20 18 16 14 12 10- 8 6 0 6 8 .
Then plot a graph of the line y =5x + 2 with y on the vertical and x on the horizontal.
After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.
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The formula h = rt – 16t ^2 gives a good approximation of the height h in feet that an object will reach in t seconds, when it is projected upward with an initial speed of r feet per second. Write a model for each of the following situations in problem. Solve each equation, and then use your graphing calculator to sketch the function and verify your answer.
An object is thrown upward from the ground with an initial velocity of 32 ft/sec. Find the number of seconds it takes the object to reach the ground. What is the maximum height obtained by this object?
The object reaches a maximum height of 16 feet and hits the ground at 2 seconds after being thrown upward.
To model the situation, we can use the formula h = rt – 16t^2, where r = 32 ft/sec is the initial velocity. Since the object is thrown upward, the initial height is h = 0.
To find the number of seconds it takes the object to reach the ground, we need to find the value of t when h = 0.
0 = 32t – 16t^2
Simplifying the equation, we get
0 = 16t(2 – t)
So, t = 0 or t = 2.
Since t = 0 corresponds to the initial position, the object hits the ground at t = 2 seconds.
To find the maximum height, we need to find the vertex of the parabolic function h = rt – 16t^2. The vertex of the parabola is located at t = -b/2a, where a = -16 and b = r = 32. So, t = -32/(2(-16)) = 1.
We can substitute t = 1 into the equation to find the maximum height:
h = 32(1) – 16(1)^2 = 16 ft
Using a graphing calculator, we can graph the function h = 32t – 16t^2 and confirm our results. The graph shows that the object reaches a maximum height of 16 feet at t = 1 and hits the ground at t = 2, as we calculated analytically.
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PLEASE HELP! IT'S DUE TODAY!
Answer:
25 ft
Step-by-step explanation:
5x = 10² ⇒ x = 20
h = 20 + 5 = 25 ft tall
Find the value of x for which the graph of y = 3x² – 10x + 7 achieves its minimum y-value.
Since this is a parabola, you can plug this equation into an online graphing calculator for a visual. But the value of x which the line achieves its minimum y-value would be 1 2/3
what is m2?
a. 42°
b. 48°
c. 96°
d. 138°
1)
\(180 - 138\) (Reason- LINEAR PAIR)
\(42\)
2)
\(138 + x = 180\) (Reason- Co-interior angles are supplementary)
\(x = 180 - 138\)
\(x = 42\)
Hope it helps you.
✅
The height of the storage space is 6 feet. The length is 2 times the width. The volume of the storage is 48 cubic feet. What is the width and length of the storage space
Step-by-step explanation:
Let's use the formula for the volume of a rectangular prism, which is:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
We are given that the height is 6 feet, and the volume is 48 cubic feet. Therefore, we can solve for the product of the length and width:
lw = V / h = 48 / 6 = 8
We are also given that the length is twice the width, so we can substitute 2w for l:
(2w)w = 8
Simplifying this equation, we get:
2w^2 = 8
Dividing both sides by 2, we get:
w^2 = 4
Taking the square root of both sides, we get:
w = 2
Therefore, the width of the storage space is 2 feet. Since the length is twice the width, the length is:
l = 2w = 2(2) = 4
So the length of the storage space is 4 feet.
Rich bought 4 ice cream cones for his kids. The
chocolate cones cost $1.75 each. The
strawberry cones cost $1.30 each. Rich spent
$6.55 in all. How many chocolate (c) and how
many strawberry (s) cones did he get?
16p + 8 = 2(8p+4) dkdaw
We prove that both side are equal.
In the given question,
The given expression is 16p + 8 = 2(8p+4).
We have to prove that both side are equal.
To solve this question we use have to follow some rule.
Some Rules are
We have to remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.In this given question to solve the expression we firstly solve the bracket.
To solve this question we use Distributive Property
In this property a(b+c) = ab+ac
Solving the expression
16p + 8 = 2×8p+2×4
16p + 8 = 16p+8
Hence, we prove that both side are equal.
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Carson owes Nigel $110. If Carson repays this debt at a rate of $15 per week, which graph best represents when, in weeks, Carson’s debt will be less than $50?
Responses
After doing the equitation the at rate of $15 per week.
How to do graph representation?
Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.
Carson owes = $110
At rate of $15 per week.
The graph representation will follows:
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Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
Can someone help me with this pls?
Answer:
1/4 is the simplest form
Step-by-step explanation:
Answer:
MARK ME BRAINLIEST MARK ME BRAINLIEST
MARK ME BRAINLIESTMARK ME BRAINLIEST
How many 3/9’s are in 2
Answer: they are 3
Step-by-step explanation:
3x3x3
Identify the percent increase or decrease to the nearest percent.
from 25 to 86
Step-by-step explanation:
To find the percentage increase, we use the following formula:
percentage increase = (new value - old value) / old value * 100%
In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:
percentage increase = (86 - 25) / 25 * 100% = 244%
Therefore, the percentage increase from 25 to 86 is approximately 244%.
Answer:
244% increase
Step-by-step explanation:
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
What will the next line of this equation look like: 3(4x - 5) = -21
Answer:
3 • (4x - 5) - 21 = 0
12x - 36 = 12 • (x - 3)
12 • (x - 3) = 0
x = 3
Step-by-step explanation:
Jamari writes a number that is the same distance from 0 to 6 on a number line, but in the opposite direction. What number did Jamari write
Answer:
-6
Step-by-step explanation:
Jamari starts at 0 and goes to 6 but its in the negatives, anything behind the zero (0) going left we always be smaller (<) so the number he wrote was -6.
Solve the equation.
-7b=21
Step-by-step explanation:
-7b=21
Divide both sides by - 7
B= -3
Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
2/3n=-12
n=
Answer:
n=-18
Step-by-step explanation:
Steps:
multiply 3 by both sides of the equation
2. cross out the 3 from \(3(\frac{2}{3} )\) and you will get 2 and then do -12 x 3 and you will get -36.
3. you now have 2n=-36
4. divide both sides by 2 to isolate n by itself.
\(\frac{2n}{2} =\frac{-36}{2}\)
5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18
Hope this helps :) if you have any questions let me know.
Hi!
To find the value of n in the given equation, multiply both sides by 3.
That way, you'll clear the fractions and solving for n will be easier.
\(\implies\boldsymbol{\displaystyle\frac{2}{3} n\times3=-12\times3}\)
Watch what happens:
\(\implies\boldsymbol{\displaystyle\frac{2}{\not3} n\times\not3=-36}\)
On the LHS, the 3's cancel out, and we're left with 2n:
\(\implies\boldsymbol{2n=-36}\)
Now, divide both sides by 2:
\(\implies\boldsymbol{n=-18.}\)
Voila! There's our solution.
Have a nice day!
I hope this helps.
-stargazing
Please help need it in the next 5 mins
Answer:
y = 4x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
here m = 4 , then
y = 4x + c ← is the partial equation
to find c substitute (2, 9 ) into the partial equation
9 = 8 + c ⇒ c = 9 - 8 = 1
y = 4x + 1 ← equation of line
Someone already asked this question but wrong answer. PLS HELP!!!
[x/(y-1)](-4)-[xy+(-3)]/(-1) if x= -5 and y= -2
The worth of expression at x = - 5 and y = - 2 is,
⇒ 1/3
A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.
Considering that;
The expression is,
⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)
Presently, We can place x and y in the above expression as;
⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)
⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)
⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)
⇒ - 20/3 + 7
⇒ 1/3
In this way, The worth of expression at x = - 5 and y = - 2 is,
⇒ 1/3
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In a simple random sample of 100 women from Richmond, Virginia, the average amount of money that these women spent per visit at their hair salons is $32.43. The standard deviation from this sample is $7.84. Which of these is an approximate 95% confidence interval for the mean amount of money that all women in Richmond spend per visit at their hair salons? $32.43 + $1.57 $7.84 + $6.49 O $7.84 £ $3.24 O $32.43 + $7.84 $32.43 + $0.78 Question 10 1 pts In a simple random sample of 100 women from Richmond, Virginia, the average amount of money that these women spent per visit at their hair salons is $32.43. The standard deviation from this sample is $7.84. Suppose that a simple random sample of 100 men in Richmond were asked how much money they spent per visit at the barbershop. The responses resulted in a mean of $21.43 and a standard deviation of $7.84. The margin of error for a 95% confidence interval for the mean amount of money that all men in Richmond spend per visit at their barbershops would be O the same as for women O smaller than for women, because the men's mean was smaller O larger than for women, because the men's mean was smaller
The approximate 95% confidence interval is $32.43 ± $1.57, which gives us the range of $30.89 to $33.97, the correct option is (a).
The approximate 95% confidence interval for the mean amount of money that all women in Richmond spend per visit at their hair salons is calculated as:
CI = X ± Z × (s/√n)
Where X is the sample mean, s is the sample standard deviation, n is the sample size, and Z is the z-score corresponding to the desired level of confidence. For a 95% confidence level, Z is approximately 1.96.
Substituting the values given in the question, we have:
CI = $32.43 ± 1.96 × ($7.84/√100)
CI = $32.43 ± $1.53
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The complete question is:
In a simple random sample of 100 women from Richmond, Virginia, the average amount of money that these women spent per visit at their hair salons is $32.43. The standard deviation from this sample is $7.84. Which of these is an approximate 95% confidence interval for the mean amount of money that all women in Richmond spend per visit at their hair salons?
a. $32.43 + $1.57
b. $7.84 + $6.49
c. $7.84 £ $3.24
d. $32.43 + $7.84
e. $32.43 + $0.78
A lock has a code of 3 numbers from 1 to 25. If no numbers in the code are allowed to repeat, how many different codes could be made?
Therefore , the solution of the given problem of combination comes out to be 2300 different ways to make a code.
Define combination.Combinations are mathematical operations that count all potential arrangements from a collection of elements, where the direction of selection is irrelevant. You can choose any combination of the pieces in any order. It is possible to combine permutations and combinations.
Here,
Given :
=> Code = 3 numbers
Range 1 to 25
So,
n = 25 and r =3
So,
To find the different codes made using 1 to 25 numbers are
=> nCr
=> 25C3
=> 25! / (3! * 22!)
=> 2300
Thus , 2300 different ways to make a code.
Therefore , the solution of the given problem of combination comes out to be 2300 different ways to make a code.
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Nichole ordered lunch at a
restaurant. Her meal totalled
$14.30. If sales tax is 7%, and
she leaves a tip of 20% after
sales tax is added on, what is
the total she paid for lunch?
Answer:
$18.16
Step-by-step explanation:
14.30×7%=1
14.30×20%=2.86
14.30+1×2.86=18.16
Solve the following equations.
28÷x+4=11
Answer:
x=-28/3
28/x=1-4
28/x=-3
28=-3x
-28/3=x
switch them around and that's your answer.
Answer:
x = 4
Step-by-step explanation:
28÷x+4=11
28/x + 4 = 11
Subtract 4 from each side
28÷x+4-4=11-4
28 / x = 7
Multiply each side by x
28/x * x = 7x
28 = 7x
Divide each side by 7
28/7 = 7x/7
4 =x
Solve this numerical problems
a Convert: 794mm into m and One day into sec.
To convert mm to m, divide by 1000:
794/1000 = 0.794 m
1 day = 24 hours
1 hour = 3600 seconds
24 x 3600 = 86,400 seconds in a day
Answer:
Step-by-step explanation:
To convert 794mm into m
1000mm = 1m
794mm = xm
m = 794/1000
m = 0.794m
One day to secs is
= 84,400secs