To find the percentage of observations between two values in a normal distribution, we can convert the values to z-scores and use a z-table to find the corresponding areas. In this case, the percentage of observations between 0.372 and 0.428 is 68.26%.
Explanation:To find the percentage of observations that will lie between 0.372 and 0.428 in a normal distribution with a mean of 0.40 and standard deviation of 0.028, we need to find the area under the curve between these two values.
Using a standard normal distribution table or z-table, we can convert the values to z-scores by subtracting the mean and dividing by the standard deviation. The z-score for 0.372 is (0.372 - 0.40) / 0.028 = -1, and the z-score for 0.428 is (0.428 - 0.40) / 0.028 = 1.
By looking up the corresponding area for these z-scores in the z-table, we find that the area to the left of -1 is 0.1587 and the area to the left of 1 is 0.8413. To find the percentage between -1 and 1, we subtract the smaller area from the larger area: 0.8413 - 0.1587 = 0.6826 or 68.26%.
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Express answer in exact form.
A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.
Write the equation in standard form for the circle with radius 3 centered at the origin
Quickly
Which coordinates represent a translation of B(–4, 1) 3 units to the right and 2 units down?
To translate point B(−4, 1) 3 units to the right and 2 units down, you add 3 to the x-coordinate and subtract 2 from the y-coordinate, resulting in the new coordinates B' = (−1, −1).
The coordinates that represent a translation of B(−4, 1) 3 units to the right and 2 units down can be found by adding 3 to the x-coordinate and subtracting 2 from the y-coordinate of point B. The new coordinates will be:
B' = (−4 + 3, 1 − 2)
So, the new coordinates would be B' = (−1, −1).
If a square has a perimeter of 40 yards, what is the length of one side of the square?
Recycled newspaper sells for $5.00 for 1 ton. The United States recycled 6.6 million tons of newspaper during 1991. Use the distributive property to find how much money was made from the sale of recycled newspapers in 1991.
Answer:
$33,000,000
Step-by-step explanation:
Recycled newspaper sells for $5.00 for 1 ton.
Let x ton be the amount recycled in 1991 by U.S.
so to represented this situation expression will be F(x) = 5 x
Now we replace x = 6.6 million tons
≈ 6.6 × [tex]10^{6}[/tex] tons
Total money made by recycling 6.6 × [tex]10^{6}[/tex] tons
= 5 × 6,600,000
= $33,000,000
In 1991 U.S. made $33,000,000 from the sale of recycled newspapers.
A bacteria culture starts with 150 bacteria and after 4 hours the population consists of 250 bacteria.what is the rate of the increase to the nearest percent?
a.11%
b.13%
c.15%
d.17%
The rate of increase of the bacteria population is found by calculating the population increase (final amount - initial amount), dividing by the initial amount, and multiplying by 100 to get the percentage. The calculated value is 66.66%, which doesn't match with any of the provided options.
Explanation:The subject of this question is bacterial population growth, which falls under the mathematics category, specifically in the section known as growth rates. To find the rate of increase of the bacteria population, first, we have to find the increase in the population amount, which is the final amount (250 bacteria) minus the initial amount (150 bacteria). This gives us an increase of 100 bacteria.
Next, divide this increase (100) by the initial amount (150 bacteria) and multiply by 100 to convert it to a percentage. This gives the formula (250-150)/150*100 = 66.66%. But among the provided choices, we don't have this exact value, which implies that there might be a miscommunication or typographical error in the question.
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Suppose a map company wants to produce a globe with a surface area of 450 in2. use the formulaa equals 4 πr squared , where a is the surface area and r is the radius of the sphere. to the nearest tenth, what is the radius of the sphere? inches
The tax rate is 3.9%
What is the tax on 42$?
Round to the nearest hundredth
To calculate the tax on $42 at a 3.9% rate, first convert the percentage to a decimal (0.039) then multiply the amount by the tax rate. The result is approximately $1.64.
Explanation:The problem involves calculating the tax on a certain amount using a specified tax rate. In this case, the tax rate is given as 3.9% and the amount is $42.
You calculate the tax by multiplying the tax rate by the amount.
First, convert the percentage into a decimal by dividing by 100: 3.9 ÷ 100 = 0.039.
Next, multiply the amount by the tax rate: $42 x 0.039 = $1.638.
Therefore, the tax on $42 at a rate of 3.9% is approximately $1.64, when rounded to the nearest hundredth.
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The tax on $42 with a 3.9% tax rate is approximately $1.64 when rounded to the nearest hundredth.
Explanation:To find the tax on $42 with a tax rate of 3.9%, we need to multiply the total amount by the tax rate. First, turn the percentage into a decimal by dividing 3.9 by 100, which gives us 0.039. After that, you multiply $42 by 0.039. This results in approximately $1.64, which we round to the nearest hundredth as per the instructions, thus our answer is $1.64.
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Is -5/0 undefined. And why is it or why is it not.
-5/0 is undefined.
The reason why division by zero is undefined is because there is no real number that can be multiplied by 0 to get -5.
In essence, the division operation asks how many times the denominator can be contained within the numerator. Since nothing times zero gives any number other than zero, this question has no answer.
Moreover, division by zero is not allowed in the real number system because it can lead to logical contradictions and undefined behavior.
It takes a girl 55 minutes to deliver the papers on her route. if her brother helps, it takes only 20 minutes. how long would it take her brother to deliver the papers by himself? if necessary, round to 1 decimal place.
Answer- 31.11 minutes
Let 'T' be the total number of newspapers.
Newspapers distributed by girl alone in 55 minutes = T
Newspapers distributed by girl alone in 1 minute = T/55
Newspapers distributed by girl and boy in 20 minutes = T
Newspapers distributed by girl and boy in 1 minutes = T/20
Newspapers distributed by boy alone in 1 minute = T/20 - T/55 = 7T/220
On solving, total time taken by boy to distribute newspapers = 31.11 minutes
A student invests $500 for 3 years in a savings account that earns 4% interest per year. No further deposits or withdrawals were made during this time. Which does NOT yield the correct balance in the account at the end of the 3 years? Please show work for the answer! A)500(1.04)^3 B)500(1-.04)^3 C)500(1+.04)(1+.04) D)500+500(.4)+520(.04)+540.8(04)
Answer:
he`s right its a or b
i'm going with b
Step-by-step explanation:
The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42 meters.
length = 13m, Width = 8m.
not enough information.
length = 15m, Width = 6m.
length =1 11m, Width = 10m.
Answer:
the dimensions of rectangle are length = 15 m and width = 6 m
Step-by-step explanation:
Given; The width of a rectangle is [tex]\frac{2}{5}[/tex] its length i.e, [tex]w=\frac{2}{5}l[/tex]
and perimeter of rectangle is 42 meters.
Perimeter(P)of a rectangle in meters is given by:
[tex]P = 2(l+w)[/tex] ; where [tex]l[/tex] is the length of the rectangle and w is the width of the rectangle.
then, substitute the value of P =42 m and [tex]w=\frac{2}{5}l[/tex] in above formula we get;
[tex]42 = 2(l+\frac{2}{5}l) =2 \cdot (\frac{7}{5}l)[/tex]
divide both side by 2 we get;
[tex]21=\frac{7}{5}l[/tex]
On Simplify:
[tex]l = \frac{21 \cdot 5}{7} =3 \cdot 5 =15[/tex] m
Now, substitute the value of [tex]l = 15[/tex] m in [tex]w=\frac{2}{5}l[/tex] to solve for w;
[tex]w= \frac{2}{5} \cdot 15 =2 \cdot 3 =6[/tex] m
Therefore, the dimensions length = 15 m and width = 6 m
10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!!
What equation represents the asymptote of g(x)=e^x+4?
Final answer:
The horizontal asymptote of the function g(x) = e^x + 4 is the line y = 4.
Explanation:
The question asks about the asymptote of the function g(x) = e^x + 4. An asymptote is a line that a graph approaches but never touches. To find the horizontal asymptote of this function, observe that as x approaches positive or negative infinity, the term e^x either grows very large or approaches zero. Therefore, the term +4 determines the horizontal asymptote since it shifts the entire graph of e^x up by 4 units. Thus, the horizontal asymptote is the line y = 4, which means the function approaches this line but never reaches it for x tending toward positive or negative infinity.
At a local baseball game there are 3 hot dog vendors. collectively the vendors sold 1,700 hot dogs. if vendor a sold 456, vendor b sold 607, and vendor c sold 637, what percentage of the total did each vendor sell? (round to the nearest percent.) a) 26 percent, 40 percent, 44 percent b) 45 percent, 37 percent, 18 percent c) 27 percent, 36 percent, 37 percent d) 30 percent, 35 percent, 35 percent
Answer:
c) 27 percent, 36 percent, 37 percent
Step-by-step explanation:
Given,
Hot dogs sold by,
Vendor a = 456
Vendor b = 607
Vendor c = 637,
Total hot dogs = 1700,
Thus, the percentage of the hot dogs sold by a = [tex]\frac{\text{Hot dog sold by a}}{\text{Total hot dogs}}\times 100[/tex]
[tex]=\frac{456}{1700}\times 100[/tex]
[tex]=\frac{456}{17}[/tex]
= 26.82%
≈ 27%
Similarly,
Percentage of the hot dogs sold by a
[tex]=\frac{607}{1700}\times 100[/tex]
[tex]=\frac{607}{17}[/tex]
= 35.71%
≈ 36%
Percentage of the hot dogs sold by a
[tex]=\frac{637}{1700}\times 100[/tex]
[tex]=\frac{637}{17}[/tex]
= 37.47%
≈ 37%
Hence, OPTION c) is correct.
The length of a rectangle is five times its width. if the area of the rectangle is 320 m2 , find its perimeter. m
Final answer:
To find the perimeter of the rectangle, first find the dimensions using the given information and the formula. Then, use the formula for perimeter to calculate the final result.
Explanation:
To find the perimeter of the rectangle, we need to first find the dimensions of the rectangle. Let the width of the rectangle be w. According to the given information, the length of the rectangle is 5 times its width, so the length can be represented as 5w. The area of the rectangle is given as 320 m², so we can set up the equation:
w * 5w = 320
Simplifying this equation, we have:
5w² = 320
Dividing both sides of the equation by 5, we get:
w² = 64
Taking the square root of both sides, we find:
w = 8
So, the width of the rectangle is 8 meters. The length can be found by multiplying the width by 5:
length = 5 * 8 = 40 meters
The perimeter of the rectangle is calculated using the formula: Perimeter = 2*length + 2*width. Substituting the values we found:
Perimeter = 2*40 + 2*8
Calculating this expression, we get:
Perimeter = 80 + 16 = 96 meters
In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below: Three containers of the same shape but different sizes are shown, arranged from the shortest to the longest. The following quantities are written below the containers. x minus 1 liters below the first, x liters below the second, and x plus 1 liters below the third. How many liters of water can the three containers hold in all?
Answer:
It's A 3x
Step-by-step explanation:
I just did the test it's 3x hope this helped. :)
A 10ft pole is to be erected and held in the ground by four wires attached at the top. The guy wires are attached to the ground at a distance of 15 ft from the base poke. What is the exact length of each guy wire? how much wire should be purchased if it cannot be purchased in franctions of foot
PLEASE HELP
Write the standard equation of the circle in the graph.
Question 12 options:
(x – 3)2 + (y + 2)2 = 18
(x – 3)2 + (y + 2)2 = 9
(x + 3) + (y – 2) = 9
(x + 3)2 + (y – 2)2 = 18
The standard equation of the circle based on the given options is (x - 3)2 + (y + 2)2 = 18, which suggests a circle with a center at (3, -2) and a radius of 3√2.
The student asks to write the standard equation of the circle in the graph. To do this, we need to identify the factors of the circle equation, which are the center coordinates
(h,k) and the radius r. The general form of a circle's equation is (x - h)2 + (y - k)2 = r2. Since the radius is the square root of the number on the right-hand side
of the equation and the center coordinates come from the values that x and y are subtracted by, we can determine the equation based on the options provided. One of the statements provided by the student, (x + 3)2 + (y - 2)2 = 18, fits the right form but it suggests the wrong center coordinates and radius. The correct standard equation of a circle based on the given options would be the one with center coordinates (3, -2) and a radius of √18, which can be simplified to 3√2. This information alongside the provided options leads us to select (x - 3)2 + (y + 2)2 = 18 as the correct standard equation of the circle in question.
Please help!!! Will give brainly if correct!! 50 points
Answer:
175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
3^7=2187 converting from exponential to logarithm
It can be written as [tex]\rm{log_32187 = 7}[/tex].
LogarithmA log function is a way to find how much a number must be raised in order to get the desire number. [tex]a^c = b[/tex] can be written as
[tex]\rm{log_{a}b= c}[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
[tex]\rm{log_{10}1000 = 3}[/tex]
Given to us,
Exponential, [tex]3^7 = 2187[/tex]
Now, a = 3, b= 2187, and c = 7.
Therefore, it can be written as [tex]\rm{log_32187 = 7}[/tex].
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Iven 5 different letters, how many different ways can you arrange 3 of them (whether they spell a word or not)
The number of different ways you can arrange 3 out of 5 letters is 10.
Explanation:To find the number of different ways you can arrange 3 out of 5 letters, you can use the formula for combinations. The formula for combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen at a time.
In this case, n = 5 and r = 3. So the number of different ways to arrange 3 out of 5 letters is 5C3 = 5! / (3!(5-3)!) = 10.
Therefore, there are 10 different ways you can arrange 3 out of the 5 letters.
Which of the following equations is non-linear?
A. 5x + 1 = -4x + y
B. y - 2 = 3x + |-2|
C. x + 4y = 2y + 15 - x
D. y + 10y - 3 = 2|x| - 4y
Quadrilateral ABCD is a parallelogram. DE = 6.1 cm and m∠DAB = 120°. What is BC? cm What is m∠BCD? ° What is AB? cm What is EB? cm
There are six important properties of parallelograms to know:
1) Opposite sides are congruent (AB = DC and AD=BC).Answer: check
Step-by-step explanation:
done
(SPANISH) NEED HELP 100 POINTS I WILL MARK BRAINLIEST AND SAY THANK YOU SERIOUS ANSWERS ONLY
Create a public service announcement in Spanish on severe weather procedures to encourage the community to be prepared. Use the graphic organizer to help organize your ideas and to write the vocabulary that you need to create your public service announcement. Refer to pages 1, 2 and 3 of the lesson area for terms and ideas to help you fill out the organizer and, ultimately, create your PSA.
This announcement can be a flyer, a radio message, or a TV message.
You can select the severe weather event that is approaching or imminent.
Describe the severe weather event and tell the community how to protect themselves before, during, or after the weather event.
Include at least 10 ideas related to the severe weather event and the procedures to get prepared
El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.
El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima
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There are 1760 yards yards in a mile. what fraction of a mile is represented by 1100 yards yardsâ?
To find the fraction of a mile represented by 1100 yards, divide 1100 yards by 1760 yards (the total number of yards in a mile). The fraction is 0.625.
Explanation:To find the fraction of a mile represented by 1100 yards, we need to divide 1100 yards by the total number of yards in a mile, which is 1760 yards. We can set up a proportion with the fraction we're looking for, x, in the numerator and 1760 in the denominator:
1100 yards / 1760 yards = x / 1 mile
Since the denominator on the left side is the same as the denominator on the right side, we can cross-multiply and solve for x:
x = 1100 / 1760
x = 0.625
Therefore, the fraction of a mile represented by 1100 yards is 0.625.
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what is the slope of a line perpendicular to the line represented by the equation x=2y+3?
To begin, we need to find the slope of the equation x = 2y + 3. The easiest way to find the slope is to put this equation into slope-intercept form, y=mx+b, where the variable m represents the slope. To do this, we must get the variable y alone on the left side of the equation. First, we subtract 2y from both sides.
x = 2y + 3
-2y + x = 3
Next, we subtract x from both sides.
-2y = -x + 3
Finally, we divide both sides by -2 (there cannot be a coefficient on the variable y in this form).
y = 1/2x + 3
Therefore, the slope of this equation is 1/2. However, we are looking for the slope of a line that is perpendicular to this one. This means that it creates four 90 degree angles where the lines cross, and it has the opposite reciprocal slope.
The opposite reciprocal of 1/2 is -2 (you take the opposite in this case by changing the value from positive to negative, and take the reciprocal by switching the numerator and the denominator).
Thus, your answer is -2.
Hope this helps!
The slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
Explanation:The equation given is x = 2y + 3. To find the slope of a line perpendicular to this line, we need to determine the slope of the given line. The given equation is not in slope-intercept form, which is y = mx + b, where m represents the slope. So, we can rewrite the equation in slope-intercept form by rearranging it as 2y = x - 3 and then dividing both sides by 2, giving us y = (1/2)x - (3/2).
The slope of the line represented by this equation is 1/2. To find the slope of a line perpendicular to this line, we take the negative reciprocal of the slope of the given line. The negative reciprocal of 1/2 is -2. So, the slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
A line with a slope of -2 will have a steepness that is twice as steep as the line represented by the equation x = 2y + 3.
The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100
For Gavin, E= 8865
What is Gavin’s mass
the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting recatangle is 126 in2. What was the original side length of the square
The original side of square is [tex]10\;\rm{in[/tex].
Given: the dimensions of a square are altered so that [tex]8[/tex] inches is added to one side while [tex]3[/tex] inches is subtracted from the other. The area of the resulting recatangle is [tex]126\;\rm{in^2}[/tex].
As per question,
Let the side of square be [tex]x[/tex].
According to the question,
Length of new rectangle be [tex]x+8[/tex].
Breadth of new rectangle be [tex]x-3[/tex]
Area of rectangle [tex]=l\times b[/tex]
[tex](x+8)(x-3)=126[/tex]
[tex]x^2+8x-3x-24=126\\[/tex]
[tex]x^2+5x-150=0[/tex]
[tex]x^2+15x-10x-150=0\\x(x+15)-10(x+15)=0\\[/tex]
[tex](x+15)(x-10)=0\\[/tex]
So, [tex]x=10\;\rm{in[/tex] and neglecting [tex]x=-15\;\rm{in[/tex] as distance can't be negative.
Hence, original side of square is [tex]10\;\rm{in[/tex].
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The point (1, 4) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)