Answer:
310
Step-by-step explanation:
62 percent of 500 is 310
Hope this helps :)
Answer:
Option D, 310
Step-by-step explanation:
In the given graph 500 people were surveyed.
Now we have to calculate the number of individuals who have a college degree or some college.
Now from the given pie chart.
College degree individuals = 25% of 500
= 0.25 × 500
= 175
Individual with some college = 27% of 500
= 0.27 × 500
= 135
So the total of college dgree + some college = 135 + 175 = 310
Option D 310 is the answer.
Person is 75 feet from a hot air balloon.
The balloon goes straight up in the air.
The angle of elevation is 45°.
How high is the balloon?
Answer:
75 feet
Step-by-step explanation:
This is a right triangle because the balloon went straight up. The other angle being 45 means it is an isosceles right triangle. This means the legs are the same length. Since the person is 75 feet away, the balloon is 75 feet up.
Eight trials are simulated. The results are shown in the table.
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
The answer will be 3.33
Hope this Help:)
Answer:
6.22
Step-by-step explanation:
First find the mean:
μ = (105+104+110+112+114+108+108+109) / 8
μ = 108.75
The standard deviation is then:
σ² = [(105-108.75)²+(104-108.75)²+(110-108.75)²+(112-108.75)²+(114-108.75)²+(108-108.75)²+(108-108.75)²+(109-108.75)²] / 8
σ² = 77.5 / 8
σ = 3.11
Margin of error is ±2σ, so ME = ±6.22.
In a plane if two line are perpendicular to the same line then they ___ to each other.
skew
parallel
collinear
perpendicular
It’s either skew parallel
Answer:
parallel
Step-by-step explanation:
Two lines perpendicular to the same line must be parallel to each other.
Find the surface area of the inside of the white study station below
Answer:
the selected answer choice is correct
Step-by-step explanation:
If flattened, it would be a rectangle 1 1/2 feet high by (1 1/2 + 2 + 1 1/2) = 5 ft long. The area of that is ...
(1.5 ft)(5 ft) = 7.5 ft^2
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than mr024-1.jpg? Check all that apply.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble
Answer:
bnm,
Step-by-step explanation:
Use the probability distribution table to answer the question.
What is P(X ≥ 2)?
Enter your answer, as a decimal, in the box.
Answer:
0.88
Step-by-step explanation:
P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)
P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05
P(x≥2) = 0.88
Or, you can calculate it as:
P(x≥2) = 1 - P(x=1) - P(x=0)
P(x≥2) = 1 - 0.09 - 0.03
P(x≥2) = 0.88
Find the area of a regular dodecagon with radius 3cm.
Answer:
[tex]27cm^{2}[/tex]
Step-by-step explanation:
You would use the equation, [tex]area = r^{2} sin(\frac{360}{n})/2[/tex]
r= radius, n = number of sides
*20 POINTS PLEASE HELP!!!!!!*
Answer:
-2x^7 + ...
Step-by-step explanation:
When the end behaviors are different, the function is one of odd degree. When the slope is downward to the right, the leading coefficient (the coefficient of the highest-degree term) is negative.
The one function shown with an odd degree and a negative leading coefficient is the one that starts ...
-2x^7 + ...
A new car is purchased for 24800 dollars. The value for f the car depreciates at 12% per year. What will the value of the car be to the nearest cent after 13 years
Answer:
$4706.81
Step-by-step explanation:
The value each year is multiplied by 100% -12% = 88% = 0.88. After 13 years, the value is 0.88^13 ≈ 0.1897906 times what it was originally: ≈ 4,706.81 dollars.
Answer:
4706.81
Step-by-step explanation:
Jonathan wants to save up enough money so that he can buy a new sports equipment set that includes football,baseball,soccer ball, and basketball
Good luck to Jonathan. I hope he gets his sport set soon.
Help please I have no clue how to do this please show work thanks
Terms that have the same variable part are called like terms. Like terms can be added or subtracted to form a single term.
1.
16x - 4x = -48
First, combine the like terms 16x and -4x.
12x = -48
Now divide both sides by 12.
x = -4
2.
7m - 5 - 13m = 25
First, combine the like terms 7m and -13m.
-6m - 5 = 25
Now add 5 to both sides.
-6m = 30
Divide both sides by -6.
m = -5
3.
12.25 = 0.5q + 3.75
Subtract 3.75 from both sides.
8.5 = 0.5q
Multiply both sides by 2.
17 = q
q = 17
4.
2(2x - 4) + x = 7
Distribute the 2.
4x - 8 + x = 7
Combine 4x and x.
5x - 8 = 7
Add 8 to both sides.
5x = 15
Divide both sides by 5.
x = 3
5.
8 = 3(3x + 8) - x
Distribute the 3.
8 = 9x + 24 - x
Combine 9x and -x.
8 = 8x + 24
Subtract 24 from both sides.
-16 = 8x
Divide both sides by 8.
-2 = x
x = -2
Given the domain value {-3,0,3} What is the range for the equation f(x)=-5x+2
Answer:
{-13, 2, 17}
Step-by-step explanation:
Put the given values where x is, and do the arithmetic.
f({-3, 0, 3}) = -5{-3, 0, 3} +2 = {15, 0, -15} +2 = {17, 2, -13}
Rearranging these range values to numerical order, they are ...
{-13, 2, 17}
_____
Your graphing calculator or spreadsheet can apply a formula to a list of numbers.
The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution
Answer:
the negative solution. It is n = -2
Step-by-step explanation:
Let n represent the number. Then n² - 16 = 6n, and, after rearrangement,
n² - 6n - 16 = 0. This factors as follows:
n² - 6n - 16 = 0 = (n - 8)(n + 2) = 0, and so n = 8 or n = -2.
We are to find the negative solution. It is n = -2.
Write an equation of the line that is parallel to y = 1 2 x + 3 and passes through the point (10, -5).
Answer:
y=1/2x-10
Step-by-step explanation:
y-y1=m(x-x1)
y+5=1/2(x-10)
y=1/2x-10
The results of a poll show that the percent of people who want a new restaurant is in the interval (24%, 38%) . There are 112,483 people in the city.
What is the interval for the number of people who are likely to want this restaurant in their city?
Round to the nearest person.
Answer:
(26996, 42744)
Step-by-step explanation:
24% of 112,483 = 26,996
38% of 112,483 = 42,744
So the interval is (26996, 42744).
The interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%). This is obtained by calculating the number of people corresponding to the percentages.
What is the required interval for the number of people?Given that, the percent of people who want a new restaurant is in the interval (24%, 38%) and there are 112,483 people in the city.
Thus, 24% of 112,483 = (24/100) × 112,483
=26,996
Similarly, 38% of 112,483 = (38/100) × 112,483
=42,744
The required interval for the number of people is (26996,42744).
Hence the interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%).
Learn more about percentages here:
brainly.com/question/6789852
#SPJ2
A three-dimensional figure with one circular or elliptical base and a curved surface that joins the base to the vertex is called _____
Answer:
a cone
Step-by-step explanation:
If the base is circular, then the cone is said to be a "regular" or "circular" cone, much like an ice cream cone.
If the base is elliptical, then it becomes an "elliptical" cone.
Both shapes can be right (where the perpendicular line dropping from the vertex lands on the exact center of the base) or oblique (when the line dropping from the vertex doesn't land on the center of the base)
Please help me out please
Answer:
338 in
Step-by-step explanation:
Tangents drawn to a circle from a common point outside the circle are equal in length.
The 2 lower tangents are both 98 in
The upper left tangents are 22 and 22 and 27 and 27
The upper right tangents are 22 and 22
Calculate the perimeter from the left side clockwise
perimeter = 98 + 22 + 22 + 27 + 27 + 22 + 22 + 98 = 338 in
HELP PLEASE 25 POINTS!!
Describe how the figures are alike.
Describe how the figures are different.
Answer:
They all have diffirent sides and
Answer:
They are all 3D, but they are different shapes. Some of the shapes have more faces than other and some have a different base thans others too.
Step-by-step explanation:
Hope it helps!!
A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)?
Answer:
Trapezoid
Step-by-step explanation:
Given quadrilateral has vertices at points A(-2,-1), B(3,13), C(15,5) and D(13,-11).
Find slopes of lines AD and BC:
[tex]\text{Slope}_{AD}=\dfrac{y_D-y_A}{x_D-x_A}=\dfrac{-11-(-1)}{13-(-2)}=\dfrac{-11+1}{13+2}=\dfrac{-10}{15}=-\dfrac{2}{3}\\ \\\text{Slope}_{BC}=\dfrac{y_C-y_B}{x_C-x_B}=\dfrac{5-13}{15-3}=\dfrac{-8}{12}=-\dfrac{2}{3}[/tex]
Since the slopes are the same, lines AD and BC are parallel.
Find slopes of lines ABD and CD:
[tex]\text{Slope}_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{13-(-1)}{3-(-2)}=\dfrac{14}{5}\\ \\\text{Slope}_{CD}=\dfrac{y_D-y_C}{x_D-x_C}=\dfrac{-11-5}{13-15}=\dfrac{-16}{-2}=8[/tex]
Since the slopes are different, lines AB and CD are not parallel.
This means quadrilateral ABCD is trapezoid (two opposite sides - parallel and two another opposite sides - not parallel)
What is the perimeter, in square centimeters, of a rectangle that has a length of 4 centimeters and a width of 15 millimeters? 38 cm 19 cm 5.5 cm 11 cm
Answer:
11 cm
Step-by-step explanation:
The rectangle width is 15 mm, which is the same as 1.5 cm.
The formula for P is P = 2W + 2L.
Here, with W = 1.5 cm and L = 4 cm, P = 2(1.5 cm) + 2(4 cm) = 11 cm
Answer:
11
Step-by-step explanation:
15 millimeters is 1.5 cm
1.5 + 1.5 + 4 + 4 = 11 cm
HELP!
Directions: Write an algebraic equation for each problem.
You do NOT need to solve each equation, just put the following problem into an equation.
1. The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet.
2. Fifteen more than four times a number is 6 more than five times the number. Use "n" for the number.
3. Martha and Sally had lunch together on Tuesday. Sally paid $2 more than Martha. The total bill was $5.64.
4. Bob paid $3 less than Tim at a local pizza parlor. Together they spent $7.80.
5. There were six more women on a committee than men. The committee was made up of 30 people.
6. Three consecutive integers have the sum of 153.
7. Five times the first of three consecutive even integers is fourteen more than three times the second.
8. The sum of three consecutive even integers is fifty-four.
9. An airplane flies at a rate of 356 km/h. The plane travels a total distance of 1424 km. (Use Distance = Rate * Time for your equation.)
Answer:
1. 6w+6=48
2. n = 9
3. 2x+2 = 5.64
4. 2x-3 = 7.80
5. 2x+6 = 30
6. 3x+3 = 153
7. 2x - 6 = 14
8. 3x + 6 = 54
9. 1424 = 356*t
Step-by-step explanation:
1.
Let the width be w, then twice the width is 2w. But our length is 3 more than twice the width, implying that our length will be 2w+3.
The perimeter of a rectangle is given by the formula;
p = 2(length + width)
2(2w+3+w) = 48
6w+6=48 is our required equation.
2.
Fifteen more than four times a number is 6 more than five times the number. Use "n" for the number.
We first evaluate, Fifteen more than four times a number;
since our number is n, the above statement can be written mathematically as,
4n + 15
The next step we evaluate; five times the number,
5n
In the final step we compare these two expression and solve for n;
we have been told that; Fifteen more than four times a number is 6 more than five times the number. This implies;
4n + 15 - 5n = 6
-n = -9
n = 9
3.
Let the amount paid by Martha be x. Therefore, the amount paid by Sally would be x+2 since she paid 2 more than Martha. The total amount paid by both is;
x+x+2 = 2x+2
The required equation is thus;
2x+2 = 5.64
4.
We let the amount spent by Tim be x. This would mean that Bob spent x-3 since we are told that Bob paid $3 less than Tim. Therefore, the total amount spent by Bob and Tim in terms of x is;
x+x-3 = 2x-3
Therefore, the required equation would be;
2x-3 = 7.80
5.
We let the number of men be x, then the number of women would be x+6 since we are told that there were six more women on the committee than men. The total number of people on the committee in terms of x is thus;
x+x+6 = 2x+6
Therefore, our required equation would be;
2x+6 = 30
6.
Three consecutive integers have the sum of 153.
We let the three consecutive integers be;
x, x+1, and x+2
The difference between consecutive integers is usually 1.
The sum of the above integers in terms of x would be;
x+x+1+x+2 = 3x+3
Therefore, our required equation would be;
3x+3 = 153
7. Five times the first of three consecutive even integers is fourteen more than three times the second.
We let the first even integer be x. The second even integer would be x+2 while the third one would be x+4. The difference between two consecutive even integers is always 2. Now Five times the first of three consecutive even integers would be;
5*x = 5x
On the other hand, three times the second even integer would be;
3*(x+2) = 3x + 6
Now, we are told that 5x exceeds 3x + 6 by 14. Therefore, we can write;
5x - (3x +6) = 14
2x - 6 = 14
Which is the required equation
8. The sum of three consecutive even integers is fifty-four.
We let the first even integer be x. The second even integer would be x+2 while the third one would be x+4. The difference between two consecutive even integers is always 2. The sum of the three consecutive even integers in terms of x would be;
x+x+2+x+4 = 3x+6
The required equation would thus be;
3x + 6 = 54
9. An airplane flies at a rate of 356 km/h. The plane travels a total distance of 1424 km. (Use Distance = Rate * Time for your equation.)
The distance traveled by the plane is given as 1424 while its rate or speed is 356. We let t denote the time it took the plane to travel the given distance at the given rate. Using the equation Distance = Rate * Time, we can write the following equation in t;
1424 = 356*t
Which is our required equation.
Answer:
1. 6w+6=48
2. n = 9
3. 2x+2 = 5.64
4. 2x-3 = 7.80
5. 2x+6 = 30
6. 3x+3 = 153
7. 2x - 6 = 14
8. 3x + 6 = 54
9. 1424 = 356*t
Step-by-step explanation:
For which intervals is the function negative
Select each correct answer
(1,4)
(-3,1)
(-2.5,2.5)
(4,infinity)
(-infinity, -3)
(-1.5, 4.2)
ANSWER
[tex](1,4)[/tex]
[tex](- \infty ,-3)[/tex]
EXPLANATION
The x-values for which the graph is below the x-values below the x-axis is the interval on which the graph is negative.
We can see from the graph that, for
[tex]x < - 3[/tex]
the function is negative.
This can be rewritten as:
[tex] (- \infty ,-3)[/tex]
Also for
[tex]1 < x < 4[/tex]
the function is again negative.
This is also written as:
[tex] (1,4)[/tex]
Answer:
(1,4)
(-infinity, -3)
Step-by-step explanation:
Please help me with this
Answer:
301.6 ft³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = [tex]\frac{1}{3}[/tex] × area of base × perpendicular height (h)
h can be calculated by using Pythagoras' identity in the right triangle
with hypotenuse = 10 and legs 6 and h, thus
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h = [tex]\sqrt{64}[/tex] = 8
Hence
V = [tex]\frac{1}{3}[/tex] × π × 6² × 8
= [tex]\frac{1}{3}[/tex] × 288π = [tex]\frac{288\pi }{3}[/tex] ≈ 301.6
Please help me out!!!!!!!!!
Answer:
Step-by-step explanation:
The trick here (and it is tricky!) is to find the area of the parallelogram as a whole based on the information you're given, and then use that area to solve for h. If we look at the parallelogram sideways and use 5.5 as the height, the base is 9.9. The area for a parallelogram is A = bh, so A = 9.9(5.5) so
A = 54.45 in squared. Now we will use that area value along with the height of h and the base of 11. Remember, just because we are using different numbers this time, the area of the parallelogram doesn't change. Therefore,
54.45 = 11(h) and
h = 4.95 in.
The president of a company that packages almonds releases a report to the media. The report shows that people who eat a handful of almonds each day have 10% fewer cavities.
Which statement describes the most likely reason the president releases the report?
A. The president wants people to understand the importance of taking care of their teeth.
B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.
C. The president wants people to know that it is possible to reduce the number of cavities they may get in the future.
D. The president wants people to believe that they should not eat more than a handful of almonds each day.
Answer:
B
Step-by-step explanation:
The president's company makes money from almonds, so he wants people to believe that almonds are good for one's teeth so that they buy more almonds.
Answer:
B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.
Step-by-step explanation:
The report shows that people who eat a handful of almonds each day have 10% fewer cavities.
The most likely reason the president releases such report is - B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.
The report is a way to emphasize that consuming almonds will help in reducing cavities. This is a great marketing skill by the President as making people believe the effects of almonds, will help in more sales of almonds.
Please help me out with this
Answer:
x = 14
Step-by-step explanation:
Chords equidistant from the centre of a circle are equal.
Both chords are 9 units from the centre, thus equidistant and equal, so
x = 7 + 7 = 14
The standard form of the equation of a circle is (x−4)2+(y−2)2=9. What is the general form of the equation?
x2+y2+8x+4y−29=0
x2+y2−8x−4y−29=0
x2+y2−8x−4y+11=0
x2+y2+8x+4y+11=0
Answer:
[tex]x^{2}+y^{2}-8x-4y+11=0[/tex]
Step-by-step explanation:
we have
[tex](x-4)^{2}+(y-2)^{2}=9[/tex]
The general equation of the circle is equal to
[tex]x^{2}+y^{2}+Ax+By+C=0[/tex]
Convert the standard form to a general form
[tex](x-4)^{2}+(y-2)^{2}=9\\ \\(x^{2} -8x+16)+(y^{2}-4y+4)=9\\ \\x^{2}+y^{2}-8x-4y+20-9=0\\ \\x^{2}+y^{2}-8x-4y+11=0[/tex]
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
Select one:
a. an = 2 • 3n - 1
b. an = 2 • (-3)n - 1
c. an = 2 • 3n
d. an = 2 • (-3)n + 1
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). That already excludes answers A and C.
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:
[tex]a_{2} = 2 * (-3)^{2+1} = 2 * (-3)^{3} = 2 * -27 = -54[/tex]
The result is -54, not -6... so it's not the right result.
Let's test answer B then:
[tex]a_{2} = 2 * (-3)^{2-1} = 2 * (-3)^{1} = 2 * -3 = -6[/tex]
Right! Let's verify with n=5 to get 162:
[tex]a_{5} = 2 * (-3)^{5-1} = 2 * (-3)^{4} = 2 * 81 = 162[/tex]
Confirmed, answer is B. an = 2 • (-3)^(n - 1)
What is the interquartile range of the data?
I think the answer is B.
Answer:
No, correct option is (A) 117.5
Step-by-step explanation:
Interquartile range (IQR) measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile. i.e.
IQR = Q₃ - Q₁
For finding the Interquartile Range of the data:
100, 120, 130, 188, 196, 220, 265, 300
Divide the data into two parts:(100, 120, 130, 188) (196, 220, 265, 300)
2. Now finding the medians of both halves of the data that will be our First and Third Quartile of data.
So, Q₁ = 125 and Q₃ = 242.5
Now, using IQR = Q₃ - Q₁
= 242.5 - 125 = 117.5
Hence, Correct option is Option (A).
Which transformation is a rigid transformation? Image for option 1 Image for option 2 Image for option 3
Answer:
c
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Just did it