Answer:
The only statement that is NOT true is option A.
- If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
Step-by-step explanation:
Complete Question
Ellen is opening. Cookie shop eat a local middle school . She randomly surgery’s students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below based on the survey. Which statement is not true?
Cookie Survey
Type of Cookie | Number of Students
Chocolate Chip | 25
Oatmeal Raisins | 15
Peanut Butter | 22
Sugar | 18
A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
B) 22½% of the students surveyed would buy a sugar cookie.
C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.
D) Half of the students prefer chocolate chips or oatmeal raisin cookies.
Solution
First of, we obtain the proportion or percentages of students surveyed that buy each type of cookie.
Each of that is the number of students that buy the type of cookie in the sample divided by the Total number of students sampled.
Total number of students sampled = 25 + 15 + 22 + 18 = 80
Type of Cookie | N | proportion | %
Chocolate Chip | 25 | 0.3125 | 31.25%
Oatmeal Raisins | 15 | 0.1875 | 18.75%
Peanut Butter | 22 | 0.2750 | 27.50%
Sugar | 18 | 0.2250 | 22.50%
Now, taking the statements one by one
A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
Proportion of students that buy sugar cookie in the sample = 0.225
Number of students that will buy sugar cookie amongst 160 students = np = 160 × 0.225 = 36 students.
This statement is false, that is, NOT true.
B) 22½% of the students surveyed would buy a sugar cookie.
From the table, 22.5% of the students surveyed bought a sugar cookie. Hence, no matter the number of students, the percentage of students that will buy a sugar cookie will approximately be 22.5%.
This statement is True.
C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.
Proportion of students that buy peanut butter cookie in the sample = 0.275
Number of students that will buy peanut butter cookie amongst 240 students = np = 240 × 0.275 = 66 students.
This statement is true.
D) Half of the students prefer chocolate chips or oatmeal raisin cookies.
Proportion of students that buy chocolate chips or oatmeal raisin cookies in the sample = 0.3125 + 0.1875 = 0.50
0.50 is half of the distribution.
Hence, this statement too, is True.
Hope this Helps!!!
what is the volume of 3cm and 7cm
Answer:
21
Step-by-step explanation:
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
Answer: Mode
Step-by-step explanation:
There are three main measures of central tendency: the mode, the median and the mean.
Since the boy has to purchase the brand which is most liked by children, he is using mode.
The mode is the most commonly occurring value in a distribution. That is, the value that occurs most frequently in a set of observations
Can anyone help with this math problem ?
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What was the length of the trim when she started? Write your answer in yards
Answer:
16.028 yards
Step-by-step explanation:
1 inch=0.0833333 foot
24 inches=0.0833333×24
=1.9999992 foot
The mirror is square shaped and each side is 24 inches
If each 24 inches=1.9999992 foot
Then,
4 sides of 24 inches=1.9999992×24
=47.9999808 foot
Maria has 1 foot of trim left
Total Length of trim when she started=47.9999808+0.0833333
=48.0833141 foot
=16.02777136667 yards
Approximately,
16.028 yards
1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR
Answer:
1. The amount that was not spent is: 1080 soles
2. The answer is 5.
Step-by-step explanation:
Question 1. There are two situations:
If you spent 5/8 of the money then notice, that u did not spend 3/8.
If you spend 2/5 of the money, then you would have 72 more.
So think, this equation:
3/8x + 72 = 2/5x
2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.
72 = 2/5x - 3/8x
72 = 1/40x
x = 2880 soles
As you did not spend 3/8 of 2880, the answer is 1080 soles
Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.
Question 2.
We think letters for this excersise.
N = My born year
2020 (this year) - N = E (my age, now)
So N + 10 = when I get 10 years old
N + 20 = when I get 20 years old
N + 30 = when I get 30 years old
N + 40 = when I get 40 years old
The problem says:
(N+10) + (N+20) - (N+E) = 2020
((N+30)+E) - (N-40) = X
So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:
((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020
No minus in the first two terms, so we can break the ( )
2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020
We apply the distributive property for the second term
2020-E+10 + 2020-E+20 - 2020+E-E = 2020
We can cancel two E, and the 2020, so the new form will be:
2020 - 2E + 30 = 2020
We can also cancel the 2020, so if we reorder the equation, we have:
-2E = -30
E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)
Look:
(2005 + 10) + (2005+20) - (2005+15) = 2020
So now, the last part
((2005+30)+15) - (2005+40) = 5
The table below shows the numbers of students at 4 middle schools.
Middle school
Number of students
DuBois
Lakeside
Polk
D D
Woodbridge
Each n equals 100 students.
(a) How many students are at Woodbridge Middle School?
(b) How many more students are at Polk Middle School than at DuBois Middle School?
Answer:
(a) 300
(b)100
Step-by-step explanation:
(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300
(b) DuBois=3*100=300
Polk=4*100=400
400-300=100
You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height (h) in feet above the water in terms of (t) seconds is given by h = -16t^2 + 6t + 12. What is the first step in determining the maximum height that you reach during your dive?
Answer:
h_max = 12.56 units
(the exercise does no specify the units)
Step-by-step explanation:
You have the following function:
[tex]h(t)=-16t^2+6t+12[/tex] (1)
To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:
[tex]\frac{dh(t)}{dt}=-32t+6[/tex]
Next, you equal the result of the derivative to zero and you obtain t:
[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]
Then, you replace this value of t in the equation (1) and you obtain the maximum height:
[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]
[tex]h(t)=12.56[/tex]
hence, the maximum height is 12.56 units
Find the area of the composite figure.
a.) 364 sq ft
b.) 796 sq ft
c.) 800 sq ft
d.) 980 sq ft
Answer:
B. 796 sq ft
Step-by-step explanation:
All of these shapes are rectangles.
The formula for the area of a triangle is length x width.
Dining Room
26 x 14 = 364
Bedroom
14 x 8 = 112
Enclosed Porch
20 x 16 = 320
Then you add all of the products.
364 + 112 = 476
476 + 320 = 796
What is the distance between (-3, 4) and (-3, 10)?
Answer:
6 is the the distance between the points
The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.
Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.
Let the distance between two points be C.
Tio determined the distance between two points [tex](x_1, y_1)[/tex] and ([tex]x_2,y_2[/tex]) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}
Putting the given coordinate in the above formula.
C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6
The required distance between points is 6 units.
Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
Learn more about coordinate here:
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Do not do Number 3 or 2!Please help! I need them in complete sentences! I will award Brainliest and answer any questions you have just please help.
Answer:
2) Only solar because u are near the moon lool
3) i think the same
1-4)There is, however, one side of the moon that never faces Earth head-on. The moon completes a full, 360-degree orbit around our planet every 27.32 days . That's about as long as it takes the moon to finish a single rotation on its own axis. Taken together, those two factors explain why only one side of the moon is ever oriented toward us and about 41 percent of the lunar surface is never visible to Earth-bound stargazer.
Eevery lunar day lasts for 29.5 Earth day
What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations
Answer:
infinitely many solutions
Step-by-step explanation:
Reduce the second equation by dividing all three terms by 3: y + 1 = 2x. Then compare this result to the first equation 2x - y = 1. Noe that these two equations are identical. Thus, the two lines coincide. There are "infinitely many solutions."
You and two friends go to eat pizza there are two deals 10% off of 1 pizza or 30% off of 3 pizzas. Do you want to each pay separately and get 10% off of your bill or do you want to spl it the bill 3 wa
Answer:
Step-by-step explanation:
Assuming the price of 1 pizza is $x. Total number of pizzas is 3.
Considering the first deal,
10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x
The cost of the remaining two pizzas is 2 × x = 2x
The total amount to be paid is
2x + 0.9x = $2.9x
Considering the second deal, 30% off the bill would be
30/100 × 3x = 0.9x
The amount to be paid is
3x - 0.9x = $2.1x
Therefore, I prefer the second deal
Find the sum: 4√3+11√12
15√15
15√3
26√3
48√3
Answer:
26√3
Step-by-step explanation:
4√3+11√12
We know that sqrt(ab) = sqrt(a) sqrt(b)
4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]
4√3+11*[tex]2 \sqrt{3}[/tex]
4√3+22 [tex]\sqrt{3}[/tex]
Combine like terms
26√3
Answer:
[tex]26\sqrt{3}[/tex]
Step-by-step explanation:
Simplify them:
[tex]11\sqrt{12} = 22\sqrt{3}[/tex]
[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]
15 POINTS! will be selecting Brainliest!
How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!
Can you please help with think im pointing on please is so hard i will give you a Brainiest
Answer:
40
Step-by-step explanation:
You need to take 30%of 40 to figure it out.
Hope this helps.
How many solutions does this equation have –3(4x – 16) = 12(24x + 60)
Answer:
This equation has one solution, and it's at (-2.24,0)
Step-by-step explanation:
When graphed, it results in a vertical line that crosses the x-axis at -2.24. Hope this helps =)
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
Step-by-step explanation:
For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
I need help immediately with middle school
Answer:
5*7=35 square units
Step-by-step explanation:
area of parrelogram =B×h
plzz mark me brainliest
Which set of angles can form a triangle?
A: 2 acute and 1 right
B: 1 acute and 2 obtuse
C: 1 acute and 2 right
D: 1 acute, 1 right and 1 obtuse
Answer:
A: 2 acute and 1 right
Step-by-step explanation:
A triangle is a polygon that has 3 sides as well as three angles
Triangles can be can be classified based on their three sides as well as their three angles.
Based on their sides, we have 3 types of triangles.
1. Equilateral triangle: This means they have 3 equal sides.
2. Isoceles triangle: They have only 2 equal sides.
3. Scalene triangle: The 3 sides are not equal
Based on their angles, we have 3 triangles.
a. Acute triangle
b. Obtuse triangle
c. Right angle triangle.
One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.
Answer:
The correct option is;
A: 2 acute and 1 right
Step-by-step explanation:
Here we have the definitions of the angles as follows;
The sum of angles in a triangle = 180°
An acute angle is an angle less than 90°
An obtuse angle is an angle more 90 ° but less 180°
A right angle triangle is an angle equal to 90°
∴ A right angle triangle is an angle = 90°
Therefore, we compare each of the options
A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible
B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°
C: 1 acute and 2 right = <90 + 90 + 90 > 180
D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180
Therefore, the only possible correct option is A.
Which of the following measures of variability can be used to compare two data sets?
Answer:
I think they are the range, the interquartile range. Tell me if if wrong!
Step-by-step explanation:
This is the last one!!!
Answer:
B
Step-by-step explanation:
the mean goes up more than the median
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Answer:
irrational
Step-by-step explanation:
because an irrational number goes on forever so no matter what number is added to it it will always be irrational.
Answer:
Rational
Step-by-step explanation:
A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are
in the box plot shown. How many cars were going between 40 and 48 miles per hour?
Answer:
25 cars
Step-by-step explanation:
The number of cars were going between 40 and 48 miles per hour is 25. Therefore, option C is the correct answer.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box plot, we have
Minimum value = 37
Maximum value = 69
First quartile = 40
Third quartile = 55
Mean = 47
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 × 25%
= 25 cars
Therefore, option C is the correct answer.
Learn more about the box plot here:
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The circumference of a circle with a radius of 2 meters is approximate by the perimeter of an inscribed polygon with 10 sides. Which expression gives the described approximation of the circumference?
Answer: The correct answer is A
Step-by-step explanation:
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Answer:
39 homes
Step-by-step explanation:
The fraction of homes is 13/20
We are checking 60 homes
13/20 * 60 = 39
39 homes
tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°
Answer:
-tan 20
Step-by-step explanation:
They have the same answer when typed in a calculator
A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1099 inches
Step-by-step explanation:
We know that formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi 5^2*14[/tex]
[tex]V=\pi 25*14[/tex]
[tex]V=\pi 350[/tex]
[tex]V=3.14*350[/tex]
[tex]V=1099[/tex]
Answer:
1099
Step-by-step explanation:
Jasmine and her brother Nat are saving to buy a digital camera that costs $135. Jasmine earns $15 per week for babysitting and spends $5 of it. Nat earns $18 per week for walking dogs and spends $7 of it. Which expression can be used to find how many weeks it will take to save for the digital camera?
Answer:
7 weeks
Step-by-step explanation:
Jasmine=$10
Nat=$11
10+11=$22 each week
135/22=6.14
at least 7 weeks
find the value of c that creates a perfect square trinomial
Answer:
C equals 64
Step-by-step explanation:
To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 -----> 8 squared =64. Hope this helped
