Answer:
No, because for the 12 months in the year each date is not equally likely.
Step-by-step explanation:
Not all months have 31 days, meaning that numbers as high as 31 will not be as common.
The proposed simulation overlooking the fact that not all months have 31 days, results in a bias for the dates 29th, 30th, and 31st. Therefore, it wouldn't represent the actual survey accurately.
Explanation:The simulation proposed would not provide a fair representation of an actual survey of 100 people for their birth dates. This is rooted in the fact that not all months have 31 days. The assumption of the simulation means that the dates from 1 through 31 have an equal likelihood of being selected, ignoring the fact that in reality, dates like the 30th and 31st may not be possible for all months. An accurate simulation would require consideration for these variations, meaning dates 1 through 28 should be uniformly represented, with the 29th, 30th, and 31st having conditional probabilities based on the month.
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Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.
Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
A box of modelling clay with a mass of 6.9 kg is divided equally among 12 students.
How many grams does each student get?
Answer:
Each student gets 575 gram of clay
Step-by-step explanation:
1 kg = 1000 g
Mass of the total clay = 6.9 kg = 6.9 * 1000 = 6900.0 = 6900 g
Clay received by each student = Total / Number of students
= 6900 / 12
= 575 g
Rozonda defines the diameter of a circle as a line segment passing through the center of the circle. Is Rozonda’s definition valid?
Answer:
Step-by-step explanation:
It is not valid because not all segments that fit the description are diameters.
Yes, Rozonda's definition of the diameter of a circle as a line segment passing through the center of the circle is valid. The diameter is defined as the longest chord in a circle, and it always passes through the center.
Explanation:Yes, Rozonda's definition of the diameter of a circle as a line segment passing through the center of the circle is valid. The diameter is defined as the longest chord in a circle, and it always passes through the center. In other words, any line segment that connects two points on the circle and passes through the center can be considered a diameter.
For example, if you have a circle with a radius of 5 units, any line segment that connects two points on the circle and measures 10 units in length will be a diameter.
Keywords: diameter, circle, line segment, center
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Helppppppp please, all math lovers I'm calling for you
Answer:
Dive by n square root two, also option one.
Step-by-step explanation:
The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.
Hoped that helped :)
Find the mean:
8, 10, 10, 10, 6, 7, 8
Answer:
8.43
Step-by-step explanation:
8 + 10 + 10 + 10 + 6 + 7 + 8 = 59
59/7 = 8.43 (or keep as improper fraction)
square pyramide has base edges of 48cm and a slant height of 26cm, what is the volume
Answer:
C)
Step-by-step explanation:
Given: Base edge of square pyramid a= 48 cm
Slant height square pyramid l =26 cm
Let h be the height of the right pyramid
Thus,
The volume of square pyramid
Thus C is the right option.The volume of square pyramid=
hope this helped plz let me know :)
Which student solves and explains the equation correctly? Will choose brainliest.
Answer:
Jerry is correct
Step-by-step explanation:
[tex]8^{x} = 512[/tex]
this equation is asking 8 to what power is 512
Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.
Jerry's solution is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.
Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.
Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. [tex]8^{8} = 16777216[/tex]. That is what her solution is saying.
what is 3(4m + 2)
A. 12m + 2
B. 12m + 6
C. 18m
D. 14m
Answer:
B. 12m + 6
Step-by-step explanation:
Just distribute the 3 to both 4m and 2.
Answer:
B. 12m + 6
Step-by-step explanation:
Because there is a three, we must do three times both of the terms:
(3 x 4m) + (3 x 2)
When you do it, we get:
12m + 6
We cannot simplify it any further, so 12m + 6 is out final answer.
Hope this helped :]
What is the solution to 2x-8 <12?
0x<2
x <8
X <10
x <40
Answer:
c.x<10Step-by-step explanation:
Step 1: Add 8 to both sides.
2x−8+8<12+8
2x<20
Step 2: Divide both sides by 2.
2x/2<20/2
x<10
Hope this helps!Please help! 30 points!
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,2), B(6,2), C(6,3), D(-2,3),
What is the area of rectangle ABCD
[Blank] Square Units
Answer:
The answer is eight.
All you have to do is graph the points and count how many boxes are inside the points.
Answer:
The Answer is 8.
Step-by-step explanation:
When you graph the plots on a graph you might look at the graph and say this looks complicated but if you count the boxes in the shape, you will get your answer as 8 square units.
Bacteria grows at an alarming rate of 75% each hour. How many bacteria will there be by the end of the day?
A. 680,634
B. 16,335,198
C. 68,633
D. 680,633
Hi.
This is a geometric sequence with the rational of the sequence : 1.75
If you start with 1,
Then U0 = 1
and U24 = 1*1.75^24≈ 680 634
5. If a student is chosen at random from
those who participated in the survey,
what is the probability that the student is
male, given that the student participates
in sports?
Answer choices:
0.379
0.42
0.524
0.58
Answer:
0.524
Step-by-step explanation:
The probability that the chosen student is a male is 0.524 .
Given,
Number of male students who participated in sports = 110
Number of female students who participated in sports = 100
Number of male students who did not participated in sports = 180
Number of female students who did not participated in sports = 210
Now,
The probability that the male students is chosen will be given by,
P(MALE) = 110/210
P(MALE) = 55/105
P(MALE) = 11/21
P(MALE) = 0.524
Thus the probability of chosing a male student who participates in the sport is 0.524 .
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Mrs. Hughes needs to rent tables for the 325 guests who will attend her
daughter's wedding reception. If Mrs. Hughes seats 8 guests at each table, how
many tables will be completely full? HINT: Is there a remainder in this problem? If
so, solve the division problem and then go back and read the question again
carefully. *
Answer:
40
Step-by-step explanation:
To solve this, divide the number of guests by the number of guests that can be seated at each table.
325/8 = 40 with a reminder of 5
This means that 40 tables will be completely full while one table has only 5 people
Darius flipped a coin 500 times and it landed heads up 300 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?
Group of answer choices
4%
6%
40%
60%
Answer:
Answer is D
500 times, lets divide that by 100. So... 3 out of 5 times is 60%
Step-by-step explanation:
what does y and x equal?
Answer:
(C)
Step-by-step explanation:
I solved it by graphing.
[see picture]
Which polygon will tessellate the plane?
Answer:
Equilateral triangles, squares and regular hexagons are the only regular polygons that will tessellate. Therefore, there are only three regular tessellations.
Step-by-step explanation:
April received $1,800 from her grandmother as a birthday gift. She decided to put the money in an account to save for college. If the account earns 5% interest, compounded annually, how much money will be in the account after 5 years?
A. $2,408.81
B. $2,187.91
C. $2,297.31
D. $26,447.91
Answer: C
Step-by-step explanation:
Alright, first let’s review what compound interest is. Instead of simple interest which pays interest on the principal, it pays interest on the amount in the bank each year, so it basically pays interest on the principal with previous interest. Lets run this example through the years:
Year 1:
= $1800 + 5% (Of 1800)
= $1800 + $90
= $1890
Year 2:
= $1890 + 5% (of 1890)
= $1890 + $94.5
= $1984.50
Year 3:
= $1984.50 + 5% (of 1984.50)
= $1984.50 + $99.23 (I rounded it to the nearest hundredth from its original state, $99.225)
= $2083.73
Year 4:
= $2083.73 + 5% (of 2083.725)
= $2083.73+ $104.19 (I rounded it to the nearest hundredth from its original state, $104.1865)
= $2187.92
Year 5:
= $2187.92 + 5% (of $2187.92)
= $2187.92 + $109.40 (rounded to the nearest hundredth from 109.396)
= $2297.32
This is as close as you can get to answer C, it’s just off one cent because of all the rounding!
i only need to know the first one
Answer:
x = 9
Step-by-step explanation:
2/3x +5 = -2/6x +14
Simplify
2/3x +5 = -1/3x +14
Add 1/3x to each side
2/3x + 1/3x +5 = -1/3x +1/3x +14
3/3x +5 = 14
x+5 = 14
Subtract 5 from each side
x+5-5=14-5
x = 9
Which of these triangles are definitely right triangles? Explain how you know.
Answer: A / D / E
Step-by-step explanation:
You know that because you have an angle that measures 90 degrees I’m each. You can also make the 90 degree box at the corner.
please help answer this
Answer:
b
Step-by-step explanation:
What quadrilaterals can you draw that have two sides with length 7 cm and two sides with length
4 cm?
Which of these quadrilaterals can have two sides with length 7 cm and two sides with length 4 cm?
Select all that apply.
O A. Square
B. Rectangle
C. Trapezoid
OD. Parallelogram
Final answer:
Quadrilaterals that can have two sides of length 7 cm and two of length 4 cm are a rectangle and a parallelogram; a square cannot, and a trapezoid is not certain.
Explanation:
The type of quadrilaterals that can be drawn with two sides of length 7 cm and two sides of length 4 cm are a rectangle and a parallelogram. A square cannot have sides of different lengths, so it wouldn't fit the requirement. A trapezoid could possibly have these side lengths, but only if the non-parallel sides are of different lengths, which isn't stated in the question.
The reason for choosing a rectangle is because it has four right angles and the opposite sides are equal, allowing for two sides to be 7 cm and the other two to be 4 cm. A parallelogram can also have sides of these lengths as long as the opposite sides are equal, and the angles are not restricted to 90 degrees like in a rectangle.
Jane has saved 600 dollars in a college fund. She added money to the account over the next year and at the end of the year the account had 890 dollars. Write an equation to represent the amount she saved over the year.
which of these options ??
A. 890x = 600
B. 600 + x = 890
C. 890 + x = 600
D. 600x = 890
E. none of the above
The answer would be B)
Answer: B
Step-by-step explanation: Jane put $600 in a college fund and over the next year she got $890. You don't know how much money she added to the fund (x is added dollars) so 600+x=890.
Which of the following is true for two complementary angles ∠RST and ∠TSU?
Question 4 options:
A)
m∠RST + m∠TSU = 90°
B)
m∠RST + m∠TSU = 180°
C)
m∠RST = m∠TSU
D)
m∠RST = ½ × m∠TSU
Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Complementary angles ⇒ If the sum of two angles becomes 90 degrees, we can say that this is a complementary pair of angles.
In the given situation angle ∠RST and ∠TSU are a pair of complementary angles.
∠RST + ∠TSU = 90° (Complementary angles)
So, we say that the option "A" is the correct answer.
The correct statement is Option A) m∠RST + m∠TSU = 90°
To determine which statement is true for two complementary angles ∠RST and ∠TSU, we need to understand the definition of complementary angles in geometry.
Complementary angles are two angles whose measures add up to 90 degrees. Therefore, the correct option is:
A) m∠RST + m∠TSU = 90°
This is because, by definition, if two angles are complementary, their measures always sum up to 90 degrees. For instance, if m∠RST is 30 degrees, then m∠TSU must be 60 degrees so that their sum is 90 degrees.
Find the value of x.
A) 21
B) 27
C) 31
D) 34
Answer:
what is the equation?
Step-by-step explanation:
Shawn is buying a new Jet Ski
for $12,500. He is considering
two credit options. Option A Offers
a 6 year loan with 8.5% interest
compounded quarterly, while
Option B offers a 5 year loan with
10% interest compounded annually.
Which is the better option and
how much will he save?
Answer:
B;$573.83 crazy.
Using the compound interest principle, the best loan would be that with the lower return value, Hence, the best option is the option B. The amount saved by going for option B is $90.81
Using the compound interest formula :
[tex] A = P(1 + \frac{r}{n})^{nt} [/tex] P = principal ; r = Rate ; n = compounding time per periodOption A :
[tex] A = P(1 + \frac{r}{n})^{nt} [/tex]
[tex] A = 2000(1 + \frac{0.085}{4})^{4 \times 6} [/tex]
[tex] A = 2000(1 + \frac{0.085}{4})^{24} [/tex]
[tex] A = 2000(1 + 0.00708)^24[/tex]
[tex] A = 2000(1.6564) = 3312.83 [/tex]
Option B :
[tex] A = P(1 + \frac{r}{n})^{nt} [/tex]
[tex] A = 2000(1 + \frac{0.10}{1})^{1 \times 5} [/tex]
[tex] A = 2000(1 + 0.10)^{5} [/tex]
[tex] A = 2000(1 + 0.00708)^5[/tex]
[tex] A = 2000(1.61051) = 3257.79 [/tex]
Difference = 3312. 83 - 3221.02 = $90.81
The better loan would be option B ; as it is cheaper.
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1. What is the slope of the line passing through (-2,3) and (4, -5)?
2. Which of the following is the equation of a line that has a slope of zero and passes through the point (4,6)?
Answer:
Step-by-step explanation:
hello :
1) Hello :
let A(-2,3) B(4,-5)
the slope is : (YB - YA)/(XB -XA)
(-5-3)/(4+2) = -8/6 =-4/3
2) Use the point-slope formula.
y - y_1 = m(x - x_1) you have :
m=0 x_1=4 y_1=6
an equation for this line is : y-6 =0(x-4)
so : y=6
Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5
Answer: [tex]-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6[/tex]
Step-by-step explanation:
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
[tex]-5x^3y^3+8x^4y^2+(-xy^5-6xy^5)+(-2x^2y^4+3x^2y^4)+8x^6[/tex]
[tex]-5x^3y^3+8x^4y^2+(-7xy^5)+(x^2y^4)+8x^6[/tex]
[tex]-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6[/tex]
Answer:
D. 8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5
Step-by-step explanation:
What is the approximate perimeter of the triangle below ?
256 in.
267 in.
275 in.
302 in.
Answer:
i can assure you that it is B: 267
Step-by-step explanation:
edge 2020
Answer:
B) 267 in.
Step-by-step explanation:
Aaliyah wants to determine how age and gender are related to movie genre preference in her town. She selects a simple random sample of 35 males from the 20- to 30-year age group and records their age, gender, and movie genre preference (comedy, romance, or horror). She also selects an independent simple random sample of 45 females from the 45- to 55-year age group and records the same information. Which is the most important observation about Aaliyah's plan? (3 points)
A. The plan is well conceived and should serve the intended purpose.
B. Her samples are too small.
C. She should have used equal sample sizes.
D. She should have selected the two age groups randomly instead of choosing them specifically.
E. She will be unable to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.
Answer:
The correct option is;
E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender
Step-by-step explanation:
The question states that Aaliyah randomly selects the following;
First sample
Sample gender = Males
Sample size = 35
Age bracket of sample = 20 to 30 years
Second sample
Sample gender = Females
Sample size = 45
Age bracket of sample = 45 to 55 years
The plan is to determine how age and gender are related to movie genre preference
Appropriate sample distribution to determine movie genre preference is as follows;
Gender = Male
Age bracket = 20 to 55 years
Gender = Female
Age bracket = 20 to 55 years
Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.
Answer:
E. She will be unable to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.
Step-by-step explanation:
Place the number 62.5 and 62.35 in the number line
Answer:
62.5 would go 5 lines out and 23.35 would go in the middle of the third and fourth line
Step-by-step explanation: