The size of the crowd is 12,000
What is area of plane shape?This is the portion covered by the shape.
Analysis:
Area of field = 100 x 300 = 30000 square feet
If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.
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Which of the following are mathematical sentences? Check all that apply.
A. 5-v
B.7
C. 4+3=7
D. 2<3
Y. 5-re =0
O F. gram
Looking for the answer to this question
Answer:
Option A: Linear Regression
Step-by-step explanation:
The sale values do not increase in a quadratic or exponential function.
After a storm, a 36-foot tall tree is now leaning
towards a house, making an 87° angle with the
ground. If the angle of elevation from the base of
the house to the top of the tree is 38°, how far is the
tree from the house?
The distance of the tree from the house is: 45.99 feet
What is angle of elevation?Angle of elevation is the angle the horizontal makes with the line of sight.
Analysis:
The tree lean towards a house meaning it does not lean on the house but a distance away from the house.
let the distance away from the house be d.
The line of sight intersects the top of the tree at a point.
The height of the point from the horizontal ground is 36 sin 87 = 36(0.998) = 35.92 feet
to find distance of the tree from the house, we use the angle of elevation which is 38 degrees. so that tan 38 = 35.92/d
d = 35.92/0.781 = 45.9 feet
In conclusion, the distance of the tree from the house is 45.9 feet
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If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the answer to the nearest hundredth)
If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75
How to solve z-score problems?
We are given;
Standard deviation; s = 5
z-score = 1.95
Mean = 80
Formula for z-score is;
z = (x' - μ)/σ
Thus;
1.95 = (x' - 80)/5
1.95 * 5 = (x' - 80)
9.75 = x' - 80
x' = 80 + 9.75
x' = 89.75
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Point P is located at (-2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located 2/3 the distance from point P to point R.
A. 4.9
B. 4.7
C. 2.5
D. 2.3
Charlotte recorded the number of minutes she spent exercising in the past ten days: 12, 4, 5, 6, 8, 7, 9, 8, 2, 1. Find the median of the data.
Answer:
6.5
Step-by-step explanation:
Median is always the middle number of the set of data, so lets re order the numbers least to greatest
1,2,4,5,6,7,8,8,9,12
Since there's an even amount there wont be an exact middle number, however we know its in-between 6 and 7. So we can do 6+7 = 13 and then 13/2 = 6.5 to get the middle number or median.
At central high school there are 398 sophomores who do not own a car and 29 who do there are 64 juniors who own a car and 339 who do not there are 123 seniors who own a car compared to 239 who do not complete the two way table to display these data
The proportion of sophomores that do not own a car is equal to 0.93.
What is ratio?Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
The proportion of sophomores that do not own a car is given by:
Number of sophomores that do not own a car = 398.Total number of sophomores = 427Therefore, proportion = 398/427 = 0.93.
The proportion of all students who are seniors who own cars is given by:
Number of seniors who own cars = 123Total number of students = 1192Therefore, proportion = 123/1192 = 0.10.
The proportion of non-car owners who are juniors is given by:
Number of juniors who are non-car owners = 339Total number of students that do not own a car = 976.Therefore, proportion = 339/976 = 0.35.
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Complete Question:
At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.
The proportion of sophomores that do not own a car is?
The proportion of all students who are seniors who own cars is?
The proportion of non-car owners who are juniors is?
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
Answer:
132°
Step-by-step explanation:
We use the circle theorem which states that :
Opposite angles in a cyclic quadrilateral add up to 180 .
Now we know that angles ADC and ABC add up to 180. So :
We make an equation and solve for x :
x+(3x-12) = 180
4x-12 = 180
4x = 192
x = 48
Now we substitute the value of x into Angle B :
3(48) -12 =
144 - 12 = 132
Angle B = 132 °
Hope this helped and have a good day
A rectangle is divided into exactly 20 congruent squares. Then these squares are lined up in a single row extending 36 inches (3 feet). What was the area of the rectangle?
The area of the rectangle is 64.8 square .inch
What is a Rectangle ?A rectangle is a polygon with four sides , opposite sides are parallel and equal.
It is given that
A rectangle is divided into exactly 20 congruent squares
If they are lined up the Length is 36 inches
Therefore the length of each square or the side of the square = 36/20
= 1.8 inch
The area of the rectangle will be
20* Side of square * Side of square
=20*1.8*1.8
= 64.8 square inch
The area of the rectangle is 64.8 square .inch
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What is the answer to this math problem james works in a factory and wraps 8 packages every hour. how many hours will it take james to wrap 3,736 packages
By taking a quotient between the number of packages and the rate at which James works, we conclude that he will need 467 hours.
how many hours will it take James to wrap 3,736 packages?
We know that James wraps at a rate of 8 packages in one hour. Then to get the time in which he can wrap a number N of packages, we need to take the quotient between N and 8.
In this case, N = 3,736.
Taking the quotient we get:
3,736/8 = 467
This means that in 467 hours he will wrap the 3,736 packages.
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What is the value of x in the equation 1/5x-2/3y = 30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
Given equation:
[tex]\sf \dfrac{1}{5}x-\dfrac{2}{3}y=30[/tex]
Steps:
1. Substitute 15 as the value of y in the equation:
[tex]\sf \dfrac{1}{5}x-\dfrac{2}{3}(15)=30\ \textsf{[ multiply ]}\\\\\Rightarrow \dfrac{1}{5}x-\dfrac{30}{3}=30\ \textsf{[ simplify ]}\\\\\Rightarrow \dfrac{1}{5}x-10=30[/tex]
2. Add 10 to both sides:
[tex]\sf \dfrac{1}{5}x-10+10=30+10\\\\\Rightarrow \dfrac{1}{5}x=40[/tex]
3. Multiply both sides by 5 to isolate x:
[tex]\sf 5\left(\dfrac{1}{5}\right)x=5(40)\\\\\Rightarrow x=200[/tex]
4. Check your work:
[tex]\sf \dfrac{1}{5}x-\dfrac{2}{3}y=30\ \textsf{[ substitute 200 for x, and 15 for y ]}\\\\\dfrac{1}{5}(200)-\dfrac{2}{3}(15)=30\ \textsf{[ multiply ]}\\\\\dfrac{200}{5}-\dfrac{30}{3}=30\ \textsf{[ divide ]}\\\\40-10=30\ \textsf{[ subtract ]}\\\\30=30\ \checkmark[/tex]
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Hey there!
Answer :[tex] \boxed{\bold{\green{ x = 200}}} [/tex]
[tex] \\ [/tex]
Explanation:Given expression :
[tex] \sf{ \frac{1}{5} \green{x} - \frac{2}{3} \orange{y} = 30 } [/tex]
1) Substitue 15 for [tex] \sf{\orange{y}} [/tex] :
[tex] \sf{ \frac{1}{5} \green{x} - \frac{2}{3} \orange{ \times 15} = 30 } \\ \\ \implies\sf{ \frac{1}{5} \green{x} - \frac{30}{3} = 30 } \\ \\ \implies\sf{ \frac{1}{5} \green{x} - 10= 30 } [/tex]
[tex] \\ [/tex]
2) Solve for x :
[tex]\sf{ \frac{1}{5} \green{x} - 10= 30 } [/tex]
⇢Add 10 to both sides of the equation :
[tex]\sf{ \frac{1}{5} \green{x} - 10 \: \bold{+ \: 10}= 30 \: \bold{+ \: 10 }} \\ \\ \implies \sf{\frac{1}{5} \green{x} \: = 40 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
⇢Multiply both sides of the equation by 5:
[tex] \Big( \dfrac{1}{5} \green{x}\Big) \: \bold{ \times \: 5}=40 \: \bold{ \times \: 5} \\ \\ \implies \sf{\dfrac{5}{5} \green{x} \: = 200} \\ \\ \implies \green{ \boxed{\sf{x = 200}}}[/tex]
[tex] \\ [/tex]
3) Let's check our answer by replacing [tex] \green{x} [/tex] with 200 and [tex] \orange{y} [/tex] with 15 :
[tex] \sf{\dfrac{1}{5}\overbrace{\green{\times \: 200}}^{\green{x}} - \dfrac{2}{3}\underbrace{\orange{\times \:15}}_{\orange{y}}= \dfrac{200}{5} - \dfrac{30}{30} = 40 - 10 = \boxed{ 30} } [/tex]
[tex] \\ \\ [/tex]
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Rational and irrational numbers
Answer:
Rational numbers is a ratio (i.e., P/Q and Q≠0)
Irrational numbers cannot be expressed as a fraction.
so a
Rational numbers can show a Fraction
Irrational numbers can not show a Fraction
Hope This Helped
Answer:
Rational numbers are any infinite number or ratio that goes on and on and represents such mathematical values, e.g five-over-twelve is a rational number because it is a fraction.
Irrational numbers are squares of a number or any number that does not include a comparison(e.g division, fraction, ratio, etcetera) of a value. For instance, the square root of 2 is an irrational number because it does not go on indefinitely.
6
the incomplete pictogram shows information about the number of eggs sold
shop on monday.
monday
tuesday
wednesday
on monday the shop sold 18 eggs.
on tuesday the shop sold 24 eggs.
on wednesday the shop sold 27 eggs.
use this information
The number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
Given on Monday the shop sold 18 eggs. Therefore, each quarter of the circle represents 3 eggs.
Hence, the number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.
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This table shows the music preferences in 14- to 19-year-olds. A Circle Graph was made using this data and presented at a conference.
What could make people at the conference draw wrong conclusions from this Circle Graph?
A. The Country section has the smallest area.
B. The Rap section covers the largest area.
C. The Alternative section is larger than the rock and roll section.
D. The Classical section is not included in the Circle Graph.
The wrong conclusions that can be drawn from the circle graph are:
The Country section has the smallest area.
The Classical section is not included in the Circle Graph.
What is a circle graph?A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees
In the circle graph, the country section has a percentage of 10% while the classical section has a percentage of 2%.
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Answer:
the answer is D
Step-by-step explanation:
look at the table there are 5 music genres but there's only 4 on the circle graph.
Jason and his friend went to a restaurant for dinner. The food that they ordered cost $25. A 7% sales tax was applied to the total.
After the sales tax was applied, Jason paid a 15% tip on the total bill. How much did Jason pay at the restaurant?
OA. $30.76
OB. $28.75
OC. $30.50
OD. $26.75
Answer:
A. $30.76
Step-by-step explanation:
First find the amount of tax applied to the bill.
Change 7% to a decimal by moving the decimal point two places left.
7% = 0.07
Multiply
25 x 0.07 = 1.75
Add the amount of tax to the total cost.
25 + 1.75 = 26.75
Now find the amount of the tip.
Change 15% to a decimal by moving the decimal two places left.
15% = 0.15
Multiply
26.75 x 0.15 = 4.0125
Add the amount of the tip back into the cost.
26.75 + 4.0125 = 30.7625
Round
30.7625 = 30.76
A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27
Rewrite the formula in factored form and select each true statement below.
The swimmer dives into the water 3 seconds after the timer was started.
The swimmer comes back up 9 seconds after the timer was started.
The swimmer is underwater for 12 seconds.
The swimmer dives into the water 12 seconds after the timer was started.
The swimmer dives to a maximum depth of 27 feet.
The correct true statement is: b. The swimmer comes back up 9 seconds after the timer was started.
The swimmer's maximum depth (in feet)Given:
h(t)=t^2−12t+27
Let velocity of the function= 0
h(t) = 2t - 12
0 = 2t - 12
2t = 12
Divide both side by 2t
t=12/2
t = 6secs
Substitution
h(6) = 6²-12(6)+27
h(6) = 36 - 72 + 27
h(6) = -36 + 27
h(6) = -9 feet
The correct statement is b.
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Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300. How much money will she make in all over 4 weeks
The amount of money that Suzie will make over the four weeks is; $1856
How to find amount of profit made?
Suzie will make a profit of:
The first week = $300
The second week = (300 * 30%) + 300 = $390
The third week = 390 * (1430%) = $507
The fourth week: 507 × (1430%) = $659.1
Thus, Sum of profit = $300 + $390 + $507 + $659.1
Sum of Profit = $1856.1 ≈ $1856
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find slope of a straight line if both intercept are equal
Answer:
-1
Step-by-step explanation:
Let the points be (0, a) and (a, 0) (As it mentions the intercepts are equal)
==============================================================
Applying slope formula :
⇒ m = 0 - a / a - 0
⇒ m = -a/a
⇒ m = -1
algebra 2 pls help ill give brainliest
Answer:
a = -2
p = 2
w = 3
Step-by-step explanation:
The degree of the polynomial is 6 as it has five turning points.
From inspection of the graph it appears that the curve touches
the x-axis at x = 1.
Therefore, a factor is (x - 1) with multiplicity of 2: (x - 1)²
The curve appears to cross the x-axis at x = 2.
Therefore, a factor is (x - 2), so p = 2
There appears to be a point of inflection at x = -1
Therefore, a factor is (x + 1)³, so w = 3
The y-intercept appears to be at (4, 0)
The product of the constants of the found factors is:
⇒ 1³ × (-1)² × (-2) = -2
Therefore, to find the value of a:
⇒ 4 = -2a
⇒ a = -2
Therefore, the polynomial function is:
f(x) = -2(x + 1)³ (x - 1)² (x - 2)
WILL GIVE 100 POINTS PLS HELP RN EVEN IF ITS JUST A FEW
In order to determine the best fit undergraduate program, a high school senior researches the majors offered at the universities he is considering for admissions. The internet search reports that Arizona State University lists nine of their most popular majors and the percent of student population enrolled in the programs.
Popular Majors Percent of Student Body
Biology 8%
Business Marketing 20%
Communications/Journali 6%
Education 5%
Engineering 7%
Interdisciplinary Studies 6%
Psychology 6%
Social Sciences 10%
Visual and Performing Arts 8%
The university’s enrollment is expected to reach at least 20,000 students for the fall semester.
1. The minimum number of students who are expected to be working towards a Social Sciences degree is ???
2. The university requires that any student who is studying Visual and Performing Arts or Communications Journalism must perform in one of the student productions before graduation. At least ??? of the 20,000 students will be performing in the university’s student productions before graduation.
3.
In the fall semester, ???% of the student population will be enrolled in a degree program not listed as one of the university’s most popular.
The most popular degree offered at Arizona State University is ???
4. The most popular degree offered at Arizona State University is ???
5. For the fall semester, the university should expect that ??? students will enroll in one of the two most popular degree programs.
1. 20,000×10%=2,000
2. 20,000×14%=2,800
3. 20,000×5%=1,000
4. Business Marketing
5. 20,000×30%=6,000
Equation of the circle is x^2 +(y-10)^2=16. The radius of the circle is___units. The center of the circle is at ___
Answer:
Radius=4 units
Centre= (0,-10)
Step-by-step explanation:
Given equation of circle is x^2 +(y-10)^2=16
Comparing it with (x-h)^2 +(y-k)^2 = r^2 ,we get,
r=4
Since, centre of a circle=(h,k)=(0,-10)
Answer:
Center (0;10) Radius= 4. Make me brainliest? :(
Step-by-step explanation:
[tex](x + 0)^{2} + (y - 10)^{2} = 16 \\ center(0.10) \\ radius = \sqrt{16} = 4[/tex]
Sandy typed 5 1/2 pages in 15 minutes. at this rate how many pages would sandy type per hour
Answer:
22 pages per hour.
Step-by-step explanation:
5.5/15 = 0.36666
0.36666 * 60 = 22
A sector of a circle has central angle 120 degrees and arc length 10π
centimeters. What is the radius of the circle
Answer:
the radius = 15 cmStep-by-step explanation:
let r be the radius of the circle.
→ We know that in circle , the length of an arc
and the corresponding central angle are proportional.
180 corresponds to πr
120 corresponds to 10π
Then
[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]
[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]
pls help me answer thiss. I really really need help! thank u
Answer:
see explanation
Step-by-step explanation:
the centroid is where the medians intersect.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.
(3)
GF = [tex]\frac{1}{2}[/tex] CG = [tex]\frac{1}{2}[/tex] × 14 = 7
CF = CG + GF = 14 + 7 = 21
(4)
GD = [tex]\frac{1}{3}[/tex] AD = [tex]\frac{1}{3}[/tex] × 45 = 15
AG = 2 × GD = 2 × 15 = 30
(5)
GE = 2 × BG , that is
9x = 2(3x + 6) = 6x + 12 ( subtract 6x from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Use picture to answer
Answer:
C. 1
Step-by-step explanation:
this is how you solve it
the area of a square is 2116 CM square which is equal to the area of a rectangle whose length is 92 cm what is the perimeter of the rectangle
Answer:
Perimeter = 230 cm.Step-by-step explanation:
width of the rectangle = 2116 ÷ 92 = 23
Perimeter of the rectangle = 2×(23 + 92) = 230
The cost of a rice cooker with 13% VAT is Rs 4,068.
Answer:
0.319
Step-by-step explanation:
I have do 13/4068*100percent hope the answer that I have gave is correct
Dina is shipping a wall map to a collector. When the map is rolled up, it measures
7 ft long. She will use a box that is a right rectangular prism with a base that is 3 ft
by 3 ft. Which whole number could be the shortest height of the box that will hold
the map?
A 4 ft
B 5 ft
C 6 ft
D 7 ft
The shortest height of the box that will hold the map is 6 ft option (C) is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Dina is shipping a wall map to a collector. When the map is rolled up, it measures.
From the figure we can apply the Pythagoras theorem to find the length BA:
BA² = 3² + 3²
BA = √18
Again applying Pythagoras theorem:
The height
AD² = 7² - (√18)²
AD² = 31
AD = √31 ft = 5.56 ft ≈ 6 ft
Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.
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Please Help I Don't Understand
Answer:
The arrows on the line segments mean that the lines are parallel.
⇒ EB ║ DC
Therefore, according to Triangle Proportionality Theorem, EB divides the two sides AD and AC proportionally.
Therefore:
[tex]\begin{aligned}\sf \dfrac{AE}{AD} & = \sf\dfrac{AB}{AC}\\\\ \implies \sf \dfrac{10}{10+8} & = \sf \dfrac{x}{10}\\\\ \sf \dfrac{10}{18} & = \sf \dfrac{x}{10}\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf \dfrac{100}{18}\\\\ \sf x & = \sf 5.5555...\end{aligned}[/tex]
As x = 5.55555... round to 5.6 to the nearest tenth,
none of the choices are correct.
Let's see
Use Thales theorem
[tex]\\ \rm\Rrightarrow \dfrac{AE}{AD}=\dfrac{AB}{AC}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{10}{10+8}=\dfrac{x}{10}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{10}{18}=\dfrac{x}{10}[/tex]
[tex]\\ \rm\Rrightarrow 18x=100[/tex]
[tex]\\ \rm\Rrightarrow x=5.56[/tex]
NOTA
Need help with this question!! ASAP!! Will give brainliest!!!!
Answer: x = log₃₇(12)
Step - by - step explanation:
1. Remove the variable from the exponent using logarithms
37^x=12
Take the common logarithm of both sides of the equation:
log₁₀(37^x)=log₁₀12)
Use the log rule: log_a(x^y)=y*log_a(x) to move the exponent outside the logarithm:
x*log₁₀(37)=log₁₀(12)
2. Isolate the x-variable
x*log₁₀(37)=log₁₀(12)
Divide both sides of the equation log₁₀(37) by:
x = log₁₀(12) / log₁₀(37)
Use the formula [tex]log_{b}(x)/log_{b}(a) = log_{a} (x)[/tex]
to combine the logarithms into one:
x=log₃₇(12)
Decimal form:
x=0.6881648129099501
Hope this helps!