Innovative School System
Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison concluded that
blue was the favorite color of 720 students in her entire high school of 2000 students.
Choose all of the statements that accurately describe the sample and population from Madison's survey.
O A. The sample of 50 students comes from the population of 2000 students.
B. The sample value of 18 is an estimate of students from the survey whose favorite color is blue.
c. The sample value of 18 is the exact number of students from the survey whose favorite color is blue.
UD. The population value of 720 is an estimate of students in the entire school whose favorite color is blue.
E. The population value of 720 is the exact number of students in the entire school whose favorite color is blue.
Answer:
is not , something other than red, 45%, 55%
Step-by-step explanation:
Which is equivalent to
(102)1/22
A. 10
B. 50
O c. /20
OD. /105
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
List all the factors of 42.
What is the greatest common factor of 42 and 15?
What is the greatest common factor of 42 and 50?
Answer:
42: 1,2,3,6,7,14,21,and 42
GCF of 42 & 15: 3
GCF of 42 & 50: 2
Step-by-step explanation:
have a day
Answer:
3 and 2
Step-by-step explanation:
The factors of 42 are 1,2,3,6,7,14,21,42;
The factors of 15 are 1,3,5,15.
The factors of 42 are 1,2,3,6,7,14,21,42;
The factors of 50 are 1,2,5,10,25,50
Find the measure of the indicated angle to the nearest degree.
A. 76
B. 14
C. 44
D. 46
Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.
We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.
The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):
sin(A) = BC / AC
Substituting the given values, we have:
sin(A) = 32 / 33
Using the inverse sine function (sin⁻¹), we can find the value of angle A:
A = sin⁻¹(32 / 33)
Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.
Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
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A circle has a sector with area \dfrac{17}{2}\pi 2 17 πstart fraction, 17, divided by, 2, end fraction, pi and central angle of \purple{\dfrac{17}{9}\pi} 9 17 πstart color #9d38bd, start fraction, 17, divided by, 9, end fraction, pi, end color #9d38bd radians . What is the area of the circle?
Answer:
The area of the circle is equal to [tex]9\pi[/tex].
Step-by-step explanation:
Given that,
The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]
The central angle is [tex]\dfrac{17}{9}\pi[/tex]
We need to find the area of circle.
We know that,
[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]
So, the area of the circle is equal to [tex]9\pi[/tex].
Joan ran less than 18 miles last week. Which of the following inequalities represents the number of miles Joan ran last week?
Answer:
36 miles
Step-by-step explanation:
18 + 18 = 36
I didn't get a lot of information so my apologies if wrong.
Answer:
Joan<18
Step-by-step explanation:
These symbols indicate the following:
< less than
> greater than
= equal to
If Joan ran less than 18 miles, you must write the inequality just as you would say it. Therefore, Joan < 18 is the correct inequality.
Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Christian to end up with $1,000?
Answer:
r=5.86%
Step-by-step explanation:
. There are 4.14 grams of salt in a solution. If 1.8 grams of salt are added to the solution, how many grams of salt will be in the solution
Answer:
5.94g
Step-by-step explanation:
4.14+1.8=5.94gram
PLEASE HELP FAST!!!!!!!!!!
The formula for the circumference of a circle is: C = 2nr.
C is the circumference and r is the radius. Use 3. 14 as an estimate for t.
Which is the approximate circumference of a circle with a radius of 7 m?
A. 21.98 m
B. 28.26 m
C. 43.96 m
D. 153.86 m
Answer:
43.96
Step-by-step explanation:
You take the radius of 7 and multiply by 2 then multiply by 3.14
find the value of x - please help!
Answer:
x=32
Step-by-step explanation:
you have to solve by taking the interior angle of polygon
The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.
Answer:
C=hypotenuse [h]=50 feet
A=[base]=40foot.
B=perpendicular [p]=?
Area =?
we have
By using Pythagoras law
p²+b²=h²
B²=40²=50²
B²=50²-40²
B=√900
B=30feet
we have
Area of triangle =½×A×B=½×30×40=600feet²
the roped off area is 600 square feet.
it is a right angled triangle.
Find Base
√50²-40²√30²30ftArea
1/2BH1/2(30)(40)30(20)600ft²Off course right angle
NEED HELP ASAP. 30 points will give brainlyest
Answer:
This question has incorrect answers but the answer that they are looking for is: 24 hours
Step-by-step explanation:
The average is the total hours divided by the number of weeks
So far Emily has 6 hours for the first 3 weeks, x is the number of hours she needs to work in the 4th week.
(6+x)/4=10
6+x = 40
x = 34
All the answers they gave are wrong because they did not account for the 4th week while taking averages.
I NEED HELP ASAP!!!!!!
Answer:
I think it's d or a
Step-by-step explanation:
ggood luck
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges for the first time they service your lawn, and the price will multiply by a factor of every week thereafter. Green Thumbs charges for the first time they service your lawn, and then charges an additional every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
Answer:
The answer is "[tex]\$132.77[/tex]".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to 1 + (1.25)^{29} = 647.23\\\\\to 200 + (20 \times 29) = 780\\\\\to 780 - 646.23 = 132.77\\\\[/tex]
If Mr. Donahue bought 10 cookies for $8.00. At this rate, how much
would it cost for 25 cookies?
Answer:
The answer is $20.
Step-by-step explanation:
The way we find how much each cookie is is by dividing 8 by 10. We get 0.8. So now we know each cookie costs 80 cents. So, for 25 cookies, all we need to do is multiply 25 and 0.8. When multiplied, you get the answer $20.
can someone help me with this? no links pls!
Given:
The diagram.
To find:
(a) [tex]m\angle SQT[/tex]
(b) [tex]m\angle QRW[/tex]
(c) [tex]m\angle PRV[/tex]
Solution:
(a)
If two lines intersect each other at a point, then the vertically opposite angles are equal.
[tex]m\angle SQT = m\angle PQR[/tex] (Vertically opposite angles)
[tex]m\angle SQT = 36^\circ[/tex]
Therefore, the measure of angle SQT is 36 degrees.
(b)
If a transversal line intersect two parallel lines, then the alternate interior angles are equal.
[tex]m\angle QRW = m\angle PQR[/tex] (Alternate interior angles)
[tex]m\angle QRW = 36^\circ[/tex]
Therefore, the measure of angle QRW is 36 degrees.
(c)
It is given that the angles PRV and angle PRQ are congruent.
Let the measures of angle PRV and angle PRQ are x degrees.
[tex]m\angle PRV+m\angle PRQ+m\angle PQR=180^\circ[/tex] (Adjacent interior angles are supplementary)
[tex]x+x+36^\circ=180^\circ[/tex]
[tex]2x=180^\circ -36^\circ[/tex]
[tex]2x=144^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{144^\circ}{2}[/tex]
[tex]x=72^\circ[/tex]
Therefore, the measure of angle PRV is 72 degrees.
enter an equation in the form of y = MX + b that represents the function described by the graph
Answer:
y=2/3+3
Step-by-step explanation:
Find the total surface area of the
following cylinder:
r= 5 cm
5 cm
SA = [? ]ī cm2
Answer:
Surface area = 2πrh + 2πr^2
= (2 × 22/7 × 5 ×5 + 2×22/7×25)cm^2
= (1100/7+1100/7)cm^2
= 2200/7 = 314.28571) cm^2 (ans)
Hope it helps
Answer:
100 pi
Step-by-step explanation:
Find the surface area of a square pyramid with side length 2 mi and slant height 5 mi.
5 mi
2 mi
2 mi
Answer: 24 in2
Step-by-step explanation:
The square pyramid has a surface area of 24 square miles.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
The surface area of a square pyramid is given by the formula:
[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)[/tex]
where L is the length of the base, H is the height of the pyramid, and S is the surface area.
Given L = 2 mi and slant height = 5 mi, we need to find H.
Using the Pythagorean theorem, we can find H as follows:
[tex]H^2 = (slant\ height)^2 - (1/2 L)^2\\\\H^2 = 25 - 1\\\\\H^2 = 24\\\\H = \sqrt{24[/tex]
Now, we can plug in the values of L and H into the formula for surface area:
[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)} \\\\S = 2^2 + 2(2)\sqrt{((2/2)^2 + (\sqrt{24})^2)}\\\\S = 4 + 4\sqrt{(1 + 24)}\\\\S = 4 + 4\sqrt{25}\\\\S = 4 + 4(5)\\\\S = 24[/tex]
Therefore, the surface area of the square pyramid is 24 square miles.
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what is the volume of a cylinder in cubic cm with a height of 9cm and a base diameter of 16cm round to the nearest tenths place
Find the area of the figure.
Answer:
28.5 units²
Step-by-step explanation:
Shape 1 - ( length * width ) 3*5 = 15
Shape 2 - ( length * width ) 3*3 = 9
Shape 3 - ( height * base / 2 ) 3*1.5 = 4.5
Jane borrowed $800 from a bank for 4 years and was charged simple interest. The total interest that she paid on the loan was $160. As a percentage, what was the annual interest rate of her loan?
Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?
Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle
The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
PLEASE HELLPPP PLS I
Answer:
38°
Step-by-step explanation:
The angles in a triangle always add up to 180 degrees.
Therefore, all the angles in the triangle given in the question add up to 180 degrees.
So, let's create an equation and solve for [tex]x[/tex]:
[tex]x+44 + 63 + 85 + x = 180[/tex]
Simplify:
[tex]2x + 192=180[/tex]
Solving for [tex]x[/tex] we get:
[tex]2x=-12\\x=-6[/tex]
Now, let's put the value of [tex]x[/tex] we got into the formula for angle A.
[tex]x+44=y[/tex]
[tex]-6+44=y=38[/tex]
(WILL GIVE BRAINLIEST)The coordinate grid shows a polygon. The figure is dilated
according to the rule: (x, y) → ( 3/2 x, 3/2'y). What is the
location of E'?
ANSWER CHOICES:
(4/3,3/4)
(2,8/3)
(9/2,6)
(6,9/2)
Answer:
i think it’s C
Step-by-step explanation:
i just did 3 times 3/2 then 4 times 3/2 i could be wrong cs i’m in 7th but that’s my best guess
Find the circumference.
Use 3.14 for it.
r = 5 cm
C = [?] cm
C= Ttd
Answer:
C=2(3.14)×(5)
C=31.4cm
The circumference of circle is 31.4 cm
What is circumference of circle?"It is the distance around the perimeter of a circle."
Formula for circumference of circle:"C = 2 × π × r,
where r is the radius of the circle."
For given question,
We have been given the radius of a circle.
r = 5 cm
We need to find the circumference of circle.
Using the formula for circumference of circle,
⇒ C = 2 × π × r
We need to use π = 3.14
⇒ C = 2 × 3.14 × 5
⇒ C = 2 × 5 × 3.14 ...............(since a × (b × c) = (a × b) × c)
⇒ C = 10 × 3.14
⇒ C = 31.4 cm
This means, the circumference of circle having radius r = 5 cm
is C = 31.4 cm
Therefore, the circumference of circle is 31.4 cm
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What is the value of y?
Answer:
y = 31
Step-by-step explanation:
Exterior angle thm:
y + y = y + 31
2y = y + 31
2y - y = 31
y = 31
Find the missing angle measures. This is 8th grade math btw
Answer:
w is 146
x is 90
y is 34
z is 56
Answer:
w = 146 degrees
x = 90 degrees
y = 34 degrees
z = 56 degrees
Step-by-step explanation:
Right angles will always add up to 90 degrees.
Straight lines will always add up to 180 degrees.
Since x is a right angle, x = 90 degrees.
Since z + 34 = 90 degrees (a right angle):
90 - 34 = z
90 - 34 = 56 degrees
Since x + y + z = 180 degrees (a straight line), simply plug in the numbers we have found already:
90 + y + 56 = 180
y = 180 - 90 - 56
y = 34
Since w + 34 = 180 degrees (a straight line):
180 - 34 = w
180 - 34 = 146 degrees
What is -7 + 1/3?
Answers:
-7 1/3
-6 2/3
6 2/3
7 1/3
Answer:
-6 2/3
Step-by-step explanation:
Answer
- 6 2 / 3
Step-by-step explanation:
answer is - 6 2/ 3