Answer:
Step-by-step explanation:
To solve this problem you have to complete the square. To do that, set the quadratic equal to 0, then move the constant over to the other side. That's 2 steps in one, but they're simple ones:
[tex]-5t^2+10t=-65[/tex]
The first picky rule that completing the square has to follow is that the coefficient on the squared term has to be a 1. Ours is a -5, so we factor it out:
[tex]-5(t^2-2t)=-65[/tex] . Now it gets even pickier. To create a perfect square binomial on the left, we take half the linear term, square it, and add it in to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is 1, so we add 1 into the set of parenthesis. BUT the -5 out front is a multiplier and refuses to be ignored. To offset the addition of the 1 inside the parenthesis, we have to multiply it by the -5 out front to get -5:
[tex]-5(t^2-2t+1)=-65-5[/tex]
The perfect square binomial on the left side and simplifying the right:
[tex]-5(t-1)^2=-70[/tex] . Now we'll move the 70 over and set the quadratic back equal to y:
[tex]-5(t-1)^2+70=y[/tex]
That's the quadratic in vertex form. The vertex here is (1, 70) which serves to answer 2 questions for us: the max height of the ball along with the time it was at that max height. For us, the ball reached a max height of 70 m after 1 second in its travels.
You could also do it the "calculus way" which is to find the derivative of the position function, which is
-10t + 10 = 0 and solve for t:
-10t = -10 so
t = 1. That's the time that the ball is at its highest point, and to find the highest point, sub that value in for t in the position function:
[tex]h(t)=-5(1)+10(1)+65[/tex] which comes to 70 m. I'm not sure what class you're taking so I did both! Calculus is way easier.
A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diagram with gravel.
30 ft.
21 ft.
13 ft.
57 ft.
27 ft.
52 ft.
The area that Adam plans to cover with gravel is
weight of gravel on the roof will be
If the weight of the gravel is 12 pounds per square foot, the total
ling
2,702 square feet
Next
2,374 square feet
2,222 square feet
2,031 square feet
Answer:
[tex] Area = 2,031ft^2 [/tex]
Total weight of gravel on the roof = [tex] 24,372 pounds [/tex]
Step-by-step Explanation:
The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.
We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.
Area of rectangle = L*W
Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area to be covered with gravel = [tex] (30*17) + (13*9) + (52*27) [/tex]
[tex] Area = (30*17) + (13*9) + (52*27) = 2,031ft^2 [/tex]
Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = [tex] 12 * 2031 = 24,372 pounds [/tex]
Answer:
2031 and 16925
Step-by-step explanation:
WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HRS Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answer: Resultant force = 114.96 pounds at angle 81.76°
Answer: magnitude = 114.96 lbs, direction = 88.21°
Step-by-step explanation:
Vector A: 150 lbs at 40°
Vector B: 100 lbs at 170°
Slide Vector B onto Vector A so you have a head to tail connection.
Calculate the angle between the vectors (50°).
Use Law of Cosines to find the magnitude of the resultant vector.
Use Law of Sines to find the direction of the resultant vector.
Law of Cosines: c² = a² + b² - 2ab cos θ
Given: a = 150, b = 100, C = 50°
c² = (100)² + (150)² - 2(100)(150) cos 50°
c = 114.96
Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}\\\\\text{Given: a=150, c=114.96, C=50}^o\\\\\\\dfrac{\sin A}{150}=\dfrac{\sin 50^o}{114.96}\\\\\\\sin A=\dfrac{150\sin 50^o}{114.96}\\\\\\A=\sin^{-1}\bigg(\dfrac{150\sin 50^o}{114.96}\bigg)\\\\\\A=88.21^o[/tex]
11/12-1/6q+5/6q-1/3 it says its wrong
Answer:
2/3q + 7/12
Step-by-step explanation:
If you are trying to simplify your expression
4/6q + 7/12
2/3q + 7/12
Please answer it now in two minutes
Answer:
[tex] f = 10.7 [/tex]
Step-by-step explanation:
Given ∆DEF,
<F = 36°
DF = e = 15
EF = d = 6
DE = f = ?
f can be found using the Law of Cosine as shown below:
[tex] f^2 = d^2 + e^2 - 2(d)(e)*cos(F) [/tex]
Plug in your values:
[tex] f^2 = 6^2 + 15^2 - 2(6)(15)*cos(36) [/tex]
Evaluate:
[tex] f^2 = 36 + 225 - 180*0.809 [/tex]
[tex] f^2 = 261 - 145.62 [/tex]
[tex] f^2 = 115.38 [/tex]
[tex] f = 10.74 [/tex]
[tex] f = 10.7 [/tex] (to nearest tenth)
In the article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970's. To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were
Answer:
Option B.
Step-by-step explanation:
According to the question, the data provided is as follows
[tex]H_o : p_1 - p_2 = 0\ (p_1 = p_2)\\\\ H_\alpha : p_1 - p_2 < 0\ (p_1 < p_2)[/tex]
Based on the above information,
The type ii error is the error in which there is an acceptance of a non rejection with respect to the wrong null hypothesis. The type I error refers to the error in which there is a rejection of a correct null hypothesis and the type II refers that error in which it explains the failure of rejection with respect to null hypothesis that in real also it is wrong
So , the type II error is option B as we dont create any difference also the proportion is very less
Express $\frac{15 + 10i}{1 + 2i}$ in rectangular form.
[tex]\dfrac{15 + 10i}{1 + 2i}=\\\\\dfrac{(15 + 10i)(1-2i)}{(1 + 2i)(1-2i)}=\\\\\dfrac{15-30i+10i+20}{1+4}=\\\\\dfrac{35-20i}{5}=\\\\7-4i[/tex]
Answer:
7-4i
Step-by-step explanation:
Multiplying the numerator and denominator by $1-2i$ gives
\begin{align*}
\frac{15+10i}{1+2i} &= \frac{15+10i}{1+2i}\cdot\frac{1-2i}{1-2i}\\
&= \frac{(15+10i)(1-2i)}{1^2 + 2^2} \\
&= \frac{5(3 + 2i)(1 - 2i)}{5} \\
&= (3 + 2i)(1 - 2i) \\
&= 3 + 2i - 6i - 4i^2 \\
&= 3 + 2i - 6i + 4 \\
&= \boxed{7 - 4i}.
Discussion Topic There are four basic operations: addition, subtraction, multiplication, and division. Do you think these four operations can be performed on polynomials? What would it look like to perform these operations on polynomials? Which operation do you think would be the simplest? Which do you think will be difficult?
Step-by-step explanation:
1. Yes addition, subtraction, multiplication, and division can be performed on polynomials. like our everyday arithmetic dealings with mathematical operators, polynomials are no exception when it comes to math operators, the four basic operations addition, subtraction, multiplication, and division can be performed on polynomials as well.
2. It can be less handy plus the operation can get messy if you do not have a good sense/understanding/hold of what you are doing things can get messy.
3. I personally know that the simplest is the addition of polynomials
4. I cant say which is difficult, but the operation that can get things messy for me most time is the division operation
The length of a rectangle is 6cm and its width is 4cm. Find the perimeter
Answer: 20cm
Step-by-step explanation:
The perimeter of a rectangle can be calculated as 2(l+w)
2(6+4)
2(10)
20
Hope it helps, and if you want more info on perimeter, just ask <3
Answer:
20 cm
Step-by-step explanation:
Use folmula P=2(l+w)
Express the equation y= x² + 10x +30 in the form y= a(x - h)² +k
Answer:
[tex]\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }[/tex]
Step-by-step explanation:
Hello, please find my work below.
[tex]y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\[/tex]
a = 1
h = -5
k = 5
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Determine the equation for a line perpendicular to y=1/3+4 and has an x-intercept of 2.
Answer:
y = -3x + 6
Step-by-step explanation:
Any line perpendicular to
y = (1/3)x + 4
has a slope of -1/(1/3) = -3
and equation
y = -3x + b .................(1)
If the line has an x intercept of 2 at (0,2), then
0 = -3(2) + b
solving
b = 6
By substituting b=6 into (1), the line required
y = -3x + 6
Answer:
y = -3x + 2
Step-by-step explanation:
y= [tex]\frac{1}{3}x +4[/tex]
Slope [tex]m_{1}=\frac{1}{3}[/tex]
slope of the perpendicular line [tex]m_{2}[/tex] = [tex]\frac{-1}{m_{1}}[/tex] = [tex]\frac{-1}{\frac{1}{3}}=-1*\frac{3}{1}=-3\\[/tex]
b= 2
Slope intercept form of required line: y = mx + b
y = -3x + 2
-1+(4+7)=(-1+4)+7 what property is this
Answer:
Associative Property.
Step-by-step explanation:
The Associative Property is the property that says that (a + b) + c = a + (b + c).
Hope this helps!
Answer:
Associate Property
Step-by-step explanation:
I found my answer at baba com
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
Answer:
[tex]\boxed{AC = 2.3}[/tex]
Step-by-step explanation:
AD = BD (CD bisects AB means that it divides the line into two equal parts)
So,
AD = BD = AB/2
So,
AD = 3/2
AD = 1.5
Now, Finding AC using Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)
[tex]AC^2= (1.5)^2+(\sqrt{3} )^2[/tex]
[tex]AC^2 = 2.25 + 3[/tex]
[tex]AC^2 = 5.25[/tex]
Taking sqrt on both sides
[tex]AC = 2.3[/tex]
Answer:
[tex]\boxed{2.29}[/tex]
Step-by-step explanation:
The length of AB is 3 units.
The length of CD is [tex]\sqrt{3}[/tex] units.
D is the mid-point of points A and B.
AD is half of AB.
[tex]\frac{3}{2} =1.5[/tex]
Apply Pythagorean theorem to solve for length of AC.
[tex]c=\sqrt{a^2 +b^2 }[/tex]
The hypotenuse is length AC.
[tex]c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }[/tex]
[tex]c=\sqrt{2.25+3 }[/tex]
[tex]c=\sqrt{5.25}[/tex]
[tex]c= 2.291288...[/tex]
Please factorise the equations in the doc bellow ASAP. please show full working
Answer:
1) a+b(x)+a+(y)
b) a+b(x)-a-b(y)
2)p-q(r)-p-q(s)
b)r-2r(s)+r-2t(t)
Step-by-step explanation:
1) ax+bx+ay+by
a+b(x)+a+b(y)
b) ax+bx-ay-by
a+b(x)-a-b(y)
2) pr-ps+qr-qs
pr+qr-ps-qs
p+q(r)-p-q(s)
b) rs-2rs+rt-2t^2
r-2r(s)+r-2t(t)
Hope this helps ;) ❤❤❤
Answer:
Step-by-step explanation:
a)Use distributive property
ax + bx + ay + by = x(a + b) + y(a + b)
= (a + b) (x + y)
b) ax + bx - ay - by = x(a + b) - y (a +b)
= (a +b) (x - y)
2)
a) pr - ps + qr - qs = p (r - s) + q( r - s)
= (r -s )( p + q)
help me Please!!!!!!!
Answer:
[tex]2\sqrt{14\\}[/tex] = q
Step-by-step explanation:
use geometric mean method
4/s = s/10
s^2 = 40
s = 2[tex]\sqrt{10}[/tex]
consider the triangle STR and using the Pythagorean theorem
[tex]s^{2} +16 = q^{2} \\[/tex]
[tex](2\sqrt{10})^{2} +16 = q^{2}[/tex]
40 + 16 = q^2
56 = q^2
[tex]2\sqrt{14\\}[/tex] = q
At 9:00 AM, a person running a race was 2 1/2 miles from the start. By 11:30 AM, he was 13 miles from the start. From 9:00 AM to 11:30 AM, at what rate was he running per hour?
Answer:
4.2 miles per/hour
Step-by-step explanation:
we know
speed total distance covered/ total time taken to cover that distance.
Time from 9:00 Am to 11:30 Am is 2 hours 30 minutes
time = 2 1/2 hours = 5/2 hours
for distance\
By 11:30 AM, he was 13 miles from the start.
so he covered a total distance of 12 miles
At 9:00 AM, a person running a race was 2 1/2 miles from the start
until 9 am he had already ran 2 1/2 miles = 5/2 miles
since we have to take distance travelled from 9 to 11 :30 Am
we need to subtract distance travel until 9 am from total distance traveled until 11:30 pm
Distance travlled from 9:11:30 am = distance traveled from start till 11:30AM - distance traveled from start till 9 AM
Distance traveled from 9:11:30 am = 13 - 5/2 = (26-5)/2 = 21/2
Thus, speed = 21/2 / 5/2 = 21/5 = 4 1/5 miles/hour = 4.2 miles/hour
Thus, he was running with 4.2 miles per/hour.
Which of the following is equal to the fraction below?
(4/5)^6
Answer:
4096/15,625
Step-by-step explanation:
The reason is because the power is distributed individually within the fraction. Since the fraction is already fully simplified, 4096/15625 multiplied by itself is also simplified.
Thus the answer is 4096/15,625 = (4^6)/(5^6)
Which of the following expressions is equal to -3x - 12?
A.(-3x-4i)(x-3i)
B.(-3x+6i)(x+2i)
C.(-3x-6i)(x+2i)
D(-3x+2i)(x-6i)
Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.
Answer:
The correct answers are B, C ,E
Step-by-step explanation:
The correct options are a, c and e
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, the solution of 15 greater-than-or-equal-to 22 + x
1) The first one is correct because the statement is x greater-than-or-equal-to negative 7. And 22+(-7) is = to 15. This means that in order to get a number below 15 by adding 22 and 15, we need a number that is lower than -7.
2) The second one is incorrect because it is the opposite of the first one. As the first one was correct, this statement is implying the complete opposite as the first one.
3) The third one is correct because we are using greater than or equal to; this means the circle would be closed.
4) The fourth option is incorrect because we need x to be lower than -7, not higher.
5) The fifth option is also correct.
Hence, the correct options are is a, c, e.
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
Please answer this question now
Answer:
469.4ft²
Step-by-step explanation:
We have Triangle WXY
In the question, we are given already
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find the third angle = Angle X
Sum of angles in a triangle = 180°
Third angle = Angle X= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Finding side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Finding side x
x / sin X= y/ sin Y
x/ sin 113 = 38/sin 40
Cross Multiply
sin 113 × 38 = x × sin 40
x = sin 113 × 38/sin 40
x = 54.41795ft
x = 54.42ft
To find the area of triangle WXY
We use heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √
Area of the triangle = 469.40772706541ft²
Approximately to the nearest tenth =469.4yd²
WILL GIVE BRIANLIEST Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees. In the diagram of circle O, what is the measure of ? 34° 45° 68° 73°
Answer: 34°
Step-by-step explanation:
The Arc formed by segment AC:
Total measure of an arc = 360°
Measure of Major arc AC = (360° - measure of minor arc)
Minor arc = 146°
THEREFORE,
Major arc AC = (360° - 146°) = 214°
A° = B° = (214° - 146°) / 2 ( tangent - tangent theorem)
Angle formed by tangent AB and BC = difference between major and minor arcs divided by 2 : (Major arc - minor arc) / 2
(214 - 146)° / 2 = 68° / 2 = 34°
The measure of ∠ABC as shown in the circle is 34°.
CircleA circle is the locus of a point such that all the points are equidistant from a fixed point known as the center.
∠OCB and ∠OAB = 90° (angle between a tangent and radius)
∠OCB + ∠OAB + ∠COA + ∠CBA = 360° (angles in a quadrilateral)
90 + 90 + 146 + ∠CBA = 360
∠CBA = 34°
The measure of ∠ABC as shown in the circle is 34°.
Find out more on Circle at: https://brainly.com/question/22965557
The amount of calories you consume after eating x pieces of candy is represented by the function y=150x. Find the domain of the function and determine whether it is discrete or continuous.
Answer:
The function is:
y = 150*x
where y is the number of calories consumed, and x is the number of pieces of candy consumed.
Now, the domain of a function is the possible values of x that you can input in the function.
For this particular case you can have:
x = 0 (no pieces candy)
x = 1 (one piece of candy)
x = 2 (two pieces of candy)
Notice that x can be only whole numbers because, in principle, you can't eat a fraction of a piece of candy.
So we only use x = whole numbers.
Then the domain of the function is equal to all the natural numbers plus the zero, or:
D = {x ∈ N ∪ {0}}
"x belongs to the union between the set of the natural numbers and the zero"
The amount of candies can only be positive values, hence the domain of the value exists on all natural numbers that are x≥0
The domain of a function is the input values of the function for which it exists.
Given the expression that relates the number of calories you consume after eating x pieces of candy as shown:
y = 150x
The amount of candies can only be positive values, hence the domain of the value exists on all natural numbers that are x≥0
The function is also discrete because the number of candies can be counted. Note that the domain of all discrete functions is countable.
Learn more about discrete function here:
https://brainly.com/question/25050804
Un lote con forma cuadrada tiene una superficie de LaTeX: \sqrt{\frac{4225}{16}\:\:\:\:m^2}\:\:\:\:\:. Si el dueño del lote quiere colocar 3 hileras de alambres alrededor del terreno, ¿cuantos metros necesitará?
Answer:
The owner needs 195 meters of wire
Step-by-step explanation:
If the lot is squared shaped, then its area is given by the formula:
[tex]Area =x^2[/tex]
where x is the side of the square. Then considering the value they provide for the surface, each side must be of length:
[tex]x^2=\frac{4225}{16} \,m^2\\x=\sqrt{\frac{4225}{16}} \,\,m\\x=16.25\,\,m[/tex]
Then the perimeter around this square lot is four times that side length:
Perimeter = 4 (16.25 m) = 65 m
and since the owner wants three rows of wire, the total length of wire needed is:
3 (65 m) = 195 m
Plzz help Solve for x x ÷3 3/10 =2 2/5
Answer:
[tex]\huge\boxed{x=7\dfrac{23}{25}}[/tex]
Step-by-step explanation:
[tex]x\div3\dfrac{3}{10}=2\dfrac{2}{5}\\\\\text{convert the mixed number to the impropper fraction}\\\\3\dfrac{3}{10}=\dfrac{3\cdot10+3}{10}=\dfrac{33}{10}\\\\2\dfrac{2}{5}=\dfrac{2\cdot5+2}{5}=\dfrac{12}{5}\\\\x\div\dfrac{33}{10}=\dfrac{12}{5}\\\\x\times\dfrac{10}{33}=\dfrac{12}{5}\qquad\text{multiply both sides by}\ \dfrac{33}{10}\\\\x\times\dfrac{10\!\!\!\!\!\diagup}{33\!\!\!\!\!\diagup}\times\dfrac{33\!\!\!\!\!\diagup}{10\!\!\!\!\!\diagup}=\dfrac{12}{5}\times\dfrac{33}{10}\\\\x=\dfrac{396}{50}[/tex]
[tex]x=\dfrac{198}{25}\\\\x=\dfrac{175+23}{25}\\\\x=\dfrac{175}{25}+\dfrac{23}{25}\\\\x=7\dfrac{23}{25}[/tex]
how do you find y=-4x+3 on a table
He Brought 10 packages of AA and AAA batteries for a total of 72 batteries.
The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
Please answer in full! Thank you
Answer:
4 packages of AA batteries
6 packages of AAA batteries.
Step-by-step explanation:
Let the number of packages of AA batteries bought be x
Let
the number of packages of AAA batteries bought be Y
He Brought 10 packages of AA and AAA
thus,
x+y = 10 equation 1
Given
The AA batteries are sold in packages of 6, it means one packet contains 6 batteries
Thus,
Total number of AA batteries in x packages = 6x
The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries
Thus,
Total number of AAA batteries in y packages = 8y
Given total no. of batteries is 72
thus
6x + 8y = 72 equation 2
x+y = 10
y = 10-x ---using this in equation 2
6x + 8(10 - x) = 72
=> 6x + 80 - 8x = 72
=> -2x = 72-80 = -8
=> x = -8/-2 = 4
y = 10 -x = 10 -4 = 6
y = 6
Thus,
he bought 4 packages of AA batteries
6 packages of AAA batteries.
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A random sample of 1100 Americans results in 121 {0.11} indicating that they are afraid to fly. What is the probability that the sample proportion is more than 0.11
Answer: 0.1457
Step-by-step explanation:
Let p be the population proportion.
Given: The proportion of Americans who are afraid to fly is 0.10.
i.e. p= 0.10
Sample size : n= 1100
Sample proportion of Americans who are afraid to fly =[tex]\hat{p}=\dfrac{121}{1100}=0.11[/tex]
We assume that the population is normally distributed
Now, the probability that the sample proportion is more than 0.11:
[tex]P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}][/tex]
Hence, the probability that the sample proportion is more than 0.11 = 0.1457
PLEASE help me with this question!!! I really need help...
Answer:
The last option
Step-by-step explanation:
The centroid is the point that is equidistant from all the vertices, not the incenter. Furthermore, the incenter is formed by finding the point of concurrency (intersection) of the angle bisectors.
Identify the meaning of the variables in the point-slope form of a line.
Answer:
(x,y) = Any point on the line
m = the slope of the line
(x₁, y₁) = A given point on the line
Step-by-step explanation:
the equation of a straight line is;
y = mx + c
where;
x and y are any point on the line
m is the slope of the line
c is the intercept on the y axis
And a given point on (x,y) can be written as (x₁, y₁)
Therefore, for the case above;
(x,y) = Any point on the line
m = the slope of the line
(x₁, y₁) = A given point on the line
Can someone plz helpp
Answer:
n = 108
Step-by-step explanation:
Radius of the given circle = 9 in.
If this circle is dilated by a scale factor of 6, radius of the dilated circle will be
= 6 × 9
= 54 in.
Circumference of a circle is determined by the formula,
Circumference = 2πr
Where r = radius of the circle
By substituting the value of 'r' in the formula,
Circumference = 2π(54)
= 108π
By comparing it with circumference = nπ
Value of n = 108
The sports car travels along a straight road such
that its acceleration is described by the graph. Construct the
v-s graph for the same interval and specify the velocity of
the car when s = 10 m and s = 15 m.
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
for the interval 0-10 seconds,
a(t) = t m/s^2
v(0) = 0
v(t) = v(0) + integral(a(t)dt)
= 0 + [t^2/2]
= (1/2) t^2
s(0) = 0 .................. arbitrary
s(t) = s(0) + integral(v(t)dt)
= 0 + integral ((1/2)t^2)
= (1/6)t^3
When s(t) = 10 m,
(1/6)t^3 = 10
t^3 = 60
t_1 = 60 ^(1/3) = 3.9149 s approx.
v(t_1) = (1/2) t_1^2 = (1/2)3.9149^2 = 7.663 m/s
When s = 15 m
(1/6)t^3 = 15
t^3 = 90
t_2 = 4.4814 s approx.
v(t_2) = (1/2)t_2^2 = (1/2)4.4814^2 = 10.041 m/s
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
I took the test and got it right