Answer:
460
Step-by-step explanation: multiply all numbers to get your answer
The circumference of a hula hoop is 86 cm what is the radius of the hula hoop?
Formula for circumference that involves the radius ⇒ C = 2πr
Since we are given that the circumference is 86 cm, substitute it in.
86 = 2πr
Now, π is equal to approximately 3.14 so we can
plug 3.14 in for π and we have 86 cm = 2(3.14)r.
Now solve the equation.
2(3.14) is 6.28 and we have 86 cm = 6.28r.
Now divide both sides by 6.28 and we have 13.6942 = r.
So the radius of the hula hoop is 13.6942 cm.
Answer:
43
Step-by-step explanation:
When Rachel put gas in her car she records the distance and she has driven since her last fill up and then number of gallon of gas that her car has used. she use this information to predict the amount of gas in her car we used to travel to different distance.Complete the equation so that it models the relationship between the number of gallons of gas that the Car uses Jeannie and the number of miles the car has driven D click the arrow to choose on the answer from each menu
Answer:
we need picture
Step-by-step explanation:
Answer:
G 0.04 Times D
Step-by-step explanation:
A sample of 50 impossible whoppersandwiches have a mean fat content of 37.6g and standard deviation of 4.9g . A sample of 58 regular whopper sandwiches have a mean fat content of 39.3g and standard deviation of 2.7g. Use a 0.05 significance level to test the claim that the mean fat content for the impossible whopper is less than the mean fat content for the regular whopper.
(Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal.)
USE A 0.05 SIGNIFICANCE LEVEL TO TEST THE CLAIM:
H0: μ1____ μ2For Q17(circle one: equal to, less than, greater than, not equal to )
H1 : μ1____ μ2For Q18(circle one: equal to, less than, greater than, not equal to )
Test Statistic t=__________ Q19(ROUND TO 2 DECIMAL PLACES)
P-value: p =_____________ Q20(ROUND TO 4 DECIMAL PLACES)
Decision/Conclusion: _________________________________Q21(CIRCLE ONE BELOW) Reject H0, There is sufficient evidence to warrant the rejection of the claim.
OR
Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim.
Construct an appropriate confidence interval ( ______________ Q22, _______________ Q23) (ROUND TO 3 DECIMAL PLACES)
Answer:
Step-by-step explanation:
H0: μ1____ μ2For Q17(circle one: equal to, less than or equal to, greater than or equal to, not equal to )
H1 : μ1____ μ2For Q18(circle one: equal to, less than, greater than, not equal to )
Formula for calculating the the test:
t = [ (x₁ - x₂) - d ] / sqrt[(s₁²/n₁) + (s₂²/n₂)]
where x₁ = 37.6, x₂ = 39.3, d = 0 assuming equality = 37.6 - 39.3 = -1.7
s₁² = 4.92 = 24.01, s₂² = 2.72 = 7.29, n₁ = 50, n₂ = 58.
thus, t = [ (-1.7) - (0)] / √(24.01/50) + (7.29/58)
t = (-1.7) / (0.4802 + 0.1257)
t = -1.7 / 0.6059
t = -2.8057. = -2.81
P value:
Lets find the degree of freedom:
DF = (s₁²/n₁ + s₂²/n₂)² / { [ (s₁² / n₁)² / (n₁ - 1) ] + [ (s₂² / n₂)² / (n₂ - 1) ] }
DF = (24.01/50 + 7.29/58)² / {[(24.01 / 50)² / 50-1)] + (7.29/58)² / 58-1)]}
DF = (0.4802 + 0.1257)² /{[ (0.4802)²/49] + (0.1257)²/57)]}
DF = (0.6059)²/ (0.00471 + 0.00028)
DF = 0.3671 / 0.00499 = 75.37
Thus, P value = 0.9968 using a t distribution calculator.
Decision/Conclusion: Since the P value 0.9968 is greater than α (.05), Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim.
What is the range of values for the measurement 300 ± 2%?
Wyatt analyzed the data from his science experiment and found that the MAD was greater than the IQR. What does this tell you about the variability of the data?
a
The average of the data is closer to the least value than it is to the greatest value.
b
The middle 50% of the data is spread out more than the average variation.
c
The average variation is spread out more than the middle 50% of the data.
d
The average of the data is closer to the greatest value than it is to the least value.
Answer:
The correct option is C
Step-by-step explanation:
The average variation is spread out more than the middle 50% of the data.
PLEASE HELP ??
What is the length of x?
Answer:
[tex]1\dfrac{3}{5}[/tex]
Step-by-step explanation:
Because these two triangles are similar:
[tex]\dfrac{4}{5}=\dfrac{x}{2}\\x=\dfrac{8}{5}=1\dfrac{3}{5}[/tex]
Hope this helps!
A 2-kilogram bag of sugar costs $5.09. What is the unit price, rounded to the nearest cent?
Answer:their is something wrong in the question
Step-by-step explanation:
Suppose corn chips cost 21.5 cents per ounce . If a bag cost $2.91, how many ounces of chips
Answer:
13 ounces
Step-by-step explanation:
291/21.5=13.5348837209
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of
7ft, and a length of 4ft?
Answer:
476ft^3
Step-by-step explanation:
Base area =length × width
= 7 × 4 = 28ft^2
Volume = base area × height
= 28 × 17 = 476ft^3
graphic designworks employed three different sales people last year Person 1 earned 3500 in the first quarter person 2 earn 6500 in the first quarter and Person 3 earned 8000 in the first quarter what are the maximum FUTA deduction for the first quarter
A.1054.00
B. 620.00
C.1116.00
D.899.00
Answer:
B im not to sur tho tell me if you got it
Answer:
1054.00
Step-by-step explanation:
Find the perimeter of a parallelogram whose base is 8cm and another side is 12cm
A parallelogram
P=2(a+b)
The answer is 64
P=2(a+b)=2·(24+8)=64
Point A is at (2,-8) and the point C is at (-4,7). Find the coordinates of point B on AC such that the ratio of AB to BC is 2:1.
Answer:
The coordinates of point B are (-2, 2)
Step-by-step explanation:
We have two points: A and C.
The coordinates for A are (2, -8) and the coordinates for C are (-4, 7).
We have to find the coordinates of the point B, that satisfies the condition that the distance AB is 2 times the distance BC.
We also know that B is a point of the line AC.
We can calculate the line AC as a linear function y=mx+b.
The slope m is:
[tex]m=\dfrac{y_c-y_a}{x_c-x_a}=\dfrac{7-(-8)}{-4-2}=\dfrac{15}{-6}=-2.5[/tex]
Then, the y-intercept b can be calculated using the coordinates of one of the points, in this case point A:
[tex]y=-2.5x+b\\\\b=y_a+2.5x_a=-8+2.5*2=-8+5=-3[/tex]
Then, we know that B is a point of the linear function y=-2.5x-3, within the range x ∈ (-4; 2).
To have a ratio AB to BC of 2 to 1, we can divide the length of the line AC in 3 parts, and the point B will be located in the end of the segment nearer to point C.
In the picture attached, you can see the division of the segment AC in three parts and the location of point B=(x, y).
Applying the Thales theorem, we can divide the segment in the y-axis in three and calculate y, and the same for the x-axis.
Then, the coordinate y for the point B is:
[tex]y=y_c-(y_c-y_a)/3\\\\y=7-[7-(-8)]/3=7-15/3=7-5=2\\\\\\x=x_c-(x_c-x_a)/3\\\\x=-4-(-4-2)/3=-4-(-6)/3=-4+2=-2[/tex]
Then, the point B has coordinates (-2, 2).
We can verify the distances as:
[tex]AB=\sqrt{(2-(-2))^2+((-8)-2)^2}=\sqrt{16+100}=\sqrt{116}\\\\\\BC=\sqrt{((-2)-(-4))^2+(2-7)^2}=\sqrt{4+25}=\sqrt{29}\\\\\\\dfrac{AB}{BC}=\dfrac{\sqrt{116}}{\sqrt{29}}=\sqrt{\dfrac{116}{29}}=\sqrt{4}=2[/tex]
Answer: (-2,2)
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
5 ≥ p
Step-by-step explanation:
Add 5 to both sides:
0 ≥ p - 5
+5 + 5
________
5 ≥ p
Answer:
p <= 5
Step-by-step explanation:
Let's solve your inequality step-by-step.
0≥p−5
Step 1: Flip the equation.
p−5≤0
Step 2: Add 5 to both sides.
p−5+5≤0+5
p≤5
Answer:
p≤5
The following 96% confidence interval based on a sample of 32 students was formed to estimate the population mean time that students will require to complete a particular examination: 62.4 ± 12.6 minutes. Which one of the following interpretations is correct for this confidence interval?A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutesB) We are 96% confident that the sample mean time (62.4 minutes) equals the true mean timeC) We are 96% confident that the population mean time required by students who take this test is 62.4 minutesD) We are 96% confident that the sample mean time (62.4 minutes) is correctE) We are 4% confident that an individual student taking this test will require less than 49.8 minutes or more than 75.0 minutes
Answer:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Step-by-step explanation:
x% confidence interval is between a ± b.
a is the sample mean.
b is the margin of error.
Interpretation: We are x% sure that the population mean is between a-b and a+b.
In this question:
96% confidence interval for the mean time that students will require to complete a particular examination. Between 62.4 - 12.6 = 49.8 minutes and 62.4 + 12.6 = 75 minutes.
The correct interpretation is that we are 96% sure that the population mean is in this interval.
So the correct answer is:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Answer:
The confidence interval for the true mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The confidence interval for this case i given by:
[tex] 62.4 -12.6 \leq \mu \leq 62.4+12.6[/tex]
[tex] 49.8 \leq \mu \leq 75.0[/tex]
For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Step-by-step explanation:
The confidence interval for the true mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The confidence interval for this case i given by:
[tex] 62.4 -12.6 \leq \mu \leq 62.4+12.6[/tex]
[tex] 49.8 \leq \mu \leq 75.0[/tex]
For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask each of the 120 students how many hours of sleep they got the night before and then calculate an average. Which of the following statements is an accurate description of the elements of this survey?
Answer:
(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
Step-by-step explanation:
The correct answer is (C). The sample is a subset of the population, and the parameter is a characteristic of the population of interest.
What advantages do money market accounts offer a depositor compared to other types of savings accounts? Answer in
complete sentences.
Answer:
Step-by-step explanation:
Money markets accounts offer a annual percentage yield which is higher compared to other types of savings accounts
These accounts also require a higher minimum deposits to get a higher rate
These accounts may also be insured and secured by the Federal Deposit Insurance Corp in banks and the National Credit Union Administration in credit unions.
They are also relatively easy to access.
\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} y=2x+1 x−y=−3 Is (2,5)(2,5)left parenthesis, 2, comma, 5, right parenthesis a solution of the system?
Answer:
Yes
Step-by-step explanation:
Given the system of equations
[tex]\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}[/tex]
We want to determine if (2,5) is a solution of the system.
We can do this by substitution of the given point into the equations and see if it holds.
Given (x,y)=(2,5), x=2, y=5
In the first equation
y=2x+1
5=2(2)+1
5=5
Therefore, the point (2,5) satisfies the first equation.
In the second equation
[tex]x-y=2-5=-3[/tex]
Since our result (-3) is equal to the Right Hand Side, the point also satisfies the second equation.
Therefore, (2,5) is a solution of the system.
the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by the x and lenghth of a side of equilaterel triangle is given x+1 which equation can be used to find the value of x?
Answer:
x = 3
Step-by-step explanation:
We are told that the length of a side of the square is x.
Now, perimeter of square = 4 × side length
Perimeter of square = 4x
Also,we are told that the triangle is equilateral and a side is (x + 1).
Thus, perimeter of triangle = 3(x + 1)
Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;
4x = 3(x + 1)
4x = 3x + 3
Subtract 3x from both sides to get;
4x - 3x = 3
x = 3
Answer:
pretty sure it's C
Step-by-step explanation:
i need help on this question
I think these are the answers:
a) 12 outcomes
b) 1/12
c) 1/6
Write a trinomial with 3x as the GCF of its terms.
Answer:
3x (x² + x + 1)
You could write any trinomial like this
Drew has two cats. One cat weighs 17 pounds, and the other one weighs 12 1/2 pounds. Audrey’s dog weighs 33 pounds. What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Answer: 3.5 pounds
Step-by-step explanation:
17+12.5=29.5
33-29.5=3.5
What is the formula for the area of a triangle?
The formula to find the area of a triangle is :
1/2 base*height
For instance:
base=4 cm
height=5cm
area of traingle=1/2*b*h
=1/2*4*5
=10cm^2
Hope it helps...
Good luck on your assignment
Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0, y0) in the region. (x2 + y2)y' = y2
1. A unique solution exists in the region y ≥ x.
2. A unique solution exists in the entire xy-plane.
3. A unique solution exists in the region y ≤ x.
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
5. A unique solution exists in the region x2 + y2 < 1.
Answer:
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
Step-by-step explanation:
Given:
[tex] (x^2 + y^2)y' = y^2[/tex]
Solving the differential equation, we have:
[tex] \frac{dy}{dx} = \frac{y^2}{x^2 + y^2}[/tex]
Thus, except at (0,0), for all real values of x and y, the function[tex] \frac{y^2}{x^2 + y^2}[/tex] is defined.
The (0,0) values of x&y causes the denominator to be 0, so the function is not defined at this (0,0) condition.
Therefore,
[tex] \frac{d}{dy} \frac{y^2}{x^2 + y^2} = \frac{x^2 + y^2 (2y) - y^2 (2y)}{(x^2 + y^2)^2} [/tex]
[tex] = \frac{2x^2y + 2y^3 - 2y^3}{(x^2 + y^2)^2} [/tex]
[tex] = \frac{2x^2y}{(x^2 + y^2)^2} [/tex].
Apart from the point of origin (0,0), this is continuous.
This means a unique solution exists in the region consisting of all points in the xy-plane except the origin.
MARKING BRAINLIEST!!!!!!!
Answer:
factoring
Step-by-step explanation:
Answer:
Quadratic formula is the best
Choose the correct option :
1: set A = { 1,5,6,7 } and set B = { 0,1,7,15 } . what is the A U B ?
a) A U B = { 0,1,5,6,7,15 }
b) A U B = {0,1,1,5,6,7,15}
c) A U B = { 1,5,6,7,15}
d) A U B = { 1, 7 }
2: which equation shows the identity property of multiplication ?
a) a+a+a+= 3× a
b) ( a + b ) + 4 = a + ( 4 + b )
c) a ( b + c ) = ab + ac
d) a×1 = a
3: which is an example of associative property of addition ?
a) 7+ 0 = 7
b) (3+9) + 8 = 3 + ( 9+ 8)
c) 5 + ( -5 ) = 0
d) 4+ 3 = 3 +4
4: which property of addition is used in the following ?
( 9+8 ) + 5 = 9 + ( 8+ 5 )
a) associative property
b) closure property
c) distributive property
d) commutative property
5: which property is used in the following expression ?
( 2 × 6 ) × 4 = 6 × ( 4 × 2 )
a) distributive property of multiplication
b) commutative property of addition
c) associative property of addition
d) associative property of multiplication
6: which property is used in the following ?
2×( 4+3 ) = 2 x 4 + 2 × 3
a) commutative property
b) distributive property
c) associative property
d) none of the above
7: which is an example of identity property of addition ?
a) (4+6) + 2 = 4 + ( 6 + 2 )
b) 9+ 0 = 9
c) 8× 1 = 8
d) 7+ 4 =4+ 7
8: which of the following does NOT show the commutative property of addition ?
a) ab = ba
b) 3x + 4y = 4y + 3x
c) a+ b =b+ a
d) 8+ x = x + 8
9: which operation will not change the value of any nonzero number ?
a) dividing by zero
b) adding one
c) multiplying by zero
d) multiplying by one
10: which property of addition does 2 + 0= 2 illustrate ?
a) commutative property
b) zero property
c) distributive property
d) identity property
please give me the full answer i will mark brainliest
Answer:
1. a
2. d
3. b
4.a
5 d
6. b
7. b
8.a
9. d
10. a
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = ln 5x, y = 4, y = 6, x = 0; about the y-axis
V =
Answer:
π∫52(ey3)2dy
The work I did to solve this equation:
Step 1
ln(3x)=2
3x=2e
x=2e3
Step 2
ln(3x)=5
3x=5e
x=5e3
Step 3
y=ln(3x)⟺ey=3x⟺ey3=x
Step 4
π∫52(ey3)2dy
Write an equation to represent the following statement. The quotient of 36 and 3 is j. Solve for j (I mark brainiest whoever asks)
Answer:
36 ÷ 3 = j
Step-by-step explanation:
The quotient of 36 and 3 is '36 ÷ 3'.
'Is j' would be '= j'.
Put it together, and you get:
36 ÷ 3 = j
'j = 12'
[tex]\frac{36}{3} = j\\\\\text {Divide the two numbers: }36/3 = 12\\\boxed {12=j}[/tex]
Brainiest Appreciated
What is the value of g(1⁄2) when g(x) = 2x2? What is the input? What is the output?
Answer:
[tex]g(\frac{1}{2}) = 0.5[/tex]
The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]
Step-by-step explanation:
Suppose we have a function g(x) = a. The input is the value of x and the output is the value of g.
In this question:
[tex]g(x) = 2x^{2}[/tex]
We want g(1/2) = g(0.5). So
[tex]g(0.5) = 2*(0.5)^{2} = 2*0.25 = 0.5[/tex]
[tex]g(\frac{1}{2}) = 0.5[/tex]
The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]
What is equivalent to 84 1/4
Answer:
[tex] \frac{337}{4} [/tex]
Step-by-step explanation:
[tex]84 \frac{1}{4} = \frac{84 \times 4 + 1}{4} = \frac{336 + 1}{4} = \frac{337}{4} [/tex]
A population of 100 insects tripled in size every month. Write a function formula to represent the insect population after x months
Answer:
3x+100
Step-by-step explanation: