Proportion form of the given problem is (52/120)=(39/90). They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.
When does two ratios form a proportion?Two ratios form a proportion if simplified form of both the ratios comes out as same ratio.
Using above method to find out whether the given ratios are forming proportion or not.
The question asks for an proportion.
So, 2 minutes = 120 seconds and set up the proportion
where it will be in the form of (words/seconds).
It is given that 52 words in 2minutes and 39 words in 90 seconds
Now, the proportion form will be;
(52/120) = (39/90).
They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.
Learn more about directly inversely proportional relationship variable here:
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What is the slope of the line that passes through (a,b) and (1/a,b)?
Answer:
slope = 0
Step-by-step explanation:
Since the y- coordinates of both points are equal, both b
This indicates the line is horizontal and parallel to the x- axis
The slope of the x- axis is zero then the slope of the line is zero
Answer:
slope of the line is 0
Step-by-step explanation:
(a , b)=(x1 , y1)
(1/a , b)=(x2 , y2)
slope=y2 -y1/x2 -x1
=b-b/ 1/a -a
=0/1-[tex]a^{2}[/tex]/a
=0*a/1-[tex]a^{2}[/tex]
=0/1-[tex]a^{2}[/tex]
=0
The average height of BYU freshman from a random sample of 450 freshman at BYU is 68 inches with a standard deviation of 1.5 inches. What is the 98% confidence interval for the average height of BYU freshman?
a. (59.86, 60.14)
b. (67.83, 68.17)
c. (66.5. 69.5)
d. (67.86, 68.14)
Answer:
b. (67.83, 68.17)
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{1.5}{\sqrt{450}} = 0.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 68 - 0.17 = 67.83.
The upper end of the interval is the sample mean added to M. So it is 68 + 0.17 = 68.17.
This means that the correct answer is given by option B.
Now suppose that bigger cups are ordered and the machine’s mean amount dispensed is set at μ=12. Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?
Answer:
σ should be adjusted at 0.5.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.
Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?
13 should be 2 standard deviations above the mean of 12, and 11 should be two standard deviations below the mean.
So 1 should be worth two standard deviations. Then
[tex]2\sigma = 1[/tex]
[tex]\sigma = \frac{1}{2}[/tex]
[tex]\sigma = 0.5[/tex]
σ should be adjusted at 0.5.
5+ [14 + 5 - {6 (5 + 1 - 4)}]
simplify
Answer:
12
Step-by-step explanation:
1) 5+19−6(5+1−4)
2)5+19−6(6−4)
3)5+19−(6)(2)
4)5+19−12
5) 5+7
6) 12
Determine where the function is increasing, decreasing, and constant.
Answer:
X y better because it has X and Y is no no
Plot A of Astan Apple Orchard's produced an average of 246.343 bushels of apples over the last 5 years. The average number of bad bushels in the same period was 20.12. The approximate percentage of bad bushels was
Answer:
The approximate percentage of bad bushels was 8.17%.
Step-by-step explanation:
The percentage of bad bushels is given by the average number of bad bushels multiplied by 100 and divided by the average of bushels.
We have that:
Average number of bushels: 246.343
Average number of bad bushels: 20.12
The approximate percentage of bad bushels was
20.12*100%/246.343 = 8.17%
The approximate percentage of bad bushels was 8.17%.
What is the total surface area of a cylinder with a radius of 9ft and a height of 13ft?
Answer:
753.6 ft^2
Step-by-step explanation:
given:
radius=9 ft
height=13 ft
total surface area of cylinder=2πrh+2πr2
=2*3.14*9*13 + 2*3.14*(9)^2
=244.92 + 2*3.14*81
=244.92 + 508.68
=753.6 ft^2
Answer:
753.6 ft|2
Step-by-step explanation:
thanks correct me if you want.
Please help me I am stressed out
Answer:
a) 0.3 liters
b) 3 ÷ 10 = 0.3 liters
Step-by-step explanation:
3 ÷ 10
3 × 1/10
0.3
Please help me please please I really need help please please
A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.
Please help!! What is x?
Answer:
12
Step-by-step explanation:
1) to calculate the length of RT (in ΔRST):
SR/sin60°=12√3 / (√3/2)=12.
2) in ΔQRT RT=RQ=x (the m∠T=m∠Q !), then x=12.
2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon
Answer:
hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes
How do i do this math equasion?
Answer:
f(t) = -16t² + 36
Step-by-step explanation:
f(t) = a(t - h)² + k
This is vertex form where (h, k) is the (x, y) coordinate of the vertex
The vertex is give as (0, 36)
f(t) = a(t - 0)^2 + 36
f(t) =at² + 36
use point (1, 20) to find "a"
20 = a(1²) + 36
20 = a + 36
-16 = a
f(t) = -16t² + 36
What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer
Answer:
Step-by-step explanation:
To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!
answer is in photo above
Explain the rule that governs the pronunciation of the word stick
Answer:
Es una triste noticia que se involucre a las lenguas en peleas políticas coyunturales, sobre todo cuando el debate deriva hacia una estrategia de crispación que exige el falseamiento de la realidad, las ofensas y las manipulaciones. Las lenguas maternas forman parte de la identidad, de la raíz más profunda de sus hablantes, y ofenderlas o someterlas a coyunturas crea heridas íntimas. Confieso que siento una inmediata antipatía ante cualquier persona, política o no, que desprecia la manera que tenemos los andaluces de pronunciar el español. Es la manera en la que yo aprendí a relacionarme con la vida.
Step-by-step explanation:
You decide to work out your weekly pay by using the following formula:
p = 5hr
p is weekly pay
h is hours worked
r is rate of pay per hour
This week you worked 8 hours a day, for 5 days, at an hourly rate $6.88.
How much did you earn? $
Answer:
p = 5(8)(6.88)
p = $275.20
Which of the following statements is true?
A: The product of two rational numbers is irrational.
B: The sum of two rational numbers is rational.
C: The product of a non-zero rational number and an irrational number is rational.
D: The sum of a rational number and an irrational number is rational.
The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the
triangle.
Answer:
Step-by-step explanation:
Let x be the height ..... then the base = 2x + 2
So we have
Area = (1/2) (base) (height)
20 = (1/2)(2x + 2)(x) simplify
20 = x (x + 1)
20 = x^2 + x subtract 20 from both sides
x^2 + x - 20 = 0 factor
(x + 5) ( x - 4) = 0
Only the second factor makes sense
x - 4 = 0 add 4 to both sides
x = 4 ft and this is the height
And the base = 2(4) + 2 = 10 ft
Four times the sum of 5 and some number is 4. What is the number
Answer:
n = -4
Step-by-step explanation:
1. the sum of 5 and some number translates to 5 + x.
2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).
3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4
4. Now you can solve the equation. When solved, the answer is n = -4
pls tell ineed now fast plss
Answer:
g = 12
Step-by-step explanation:
g + 7 - 4 = 15
g = 15 - 3 = 12
Based on the information below, which statement provides a logical
conclusion?
On Monday, Suzanne got up at 6:00 a.m. and was on time for first period.
On Wednesday, Suzanne got up at 6:15 a.m. and was late to first period.
Answer:
It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be
1:prove that the tangent at the point (1,-2) to the circle x²+y²=5 also touches the circle x²+y²-8x+6y+20=0 .Also find the point of contact.
2:find the length of tangent to the circle
3x²+3y²-7x-6y=12 drawn from (6,-7)
Circle 1 has center at (0, 0)
The tangent passes through the center and point (1, -2).
Equation of tangent at (1, -2):
x*1 + y*(-2) = 5x - 2y = 5x = 2y + 5If the same line is tangent to circle 2 then they have one common point.
Solve the system:
x = 2y + 5x² + y² - 8x + 6y + 20 = 0Substitute x:
(2y + 5)² + y² - 8(2y + 5) + 6y + 20 = 04y² + 20y + 25 - 16y - 40 + 6y + 20 = 05y² + 10y + 5 = 0y² + 2y + 1 = 0(y + 1)² = 0y + 1 = 0y = -1 ⇒ x = 2(-1) + 5 = -2 + 5 = 3We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.
#2Given circle:
3x² + 3y² - 7x - 6y = 12 and external point (6, -7).Rewrite the equation of the circle as:
3x² + 3y² - 7x - 6y = 12x² + y² - 7/3x - 2y = 4x² - 2*7/6x + 49/36 + y² - 2y + 1 = 4 + 49/36 + 1(x - 7/6)² + (y - 1)² = 229/36The center is (7/6, 1) the radius is √229/36
The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:
t² = d² - r²t² = (6 - 7/6)² + (-7 - 1)² - 229/36t² = 36 - 14 + 49/36 + 64 - 229/36t² = 86 - 180/36t² = 81t = 9Cyril walks 1500 feet from his house to school. What is the distance covered by Cyril in inches?
A. 18,000 in.
B. 18,500 in.
C. 18,600 in.
D. 19,000 in.
Answer:
A. 18,000in
Step-by-step explanation:
1,500 ×12=18,000
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving distance. b. What is the probability the driving distance for one of these golfers is less than 290 yards
Answer:
a) [tex]f(x) = \frac{1}{25.9}[/tex]
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b-a}[/tex]
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that [tex]a = 284.7, b = 310.6[/tex].
a. Give a mathematical expression for the probability density function of driving distance.
[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]
b. What is the probability the driving distance for one of these golfers is less than 290 yards?
[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]
0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
10
El tiempo aproximado en caminar de tu casa (C) a la de tu amigo (A) pasando por la tienda (T)
es de 14 minutos; Si caminas a la misma velocidad, ¿Cuántos minutos te tomará caminar
directamente a la casa (C) de tu amigo (A)? Redondea al entero más cercano.
500yd
A
700yd
Respuesta:
10.0 minutos
Explicación paso a paso:
Distancia total recorrida caminando de C a A pasando por T:
500 yardas + 700 yardas = 1200 yardas
Tiempo necesario para recorrer 200 yardas = 14 minutos
Caminando directamente de C a A:
La distancia se puede obtener usando una relación trigonométrica:
Hipotenusa = √ (opuesto² + adyacente²)
Hipotenusa = √500² + 700²
Hipoteno = 860.23252 yardas
Por eso ; Si
1200 yardas = 14 minutos
860.23252 yardas = x
Multiplicar en cruz:
1200x = 12043,255
x = 12043,255 / 1200
x = 10.036 minutos
El tiempo necesario para caminar directamente será: 10.0 minutos
Which of the question below could be the equation of this parabola ?
A) x=-4x^2
B) y=4x^2
C) x=4y^2
D) y=-4x^2
Given that P(x) = 2W/W+1 + W-4/2W-3 , evaluate p(0)
Answer:
5
Step-by-step explanation:
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The following tables each show the amount of money, in dollars, in four different bank accounts over time.
Which table best represents an exponential relationship?
A.
Years 1 2 3 4 5
Account Balance 1100.00 1350.00 1600.00 1850.00 2100.00
B.
Years 1 2 3 4 5
Account Balance 1100.00 1210.25 1320.50 1430.75 1541.00
C.
Years 1 2 3 4 5
Account Balance 1100.00 1190.00 1340.00 1550.00 1820.00
D.
Years 1 2 3 4 5
Account Balance 1100.00 1210.00 1331.00 1464.10 1610.51
Answer:
C
Step-by-step explanation:
it is not my percentage, it is not constant, it is increasing over time
NEED HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A.) y = 0.4x^(2) + 3.4x + 4
Step-by-step explanation:
x = -5
y = -3
Complete the solution of the equation. Find the
value of y when x equals 17.
-x + y = -27
Answer:
y= -10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
-17+y=-27
y=-27+17
y=-10
If f(x) = 2x² - 4x and g(x) = 5 - 2x, evaluate fx) - g(x) for x = 5.
A 15
B 5
C 35
D. 20
ET
Answer:
35
Step-by-step explanation:
2x² - 4x- (5 - 2x)
2x² - 4x - 5 + 2x
2x²-2x - 5 = f(x) - g(x)
Now use 5
[tex]2 ({5}^{2} ) - 2(5) - 5 \\ = 35[/tex]