Answer:
D
Step-by-step explanation:
Ed2021
The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Which geometric series converges is determined from the options below
a. 1/6+1/6+1/6+1/6 b. 1/6+2/6+4/6+8/6 c. 6+12+24+48 d. 6+2+6/9+6/27.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.
Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
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Practice:
Complete the table:
a. 1
b. -1
c. 2
d. 0
Please select the best answer from choices provided
Answer:
D. 0
Step-by-step explanation:
I calculated logically
(3)
8.
The normal price of a denim shirt at a shop is £9.60
On Special Offer Day, there is 1/3 off the normal price.
Billy has £13
Has he enough money to buy two denim shirts on
Special Offer Day? You must show all your working.
Special Offer Day
1
off normal prices
Answer:
Yes, Billy will have enough money to buy two denim shirts.
Step-by-step explanation:
£9.60 × (1/3)
= £3.20
On the special offer day, a denim shirt will cost £3.20.
£3.20×2 = £6.40
Two shirts will cost £6.40
Billy has £13, which will be enough for him to buy two shirts and will have a remaining balance of £6.60
After 6 months what would be the simple interest earned on an investment of $5,000 be at 6%.
Answer:
$150
Step-by-step explanation:
I = prt
I = 5000(.06)(.5)
I = 150
Find the value of x and the value of y
Answer:
look at the picture i have sent
PLS HWLP ME, I REALLY NEED IT
Answer:
E. 3×3×3×3
part b:
3×3×3×3
9×9
81
Select all numbers that are solutions to the inequality k > 5 a 4
b 5
c 6
d 5.01
e 5.2
f 0.5
Answer: C D E
Step-by-step explanation:
De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2).
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answer:
speak english plz
Step-by-step explanation:
ames has 268 cookies to put into bags. Each bag holds 8 cookies.
If James uses as many of the cookies as possible, how many bags can he make, and how many cookies are left over?
Enter your answers in the boxes.
Step-by-step explanation:
Total amount of cookies= 268
One bag can hold 8 cookies
268 / 8 = 33 (remainder 4)
He can make as many as 33 bags, and there are 4 cookies left over.
Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total cost
Answer:
The total cost was $182.91.
Step-by-step explanation:
Tax formula:
tax=tax percentage×amount
Tip formula:
tip=tip percentage×amount
solve
First find the tax. Write 14% as the decimal 0.14 before using it in the equation.
tax
= tax percentage×amount
= 0.14×136.50
= 19.11
The tax was $19.11.
Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.
tip
= tip percentage×amount
= 0.20×136.50
= 27.3
The tip was $27.30.
Finally, find the total cost.
total cost
= cost + tax+tip
= 136.50+19.11+27.30
= 182.91
Answer:
182.91
Step-by-step explanation:
big help someone clutch up for me.TIMED!!
Answer:
B. 5
Step-by-step explanation:
Given expression;
n(n - x) = 25
From the given expression, x = 0
Substitute the value of x into the given equation and solve for n;
n(n - 0) = 25
this equation reduces to;
n(n) = 25
simplifying further to obtain the value of n;
n² = 25
n = √25
n = 5
Therefore, the correct option is B.
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
Answer:
1/3
Step-by-step explanation:
there are 4 numbers total that are less than 3 and there are 12 sides total
so 4/12 would be the total and 1/3 would be simplified
Find Sin S, sin R, cos S, and cos R
Answer:
18/26
16/26
16/26
18/26
Step-by-step explanation:
Quadrilateral RUST has a vertex at R(4,2).
What are the coordinates of R'after the translation (x, y) + (x - 1, y - 1).
followed by a dilation by a scale factor of 2, centered at the origin?
O A. (6,1)
O B. (7,3)
C. (6,2)
O D. (8,2)
Answer: it is C
Step-by-step explanation:
Translation: (4,2) -> (3,1)
Dilation: (3,1) -> (6,2)
The solution is, the coordinates of point R' are (7, 3) and the correct option is B.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Given:
The coordinate of point R in quadrilateral RUST are (4,2).
R is dilated by a scale factor of 2, centered at the origin, followed by the translation (x, y) + (x - 1, y - 1).
To find:
The coordinates of R' after dilation and translation.
Solution:
If a figure is dilated by a scale factor of 2, centered at the origin, then
(x, y) ⇒ ( 2x, 2y )
We value R(4,2).
R(4,2) ⇒ R_1( 8,4)
The rule of translation is:
(x, y) + (x - 1, y - 1).
Using this rule, we get
R_1( 8,4) ⇒ R' ( 7,3)
Therefore, the coordinates of point R' are (7, 3) and the correct option is B.
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10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
HELP ME ASAP
I NEED YOUR HELP PLS
I NEED AN ANSWER NOW
Answer:
N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees
Step-by-step explanation:
Add all them up then make them equal 180 degrees
9x-9 = 180
Solve
9x=180 +9
9x= 189
9x/9= 189/9
x=21
Then plug in x to find each Angle.
N (x) Degrees
N=21 Degrees
M = 6x - 4
M = 6(21) - 4
M = 126 - 4
M = 122 Degrees
L = 2x - 5
L = 2(21) -5
L = 42 - 5
L = 37 Degrees
Unit 1: Geometry Basics Homework 3: Angle Relationships
Answer:
juicy no no square
Step-by-step explanation:
The value of x = z = 73 degrees and y = 107degrees
3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.
From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:
y = 107° (vertically opposite angle)The sum of z and 107 is supplementary. Hence;
z + 107 = 180z = 180 - 107z = 73degreesAlso, the sum of x and y is also supplementary. This shows that:
x + y = 180x + 107 = 180x = 180 - 107x = 73dgreesFrom the calculations, hence x = z = 73 degrees and y = 107degrees
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y=-9x^2+571x-3884 find x
Answer:
I'm pretty sure it's either 3.1 or 4.1
Step-by-step explanation:
Answer:
x = (571 ± √186217) / 18
x ≈ 7.74840677368558702303.. or 55.69603767075885742140..
x ≈ 7.75 or 55.70
Step-by-step explanation:
y = -9x² + 571x – 3884.
x = (-b ± √b² – 4ac) / 2a
x =
(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →
(-571 ± √(326041 – 4(34956))) / -18) →
(-571 ± √(326041 – 139824)) / -18) →
(-571 ± √(186217)) / -18 →
(571 ± √186217) / 18 →
Question
A bottle of medicine contained 300 mL. Convert this to liters.
Provide your answer below:
L
Answer:
0.3L
Step-by-step explanation:
1000mL = 1L
300mL = 0.3L
Answer for branliest
Answer:
1/3
Step-by-step explanation:
P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3
Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability that the first defect is caused by the seventh componenttested. Find the expected number and variance of the number of components tested before adefective component is found.
Answer:
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Step-by-step explanation:
Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.
First six not defective, each with 0.98 probability.
7th defective, with 0.02 probability. So
[tex]p = (0.98)^6*0.02 = 0.0177[/tex]
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
Find the expected number and variance of the number of components tested before a defective component is found.
Inverse binomial distribution, with [tex]p = 0.02[/tex]
Expected number before 1 defective(n = 1). So
[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]
Variance is:
[tex]V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208[/tex]
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Anyone know how to do this?
Answer:
1) [tex]2^{\frac{5}{3} }[/tex] = [tex]2^{\frac{5}{3} (3) }[/tex] = [tex]2^{5}[/tex]
2) [tex]2^{\frac{5}{3} }[/tex] = [tex]\sqrt[3]{2^{5} }[/tex] = [tex]\sqrt[3]{32 }[/tex]
3) [tex]2^{\frac{5}{3} }[/tex] = 3.17...
1^2 = 1
2^2 = 4
[tex]2^{\frac{5}{3} }[/tex] is between 1 and 2 to the power of 2
The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to just a painted white line on the road. They now want to do a study to see if the bicycle lane upgrades have encouraged more people to utilize the bike lane. Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25. Test the hypothesis at the 0.05 significance level.
Answer:
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Step-by-step explanation:
Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.
At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So
[tex]H_0: \mu = 350[/tex]
At the alternate hypothesis, we test if this mean increased, that is:
[tex]H_1: \mu > 350[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
350 is tested at the null hypothesis:
This means that [tex]\mu = 350[/tex]
After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.
This means that [tex]n = 35, X = 405, s = 25[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]
[tex]t = 13.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.
Using a t-distribution calculator, this probability is of 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Please help me with this
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
The product of two positive integer numbers is 40 and the sum of the same two numbers is 13.
9514 1404 393
Answer:
5 and 8
Step-by-step explanation:
Factor pairs that make 40 are ...
40 = 1×40 = 2×20 = 4×10 = 5×8
The pair that has a sum of 13 is 5 and 8.
Find the surface area of the triangular prism.
Answer: 125.6
Step-by-step explanation:
how do you change a fraction to a unit rate
Answer:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Step-by-step explanation:
Is the point (3, -2) a solution to the following system of equations? How do you know?
y=−3x+7
y=2x−8
Answer:
YES
Step-by-step explanation:
Any straight line can be represented by an equation of the form
Y = mX + b
where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get
Y = -3X + 7
-2 = -3(3) + 7
-2 = -9 + 7
-2 = -2 True
AND,
Y = 2X - 8
-2 = 2(3) - 8
-2 = 6 - 8
-2 = -2 True
So since both are true, yes (3, -2) is the solution.
A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides
measure 14.9 cm and 14.7 cm. She knows that the angle between the two sides is 124°. What is the
area of the surface she plans to cover with the coating?
Answer:
[tex]Area = 90.03cm^2[/tex]
Step-by-step explanation:
Given
[tex]s_1 = 14.9[/tex]
[tex]s_2 = 14.7[/tex]
[tex]\theta = 124[/tex] --- angle in between
Required
The area of the plate
Since [tex]\theta = 124[/tex] is between [tex]s_1[/tex] and [tex]s_2[/tex]
The area is:
[tex]Area = \frac{1}{2} * s_1 * s_2 * \sin(\theta)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * \sin(124.7)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * 0.8221[/tex]
[tex]Area = 90.03cm^2[/tex]
When factoring the difference of two squares, what will the signs in the parenthesis be
Answer:
The signs will be + and -
Step-by-step explanation:
Required
The signs in the parenthesis of difference of two squares
Let the expression be:
[tex](x^2 - a^2)[/tex]
Expand
[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]
Factorize
[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]
Factor out x - a
[tex]x^2 - a^2 = (x +a)(x - a)[/tex]
See that the sign in front of a is + and - in the parentheses