is -4 greater than or less than -1?

Answer:

[tex]S_{15} = 299593[/tex]

Step-by-step explanation:

Given

[tex]262144,\ 32768,\ 4096,\ 512; ...[/tex]

Required

Determine the 15th partial sum

The nth partial sum of a geometric series is:

[tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]

In this case:

[tex]a = 262144[/tex]

[tex]n = 15[/tex]

r is calculated as:

[tex]r = \frac{32768}{262144}[/tex]

[tex]r = 0.125[/tex]

Substitute values for a, r and n in [tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]

[tex]S_{15} = 262144* \frac{1 - 0.125^{15}}{1 - 0.125}[/tex]

[tex]S_{15} = 262144* \frac{1}{0.875}[/tex]

[tex]S_{15} = \frac{262144* 1}{0.875}[/tex]

[tex]S_{15} = \frac{262144}{0.875}[/tex]

[tex]S_{15} = 299593.142857[/tex]

[tex]S_{15} = 299593[/tex] -- approximated

Answer:

2 11/60

Step-by-step explanation:

15/60 -4/60=11/60

2+11/60=2 11/60

Answer:

The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. 72000.

Answer:

Answer:

Part A:  99% CI is given by : (0.38998, 0.44236)

Part B:

The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.

Part C:

There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02

Step-by-step explanation:

Part A:

The test statistic p^ ±z sqrt (p`q`/n) will be used because

It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.

Here

p= proportion of vaccine- eligible  people who received flu vaccine

Sample size= n= 2350

Sample success= p^=978/2350= 0.4161

Sample failure= q^= 1-p`= 1- 0.4161= 0.5838

For 99% CI the z- value is 2.576

Using the test static

p^ ±z sqrt (p^q^/n)

0.4161± 2.576 sqrt( 0.4161*0.5838/2350)

0.4161± 2.576 * 0.010167

0.4161± 0.02619

(0.38998, 0.44236)

Part B:

The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.

Part C:

z* sqrt ( p^q^/n) ≤ 0.02

sqrt ( p^q^/n) ≤ 0.02/z

Taking square of both sides

( p^q^/n) ≤ [0.02/z]²

Reciprocating both sides

n/p^q^ ≥[ z/ 0.02]²

n≥[ z/ 0.02]²p^q^

n≥  z²p^q^/[  0.02]²

Putting the values

n ≥(2.576)² (0.5)(0.5)/ 0.2²

n≥ [2.576 /2 (0.02) ]²

n≥4,147.36

There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02

Answer:

it's just 8/20 so shade 8/20 of the circle

Answer:

The first 4

Step-by-step explanation:

any that are whole numbers

Answer:

1000÷11=90.9

So,29th September

Answer:

14

20+8=28/2

your welcome

Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Two points are (5,40) and (0,10). So, the equation of trend line is

[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]

[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]

[tex]y-40=6(x-5)[/tex]

[tex]y-40=6x-30[/tex]

Adding 40 on both sides, we get

[tex]y=6x-30+40[/tex]

[tex]y=6x+10[/tex]

Therefore, the equation of trend line is [tex]y=6x+10[/tex].

Answer:

yes

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

there are 4 columns and 1 drama so it equals 1/4

Answer:

D

Step-by-step explanation:

5 ÷ 8 = 0.625 = 62.5%

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

Step-by-step explanation:

W = Set of projects the guitarist wrote

P = Set of products he produced

A bass guitarist worked on 15 music projects last year.

Universal set = 15

He wrote and produced 5 projects.

W ∩ P = 5

He wrote a total of 9 projects.

W = 9

The Venn Diagram is given in the attached image.

a. How many projects he wrote but did not produce (W - P)?

W - P = W - W ∩ P

W - P =  9 - 5 = 4

He wrote 4 projects but did not produce them.

b. How many projects he produced but did not write (P - W)?

Universal set = (W - P) + (P - W) + W ∩ P

15 = 4 + (P - W) + 5

(P - W) = 15 - 9 = 6

He produced 6 projects but did not write them

Answer:

$234

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 2600 × 0.03 × 3 = 234

I = $ 234.00

The simple interest accumulated

on a principal of $ 2,600.00

at a rate of 3% per year

for 3 years is $ 234.00.

Answer:

$234

Step-by-step explanation:

Answer:

The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.

Hope this helps!! ;)

volume of the prism is three times the volume of the pyramid with the same dimensions.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Volume of a triangular prism = area of base triangle × length of the prism

The volume of a triangular pyramid = (1/3) × Base Area × Height

The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.

Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

Step-by-step explanation:

11x² + 33x + 22

= 11(x² + 3x + 2)

= 11(x + 1)(x + 2).

Answer:

15

Step-by-step explanation:

The amount of zeros of a function depends on the highest degree of such function.

Since the highest degree of the given polynomial is 15, hence the function will have 15 zeros

Answer:

[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]

Step-by-step explanation:

When given the central angle in degrees, the formula for sector area is:

[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]

where θ is the central angle and r is the radius.

We are given the diameter, so we must calculate the radius. The radius is half the diameter.

The diameter is 18 meters.

Now we know all the variables:

Substitute the values into the formula.

[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]

Solve the exponent first.

[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]

Solve the fraction.

[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]

Multiply the two rational numbers.

[tex]A=\frac{243}{8} \pi \ m^2[/tex]

The answer can be left like this, in terms of pi, or can be multiplied.

[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]

[tex]A= 95.3775 \ m^2[/tex]

[tex]A= 95.42587685 \ m^2[/tex]

The area is 243/8 π, 95.3775, or 95.42587685 square meters.

Answer:

5/6, 7

Step-by-step explanation:

Answer:

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches  (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48  = 292.48 in^2

Answer:

Dependent

Step-by-step explanation:

because which ever coloured card you draw at first changes the probability of the second draw

Answer:

dependent

Step-by-step explanation:

the first card drawn

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

Answer:

(a) <1 & <6    (b) <5 & <6  (c) 7 & <3

Step-by-step explanation:

Vertical angles are angle that make an X

Linear pair angles are next to each other

Supplementary angles are angles that form a straight line

Answer:

a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5

b) 5 and 6

c) 1 and 5

Step-by-step explanation:

Answer:

Vertex: (8,6) Focus (7,6)

Step-by-step explanation:

32/4=8

Half of 12=6

Answer:

c

Step-by-step explanation:

translations assignment

Answer:

Hurricanes, Sinkholes, Humans Impact, and Glaciers are contributory agents to the issues of coastal erosion.

Explanation

1) Hurricanes:

Sea levels can be rapidly elevated during a storm surge caused by hurricanes and extratropical storms. These spike in sea levels are directly related to severe erosion of shorelines which is estimated to cost about 3-5 billion US dollars annually.

2) Sinkholes:

in 2013, about 328 feet of the beach collapsed in Candelaria, Zambales over a  weekend creating an unsafe environment for residents and tourists. Their scientists suspected that it was due to a sinkhole. The collapse had deepened the shoreline by at least 1 meter.

3) Human Impact:

Sand mining from riverbeds and beaches, erection and construction of structures in coastal areas (like seawalls, jetties, breakwaters, etc), land reclamation along coastal fronts are all causes of coastal erosion.

In 2018, India reported massive erosion to its coastline. At that time, she had lost a whopping 33% of her shoreline over a space of 26 years. This is an average of 1.3% annually. Much of this loss was attributed to the increasing number of construction activities in such areas, damming of rivers (which prevented the rivers from carrying sediments to its coast which creates a balance), sand mining, and destruction of mangroves, etc.

4) Glaciers:

A Glacier is a moving body or river of ice that moves relatively slowly. It is formed by the gradual accumulation of compacted snow on mountains or near the poles. Glaciers have been known to move as fast as 30 meters per day. They can also be as slow as 0.5 meters per year. On average, you probably will record 25 centimeters of daily movement.

Combined with its gradual motion, the weight of a glacier could dramatically transform the terrain over a period spanning hundreds or even thousands of years. The weight of a glacier is very crushing. It is estimated at about 2 thousand tonnes.

As this huge weathering machine moves over land surfaces, expanding and contracting with weather fluctuations, the rocks underneath are disintegrated systematically into soil and shipped far from their points of origin.

The ice erodes the land surface and carries the broken rocks and soil debris far from their original places, resulting in some interesting glacial landforms.

Moving glaciers rip out of basins and create mountain valleys with sloping cliffs. Interesting historical examples of what Glaciers can do can be found in Scandinavia where it created fjords and deep inlets along its coast. It is also interesting to note that the shape of Cape Cod which looks like a  fishhook was carved by the snout of a glacier.

Cheers

Answer:

sinkholes and coastal erosion EDGE2021

Step-by-step explanation:

Answer:

(0, 3)

Step-by-step explanation:

(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)

Answer:

2/3

Step-by-step explanation:

2/3

divide by 8