There are (4^9)5 ⋅ 4^0 books at the library. What is the total number of books at the library? 4^9 - 4^45 - 4^46

Readme [11.4K]

Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters

8 0

2 years ago

Consider the statistical study below and then

bagirrra123 [75]

Answer:

a) The population is all people who exercise regularly; population parameters are test scores for all, categorized by whether or not each individual was given a suggestion.

b) The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c) Experiment

Step-by-step explanation:

Rewriting for the sake of clarity

<em>98 people who exercise regularly were given cognitive tests. It was discovered that those participants who were given a suggestion, their exercise habits might affect their performance on the test actually did worse on the test.</em>

a. identify the population and the population parameter of interest,

In Statistics, Population is a Set under scrutiny.

The Parameter of a Population is any descriptive measure that helps to draw the Distribution curve. So in this case, it is fair to say that:

The population is all people who exercise regularly; population parameters are test scores for all, categorized by whether or not each individual was given a suggestion.

b. describe the sample and sample statistic for the study,

The sample is any subset within the Population.

The sample statistic might be any to measure in this case, the suggestion and see if there is any correlation between them and the results in what extent, etc. to deeper analyze it.

Then:

The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c. identify the type of study.

The statistical study here is an experiment since the 98 people were undergone to cognitive tests then their results were scrutinized.

6 0

3 years ago

Which expression has a positive quotient?

Dimas [21]

A because two negatives make a positive

4 0

3 years ago

Read 2 more answers

You can use the formula P=A(i/1-(1+i)-n) monthly payment on a loan of A dollars that is paid back in equal monthly payments over

Dafna11 [192]

Answer:

$48.54

Explanation:

We must express the interest rate on a monthly basis.

i = 8 %/yr = 0.6667 %/mo = 0.006 667

A = $4000

n = 120 mo

$P = A(\frac{i}{1-(1+i)^{-n}})$

$P = 4000(\frac{0.006667 }{1-(1+0.006667)^{-120}})$

$P = \frac{26.67}{1-0.006667^{-120}}$

$P = \frac{26.67}{1-0.4505}$

$P = \frac{26.67}{0.5495}$

P = 48.531

The banks round up the numbers, so Seki’s monthly payment is $48.54.

8 0

2 years ago

Maylin goes to her local sporting goods store to buy socks and jogging shorts. Socks cost $10 per pair and jogging shorts cost

PolarNik [594]

Answer:

Maylin should purchase one unit of each socks & jogging shorts.

Step-by-step explanation:

In case of two goods, consumer is at equilibrium when marginal utility per dollar spent on last unit of the goods are equal, ie MU 1 / P1 = MU 2 / P2 (MU are the marginal utilities / marginal benefit of two goods, P are the price of two goods)

Given : MU1 (So) = 20, MU2 (JSh) = 30, P1 (So) = 10, P2 (JSh) = 15

So, equilibrium is at where MU1 (So) / P1 (So) = MU2 (JSh) / P2 (Jsh)

20/10 = 2, & 30/15 = 2. MU's per dollar are equal for both.

So Maylin is in equilibrium, she should purchase one unit of each socks & jogging shorts.

5 0

3 years ago

There are (4^9)5 ⋅ 4^0 books at the library. What is the total number of books at the library? 4^9 - 4^45 - 4^46 - 1