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Lostsunrise [7]
3 years ago
11

It takes Ed 45 minutes to complete his science homework it takes him 2/3 as long to complete his math homework how long does it

take to complete his math homework
Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0
2/3 of 45 is 30. So it takes him 30 minutes. Hope it helps!
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Identify tan P as a fraction and as a decimal rounded to the nearest hundredth. HELP PLEASE!!
KonstantinChe [14]
<h3>Answer: Choice C</h3>

================================================

Work Shown:

Reference angle = P

Opposite side = QR = 8.5

Adjacent side = QP = 16

tan(angle) = opposite/adjacent

tan(P) = QR/QP

tan(P) = 8.5/16

tan(P) = 0.53125

tan(P) = 0.53

6 0
3 years ago
The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the frame should list ev
Nataliya [291]

Answer:

Step-by-step explanation:

Hello!

The list of individuals from which a sample is selected is called the sampling frame. Ideally, the frame should list every individual in the population, but in practice, this is often difficult.

A-frame that leaves out part of the population is a common source of under coverage.

Step 1: Suppose that a sample of households in a community is selected at random from the telephone directory.

What households are omitted from this frame?

a. Households that do not answer the phone.

b. Households with unlisted numbers or without telephones.

c. Households that refuse to take part in surveys.d. Households with more than one telephone line.

b and c: If the sampling of households is done by choosing random telephone numbers from the directory, then the ones that are to be omitted are those households without a phone number and those that do not have their number listed in the directory.

Step 2: What types of people do you think are likely to live in these households? These people will probably be underrepresented in the sample.

1.People with extra time on their hands.

2. People without the extra income to keep a phone line will largely comprise the population without a phone line.

3. Very busy people or those interested in maintaining privacy will largely comprise those with unlisted numbers.

4. People who do not like to take surveys are likely to live in these households.

2 and 3: More than underrepresented they will be not represented at all. Since their numbers are not in the directory, they have zero probability of being picked for the sample.

Step 3: It is usual in telephone surveys to use random digit dialing equipment that selects the last four digits of a telephone number at random after being given the exchange (the first three digits). Which of the households underrepresented in the sample will be included in the sampling frame by random digit dialing?

a. all will be included.

b. Those people who do not have phones will be included (in some percentage), while those with unlisted numbers will not be included at all.

c. none will be included.

d. Those with unlisted numbers will be included (in some percentage), while those people who do not have phones will not be included at all

d. Those that don't have a phone number will not be included. If the sampling is done by random digit dialing, then even if their numbers are nor listed in the directory, there is a small probability that the random dialer will choose their numbers.

If the sampling was made manually, using only the phone listed in the directory then, logically, all households without a listed phone number will be excluded.

I hope it helps!

6 0
3 years ago
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same
Varvara68 [4.7K]
Volume of prism = 5 x 5 x 12 = 300 cubic centimeters

Volume of pyramid = 5 x 5 x 6 = 150 cubic centimeters

Volume of space = 300 - 150 = 150 cubic cm
5 0
3 years ago
Read 2 more answers
A point moves along a straight path. The function f ( t ) = log 2 ( t ) determines the distance (in meters) the point has travel
Marina CMI [18]

Answer:

a) 4.392317 mt

b) 9 seconds

c) \large f^{-1}(d)=2^d\;sec.

Step-by-step explanation:

We have

\large f(t)=log_2(t)

where t is given in seconds and t in meters.

<em>a)How far has the point traveled 21 seconds after it started moving?</em>

By replacing t=21 in our equation we get

\large f(21)=log_2(21)=4.392317 \;mt

<em>b)If the point has traveled 3.16993 meters, how many seconds have elapsed since it started moving?</em>

We need to find a t such that f(t) =3.16993.  

This can be accomplished by using the definition of log_2

\large f(t)=3.16993\rightarrow log_2(t)=3.16993\rightarrow t=2^{3.16993}=9\;sec.

<em>c)Write a function f^{-1} that determines the number of seconds that have elapsed since the particle started moving in terms of the distance (in meters) the particle has traveled.</em>

f^{-1} is given by the definition of log

\large f^{-1}(d)=2^d\;sec.

5 0
3 years ago
A rectangle is 2m long. It’s diagonal is 3m long. Work out the width of the rectangle, to the nearest cm
Marizza181 [45]

Answer:

To the nearest cm

Width of the rectangle = 224cm

Step-by-step explanation:

Imagine a rectangle shape,

both opposite sides are equal, ie both lengths are equal and also applicable to the widths

Length is 2m

It's diagonal is 3m

The diagonal is a line that crosses from one length of a side to the other slantly, ie from one edge to the other, dividing the rectangle into two right angled triangles

The longest line will be the diagonal which is 3m

And the base length will be the length which is 2m

The width is what we are looking for which is represented with x

To solve this problem, we use Pythagoras' rule

x^2 = a^2 + b^2

Let x be diagonal side

a be length

b be the unknown width

Inserting into the formula

x^2 = a^2 + b^2

3^2 = 2^2 + b^2

9 = 4 + b^2

9 - 4 = b^2

5 = b^2

Square root of 5

b = 2.24m

The width = 2.24m

According to the question, we are asked to give the answer in nearest cm

Since 1cm = 0.01m

x cm = 2.24m

Then we cross multiply

1cm * 2.24m = xcm * 0.01m

x = 2.24 / 0.01

x = 224cm

5 0
3 years ago
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