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3 years ago

Write True or False. The transformation is a rotation. O True O False

Mathematics

2 answers:

ZanzabumX [31]3 years ago

7 0

The transformation is a rotation true

Elina [12.6K]3 years ago

7 0

False! Best of luck!

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Which of the following is a prime number? 61 39 27 76

Zolol [24]

61 is the prime number.

39 is divisible by 3 and 13.
27 is divisible by 9 and 3.
76 is divisible by several numbers, including 2.

7 0

3 years ago

Read 2 more answers

Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if

aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

$I=P*r*T$

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

$156=520*r*5$

$156=2600r$

$r=\frac{156}{2600}$

$r=0.06$

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

$0.06*100=6 \text{ percent}$

Therefore, the annual interest rate was 6%.

6 0

4 years ago

What is the next term of the geometric sequence? 2, 10, 50,

Taya2010 [7]

Answer:

Step-by-step explanation:

2*5=10

10*5=50

5 0

3 years ago

Read 2 more answers

Suppose b is any integer. If b mod 12 = 5, then 7b mod 12

Rzqust [24]

The result follows directly from properties of modular arithmetic:

$b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}$

That is,

$b\equiv5\pmod{12}$

means we can write $b=12n+5$ for some integer $n$ . Then

$7b=7(12n+5)=12(7n)+35$

and taken mod 12, the first term goes away, so

$7b\equiv35\pmod{12}$

etc

8 0

3 years ago

Leona has a bag containing letter tiles. Which describes dependent events?

serious [3.7K]

Answer:

a) removing a vowel, not replacing it, and then removing another vowel

Step-by-step explanation:

This question is from the topic Probability. In Probability, a dependent event is one in which the outcome of one event alters or changes the outcome of another event. A classic example of this is seen when sampling without replacement is done. When sampling without replacement is done, the outcome of another event within the same set changes. When sampling with replacement is done, the outcome of the events are independent because every item in the population still has an equal chance of being chosen. However, in the case of sampling without replacement, once an item has been selected from a population, the outcome of every other event after it is altered based on the item that was initially chosen.

Let's assume that the bag has 26 tiles (one for each alphabet from a - z)

Population = 26, consonant = 21, vowel = 5

If a vowel or consonant is removed & is replaced, we have:

Pr (choosing "a") = number of item ÷ population

Pr = 1 ÷ 26 = 1/26

Pr (choosing "y") = 1 ÷ 26 = 1/26

Doing this for over & over again, produces the same probability

However, if an item was selected without replacement, we have:

Pr (choosing "a") = 1 ÷ 26 = 1/26

Without replacement implies that if I choose tile letter "a", tile letter "a" will not be included in subsequent events, hence:

Population = 25

Pr (choosing "u") = 1 ÷ 25 = 1/25

Without replacement, population = 24

Pr (choosing "y") = 1 ÷ 24 = 1/24

So, we see the dependent nature of the events in how that the outcome of the next event is being altered. As such, option a describes a dependent event & is the correct answer

8 0

3 years ago