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lyudmila [28]
3 years ago
8

Yo can someone please help me ​

Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

<h2>Addition Property of Equality</h2>

Step-by-step explanation:

When doing algebra, you need to reverse operations. When you reverse an operation, you use one of the properties. For example, if you add 3x to undo subtracting 3x, you are using the addition property of equality, because the equation still equal.

<h2>I'm always happy to help :)</h2>
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An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
115.376 as hundreds tens and ones
Gennadij [26K]

Answer:

NAH FAM- I GOTCHU

RATATATA-

YA LIFE IS A LIE~

JFAIOSDHFAIOSDHFSJD~

FAISDEJHFIAJDE~

WOOOOOOOOOOOOOOOOOOOOOOOOOOO

Step-by-step explanation:

5 0
3 years ago
When testing the difference between two population means and the population variances are unknown and unequal, the degrees of fr
levacccp [35]

Answer: 34 degrees of freedom should be used to find the p-value of the test .

Step-by-step explanation:

Degrees of Freedom relates to the maximum number of independent values, that have independence to vary in the sample.

Given : When testing the difference between two population means and the population variances are unknown and unequal, the degrees of freedom are calculated as 34.7.

But degree of freedom must be an integer , so we find the greatest integer less than equal to the calculated degree of freedom.

i.e. [df]=[34.7]= 34

Thus , 34 degrees of freedom should be used to find the p-value of the test .

6 0
3 years ago
An angle measures 19.4° more than the measure of its complementary angle. What is the measure of each angle?
8090 [49]

Answer:

37.8+52.2=90

Step-by-step explanation: x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8  (one angle)

And (x + 14.4) = 52.2 (other angle).

7 0
3 years ago
−3(x + 3) = −3(x + 1) − 5
love history [14]
You have to simplify and then get x
5 0
3 years ago
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