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Sindrei [870]
3 years ago
13

Select the correct text in the table. Consider the following expression. Select the true statement.

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

<u>Answer:</u>

1. The numerator has three terms.

2. The denominator includes a coefficient of 2.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to determine whether which of the given statements are true for it:

\frac { -10 x ^ 2 + 5x + 3 } { 2x^2 + 4 }

So the true statements for this expression are:

1. The numerator has three terms:

(-10x^2 , 5x and 3 are the three terms in the denominator of this expression)

2. The denominator includes a coefficient of 2:

(the first term of the denominator 2x^{2} has a coefficient of 2)

Rasek [7]3 years ago
4 0

Answer:

a)Numerator has 3 terms

c)Denominator includes a coefficient of 2

Step-by-step explanation:

Given the expression in the question

       -10x² + 15x + 3 / (2x² + 4)

<h3>1) </h3><h3>Numerator has 3 terms</h3>

Numerator is the upper part of fraction which in this case is -10x² + 15x + 3 and a term can be a signed number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by a + sign or - sign.

<h3>2) </h3><h3>Denominator includes a coefficient of 2 </h3>

Denominator is the lower part of fraction which in this case is 2x² + 4 and coefficients are the constants by which the variables are being           multiplied.

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A survey of high school juniors found the 75% of the students plan on attending college. If you pick 3 students at random, what
olya-2409 [2.1K]

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

<h3>Probability</h3>

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

Learn more about probability here:brainly.com/question/24756209

4 0
2 years ago
The sets A,B and C in a universal set consisting of the first 10 lower case letters of the alphabet are: A={a,b,c}, B={b,c,a,e},
Papessa [141]

Answer:

Which item fits in the left side of the table?Criminal versus Civil Cases Criminal cases Civil cases ? . • Accuser is called the plaintiff • Lower burden of proof Defendant may be found liable • Usually heard by a judge only • Accused not guaranteed an attorney

A. No burden of proof

B. Accuser is called the defendant

C. Defendant may be found guilty

D. Usually heard by a jury only

8 0
3 years ago
Suppose an investment of $2,300 doubles in value every decade. The function F(X)= 2300 * 2^X gives the value of the investment a
kotykmax [81]

You hit the right target!

\[\Huge\color{}\checkmark\]

It is 9200

Just to be sure, substitute with x = 2 in the equation.

8 0
3 years ago
A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i
Natasha_Volkova [10]

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

5 0
3 years ago
QUESTION:
Elan Coil [88]

Answer:

b.

Step-by-step explanation:

6 0
3 years ago
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