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Art [367]
3 years ago
6

Which of the following is irrational? 4.63 1 3 −8 11

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
-8 because it falls under zero in the number line and the rest dont
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Find the vertex and zeros of the following function f(x)=x^2-6x-7
elena-s [515]

Try this solution:

Step-by-step explanation:

1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.

2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).

x₀=6/2=3;

y₀= (4ac-b²)/4a; ⇒ y₀= -16.

It means, the coordinates of the vertex are (3;-16).

6 0
3 years ago
3 T-shirts cost $12. How<br> much will 50 T-shirts<br> cost?
LekaFEV [45]

Answer:

$200

Step-by-step explanation:

First, find the unit rate:

12/3= 4

Then multiply:

4*50= 200

Hope this helps!

6 0
3 years ago
Read 2 more answers
Birth certificates show that approximately 9% of all births in the United States are to teen mothers (ages 15 to 19), 24% to you
Ira Lisetskai [31]

Answer:

The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.

Step-by-step explanation:

Denote the events as follows:

<em>T</em> = birth was to a teen mother

<em>Y</em> = birth was to a young-adult mother

<em>A</em> = birth was to an adult mother

<em>U</em> = a birth was unintended

<em>I</em> = a birth was intended.

<u>Given:</u>

P (T) = 0.09

P (Y) = 0.24

P (A) = 0.67

P (I | T) = 0.23

P (U | T) = 0.77

P (I | Y) = 0.50

P (U | Y) = 1 - P (I | Y) = 0.50

P (I | A) = 0.75

P (U | A) = 1 - P (I | A) = 0.75 = 0.25

Consider the tree diagram below.

According to the Bayes' theorem,

P(B|A)=\frac{P(A|B)P(B)}{P(A|B)P(B)+P(A|B^{c})P(B^{c})}

Using the Bayes' theorem compute the probability that a birth was to a teen mother if we know that the pregnancy was unintended as follows:

P(T|U)=\frac{P(U|T)P(T)}{P(U|T)P(T)+P(U|Y)P(Y)+P(U|A)P(A)} \\=\frac{(0.77\times0.09)}{(0.77\times0.09)+(0.50\times0.24)+(0.25\times0.67)} \\=0.19423\\\approx0.1942

The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.

6 0
4 years ago
What is 3.4-5-10.4= ???
Ratling [72]
<span>3.4-5-10.4 = -12

Hope this helps!
</span>
6 0
4 years ago
Read 2 more answers
Isabelle invested $25,000 into an account that earns 3% annual interest compounded quarterly. If she makes no other deposits int
8_murik_8 [283]

Answer: $45451

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 25000

r = 3% = 3/100 = 0.03

n = 4 because it was compounded 4 times in a year.

t = 20 years

Therefore,

A = 25000(1+0.03/4)^4 × 20

A = 25000(1+0.0075)^80

A = 25000(1.0075)^80

A = $45451

3 0
3 years ago
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