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miskamm [114]
3 years ago
7

Alexandra is two years older than brad. cecilia is three years younger than alexandra. all three ages added together gives a tot

al of 37 years. how old is each student?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Let us say that:

x = age of brad

x + 2 = age of Alexandra

(x + 2) – 3 = age of Cecilia = x – 1

 

We are also given that:

x + x + 2 + x – 1 = 37

<span>
solving for x:</span>

3x + 1 = 37

3x = 36

x = 12 = age of brad

x + 2 = 14 = age of Alexandra

<span>x – 1 = 11 = age of cecilia</span>

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KATRIN_1 [288]
If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
3 0
3 years ago
A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have mea
Burka [1]

Answer:

x = 14.

Step-by-step explanation:

The other 2 opposite angle are both equal to 70 degrees.

So 5x = 70

x = 70/5

= 14 degrees.

6 0
3 years ago
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reply to this with answer Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Ivan

Answer:

Given expressions are equivalent.

Step-by-step explanation:

Given expression:

4 (x + 3) + 2x and 6 (x + 2)

Find:

Given equivalent expressions or not

Computation:

By taking LHS

4 (x + 3) + 2x

4x + 12 + 2x

6x + 12

By taking RHS

6 (x + 2)

6x + 12

We say that

LHS = RHS

So,

Given expressions are equivalent.

3 0
3 years ago
Does this set of ordered pairs represent a function? {(–2, 3), (–1, 3), (0, 2), (1, 4), (5, 5)} A. The relation is a function. E
Aleks04 [339]

The correct option regarding whether the relation is a function is:

B. The relation is a function. Each input value is paired with one output value.

<h3>When does a relation represent a function?</h3>

A relation represent a function if <u>each value of the input is paired with one value of the output</u>.

In this problem, when the input - output mappings are given by:

{(–2, 3), (–1, 3), (0, 2), (1, 4), (5, 5)}.

Which means that yes, each input value is paired with one output value, hence the relation is a function and option B is correct.

A similar problem, in which we verify if a relation is a function, is given at brainly.com/question/12463448

#SPJ1

7 0
2 years ago
The national vaccine information center estimates that 90% of americans have had chickenpox by the time they reach adulthood.50
timama [110]
Given:
 p = 90% = 0.9, the probability that an adult has had chickenpox by age 50.
Therefore,
q = 1 - p = 0.1, the probability that an adult has not had chickenpox by age 50.

Part (a)
Because there are only two answers: "Yes" or "No" to whether an adult has had chickenpox by age 50, the use of the binomial distribution is justified.

Part (b):
Calculate the probability that exactly 97 out of 100 sampled adults have had chickenpox.
The probability is
P₁ = ₁₀₀C₉₇ (0.9)⁹⁷ (0.1)³ = 0.0059

Answer: 0.006 or 0.6%

Part (c)
Calculate the probability that exactly 3 adults have not had chickenpox.
Theis probability is equal to 
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Answer: 0.994 or 99.4%

Part (d)
Calculate the probability that at least 1 out of 10 randomly selected adults have had chickenpox.
The probability is
P₃ = ₁₀C₀ (0.9)⁰ (0.1)¹⁰ + ₁₀C₁ (0.9)¹ (0.1)⁹ = 10⁻¹⁰ + 10⁻⁹ = 10⁻⁹ ≈ 0

Answer: 0

Part (e)
Calculate the probability that at most 3 out of 10 randomly selected adults have not had chickenpox.
The probability is
P₄ = 1 - [₁₀C₀ (0.9)⁰(0.1)¹⁰ + ₁₀C₁ (0.9)¹(0.1)⁹ + ₁₀C₂ (0.9)²(0.1)⁸ + ₁₀C₃ (0.9)³(0.1)⁷]
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     = 1

Answer:  1.0 or 100%

5 0
3 years ago
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