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2 years ago

Is h(x)=23 a linear function or no? Explain.

Mathematics

2 answers:

Papessa [141]2 years ago

7 0

Yes, it is a horizontal line at y =23. No matter what value x is, the result is always 23

svet-max [94.6K]2 years ago

4 0

Ofcourse it is a linear function
why because every of x value of this function is 23 in result always

... so when we draw a chart it will be line on 23 coordinate ;)

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Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, th

LuckyWell [14K]

Answer:

Step-by-step explanation:

Given that Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that each of their offspring will develop the disease is approximately 0.25.

Let X be the no of children having this disease out of 4 occasions

Then X has two outcomes and each trial is independent of the other trial

Hence X is binomial with n =4, and p = 0.25

a) $P(X=4) = 4C4 (0.25)^4 = 0.003906$

b) $P(X=1) = 4C1 (0.25)(0.75)^3\\= 0.4219$

c) $P(4th child/3 children did not) = 0.25$ since independent.

4 0

2 years ago

Ella Buys a book and a pen for $14. The cost of the book is two dollars more than twice the cost of the pen. Write a system of l

Vilka [71]

Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

Then we know:

The book and the pen cost $14:

B + P = $14 } Equation 1

We also know:

The cost of the book is two dollars more than twice the cost of the pen.

B = 2P + $2 } Equation 2

Now we can substitute the value of B from the equation 2 in the equation 1:

2P + $2 + P = $14

3P = $14 - $2 = $12

P = $12/3 = $4 , cost of the pen

Since we know the value of B from the equation 2, we can calculate B:

B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book

Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

<h2><em>Spymore</em></h2>

5 0

3 years ago

Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...

nalin [4]

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

$\sum_{n=0}^{\infty}5(-3)^n$