All categories

2 years ago

Which of the following statements about closure is false?

Mathematics

1 answer:

Dovator [93]2 years ago

7 0

Using the concept of closure, it is found that the false statement is given by:

Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

<h3>What is the closure of a polynomial?</h3>

A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and multiplication operations.

As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.

More can be learned about closure of polynomials at brainly.com/question/9438778

You might be interested in

a sporting complex charges $6 to use its facility. the expression 0.25b+6 models the total cost to hit b baseballs in the bating

Bond [772]

Answer:

tndjxisjebducu

ejdjdnebdix

7 0

3 years ago

⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden

fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = $\frac{354}{1219}$

n = sample of US adults = 1291

p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

significance level are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

<u>95% confidence interval for p</u> = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $\frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ , $\frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ ]

= [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0

3 years ago

Solve: 3/5y + 3 = 11 + 1/5y

ale4655 [162]

Answer:

Y=20

Step-by-step explanation:

y equals 20 because you simplify both sides of the equation then you have an isolated variable

7 0

3 years ago

Read 2 more answers

A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The quadratic function h(t)=−1

aleksklad [387]

The quadratic function h(t) = −16t² + 84t + 72, shows that the person throws the ball from on top of a 72 feet building at a velocity of 84 feet/second.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The quadratic function h(t) = −16t² + 84t + 72, shows that the person throws the ball from on top of a 72 feet building at a velocity of 84 feet/second.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0

2 years ago

I need help on this question!

lord [1]

Answer:

If A = 8, B = 5

If A = 20, B = 3

Step-by-step explanation:

4x²(2x³ + 5x)

8x⁵ + 20x³

If A = 8, B = 5

If A = 20, B = 3

4 0

4 years ago