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3 years ago

Anna made an error in determining the polynomial equation of smallest degree whose roots are -4,-2, -

Mathematics

1 answer:

nalin [4]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

Ana started the work nicely by multiplying out factors to get:\

$(x+4)(x+2)(2x+1)(x-2)=0$

She multiplied $(x+2)(x-2)$ correctly using difference of two squares to get: $x^2-4$

Unfortunately: She made a mistake in multiplying $(x+4)(2x+1)$ she mistakenly got $x^2+9x+4$ instead of $2x^2+9x+4$ . <em>She left out the coefficient of 2.</em>

Therefore the second step should have been:

$(x^2-4)(2x^2+9x+4)$

The next step will now be:

$2x^4+9x^3+4x^2-8x^4-36x-16=0$

This simplifies to

$2x^4+9x^3-x^4-36x-16=0$

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For a back to school sale the price of a calculator is reduceded from 70% to $59.50. What is the answer

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3 years ago

Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the

Dima020 [189]

Answer:

Step-by-step explanation:

Domain : Set of all possible input values (x-values) on a graph

Codomain : Set of all possible out values for the input values (y-values) on the graph

Range : Actual output values for the input values (x-values) given on the graph.

Therefore, for the given graph,

Domain : (-∞, ∞)

Codomain : (-∞, 2]

Range : (-∞, 2]

From the given graph every input value there is a image or output value.

Therefore, the given function is onto.

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3 years ago

is there a proportional relationship between the area of an enlarged rectangle and the area of the original rectangle

Maru [420]

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3 years ago

Type the correct answer in each box. If necessary, use /for the fraction bars

Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

$P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%$

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

$P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%$

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

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2 years ago

In a study of the accuracy of fast food drive-through orders, one restaurant had orders that were not accurate among orders obs

Evgesh-ka [11]

Answer:Null hypothesis:

Alternative hypothesis:

The p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

Alternative hypothesis:

When we conduct a proportion test we need to use the z statisitc, and the is given by:

(1)

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

Statistical decision

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

So the p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .

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3 years ago