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2 years ago

Use properties to find the sum or product 5x23x2

1 answer:

3 0

The properties of multiplication and addition to find the product and sum of these numbers 5 , 23 and 2.
1. Commutative property of multiplication
a. 5 x 23 x 2 = 230 = 23 x 5 x 2

2. Associative property of multiplication 
a. 5 x (23 x 2) = 230 = (23 x 5) x 2

3. Commutative property of addition 
a. 5 + 23 + 2 = 30 = 23 + 5 + 2 

4. Associative property of multiplication 
a. 5 + (23 + 2) = 30 = (23 + 5) + 2

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The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time

Montano1993 [528]

The maximum occurs when the derivative of the function is equal to zero.
$P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3} \\ t=4.76702$
Then evaluate the function for that time to find the maximum population.
$P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201$
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.

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2 years ago

A retail store offers all television sets at 80%, or , of their original price if the customer buys a store membership for $100.

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Let X = be the amount the amount that new customer will have to pay X = 0.8P + 100 Given that the television is $1500, the discounted price is $1200. But the customer will have to pay the membership of $100. Therefore the total amount is $1300.

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2 years ago

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Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squ

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The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.

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2 years ago

Suppose that we want to investigate whether curfews correlate with differences in grades for students in middle school. We selec

Anton [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X: Curfew of middle school students (Categorized Yes/No)

Y: Average grade of middle school students. (Categorized: A, B, C, and D)

The objective is to test if there is an association between both variables, you have to conduct a Chi-Square test of independence.

In the null hypothesis, you state that both variables are independent vs. the alternative hypothesis that the variables are dependent.

The hypotheses for this test are:

H₀: Pij= Pi. * P.j i= (1)Yes, (2)No; j= (1)A, (2)B, (3)C, (4)D

H₁: Te variables are not independent.

α: 0.05

$X^2= sum\frac{(O_{ij}-E_{ij})^2}{E_{ij}} ~~X_{(r-1)*(c-1)}$

Where

Oij is the observed frequency for the i-row and j-column

Eij is the expected frequency for the i-row and j-column

r= number of categories in the rows

c= number of categories in the columns

$X^2_{H_0}= 1.4796703$

p-value: 0.687

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis. So using a 5% significance level, you can conclude that having a curfew and the average grades of middle schoolers are two independent variables.

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2 years ago

Write the value of the underlined digit in 42,980,005

Arlecino [84]

Step-by-step explanation:

1. hundred thousand

2.hundred thousand

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