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3 years ago

Explain how you would use addition to find the product of –2 and 5 using the integer tiles and the number line.

Mathematics

2 answers:

Effectus [21]3 years ago

6 0

Product of -2 and 5 is -2 times 5, or 5 times -2 (5 * -2).
You can think of this as 5 lots of -2.

If each (-) is a negative,
-2 = (-)(-)
5* -2 =
(-)(-) (-)(-) (-)(-)
(-)(-) (-)(-)
= -10

Simora [160]3 years ago

4 0

Answer with explanation:

We have to find the product of →: -2 × 5, using addition.

1. Product of -2×5 using addition →With the Help of Integer tiles

Draw two tiles of same color and same size , which can be either Square or Rectangle ,either in five rows five times by putting addition sign between two rows or after every two tiles or in the same column five times by putting addition sign after every two tiles.

If you add all these tiles , which will be equal to 10 in both the case, and put negative sign before it to obtain the result.

2. Product of -2×5 using addition on the→Number line →Draw a line, mark numbers 0,2,4,6...on right side and,-2,-4,-6,-8,...on the left of number line . We have to find the product of , -2 × 5 or -5 ×2

Multiplication shows commutative property, which is →A × B= B ×A

→Mark circle on 0, and move a distance of 2 units, five times on the left of 0, on the number line to get the desired result.

→→The Second way is to , mark arc on the number 0 , and move distance of 5 units on the left of number line twice, to get the desired result.

Image showing above procedure is shown below.

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In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

Find the Slope for (3,-4) and (5,4)

REY [17]

The picture below shows the formula for calculating slope

In this example:
y2 = 4
y1 = -4
x2 = 5
x1 = 3
(These are the numbers you substitute into the formula)

Calculations:
4 - (-4) = 8
5 - 3 = 2
8/2 = 4

As you can see, after the values are substituted into the equation & simplified, the slope is equal to 4

8 0

2 years ago

Read 2 more answers

50 points and brainliest for the best fastest answer

romanna [79]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Mario volunteers 1 day each month at the animal shelter. For y days he cleans for 5.5 hours each day. On the other days he walks

viva [34]

Part A: The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365

Part B: The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Number of days Mario volunteers each month at the animal shelter = 1

Number of hours Mario cleans for y days = 5.5 hours

Number of hours Mario each day = 5.5/y

Number of minutes Mario uses to walk dogs for y days = 75 minutes

Number of hours Mario uses to walk dogs for y days= 75/60

Number of hours Mario uses to walk dogs for y days= 1.25 hours

Number of hours Mario uses to walk dogs each day= 1.25/y

Total number of hours Mario volunteers in a day = Number of hours Mario cleans each day + Number of hours Mario uses to walk dogs

Total number of hours Mario volunteers in a day = 5.5/y + 1.25/y

Total number of hours Mario volunteers in a day = 6.75/y

Convert the number of hours to minutes

1 hour = 60 minutes

Total number of minutes Mario volunteers in a day = (6.75/y) x 60

Total number of minutes Mario volunteers in a day = (405/y) minutes

Number of days in 1 year = 365

The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365

The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Learn more here: brainly.com/question/11780383

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Find the following F distribution values from Table 4 of Appendix B.

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