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3 years ago

You are adding two rational numbers with different signs. How can you tell if the sum will be positive negative or zero

1 answer:

8 0

Positive if the positive number is greater than the negative number. negative if the negative number is greater. 0 if the two numbers are opposites of eachother. an example of this would be -5+5

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Sara is 9 years younger than her brother, Michael. The sum of their ages is 47 years. How old is Sara and how old is her brother

kotykmax [81]

Answer:

Michael is 38 and Sara is 29

Step-by-step explanation:

Because it says the sum of their age is 47 you do 47-9=38 so that would be Michael's age and than because Sara is 9 years younger than him and then you would do 38-9=29

7 0

2 years ago

What is the relationship between the segments PQ and P’Q’

cupoosta [38]

Answer:

$\frac{PQ}{P'Q'}=2.5$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

In this problem Triangles OQP and OQ'P' are similar by AA Similarity Postulate

$\frac{PQ}{P'Q'}=\frac{OP}{OP'}$

we have

$OP=12-2=10\ units$

$OP'=6-2=4\ units$

substitute

$\frac{PQ}{P'Q'}=\frac{10}{4}=2.5$

5 0

3 years ago

To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed 4 times. The

zhannawk [14.2K]

Answer:

(0.9464,1.034)

Step-by-step explanation:

First find the mean μ of all values as;

(0.95+1.02+ 1.01+ 0.98 ) /4 =0.99

μ=0.99

Find the standard deviation as;

-For each value subtract the mean and square the results

0.95-0.99 = -0.04 , -0.04² = 0.0016

1.02-0.99= 0.03, 0.03²=0.0009

1.01-0.99= 0.02, 0.02²= 0.0004

0.98-0.99 = -0.01, -0.01²=0.0001

Find mean of squared deviations as;

(0.0016+0.0009+0.0004+0.0001)/4 =0.00075 ----variance

Standard deviation = √0.00075 = 0.0274

δ = 0.0274

n=4

Thus n< 30 , confidence interval for μ = x ± t*δ/√n ---------(i)

Degree of freedom (df) = n-1 =4-1 =3

The t value for 95% confidence with df= 3 is t=3.182

Substituting the values in equation (i)

0.99 ± 3.182 * 0.0274/√4

0.99 ± 3.182 * 0.0274/2

0.99 ± 3.182 * 0.0137

0.99 ± 0.0436

(0.9464,1.034)

8 0

2 years ago

On May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale. On February 27, 2010, another earthquake in Chile mea

AnnZ [28]

Answer:

Step-by-step explanation:

use M = log (StartFraction I Over I Subscript 0 Baseline EndFraction)

6 0

2 years ago

the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.

Ipatiy [6.2K]

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

8 0

3 years ago