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3 years ago

The sum of 86, 68, and 38 is 192. What do you also know about the sum of 68, 38, and 86? Explain

Mathematics

2 answers:

weqwewe [10]3 years ago

8 0

The sum of the numbers is the same, as they are the same numbers, just in a different order.

So the sum is 192.

trasher [3.6K]3 years ago

4 0

It's the same because it's used the commutative property where:

a+b = b+a

So, 86+68+38=192 it's the same sum as 68+38+86=192

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Aleksandr-060686 [28]

A cube has 4 "space" diagonals or diagonals within the cube's interior.

On its surface, a cube has 12 "face" diagonals, 2 per each of its six congruent square faces.

So the total number of diagonals is 4 + 12 = 16

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3 years ago

Find the area of each triangle. Round your answers to the nearest tenth

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Answer:

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4 years ago

Simplify the expression. (X^3)^-5

Svet_ta [14]

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➷ When exponents are separated with parenthesis, multiply them together:

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3 years ago

There is a shop selling new compact disks and used compact disks. John bought 3 new compact disks and 8 used compact disks for $

frozen [14]

The price of a used compact disk is $9.99.

Well, this is a system of 2 equations and 2 unknowns.

Let n = the price of new compact disks and let

u = the price of used compact disks.

Then the first equation would be 6n + 2u = 127.92.

The second equation would be

3n+8u = 133.89.

So our system is,

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6n + 2u = 127.92

3n+8u = 133.89

Since I don't like working with decimals I would multiply both equations by 100 that way it would get rid of the decimal.

Doing so results in the following system

600n+200u = 12792

300n+800u = 13389

Now we want to know how much one used disk sells for.

To do that we multiply the bottom equation by -2 and add it to the top equation.

-2(300n+800u = 13389)

=> -300n-1600u = -26778

Now we add that to the top equation

600n+200u = 12792

+(-300n-1600u = -26778)

----------------------------

-1400u = -13987

Now we solve for u by dividing both sides by -1400 and we see that

u = 9.99.

So the price of a used compact disk is $9.99.

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2 years ago

Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0 fo

Usimov [2.4K]

Answer:

Reject H0 as the critical region for alpha = 0.07 is z ≤ -1.82 and z≥ 1.82

Step-by-step explanation:

For the significance level ∝ = 0.07

For a two tailed test we divide it with 2 and get 0.035

When we subtract 0.035 from 1 we get 0.965

And when we look at the z- table and corresponding to 0.965 we find the value of z to be 1.82

Now the calculated value of z= -1.94 which is less than ±1.82.

Hence reject H0 if z ≤ -1.82 and z≥ 1.82

Therefore reject H0.

While ∝ =0.07

p- value = 0.06 should be examined

the p- value is the smallest value of ∝ where we reject H0.

Hence at ∝= 0.06 critical region is z ≤ -1.88 and z≥ 1.88

At ∝= 0.05 critical region is z ≤ -1.96 and z≥ 1.96

So p- value is near 0.06

8 0

3 years ago