The given identity tells you ...
.. (sum of numbers) * (sum of squares - product) = (sum of cubes)

Substituting the given information, you have
.. (sum of numbers) * (29 -10) = 133
Then you can divide by (29 -10) to get
.. sum of numbers = 133/19 = 7

The sum of the two numbers is 7.

3 0

3 years ago

What are the x and y-intercepts of the line described by this equation? -6x+3y=18.9?

Naddika [18.5K]

The "x" intercept is found when you plug in "0" for "y"
-6x + 3(0) = 18.9
-6x = 18.9 (Divide both sides by -6)
x = - 3.15
(-3.15, 0) is your x-intercept

Now plug in "0" for the x
-6(0) + 3y = 18.9
3y = 18.9 (Divide both sides by 3)
y = 6.3
(0, 6.3) is your y - intercept

5 0

4 years ago

The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.

Leno4ka [110]

Neptune is about four times wider than Earth.

8 0

3 years ago

2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate h

KiRa [710]

Answer:

Null Hypothesis, $H_0$ : $\mu$ = 1,100 square feet

Alternate Hypothesis, $H_A$ : $\mu$ < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

Let $\mu$ = mean area of several apartments.

So, Null Hypothesis, $H_0$ : $\mu$ = 1,100 square feet

Alternate Hypothesis, $H_A$ : $\mu$ < 1,100 square feet

Here, null hypothesis states that the mean area of apartments are same as advertised.

On the other hand, alternate hypothesis states that the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

4 0

3 years ago