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ikadub [295]
3 years ago
9

A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What

Mathematics
1 answer:
natta225 [31]3 years ago
3 0
3,510



913=117
11730=3,510

3,510
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The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.
saw5 [17]

Answer:

x^2 + x -12

Step-by-step explanation:

If the solutions are x=-4 and x=3, then it must have factors (x+4)(x-3). Assuming there is no GCF or leading coefficient other than 1, multiply with FOIL to find the standard form.

(x+4)(x-3)\\x^2 + 4x -3x -12\\x^2 + x -12

7 0
3 years ago
Read 2 more answers
A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list
DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

  1. The population of interest is all city governments in the U.S.
  2. The population of interest is the 192 cities.
  3. The population of interest is all city governments that provide utilities to their residents.
  4. The population of interest is 6.25%
  5. The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
  6. The parameter of interest is 6.25%
  7. The population of interest is the 20 counties.
  8. The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

4 0
3 years ago
A packed box that is being shipped will be weighed in order to calculate the correct postage needed. The total weight of a packe
ivolga24 [154]

Answer:

Step-by-step explanation:

Total Weight of the package = weight of product + weight of box

Weight of empty box =0.88lb

Total weight of the box is =7.24lb

Let Weight of product inside box=w

Let wet of empty box =y

Total weight = F

Then,

F=y+w

Since F=7.24lb. y=0.88

Then, w=F-y

w=7.24-0.88

w=6.36lb

The weight of the product is 6.36lb

5 0
3 years ago
Find the sum and product of the roots. 2x^2 + 6x - 8 = 0
netineya [11]
Suppose you can factorize:

ax^2+bx+c=a(x-r_1)(x-r_2)

Then by expanding the right side, you have

ax^2+bx+c=a(x^2-(r_1+r_2)x+r_1r_2)=ax^2-a(r_1+r_2)x+ar_1r_2

which means in this case, you have to have

\begin{cases}6=-2(r_1+r_2)\\-8=2r_1r_2\end{cases}\implies\begin{cases}r_1+r_2=-3\\r_1r_2=-4\end{cases}
3 0
3 years ago
Calculate the factorization 16w^2+48w+36=(4w+[1])^2
stiv31 [10]

Answer:

  [1] = 6

  x = -3/2 is the root

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a + b)² = a² +2ab +b²

You have ...

  • a²=16w²   ⇒   a = 4w
  • b² = 36   ⇒   b = 6
  • 2ab = 2(4w)(6) = 48w

Then the factorization is ...

  16w² +48w +36 = (4w +6)²

This will be zero when x = -6/4 = -3/2.

3 0
3 years ago
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