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padilas [110]
2 years ago
10

Solve for x: 3(x + 1) = -2(x - 1) - 4. (1 point) -1 0 1 O -5 -25

Mathematics
1 answer:
GrogVix [38]2 years ago
8 0
X = -1
A is the answer
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The area in square feet of a rectangular field is x^2-100x+2400. The width, in feet is x-40. What is the length, in feet?
sattari [20]

Answer:

x-60

Step-by-step explanation:

You have to factor out the quadratic.

You know that one of the factors is x-40.

To factor:

Find a number that when added to -40, gives you -100, and also when multiplied, gives you 2400.

That such number is -60.

Add an x before it, and you get (x-60)

3 0
3 years ago
Find the distance represented by 4.9 inches if 1 inch = 50 miles.
pishuonlain [190]

Answer:

245 miles

Step-by-step explanation:

To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.

8 0
2 years ago
Read 2 more answers
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
Elanso [62]

Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}

The total number of possible choices is

_{2}^{20}\textrm{C} \text{ ways to do it}

The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

Choose the first alternative

7 0
2 years ago
Read 2 more answers
3. Suppose the mystery bag had resulted in the following number of red chips. Using the simulated sampling distributions found e
Vinvika [58]

Answer:

a) 0.172

b) 0.167

c) 0.1404

Step-by-step explanation:

Margin of error, E = 2\times\sqrt{\frac{p(1-p)}{n}}

here,

p = probability of the event

n = sample size

a) n = 30

p = 10 ÷ 30 = 0.333

Therefore,

E = 2\times\sqrt{\frac{0.333(1-0.333)}{30}}

= 2 × 0.0861

= 0.172

b)  n = 30

p = 21 ÷ 30 = 0.7

Therefore,

E = 2\times\sqrt{\frac{0.7(1-0.7)}{30}}

= 2 × 0.0836

= 0.167

c) n = 30

p = 22 ÷ 50 = 0.44

Therefore,

E = 2\times\sqrt{\frac{0.44(1-0.44)}{50}}

= 2 × 0.0702

= 0.1404

3 0
2 years ago
Draw a hexagon with exactly two outside diagonals
Drupady [299]
It is not possible to draw here. I am attaching the diagram along with the answer. I hope the diagram will be clear for you to understand. I also hope that this is the answer that has actually come to your desired help. You can draw it with pencil, if you want to make it perfect.

4 0
3 years ago
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