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Black_prince [1.1K]
2 years ago
13

What is the justification for step 2 in the solution process? 10x − 25 − 3x = 4x − 1 Step 1: 7x − 25 = 4x − 1 Step 2: 7x = 4x +

24
Mathematics
1 answer:
Studentka2010 [4]2 years ago
5 0

Answer:

Add 25 to each side using the addition property of equality

Step-by-step explanation:

10x − 25 − 3x = 4x − 1

Step 1: 7x − 25 = 4x − 1  Combine like terms

Step 2: 7x = 4x + 24   Add 25 to each side using the addition property of equality

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In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0
3 years ago
In an apartment complex with 28 units, 19 of the renters keep a pet. What percentage does not keep a pet?
Aleks04 [339]

If 19 out of 28 renters keep a pet, there are 28-19 = 9 renters who don't keep a pet.

Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute

\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100

So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes

\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%

6 0
2 years ago
Estimate the product. Then find the exact product.
Assoli18 [71]

Answer:

7.97

Step-by-step explanation:

hope this helps

sorry if its wrong

4 0
2 years ago
Read 2 more answers
9 squared divided by 3 cubed. Give expression in symbols and evaluate it? What is a exponential mot action with positive exponen
S_A_V [24]
There are numerous ways you can do this, but take a look at the attachment to see how I did it. I hope it answers your question! :)

7 0
3 years ago
Convert the following radian angle into degrees.
NeTakaya

The degree of the radian angle 0.11 is 6.3^{\circ}

Explanation:

It is given that the radian angle is 0.11

We need to determine the degrees of the radian angle.

To convert the radian into degrees, let us multiply the radian with \left(\frac{180}{\pi}\right)

Thus, we have,

0.11\times\left(\frac{180}{\pi}\right)=\frac{19.8}{\pi}

It is given that \pi=3.14

Substituting \pi=3.14 in the above expression, we have,

\frac{19.8}{3.14} =6.303...

Rounding off to the nearest tenth, we have,

6.3^{\circ}

Thus, the degree of the radian angle 0.11 is 6.3^{\circ}

4 0
2 years ago
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