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Talja [164]
3 years ago
15

1. 3(2x - 5) = 55 - 4x

Mathematics
2 answers:
attashe74 [19]3 years ago
4 0

Answer:

7

Step-by-step explanation:

6x-15=55-4x

combining similar terms

6x+4x=55+15

10x=70

dividing both sides by 10

x=7

marshall27 [118]3 years ago
4 0

Answer: X = 7

Step-by-step explanation:

3(2x - 5) = 55 - 4x

Open bracket

6x - 15 = 55 - 4x

Collect like terms

6x + 4x = 55 + 15

10x = 70

x = 70/10

x = 7

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Given m || n, find the value of x
il63 [147K]

Answer:

if m and n are parallel then the value of x is 11

4 0
3 years ago
The difference of two numbers is 42. the larger number is three less than six times the smaller number. find the numbers.
IgorLugansk [536]
X and y are the numbers
x>y

diffference is 42
x-y=42

larger is 3 less than 6 times smaller
x=-3+6y

subsitute -3+6y for x

x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9

sub back

x=-3+6y
x=-3+6(9)
x=-3+54
x=51

the numbers are 51 and 9
5 0
3 years ago
What is the answer to these questions I will give brainly
Natalka [10]

Answer:

1) 12 2) 1/8

Step-by-step explanation:

1) 3 times 4 = 12

2) 1/2 times 1/4 = 1/8

     

6 0
3 years ago
10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

M = \sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
Find the midpoint between -7+4i and 3-2i
lana [24]
(-2,3) i believe this is correct
6 0
3 years ago
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