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3 years ago

8

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is-3

. Which equations represent this situation?

2 answers:

Papessa [141]3 years ago

6 0

The answer is a I’m pretty sure

sasho [114]3 years ago

4 0

A. y= 2x - 3 and y= -2x - 3

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What is the next term in the sequence?<br><br> 1/2,2/6,3/18,4/54

Anni [7]

The next sequence is 5/162.

6 0

3 years ago

If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b

ohaa [14]

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6

4 0

3 years ago

The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To tes

hoa [83]

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

$n = 100, \pi = \frac{46}{100} = 0.46$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883$

The 99% confidence interval for p in this case is (0.3317, 0.5883).

4 0

2 years ago

The table shows the results of a survey of seventh-grade students in the lunch-line

Anni [7]

Answer:

D

Look at the picture. :)

5 0

2 years ago

A plant will become invasive when the number of plants reaches 10,000. Model the situation with an exponential growth function.

sweet-ann [11.9K]

20,000 years hope this helped

3 0

2 years ago