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In-s [12.5K]
3 years ago
5

Evaluate (-b)2 for a = 5, b = -4, and c = 2. -4 16 -16

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
(-b)^2 = (-(-4))^2 = 4^2 = 16
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11<br> The 7th term of Ap is 27 and the 12th term is 47.what is the sequence
inessss [21]

Answer:

3, 7, 11, 15, 19, 23, 27,.......

Step-by-step explanation:

Let the first term and the common difference of the AP be a and d respectively.

a_7 = 27 .....(given)

Therefore,

a + (7- 1) d = 27

a + 6d = 27

a = 27 - 6d...... (1)

a _{12} = 47.....(given)

Therefore,

a + (12 - 1) d = 47

a + 11d = 47......(2)

From equations (1) & (2)

27 - 6d + 11d = 47

24 + 5d = 47

5d = 47 - 27

5d = 20

d = 20/5

d = 4

Plug d = 4 in equation (1) we find:

a = 27 - 6*4

a = 27 - 24

a = 3

Therefore,

a_1 = a = 3

a_2 = a_1 + d= 3 + 4 = 7

a_3 = a_2 + d= 7 + 4 = 11

a_4 = a_3 + d= 11 + 4 = 15

a_5 = a_4 + d= 15 + 4 = 19

a_6 = a_5 + d= 19 + 4 = 23

a_7 = a_6 + d= 23 + 4 = 27

Thus, the sequence is: 3, 7, 11, 15, 19, 23, 27,.......

8 0
3 years ago
The cell membrane in an animal cell contains the master plan in cells activities​
larisa86 [58]

Answer:

Both plant and animal cells can have endoplasmic reticulum. Both plant and animal cells can have mitochondria. In animal cells, chromosomes contain the master plan for cell activities and cell development. The cell membrane controls which substances enter and leave a plant cell

Step-by-step explanation:

6 0
3 years ago
WILL
Free_Kalibri [48]

Answer:

67.6

Step-by-step explanation:

first, to find the mean you add up all the numbers and you would get 338. Next, you divide by how many numbers there are (5) so 338 divided by 5 equals 67.6

5 0
3 years ago
Research suggests that about 60% of CSU graduates started at a community college. In random samples of 100 CSU graduates, the pe
Nesterboy [21]

Answer:

The probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% is 0.6923.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

 \sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

The information provided is:

<em>p</em> = 0.60

<em>n</em> = 100

As <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportions.

The distribution of sample proportion is \hat p\sim N(0.60, 0.049^{2}).

Compute the probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% as follows:

P(|\hat p-\mu_{\hat p}|=0.05)=P(-0.05

                             =P(\frac{-0.05}{0.049}

Thus, the probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% is 0.6923.

8 0
3 years ago
Use the rules of equations and inverse operations to solve the equation. 3x^2=48
stepan [7]

Answer:

x = plus or minus 4

Step-by-step explanation:

Let's first simplify this equation by dividing both sides by 3:

3x^2     48

------- =  ------  becomes x^2 = 16

   3          3

Taking the square root of both sides of x^2 = 16, we get x = plus or minus 4.

5 0
4 years ago
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