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Hatshy [7]
3 years ago
11

What is the product of 2p + q and -3q - 6p + 1

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

\large\boxed{(2p+q)(-3q-6p+1)=-3q^2-12p^2-12pq+2p+q}

Step-by-step explanation:

Use the distributive property: <em>a(b + c) = ab + ac</em>

(2p+q)(-3q-6p+1)=(2p+q)(-3q)+(2p+q)(-6p)+(2p+q)(1)\\\\=(2p)(-3q)+(q)(-3q)+(2p)(-6p)+(q)(-6p)+2p+q\\\\=-6pq-3q^2-12p^2-6pq+2p+q\qquad\text{combine like terms}\\\\=-3q^2-12p^2+(-6pq-6pq)+2p+q=-3q^2-12p^2-12pq+2p+q

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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

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}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
Ethan opens a new savings account.
Musya8 [376]

Answer:

$2070

Step-by-step explanation:

= 2000 \times (1 +  \frac{3.5}{100})^{2}

= 2070

6 0
2 years ago
Point B is on line segment AC . Given AB=3x,AB=3x, BC=4x+8,BC=4x+8, and AC=5x+10,AC=5x+10, determine the numerical length of AC
kolezko [41]

Answer:

AC = 15

Step-by-step explanation:

3x + 4x + 8 = 5x + 10

7x + 8 = 5x + 10

2x + 8 = 10

2x = 2

x = 1

5(1) + 10 = 15

3 0
3 years ago
Read 2 more answers
maria wants a bracelet for $16.00 the sales tax is 6% how much will she pay total for the bracelet , including tax
Llana [10]

Answer:

She will pay 16.96 for the bracelet

3 0
2 years ago
Okay, what is x if: -7/9 (x 3) =14?
Charra [1.4K]
I hope this helps you



-7.x^3=2.7.9



x^3=-18


x=i.(3square root of 18)
3 0
2 years ago
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