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dimaraw [331]
3 years ago
9

Find the LCD? P+3/p^2+7p+10 and p/5/p^2+5p+6

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0
P²+7p+10=(p+2)(p+5) and p²+5p+6=(p+2)(p+3) so the LCD is (p+2)(p+3)(p+5).
The first fraction becomes (p+3)²/((p+2)(p+3)(p+5)) and the second fraction becomes p(p+5)/(5(p+2)(p+3)(p+5)).
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15. There is a 25% chance of rain tomorrow. The probability that the price of gold rises tomorrow is 37%. The probability that i
Alchen [17]

Step-by-step explanation:

yes, the 2 events are entirely independent

neither one influences the other.

3 0
2 years ago
Read 2 more answers
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
3 years ago
If the sides of a triangle are 3,4, and 5, then, to the nearest degree , the measure of the smallest angle of the triangle is?
ASHA 777 [7]

Answer:

37 Degrees

Step-by-step explanation:

arc tan(3/4) = 36.869 degrees

5 0
3 years ago
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
Pepsi [2]

Answer:

Step-by-step explanation:

a) The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of group 1

x2 = sample mean of group 2

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

For a 90% confidence interval, the z score is 1.645

From the information given,

x1 = 24.5

s1 = 4.3

n1 = 200

x2 = 16.3

s2 = 3.1

n2 = 200

x1 - x2 = 24.5 - 16.3 = 8.2

z√(s1²/n1 + s2²/n2) = 1.645√(4.3²/200 + 3.1²/200) = 1.645√0.1405

z = 0.62

Therefore, the 90% confidence interval is 8.2 ± 0.62

Interpretation:

B.The researchers are 90% confident that the difference of the means is in the interval.

b) B.Since the 90% confidence interval does not contain​ zero, the results suggest that priming does have an effect on scores.

8 0
2 years ago
Simple Question Math attachment added<br> Solve for q.<br><br> s = 4p + 4q
klasskru [66]

That would be c, or s-4p/4

I also took the test XX

hope it helps!

8 0
3 years ago
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