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seraphim [82]
2 years ago
11

10 Points for Answering Find x: 6x-8= 1/2 (4x+5)

Mathematics
2 answers:
Elena L [17]2 years ago
8 0

Answer:

1

Combine multiplied terms into a single fraction

6−8=12(4+5)

6−8=1(4+5)2

2

Multiply by 1

6−8=1(4+5)2

6−8=4+52

3

Add

8

888

to both sides of the equation

6−8=4+52

6−8+8=4+52+8

10 more steps

Solution

=21/8

Step-by-step explanation:

Yanka [14]2 years ago
4 0
6x-8=1/2(4x+5)
6x= 2x+5/2+8
6x-2x=5/2+8
12x-4x=5+16
8x = 21
X= 21/8
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A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

q is the probability of failure q=1-p, q=1-\frac{2}{7}=\frac{5}{7}

n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}

P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

5 0
3 years ago
Is 4 √ 7 2 written in simplest radical form<br><br> yes or no
lord [1]

Answer:

No.

Step-by-step explanation:

Notice that 72 can be written as 8 * 9.

4√72 = 4(√8)(√9) = 4(√8)(3) = 12√8.

Hence the answer is No.

4 0
3 years ago
Read 2 more answers
Two and two fifths divided by one and a half
worty [1.4K]

Answer:

8/5 or 1 3/5

Step-by-step explanation:

2 2/5 = 12/5

1 1/2 = 3/2

Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...

12     3         12    2        24     8             3

—  ÷ —   =   — × —    =  —  = —   <em>or</em>  1  —

5       2         5     3        15      5             5

*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.

6 0
3 years ago
Help i made it worth a lot of points
raketka [301]

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

4 0
2 years ago
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Which function is the inverse of f(x) = -5x- 4?
almond37 [142]

Answer:

Inverse of  - 5 x - 4 = \frac{x + 4}{5}

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

y=- \frac{x + 4}{5}  which is the inverse

3 0
2 years ago
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