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Liono4ka [1.6K]
3 years ago
15

Eight f subtract three f plus two plus five equals

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0

Answer:

5f + 7

Step-by-step explanation:

You can put the same type in the same collumn.

8f - 3f = 5f

2 + 5 = 7

ANSWER: 5f + 7

Zolol [24]3 years ago
6 0

Answer:

5f + 7

Step-by-step explanation:

8f-3f+2+5

8f-3f is 5f and 2 + 5 is 7

5f+7

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Given: Point C is the midpoint of AB¯¯¯¯¯.
suter [353]

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x   = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

3 0
3 years ago
A rectangle has an area of 112 m2. The length is 12 m more than four times the width. What is the length of a diagonal of the re
tankabanditka [31]
The answer is 1,344 hope this helps
3 0
3 years ago
(43 points) In the US, 85% of the population has Rh positive blood. Suppose we take a random sample of 6 persons and let Y denot
VladimirAG [237]

Answer:

a) Binomial distribution with parameters p=0.85 q=0.15 n=6

b) 62.29%

c) 2.38%

d) See explanation below

Step-by-step explanation:

a)

We could model this situation with a binomial distribution

P(6;k)=\binom{6}{k}p^kq^{6-k}

where P(6;k) is the probability of finding exactly k people out of 6 with Rh positive, p is the probability of finding one person with Rh positive and q=(1-p) the probability of finding a person with no Rh.

So

\bf P(Y=k)=\binom{6}{k}(0.85)^k(0.15)^{6-k}

b)  

The probability that Y is less than 6 is

P(Y=0)+P(Y=1)+...+P(Y=5)

Let's compute each of these terms

P(Y=0)=P(6;0)=\binom{6}{0}(0.85)^0(0.15)^{6}=1.139*10^{-5}

P(Y=1)=P(6;1)=\binom{6}{1}(0.85)^1(0.15)^{5}=0.0000387281

P(Y=2)=P(6;2)=\binom{6}{2}(0.85)^2(0.15)^{4}=0.005486484

P(Y=3)=P(6;3)=\binom{6}{3}(0.85)^3(0.15)^{3}=0.041453438

P(Y=4)=P(6;4)=\binom{6}{4}(0.85)^4(0.15)^{2}=0.176177109

P(Y=5)=P(6;5)=\binom{6}{5}(0.85)^5(0.15)^{1}=0.399334781

and adding up these values we have that the probability that Y is less than 6 is

\sum_{i=1}^{5}P(Y=i)=0.622850484\approx 0.6229=62.29\%

c)

In this case is a binomial distribution with n=200 instead of 6.

p and q remain the same.

The mean of this sample would be 85% of 200 = 170.  

In a binomial distribution, the standard deviation is  

s = \sqrt{npq}

In this case  

\sqrt{200(0.85)(0.15)}=5.05

<em>Let's approximate the distribution with a normal distribution with mean 170 and standard deviation 5.05</em>

So, the approximate probability that there are fewer than 160 persons with Rh positive blood in a sample of 200 would be the area under the normal curve to the left of 160

(see picture attached)

We can compute that area with a computer and find it is  

0.0238 or 2.38%

d)<em> In order to approximate a binomial distribution with a normal distribution we need a large sample like the one taken in c).</em>

In general, we can do this if the sample of size n the following inequalities hold:

np\geq 5 \;and\;nq \geq 5

in our case np = 200*0.85 = 170 and nq = 200*0.15 = 30

4 0
3 years ago
Solve the inequality 7(x + 4) &gt; 0.<br> a.x -4<br> c.x 4
sesenic [268]
Solve your inequality step-by-step.

7(x+4)>0

Simplify both sides of the inequality.

7x+28>0

Subtract 28 from both sides
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7x+28−28>0−28

7x>−28

Divide both sides by 7.

7x/7 > −28/7

x > −4

5 0
3 years ago
Read 2 more answers
Which values of m and b will create a system of equations with no solution? Check all that apply.
Law Incorporation [45]

Answer:

y = -2x + 1

 

Step-by-step explanation:

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

hope i helped

8 0
3 years ago
Read 2 more answers
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