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AysviL [449]
3 years ago
5

Is going from $8 to $10 a percent increase or a percent decrease?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

Percent Increase

Step-by-step explanation:

adelina 88 [10]3 years ago
6 0

Answer:

Increase by 25%

Step-by-step explanation:

the number 8 is increasing to 10

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According to a​ survey, 65​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed
monitta

Answer:

a) P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421

b) P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714

P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502

P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319

And adding these values we got:

P(36 \leq X \leq 38)= 0.1535

c) We can find the expected value given by:

E(X) = np =50*0.65 = 32.5

And the standard deviation would be:

\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

\mu -2\sigma = 32.5- 2*3.373 = 25.75

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

X \sim Binom(n=50, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

We want this probability:

P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421

Part b

We want this probability:

P(36 \leq X \leq 38)

We can find the individual probabilities:

P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714

P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502

P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319

And adding these values we got:

P(36 \leq X \leq 38)= 0.1535

Part c

We can find the expected value given by:

E(X) = np =50*0.65 = 32.5

And the standard deviation would be:

\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

\mu -2\sigma = 32.5- 2*3.373 = 25.75

And then we can consider a value of 18 as unusual lower for this case.

6 0
3 years ago
How do you solve 12x =144
julia-pushkina [17]
1st. Try to make x by itself. Divide 12 on each side.
After it will look like this

x=12
8 0
2 years ago
Read 2 more answers
Let line A be the graph of 5x + 8y = -9. Line B is perpendicular to line A and passes through the point (10,10). If line B is th
frozen [14]
Find slope of line A:
Move into slope-intercept form y = mx+b

<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8

The slope of line A is -5/8.

If </span><span>Line B is perpendicular to line A, then

slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5

So like B has the equation

y = (8/5)x + b

If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6

So line B has equation </span>
<span>y = (8/5)x - 6

m = 8/5 and b = -6

so

m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5

So m+b = -22/5 or -4.4 in decimal form
</span>
6 0
3 years ago
Write the equation of the line in slope-intercept form that goes through the points: (2,4) and (7,-1)
IgorC [24]

Answer:

y= -x+8

Step-by-step explanation:

slope int. form: y=mx+b

first, we need to find the slope (m)

the two points are (2,4) and (7,-1).

to find the slope we do (y2-y1)/(x2-x1)

doing this we get -5/5=-1

now we can plug in point (2,4) and the slope into y=mx+b

doing this we get:

4=-1(2)+b

4=-2+b

b=8

now we have the equation:

y= -x+8

7 0
2 years ago
Read 2 more answers
How to solve 4x-c=k solve for x
Tresset [83]

Answer:

x = \frac{k + c}{4}

Step-by-step explanation:

<em><u>Given:</u></em>

4x - c = k

<em><u>Solve for:</u></em>

x

<em><u>Solution:</u></em>

(1) Let's move all of components that do not contain x (our target) to the right side (notice the change of sign of c from negative to positive):

4x = k + c

(2) Let's divide both sides of equation by 4:

\frac{4x}{4}  = \frac{k + c}{4}

(3) Now, we simplify the left side:

x = \frac{k + c}{4}

This is the solution.

Hope this helps!

:)

3 0
3 years ago
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