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stira [4]
3 years ago
15

Express each ratio as a fraction in the simplest form. 12 beetles out of 18 insects .

Mathematics
1 answer:
slava [35]3 years ago
3 0

Answer:

2/3

Step-by-step explanation:

12/6=2

18/6=3

so

the fraction is 2/3

i think this is what your teachers means, lmk if thats wrong

You might be interested in
Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass
zimovet [89]

Answer:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

X \sim N(14.4,1.1)  

Where \mu=14.4 and \sigma=1.1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

P(X  

P(z

And we have:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

8 0
3 years ago
The histogram shows the number of miles walked one weekend by people in a hiking club.
dusya [7]
The answer is D because all the rest of the statments are untrue. d is also right because 4 people walked 3-5 miles and 3 people walked 6-8 miles and as you know, 3+4=7
3 0
3 years ago
CHOOSE TO ANSWER EITHER QUESTION:
Ugo [173]

Answer:

First one: C. Second One:C.

Step-by-step explanation:

Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years?

a) $13,935.76

b) $12,874.57

c) $13,792.99

To solve this this is an exponential function. The price started at $23,000 and depreciates at 12% so the equation is f(x) = (23,0000)(1-0.12)^4. When calculated results with 13792.99328 which is C.

A rare coin is currently worth $450. The value of the coin increases 4% each year. Determine the value of the coin after 7 years.

a) $613.98

b) $546.78

c) $592.17

To solve this this is also an exponential function. The price started at $450 and  the coin increases 4% each year so the equation is f(x) = (450)(1+0.04)^7. When calculated results with 592.169300656 which is c.

4 0
3 years ago
Write an absolute value equation that represents these heights 10 and 15
djverab [1.8K]

Answer:

An equation for the absolute value that represents the midpoint of 10 and 15 would be (10 + 15)/2 = 12.5

6 0
3 years ago
Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawa
Phantasy [73]

Answer:

A=\$11,748.76

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=11\ years\\ P=\$5,500\\ r=6.9\%=6.9/100=0.069  

substitute in the formula above

A=5,500(e)^{0.069*11}  

A=5,500(e)^{0.759}  

A=\$11,748.76

7 0
3 years ago
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