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3 years ago

If a spinach pie is cut into 10 equal pieces, then what is one piece

Mathematics

1 answer:

Marianna [84]3 years ago

4 0

Answer:

If a spinach pie is cut into 10 equal pieces, the fraction form of it is 1/10 and the decimal form is 0.1

Step-by-step explanation:

10 pieces

10/10 total

1 slice: 1/10

1 = whole pie

split into 10 equal peices =

0.1

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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari

Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as 35 minutes that means $\lambda = \frac{1}{35}$ .

So, X ~ Exp( $\lambda = \frac{1}{35}$ )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

$F(x) = P(X \leq x) = 1 - e^{-\lambda x}$ , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X $\leq$ 37 min)

P(X $\leq$ 37 min) = $1 - e^{-\frac{1}{35} \times 37}$ {Using CDF}

= 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0

3 years ago

A bagback that normally sales $39 is on sale for 30% off.Find the amount of the sale price

Ede4ka [16]

If the sale price is 30%, you turn that into a decimal and it will be .3. now you multiply the discount by 39 and it will get you 11.7. 11.7 is the money of discount so now all you have to do is subtract 11.7 from 39 and you shall get 27.3.

7 0

3 years ago

You preform an experiment to determine how many breaths a fish takes per minute. Your experiment yields the following data: minu

Alex777 [14]

Alright, lets get started.

experiment yields the following data: minute 1: 65 breaths; minute 2: 73 breaths; minute 5: 62 breaths

Total number of breaths = $65+73+62 = 200$

Total minutes observes = 3 minutes

So, average breaths per minute will be = $\frac{200}{3}=66.67$

So, the average number of breaths that a fish takes per minute is 66.67. : Answer

Hope it will help :)

8 0

3 years ago

Read 2 more answers

If the simple interest on $7000 for 10 years is $6300, then what is the interest rate? I will pick branliest answer with the

Roman55 [17]

Answer:

0.09

Step-by-step explanation:

So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.

Then substitute the values you have been given so:

$6300 = 7000 x Interest rate per year x 10.

This is simplifies to 6300 = 70,000 x Annual Interest rate

You can rearrange this to find the annual interest rate by dividing by 70,000:
$\frac{6300}{70000} = Interest\ rate$

Simplifying this would be:
$\frac{63}{700}\\$ = Interest rate.

The interest rate is 0.09.

8 0

1 year ago

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.

Eduardwww [97]

3. Sqrt of 40

4. Sqrt of 148

Distance formula is sqrt of (x-x1)^2+(y-y1)^2

So (-4-2)^2+ (3-5)^2

(-6)^2+(-2)^2

36+4

Sqrt of 40

Do the same process for 4!

Ps don’t forget to keep the square root

5 0

3 years ago