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3 years ago

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A bag contains 324 sweets Amelia takes 1/9 of the sweet from the bag the remaining sweets are divided between Isabella and Olivi

a in the ration 1:5 how many sweet dose Olivia have ?

1 answer:

allsm [11]3 years ago

8 0

Answer:

Olivia has 240.

Step-by-step explanation:

Amelia took 36 and there were 288 left over. A ratio of 1:5 with 288 would be 48 and 240 so therefore, Olivia has 240.

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.

barxatty [35]

Answer: 0.05

Step-by-step explanation:

Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]

The probability density function will be :-

$f(x)=\dfrac{1}{56-46}=\dfrac{1}{10}=0.1\ \ , 46$

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

$P(50.75$

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05

7 0

3 years ago

The angles with measures x and 4x are complementa angles.which is the value of x

pochemuha

Answer:

$\huge\boxed{x=18^o}$

Step-by-step explanation:

Two angles are Complementary when they add up to 90°.

Therefore

$x+4x=90\qquad|\text{combine like terms}\\\\5x=90\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{90}{5}\\\\\boxed{x=18}$

8 0

3 years ago

Is it possible to express every decimal as a fraction (without rounding)?

rusak2 [61]

Yes, with exceptions. It is possible to express every decimal as a fraction,
without rounding, unless the decimal is non-terminating AND non-repeating.

4 0

3 years ago

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

so

$x=37\ packages\ of\ Twinkies$

7 0

3 years ago

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8

svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575\frac{2.4}{\sqrt{955}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0

3 years ago