All categories

3 years ago

Beatrice makes a jar of dry soup mix. The ingredients are: 1 ¾ cups of uncooked rice

Mathematics

1 answer:

Lapatulllka [165]3 years ago

3 0

Answer:

5 cups of soup mix

Step-by-step explanation:

3. You can make the addition easier by finding a common denominator 12.

7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 --> 21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

To do this you need to multiply every numerator and denominator by the same number until the denominator is equal to 12. When it is 12 you can add up all the fractions to get 5.

I hope this helps!

You might be interested in

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

mamaluj [8]

Answer:

a) $E(A)=\frac{0+50}{2}=25 min$

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

b) $P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

Step-by-step explanation:

Part a

Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:

$A\sim Uniform(a=0 ,b=50)$

We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50

For ths uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(A)=\frac{0+50}{2}=25 min$

And the variance is given by:

$Var(A)= \frac{(b-a)^2}{12}=\frac{(50-0)^2}{12}=208.3333 min^2$

And the standard deviation by definition is just the square root of the variance:

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

Part b

If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.

For this case we want to find this probability: $P(A>25)$

And we can find this probability using the complement rule like this:

$P(A>25) = 1-P(A\leq 25)$

And we can use the cumulative distribution function given by:

$F(A) = \frac{A-a}{b-a}$

And we got:

$P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

5 0

3 years ago

Which expressions are equivalent to 6.6.6.6.6? Choose 2 answers

Margarita [4]

Answer:b and c

Step-by-step explanation:

8 0

3 years ago

Explain how to perform a two-sample z-test for the difference between two population proportions.

Sati [7]

Point estimate for the difference between two population proportions is the difference between the two sample proportions, written as:

$\hat{p}_1-\hat{p}_2$

and the standard deviation is given by

$\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}$

When np and n(1-p) is greater than 5, then the sampling distribution is approximately normal and we can use standard normal methods.

Thus, the propability of a test <span>for the difference between two population proportions is given by

$P(X\ \textless \ x)=P\left(z\ \textless \ \frac{\hat{p}_1-\hat{p}_2}{\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}} \right)$ </span>

3 0

3 years ago

Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle

worty [1.4K]

Answer:

Step-by-step explanation:

Area of rectangle

So we have to factorise the expression

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+7)(x+6)

x+7-(x+6)

x+7-x-6

4 0

3 years ago

You complete 40% of ur hw problems before dinner what fraction of the problems did u complete before dinner

yuradex [85]

Is there any answer choices? I believe it is 2/5

3 0

3 years ago