Use multiples to determine the LCM of 45and 60

It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott

Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

5 0

3 years ago

Which of the following is the sum of the polynomials 5x^2-4x+1 and -3x^2+x-3??

Katyanochek1 [597]

5x^2-4x+1 + -3x^2+x-3= 2x^2-3x-2

6 0

3 years ago

Suppose that an airline overbooks seats on their flights. In particular, it sells 300 tickets for a flight when there are only 2

vladimir1956 [14]

Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

In this problem:

15% do not show up, so 100 - 15 = 85% show up, which means that $p = 0.85$ .
300 tickets are sold, hence $n = 300$ .

The mean and the standard deviation are given by:

$\mu = np = 300(0.85) = 255$

$\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185$

The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is $P(X \leq 270 + 0.5) = P(X \leq 270.5)$ , which is the p-value of Z when X = 270.5.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{270.5 - 255}{6.185}$

$Z = 2.51$

$Z = 2.51$ has a p-value of 0.994.

0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

A similar problem is given at brainly.com/question/24261244

8 0

3 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

dolphi86 [110]

Answer:

r = i/pt

r =450/3000*3

r =0.05*100=5%

5 0

3 years ago

1. y = x + 2 y=-3x What’s is the answer?

DiKsa [7]

Answer:

x=(-1/2) y=(3/2)

Step-by-step explanation:

y=x+2 Given

-3x=x+2 Substitute (-3x) for y

-2-3x=x Subtract 2 from both sides

-2=4x Add 3x to both sides

(-1/2)=x Divide both sides by 4.

y=x+2 Given

y=(-1/2)+2 Substitute (-1/2) for x

y=1 1/2

or

y=3/2

3 0

2 years ago

Use multiples to determine the LCM of 45and 60​

Use multiples to determine the LCM of 45and 60