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Kay [80]
2 years ago
7

Consider a picnic. if you want to buy enough hot dogs and buns without having any left over, you need to balance the number of p

ackages of buns (which usually contain 8 buns) with the number of packages of hot dogs (which usually contain 10 dogs). what is the smallest number of packages of buns and hot dogs you need, respectively?
Mathematics
1 answer:
Leni [432]2 years ago
5 0
No guarantee that there will enough hotdogs for the buns, we must find the common multiple between the usual number of hot dogs and buns in each package.

Since we're looking for the smallest common multiple between 8 and 10, we can use the method shown below to compute for the least common multiple. 

8 = 2³ 
10 = 2 x 5
LCM = 2³ x 5 = 40

To purchase 40 hot dogs and buns, you need to buy 5 packages of buns and 4 packages of hot dogs.

Answer:

Hotdog: 4 packages
Buns: 5 packages
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A farmer plows a corn field in the shape of a rectangle that has an area of 15840 square yards if the length of the field is 132
igomit [66]

Answer:

<u>Width= 120</u>

<u />

Step-by-step explanation:

We know that <u>L*W= A</u>

So lets put in the variables we know into the equation.

<u>L= 132 yards</u>

<u>A= 15840</u>

132 * W= 15840

All we need to do is <u>divide 15840 by 132</u>

<u>15840/132= 120</u>

<u>W=120</u>

5 0
2 years ago
Divide 3p2 + 6p + 2 by 3p2.
kondor19780726 [428]

We need to divide

\frac{3p^2+6p+2}{3p}

So, we can divide each terms of the numerator by 3p. So,

\frac{3p^2}{3p} +\frac{6p}{3p} +\frac{2}{3p}

=p+2+\frac{2}{3p}

\frac{2}{3p} [/tex] cannot be further simplify. So, the final answer is:

p+2+\frac{2}{3p}

4 0
2 years ago
Read 2 more answers
3. After completing a statistical analysis of a survey of 40 students, the principal
Serhud [2]

Answer:

Option A

Step-by-step explanation:

A type I error is committed when a researcher rejects the null hypothesis when it is actually true.

The null hypothesis is: U <= 50%

The alternative is: U > 50%

Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.

5 0
2 years ago
Given: PKHE - inscribed, m∠E=120°,
Montano1993 [528]

Answer:

C is the answer they are equal.

Step-by-step explanation:

5 0
2 years ago
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
mixer [17]

Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
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