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dedylja [7]
3 years ago
10

At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 c

hoices of sandwich, 4 choices of salad, and 3 choices of soup. How many possible lunch special combinations can be ordered?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer: 35

Step-by-step explanation:

Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.

The number of choices for sandwiches = 5

The number of choices for salad = 4

The number of choices for soup = 3

Now, the number of  possible lunch special combinations can be ordered will be :-

5\times4+5\times3=20+15=35

Hence, the number of  possible lunch special combinations can be ordered will be 35.

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The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

Z = \frac{X - \mu}{s}

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
(7x-3) ( 11y+5) what’s the value of x
timofeeve [1]

Answer:

7x - 3 = 60

7x = 63

 x = 9

if you need to find for y

11y + 5 = 60

11y = 55

   y = 5

Step-by-step explanation:

plz mark brainest

7 0
3 years ago
Hey! please help i’ll give brainliest!
devlian [24]

Answer:

D it will remain at rest

Step-by-step explanation:

Balanced force is two forces pushing the same amount on different sides of an object. If you and a friend tried pushing a table from either side with the same amount of force, it wouldn’t move.

5 0
2 years ago
lease someone tell me its gonna be okay I'm so stressed rn and I cant take it anymore my teacher is so harsh on me and I'm so co
aev [14]

Answer:

It's okay baby

Step-by-step explanation:

I'm here for you, big butt men

3 0
3 years ago
Which expression shows a sum of five terms? (3 points)
Sav [38]

Answer:

5 + x + 5 + x + x

Step-by-step explanation:

We are given 4 expressions and we have to determine which expressions shows a sum of five terms.

We use the process of elimination:

5(x + 5)

=5x+25  (distributing 5)

This contains sum of only two terms, <u>eliminate</u>.

5x

It contains only 1 term, <u>eliminate</u>.

5 + x + 5 + x + x

It contains 5 terms 5,x,5,x and x, <u>KEEP</u>!

5.

Only contains 1 term, <u>eliminate</u>.

With this said, were left with:

5 + x + 5 + x + x

Which is the correct answer! :)

6 0
2 years ago
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