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tia_tia [17]
3 years ago
11

A health food company sells packs of assorted nuts. The company incurs a monthly fixed cost of $1400 for ingredients and raw mat

erials plus packaging costs of $1 per bag.
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
1400 + 1x....or 1400 + x
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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 550, \sigma = 100

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

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

Z = \frac{400 - 550}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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

0.675 = \frac{X - 550}{100}

X - 550 = 0.675*100

X = 617.5

6 0
3 years ago
84 is 30% of what number?<br> 2.8<br> 25.2<br> 280<br> 2520
frez [133]

<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>2</em><em>8</em><em>0</em>

<em>pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> solution</em>

<em>Hope</em><em> </em><em>it</em><em> helps</em>

<em>G</em><em>ood</em><em> luck</em><em> on</em><em> your</em><em> assignment</em>

4 0
3 years ago
Read 2 more answers
3.625 x 10−4<br> Question 2 options:<br><br> .3625<br><br><br> 36,250<br><br><br> 0.0003625
disa [49]

Answer:

0.0003625

:) Hope that helps :)

3 0
3 years ago
A new shopping mall is gaining in popularity every day since it open the number of shoppers is 20% more than the numbers of shop
erastovalidia [21]

Answer: the number of shoppers on the first day is 125

Step-by-step explanation:

The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1 + 20/100 = 1.2

n = 4(first 4 days)

S4 = 671

Therefore, the expression for the first 4 days is

671 = (a × 1.2^(4) - 1)/1.2 - 1

671 = (a × 1.2^(4) - 1)/0.2

671 = 1.0736a/0.2

671 = 5.368a

a = 671/5.368

a = 125

3 0
3 years ago
What should the balance be in Diane's register?<br><br> Will give BRAINLIEST
MArishka [77]

Answer:

The balance of Dianne's register should be $359.41

Step-by-step explanation:

We can begin at the ending balance on the bank statement at $578.30

Then a check is written for $219.25, so a debit

Next a deposit is made for $140.36, so a credit

Then a withdrawal is made for $140.00, so a debit

This means we can make the equation

578.30-219.25+140.36-140.00=359.41

3 0
3 years ago
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