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Lubov Fominskaja [6]
3 years ago
6

01

Mathematics
1 answer:
aev [14]3 years ago
4 0
The is The 103.8 Cause Of the math is correct
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Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The c
AleksandrR [38]

Answer:

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Step-by-step explanation:

Given that the total cost of manufacturing by the company is $15000.

Let x be the number of gallons the company sells.

It is also mentioned that the company earns $10 on each gallon.

So the total profit will be the the difference of the selling cost of gallons and manufacturing cost

Mathematically,

10x-15000

Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so

10x-15000 \geq 50000

The number of gallons can be found by solving the obtained inequality.

Hence,

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

7 0
3 years ago
Over the last four months, the number of building blocks sold to parents of preschoolers increased. During the same time period,
Naya [18.7K]

Interpretation:

B.

Why?

I think it is B. because you can buy the building blocks first, and then find an educational video about the blocks. I hope this helps!

8 0
3 years ago
A bowling team roster has 7 players on it. How many groups of 4 players can be created?
gogolik [260]
1 group can be created because if you divide 7 by 4 you will get 1.75 which is 1 group and 3/4 of another so it doesn’t count as a group.
6 0
3 years ago
Prompt According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507
OlgaM077 [116]

Answer:

The actual SAT-M score marking the 98th percentile is 735.105.

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 = 507, \sigma = 111

Find the actual SAT-M score marking the 98th percentile?

This is the value of X when Z has a pvalue of 0.98. So it is X when Z = 2.055.

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

2.055 = \frac{X - 507}{111}

X - 507 = 2.055*111

X = 735.105

The actual SAT-M score marking the 98th percentile is 735.105.

3 0
3 years ago
Read 2 more answers
Evaluate the series 4 sigma n=1 n+4
musickatia [10]

Answer:

\sum _{n=1}^4n+4=26

Step-by-step explanation:

 Given : \sum _{n=1}^4\:n+4

We have to evaluate the sum.

 

Consider , the given sum \sum _{n=1}^4\:n+4

Apply the sum rule, \sum a_n+b_n=\sum a_n+\sum b_n    

we have,

=\sum _{n=1}^4n+\sum _{n=1}^44

Consider \sum _{n=1}^4n first,

Applying sum formula, \sum _{k=1}^nk=\frac{1}{2}n\left(n+1\right)

Here, n = 4, we get,

=\frac{1}{2}\cdot \:4\left(4+1\right)

\sum _{n=1}^4n=10

Now consider \sum _{n=1}^44

\mathrm{Apply\:the\:Sum\:Formula:\quad }\sum _{k=1}^n\:a\:=\:a\cdot n

=4\cdot \:4=16

Therefore, =\sum _{n=1}^4n+\sum _{n=1}^44=10+16=26

Thus, \sum _{n=1}^4n+4=26

6 0
4 years ago
Read 2 more answers
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