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taurus [48]
3 years ago
6

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

We are given

The student council earned $1.25 for every cup of hot chocolate it sold

and $0.75 for every cup of apple cider it sold

total number of cup is 375

We can see that first term is 1.25x

and we have

The student council earned $1.25 for every cup of hot chocolate

so, to find total cost of hot chocolate , we multiplied 1.25 with x

that's why

x must be the number of cups of hot chocolate sold

So the answer must be C

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Suppose flights on standard routes between two given cities use on average 3,087 gallons of kerosene with standard deviation of
Radda [10]

Answer:

15.866%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 3,282 gallons of kerosene

μ is the population mean = 3,087 gallons of kerosene

σ is the population standard deviation = 195 gallons

For x > 3282 gallons

z = 3282 - 3087/195

z = 1

Probability value from Z-Table:

P(x<3282) = 0.84134

P(x>3282) = 1 - P(x<3282) = 0.15866

Converting to percentage

0.15866 × 100 = 15.866%

The percent of flights on these particular routes that will burn more than 3,282 gallons of kerosene is 15.866%

3 0
2 years ago
a media statistics agency reports that the mean number of televisions in a household in a particular country is 2.24. assume tha
KatRina [158]

The probability of a random sample of 40 households having a sample means a number of at least 2.55 televisions per household is 0.48173.

Given: Mean(μ) = 2.24, Standard deviation(σ) = 1.38, Sample size(n) = 1.28 and a random variable for X = 2.55

What is a probability distribution?

A probability distribution is a kind of function for a discrete variable X, whose distribution over a certain interval is discrete or it shows the density of a random variable X that occurs over a given interval in the given distribution.

What is the z-score?

The z-score or the z-value shows the number of standard deviations unit away lies the given random variable from the mean.

Or it shows how dense is the value for a random variable near or away from the mean.

The formula to calculate the z-score from the mean. The standard deviation is:

z = (X - μ) / ( σ / √(n)) where,

z = z-score,

X = random variable,

μ = mean,

σ = standard deviation, and

n = sample size

Let's solve the given question:

We have,

Mean(μ) = 2.24,

Standard deviation(σ) = 1.38,

Sample size(n) = 1.28, and

a random variable for X = 2.55

As it is given sample means at least 2.55 so we have to find the Z(x ≥ 2.55).

Therefore, Z(x ≥ 2.55) = (2.55 - μ) / ( σ / √(n))

Substituting all values we get:

Z(x ≥ 2.55) = (2.55 - 2.24) / ( 1.38 / √(40))

Z(x ≥ 2.55) = 0.01 / 0.21819

Z(x ≥ 2.55) = 0.48173

Hence the probability of a random sample of 40 households having a sample means a number of at least 2.55 televisions per household is 0.48173.

Know more about “probability distribution” here: brainly.com/question/11234923

#SPJ4

Disclaimer: The given question is incomplete. The complete question is mentioned below:

a media statistics agency reports that the mean number of televisions in a household in a particular country is 2.24 with a standard deviation of 1.38 what is the probability of a random sample of 40 households having a sample means a number of at least 2.55 televisions per household?

7 0
1 year ago
Point M is between points N and O on NO. Find the length of NM if MO=12.3 and NO=26.9
steposvetlana [31]
MN would be 14.6 because you subtract the other two numbers
4 0
2 years ago
Read 2 more answers
Abby works in the sales department. This month the company is offering a 3-week paid vacation to every employee who sells 230% o
kondaur [170]
$110,400 products this month because $48,000(230%)=$110,400.
3 0
3 years ago
Read 2 more answers
The driver of a car moving at 86.0 km/h receives a text message on his cellphone. If it takes him 6.1 seconds to read and respon
AveGali [126]

Answer: 0.0905475920892 miles

Step-by-step explanation:

Convert km to Miles using conversion

1km = 0.6213712 miles

86 x 0.6213712 = 53.4379232 miles/hour

divide that by 60 to get miles per minute. Divide again to get miles per second

53.4379232 / 60 / 60 = 0.0148438675556 miles/second

6.1 x 0.0148438675556 = 0.0905475920892 miles

8 0
2 years ago
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