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qaws [65]
2 years ago
5

Which of the following represents a pyramidal number sequence?

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
8 0

Answer: the answer is C

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Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can b
Alinara [238K]
\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{per~lb}{price}&\stackrel{amount}{price}\\
&------&------&------\\
\textit{\$4/lb coffee}&x&4&4x\\
\textit{\$7/lb coffee}&20&7&140\\
------&------&------&------\\
mixture&y&5&5y
\end{array}

so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.

\bf \begin{cases}
x+20=\boxed{y}\\
4x+140=5y\\
----------\\
4x+140=5\left( \boxed{x+20} \right)
\end{cases}
\\\\\\
4x+140=5x+100\implies 140-100=5x-4x\implies 40=x
5 0
1 year ago
Suppose that you want to estimate average income in a population. If the standard deviation of income in the population is $1,00
Alik [6]

Answer:

2401

Step-by-step explanation:

Given that we want to estimate average income in a population.

The standard deviation of income in the population is $1,000

We want confidence interval around our estimate to be +/- $40

i.e Margin of error = 40

We know that margin of error = Std error * Z critical for 95%

i.e. 40 = 1.96 * std error

Std error = \frac{std dev}{\sqrt{n} } \\=\frac{1000}{\sqrt{n} }

Together we get

40=1.96(\frac{1000}{\sqrt{n} } )\\\sqrt{n} =\frac{1000*1.96}{40} \\=49\\n=2401\\

3 0
1 year ago
At noon (12:00), Annette rented a bicycle to travel around Stanley Park. She returned the bicycle at 4:00 pm (16:00) the same da
Doss [256]

Answer:

a. average speed is 12km/hr

b. $5.50 dollars per hour

c. $0.46 per km

Step-by-step explanation:

a. 48km/4hrs = 12km/hr

b. $22/4hrs = $5.50/hr

c. $22/48km = $0.45833/km rounded to $0.46/km

6 0
2 years ago
You work for a landscaper that has a customer needing to seed an area of land 80 feet by 40 feet in size. The garden center has
Andreas93 [3]
You need to convert your 3200 sq ft into yards which is 355.556 sq yards then you divide 355.556 by 25 to get 14.22224 bags of seed needed
3 0
2 years ago
Read 2 more answers
A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured
Masteriza [31]

Question:

A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars. A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars.

Picture of data can be found in the picture attached.

Answer:

Slope = -1.71

Intercept = 22.05

Step-by-step explanation:

Equation of a line usually takes the general form :

ŷ = mx + c

Where :

m = slope or gradient

c = intercept

Inputting the data into a linear regression calculator ;

The output is : ŷ = -1.70872X + 22.04985

Comparing the output to the general formula;

The slope (m):

m = -1.70872 = -1.71(2 decimal places).

The intercept (c):

c = 22.04985 = 22.05(2 decimal places).

7 0
2 years ago
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