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Ilya [14]
3 years ago
10

Yolanda is buying supplies for school. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What

does the term in the expression 1.4n + 1.2m represent? What does the entire expression represent?
Mathematics
1 answer:
Elanso [62]3 years ago
4 0
The entire expression represents how many packages of pencils and pads of paper bought.
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You deposit $2000 in an account that earns 5% annual interest compounded quarterly Find the balance after five years. Show work.
evablogger [386]
500 , 2000x.05 is 100 10x5 = 500
8 0
3 years ago
Team infinite dimensions canoed 15 3/4 miles in 3 hours. what was their average rate of speed in miles per hour?
Karo-lina-s [1.5K]
Miles per hour

(15 and 3/4) miles per 3 hours

remember that
(a+b)/c=(a/c)+(b/c)
and
a and c/d=a+c/d

so

(15 and 3/4)/3=(15/3)+(3/4)/3
remember that dividing by a number is like multiplying by a fraction
15/3=5
(3/4)/3=(3/4) times (1/3)=3/12=1/4

(15/3)+(3/4)/3=5+1/4=5 and 1/4

answer is 5 and 1/4 miles per hour
7 0
3 years ago
Read 2 more answers
What is m Any answers?
Likurg_2 [28]

Answer:

B. 68°

Step-by-step explanation:

Since, opposite sides of the quadrilateral MNPQ are parallel.

Therefore, it is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

So,

(6x - 2)° = (4x + 36)°

6x - 2 = 4x + 36

6x - 4x = 36 + 2

2x = 38

x = 38/2

x = 19

m\angle M = (6x - 2)\degree  \\  \\ m\angle M = (6 \times 19- 2)\degree  \\  \\ m\angle M = (114- 2)\degree  \\  \\  m\angle M =112\degree  \\  \\ \because m\angle M + m\angle N = 180\degree  \\ (adjacent \: angles) \\  \\ \therefore m\angle N = 180\degree   - m\angle M \\  \\ \therefore m\angle N = 180\degree   - 112 \degree \\  \\ \therefore m \angle N = 68\degree

8 0
2 years ago
14 POINTS 14 Points 14 points
viva [34]

Answer:

r = 10 cm

Step-by-step explanation:

r² = 8² + 6²

r² = 64 + 36 = 100

r = 10 cm

8 0
3 years ago
Read 2 more answers
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
3 years ago
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