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sladkih
12 days ago
8

Mia hired a moving company. The company charged \$500$500dollar sign, 500 for its services, and Mia gives the movers a 16\%16%16

, percent tip.
Mathematics
1 answer:
tester [12.3K]12 days ago
3 0

Answer:

For the complete question,

'Mia employed a moving company that charged $500, and she tipped the movers 16%. What amount did Mia give as a tip?'

Reference:

Solution:

The total charge is $500,

The tip percentage is 16%,

Hence, the tip amount = 16% of the initial charge

= 16% of 500

=\frac{16\times 500}{100}

=\frac{8000}{100}

results in $80

Therefore, Mia's tip to the movers totals $80.

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The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, a
Zina [12379]

Answer:

The proportion of goats at fair Y exceeds that of goats at fair X.

Step-by-step explanation:

From the bar chart,  we see there were 100 goats at both fairs X and Y.

Calculating the percentage of goats at each fair we find:

Fair X = 100/645 * 100 = 15.5%

Fair Y = 100/590 * 100 = 16.9%

This indicates that fair Y had a higher percentage of goats compared to fair X.

6 0
27 days ago
Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation
lawyer [12517]

Answer:

The chance of completing the entire package installation in under 12 minutes is 0.1271.

Step-by-step explanation:

We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.

To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.

Utilizing \phi, we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.

P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)

Given the symmetry of the standard normal distribution density function, we ascertain \phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271.

Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.

Download pdf
7 0
1 month ago
At what rate would you need to invest $12000 and make $2880 after 8 years?
PIT_PIT [12445]

Answer:

3\%

Step-by-step explanation:

We start with the fact that

The formula for simple interest is represented by

I=P(rt)

where:

I denotes the Final Interest Value

P indicates the Principal amount to be invested

r specifies the interest rate

t refers to the Number of Time Periods

For this scenario, we have

t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?

We can substitute these values into the formula mentioned above

2,880=12,000(8r)

Next, we solve for t

2,880=96,000(r)

r=2,880/96,000

r=0.03

Convert to a percentage format

0.03*100=3\%

4 0
1 month ago
Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0, -2, -4, 5
zzz [12365]

Answer:

The polynomial expression k(x)=x(x+2)^3(x+4)^2(x-5)^4

To ascertain the multiplicity of 0, -2, -4, 5.

The multiplicity refers to how many times a root appears in a function.

First, identify the function's roots by setting it to zero.

x(x+2)^3(x+4)^2(x-5)^4=0

Thus, the roots are x=0, -2, -4, and 5

To determine the roots' multiplicities:

The factor of x will give a root of x=0 with a multiplicity of 1

likewise,  x=-2 with a multiplicity of 3

x=-4 with a multiplicity of 2

and x=5 with a multiplicity of 4.



4 0
1 month ago
Read 2 more answers
The sum of the four angles in a rectangle is always 180 degrees true or false?
Zina [12379]
A rectangle consists of 4 sides
with each angle being a right angle
and by definition, a right angle measures 90 degrees
90 + 90 + 90 + 90 = 360\\ or\\ 90 * 4 = 360
False
7 0
18 days ago
Read 2 more answers
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