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Ymorist [56]
3 years ago
5

Ziv's taxicab ride cost $33. He left a 15% tip.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

1. Find 15% of $33 to find the tip.

Find 1%  of $33 (move the decimal over 2 places to the left.        $0.33

2. Multiply the 1% tip by 15%

       33 * 15 =  $4.95  

3. Add $33 and $4.95

          4.95 + 33.00 = $37.95 total

 

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A researcher is going to estimate the average typing speed of students of a college. He selects a random sample of 20 students a
Stella [2.4K]

Answer:

The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7291

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have s = 5, n = 20. So

M = T\frac{s}{\sqrt{n}}

M = 1.7291\frac{5}{\sqrt{20}}

M = 1.933

The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.

8 0
3 years ago
A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the
muminat

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}

4 0
3 years ago
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.
Agata [3.3K]
3 because the 2z minus the 3 gives you 1 rounded
4 0
3 years ago
Read 2 more answers
A line of 8cm was measured as 8.04cm what is the percentage error​
BlackZzzverrR [31]

Answer:

0.5% error

Step-by-step explanation:

We can use the percentage error formula, which is

\frac{|approx-exact|}{exact}\cdot100.

We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.

\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5

Hope this helped!

5 0
3 years ago
What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)
GarryVolchara [31]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m of AB using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)

m = \frac{2-2}{-3-6} = \frac{0}{-9} = 0

A line with a slope of zero is a horizontal line, parallel to the x- axis.

Thus a line perpendicular to AB is a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

8 0
3 years ago
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