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Jlenok [28]
3 years ago
6

Coach velez took the basketball team out for ice cream sundaes.He bought 8 sundaes at $5.35 each.He left a 15% tip.How much did

coach velez spend in all?
Mathematics
1 answer:
joja [24]3 years ago
7 0
To find the value of Coach Velez's total bill, first we must figure out how much the total of all of the ice cream sundaes were.

To do this, we must multiply the number of sundaes (8) by the cost of each sundae ($5.35).

8 * 5.35 = $42.80

However, Coach Velez also left a tip of 15%.  To find out how much Coach Velez tipped, we have to multiply his regular bill ($42.80) times the amount he is tipping (15% or 0.15)

$42.80 * 0.15 = $6.42

Finally, we just have to add the bill ($42.80) and the tip ($6.42) together to find Coach Velez's total amount.

$42.80 + $6.42 = $49.22

Coach Velez spent $49.22 in all.
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5

Step-by-step explanation:

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Which of the following choices
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Answer:

Denote AH as height of triangle ABC, with H lies on BC.

Applying sine theorem:

AH/AC = sin 60

=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7

=> Area of triangle ABC is calculated by:

A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611

=> Option C is correct.

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What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Bingel [31]

Answer:

Slope = -3/2

Step-by-step explanation:

Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}

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3 years ago
50 POINTS, PLEASE ANSWER
ludmilkaskok [199]

Step-by-step explanation:

Part 1:

Rotation counterclockwise 90 &degree; of a point is

Here is a table of the transformation of all four points:

P(-7,0)-> P'(-0,-7) =P'(0,-7)

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The initial and rotated images are shown attached.

Part 2: it needs to be done with the technology tool that you have.  We can check your work if you post what you did.

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A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.
Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean <em>μ, </em>when the population standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The information provided is:

\bar x=4.58\\s=1.10\\\alpha =0.10

Compute the critical value of <em>t</em> for 90% confidence interval and (n - 1) degrees of freedom as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671

*Use a <em>t</em>-table for the probability.

Compute the 90% confidence interval for population mean <em>μ</em> as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is 4 years, i.e. <em>μ </em>= 4.

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. <em>μ </em>≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. <em>μ </em>= 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

4 0
3 years ago
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