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3 years ago

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Mathematics

2 answers:

Sonbull [250]3 years ago

7 0

<h2>W-what? Why are you wasting the points?</h2>

telo118 [61]3 years ago

4 0

Hsiabwbshhdbevejsjsbsvs

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If a restaurant bills totals $85, what amount should be left as a 15$ tips

IgorC [24]

If the total bill is $85, and you want to leave a 15% tip, then you can calculate it as follows:

85 * 15%

= 85 * 15/100

= 85 * 0.15

= 12.75

The amount that should be left as a tip is D. $12.75.

6 0

3 years ago

A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the

dedylja [7]

Answer:

250 sq ft

Step-by-step explanation:

Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide

and 100 -20 -30 = 50 ft long

50 x 50 = 250 sq ft

3 0

3 years ago

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

LiRa [457]

Answer:

a) 0.0082

b) 0.9987

c) 0.9192

d) 0.5000

e) 1

Step-by-step explanation:

The question is concerned with the mean of a sample.

From the central limit theorem we have the formula:

$z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$

a) $z=\frac{1224-1200}{\frac{60}{\sqrt{36} } }=2.40$

The area to the left of z=2.40 is 0.9918

The area to the right of z=2.40 is 1-0.9918=0.0082

$\therefore P(\bar X\:>\:1224)=0.0082$

b) $z=\frac{1230-1200}{\frac{60}{\sqrt{36} } }=3.00$

The area to the left of z=3.00 is 0.9987

$\therefore P(\bar X\:$

c) The z-value of 1200 is 0

The area to the left of 0 is 0.5

$z=\frac{1214-1200}{\frac{60}{\sqrt{36} } }=1.40$

The area to the left of z=1.40 is 0.9192

The probability that the sample mean is between 1200 and 1214 is

$P(1200\:$

d) From c) the probability that the sample mean will be greater than 1200 is 1-0.5000=0.5000

e) $z=\frac{73.46-1200}{\frac{60}{\sqrt{36} } }=-112.65$

The area to the left of z=-112.65 is 0.

The area to the right of z=-112.65 is 1-0=1

5 0

3 years ago

Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120

lisabon 2012 [21]

I added the diagram of the question.

Answer:
h = 60°

Explanation:
We are given that lines k and l are parallel lines.
This means that angles 120° and h are supplementary angles.
This means that their measures add up to 180°

Therefore:
180° = 120° + h
h = 180° - 120°
h = 60°

Hope this helps :)

8 0

3 years ago

Read 2 more answers

The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?

IrinaK [193]

Answer:

$h=12ft$

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

Volume = length × width × height , $V=l*w*h$

With this in mind, let's plug in the given variables in the question for this formula.

$V=648ft^3$

$l=6ft$

$w=9ft$

$h=$ ?

We don't know the height, but that's just fine. We will plug in all our values and isolate $h$ .

$V=lwh\\648ft^3=(6ft)(9ft)h$

I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

$648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}$

Notice, that the units on the left side cancel out, leaving only the unit $ft$ left next to the solution. In the same way, the units on the right side cancel out too, leaving only $h$ , height.

$\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h$

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

$V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h$

5 0

3 years ago