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3 years ago

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solong [7]3 years ago

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Some nicotine contained I have zero

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Find the length of the line segment inside the rectangular prism.

disa [49]

To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.

$c^2=a^2+b^2$

Where a = 4ft and b = 9ft.

$\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}$

So, the length of the black segment is 9.8 feet.

Now, we find the yellow line length

$c^2=a^2+b^2$

Where a = 4 and b = 6.

$\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}$ <h2>Therefore, the length of the yellow line is 7.2 feet.</h2>

8 0

2 years ago

27/45=_/5?<br> 2/6=_/3?jjjjjj

VikaD [51]

Answer:

27/45 = 3/5

2/6 = 1/3

hope dis helps

4 0

4 years ago

Read 2 more answers

The following list shows the items and prices for a restaurant order. Calculate the total amount if there is 7.5% tax and the cu

Rainbow [258]

The first thing we are going to do to find the total cost of the meal before tax:

Total cost before tax = $8.99 + 2($14.99) + $12.99 + 3($1.99)

Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97

Total cost before tax = $57.93

Regarding the 15% gratuity, remember that the unofficial rule for tipping at restaurants is to tip according to the actual value of the meal and not the tax, so we calculate the value of the tip first, and then we add it to the total at the end of our calculations.

Tip = 15%($57.93) = $8.69

Now, lets calculate the tax

Tax = 7.5%($57.93) = $4.34

Finally, we can calculate the total cost of the meal

Total cost = cost before tax + tip + tax

Total cost = $57.93 + $8.69 + $4.34 = $70.96

We can conclude that the correct answer is a. $70.96

3 0

4 years ago

Read 2 more answers

Mrs. Bennett has graded 20% of her 150 students' papers. How many papers does she still need to finish grading?

saveliy_v [14]

120

You can find out how many she has graded by multiplying 150 by the decimal version of 20% (.20). Then, subtract the number you get by 150.

3 0

3 years ago

Read 2 more answers

Consider random samples of size 50 from a population with proportion 0.15

WITCHER [35]

Answer:

a) Mean = 0.75

b) Standard error = 0.051

c) Yes

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Sample proportion , p = 0.15

a) Mean

$\mu = np = 50(0.15) = 7.5$

b) Standard error

$S.E = \sqrt{\dfrac{p(1-p)}{n}} = \sqrt{\dfrac{0.15(1-0.15)}{50}} = 0.051$

c) Application of central limit theorem

Since the sample size is larger than 30, we cam apply central limit theorem for normal approximation.

6 0

4 years ago