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3 years ago

Complete this table showing the number of shaded triangles in each step and area of each triangle!

Mathematics

1 answer:

djverab [1.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

From the table attached we find,

Number of shaded triangles = 1

Area of each shaded triangle = 256 square inches

Now we can complete the table following the same pattern,

Step number Number of shaded triangles Area of the shaded triangles

0 1 256

1 3 256 × 3 = 768

2 5 256 × 5 = 1280

3 7 256 × 7 = 1792

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The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth?

stiks02 [169]

Given:

The variance of a distribution = 195.

To find:

The standard deviation, rounded to the nearest thousandth.

Solution:

Standard deviation of a distribution is the square root of the variance of the distribution.

Here, the standard deviation of the distribution is

$S.D.=\sqrt{195}$

$S.D.=13.96424$

$S.D.\approx 13.964$

Therefore, the standard deviation is 13.964.

8 0

3 years ago

Solve both by substitution method (algebra 2) and show work please -2x-7y=22 -7x-5y=-1

Alex17521 [72]

$\bf \begin{cases}
-2x-7y=22\\
-7x-5y=-1
\end{cases}\qquad \textit{let's solve the \underline{second one} for "x"}
\\\\\\
-7x-5y=-1\implies -7x=5y-1\implies x=\cfrac{5y-1}{-7}
\\\\\\
\boxed{x=\cfrac{1-5y}{7}}\impliedby \textit{now, let's substitute it in the \underline{first one}}
\\\\\\$

$\bf -2\left( \frac{1-5y}{7} \right)-7y=22\implies \cfrac{10y-2}{7}-7y=22
\\\\\\
\textit{now, let's multiply both sides by 7, to toss the denominator}
\\\\\\
7\left( \cfrac{10y-2}{7}-7y \right)=7(22)\implies 10y-2-49y=154
\\\\\\
-39y=156\implies y=\cfrac{154}{-39}\implies \boxed{y=-4}
\\\\\\
\textit{now, let's use that in the \underline{first one}}
\\\\\\
-2x-7(-4)=22\implies -2x+28=22\implies 6=2x\implies \cfrac{6}{2}=x
\\\\\\
\boxed{3=x}$

4 0

3 years ago

HELP I do not understand.

zzz [600]

There is no mode

because none of them appear the most

7 0

3 years ago

Read 2 more answers

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

KiRa [710]

Answer:

1863 $meters^{2}$

Step-by-step explanation:

( 23 x 12 ) x 2 = 552

69 x 19 = 1311

1311

+552

= 1863 $meters^{2}$

8 0

3 years ago

A company has budgeted direct materials purchases of $300,000 in July and $480,000 in August. Past experience indicates that the

jasenka [17]

Answer:

The budgeted cash disbursement for August is $696,000

Step-by-step explanation:

July direct material purchase is

30% of 300000 =$90000

August direct material purchase

70% of 480000 = $336000

Wage expense =$ 150000

Purchase of office equipment= $72000

Selling and administrative expense= $ 48000

Depreciation=0

Adding everything gives $696000, which is the budgeted cash disbursement for August.

4 0

4 years ago