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tatuchka [14]
8 months ago
11

2. Fran needs a bookcase to hold all of his math books. He decides to try to build the bookcasepictured below. He needs to buy t

hree pieces of wood to make the shelves. Each of thesethree pieces should be 3ş feet long. He needs to buy two pieces for the sides. These twopieces should be 4-— feet each. Finally, he will need to buy one piece for the top. This pieceshould be 4 feet. What is the total length of wood that Fran needs to buy?
Mathematics
1 answer:
astraxan [27]8 months ago
5 0

Let's rewrite the mixed number as a fractions:

\begin{gathered} 3\frac{2}{3}=\frac{11}{3} \\ 4\frac{1}{2}=\frac{9}{2} \end{gathered}

Therefore, the total length will be:

3\cdot(\frac{11}{3})+2(\frac{9}{2})+4=24ft

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4, 9, 16, 25, 36, 49, 64, 81, 100, 121

a negative times a negative is a positive and squaring those numbers would be multiplying a negative by itself.

For example (-2)*(-2) is 4

**note, this only applies if the negative value is in the parentheses. (-2)^2 is different than -2^2 because with -2^2 only the 2 is getting squared and then you’d have to multiply the negative after**

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3 years ago
Evaluate [(40 + 5) − 32] ÷ 9 ⋅ 2.
CaHeK987 [17]
(45 - 32) / 9 * 2
13 / 18

the. answer is 13 / 18
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4 Which statement about a sphere is true?O The length of the diameter of a sphere is two times the length of the radius of the s
frosja888 [35]
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If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math
Inessa05 [86]

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with n sides is given by:-

(n-2)\times180^{\circ}

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. (n-2)\times180^{\circ}=1920^{\circ}

n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

7 0
2 years ago
A population is known to be normally distributed with a standard deviation of 2.8. (a) Compute the 95% confidence interval on th
Ugo [173]

Answer:

Step-by-step explanation:

Mean = sum of terms/number of terms

The mean of the given sample is

(8 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21)/9 = 14.2

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We will apply the formula

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= mean ± z ×standard deviation/√n

Where

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It becomes

14.2 ± 1.96 × 2.8/√9

= 14.2 ± 1.96 × 0.933

= 14.2 ± 1.83

The lower end of the confidence interval is 12.37

The upper end of the confidence interval is 16.03

b)

For a confidence level of 99%, the corresponding z value is 2.58

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 2.58 × 2.8/√9

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