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Elenna [48]
3 years ago
9

Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”ex

plain benji's error
Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
Benji’s error is that the division should happen BEFORE subtracting 3. 3 should be subtracted from the quotient.

The correct response should be: (n/9)-3
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Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)
aleksklad [387]

Answer:

360 mi^3

Step-by-step explanation:

The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values

solid  1

length = 11 - 4 = 7 mi

base area = length x width = 7 x 4 = 28 mi^2

V = base area x height = 28 x 6 = 168 mi^3

solid 2

base area = 8 x 4 = 32 mi^2

V = 32 x 6 = 192 mi^3

total volume: 168 + 192 = 360 mi^3

3 0
3 years ago
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In a class of 42 students, a medium slice of pizza with 8 slices is being shared if one slice is for one person what is the frac
Mrac [35]
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3 0
3 years ago
Let f(x) = x2 - 5 and g(x) = 3x2. Find g(f(x))
m_a_m_a [10]

Answer:

Step-by-step explanation:

to find composite function:

put the inner funtion into the outer function

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outer= 3x^2

hence,

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3 0
3 years ago
A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the dri
vekshin1

Answer:

The margin of error for a 90% confidence interval is 0.075.

Step-by-step explanation:

We are given that he asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not.

Of the 100 people who phoned in, 70 answered "yes."

Let \hat p = sample proportion of people who say yes

So,  \hat p=\frac{X}{n}  =  \frac{70}{100} = 0.70

where, X = Number of people who say yes = 70

            n = Number of people phoned in = 100

<u>Now, Margin of error formula for any confidence interval is given by;</u>

         Margin of error =  Z_(_\frac{\alpha}{2}_ ) \times \text{Standard of Error}

where, \alpha = level of significance = 10%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, the critical value of x at 5% (\frac{\alpha}{2} =\frac{0.10}{2}) level of significance is 1.645.

SO,<em><u> Margin of Error</u></em> =  1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }

                                =  1.645 \times \sqrt{\frac{0.70(1-0.70)}{100} }

                                =  0.075

Hence, the margin of error for a 90% confidence interval is 0.075.

8 0
3 years ago
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
Sveta_85 [38]
My answer would be 20.10 which would equal as 21

8 0
4 years ago
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