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spayn [35]
3 years ago
8

Consider that a data set of 10 data points has a mean of 5. If every data point was doubled in the set, how might that affect th

e mean of the data set?
a) The mean would double to 10.

b) The mean would increase by 2 to 7

c) The mean would increase by 50.

d) The mean would remain to be 5.
Mathematics
1 answer:
Vesnalui [34]3 years ago
4 0

Answer:

A) The mean would double to 10.

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The answer to this problem is false due to the number 2 not being used in the equation.

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What is the main purpose of closing entries for revenues and expenses into Profit and Loss Summary? a. To determine the profit f
ANTONII [103]

Answer:

A

Step-by-step explanation:

Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.

5 0
2 years ago
The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formula
Usimov [2.4K]

well, about A and D, I just plugged the values on the slope formula of

\bf \begin{array}{llll} g(x)=x^3-4x+1\\ L(x) = 8(x-2)+1 \end{array} \qquad \begin{cases} x_1=1.9\\ x_2=2.1 \end{cases}\implies \cfrac{f(b)-f(a)}{b-a}

for A the values are 8.01 and 8.0, so indeed those "slopes" are close. \textit{\huge \checkmark}

for D the values are -2.25 and 8.0, so no dice on that one.

for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.

checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice. \textit{\huge \checkmark}

for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.

for E, do they intercept at (2,1)?  well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent. \textit{\huge \checkmark}

for F, we know the slope of the line L(x) is 8, is g'(2) = 8?  let's check

recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice. \textit{\huge \checkmark}

6 0
3 years ago
1. What percent of students need swimming lessons?
ANEK [815]
1.)
460. 100%
74. X
X= 100•74/460
X=16.09%

2.)
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172. X
X=172•100/175
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4 0
3 years ago
. Evaluate tan(α + β) = sin(????+????) / cos(????+????) to show tan(???? + ????) = tan(????)+tan(????????) / 1−tan(????) tan(???
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Answer with Step-by-step explanation:

We are given that

tan(\alpha+\beta)

\frac{sin(\alpha+\beta}{cos(\alpha+\beta)}

By using formulatan x=\frac{sin x}{cos x}

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By using property:sin(x+y)=sin x cosy+cos x sin y

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Divide numerator and denominator by cos\alpha cos\beta

Then, we get

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Hence, proved

Substitute \alpha=\beta

Then we get

tan 2\alpha=\frac{tan\alpha+tan\alpha}{1-tan^2\alpha}

tan(2\alpha)=\frac{2tan\alpha}{1-tan^2\alpha}

Hence, proved.

3 0
3 years ago
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