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3 years ago

Are the expressions bh/2 and (1/2)bh equivalent expressions?

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Bh/2 = (1/2)bh, so <span>bh/2 and (1/2)bh equivalent expressions</span>

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Pls HAAAAAAAALLLLPPPPP plez

Virty [35]

Answer:

The correct answer is F. x = 50

Step-by-step explanation:

Since angle PQR and angle TQV are vertical angles, it means their values will be equal. And since the two angles have a sum of 100°, their measure will be equal.

Therefore, the measure and value of angle TQV will be 50°.

5 0

3 years ago

From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a

Akimi4 [234]

Answer: 2.845

Step-by-step explanation:

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{n(1-p)p}$ , where p is the probability of getting success in each trial and n is the sample size.

Given : Sample size : n=110

The proportion of employees older than 55 and considering retirement : p=0.08

Then, the standard deviation is given by :-

$\sigma=\sqrt{110(1-0.08)0.08}\approx2.845347079\approx2.845$

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.

3 0

3 years ago

For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subinterva

sergij07 [2.7K]

Given

we are given a function

$f(x)=x^2+5$

over the interval [0,5].

Required

we need to find formula for Riemann sum and calculate area under the curve over [0,5].

Explanation

If we divide interval [a,b] into n equal intervals, then each subinterval has width

$\Delta x=\frac{b-a}{n}$

and the endpoints are given by

$a+k.\Delta x,\text{ for }0\leq k\leq n$

For k=0 and k=n, we get

$\begin{gathered} x_0=a+0(\frac{b-a}{n})=a \\ x_n=a+n(\frac{b-a}{n})=b \end{gathered}$

Each rectangle has width and height as

$\Delta x\text{ and }f(x_k)\text{ respectively.}$

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

$Area=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)$

Here

$f(x)=x^2+5\text{ over the interval \lbrack0,5\rbrack}$ $\Delta x=\frac{5-0}{n}=\frac{5}{n}$ $x_k=0+k.\Delta x=\frac{5k}{n}$ $f(x_k)=f(\frac{5k}{n})=(\frac{5k}{n})^2+5=\frac{25k^2}{n^2}+5$

Now Area=

$\begin{gathered} \lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{5}{n}(\frac{25k^2}{n^2}+5) \\ =\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{125k^2}{n^3}+\frac{25}{n} \\ =\lim_{n\to\infty}(\frac{125}{n^3}\sum_{k\mathop{=}1}^nk^2+\frac{25}{n}\sum_{k\mathop{=}1}^n1) \\ =\lim_{n\to\infty}(\frac{125}{n^3}.\frac{1}{6}n(n+1)(2n+1)+\frac{25}{n}n) \\ =\lim_{n\to\infty}(\frac{125(n+1)(2n+1)}{6n^2}+25) \\ =\lim_{n\to\infty}(\frac{125}{6}(1+\frac{1}{n})(2+\frac{1}{n})+25) \\ =\frac{125}{6}\times2+25=66.6 \end{gathered}$

So the required area is 66.6 sq units.

3 0

1 year ago

Plot points at(o, 3), (o, 1), and(0,5). What is true about all points with an x-coordinate of 0?

Sveta_85 [38]

They cross the y axis

7 0

4 years ago

DEFINE A VARIABLE AND SET UP AND EQUATION TO SOLVE FOR THE FOLLOWING PROBLEM, DO NOT SOLVE!

statuscvo [17]

Answer:

5.8

Step-by-step explanation:

29/5=5.8

5 0

3 years ago

Read 2 more answers