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Neko [114]
3 years ago
5

If wxyz is a square with wz=27, find each measure

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

For a square all the sides are equal and measure 27

Step-by-step explanation:

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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
Vinvika [58]

Answer:

The point estimate for population mean is 8.129 Mpa.

Step-by-step explanation:

We are given the following in the question:

Data on flexural strength(MPa) for concrete beams of a certain type:

11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0

a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured

We use the sample mean, \bar{x} as the point estimate for population mean.

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

\bar{x} = \dfrac{\sum x_i}{n} = \dfrac{219.5}{27} = 8.129

Thus, the point estimate for population mean is 8.129 Mpa.

4 0
2 years ago
Simplify the expression:
olga55 [171]

Answer:

The correct answer is 20x-1

5 0
2 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
Question 7 (Worth 5 points)
svet-max [94.6K]

Answer:

$20.60

Step-by-step explanation:

$25.75 x 20% = $5.15

$25.75 - $5.15 = $20.60

7 0
3 years ago
Read 2 more answers
Find the values of x and y. The diagram is not to scale.
Aleksandr [31]

Step 1

<u>Find the value of x</u>

we know that

(x-1)\°=74\° -------> by corresponding angles, because the given lines are parallel

Solve for x

(x-1)\°=74\°\\x=74+1 \\ x=75\°

Step 2

<u>Find the value of y</u>

we know that

(x-1)+40+(y-2)=180

substitute the value of x and solve for y

(75-1)+40+(y-2)=180

74+40-2+y=180

112+y=180

y=180-112

y=68\°

therefore

<u>the answer is the option B</u>

x=75\°, y=68\°

8 0
3 years ago
Read 2 more answers
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