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Natalka [10]
3 years ago
13

Seth has a triangle that measures 20 inches by 20 inches

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

Isosceles

Step-by-step explanation:

An isosceles triangle is a triangle in which the length of at least two sides are same.

The triangle which Seth has two sides of same length that is 20 inches.

Third side is different.

Hence. the triangle which Seth has is  isosceles.

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Given the sum s20= 910 of an arithmetic sequence and A20 = 95, Find A1​
Inessa05 [86]

Step-by-step explanation:

Sn=n/2(2a+(n-1)d)

910=n/2{2a+(n-1)d}

1820=n{2a+(n-1)d}

1820=20{2a+(20-1)d}

1820=20{2a+19d}

91=2a+19d

An=a+(n-1)d

95=a+(20-1)d

95=a+19d

91=2a+19d

---------------

4=-a

a=-4

91=2a+19d

91=2(-4)+19d

91=-8+19d

91+8=19d

99=19d

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5 0
3 years ago
Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi
stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*215 = 353.675

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

M = \frac{3.23 + 3.87}{2} = 3.55

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0
3 years ago
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45
valentinak56 [21]

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

The right hand side of Step 1:  \dfrac45+\dfrac35\neq 1

Rather, the correct sum is:

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What is the area of the partial circle with a radius of 8 cm? Use 3. 14 for pi.
Olegator [25]
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\\ \tt\hookrightarrow Area=\pi r^2

\\ \tt\hookrightarrow Area=\pi 8^2

\\ \tt\hookrightarrow Area=64\pi

\\ \tt\hookrightarrow Area=64(3.14)

\\ \tt\hookrightarrow Area=200.96cm^2

8 0
3 years ago
Read 2 more answers
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