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ANTONII [103]
2 years ago
11

Can someone explain how to use the Phythagoren theorem please?

Mathematics
1 answer:
Alex2 years ago
5 0

Step-by-step explanation:

there are three parts first one is hypotenuse, base, height....

hope you understood

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Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
Find the smallest value of k such that 3240k is a perfect cube
Zarrin [17]

Answer:

225

Step-by-step explanation:

3240k = 2×2×2×3×3×3×3×5×k

Every factor should be in groups of 3

(3×5)² = k

k = 225

3 0
3 years ago
Read 2 more answers
3 1183 long division​
Triss [41]
= 394 R 1

= 394 1/3

1183 divided by 3 equals
394 with a remainder of 1
3 0
3 years ago
The perimeter of a triangle is 199 inches. If one side of the triangle is six more than the shorter side, and the longer side is
Keith_Richards [23]
Shortest side (a) = 58
middle side (b) = 64
longest side (c) = 77

the 3 sides a + b + c = 199
b = a + 6
c = a + 19

substitute your new values for b & c into your original formula, so:
a + (a+6) + (a+19) = 199
3a + 25 = 199
3a = 174
a = 58

then substitute 58 into your b & c formulas to figure out the rest
b = a + 6 = 58 + 6 = 64
c = a + 19 = 58 + 19 = 77

3 0
3 years ago
The figure is made up of two shapes a semi circle on a rectangle what is the exact perimeter of the
Llana [10]

The perimeter of the composite shape is: (3π + 12)mm

<h3>What is a semicircle?</h3>

A semicircle is a part of a circle cut through its diameter.

Analysis:

perimeter of a semicircle = πr

where r = 6/2 = 3mm

perimeter of a semicircle = π(3)  = 3π

perimeter of incomplete rectangle = L+2B, L = 6mm, B = 3mm

perimeter of rectangle = 6mm +2 x 3= 12mm

perimeter of shape = (3π+12)mm

In conclusion, the perimeter of the rectangle is (3π+12)mm

Learn more about semicircles :brainly.com/question/285710

#SPJ1

3 0
1 year ago
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