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2 years ago

PYTHAGOREAN THEOREM

Mathematics

2 answers:

Sav [38]2 years ago

7 0

Answer:

the answer is 29

Step-by-step explanation:

a^2 + b^2 = c^2 (btw ^ means to the power)

a and b are the legs. c is the hypotenuse

21^2 + 20^2 = c^2

441 + 400 = 481

then we have to square it.

the square root of 481= 29.

btw the hypotenuse is always going to be bigger than the legs.

hope it helps!! btw it is right!

nataly862011 [7]2 years ago

6 0

The answer/length is 29

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Find the length of the diagonal of a square with perimeter 32.

snow_lady [41]

Answer:

i think A. because she is 4/2

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2 years ago

What is the quotient of 3.12 x 108 and 2.6 x 105 expressed in scientific notation?

Gnoma [55]

Answer:

1.2 * 10^3

Step-by-step explanation:

3.12 * 10^8

=========

2.6 * 10^5

Start by doing 3.12 / 1.6 = 1.2 and that is the correct number of sig digs.

Now get the power on the 10. When dividing, the powers subtract.

10^(8 - 5)

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3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind

liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± $t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )$

$Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}$

$Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67$

Sa= 1.64

$t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017$

(9-8)±2.017* $(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )$

[0.007636;1.9923]

I hope it helps!

6 0

2 years ago

What is 1024 1/5 simplified?

frutty [35]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
1024\frac{1}{5}\qquad 
\begin{cases}
1024=2^{10}\\
\frac{1}{5}=5^{-1}
\end{cases}\implies 2^{10}5^{-1}$