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kobusy [5.1K]
3 years ago
11

Determine whether the given lengths can be sides of a right triangle. Explain. 10 in., 24 in., 26 in.

Mathematics
1 answer:
notsponge [240]3 years ago
4 0
10 in, 24 in, and 26 in. By the Converse of the Pythagorean Theorem, the lengths must satisfy the equation c² = a² + b². Let 26 = hypotenuse and 10 and 24 the legs of the triangle.
26² = 10² + 24²
676 = 100 + 576
676 = 676.
Yes, they can be lengths of a right triangle.
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Help me please i do not understand it.
sergij07 [2.7K]
Answer:y = 2x + 4

Explanation:

1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.

2) Given two points you can find the slope (using the two points) and then the equation using one of the points.

3) slope = m = Δy / Δx

points given (3,10) , (0,4)

m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2

4) equation

y - y2
-------- = m
x - x2

  y - 4
---------- = 2
  x - 0

=> y - 4 = 2 (x - 0)

y - 4 = 2x

y = 2x + 4


3 0
4 years ago
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
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Leokris [45]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Troyanec [42]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

Step-by-step explanation:

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